Jeff as a collection of hockey cards. His brother Steve had 10 more cards than Jeff. Steve gave Jeff all of his cards. Jeff ended up with 992 cards. How many cards did Jeff start with?

Answer:

d) A foundation may be a rectangle : 24² + 32² = 40²

Step-by-step explanation:

P.S - The exact question is -

Given - A builder set up a wooden frame in which to pour concrete for a foundation to a house. The length of the wooden frame is 24 feet. The width is 32 feet. The diagonal is 40 feet.

To find - Which best describes the foundation?

a) A foundation can not be a rectangle : 24 + 32 ≠ 40

b) A foundation can not be a rectangle : (24 + 32)² ≠ 40²

c) A foundation can not be a rectangle : √24² + 32² ≠ 40²

d) A foundation may be a rectangle : 24² + 32² = 40²

Proof -

We have to check whether the shape of the frame is rectangle or not.

As we know that,

A diagonal divides the rectangle in two right angle triangles

So,

Given that Length = 24

                  Width = 32

                  Diagonal = 40

By applying Pythagoras theorem, we get

40² = 24² + 32²

So,

The correct option is - d) A foundation may be a rectangle : 24² + 32² = 40²

Answer:4

Step-by-step explanation:

Answer:

540 times the hours he runs

Step-by-step explanation:

Simply just 540 times the hours he runs

Answer:

Step-by-step explanation:

Answer:

70.99

Step-by-step explanation:

Use Pythagorean Theorem to find the shortest distance.

80^2-50^2=3900

Square rt= 62.44

Subtract by 15

47.44

Next find half of the circular path it is (3.14 x 15)/2

23.55

Add 47.44+23.55=70.99

Hope this is correct

Answer:

6=-3/4x+(-4)

Step-by-step explanation:

The equation of any straight line, called a linear equation, can be written as: y= mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis. So for the given information you can see that they gave you your slope of -3/4 so you fill that in under the m. The point that would cross the y axis would be -4 because when you think of it on a graph you would see it as (-4 y)  and (6 x). When you are writing linear equations you use the form y=mx+b.

Hope this helps

Answer:

<A=135°

now

3x+6+x+2=180

sum of two opposite angle of the cyclic quadrilateral is 180

4x=180-8

x=172/4=43°

<A=3×43+6=135° is your answer

Answer:

The system of equations are:

s + b = 1650.... Equation 1

0.04s + 1.5b = 1818........ Equation 2

The number of

Small trees = 450 trees

The number of Big trees = 1200 trees

Step-by-step explanation:

From the above question

Small trees = s

Large trees = b

An urban forest has 1,650 large and small trees.

Hence,

s + b = 1650.... Equation 1

s = 1650 -b

A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. Together, these trees remove 1,818 kg of pollution each year.

Hence:

0.04s + 1.5b = 1818........ Equation 2

We substitute 1650 - b for s

0.04(1650 - b) + 1.5b = 1818

66 - 0.04b + 1.5b = 1818

- 0.04b + 1.5b = 1818 - 66

1.46b = 1752

b = 1752 ÷ 1.46

b = 1200 trees

Solving for x

1650 - b = s

s = 1650 - 1200

s = 450 trees

Answer:

Simplify first:

-4n - 20 = 8

Add 20 to both sides:

-4n = 28

Divide by -4:

Therefore you will get:

n = -7

Answer:

n = -7.

Step-by-step explanation:

-4(n + 5) = 8

-4n - 20 = 8

-4n = 28

n = -7.

Answer:

24

Step-by-step explanation:

24

Answer: Option D.

Step-by-step explanation:

An exponential function is something like:

f(x) = A*(r)^x

Where:

A = initial amount.

r = rate of growth

x = variable.

This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"

or:

"There is a population of A animals, and it doubles each year"

Let's analyze briefly all the given options and see which one is an exponential function.

A) The water level of a tank decreases by 5 gallons every day.

This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:

y = W - 5 gal*x

B) The amount of money collected by a charity increases by $5,000 each year.

The amount collected increases $5000 each year.

Then if in year 1 they collected A.

in year 2 they collected A + $5000

in year 3 they collected A + 2*$5000

We already can see the pattern, this is a linear relation:

in year X they colected A + (X - 1)*$5000

C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

if y is the height of the tree, and x is the number of years, this can be written as:

y = 10ft + x*2ft

Again, a linear relation.

D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.

Let's define x as each "lapse" of 10 minutes that passes.

If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55

After another 10 minutes, the population decreases again.

N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2

We can see the pattern here, this can be written as

People(x) = N*(0.55)^x

This is an exponential function.

Answer: y = -0.5x + 1

Answer:

it's 933

sorry i dont have discord insta.gram or any social media but i can add you on here

Answer:

$0.52

Step-by-step explanation:

To find the unit cost of one serving of watermelon, divide the price of the bunch of watermelons by the number of people to be fed

unit price = price of the bunch / total people to be fed

$7.75 / 15 = $0.52

Answer: (2t - 5) • (t - 1) -  2  = 0

t=3

Step-by-step explanation:

Answer:

32 pints

Step-by-step explanation:

Answer:

yall its 9 i got it right on the test in edg

Step-by-step explanation:

The value of the variable 'x' in the arithmetic sequence 6, 9, 12, 15, x, .... will be 18.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence is given as,

6, 9, 12, 15, x, .....

The common difference between the succession term remains constant. Then the equation is given as,

15 - 12 = x - 15

Simplify the equation, then we have

15 - 12 = x - 15

3 = x - 15

x = 15 + 3

x = 18

The value of the variable 'x' in the arithmetic sequence 6, 9, 12, 15, x, .... will be 18.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ6

The complete sequence is given below.

6, 9, 12, 15, x, ......

Answer:

-8/7

Step-by-step explanation:

(-3, 6) & (4,-2)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-2 - 6) / (4 - (-3))

Simplify the parentheses.

= (-2 - 6) / (4 + 3)

= -8 / 7

Simplify the fraction.

= -8/7

This is your slope.

Hope this helps!

Answer:

B

Step-by-step explanation:

ABC:

A = 10 degrees

B = 145 degrees

145 + 10 = 165

180 - 165 = 15 degrees

C = 15 degrees

MNP:

M = 145 degrees

N = 15 degrees

P = so therefore, P is 165 degrees

MNP is similar to ABC

Answer:

13.3 feet

Step-by-step explanation:

This question can be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length = 20

b = base

c = diagonal = 24

24^2 = 20^2 + b^2

576 = 400 + b^2

b^2 = 176

b = 13.3

Answer: 50 degrees

Step-by-step explanation: the total degree is 90 90-40=50

Answer:

[tex] \frac{5}{12} [/tex]

Step-by-step explanation:

[tex] \frac{7}{12} - \frac{1}{6} \\ \\ = \frac{7}{12} - \frac{2}{12} \\ \\ = \frac{7 - 2}{12} \\ \\ = \frac{5}{12} [/tex]

Answer:

0.41666666666

or

5/12

Step-by-step explanation:

Answer:

54 centimeters

Step-by-step explanation:

Answer:

ok!

Step-by-step explanation:

the mean is 8.125 and the median is 7

Answer:

p is the answer!!!!!!!!!!!!!

Answer:

this is your answer look it once