Solve for the variable. Show all work. |-3 + k| = 10

Answer:5 terms

Step-by-step explanation:

The y-intercept is [tex]y=\frac{2}{5} x-4[/tex]

Answer:

1.515 = 14* 1.56 + 18*x/(32)

0r, 18x= 1.515*32 - 14*1.56

or, 18x= 26.64

x= 1.48

Step-by-step explanation:

Answer:

mean height of girls = 1.48 m

Step-by-step explanation:

Find the sum height of 32 students.

Sum of the height of 32 students = 32 * mean of 32 students

                                                   = 32 * 1.515

                                                   = 48.48 m

Sum of the height of 14 boys = 14 * mean of 14 boys

                                           = 14 * 1.56

                                           = 21.84

Number of girls = 32 - 14 = 18

Sum of the height of 18 girls =  48.48 - 21.84 = 26.64 m

Average of the height of 18 girls = 26.64 ÷ 18

                                                      = 1.48 m

I am going to show you how easy this is. Once you understand, you will be able to do this forever.

:

Assuming the side of the rectangle are (L) length and (W) width, the perimeter:

2L + 2W = 234

:

"the rectangle is twice as long as it is wide,", the equation for this statement:

L = 2W

:

In the first equation, we can replace L with 2W, then we have

2(2W) + 2W = 234

4W + 2W = 234

6W = 234

Divide both sides by 6

W = 234%2F6

W = 39 meters is the width

:

Remember it said the length is twice the width, therefore:

L = 2(39)

L = 78 meters is the length

:

:

Check this by finding the perimeter with these values

2(78) + 2(39) =

156 + 78 = 234

Just plug -2 into x

f(-2) = 2(-2)^2 + 4(-2) + 5

Simplify the right side

f(-2) = 8 - 8 + 5

Combine like terms

f(-2) = 5

Answer:

Tommy's band won 5 awards, Ali's band won 8 awards and Jack's band won 10 awards.

Step-by-step explanation:

Let the number of awards Tommy won be x.

Number of awards Ali won -> x+3

Number of awards Jack won -> 2x

[tex]x+x+3+2x=23[/tex]

[tex]4x+3=23[/tex]

Subtract 3 from both sides:

[tex]4x+3-3=23-3[/tex]

[tex]4x=20[/tex]

Divide both sides by 4:

[tex]\frac{4x}{4}=\frac{20}{4}[/tex]

[tex]x=5[/tex] (Tommy)

[tex]5+3=8[/tex] (Ali)

[tex]5\times2=10[/tex] (Jack)

Answer: Tommy won 5 awards. Ali won 8 awards. Jack won 10 awards.

Step-by-step explanation:

First give each person a variable:

Tommy = y

Ali = a

Jack = x

Then figure out the equations:

Tommy won 3 less awards than Ali, so the equation would be (y = a - 3).

Jack won twice as many awards as Tommy, so the equation would be (x = 2y)

All three won a total of 23, so that would be (23 = y + x + a)

Next, plug in (2y) into the (x) of (23 = y + x + a)

This would result in (23 = 3y + a)

Then you would plug in (a - 3) into (y)

This would result in (23 = 4a - 9)

Solve for a: (a = 8)

Now that you know (a = 8), plug that into the first equation (y = a - 3) to find (y).

Answer: (y = 5)

Use (y = 5) and plug it into the second equation (x = 2y) to find (x)

Answer: (x = 10)

Answers:

a = 8

y = 5

x = 10

Step-by-step explanation:

Polynomial = (2x² - x + 3)(x - 2) + 4 = 2x³ - 5x² + 5x - 2. (B)

Answer:

w=15

Step-by-step explanation:

Step-by-step explanation:

4.03834

1dp) 4.0

2dp) 4.04

3dp) 4.038

24.8845

1dp) 24.9

2dp) 24.88

3dp) 24.885

0.62346

1dp) 0.6

2dp) 0.62

3dp) 0.623

2.3999

1dp) 2.4

2dp) 2.40

3dp) 2.400

1 d.p:

4.03834 = 4.0

24.8845 = 24.9

0.62346 = 0.6

2.3999 = 2.4

The 1 d.p is the first number after the decimal point and to write it as 1 d.p you need to round it off.

2 d.p:

4. 03834 = 4.04

24.8845 = 24.88

0.62346 = 0.62

2.3999 = 2.40

The 2 d.p is the second number after the decimal point.

3 d.p:

4.03834 = 4.038

24.8845 = 24.885

0.62346 = 0.623

2.3999 = 2.400

The 3 d.p is the third number after the decimal point.

Answer:

1-(-5)/7-2

5/5

1

y2=1

again

5+2

7

The slope of the line will be equal to 1.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

The slope of the line will be calculated by using the formula below:-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given points are:-

Choose (x1, y1)

X₁= 2 y₁= -5

Identify (x2, y2)

X₂= 7 y₂= 1

Apply the slope formula:-

m= ( y₂ - y₁ ) / ( x₂ - x₁ )

m= 1-(-5)/7-2.

m= ( 5 / 5 )

m = 1

Therefore, the slope of the line will be equal to 1.

To know more about slopes follow

brainly.com/question/3493733

#SPJ2

Answer:

Pongamos los datos

supongamos que la sala costo x

si la sala costo x, el comedor costo el doble, osea 2x

luego dice que la sala costo el triple de la mesa, si la sala costo x, la mesa costo x/3

ahora reemplazamos: dice que todo costo 35000

x + 2x + x/3 = 35000

3x/3 + 6x/3 + x/3 = 35000

10x/3 = 35000

10x= 105000

x = 10500

reemplazamos todos los datos

la sala costo x, entonces la sala costo 10500

el comedor costo 2x, entonces 2(10500) = 21000

la mesa costo x/3, entonces 10500/3 = 3500

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

U subtract the numbers

Answer:

22

Step-by-step explanation:

Subtract the numbers :) hope this helped

Answer:

[tex] {xy}^{2} = {6}^{2} + {3}^{2} =45 \\ xy = \sqrt{45} = 6.71[/tex]

sorry but I am not sure if this is right :(

Answer:

the first one is 1.935843 x 10^6

the second one is 4 x 10^7

subtract the two numbers in each question

convert to scientific notation:

if the number is 40,000,000 the scientific notation would be 4 x 10^7 because there are 7 spaces behind the first digit, or the 4

Step-by-step explanation:

Area of the border = Length * Breadth

If the outside measures 10in by 11in with 1-in border, the length of the picture with border = 10+(1+1) * 11+(1+1)

Area of the border = 12*13

Area of the border = 156in²

Note that the border length will be added at both edges of the frames for each length and the width of the frame

Answer:

38

Step-by-step explanation:

Answer:

y = x+5 where y is Mark's age

Step-by-step explanation:

Hi there, to answer this problem, you need to really think about what it is asking. In saying that mark is 5 years older than Juan, we know it is going to involve addition. Then, you simply need to think about the relation to Juan's age. In this case, Mark is older so you add to it. Hope this helped!

Answer:

$88

Step-by-step explanation:

-38+126=$88

Answer:

a = 11/14

Step-by-step explanation:

14a  / 14 == 11 / 14

a = 11 / 14

a = 11/14

Hope this Helped

Brainliest is appreciated.

Answer:

Happy paws

y = 20 + 4x

Woof watchers

y = 9 + 5x

x = 11 hours

Step-by-step explanation:

Let

Number of hours = x

Total cost = y

Total cost = fixed cost + variable cost

The equations are:

Happy paws

y = 20 + 4x

Woof watchers

y = 9 + 5x

solve the equation to find for how many hours the total cost of the services is equal.

Equate total cost of both services

20 + 4x = 9 + 5x

Collect like terms

20 - 9 = 5x - 4x

11 = x

x = 11 hours

Check:

Happy paws

y = 20 + 4x

= 20 + 4(11)

= 20 + 44

= 64

Woof watchers

y = 9 + 5x

= 9 + 5(11)

= 9 + 55

= 64

Answer:

-1=p

Step-by-step explanation:

8=8p+13-3p

8-13=8p-3p

-5=5p

-5÷5=5p÷5

-1=p

Answer: never true

Step-by-step explanation:

Answer:

a: given

b: multiplication property of equality

c: distributive property

d: simplified

e: addition property of equality

f. division property of equality

Step-by-step explanation:

step a will always be given because it is starting equation. step b is multiplication property because everything is multiplied by two so you don't have to deal with decimals. step c is distributive because you distribute the -5s in the parentheses. step d is simplified because they combined like terms and nothing changed sides. step e is addition property because you added 5x to both sides. step f is division property because -7 is divided from each side.

Answer:

Cardinal: twenty seven

Ordinal: twenty seventh

Step-by-step explanation:

hope this helps!!!!!!

Answer:

2.7×10

Step-by-step explanation:

Basically the number 27 has to be in between the numbers 0 and 10.

So to do that you have to divide 27 by 10 until it is between 0 and 10 which is then 2. 7,

And to get the 10 you have to count how many times you had to divide 27 by 10 to get which is 1 so you leave it as ten so the answer you get is

2.7 x 10

HOPE THIS HELPS.

if you are still stuck just let me now and I will help you :)

Answer:

x = 13

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{DC}{DU}[/tex] = [tex]\frac{CB}{UT}[/tex] , substitute values

[tex]\frac{11x-13}{60}[/tex] = [tex]\frac{169}{78}[/tex] ( cross- multiply )

78(11x - 13) = 10140 ( divide both sides by 78 )

11x - 13 = 130 ( add 13 to both sides )

11x = 143 ( divide both sides by 11 )

x = 13

Answer:

81

Step-by-step explanation:

square root of 729= 9

9×9=81

Answer:

Step-by-step explanation:

Formula of Volume= [tex]a^{3}[/tex] - a = side

Therefore since the volume is given you just need to find the side.

729=[tex]a^{3}[/tex] = [tex]\sqrt[3]{729}[/tex] = a

            = 9 = a

Now you know that 9 is the side, so using that find the area of one face-

Area of a square= 9 x 9 = 81[tex]cm^{2}[/tex]

450

Step-by-step explanation: