Find x in the right triangle

7 / 4/5 = 8.75 or 8 3/4

3 1/2 / 3/4 = 4 2/3

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hope it helps

Answer:

AC ≈ 67.9

Step-by-step explanation:

15² = 9 (3x + 1 + 9)

225 = 9 (3x + 10)

225 = 27x + 90

135 = 27x

x ≈ 19.29

AC = (3x + 1 + 9)

AC = 3 (19.2857...) + 1 + 9

AC = 57.857... + 1 + 9

AC =  57.857... + 10

AC ≈ 67.9

Answer:

Step-by-step explanation:

Answer:

270 calories

Step-by-step explanation:

Answer: she can make 3 cakes with 15 pounds of sugar

Step-by-step explanation: 15÷5=3

Answer:

13.5 and 2.76

Step-by-step explanation:

Answer:

x ≤ [tex]\frac{7}{17}[/tex]

Step-by-step explanation:

multipy both sides by twelve

move the variable to the left side and change the sign

collect like terms

divide both sides by -17 and flip the inequality sign

Answer:

x ≥ 1

Step-by-step explanation:

3 + 4x ≥ 7

3 - 3 + 4x ≥ 7 - 3

4x ≥ 4

4x / 4 ≥ 4 / 4

x ≥ 1

Answer: 9 4/4 or 10 whole

Step-by-step explanation:

Answer:

56 cent per ft²

Step-by-step explanation:

Wall dimension = 35 feets * 21.5 feets

Total cost of paint used = 421.40

Area of wall = Area of rectangle = Length * width

Area of wall = 35 feets * 21.5 feets

Area of wall = 752.5 ft²

Cost of paint per square feet:

Total coast of paint / Area of wall

$421.40 / 752.5 ft²

= $0.56 per ft²

= 0.56 * 100 = 56

-x/2+4<12

      -4  -4

-x/2<8

  *2  *2

-x<16

/-1 /-1

x<-16

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hope it helps

Answer:

A. 4

B. 8

Step-by-step explanation:

Answer:

m∠QRS = 52°

Step-by-step explanation:

From the given figure,

In right triangles ΔRQT and ΔRST,

QT = TS = 7.5 units [Given]

RT ≅ RT [Reflexive property]

ΔRQT ≅ ΔRST [By HL theorem of congruence]

Therefore, m(∠QRT) = m(∠SRT) = 26° [CPCTC]

m(∠QRS) = 2m(∠QRT)

               = 2×(26°)

               = 52°

Complete question :

Chris has 7/8 yards of purple ribbon and 1 1/6 yards of green ribbon. Chris has a total of 3 2/3 yards of ribbon. How many yards of Chris's ribbon are neither purple nor green.

Answer:

1.625 yards

Step-by-step explanation:

Purple ribbon = 7/8 yards

Green ribbon = 1 1/6 yards = 7/6 yards

Total ribbon = 3 2/3 yards = 11/3 yards

Ribbon that is neither purple nor green :

Total ribbon - (green + purple ribbon)

7/8 - (7/6 + 7/8)

11/3 - (28 + 21) / 24

11/3 - 49/24

= 1.625 yards

Answer:

z=6

Step-by-step explanation:

3z +4=22.3z+4-4=22-4.3z=18.3_3=18_3

Answer:

Step-by-step explanation:

Plug the given value of the diameter into the formula and solve.[2]

Example problem: You have a circle tub with a diameter of 8 feet, and you want to build a white fence that creates a 6-foot wide space around the tub. To find the circumference of the fence that has to be created, you should first find the diameter of the tub and the fence which will be 8 feet + 6 feet + 6 feet, which will account for the entire diameter of the tub and fence. The diameter is 8 + 6 + 6, or 20 feet. Now plug it into the formula, plug π into your calculator for its numerical value, and solve for the circumference:

C = πd

C = π x 20

C = 62.8 feet

Answer:

4x+1

Step-by-step explanation:

The area is 12x2 + 3x in

The length is 3x

Formula is A=L*B

12x2 + 3x=3x*B

Divide both side by 3x

12x2+3x divide by 3x=B

4x+1=B

The express for the width is 4x+1

Please mark as brainliest

Answer:

Answer:

13.5

Step-by-step explanation:

Tom made fruit punch for a party

He used the following amount of fruits

2 gallons of orange juice

= if 1 gallon is 4 quart then 2 gallon is 4×2= 8 quarts

3 pints of cranberry juice

= if 1 pint is 0.5 quart then 3 pints is 0.5×3 = 1.5 quarts

The amount of quartz he made can be calculated as follows

= 1.5 + 8 + 4

= 13.5

Hence he made 13.5 quarts of fruit punch

1=6

x=42

cross multiply

x=7

Please mark brainlist

Answer:

1)X+4=2x-17+10

X. =2x-7-4

11=X

DF=11+4

=15

2)FH~

11x+71=12x+32

12x-11x =71-32

X=39

FH=(11×39)+71+(12×39)+32

=1000

3)57+39+8x-12=180

8x+84-84=180-84

8x=96

X=12

4)11x+2=68

11x=66

X=6

5)114+X+37+X=139

2x+151. -151=139-151

X=-6

Answer:

1. x=11

2. x=39

3. x= 12

4. x=6

5. x=-6

Step-by-step explanation:

1. x+4= 10+2x-17

FG=GH

x+4=2x-7

11=x

2. 11x+71=12x+32

subtract from both sides

39=x

3. All angles of a triangle add to 180.

39+57+(8x-12)=180

96+(8x-12)=180

8x-12=84

8x=72

divide both sides by 8

x=9

4. Vertical angles are equal

68=11x+2

66=11x

divide

6=x

5. (114+x)+(37+x)=139

Add like terms

151+2x=139

subtract

2x=-12

x=-6

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{6 - 3}{0 - ( - 4)} [/tex]

[tex]m = \frac{6 - 3}{0 + 4} [/tex]

[tex]m = \frac{3}{4} [/tex]

Answer:

Volume of the prop = 706.5 in³

Step-by-step explanation:

Volume of the prop given in the picture = Volume of hemisphere + Volume of the cone

Volume of the hemisphere = [tex]\frac{2}{3}\pi r^{3}[/tex]

where 'r' = radius of the hemisphere

For r = 5 in,

Volume of the hemisphere = [tex]\frac{2}{3}(3.14)(5)^{3}[/tex]

                                             = 261.67 in³

Volume of a cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here r = radius of the circular base

h = height of the cone

For 'r' = 5 in and h  17 in.

Volume of the cone = [tex]\frac{1}{3}(3.14)(5)^2(17)[/tex]

                                  = 444.83 in³

Volume of the prop = 261.67 + 444.83

                                 = 706.5 in³

Answer: £100×104/100×104/100×104/100×104/100×104/100×104/100×104/100

=131.59

Answer:

1 day because he has 100 machines not just one

Step-by-step explanation:

Answer:

1, Because the half-life is 6 hours, the initial amount is halved every 6 hours. Due to the total of 18 hours, the starting amount will be divided by 2 (halved) three times. You will then have one-sixth of the original amount, which is 384 grams divided by six equals 48 grams.

Step-by-step explanation:

Answer:

5/5 is 1 so D is correct.

Hope this helps!

Answer:

[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]

Step-by-step explanation:

Given

[tex]Dividend = 125x^3 - 8[/tex]

[tex]Divisor = 5x - 2[/tex]

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

[tex]\frac{125x^3}{5x} =25x^2[/tex]

Write [tex]25x^2[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]25x^2[/tex]

[tex]= 125x^3 - 50x^2[/tex]

Subtract from 125x^3 - 8

i.e.

[tex]125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8[/tex]

Step 2:

Divide 50x^2 by 5x

[tex]\frac{50x^2}{5x} = 10x[/tex]

Write [tex]10x[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]10x[/tex]

[tex]= 50x^2 - 20x[/tex]

Subtract from 50x^2 - 8

i.e.

[tex]50x^2 - 8 - (50x^2 - 20x) = 20x - 8[/tex]

Step 3:

Divide 20x by 5x

[tex]\frac{20x}{5x} = 4[/tex]

Write [tex]4[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]4[/tex]

[tex]= 20x - 8[/tex]

Subtract from 20x - 8

i.e.

[tex]20x - 8 - (20x - 8) = 0[/tex]

Hence:

[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]