54=6a+18b
3a-9b=-27
please add the steps

      First, we can see that this is a reduction because ΔXYZ is larger than its dilation, ΔX'Y'Z'.

But by how much? We can compare two sides such as XY and X'Y' to see.

      -> I am going to compare sides XY and X'Y' because they are fully vertical lines that we can count without needing to use a distance formula.

             -> XY is 8 units long

             -> X'Y' is 4 units long

      -> 8 / 4 is a scale factor of 2

This is a reduction with a scale factor of 2.

Answer:

[tex]\sqrt{145}[/tex]

Step-by-step explanation:

The distance formula states that the distance between two points [tex](a,b)[/tex] and [tex](c,d)[/tex] is [tex]\sqrt{(a-c)^2+(b-d)^2}[/tex].

The two points we have are [tex](4,6)[/tex] and [tex](-4,-3)[/tex]. Plugging these numbers into the distance formula, we have

[tex]\sqrt{(4-(-4))^2+(6-(-3))^2[/tex].

Simplifying with order of operations, first using the distributive property, gives

[tex]\sqrt{(4+4)^2+(6+3)^2[/tex].

Squaring and adding gives

[tex]\sqrt{(4+4)^2+(6+3)^2}=\sqrt{8^2+9^2}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{64+81}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\sqrt{145}},[/tex]

which is the answer in simplest form. This also rounds to about 12.04.

Answer:

Step-by-step explanation:

One

√15 / ∛15 = 15^(1/2 - 1/3) = 15^(1/6)

When you divide numbers that are the same base but different powers, the following rule applies

base^(numerator power - denominator power)

Two

15^(1/2 + 1/4)

15^(3/4)

When you multiply 2 numbers with the same base and different powers you raise the base by the sum of the powers.

The actual distance between Kalamazoo and Ann Arbor is approximately 62.5 miles.

The real distance is the producto of the scale factor and the in-scale distance. According to the figure, the scale factor is 50 miles per centimeters and the in-scale distance is approximately 1.25 centimeters. Then, the real distance between Kalamazoo and Ann Arbor is:

[tex]d \approx \left(50\,\frac{mi}{cm} \right)\cdot (1.25\,cm)[/tex]

[tex]d \approx 62.5\,mi[/tex]

The actual distance between Kalamazoo and Ann Arbor is approximately 62.5 miles. [tex]\blacksquare[/tex]

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The required number line that shows all of the possible

temperatures is option A.

From the given question, we have that water freezes when its temperature is no more than 32 °F

The statement no more than 32 °F shows that the temperature cannot be greater than 32 but less than or equal to 32. This is written mathematically as;

t ≤ 32.

We are to select the number line that shows all of the possible temperatures. The required number line that shows all of the possible

temperatures is option A.

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Answer:

please attach a picture so I may assist

Answer:

3 2/3

Step-by-step explanation:

First, change the mixed numbers into improper fractions:

1 2/ 3 = 5/3

Last, multiply

5/3 × 1 1 /5

11/3

or

3 2/3

Hope this helps!

mark brainliest if possible!

Answer:

C.

Step-by-step explanation:

14/3 = 4.7 which seems about right for the Y-intercept & the gradient is - 1/3.

Gradient = rise /run

= 1/3

Hope this helps!

Answer:

x + 3y = 14

Step-by-step explanation:

Points: (2, 4), (-1, 5)

y - y1 = (y2 - y1)/(x2 - x1) × (x - x1)

y - 4 = (5 - 4)/(-1 - 2) × (x - 2)

y - 4 = 1/(-3) × (x - 2)

-3y + 12 = x - 2

x + 3y = 14

Kevin earning at least $504 implies that he wants to earn $504 or more

The inequality representing the scenario is [tex]12x + 14y \ge 504[/tex]

The given parameters are:

Earnings = At least $504

Food delivering = $12 per hour

Retail = $14 per hour

Represent the number of hours delivering food with x, and the retail work with y.

So, the earning is:

Earning = 12x + 14y

The earning is at least $504.

So, we have:

[tex]12x + 14y \ge 504[/tex]

See attachment for the graph of the inequality

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Answer:

18

Step-by-step explanation:

6+3=9 so do 9 add 8 =18 is another word is inverse

Answer:

The slope is 6/5, ;)))))))

It can be deduced that the p-value is less than the level of significance.

It should be noted that the level of significance simply means the measure of the strength of the evidence that's is present in a sample before the null hypothesis is rejected.

From the complete question, the confidence interval is a given as (0.004, 0.176). In this case, the p-value is less than the level of significance and they should conclude that there's a difference between the proportions.

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Answer:

52

Step-by-step explanation 1/3 i believe it would be 1/6 of 314 which would be 52 and 1/3.

Answer:

X=20

Step-by-step explanation:

(3x+10)+(6x-10)=180

9x=180

180/9=20

X=20

Answer:

243

Step-by-step explanation:

(3^5 – 3^4) (3^3 + 3^2)

= (243 – 81) (27 + 9)

= (162) (36)

= 5832

24 = 8*3

because 832 can be divided by 8 and 5+8+3+2 = 18 is divisible by 3,

5832 is divisible by 24

Answer:

137

Step-by-step explanation:

because we know that angle z shares a line or is supplementary to the angle with 43 degrees, and a straight line is always 180 degrees, so to find the other angle, you would take 180-43=137.

Answer:

137

Step-by-step explanation:

we know that angle z shares a line with the angle with 43 degrees, and a straight line is always 180 degrees, to find the other angle, you take 180-43=137.

Answer:

35.975 lakhs simple interest earned

Answer:

Less than 5

Step-by-step explanation:

The eason behind the answer being less than 5 is because if you multiply something by a fraction that is less than a whole number, then you will get less than the original number you multiplied the fraction with.

Hope this helps :)

Answer:

You mixed 364.8 grams of 12% solution with 115.2 grams of 6% solution

Step-by-step explanation:

x = 12% grams  

480 -x = 6% grams

.08 ( x)     +    .06 ( 480-x)  =  .0752 (480)

.012x         +   30 - .06x   = 37.6

x = 364.8  gm    of 12%       115.2 gm of 6%

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Answer:

3

Step-by-step explanation:

[tex]\cfrac{1}{4}\cdot 12\implies \cfrac{1\cdot 12}{4}\implies \cfrac{12}{4}\implies \cfrac{4+4+4}{4}\implies \cfrac{4}{4}+\cfrac{4}{4}+\cfrac{4}{4}\implies 1+1+1\implies 3[/tex]

The Z-37 lies between the 2 and 3 standard deviations of the mean. Then the correct option is C.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

A supervisor finds the mean number of miles that the employees in a department live from work.

μ = 29 and σ = 3.6

Z-37

Then we have

[tex]\rm Z - 37 = \dfrac{37-29}{3.6}\\\\Z -37 = 2.22[/tex]

Then Z-37 lies between the 2 and 3 standard deviations of the mean. Then the correct option is C.

More about the normal distribution link is given below.

https://brainly.com/question/12421652

Answer:

ITS C

Step-by-step explanation:

The equations that represent an indirect variation relationship with a constant of variation equal to -4 are y = -4/x and xy = -4

An indirect variation is also known as the inverse variation

If the variable y is indirectly proportional to x , this is expressed as:

y = k/x

where

k is the variation constant

If the variation constant is -4, then;

y = -4/x

Hence the equations that represent an indirect variation relationship with a constant of variation equal to -4 are y = -4/x and xy = -4

Learn more on variation here: https://brainly.com/question/5247042

Answer:

column 1

5 × 98

33 x 12

3 x 6

100 x .1

8 x (3/4)

3×7

4×2

column 2

5(100-2)

33(10+2)

3(10-4)

100(0.06+0.04)

8(1/2+1/4)

3(3+4)

4(6-4)

column 3

5×100-5×2

33×10+33×2

3×10-3×4

100×0.04×100×0.06

8×1/2+8×1/4

3×3+3×4

4×6-4×4

column 4

500-10

330+66

30-12

4+6

4+2

9+12

24-16

value

490

396

18

10

6

21

8

the last row could also be 8x1

Answer:

The answer is 16 cm

Step-by-step explanation:

If the area was 16cm^2 before, then each side was 4 cm long since each side of a square is equal, and the area for a square is the length of the sides squared. The square root of 16 is 4, so that is why the sides were 4 cm. When you make each side 1 cm shorter, they're now all 3 cm. 3^2 is 9, so the new area is 9 square centimeters.

Answer:

22 19

Step-by-step explanation:

Step-by-step explanation:

AC = AC by reflexive

∆ABC = ∆CDA by SSS

Angle CAD = angle ACB by CPCTC

Since alt interior angles are congruent, BC //AD

Repeat the same process to show AB//CD

Answer:

x < -20

Step-by-step explanation:

1. x/5 + 6 - 6 < 2 - 6

2. x/5*5 < -4*5

3. x < -20

Since you are multiplying the equation by a positive number, you do not need to switch the inequality sign.

Work Shown:

y = expression for the missing side

perimeter = 9x - 1

side1+side2+side3 = perimeter

(2x+4) + (x-2) + (y) = 9x - 1

3x+2 +y = 9x-1

y = 9x-1-3x-2

y = 6x - 3