Help!?!?!?!??!!!!!!!!!!!!!!

Answer:

Number of ounces of 28% alcohol = x = 34 ounces

Number of ounces of 40% alcohol = y = 17 ounces

Step-by-step explanation:

Let us represent the

Number of ounces of 28% alcohol = x

Number of ounces of 40% alcohol = y

Our system of equations =

x + y = 51 ..... Equation 1

x = 51 - y

28% × x + 40% × y = 32% × 51

0.28x + 0.4y = 16.32......Equation 2

We substitute 51 - y for x

0.28(51 - y) + 0.4y = 16.32

14.28 - 0.28y + 0.4y = 16.32

- 0.28y + 0.4y = 16.32 - 14.28

0.12y = 2.04

y = 2.04/0.12

y = 17

Solving for x

x = 51 - y

x = 51 - 17

x = 34

Therefore,

Number of ounces of 28% alcohol = x = 34 ounces

Number of ounces of 40% alcohol = y = 17 ounces

Answer:

7/2

Step-by-step explanation:

7x – 2y = 10

using ( y = mx + b) as our guideline

where m is the slope

7x – 2y = 10

subtract 7x from both sides

7x – 7x – 2y = 10 – 7x

–2y = 10x – 7x

when arranged in slope form

–2y = –7x + 10

divide both sides by (–2) to get y

[tex] \frac{ \\ - 2y}{ - 2} = \frac{ - 7x}{ - 2} + \frac{10}{ - 2} [/tex]

[tex]y = \frac{ \\ 7y}{2} - 5[/tex]

[tex]the \: slope \: will \: be \: \frac{ \\ 7}{2} [/tex]

This is our answer.

i hope i

The first one is 200 cause 360-160=200 cause it is the arc

Answer:

64/81 or, 0.790123456 repeating

Step-by-step explanation:

use the properties of exponents to get 8^2/9^2 and then evaluate to get the answer.

Answer:

55

Step-by-step explanation:

Here ^^

--------------

A≈78.54

to be exact it would be 25

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bye have a good morning/afternoon/evening!! <3

- berry

Step-by-step explanation:

the area of a circle with the diameter of 10 is 78.5

Answer:

$6386.1140

Step-by-step explanation:

Using the compound interest formula :

A = P(1 + r/n) ^nt

P 5500 ; rate, r = 10% = 0.10 ; t = 18 months = 18/12 = 1.5 years,

Compounding times per period = 12 (monthly)

A = 5500(1 + 0.1/12)^12*1.5

A = 5500(1 + 0.0083333)^18

A = 5500(1.0083333)^18

A = 5500 * 1.1611116

A = 6386.1140

Hence, amount to be repaid = $6386.1140

Answer:

i think its 7.5

Step-by-step explanation:

Answer:

thanks

Step-by-step explanation:

Answer:

Thank you so much! Have a great day! :)

Step-by-step explanation:

The length of the ramp is 161.62 inches when the barrel turns 47 times in being rolled up the ramp.

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

C = πd

where 'd' is the diameter of the circle

The circumference of the circular base of the barrel is given by the formula C = πd, where C is the circumference and d is the diameter of the base.

In this case, d = 1.1 inches, so C = π1.1 inches = 3.46 inches.

Since the barrel turns 47 times, the distance it travels is 47 times the circumference of the base,

47 × 3.46 inches = 161.62 inches

Therefore, the length of the ramp is 161.62 inches.

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Answer:

volume of the crate =40%

Step-by-step explanation:

volume of the crate =

using formula

L×B×H× dat_3

40 ×3=120

divide it by 3 month.therfore the volume°40

Answer:

b

Step-by-step explanation:

There is not a strong relationship between the points making the number 0.5 and it is going down so it is negative

Answer:

−0.5

Step-by-step explanation:

Answer:

B is the correct answer

Step-by-step explanation:

AND NO CHEATING v-v

,’l

One side of the square has a length of 10 cm.

The triangle $ABC$ is a right triangle and it has one leg of length 6 cm and one leg of length 8 cm. Using the Pythagorean theorem, we can find the length of the hypotenuse:

c^2 = a^2 + b^2

c = √(a^2 + b^2)

c = √(6^2 + 8^2)

c = √(36 + 64)

c = √(100)

c = 10

So the hypotenuse of triangle $ABC$ has a length of 10 cm.

The square has one side on the hypotenuse of the triangle $ABC$ and a vertex on each of the two legs of the triangle $ABC$. Since the square is on the hypotenuse of the triangle, one side of the square has the same length as the hypotenuse of the triangle, which is 10 cm.

Therefore, one side of the square has a length of 10 cm.

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answer:

900 calories

step-by-step explanation:

there are 60 calories in 12 crackers or 5 calories per crackers

60/12 = 5

there are 75 calories in 15 crackers or 5 calories per crackers

75/15 = 5

if there are 180 crackers

180 • 5

900 calories total

Answer:

The length of AB is 4 and the length of DE is also 4. Yes, the circles are congruent.

Answer:

A. 9.85 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]A=\frac12\cdot6\,m\cdot9\,m=3\,m\cdot9\,m = 27\ m^2[/tex]

Answer: 48

Step-by-step explanation:

Given

Trapezoid DEFG is dilated by a scale factor of  [tex]\frac{2}{3}[/tex]

[tex]E'F'=32[/tex]

Suppose the length of EF is [tex]x[/tex]

Multiply the side length of DEFG by [tex]\frac{2}{3}[/tex] to form E'F'

[tex]\Rightarrow E'F'=x\times \dfrac{2}{3}\\\\\Rightarrow 32=x\times \dfrac{2}{3}\\\\\Rightarrow x=16\times 3\\\Rightarrow x=48[/tex]

[tex]\therefore EF=48[/tex]

Answer:

Step-by-step explanation:

Similar polygons.  Only side lengths change; the angles remain the same through dilation.

Answer:

19cm^(3)

Step-by-step explanation:

Answer:

V = 9π cm³

Step-by-step explanation:

We require to find the height (h) of the cylinders

The volume (V) is calculated as

V = Ah ( A is the base area and h the height ), then

3πh = 18π ( divide both sides by 3π )

h = [tex]\frac{18\pi }{3\pi }[/tex] = 6

Then the height of the smaller cylinder = 6 - 3 = 3 cm

V = 3π × 3 = 9π cm³ ← volume of smaller can

Answer:

121/50

Step-by-step explanation:

121/150 =2.42

ANSWER:-

where is the given part

Answer:

2y^32

Step-by-step explanation:

Since 2^8 = 256, the eighth root of 256 is 2.

Next, we find the power of y by multiplying 256 and 1/8:  result is 32.

Complete answer:  2y^32

As per the given equation the total number of positive divisors that $6$ has is 38.

The divisors (or factors) of a positive integer are the integers that evenly divide it.

The formula for calculating the total number of divisor of a number ′n′ where n can be represent as powers of prime numbers is shown as.

If N= paqbrc

Then total number of divisors = (a+1)(b+1)(c+1).

If we want to find the positive divisors for an integer n, we just take the integers 1, 2, 3, . . . , n, divide n by each, and those that divide evenly make up the set of positive divisors for n.

The divisors (or factors) of a positive integer are the integers that evenly divide it

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The value of line GB is 6

From the diagram shown, we can see that AG, GB and AB form a triangle with two of its sides being equal.

Also, line AG = line GB

Where;

Then, we have;

Line AG = LIne GB

Substitute the expressions, we have;

5x - 24 = 3x - 12

Collect like terms

5x - 3x = - 12 + 24

Add or subtract like terms

2x = 12

Divide both sides by the coefficient of x

x = 12/ 2

x = 6

The, GB = 3(6) - 12 = 6

Hence, the value is 6

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Answer:

-8 , (0, -8)

Step-by-step explanation:

The y-intercept of a line is where a line intersects the y-axis, or the vertical axis.

Referring to the picture given, the y-intercept is -8 with the coordinates (0, -8)

Answer:

The vertex is (1,-9)

The y intercept is (0, -8)

Step-by-step explanation:

This is a parabola.  The vertex is the low point since the parabola is opening upwards.

The vertex is (1,-9)

The y intercept is where it crosses the y axis.  The y intercept is (0, -8)

Answer:

1) 1.4

2) 1.53

3) 9.48

4) 12.13

5) 19.82

6) 29.70

Step-by-step explanation:

You first must turn all mixed fractions into simple fractions.

Then, find the least common denominator for each problem.

Create fractions with the same denominator.

In your answer, divide the numerator by the denominator.