The amount of apple juice needed in a 64 fluid ounce bottle of cranapple juice is 40.8 fluid ounce.
The beverage company makes 100% cranapple juice which is made up of 3 1/4 cranberry juice to 5 3/4 apple juice. Converting to decimal, it is made up of 3.25 cranberry juice to 5.75 apple juice. The ratio of cranberry juice to apple juice in the cranapple juice would be
=3.25/5.75
=> Total ratio = 3.25 + 5.75 = 9
The amount of apple juice needed in a 64 fluid ounce cranapple juice would be
5.75/9 × 64 = 40.8 fluid ounce
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The monthly minutes on your cell phone can add
up to no more than 700 minutes. You have used
648 minutes. Write an inequality that represents
how many more minutes m you can use during the
rest of the month.
The knowledge of how many more minutes m you can use during the rest of the month is given by the linear inequality 648 + m ≤700, where 'm' is the minutes on the cell phone or simply m ≤ 52
It is given that the monthly minutes on your cell phone can add up to no more than 700 minutes so the highest limit is 700
And You have already used 648 minutes so this is our base for the formation of linear inequality
We are provided to use 'm' for rest of the minutes on the cell phone
Hence, we can form a linear inequality using the three points as the sum of already used minutes and the maximum minutes that can be used in this month is at most 700 minutes is given by 648 + m ≤700
This can also be simplified as
m ≤ 700 - 648
m≤52
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Solve for d.
19d -16d-d-d-1 = 12
Answer:
d = 13
Step-by-step explanation:
19d - 16d - d - d - 1 = 12
19d + (-16 - 1d - 1d) - 1 = 12
19d + (--18d) - 1 = 12
19d - 18d - 1 = 12
1d = 12 + 1
d = 13
Check:
19*13 - 16*13 - 13 - 13 - 1 = 12
247 - 208 - 26 - 1 = 12
39 - 27 = 12
23.7-8.3+4.14=============
ANSWER:
19.54
Step-by-step explanation:
23.7-8.3
=15.4
15.4+4.14
=18.54
Please help ASAP and explain the way to get the answer!
Answer:
860.9 m³
Step-by-step explanation:
We can obtain the volume of the composite figure by subtracting the volume of cylinder from the volume of cuboid.
Cuboid or rectangular prism:l = 10 m
w = 10 m
h = 12 m
[tex]\sf \boxed{\text{ \bf Volume of cuboid = l *w * h}}[/tex]
= 10 * 10 * 12
= 1200 m³
Cylinder:r = 3 m
h = height of the cuboid = 12 m
[tex]\sf \boxed{\text{\bf Volume of cylinder = $\pi r^2h$}}[/tex]
= 3.14 * 3 * 3 * 12
= 339.1 m³
Volume of composite figure = 1200 - 339.1
= 860.9 m³
Help me please please
kx² 12x +9=0 find the value of K given that each equation has equal roots
Answer:
value of k is 3 to make it perfectly
graph the solution to the following inequality: 38 - k < 5 - 2k
Answer:
k <−33
Step-by-step explanation:
Please help me with this problem! DUE TONIGHT!
Answer:
b=v
Step-by-step explanation:
Answer:
I got b=v so it would be 0
Step-by-step explanation:
I'm sorry if I'm wrong
The difference of a number x and 5 is 6
fewer than twice the number x. (hint:
what type of phrase does "fewer than" or
"less than" mean?)
WILL GIVE BRAINLIEST! NEED HELP!!!
Answer: x=1
Step-by-step explanation:
x-5=2x-6
x-5+6=2x-6+6
x+1=2x
x-x+1=2x-x
2x-x=1
x=1
Answer: x = 1
Step-by-step explanation:
fewer or less than means minus -
difference of x and 5 = x - 5
6 fewer = - 6
twice the number of x = 2x
x - 5 = 2x - 6
x = 2x - 6 + 5
x -2x = - 6 + 5
- x = - 1
x = 1
checking
1 - 5 = 2(1) - 6
4 = 2 - 6
4 = 4
How is the Additive Identity Property similar to the Multiplicative Identity Property? How is it different?
How is the Additive Identity Property similar to the Multiplicative Identity Property?
A number's original value is returned when additive identity is applied to it. The original number is returned when multiplicative identity is multiplied by any number, too.All real numbers have both of these characteristics.How is it different?
Additive Identity is used in addition operation and multiplicative identity is used in multiplication operation.Additive Identity is denoted by a + 0 = a but multiplicative identity is denoted by a x 1 = a.The additive identity for any real number is 0 and multiplicative identity for any real number is 1.To learn more about additive identity property, refer:
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If you draw four cards at random from a standard deck of 52 cards, what is the probability that all 4 cards have distinct characters (letters or numbers)? report answer to 3 decimal places.
Using it's concept, there is a 0.726 = 72.6% probability that all 4 cards have distinct characters (letters or numbers).
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
A standard deck is given by 4 suits of 13 cards, each with either a number from 1 to 10 or one letter from A, Q or K, hence:
For the first card, all can be selected.For the second card, 48 out of the remaining 51 cards will be available, removing the three cards with the same letter or number as the first.For the third card, 45 out of the remaining 50 cards will be available, removing the six cards whose letters or numbers have already been chosen.For the fourth card, 42 out of the remaining 49 cards will be available, removing the nine cards whose letters or numbers have already been chosen.Hence the probability is given by:
p = 48/51 x 45/50 x 42/49 = 0.726.
0.726 = 72.6% probability that all 4 cards have distinct characters (letters or numbers).
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Write in point-slope form an equation of the line through each pair of points. (-4,10) and (-6,15)
The equation of the line in point-slope form, which passes through the pair of points located at (-4 , 10) and (-6 , 15), is y - 10 = -5/2(x + 4).
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Getting the slope of the two points: (-4 , 10) and (-6 , 15).
m = (y2 - y1)/(x2 - x1)
m = (15 - 10)/(-6 - -4)
m = 5/-2
m = -5/2
Using the point slope form, plug in the values of the slope and one point to set up the equation.
(y - y1) = m(x - x1)
where m = -5/2 and (x1 , y1) = (-4 , 10)
(y - 10) = -5/2(x - -4)
y - 10 = -5/2(x + 4)
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What is the value of x ?
10 /x(x-2) + 4 / x=5 / x-2
Answer:
ue7e7373777 is is and 88877376363778
p=a+b solve for letter b
The value of b is b=p-a.
Given the equation is p=a+b.
A pair of inverse operations is defined as two operations to be performed on a number or. variable, always returns the original number or variable And inverse means opposite.
equation means a mathematical statement with the symbol "equal" between two expressions of equal value. This is represented by '='.
The given equation is p=a+b.
Now, we will apply the inverse operations on both sides.
Subtract a from both sides, we get
p-a=a+b-a
Now, we will simplify the above equation, we get
p-a=b
Hence, the value of b from the given equation p=a+b is b=p-a.
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A scientist was in a submarine below sea level studying oceam life. Over the next ten minutes, she ascended 61.9 feet. How many feet had she been below sea level, if she was 21.6 feet below sea level after she ascended?
You can add the distance she travelled upwards to her new distance to get her old distance.
Essentially, 21.6 + 61.9 = 83.5.
This means she was 83.5 feet below sea level, before ascending 61.9 feet to 21.6 feet below sea level.
Answer: she was 83.5 feet below sea level, before ascending 61.9 feet to 21.6 feet below sea level.
Step-by-step explanation:
Find the value of A if the 4-digit number 3A5A is divisible by 15.
The value of A in the 4-digit number is 5.
What is the value of A?Given the information provided in the question, the 4-digit number is a multiple of 15. A multiple of a number is the product of an integer and that number.
The multiple of a number is divisible by that number. For example, a multiple of 2 is 20. This is because 2 multiplied by 10 is equal to 20 and 20 is divisible by 2 to yield a value of 10.
The multiplies of 15 either have a unit value of 5 or 0.
If A is 5, the number becomes 3555.
3555 / 15 = 237
If A is 0, the number becomes 3050
3050 / 15 = 203.333
Thus, the value of A is 5 because 3555 is divisible by 15.
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Write a recursive formula for each sequence. 1,3,6,10, . . . . . . .
The recursive formula for the given sequence is a(n) = 2 a(n-1) - a(n-2) + 1
A recursive formula is an equation that express the nth term as a function of preceding term(s), i.e. as function of (n-1)th term, (n-2)th terms, and so on. Mathematically it can be written as:
a(n) = f(a(n-1), a(n-2), ..., a(1))
The given sequence: 1,3,6,10, . . .
Here a(1) = 1. Notice that:
a(2) = 3 = 1 + 2
a(3) = 6 = 3 + 3
a(4) = 10 = 6 + 4
Notice that the differences between terms increase by 1.
Further, we can write:
a(2) = 3 = 1 + (1 - 0) + 1
= a(1) + a(1) + 1
= 2a(1) + 1
a(3) = 6 = 3 + (3 -1) + 1
= a(2) + a(2) - a(1) + 1
= 2a(2) - a(1) + 1
a(4) = 10 = 6 + (6 - 3) + 1
= a(3) + a(3) - a(2) + 1
= 2 a(3) - a(2) + 1
We can continue this recursive pattern to find a(n),
a(n) = 2 a(n-1) - a(n-2) + 1
We can find next term for n = 5:
a(5) = 2a(4) - a(3) + 1
= 2. 10 - 6 + 1 = 15
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(-6)(-8) what is the answer
Answer:
48
Step-by-step explanation:
Order the numbers from least to greatest. Put the lowest number on the left. 6.826 6.628 6.286
The ordering of the number is 6.286 , 6.628 , 6.826
According to the question we have been given three numbers which are
6.826 , 6.628 and 6.286
We need to arrange in ascending order that is from least number to the greatest number.
when we arrange number in ascending order for decimal number we first look at the number before the decimal point then if they are all same then we look at the number after the decimal point. After the decimal point the first number is compared which is closest to the decimal point.
If we look into this question the number before decimal points are all same thus we will look the numbers after the decimal point. Therefore we will arrange according to the first number after the decimal that is 8 , 6 and 2
Hence the ordering the number we get:
6.286 , 6.628 , 6.826
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You had 150 , but you are spending 2 each day. What algebraic expression models this situation?
If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x
Given,
The total amount you had = $150
The amount you spend in each day = $2
Consider the number of days = x
Then the algebraic expression for this situation is 150-2x
Hence, If you had $150, but you are spending $2 each day, then the algebraic expression model of this situation is 150-2x
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Ayudenme a hacer mi tarea es para hoy
Answer:
Pon tu tarea aquí para que podamos ayudarte con ella :)
find the perimeter of the new similar triangle to the triangle below with a ratio of 3:5, old to new triangle
Answer:
perimeter: 14.5
Step-by-step explanation:
MODELING REAL LIFE The parabola models the
height y (in feet) of a
snowboarder x seconds
after leaving a jump. Let
the x-axis represent the
base of the jump.
(See Example 4.)
Height (feet)
Height of
Snowboarder
y
20
10
0
(0.75, 18)
a. Write a function f
that models the
height of the
snowboarder over
time. How long is
the snowboarder in the air when he lands 7 feet
below the base of the jump?
-10
(0,9)
1
Time (seconds)
b. What is the average rate of change in the
snowboarder's height over the interval in
which the snowboarder's height is decreasing?
increasing? Compare the average rates of change.
For the given parabola, we have that:
a) The equation is: f(x) = -16(x - 0.75)² + 18.
b) The function is increasing at a rate of 12 feet per second, while the don't have the final point for the decrease, hence we cannot compute the average rate of change.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
For this problem, the vertex is at (0.75,18), hence:
h = 0.75, k = 18.
f(x) = a(x - 0.75)² + 18.
When x = 0, y = 9, hence:
9 = 0.5625a + 18
a = -9/0.5625
a = -16.
Hence:
f(x) = -16(x - 0.75)² + 18.
What is the average rate of change of a function?The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
It is increasing between x = 0 and x = 0.75, in which f(0) = 9, f(0.75) = 18, hence:
r = 9/0.75 = 12.
The function is increasing at a rate of 12 feet per second, while the don't have the final point for the decrease, hence we cannot compute the average rate of change.
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Identify the pattern and find the next three terms.
1,3,5,7, .......
On olga's 16th birthday, her uncle invested $2,000 in an account that was locked into a 1.75% interest rate, compounded monthly. how much will olga have in the account when she turns 18? round to the nearest cent. the answer is not $2,071.19 the formula is b=p(1+r/n)^nt b = ending balance p = original balance r = interest rate expressed as a decimal n = number of times interest is compounded annually t = time in number of year
When Olga turns 18, she will have $3032.89 in her account, which earned a monthly compound interest rate of 1.75%.
Compound interest refers to the amount of interest added on the principal amount plus interest. The formula of monthly compound interest is:
B = P(1 + r)^t
where B is the ending balance, P is the principal amount or original balance, r is the monthly interest rate in decimal form, and t is the number of months.
If Olga's uncle invested $2,000 in an account that was locked into a 1.75% interest rate, compounded monthly, using the formula, solve for the ending balance after 2 years.
B = P(1 + r)^t
B = 2000(1+ 0.0175)^24
B = $3032.89
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PLEASE HELP!!! WILL GIVE 100 POINTS AND BRAINLIEST!!!
Answer/Step-by-step explanation:
2.
5x + 3y = 15
3y = -5x + 15
÷3 ÷3 ÷3
y = (-5/3)x + 5
* = coordinate: (0, 5), (3, 0)
5 *
4 -
3 -
2 -
1 -
-------------------0----|----|----*----|---|------
-1 - 1 2 3 4 5
-2 -
-3 -
-4 -
-5 -
4.
10x + 8y = -40
8y = -10x - 40
÷8 ÷8 ÷8
y = (-5/4)x - 5
* coordinate: (0, -5), (4, -10)
5 -
4 -
3 -
2 -
1 -
-------------------0----|----|----|----|---|------
-1 - 1 2 3 4 5
-2 -
-3 -
-4 -
-5 *
-6 -
-7 -
-8 -
-9 -
-10 - *
6.
-3x + 6y = 12
6y = 3x + 12
÷6 ÷6 ÷6
y = (1/2)x + 2
* coordinate: (0, 2), (2, 3)
5 -
4 -
3 - *
2 *
1 -
-------------------0----|----|----|----|---|------
-1 - 1 2 3 4 5
-2 -
-3 -
-4 -
-5 -
8. x - y = 5
-y = -x + 5
÷-1 ÷-1 ÷-1
y = x - 5
* coordinate: (0, -5), (1, -4)
5 -
4 -
3 -
2 -
1 -
-------------------0----|----|----|----|---|------
-1 - 1 2 3 4 5
-2 -
-3 -
-4 - *
-5 *
I hope this helps!
Example 1 Position and label each triangle on the coordinate plane.right ΔA B C with legs AC and AB so that AC is 2 a units long and leg AB is 2 b units long
The right-angle triangle on the coordinate plane will be drawn. Then the third length of the right triangle will be 2√(a² - b²) units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The right triangle ΔABC with legs AC and AB so that AC is 2a units long and leg AB is 2b units long.
We know that the angle ABC is a right angle which means 90°.
Then the third length of the right triangle will be
H² = P² + B²
(2a)² = (2b)² + B²
B² = 4a² - 4b²
B² = 4(a - b²)
B = 2√(a² - b²)
The right-angle triangle on the coordinate plane will be drawn.
The diagram is attached below.
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Find the slope of the line from the pair of points. (-2,0) (-4, -3)
A. 3/2
B. 2/3
C. -3/2
D. 2
Which two decimal numbers are greater than 5.06 and less than 5.13 ?
5.18
5.0
5.21
5.09
5.1
The two decimal numbers that are greater than 5.06 and less than 5.13 are 5.09 and 5.1.
How to illustrate the information?It should be noted that decimals simply means.the numbers that aren't whole numbers.
It should be noted that this is a straight forward question.
Here, the two decimal numbers that are greater than 5.06 and less than 5.13 are 5.09 and 5.1.
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In a company, 70% of the workers are men. If 990 people work for the company who aren't men, how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
Answer:
Step-by-step explanation:
990 x 70% = 693 people
