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Answer:

k = 21

Step-by-step explanation:

[tex]xy = k\\\\Plugging\: x = 7\: and\: y = 3,\: we\; find:\\7\times 3 = k\\21 = k\\\huge\red{\boxed{k = 21}}\\[/tex]

Answer:

56 cm

Step-by-step explanation:

The ratio of the lengths of the pieces is 3:4.

The longer piece is 32 cm.

We set up a proportion to find the length of the smaller piece.

Let the length of the smaller piece be x.

3 is to 4 as x is to 32

3/4 = x/32

4x = 3 * 32

4x = 96

x = 24

The smaller piece is 24 cm.

24 cm + 32 cm = 56 cm

Answer: 56 centimeters long.

Step-by-step explanation:

You can find the other value in a ratio by dividing the value given by its corresponding value in the ratio, then multiplying the quotient by the other value in the ratio.

32 is the longer piece, and 4 is longer than 3.

32 / 4 = 8.

8 * 3 = 24

The shorter piece is 24 centimeters long.

The total length of the coil is 24 + 32, or 56 centimeters long.

Answer:

20+20+6+6+30+30=112cm^2

Step-by-step explanation:

Answer:

112 meters squared

Step-by-step explanation:

Surface Area = 2×(3×2 + 3×10 + 2×10) = 112 meters squared

Well, if a = -1 and b = 4 then when we plug in the values of a and b into the expression we get:

[tex]13(-1)^{-3}\cdot4^{-1}[/tex].

Then simplify it:

[tex]-13\cdot1/4=-\frac{13}{4}[/tex].

The answer is A.

Hope this helps.

Step-by-step explanation:

Step 1:  Substitute -1 for a and 4 for b

[tex]13 * (-1)^-^3 * (4)^-^1[/tex]

[tex]13 * (-1) * \frac{1}{4}[/tex]

[tex]-\frac{13}{4}[/tex]

Answer:  Option A, [tex]-\frac{13}{4}[/tex]

Answer:

five years ago -- boy-   x+3 years

                           sister ---  x

ratio-- 4:3  so difference is 3 years

4-3-- 1   1--3

five years ago ---  sister  :3*3--9   brother : 4*3--12

present : sister 14 years and brother 17 years old

Step-by-step explanation:

Answer:

C = 2*3.14*10 = 62.8 cm = P of square

Area=1/16 * p2

=

246.49 cm2

Answer:

Two intersecting lines are co-planar in the same plane.

Hope this helps!

:)

Answer:

the answer is always

Step-by-step explanation:

I just took the quiz and got it right.

Answer:

3.2t-2.4

Step-by-step explanation:

-3.6 - 1.9t + 1.2 + 5.1t

Combine like terms

-3.6+ 1.2  - 1.9t +5.1t

-2.4        + 3.2t

Answer:  3.2t-2.4

Step-by-step explanation:

First thing you need to do is do   -1.9t+5.1t= 3.2t. Then you do -3.6+1.2= -1.2.

Then put all this together and you get 3.2t-1.2. (do not do 3.2t+-1.2 this incorrect because we left the subtracting sign

Answer:

− 24 x 3

This is if you multiply the expressions

Answer:

3 4/11.

Step-by-step explanation:

3/11 = 15/55

2/5 = 22/55

So a number in between  could be 20/55

= 4/11.

So the mixed number could be 3 4/11.

Answer:

D

Step-by-step explanation:

4/3 * pi * r^3 is the formula.

Answer:

51cm^2

Step-by-step explanation:

The formula for the area of a parallelogram is : [tex]base*height[/tex]

To work out the area of a parallelogram you would simply multiply the base of 8.5 by the height of 6, this gives you 51cm^2. This is because the formula for the area of a parallelogram is base multiplied by the height.

1) Multiply 8.5 by 6.

[tex]8.5*6=51cm^2[/tex]

Answer:

$0.33 per hamburger

Step-by-step explanation:

You know that the team paid $5 for 15 hamburgers, then you need to divide the cost of all the hamburgers, ($5) by the number of hamburgers. 5/15 = 0.33 repeating. This means that they paid $0.33 per hamburger.

Answer:The answer is 80

5, 10, 15, 20, 25, 30, 35,40, 45, 50, 55, 60, 65, 70, 75, 80.

Answer: -19

Step-by-step explanation: when ur adding two negatives it's gonna equal a negative

Hey!!!!

Here's your answer:

Solution:

A={2,3,4,5}

B={5,6,7,8}

A U B={2,3,4,5} U {5,6,7,8}

={2,3,4,5,6,7,8}

In case of Union,we have to list all the elements which are present in both sets.

Hope it helps...

Good luck on your assignment

Answer: 0

Step-by-step explanation: it would only be a different number if there’s an equation like y=2x 3

0000000000000000000000

Step-by-step explanation:

is it

(x+3)² - x?

I may be wrong x

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

-18y = (-1) * 3 * 3 * 2 * y

-27 = (-1) * 3 * 3 * 3

Common factors = (-1) * 3 * 3 = - 9

-18y - 27 = -9*2y - 9 * 3

             =(-9) [2y + 3]

Answer: The total price of the groceries, including discount and tips $110.4

Step-by-step explanation:

You would need to DIVIDE by 9

Answer:

x=17

Step-by-step explanation:

divide both sides of the equation by 9

Answer:

112

Step-by-step explanation:

multiply the mass value by 16

Answer:

112 ounces are in 7 pounds

Step-by-step explanation:

because there are 16 ounces in 1 pound if you multiply 16 by 7 you will get 112 oz.

Answer:

36.5625 cm^2

Step-by-step explanation:

To find volume, you multiply the three dimensions.

Answer:

36.56 cu. cm

Step-by-step explanation:

Volume = base x height x length

Answer:

Trapezoid

Step-by-step explanation:

None

Answer:

trapezoid

Step-by-step explanation:

Answer:

Step-by-step explanation:

8hz

Just solve the equation

Given:

-2(3a+1) = 5(1+a)

-6a - 2 = 5 + 5a

11 a = -7

a = -7/11

Answer:

a = -7/11

Step-by-step explanation:

Distribute -2 and 5 through the parentheses, -6a - 2 = 5 + 5a

Move the Variable and constant  to a proper side, -6a - 5a = 5 + 2

Calculate like terms, -11a = 7

Divide both sides of the equation by -11, a = -7/11

Final answer, a = -7/11

Answer:

The angle is 36.87°

Step-by-step explanation:

To find the missing angle, we will have to use inverse SOH-CAH-TOA.

Looking at the angle, as well as the two sides, we can infer that the opposite of the unknown angle is 24. Since the given side is not the hypotenuse but the adjacent, we know that we will be using inverse tangent (TOA).

[tex]tan^{1}[/tex] (x) = [tex]\frac{24}{32}[/tex]

x = [tex]tan^{-1}[/tex] ([tex]\frac{24}{32}[/tex])

x = 36.87°

Answer:

≈ 36.9

Step-by-step explanation:

You are given the opposite and adjacent side, leading you to use tan. However, since you're trying to find the angle measurement, and not the side, you use the inverse of tan: [tex]tan^-1[/tex]

Set it up like this:

[tex]tan^-1 (\frac{24}{32})=?[/tex]

When you solve, you get:

36.86

Round to the nearest tenth:

36.9

Answer:

To calculate the balance after 6 years with monthly compounding, we can use the formula for compound interest:

A = P * (1 + r/n)^(n*t)

Where:

A = the final amount (balance) after t years

P = the principal amount (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this case:

P = $1500

r = 4% = 0.04 (as a decimal)

n = 12 (compounded monthly)

t = 6 years

Plugging in the values, we get:

A = 1500 * (1 + 0.04/12)^(12*6)

Calculating the right-hand side:

A = 1500 * (1 + 0.003333)^72

A = 1500 * (1.003333)^72

A ≈ 1500 * 1.265032

A ≈ $1897.55

Therefore, the balance after 6 years with monthly compounding, rounded to the nearest cent, is approximately $1897.55.

Answer:

2x - 3y = 18  (1)

5x + 9y = -10​   (2)

<=>

Multiply both sides of (1) by 5, and multiply both sides of (2) by 2, then:

10x - 15y = 90

10x + 18y = -20

Subtract (2) to (1):

=> 33y = -110 => y = -110/33

Substitute y back into (1):

=> 2*x - 3*(-110/33) = 18

=> 2*x + 10 = 18

=> 2*x = 8

=> x = 4

=> Solution: x = 4, y = -110/33

Hope this helps!

:)

Answer: x=4 y= -10/3

Step-by-step explanation:

Look at the attachment. It should explain.