If Plan B has a monthly charge of $24 plus an additional charge of $0.05 per minute. The number of minutes of monthly usage that both plans cost the same amount is 160 minutes.
How to find the number of minutes?Let x represent the number of minutes of monthly usage
Hence,
Formulate an equation
0.05x + 24 = 32
Combine like terms
0.05x = 32 -24
0.05x = 8
Divide both side by 0.05x
x = 8/0.05
x = 160 minutes
Therefore 160 is the number of minutes.
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Is (–4, 10) a solution to the equation 10 – 5x = y? Explain your answer.
Movie ticket cot $8 for regular admiion and $5 for tudent. For a particular movie, 48 ticket are old and the amount collected for the ticket wa $300. Find the number of ticket old to tudent. Find the number of ticket old at regular price. Set up a ytem of 2 equation with 2 variable to olve thi problem
The number of tickets sold at a regular price is 20.
The linear equation:
an algebraic equation of the form y=mx + b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Let x be the number of regular admission and y be the number of students.
The first statement is 48 tickets are sold. By this we get the first equation:
x + y = 48 ----------(1)
The second statement is the total collection for the ticket is $300. Form this we get the second equation:
8x + 5y = 300 --------(2)
Multiplying the equation by 5 we have:
5x + 5y = 240 --------(3)
Now subtracting equation (3) from (2) we get:
3x = 60
x = 20
Therefore we get that the ticket sold at regular price is 20.
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What value of n in the expression below would make it a
perfect square trinomial?
x² −14x + n
Answer:
n = 49
Step-by-step explanation:
49 has a factor of -7 which can also add up to -14
Eg : -7(-7) = 49, -7 + (-7) = -14
49
x²-14x+49=(x-7)²
An algebraic expression that is created by squaring a binomial expression is known as a perfect square trinomial.
It is of the form (ax2 + bx + c).
Real numbers a, b, and c are present here, and a ≠0.
The given equation is x2 + 14x + c
To find the value of c
We can take half of the linear coefficient and square it
14/2 = 7
72 = 49
Therefore, the value of c is 49.
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Max organized a community toy drive for the holidays. He asked each family to donate a total of 4 gifts. Twelve families participated in the toy drive. Write and solve an equation that represents how many gifts were donated. 4g = 12; g = 3 gifts g + 4 = 12; g = 8 gifts g − 4 = 12; g = 16 gifts; g = 48 gifts
The suitable equation and solution is given by (D) g=48 gifts.
Given that max organized a community toy drive for the holidays.
He asked each family to donate a total of 4 gifts.
12 families participated in the toy drive.
If the total number of gifts is g, then the equation is given by,
g = 12*4 = 48 gifts.
Hence the correct option is (D) g=48 gifts.
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Olive and Ryan have picture frames with the same perimeter. Olive’s picture frame has a width of 1.25 times the width of Ryan’s picture frame. What is the length, l, of Olive’s picture frame?
The picture frame is 9 by 9
The length, l, of Olive’s picture frame is 18 - 1.25d, if Olive and Ryan have picture frames with the same perimeter.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
The perimeter of the rectangle = 2(length + width)
Let a by b the dimensions for Olive's picture
Let c by d the dimensions for Ryan's picture
b = 1.25d
The perimeter of the picture = 2(9 + 9) = 36
2(a + b) = 36
a + b = 18
a = 18 - b = 18 - 1.25d
Thus, the length, l, of Olive’s picture frame is 18 - 1.25d, if Olive and Ryan have picture frames with the same perimeter.
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b. Find the zeros of the function D(k) and make a sketch of its graph.
Play cues with the dimensions shown reign algebraic expression that Jackson can use to find the total volume in cubic inches of the two bins for any value of I then find the total volume of the bins
when I equals four
The aquarium has 1 fewer red fish than blue fish. 60% of the fish are blue. How many blue fish are in the aquarium? show your work.
If the aquarium has 1 fewer redfish than bluefish. 60% of the fish are blue. There are 5 out of 3 blue fish in the aquarium.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol. The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages.
It is given that, the aquarium has 1 fewer redfish than bluefish. 60% of the fish are blue.
If blue, then 60%. 2/5 are red and 1/3 are blue. Two redfish and three bluefish are present.
Thus, if the aquarium has 1 fewer redfish than bluefish. 60% of the fish are blue. There are 5 out of 3 blue fish in the aquarium.
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Mathematics
Need help asap
a) the acceleration = 0.028 m/s²
b) constant speed = 10m/s
d) Distance travelled during first 10 sec = 50m
e) Distance travelled during last 10 sec = 75m
f) the total distance travelled = 350 m
Total distance travelled during first 10 sec = area of triangle
= 1/2 * 10 * 10
= 50m
Total distance travelled during next 15 sec = area of square
= 15 * 15
= 225
Total distance travelled during last 10 sec = area of triangle
= 1/2 * 10 * 15
= 75m
Total distance travelled = 50 + 225 + 75
= 350m
Velocity = Total distance / Time taken
= 350/ 35
= 10m/s
Acceleration = Velocity / time taken
= 10 / 35
= 0.028 m/s²
c)
= -0.028 m/s²
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e.) if the car's speed is 65 kilometers per hour, if it possible that the bus speed 75 kilometers per hour explain ?
pa help plsss with explanation
If the car's speed is 65 kilometers per hour, if it possible that the bus speed 75 kilometers per hour it is not possible.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
if the car's speed is 65 kilometers per hour, if it possible that the bus speed 75 kilometers per hour
Time = 2 hours
Distance = speed x time
Distance(for car ) = (65)(2) = 130 km
Distance(for bus ) = (75)(2) = 150 km
Total distance = 130 + 150 = 280 km
But the distance between car and bus is 350 km.
Thus, if the car's speed is 65 kilometers per hour if it possible that the bus speed 75 kilometers per hour it is not possible.
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a prescription calls for 50 g of a 10% ointment the pharmacist only has a 5% ointment and the pure ingredient available how much of the 5% ointment and the pure ingredient are needed to compound the prescription
25 g of 5% ointment and the pure ingredient are needed to compound the prescription.
A ratio is a comparison of two or more numbers that indicates their relative sizes. When two or more ratios are multiplied termwise, the resulting ratio is known as a compound ratio. The first quantity in the ratio is known as the antecedent, and the second quantity is known as the consequent.
For example, the compound ratio of two ratios, a:b and m:n, is am: bn.
Given,
Prescription requirement 50g for 10% ointment
but pharmacist has 5% ointment and pure ingredient
then to compound the prescription pharmacist needs x g
calculation:-
[tex]50 : 10 :: x : 5\\\\\frac{50}{10}=\frac{x}{5}\\\\5=\frac{x}{5}\\\\x=25[/tex]
Thus, required quantity of ointment and pure ingredient is 25 g.
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Rasheed has two and three-fourths cups of berries. He uses four-sixths of a cup of berries to make a milkshake. He then uses one-half of a cup of berries. After he makes his milkshake and muffins, how many cups of berries will Rasheed have left?
A. four-eighteenths cups
B. sixteen twenty-fourths cups
C. one and five twenty-fourths cups
D. one and seven-twelfths cups
For the given condition after he makes his milkshake and muffins, one and seven-twelfths cups of berries will Rasheed have left. Option D is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that, Rasheed has two and three-fourths cups of berries. He uses four-sixths of a cup of berries to make a milkshake. He then uses one-half of a cup of berries.
The number of cups of berries will Rasheed has left is found by subtracting the total used amount from the total amount,
=2 3/4-(4/6+1/2)
=11/4-(4/6+1/2)
=11/4 - 7/6
=19/12
=1 7/12
1.58
Thus, for the given condition after he makes his milkshake and muffins, one and seven-twelfths cups of berries will Rasheed have left. Option D is correct.
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Write the equation for the logarithmic function that has the following transformation from the parent logarithmic function. The function will have a base of 10. You will not have to write the 10. It is assumed.
shifted 3 units left
vertical compression by a factor of 2
reflected across the y-axis
shifted down 5 units
please help
The equation for the logarithmic function that has the following transformation from the parent logarithmic function. The other factors are mentioned in the answer below.
What is a logarithmic function?An essential tool for arithmetic calculations is the logarithmic function. John Napier, a Scottish mathematician, physicist, and astronomer, made the discovery of logarithms in the 16th century. It has a wide range of uses in complex scientific and astronomical calculations. Exponential functions and logarithmic curves are closely related, and the latter is thought of as the inverse of the former.
Parent function is y = log x
1. Shifted 3 units left,
y = log (x+3)
2. The vertical compression by a factor of 2,
y = 2 log(x+3)
3. Reflection across the y-axis,
y = 2 log(-x+3)
4. Shifting down by 5 units,
y = 2 log(-x+3)-5
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Line segment XY is located at X(2, 6) and Y(4,8). If the line segments is dilated by a scale factor of 2 with a center of dilation of T(0, 0). What are the coordinates of X’?
You can graph it below.
A. (7, 8)
B. (7, 15)
C. (-4, 14)
D. (4, 12)
The coordinates of X’ is (4,12)
What is dilation?Dilation means changing the size of an object without changing its shape.
Given that, Line segment XY is located at X(2, 6) and Y(4,8). If the line segments are dilated by a scale factor of 2 with a centre of dilation of
T(0,0).
The rule for a figure dilated by a scale factor k with a centre of dilation (a, b) is;
(x, y) → (k(x-a) + a, k(y-b) + b)
The line segment is dilated by a scale factor of 2 with a centre of dilation of T(0,0)
According to the rule,
(x, y) → (2(x-0) + 0, 2(y-0) + 0)
(x, y) → 2x + 2y
The coordinates of X' are (2, 6)
X(2, 6) → (2*2, 2*6)
X(2, 6) → (4, 12)
Hence, The coordinates of X’ is (4,12)
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6 + 12(X + 3) = 7X + 30 + 6X
Answer:
x = 12
Step-by-step explanation:
Given equation,
→ 6 + 12(x + 3) = 7x + 30 + 6x
Now the value of x will be,
→ 6 + 12(x + 3) = 7x + 30 + 6x
→ 6 + 12x + 36 = 7x + 30 + 6x
→ 12x + 42 = 13x + 30
→ 13x + 30 = 12x + 42
→ 13x - 12x = 42 - 30
→ [ x = 12 ]
Hence, the value of x is 12.
a quantity with an initial value of 5900 decays exponentially at a rate of 0.85% every 7 years. what is the value of the quantity after 99 months, to the nearest hundredth?
The value of the quantity after 99 months is 5228.58.
Given that, an initial value = 5900, rate of decay = 0.85% and time period = 7 years.
What is the exponential decay?The quantity decreases slowly after which the rate of change and the rate of growth decreases over a period of time rapidly. This decrease in growth is calculated by using the exponential decay formula.
The exponential decay formula formula is [tex]Amount=Initial\ value(1-\frac{r}{100} )^{\frac{t}{n} }[/tex]
Here, the value [tex]=5900(1-\frac{0.85}{100} )^{\frac{99}{7} }[/tex]
= 5900×[tex](0.9915)^{14.14}[/tex]
= 5900×0.8862
= 5228.58
Therefore, the value of the quantity after 99 months is 5228.58.
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Connie says an expression for the phrase "10 more
than the square of a number" is x2 + 10. Sharon says
it is 10x². Who is correct? Explain.
Answer:
Connie - [tex]x^{2} + 10[/tex]
Step-by-step explanation:
10 more means that you are adding ten to the square of x
what is X?
NOTE: Angles not necessarily drawn to scale.
Answer:
x=60
Step-by-step explanation:
180 = 100 + 20 + x
180 = 120 + x
-x = 120 - 180
-x = -60
x = 60
Answer: bro you gotta figure dis out
Step-by-step explanation:hhahahahahahahahahahaahahhaha
How do you find the greatest absolute deviation?.
The "average" of the "positive distances" of each point from the mean is the mean absolute deviation. There is more variability in the data the higher the MAD (the data is more spread out). The MAD aids in determining if the mean of the set serves as a reliable predictor of the values included therein.
Find the mean of the data set first, then use that value to calculate the mean absolute deviation of the data. Divide the total number of data values by the sum of the individual data values. By using the formula |data value - mean|, determine the absolute value of each data value's variance from the mean.
The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It offers us a sense of how variable a dataset is. The mean absolute deviation may be calculated as shown below.
Step 1: First, determine the mean.
Step 2: Determine the positive distances between each data point and the mean. Absolute deviations are those.
Step 3: Combine those deviations.
Step 4. Multiply the total by the number of data points.
The simplest approach to learn about mean absolute deviation is probably to follow these steps in the example below, however here is a more formal method to express the stages in a formula:
GAD (Greatest Absolute Deviation) = ( ∑ | [tex]x_{i}[/tex] - [tex]x_{mean}[/tex] | ) / n
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name each part below using 14(x)^13
a. base?
b.power?
c.exponent?
d.coefficient?
In 14x¹³ , x¹³ is exponent with base x , power 13 and 14 as coefficient
Exponent is a method of expressing large numbers in terms of powers.
It means when a number is multiplied by itself many times we can express expressed it in exponent form .
The symbol used for representing the exponent is "^" .This symbol is known as carrot
Base is that number that is being multiplied.
tells how many times that number is multiplied.
In the given question,
14x¹³
Base = x
because x is multiplied 13 times
so, Power = 13
Exponent = x¹³
Coefficient = 14
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Select all the values of x that make the equation |3x + 4| − 9 = 0 true.
A. 1 2/3
B. −1 2/3
C. 4 1/3
D. −4 1/3
E. 5 2/3
F. −5 2/3
Answer:
A and D
Step-by-step explanation:
|3x + 4| − 9 = 0
|3x + 4| = 9
3x+4 = 9 v 3x+4 = -9
3x=5 v 3x=-13
x=⁵/₃ v x=-¹³/₃
x=1 ²/₃ v x=-4¹/₃
suppose that for a particular family of t-distributions that t2 has 2 degrees of freedom (df) and t9 has 9 degrees of freedom. what would you anticipate happening to tdf as the df increase?
The critical t-distribution values converge to the critical z-distribution values as a particular family of t-distributions that t2 has 2 degrees of freedom (df) and t9 has 9 degrees of freedom.
What is degree of freedom?The maximum number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the total number of items in the data sample. Degrees of freedom, also known as numerical freedom of variance, are the maximum number of logically independent values that can be present in sample data. Degrees of freedom are frequently brought up when discussing various mathematical hypothesis testing techniques, like the chi-square.
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what is \left \{ {{7x-9y=-30} \atop {-3x-6y=3}} \right using substitution
Answer:
[tex]x=-2\frac{9}{23} , y=\frac{16}{23 }[/tex]
Step-by-step explanation:
7x - 9y = -30 ------ equation (1)
-3x - 6y = 3 ------ equation (2)
From equation (2),
3x + 6y = -3
x + 2y = -1
∴ x = -2y - 1 ------ equation (3)
Substitute equation (3) into equation (1):
7(-2y - 1) - 9y = -30
-14y - 14 - 9y = -30
-23y = -16
23y = 16
∴ y = [tex]\frac{16}{23}[/tex]
Substitute y = [tex]\frac{16}{23}[/tex] into equation (3):
x = -2([tex]\frac{16}{23}[/tex]) - 1
= -[tex]\frac{32}{23}[/tex] - 1
= -[tex]\frac{55}{23}[/tex] = -[tex]2\frac{9}{23}[/tex]
Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.
Answer:
7.8
Step-by-step explanation:
You want the distance between P(8, 2) and Q(3, 8).
Distance between pointsThe distance between points is given by the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((3 -8)² +(8 -2)²) = √((-5)² +6²) = √61
d ≈ 7.8
The distance between points P and Q is about 7.8 units.
__
Additional comment
You will notice that the desired distance is the length of the hypotenuse of a right triangle with legs that are 5 and 6. The Pythagorean theorem tells you that length is √(5² +6²) = √61, as above. The distance formula is based on the Pythagorean theorem.
You can find the relevant triangle leg lengths by counting grid squares on the graph. Of course, the distance formula does the same thing by subtracting coordinate values.
The points (-1 14) and (2 r) lie on a line with slope -2. Find the missing coordinate r.
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{14})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{r}) \hspace{5em} \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{14}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{-2} \\\\\\ \cfrac{r-14}{2+1}=-2\implies \cfrac{r-14}{3}=-2\implies r-14=-6\implies r=8[/tex]
292500 to the nearest 1000
Answer:
293,000.
Step-by-step explanation:
Just round to the nearest thousandth, and add 500 since you originally had 292,500.
Answer:
Step-by-step explanation:
292500 to the nearest 1000 is 293000.
Calculate 70/cos 20° round to 1 decimal place.
The answer of this 70/cos 20° round to 1 decimal place is 74.5
To solve the equation 70/cos 20° , firstly we need to find out the value of the cos 20°.
From the simple calculator we can find the value of cos 20° which is 0.9397.
Now we use this value to solve the above equation.
70/cos 20°;
70/0.9397;
74.491.
written that we have to round of the value to first decimal place, so the answer will become 74.5
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4√42+6√75 simplified
Mrs. Ryder estimates that 18 people will attend an open house. A total of 30 people actually attend the open house. What is the percent error of Mrs. Ryder’s estimate?
PLEASE HELP!!
e) (3x + 2x)(3x + 4xy + 2)
Answer:
20xy^2 + 15x^2 + 10x
Step-by-step explanation:
