Matti has one more pencil than Chang-Lin. Renaldo had three times as many as Chang-Lin, and one more than Jorge. Jorge has 5 pencils, how many pencils does Matti Have?

Answer:

25 ft

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

15^2 + 20 ^2 = x^2

225+400= x^2

625 = x^2

Take the square root of each side

sqrt(625) = sqrt(x^2)

25 = x

Answer:

a₁ = 37

Step-by-step explanation:

In an arithmetic progression the common difference d is

d = a₂ - a₁ = a₃ - a₂ , that is

2x - 18 - (x + 1) = 2x - 1 - (2x - 18) ← distribute and simplify both sides

2x - 18 - x - 1 = 2x - 1 - 2x + 18

x - 19 = 17 ( add 19 to both sides )

x = 36

Thus

a₁ = x + 1 = 36 + 1 = 37

This doesn’t include the Einstein problem cause I didn’t have that one.

Answer:

1)0.125

2)127.825

Step-by-step explanation:

Answer:

m∠2=9

Step-by-step explanation:

Hello There!

The problem states that the angles are complementary angles

Complementary angles are angles that have measures that add up to equal 90

So given one of the angles we can find the missing angle by subtracting the known angle from 90

90 - 81 = 9

so we can conclude that the measure of angle 2 is 9

Answer:

22

Step-by-step explanation:

180 - 90 - 68

Answer:

22

Step-by-step explanation:

Answer:

I believe it's linear

Step-by-step explanation:

don't quote me on that tho

Step-by-step explanation:

29 + 33 = 62

6 + 7 > 12

number one is 33

number two is d = 7

Answer: c=33 and d=7

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

first we want to find the missing angle at the top

to do that we subtract the given angles by 180

the square indicates that the angle is a right angle or that it equals 90

180-90-40=50

we know that the angle equal to 50 and x are supplementary angles so they will add up to equal 180 so to find x we subtract 50 from 180

180-50-130 so the answer is c

have a great day :D

If the parent graph f(x) = x² is changed to f(x) = 2x², the vertex of the parabola will still remain (0, 0) because whenever the equation of a parabola is in the form y = ax², the vertex will always be (0, 0).

Now if a is a big number, the parabola will become narrower.

So it will stretch vertically and become narrower.

Answer:

264 square miles

Step-by-step explanation:

Answer: $75.07

Step-by-step explanation:

company sells each pair of shoes for $75.07 in stores. ... W=-650 + 34 ... Solve 1 by using elimination. Express as an ordered pair. +. (2x+y=-12. 5x=0 ... 250. 60. Sam earned $450 during winter vacation. He needs to save $180 for a camping.

Answer:

$75.07

Step-by-step explanation:

company sells each pair of shoes for $75.07 in stores. ... W=-650 + 34 ... Solve 1 by using elimination. Express as an ordered pair. +. (2x+y=-12. 5x=0 ... 250. 60. Sam earned $450 during winter vacation. He needs to save $180 for a camping.

The duration of time period required is 2.4 years.

Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.

Given that, A person invests 3500 dollars in a bank. The bank pays 6.25% interest compounded annually.

A = P(1+r/100)ⁿ

n = time

A = amount

P = principal

11100 = 3500(1+0.0625)ⁿ

3.171 = (1.0625)ⁿ

Taking log to both sides,

log(3.171) = nlog(1.0625)

n = 2.40

Hence, the required time is 2.4 years.

For more references on compound interest, click;

https://brainly.com/question/14295570

#SPJ2

Answer:

#1

Surface area is the sum of 3 rectangles and 2 triangles:

#2

Surface area is the sum of 1 square and 4 triangles:

Answer:

if you want the area, then:

area = 35.625 in^2   or 35 5/8 in^2

if you want the perimeter, then:

perimeter = 30.05 in  or 20 1/16 in

Step-by-step explanation:

area of left side triangle = 3.75(5)(0.5) = 9.375 in^2

middle rectangle = 5.5(3.75) = 20.625 in^2

right side triangle  = 3(3.75)(0.5) = 5.625 in^2

total area = 35.625 in^2

right side^2 = (3.75)^2 + 3^2

right side = 4.80

perimeter = 5.5+4.8+8.5+5+6.25 = 30.05 in

Answer:

C. 1796.08 [tex]in^2[/tex]

Step-by-step explanation:

Area of circle is [tex]\pi r^2[/tex], r is the radius

remember radius is from the center to the edge, so it is half the diameter

now we need to find the area of the large circle (table) minus the small circle (hole)

the radius of the large circle is 48/2 which is 24

the area is [tex]\pi 24^2[/tex] replacing r in the formula with 24, the radius. Using 3.14 as pi, the answer is 1808.64

the radius of the small circle is 4/2 which is 2

the area is [tex]\pi 2^2[/tex] so the calculated value would be 12.56

now subtract the area of the hole (small circle) from the area of the table (large circle)

1808.64 - 12.56 = 1796.08

and there's your answer

hope that helps, lmk if it doesn't :)

Answer:

Step-by-step explanation:

r₁ = radius of tabletop = 24 in

r₂ = radius of hole = 2 in

area of hole = πr₂² = 4π in²

area of tabletop = πr₁² - πr₂² = 576π - 4π = 572π ≈ 1796.08 in²

Answer:

The answer is 116

Step-by-step explanation:

Because this shape is a quadrilateral, so the sum of the angles of a quadrilateral is a total of 360 degrees. So i added 90 + 90 + 64 = 244. And 360 - 244 = 116.

Answer:

116°

Step-by-step explanation:

There are 2 right angles so we add them:

1 right angle = 90°

2 right angle: 90° + 90° = 180°

As we can we have another value which is 64° so we add that as well:

180° + 64° = 244°

Since it is a 4-sided shape all the values will add up to 360°

Subtract 360 and 244

360° - 244° = 116°

x = 116°

Hope this helps

Answer:

Step-by-step explanation:

Sales tax = $750 × 0.08375 = $62.8125

Answer:

[tex]\boxed {\boxed {\sf \$62.81}}[/tex]

Step-by-step explanation:

To find the sales tax, multiply the price by the tax rate.

[tex]sales \ tax=price * tax \ rate[/tex]

The price of the TV is $750 and the tax rate is 8.375%, but we must convert it to a decimal. Divide by 100 or move the decimal place two spots to the right.

Substitute the values into the formula.

[tex]sales \ tax= 750*0.08375\\sales \ tax= 62.8125[/tex]

Round to the nearest cent, which is the hundredth place. The 2 in the thousandth place tells us to leave the 1.

[tex]sales \ tax = 62.81[/tex]

The sales tax on the TV is approximately $62.81.

Answer: [tex]432\ in.^3[/tex]

Step-by-step explanation:

Given

The dimension of a rectangular prism is [tex]12\times 6\times 10\ in.^3[/tex]

Water is filled [tex]4\ in.[/tex] from the top i.e. [tex]10-4=6\ in.[/tex] high

base area for the water is the same i.e.  [tex]12\ in.\times 6\ in.[/tex]

The volume of rectangular prism is [tex]l\times b\times h[/tex]

The volume of water in the vase is given by

[tex]\Rightarrow V=12\times 6\times 6=432\ in.^3[/tex]

Answer:

11.17 ft

Step-by-step explanation:

Since the swing hangs from a beam 10 feet high with the seat hanging 2 feet above the ground, the swing moves in an arc of radius r = 10 ft - 2 ft = 8 ft.

Now, since the swing moves back and forth from -130° to -50° to the horizontal, the length of arc L it moves in is given by

L = Δθ/360 × 2πr where  Δθ = change in angle of the swing = θ₂ - θ₁ where θ₁ =  -50° and θ₂ = -130°. So, Δθ = θ₂ - θ₁ = -130° -(-50°) = -130° + 50° = -80°.

Substituting r and  Δθ into L, we have

L = -80°/360° × 2π(8 ft)

= -8/36 × 16π ft

=  -32π/9 ft

= -100.53/9 ft

= -11.17 ft

Ignoring the negative sign, the length of arc L = 11.17 ft. So, the swing moves back and forth 11.17 ft

Answer:

98 bracelets

Step-by-step explanation:

Number of days, n = 6

Evan:

= 10 + 8(n - 1)

= 10 + 8(6 - 1)

= 10 + 8(5)

= 10 + 40

= 50 bracelets

Dorinda

= 8n

= 8(6)

= 48 bracelets

Total bracelets they will make in all = Evan + Dorinda

= 50 + 48

= 98 bracelets

Answer:

This does not explain

Step-by-step explanation:

...

Answer:

26

Step-by-step explanation:

With some trial and error I found out that the square equals 5 and the circle equals 7. Now to find the triangle, I used the second equation. It was ⬜+⭕+⭕+⛛+⛛ = 27

So I put in the numbers in place of the square and circle:

5+7+7+⛛+⛛ = 27

5+7+7 = 5+14=19

27-19=8

So now we know that 2⛛=8

So I did 8 ÷ 2 = 4. ⛛=4

So we know that ⛛ = 4, ⭕ = 7, ⬜ = 5

Lets solve: ⬜ + ⬜ + ⬜ + ⭕ + ⛛ = ?

Translating into: 5 + 5 + 5 + 7 + 4 = 26

So our final answer is 26.

Given:

The selling price of a ratio set = 72.00

Profit percent = 8%

To find:

The cost price for the radio set.

Solution:

Let x be the cost price for the radio set.

Radio set is sold at 8% profit.

[tex]\text{Selling price}=x+\dfrac{8}{100}x[/tex]

[tex]\text{Selling price}=x+0.08x[/tex]

[tex]\text{Selling price}=1.08x[/tex]

The selling price of a ratio set is 72.00.

[tex]72=1.08x[/tex]

[tex]\dfrac{72}{1.08}=x[/tex]

[tex]x=66.666...[/tex]

[tex]x\approx 67[/tex]

Therefore, the cost price for the radio set is 67.

Answer:

Question 1:

1. 3.14

2. 6.2

Question 2:

1. 20

2. 25

3. 30

4. 35

Answer:

y< 6.28

Step-by-step explanation:

y<157/25 y<6 7/25 , Y={-infinity sign, 6.28

Answer:

1/2

Step-by-step explanation:

hope this helps!

Answer:

58 degrees

Step-by-step explanation:

We know that angles on a straight add up to 180 degrees. Therefore:

To find the angle at the top of the triangle do 180-112 = 68

To find the angle at the right side of the triangle do 180 - 126 = 54

We know that angles in a triangle add up to 180 degrees. Therefore:

To find m do 180 - (54 + 68) = 58

Answer:

t=-19/7

Step-by-step explanation:

you need to isolate for t which means you need to get t all alone on one side of the equation. Do do that you can divide both sides by 7. This gives you -19/7=7t/7

we know that anything divided by itself is 1 so we get -19/7=t

This is the simplest for because 19 and 7 are both prime numbers, so you can't simplify them.

Answer: 1,000 products

Step-by-step explanation:

If 20 out of 800 products are found to be defective, the percentage of defective products would be:

= 20 / 800

= 2.5%

At this same rate of 2.5%, if there are 40,000 products instead of 800, the number of defective products would be:

= 2.5% * 40,000

= 1,000 products