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4 years ago

Combine the like terms to create an equivalent expression. 7k - 3k + 11

Mathematics

1 answer:

Semenov [28]4 years ago

6 0

I believe the answer is 4k + 11

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Solve each equation

Gemiola [76]

Answer:

1. 2x=5

Divide both by 2, x=2.5

2. y+1.8=14.7

Subtract 1.8 from both sides to isolate the variable, x=12.9

3. 6=1/2z

Multiply each side by 2 to isolate the variable, 12=z

4. 3 1/4 = 1/2+w

Isolate the variable by subtracting 1/2 to both sides, 2 3/4 = w

5. 2.5t=10

Divide each side by 2.5 to isolate the variable, t=4

Step-by-step explanation:

6 0

2 years ago

The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=(10-3)=7\ cm$

substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

$4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}$ ------> exact value

Find the approximate value of the volume

assume

$\pi=3.14$

$32(3.14)=100.48\ cm^{3}$

7 0

3 years ago

Read 2 more answers

Find the area of a floor that measures 12.75ft. by 10.5ft.

babymother [125]

Answer:133.875ft^2

Step-by-step explanation:

Area=length×breadth

Area=12.75×10.5

Area=133.875ft^2

5 0

4 years ago

(X-4)/(x+1)-x/(x-1)=0

GREYUIT [131]

Answer:

x = 2/3

Step-by-step explanation:

$\dfrac{x-4}{x+1}-\dfrac{x}{x-1}=0\\\\\dfrac{(x-4)(x-1)-x(x+1)}{(x+1)(x-1)}=0\\\\\dfrac{-6x+4}{x^2-1}=0 \quad\text{0 when the numerator is zero}\\\\x-\dfrac{2}{3}=0 \quad\text{divide by $-6$}\\\\x=\dfrac{2}{3}$

5 0

3 years ago

What is a slope of a line passing through the points (5.3) and(7,-2)

Ierofanga [76]

Answer:

-2.5

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

-5

= -2.5

θ =

arctan( ΔY ) + 360°

ΔX

= 291.80140948635°

ΔX = 7 – 5 = 2

ΔY = -2 – 3 = -5

Distance (d) = √ΔX2 + ΔY2 = √29 = 5.3851648071345

Equation of the line:

y = -2.5x + 15.5

y =

- 5 x

+ 31

When x=0, y = 15.5

When y=0, x = 6.2

6 0

4 years ago

Read 2 more answers