The number of boxes of donuts he can buy is 3.
What is an expression?An expression contains two variables or numbers with addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
A box of dozen donuts costs = $6.50
Amount taken = $25
The number of boxes of donuts he can buy.
= 25 ÷ 6.50
= 3.85
Thus,
The number of boxes of donuts he can buy is 3.
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6. The third row of a stem-and-leaf chart appears as follows: 21 | 0 1 3 5 7 9. Assume whole
number values.
a. What is the "possible range" of the values in this row?
b. How many data values are in this row?
c. List the actual values in this row of data.
a. The possible range of values in this row is from 210 to 219, inclusive.
To see why, note that the stem value is 21, so each leaf represents a number that should be added to 21. The smallest possible value is when the leaf is 0, which gives 21 + 0 = 210. The largest possible value is when the leaf is 9, which gives 21 + 9 = 219.
b. There are 6 data values in this row.
c. The actual values in this row are 210, 211, 213, 215, 217, 219.
What is leaf?In statistics, a leaf is the last digit or digits of a data point in a stem-and-leaf plot. A stem-and-leaf plot is a graphical display of data that shows the distribution of values by separating each value into two parts: a stem, which consists of the leading digits of the value, and a leaf, which consists of the final digit or digits of the value. The stem values are listed in a vertical column, and the leaves are listed in a row next to the corresponding stem. This type of plot allows us to see the shape of the data and the distribution of values within it.
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Convert the complex number 2√2(cos 135° + i sin 135°) into rectangular
(standard) form. Express your answer in simplest radical form.
The solution to the complex number in rectangular form is; -2 + 2i
How to express complex number in rectangular form?The complex number is given as;
2√2(cos 135° + i sin 135°)
The standard form is a + bi.
The value of cos 135° is; -(√2)/2
The value of sin 135° is; (√2)/2
Plugging these values into the given equation is;
2√2(-(√2)/2 + ((√2)/2)i)
Expanding the bracket gives;
-2 + 2i
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Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?
The correct transformation is, a dilation with a scale factor less than 1 and then a reflection.
What is transformations?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Given that, a transformation that maps polygon ABCD to polygon A'B'C'D',
We are asked to select the correct composition of similarity transformations,
According to the graph, there is a scale factor of 1/2 which is smaller than 1,
Also, the polygon is dilating and then reflected.
Hence, the correct transformation is, a dilation with a scale factor less than 1 and then a reflection.
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the quotient of twice the difference of five less than a number and six
what's the algebraic expression
Hi there, here's your answer:
Given:
The quotient of twice the difference of five less than a number and six.
Let the number be x.
By this, it is understood that the algebraic equation is in a fractional form, with the numerator being
Twice the difference of five less than a number, i.e.
2(x - 5)
And the denominator is 6.
Therefore, we get the algebraic equation to be:
[tex]\frac{2(x-5)}{6}[/tex]
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If f(x) = 3x² + 1 and g(x) = 1-x, what is the value of (f-g)(2)
Answer:
f-g= 3x²+1-(1-x)
3x²+1-1+x
3x²+x=0
x(3x+1)=O
x=0, 3x+1=0
So, x=0 or -1/3
GIVING BRAINLIEST
The box plot shows the times for sprinters on a track team.
A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 44, 48, 50.5, 53, and 56 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.
Which of the following lists the range and IQR for this data?
The range is 12, and the IQR is 5.
The range is 12, and the IQR is 10.
The range is 5, and the IQR is 12.
The range is 5, and the IQR is 10.
Answer: D Im doing the quiz
Answer:D:the range is 5, and the IQR is 10.
Step-by-step explanation:
4 24 18 39
What is the next number in this sequence?
The next number in this sequence is 63, which is the result of multiplying the previous number (39) by 2 and then adding 6.
I need answer please thanks
The total amount of the single payment will be $6,924.95.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
The rate of interest is given as,
r = 0.0775 / 2
r = 0.03875
The amount for 2 years is given as,
A = $1,300 × (1 + 0.03875)⁴
A = $1513.52
The amount for 5 years is given as,
A = $3,700 × (1 + 0.03875)¹⁰
A = $5,411.43
The total amount of repayment is given as,
Total amount = $1513.52 + $5411.43
Total amount = $6,924.95
The total amount of the single payment will be $6,924.95.
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please help me out ty!
1. Rectangle reports operating cash flows of $3.59 billion, investing cash flows of $0.59 billion, and financing cash flows of -$4.18
billion.
2. Circle reports operating cash flows of $1.39 billion, investing cash flows of -$0.29 billion, and financing cash flows of -$1.38 billion.
The beginning cash amount is $0.69 billion.
3. Pentagon reports operating cash flows of $0.08 billion, investing cash flows of $0.62 billion, and a change in total cash of $0.05
billion.
4. Square reports operating cash flows of $0.59 billion, financing cash flows of $0.41 billion, and a change in total cash of $0.01 billion.
5. Hexagon reports investing cash flows of -$1.40 billion, financing cash flows of $1.02 billion, and a change in total cash of $0.01
billion.
(Net cash outflows should be indicated with a minus sign. Enter your answers in billions rounded to 2 decimal places.)
Required:
1. What is the amount of the change in total cash of Rectangle?
2. What is the ending cash amount of Circle?
3. What is the amount of cash flows from financing activities of Pentagon?
4. What is the amount of cash flows from investing activities of Square?
5. What is the amount of cash flows from operating activities of Hexagon?
1. Change in total cash
2. Ending cash amount
3. Amount of outflows
4. Amount of outflows
5. Amount of inflows
To get the cash flows from operating activities, we subtract this from the change in total cash, which is $0.01 billion, to get -$0.39 billion. Rounding to two decimal places, we get -$1.01 billion).
What is algebraic expression ?
An algebraic expression is a combination of variables, numbers, and mathematical operations, such as addition, subtraction, multiplication, and division. It can be used to represent a mathematical relationship or formula and can be simplified or evaluated using algebraic rules.
The change in total cash of Rectangle is $0.02 billion (3.59 - 0.59 - 4.18 = -0.98, which is rounded to -$1.00 billion, and then added to the beginning cash amount of $0.69 billion to get $0.69 - $1.00 = -$0.31 billion or -$0.31/100 = -$0.02 billion).
The ending cash amount of Circle is $0.72 billion (1.39 - 0.29 - 1.38 = -0.28, which is added to the beginning cash amount of $0.69 billion to get $0.41 billion or $0.41/100 = $0.72 billion).
The amount of cash flows from financing activities of Pentagon is -$0.55 billion (the change in total cash of $0.05 billion is the sum of the operating cash flows and investing cash flows, which is $0.08 billion + $0.62 billion = $0.70 billion. To get the cash flows from financing activities, we subtract this from the change in total cash, which is $0.05 billion, to get -$0.65 billion. Rounding to two decimal places, we get -$0.55 billion).
The amount of cash flows from investing activities of Square is -$0.40 billion (the change in total cash of $0.01 billion is the sum of the operating cash flows and financing cash flows, which is $0.59 billion + $0.41 billion = $1.00 billion. To get the cash flows from investing activities, we subtract this from the change in total cash, which is $0.01 billion, to get -$0.99 billion. Rounding to two decimal places, we get -$0.40 billion).
The amount of cash flows from operating activities of Hexagon is -$1.01 billion (the change in total cash of $0.01 billion is the sum of the investing cash flows and financing cash flows, which is -$1.40 billion + $1.02 billion = -$0.38 billion.
Therefore, To get the cash flows from operating activities, we subtract this from the change in total cash, which is $0.01 billion, to get -$0.39 billion. Rounding to two decimal places, we get -$1.01 billion).
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Aida is 15 years old. Brice is five years younger than Aida. Henry is three years younger than Aida. How old is Brice?
Answer:
Bryce is 10 years old
Step-by-step explanation:
The age of Brice is given by B = 10 years old
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as B
Now , the value of B is
Substituting the values in the equation , we get
The age of Aida = 15 years
The age of Brice = 5 years younger than Aida
On simplifying the equation , we get
So , age of Brice = 15 - 5 = 10 years
The age of Henry = three years younger than Aida
So , the age of Henry = 15 - 3 = 12 years
Hence , the age of Brice is 10 years old
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8.The side lengths of the smaller hexagon were increased by a factor of √2 to make the larger hexagon. If the area of the smaller hexagon is 9√3 square units, what is the area of the larger hexagon?
a. 36√3 square units
b. 18√3 square units
c. 18√6 square units
d. 9√6 square units
The area of the larger hexagon in discuss as required in the task content is; Choice B; b. 18√3 square units.
What is the area of the larger hexagon?It follows from the task content that the area of the larger hexagon be determined.
Recall from the concept of similar shapes; if the ratio of side lengths of two similar shapes is; k, therefore the ratio of their perimeters is k and the ratio of their areas is; k².
On this note, since the larger hexagon is √2 times the side length of the smaller hexagon;
It follows that the area of the lager hexagon is (√2)² times the area of the smaller one.
Therefore, Area of larger hexagon = √2² × 9√3
= 18 √3.
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a positive angle less than 360 degrees that is coterminal with -305 is
The positive angle which is less than 360 degrees and is co-terminal with -305 as required is; 55°.
What is the positive angle co-terminal with -305°?It follows from the task content that the position angle which is co-terminal with -305° as required is to be determined.
Let the positive angle in discuss be; x.
Therefore, the angle x = 360 + (-305)
Consequently, it can be calculated as follows;
x = 360 - 305.
x = 55°
Hence, the required value of the positive co-terminal angle is; 55°.
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Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
X
1
2345
y
4
-5
-14
-23
-32
The data in the table represents a linear function, as when x is increased by one, y is subtracted by a constant amount of 9.
How to classify the functions?A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.
A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.
For this problem, the function is classified as linear, as the difference between consecutive terms is 9, while the ratios are different.
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Organizar la riqueza a través de la pro-
ducción de bienes y servicios es una
característica de la empresa que se
relaciona con su
A) fin lucrativo.
B) fin mercantil.
C) fin económico.
D) responsabilidad social.
E) responsabilidad económica.
Organizar la riqueza a través de la pro- ducción de bienes y servicios es una característica de la empresa que se relaciona con su A) fin lucrativo.
What is the profit about?Las empresas tienen como objetivo principal la maximización de sus ganancias y el crecimiento económico a través de la producción y venta de bienes y servicios. La obtención de ganancias es el fin lucrativo de la empresa y es a través de él que se organiza la riqueza generada por la empresa.
Sin embargo, las empresas también tienen una serie de responsabilidades sociales y éticas, por lo que pueden combinar su fin lucrativo con una cierta responsabilidad social o económica.
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This is the continuation of the question I have asked previously:
d. find the logarithmic model. Use one of these equations as your base: y1~alog(x1)+k or y1~aln(x1)+k. Then write down the best fit curve for the data.
4. a. Where on your radio dial would you find a station with a frequency of 93.3? Show work to justify your answer.
b. If you turned the radio dial to be 4 centimeters from the left end of the radio, what radio station would you pick up? Show work to justify your answer.
d. The logarithmic model can be expressed as y1~alog(x1)+k or y1~aln(x1)+k.
The best fit curve for the given data would be: y1 = 0.2 * log(x1) + k or y1 = 0.2 * ln(x1) + k
a. If you wanted to find a station with a frequency of 93.3 on your radio dial, you would need to use the formula Frequency = 88 + 0.2 * (Channel Number). Using this formula, we can calculate that the channel number for a frequency of 93.3 is:
Channel Number = (Frequency - 88) / 0.2
Channel Number = (93.3 - 88) / 0.2
Channel Number = 5.3
Therefore, a station with a frequency of 93.3 can be found on channel 5.3 on your radio dial.
b. If you turned the radio dial to be 4 centimeters from the left end of the radio, the channel number would be:
Channel Number = 4 / 0.2
Channel Number = 20
Using the formula Frequency = 88 + 0.2 * (Channel Number), we can calculate that the frequency for channel 20 is:
Frequency = 88 + 0.2 * (Channel Number)
Frequency = 88 + 0.2 * (20)
Frequency = 96.0
Therefore, turning the radio dial to be 4 centimeters from the left end of the radio, you will pick up a station with a frequency of 96.0.
Mr. Kelso went shopping for school supplies. He purchased white boards for $0.79 each, sharpies for $1.56 each and glue sticks for $0.85 each and spent a total of $91.92. If he purchased five times the number of white boards as glue sticks and 10 more sharpies than glue sticks, how many of each item did he purchase?
Help please!
Answer:
Let's call the number of white boards that Mr. Kelso purchased "W", the number of sharpies "S", and the number of glue sticks "G". We know the following information:
W = 5G
S = G + 10
And we also know the total cost of the items:
0.79W + 1.56S + 0.85G = 91.92
We can use the first equation to substitute for W in the second equation:
0.79(5G) + 1.56(G + 10) + 0.85G = 91.92
Expanding and simplifying the equation:
4.95G + 1.56G + 16.6 + 0.85G = 91.92
7.36G + 16.6 = 91.92
7.36G = 75.32
G = 10.25
So Mr. Kelso purchased 10 glue sticks. Using the first equation, we can find that he purchased 5 * 10.25 = 51 white boards. And using the second equation, we can find that he purchased 10.25 + 10 = 20.25 sharpies.
Since the number of each item must be a whole number, we round up or down to the nearest integer. In this case, it would make sense to round up the number of sharpies to 21. So Mr. Kelso purchased 51 white boards, 21 sharpies, and 10 glue sticks.
Please help me with this Problem!
Answer:
what is that maybe l can be of help to u
New home sales declined 0.3% in October, according to a government report released Wednesday. Despite the monthly drop, sales were still up 17% from a year earlier. New houses sold at an annual rate of 368,000 in the month, down from 369,000 in September, according to a report from the U.S. Census Bureau and the Department of Housing and Urban Development. http://money.cnn.com/2012/11/28/real_estate/new-home-sales/index.html
Find the percentage decrease from 369,000 to 368,000. Your answer should be in PERCENT FORM rounded to TWO DECIMAL PLACES. Don't forget to include the percent symbol.
The percentage decrease for the sale of the house is 0.27%.
What are the nearest two places?
The second place to the right of the decimal point, or the hundredth place, is used to round a decimal number to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70.
Given that the initial cost of a home is 369,000.
The cost of a house decreases from 369,000 to 368,000.
The formula of percentage change is
(Final value - initial value)/ initial value × 100
= [(368,000 - 369,000)/369,000] × 100
= (-1000)/369,000 × 100
= 0.27
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A positive integer is 1 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is 2, then find the two integers.
The two integers are 1 and 2.
What do you mean by Integers?An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
Integer is a Latin word which means 'whole' or 'intact'. This means integers do not include fractions or decimals.
A number is positive if it is greater than zero, so they are positive integer.
A number is negative if it is less than zero, so they are negative integer.
A number line is a visual representation of numbers on a straight line. This line is used for comparison of numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally.
Given:
x be a positive number
x + 1 = y
The sum of reciprocal of the smaller and twice the reciprocal of the larger number
Substitute
[tex]\frac{1}{x} + \frac{2}{y} = 2[/tex]
[tex]\frac{1}{x} + \frac{2}{x + 1} = 2[/tex]
[tex]\frac{x+ 1 + 2x}{x(x +1)} = 2[/tex]
[tex]x + 1 + 2x = 2x^2 + 2x[/tex]
Subtracting 2x on both sides, we get
x + 1 + 2x - 2x = 2x² + 2x - 2x
x + 1 = 2x²
2x² - x - 1 = 0
2x² - 2x + x - 1 = 0
2x(x - 1) + 1(x - 1) = 0
(2x + 1)(x - 1) = 0
x = -1/2 and x = 1
But x = -1/2 is not possible. Becuase x is a positive number.
So, x = 1
y = x + 1
y = 2
The two integers are 1 and 2.
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Hallie completes 1 lap around the track every 90
seconds. Based on the information, what is her
running speed, in meters per hour?
Answer:
40 meters per hour.
Step-by-step explanation:
How many seconds are in an hour? 3600. Divide 3600 by 90 to get 40.
Mrs. Morris drove 1116 more miles in June than in May, she drove 873 miles. How many miles did you sure drive in June
Answer:
Mrs. Morris drove a total of 1989 miles in June. This can be calculated by adding 873 miles (the amount she drove in May) to 1116 miles (the amount she drove more in June). Therefore, 873 + 1116 = 1989 miles.
Which set of ordered pairs does NOT represent a function? Responses A (0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)(0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9) B (0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)(0, 1), (2, 2), (4, 8), (-2, 7), (5, 8) C (1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)(1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2,5) D (-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)(-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2) E (-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4) PLEASE HELP and please dont give me a answer id you really dont know.
The set of ordered pairs of option A does not represent a function. The solution has been obtained using the properties of function.
What is a function?
A relationship between a number of inputs and one output per input is referred to as a function. Typically, a function is denoted by the notation f(x), where x is the input. Typically, a function is represented as y = f(x).
We know that for one input, a function can have only one output.
But, in option A, for the same input value 2, there are two output values 2 and 7. Whereas in other options, each input has only one output.
Hence, the set of ordered pairs of option A does not represent a function.
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12x + 3y = -3 Find the slope and the -intercept. Then use them to graph the line.
On solving the provided question, we can say that the slope intercept equation is 12x + 3y = -3 and slope, m = -4
what is slope intercept?In mathematics, the intersection point is the place on the y-axis where the slope of the line crosses. a place where the y-axis crosses on a line or curve. Y = mx+c, where m stands for the slope and c for the y-intercept, is used as the equation for the straight line to show this. The slope (m) of the line and its y-intercept (b) are emphasised in the equation's intercept form. When an equation has the intercept form (y=mx+b), the slope is m and the y-intercept is b. Some equations can also be rewritten such that they seem to be slope intercepts. If y=x is rewritten as y=1x+0, for instance, the slope and y-intercept are both changed to 1.
the slope intercept equation is
12x + 3y = -3
3y = -12x - 3
y = -4x - 1
also, y = mx + c
so, slope, m = -4
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5/12+1/12 112
1 over 12
1/2
1 half
1/4
1 fourth
7/12
7/12 can be written as a mixed number as follows:
7/12 = 7 ÷ 12/12 = 0 and 7/12.
So 7/12 can be expressed as "zero and seven twelfths" or simply "seven twelfths."
Need help would be much appreciated.
a. The composite function is N(T(t)) = 290t² - 380t + 386.44
b. the number of bacteria after 5.3 hours is 6519 bacteria.
What is a function?A function is a mathematical equation that shows the relationship between two variables.
What is a composite function?A composite function is a function which contains another function.
How to find the composite function?Since the number of bacteria in a refrtgerated food product is given by N(T) = 29T² - 76T + 30 , 3 < T < 33 where T is the temperature of the food.
Also, when the food is removed from the refrigerator, the temperature is given by T(t) = 5t + 1.4 where t where t is the time in hours.
So, to find the composite function N(T(t)), we substitute T(t) into N(T).
So,
N(T) = 29T² - 76T + 30
N(T(t)) = 29(5t + 1.4)² - 76(5t + 1.4) + 30
Expanding the brackets, we have that
N(T(t)) = 29(10t² + 14 + 1.96) - 76(5t + 1.4) + 30
N(T(t)) = 290t² + 406 + 56.84 - 380t - 106.4 + 30
N(T(t)) = 290t² - 380t + 406 + 56.84 - 106.4 + 30
N(T(t)) = 290t² - 380t + 386.44
So, the function is N(T(t)) = 290t² - 380t + 386.44
b. How to find the number of bacteria after 5.3 hours?Since N(T(t)) = 290t² - 380t + 386.44 is the number of bacteria after t hours.
To find the number of bacteria after 5.3 hours, we substitute t = 5.3 into the equation.
So,
N(T(t)) = 290t² - 380t + 386.44
N(T(5.3)) = 290(5.3)² - 380(5.3) + 386.44
N(T(5.3)) = 290(28.09) - 380(5.3) + 386.44
N(T(5.3)) = 8146.1 - 2014 + 386.44
N(T(5.3)) = 6518.54
N(T(5.3)) ≅ 6519 bacteria
So, the number of bacteria after 5.3 hours is 6519 bacteria.
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College bridge
Rewrite log[()* . c using the properties of logarithms.
C4 logo a
4. log b + log c
4. log a
C4 log6 a
-
-
4. log b + 4. logo c
4-logo blog c
4 logo a- log b + logo c
The expression "log[a * b.c]" can be rewritten as 2 * log a + log b + log c.
How did we arrive at the expression?The expression "log[a*b.c]" can be rewritten using the properties of logarithms as follows:
Use the logarithmic property log(a * b) = log a + log b:
log[a * b.c] = log (a * b) + log c
Apply logarithmic property log(a^n) = n * log a:
log[a * b.c] = log (a^2 * b) + log c = 2 * log a + log b + log c
So, the expression "log[a * b.c]" can be rewritten as 2 * log a + log b + log c.
Therefore, the correct answer is as given above. It could then be concluded that the rewritten expression will then be 2 * log a + log b + log c.
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Dodi has 2 cups of liquid starch and will use the entire amount. She plans to store the slime in containers that each hold a maximum of 6 fluid ounces how many containers will she need (hint 2 cups = 16 fluid ounces
The number of containers needed is given as follows:
3 containers.
How to obtain the number of containers needed?The number of containers needed is obtained applying the proportions in the context of this problem.
She has 2 cups, hence the number of fluid ounces that she has is given as follows:
16 fluid ounces.
Each container holds a total of 6 fluid ounces, hence the number of containers needed is given as follows:
16/6 = 3 containers.
(rounding up).
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Naomi has seven times as many marbles as Cindy. Naomi has 42 marbles. Which equation and solution
represent the number of marbles, m, Cindy has?
Calculate the area of the shape below. For this problem, use 3.14 for pi 3- in
The area of the shape given which is a circle is; 38.465 in²
How to find the Area of the Circle?The area of a circle is π multiplied by the square of the radius. The area of a circle(A) when the radius 'r' is given is πr².
Area = πr²
The parameters are;
radius; r = 3¹/₂ inches = ⁷/₂ inches
Thus;
Area = π * (⁷/₂)²
Area = π * 49/4
Area = 3.14 * 49/4
Area = 38.465 in²
That's the area of the circle shape given.
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Make T the subject of the relation T=1/p+1/Q
Answer: T=Q/p+1
Step-by-step explanation:
Rearrange
