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3 years ago

Ben has b dollars. Cam has 7 fewer dollars than ben. How many dollars does cam have?

Mathematics

2 answers:

aleksley [76]3 years ago

5 0

Answer:

b - 7 = the amount of money Cam has

Step-by-step explanation:

We don't know how much money ben has so we have to subtract 7 from <em>b</em> to find the amount of money Cam has.

Hope this helps!

Hunter-Best [27]3 years ago

5 0

Answer:

Cam must have b-7 dollars.

Step-by-step explanation:

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The longer leg of a right triangle is 6cm longer than the shorter leg and also 1cm longer than the hyptenese. find the perimeter

CaHeK987 [17]

X - a leg (x > 6);
x - 6 - a leg;
x + 1 - a <span>hypotenuse;</span>
Use the Pythagorean theorem
$(x+1)^2=x^2+(x-6)^2$

Use: $(a\pm b)^2=a^2\pm2ab+b^2$

$x^2+2x+1=x^2+x^2-12x+36\ \ \ |-x^2-2x-1\\\\x^2-14x+35=0\ \ \ |-35\\\\x^2-14x=-35\\\\x^2-2\cdot x\cdot7=-35\ \ \ |+7^2\\\\x^2-2\cdot x\cdot7+7^2=-35+7^2\\\\(x-7)^2=14\iff x-7=\pm\sqrt{14}\ \ \ |+7\\\\x=7-\sqrt{14} < 6;\ x=7+\sqrt{14}$

$x=7+\sqrt{14}\\x-6=1+\sqrt{14}\\x+1=8+\sqrt{14}$

The perimeter:

$7+\sqrt{14}+1+\sqrt{14}+8+\sqrt{14}=16+3\sqrt{14}$

5 0

3 years ago

A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is to have a volume of 505π ft3,

Romashka-Z-Leto [24]

Answer:

radius x = 3 ft

height h = 23,8 ft

Step-by-step explanation:

From problem statement

V(t) = V(cylinder) + V(hemisphere)

let x be radius of base of cylinder (at the same time radius of the hemisphere)

and h the height of the cylinder, then:

V(c) = π*x²*h area of cylinder = area of base + lateral area

A(c) = π*x² + 2*π*x*h

V(h) = (2/3)*π*x³ area of hemisphere A(h) = (2/3)*π*x²

A(t) = π*x² + 2*π*x*h + (2/3)*π*x²

Now A as fuction of x

total volume 505 = π*x²*h + (2/3)*π*x³

h = [505 - (2/3)* π*x³ ] /2* π*x

Now we have the expression for A as function of x

A(x) = 3π*x² + 2π*x*h A(x) = 3π*x² + 505 - (2/3)π*x³

Taking derivatives both sides

A´(x) = 6πx - 2πx² A´(x) = 0 6x - 2x² = 0

x₁ = 0 we dismiss

6 - 2x = 0

x = 3 and h = [505 - (2/3)* π*x³]/2* π*x

h = (505 - 18.84) / 6.28*3

h = 23,8 ft

7 0

3 years ago

Find the area of a square if the perimeter is equal to 38 in.

Misha Larkins [42]

Hello! I would love to help!

Alright! We know that perimeter is basically adding all the sides of a shape together. We also know that a square has 4 sides, so 38 is the result of 4 sides being added. Now, we also know that all sides of a square are even. So, to find one side of a square, we just need to do 38/4

38/4=9.5

Alright. So now we know one side of a square is 9.5 in. We know that in order to find area, we have to multiply length and width. We know that since all sides of a square are even, 9.5 is both our length and width. So, in order to find the area, we just have to multiply 9.5 by 9.5

9.5*9.5=90.25

Alright! So we have determined your answer!!!

90.25 or in fraction form 90 1/4 inches squared!

Hope this helped! Comment if you have questions!!

8 0

3 years ago

Chet started to slow his eating speed down later in the evening. He was

ozzi

Answer:

The unit rate is:

1/8 turkey/per hour.

Step-by-step explanation:

As Chet was eating 1/4 of a turkey every 2 hours.

This tells us that every two hours, Chet will eat 175 1/4 of a turkey.

Unit rate basically means 'how much of something per 1 unit of something else'.

A unit rate is a rate with a denominator of 1 unit.

This means, in 1 hour, Chet will eat half of what he eats every 2 hours.

so Chet will eat $\frac{\frac{1}{4}}{2}=\frac{1}{8}$ of a turkey in 1 hour.

i.e.

$\frac{\frac{1}{4}}{2}=\frac{1}{8}$

Therefore, the unit rate is:

1/8 turkey/per hour.

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3 years ago

Steve must pay 28% of his salary in federal income tax. If his salary this year is $168,000, how much is his federal income tax?

Leokris [45]

Answer:

Step-by-sp explanation:

3 0

3 years ago