The perimeter of a child's rectangular sandbox is 18 feet. Part A:if the length of the sandbox is one foot longer than the width, write an equation that can find the length and width of the sandbox. Part B:using your equation from part a, find the dimensions of the Childs sandbox. Show your work

Answer:

208 calories per serving

Step-by-step explanation:

Divide 624 by 3.

Answer:

208 calories in 1 serving

Step-by-step explanation:

624 divided by 3

Answer:

M=1/6

Step-by-step explanation:

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Work Shown:

(angle HID) + (angle DIJ) = angle HIJ

(100) + (8x+11) = 21x+7

100+8x+11 = 21x+7

8x+111 = 21x+7

111-7 = 21x-8x

104 = 13x

13x = 104

x = 104/13

x = 8

Use this x value to find angle HIJ

angle HIJ = 21x+7

angle HIJ = 21*8+7

angle HIJ = 175 degrees

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Extra info:

You can also use that x value to find angle DIJ

angle DIJ = 8x+11

angle DIJ = 8*8+11

angle DIJ = 75

Then add this to angle HID to get

angle HID + angle DIJ = 100+75 = 175

This matches with angle HIJ = 175

So this confirms angle HID + angle DIJ = angle HIJ which helps confirm our answers.

Answer:

41/100 is 41/100 because it is in lowest term and it can't be expressed in lower term than 41/100

Answer:

v=8

Step-by-step explanation:

Answer:

9.00-3.29= 5.71 meters rope remaining

Answer:

5,8

Step-by-step explanation:

A point (-5,8) rotated around the origin 270 degrees counterclockwise will have coordinates (-8, -5).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

We know when we rotate a point counter-clockwise the coordinates (x, y) becomes (-y, x).

Given, A point (-5,8) around the origin 270 degrees counterclockwise.

∴ The new coordinates of the points will be (-8, -5).

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Answer:

Step-by-step explanation:

get all x terms on one side, giving you 3^x=10

Then, the simple rule is y=b^x becomes x=logb(base)y

b is 3, x is x, and y is 10

logbase3(10)=x

Answer:

1.8400

Step-by-step explanation:

Answer: x= -5

Step-by-step explanation: Plug 2 into g(x). Plug that answer into f(x).

Answer:

The Inequality n+8>11

n>3

Step-by-step explanation:

The inequality for the given phrase is n+8>11 and its solution is n∈(-∞,3).

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given phrase "A number n plus 8 is greater than 11" can be written in the form of inequality as shown below.

Now, the inequality can be solved for the value of n as shown below,

n + 8 > 11

Subtract 8 from both sides of the inequality,

n + 8 - 8 > 11 - 8

n > 3

Hence, the inequality for the given phrase is n+8>11 and its solution is n∈(-∞,3).

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Answer:

$-36

Step-by-step explanation:

-42+6

-36

Given parameters:

Fraction given to charity = [tex]\frac{1}{3}[/tex]

Fraction given to wife = [tex]\frac{2}{3}[/tex]

Unknown:

Fraction given to son and daughter =?

Solution:

Let the total property  = x

    Fraction given to charity  = [tex]\frac{1}{3} x[/tex]

    Fraction given to wife  = [tex]\frac{2}{3} x[/tex]

The remaining was given to son and daughter = F

    So;

     Total property  = fraction given to charity + fraction given to wife + fraction given to son and daughter

         x  = [tex]\frac{1}{3} x + \frac{2}{3} x + F[/tex]

            F = x - ([tex]\frac{1}{3} x + \frac{2}{3} x[/tex])

            F = 0

The son and daughter will not inherit anything

Answer:

-3

Step-by-step explanation:

The additive inverse of a number means that the sum of the number, and it's additive inverse will always be zero. The additive inverse is found by simply negating a number or making it opposite.

Therefore, 3 + x = 0, 3 - 3 + x = 0 - 3, x = -3. (x represents it's additive inverse)

Just keep in mind that finding it's additive inverse is usually the best way to do it.

Here are some ways to negate a number:

________________________________

Answer:1 by the 2

Step-by-step explanation:Good job

Answer:

Step-by-step explanation:

2x-8 ≤ 14

1. Add 8 to both sides of the inequality sign to move the 8 from the left side to the right side.

2x ≤ 22

2. Divide both sides by 2 to get the x alone.

x ≤ 11

3. Make a number line from 8 to 13 (numbers can be changed), draw a circle above the number 11 and fill in the circle.

4. Now, make a line going from the circle to the left and draw an arrow at the end.

10) These angles are vertical angles.

Whenever two lines intersect, vertical angles are always formed.

Vertical angles are always congruent so we know that b = 43°.

1) Notice that there is a box at the vertex of <EBF.

This tells us that it measures exactly 90 degrees.

Also note that <ABC is a straight angle which means its 180 degrees.

So we have x + 10 + 90 + 2x + x = 180.

First simplify the left to get 4x + 100 = 180.

Solving from here, we find that x = 20.

2) Notice that <AEC and <DEB are vertical angles.

Vertical angles are congruent so we

can setup the equation 3x + 18 = 5x + 6.

First subtract 3x from both sides to get 18 = 2x + 6.

Now subtract 6 from both sides to get 12 = 2x.

Solving from here, we have x = 6.

Answer:

$5

Step-by-step explanation:

if you want the cost of 1 pair of colored socks, substitute that into c

5(1) + 3w = 32

5 + 3w = 32

subtract on both sides

3w = 27

this means the amount of pairs of white socks is 9.

multiply by 3

$27

then subtract by 32

$5

he only bought 1 pair of colored socks for $5

Answer:

The distance would be 6.7 or 3✓5

Step-by-step explanation:

Im sure there's a faster way to find this, but I'm in 8th grade sooo yeah.

First things first we can use the equation

d=✓(X2-X1)*2+(Y2-Y1)*2

X2= 8

X1= 5

Y2= 13

Y1= 7

From here, you plug in the values and do as followed. You subtract the values to get the answer. For example 8-5 would get us (3)*2.

From here you square the 3 to get 9. You also do the same to the right side of the equation.

Now you have d=✓(3)*2 + (6)*2

From here you square it and you get d=✓9+36

Now we have: d✓45

Now we square the 45 to get 6.7082..., but we round the answer to get 6.7!

Hope this helps! If you have any questions please feel free to ask, as I understand the struggle of math! :)

Answer:

the distance would be 6.7

Step-by-step explanation:

Answer:

7ab^4

Step-by-step explanation:

all of the coefficients have 7 as a GCF. for a and b you can only pull out as much as the lowest term.

that should be correct and hope this helps!

Answer:

1% of 37.25=0.3725

Answer:

its undefined

Step-by-step explanation:

Answer:

.00173913

Step-by-step explanation:

Answer:

B) ∠EFG is an interior angle of ΔEFG.

C) ∠FEZ is an exterior angle of ΔEFG.

E) ∠EGF and ∠FGY are supplementary angles.

Step-by-step explanation:

EDG 2020

Answer:

B) ∠EFG is an interior angle of ΔEFG.

C) ∠FEZ is an exterior angle of ΔEFG.

E) ∠EGF and ∠FGY are supplementary angles.

Step-by-step explanation:

person above me is correct!

Answer:

I have no clue but i have an examm sorry

Step-by-step explanation:

Answer:

504 ft

Step-by-step explanation:

Perimeter = 2(width) + 2(length)

Convert yards to feet

1yard=3feet

8yards=?

8*3/1 = 24feet

84 = 2(w) + 2(24)

84 = 2w + 42

84 - 42 = 2w

42 = 2w

w = 21

Area = 1 * w

        = 21 * 24

        = 504 ft

Answer:

90 square feet per hour

Answer:

the degree of f(x) is 3

Step-by-step explanation:

fundamental theorem of algebra

The degree of function f(x) is at least 3.

The function has n intercepts i.e. it touches the x-axis n times, then the function will have at least n roots.

And as we know if the degree of the function is n then the number of roots of the function is n.

So, if the function has n intercepts, then the function has at least n degrees.

Here given that the polynomial function f(x) has 3 intercepts.

Then from above, it is clear that the function will have at least 3 roots.

And the function will have at least 3 degrees.

Therefore If the polynomial f(x) has 3 intercepts, then The degree of function f(x) is at least 3.

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9514 1404 393

Answer:

  108 cm

Step-by-step explanation:

6 pencil-lengths will be ...

  6 × 18 cm = 108 cm

The length of the table is 108 cm.

Answer:

 108 cm

Step-by-step explanation:

6 pencil-lengths will be  

6 × 18 cm = 108 cm

The length of the table is 108 cm

Answer:

15x^2 - 9x - 42

Step-by-step explanation:

(3x+6)(5x+7)

15x^2 +21x - 30x -42

15x^2 - 9x - 42