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3 years ago

Write the expression The product of seven and a number, increased by 5

Mathematics

2 answers:

EastWind [94]3 years ago

8 0

Answer:

(7×x) +5

Step-by-step explanation:

product of 7 and a number means 7x. increase by 5 means + 5

mafiozo [28]3 years ago

6 0

Answer:

(7×X)+5

Step-by-step explanation:

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A ten-foot-long board is cut into three pieces. The second piece is half as long as the first. The third piece is 4 feet longer

VladimirAG [237]

Let's say the second piece is x ft long
The first piece is 2x ft long
The third piece is x+4 ft long
All of the pieces should add up to 10ft
x+2x+x+4=10
4x= 6
x=1.5ft
The first piece is 2x ft long=3 ft long

7 0

3 years ago

A spherical balloon has a 34-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the

jeka57 [31]

Answer:

a. 20,579.52 cubic inches

b.10,289.76 cubic inches.

c. 13.49 inches

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of a sphere:

Volume of a sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

34 =2r

34/2=r

r= 17 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (17)³

V = 20,579.52 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

20,579.52/2 = 10,289.76 cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76

10,289.76= 4/3 π r³

Solving for r

10,289.76/ (4/3 π)= r³

2,456.5 = r³

∛2,456.5 = r

r = 13.49 inches

7 0

4 years ago

What is the area of a hexagon with an apothem of 10

worty [1.4K]

Since the perimeter of said hexagon is 120√3, we simply multiply this number by 10 and divide it by 2.

1200√3/2 = 600√3

6 0

4 years ago

Find the y intercept of the equation y=-6x+10

vfiekz [6]

ANSWER

The y-intercept is 10.

EXPLANATION

The given equation is

$y = - 6x + 10$

At y-intercept, x=0.

This implies that,

$y = - 6(0) + 10$

This simplifies to,

$y = 10$

The y-intercept is 10.

It has the ordered pair,

$(0,10)$

Also, we can compare to

$y = mx+c$

where

$m=-6$ is the slope

and

$c=10$

is the y-intercept.

7 0

4 years ago

What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? Use 3.14 for π.

irakobra [83]

The angular velocity is the linear speed divided by the radius.
ω = d/(t*r) = (14.13 ft)/((3 s)*(6 ft))
ω = 0.785 radians/second
There are 180/π degrees per radian, so the angular velocity can also be written as ...
ω = 45 degrees/second

5 0

4 years ago