- The equilateral triangle and the rectangle have equal perimeters, measured in feet.
a. Find the value of x.

Answer:

8 years old

Step-by-step explanation:

Set Amy's age as x.

Kevin's age will be 2x, since he is two times as old as Amy.

Father's age will be 5x, since he is five times as old as Amy.

x + 2x + 5x = Sum of the ages = 64

x + 2x + 5x = 64

Combine like terms: 8x = 64.

Divide 8 on both sides: x = 8.

Amy's age = 8.

Hope this helps!

Answer:

13.9 sorry if I'm wrong just trying to help.

Step-by-step explanation:

first plug in your numbers

a*2+ b*2= c*2

12*12= 144

7*7=49

144+49= 193

square root of 193: 13.89244399

rounded to nearest tenth is 13.9

We have 5 ft 9 in = 69 in, so

P(X > 69) = P((X - 64.1)/2.5 > (69 - 64.1)/2.5) = P(Z > 1.96)

where X and Z both represent women's heights, but Z is normally distributed with mean 0 and s.d. 1.

Then consulting a table of z-scores, you'll find that P(Z > 1.96) ≈ 0.025. So approximately 2.5% of women are taker than 5'9''.

Answer:

Step-by-step explanation:

Answer:

AD is not parallel to BC -- they are going opposite directions

AD does not equal DC -- there is nothing saying that they are congruent in length

YX is not parallel to ZW -- they are going opposite directions

1220 - 100 = 1120

1120 + 50 = 1170

Answer: 1170

Answer:

1170

Step-by-step explanation:

HI hope you have a wonderful day.

Answer:

1428- one is in the thousandth place

the number beside is lower than five so drop it and add zero to the end

1000 -is now your answer

Step-by-step explanation:

hope this helps if not then sorry goodluck and bye

The number 1428 to the nearest thousand is 1000.

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Here, the question said the nearest thousand, so I had to look at the value in the hundred places which is 4 and less than 5.

Hence round the number down.

So,  1428 to the nearest thousand is 1000.

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Perimeter = 2 (l + b)

2x² + 4x - 4y = 2 {(2x - 3y) + b}

2x² + 4x - 4y = (4x - 6y) + 2b

2x² + 4x - 4y - (4x - 6y) = 2b

2x² + 4x - 4y - 4x + 6y = 2b

2x² + 2y = 2b

(2x² + 2y)/2 = b

x² + y = b

Breadth = x² + y

Answer: 8

Step-by-step explanation: Found the ratio of 6/12, which is 1/2, so I used ?/16, plugged it in.

Step-by-step explanation:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The median is the middle value when a data set is ordered from least to greatest.

If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

so, the mean value is

(10+10+18+18+10+5+12+13)/8 = 96/8 = 12

the median is first not clear when ordering the data set, as we have an even number of elements.

5 10 10 10 12 13 18 18

so, we have to take the mean or average between the 2 middle numbers : 10 and 12.

(10+12)/2 = 22/2 = 11

the median is 11.

The slope of the given scenario will be 4.

The y - intercept of the given scenario will be 15.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The cost for the group is $15 for shoe rentals plus $4.00 per game.​

Now,

Let number of games = x

And, Total cost of the bowling's = y

Here, The cost for the group is $15 for shoe rentals plus $4.00 per game.​

So, We can formulate;

⇒ y = $4.00x + $15

⇒ y = 4x + 15

Compare with the standard form of equation of line y = mx + c, we get;

⇒ Slope = 4

And, The y - intercept = 15

Thus, The slope of the given scenario will be 4.

The y - intercept of the given scenario will be 15.

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Answer:

Step-by-step explanation:

[tex]45.60 \times 15\% \\ 45.60 \times \frac{15}{100} \\ \frac{684}{100} \\ 6.84[/tex]

Answer:

x=-12

Step-by-step explanation:

5x/5=1x = -60/5=-12

x=-12

Answer:

-12

Step-by-step explanation:

5x=-60

Divide both sides by 5 to isolate

X=-12

Answer:

-20

Step-by-step explanation:

48 divided by -3 is -16 but you round up since its high enough and it goes to -20

Answer:

profit : $28

profit percentage: 14%

Step-by-step explanation:

his profit :    $1.14 times 200kg = $228

228 -200 = 28

28 divided by 200 = 0.14

0.14 times 10 = 14 %

Answer:

27

Step-by-step explanation:

75 % of 36 is 27. The place kicker expects he that will make 27 field goals. 36 − 27 = 9 The place kicker expects that he will miss 9 field goals.

Answer:

slope = -8/5

Step-by-step explanation:

m= y2-y1/x2-x1

m=(4-(-4))/(-1-4)

m= 8/-5

Answer:

-8/5

Step-by-step explanation:

Step-by-step explanation:

the point being that a quadratic equation has 2 x-intercepts (or solutions of x for y = 0).

the advantage of this nice form the equation is written in is, that we see immediately both conditions, when y can be 0 : one of the bracket expressions must be 0.

so, the point (1, 0) covers (x-1).

we get the solution for (x-n), when we consider that such a quadratic function is simply a parabola and is symmetric around its vertex point.

the x value of the vertex (-2) tells us, that it is 3 units on the left side of the (1, 0) x-intercept point.

due to the symmetry of the curve the second x-intercept point must be even further to the left with additional 3 units distance in x direction.

so, -2 - 3 = -5

and A is the correct answer option.

Answer:

48m

Step-by-step explanation:

12m - 4m = 8m / 2 = 4

12m + 4m + 4m + 4m + 4m + 8m + 8m + 4m = 48

Answer:

70cm

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

y=(3 x 4)-1

y=12-1

y=11

Answer:

y = 11

Step-by-step explanation:

Substitute the value for x.

[tex]y=3x-1\\y=3(4)-1\\y=12-1\\y=11[/tex]

Answer:

k=-1

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Given:

1/4

Price at 65

Solution:

Let x be the original price

Based on the given conditions, formulate: [tex]x[/tex] ×[tex](1+\frac{1}{4} )=65[/tex]

Apply Multiplicative Distribution Law: [tex]x+\frac{x}{4} =65[/tex]

Multiply both sides of the equation by the common denominator: [tex]x[/tex]×[tex]4+\frac{x X4}{4} =65 X 4[/tex]

Reduce the fraction: x×4+x=65×4

Multiply the monomials: 4x+x=65×4

Combine like terms: 5x= 65×4

Calculate the product or quotient: 5x= 260

Divide both sides of the equation by the coefficient of variable: x = [tex]\frac{260}{5}[/tex]

Calculate the product or quotient: x = 52

get the result: x = 52

Answer: x = 52

Answer:

6x-40=3

Step-by-step explanation:

3/4 x -5 =3/8

Multiply each side by 8 to get rid of the fractions.

8(3/4x -5 ) =8*3/8

Distribute

6x-40=3

_________

[tex] \: [/tex]

[tex] \frac{3}{4} x - 5 = \frac{3}{8} [/tex]

[tex] \frac{3}{4} x = \frac{3}{8} + 5[/tex]

[tex] \frac{3}{4} x = 5 \frac{3}{8} [/tex]

[tex] \frac{3}{4} x = \frac{43}{8} [/tex]

[tex]x = \frac{43}{8} \times \frac{4}{3} [/tex]

[tex]x = \frac{172}{24} [/tex]

[tex]x = \bold{7 \frac{1}{6}} [/tex]

Answer:

y=5

Step-by-step explanation:

the way you do this is by adding 2 and 3 because two negatives make a positive.

Step-by-step explanation:

7x(x - 2y)

= 7x.(x - 2y)

= 7x² - 14xy

= (2 + 1)(+5)

= (3)(5)

= 3 × 5

= 15

Step-by-step explanation:

1) 7x(x - 2y)

= (7x . x) - (7x . 2y)

= 7x² - 14xy

2) (2 + 1)(+5)

= 3(+5)

= (3 . +5)

= (3 . 5)

= 15

Answer:

5[tex]\sqrt{7}[/tex]

Step-by-step explanation:

This is similar to collecting like term in algebra

2[tex]\sqrt{7}[/tex] + 3[tex]\sqrt{7}[/tex]

= (2 + 3)[tex]\sqrt{7}[/tex]

= 5[tex]\sqrt{7}[/tex]

Answer:

5/6 (decimal form: 0.83)

Step-by-step explanation:

Answer: 0.8333… (numbers keep going)

Step-by-step explanation: