Ben sells handmade cards at a craft fair he wants to earn more than $50 at the fair he sells his cards for $2 at and it has already earned $36 how many cards does he needs to sell to reach his goal

Answer:

length×base×height

3

= 10×10×8

3

= 800

3

= 266.67cm³

Answer:

volume: 49280 cm³  and   curved S.A = 5826.64 cm²

Explanation:

using similarities:

[tex]\sf \frac{45 + h2}{28} = \frac{h2}{7}[/tex]

[tex]\sf 315 + 7h2 = 28h2[/tex]

[tex]\sf 315 = 28h2-7h2[/tex]

[tex]\sf 315 = 21h2[/tex]

[tex]\sf 15 = h2[/tex]

total height of the cone: 45 + 15 = 60 cm

solve for volume:

[tex]\sf volume \ of \ cone \ = \frac{1}{3} \pi r^2 h[/tex]

[tex]\sf volume \ of \ cone \ = \frac{1}{3} \pi (28)^2 (60)[/tex]

[tex]\sf volume \ of \ cone \ = 15680\ *\frac{22}{7}[/tex]

[tex]\sf volume \ of \ cone \ = 49280 \ cm^3[/tex]

First find the slant height using Pythagoras theorem -

[tex]\sf l^2 = r^2 + h^2[/tex]

[tex]\sf l =\sqrt{ r^2 + h^2}[/tex]

[tex]\sf l =\sqrt{ (28)^2 + (60)^2}[/tex]

[tex]\sf l =66.212 \ cm[/tex]

solve for curved surface area:

[tex]\sf curved \ surface \ area = \pi rl[/tex]

[tex]\sf curved \ surface \ area = \pi (28)(66.2)[/tex]

[tex]\sf curved \ surface \ area =5826.64 \ cm^2[/tex]

Answer:

Train A : 143 tons ; Train B : 18 tons

Step-by-step explanation:

Call train A as A, train B as B

A + B = 161t
A - B = 125t

A = (161+125) : 2 = 143t
B = 143t - 125t = 18t

Answer:

A

Step-by-step explanation:

I'm not fully sure :(

Answer:

1072.3 cm³ (1 dp)

Step-by-step explanation:

A hemisphere is half a sphere.

Therefore, calculate the volume of a sphere with radius 8 cm, then half it.

Volume of a sphere = 4/3 π 8³

                                  = 4/3 × π × 512

                                  = 2048/3 π cm³

Volume of hemisphere = (2048/3 π) ÷ 2

                                       = 1024/3 π

                                       = 1072.3 cm³ (1 dp)

Answer:

  D.  9 cm

Step-by-step explanation:

The radius of the sphere can be found by solving the volume equation for the radius.

  V = 4/3πr³

  3V/(4π) = r³

  r = ∛(3V/(4π)) = ∛(3×3052/(4×π)) ≈ ∛728.611

  r ≈ 9.0 cm

The radius of the sphere is about 9 cm.

Answer: 3

Step-by-step explanation:

3 minus 2 is 1.

1 to the power of 2 is still 1.

4 minus 1

= 3

Answer:

B. The graph of g(x) is narrower than the graph of f(x)

D.The graph g(x) is 8 units above the graph of f(x)

check the image given below.

Let's say we had this data set

This is a collection of whole numbers and decimal values. We need to standardize everything so every value is the same length exactly. Something like "12" involves 2 digits while "12.7" involves 3 digits. We can rewrite 12 into 12.0 to standardize everything to 3 digits. Same goes for 13 into 13.0 and 14 into 14.0

This is the new updated list

Everything now has a decimal point and involves exactly 3 digits.

From here, we'll form the stems: 12, 13, 14

The leaf values are the last digit. Each separate leaf digit refers to one exact number from the original data set.

Refer to the stem-and-leaf plot below.

As you can see, something like 13.0 is smaller than 13.1; therefore, the whole numbers are smaller than the decimal values for a given stem only.

Answer:

i think its A

Step-by-step explanation:

hope this helps :>

The slope of the line that passes through the points (0,-10) and (-4,-11) will be 1/4.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line. Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other. The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Given that the line passes through the points (0,-10) and (-4,-11).

From the formula to find the slope of a line which passes through points

m= y2-y1 / x2-x1

Substitue the points (0,-10) and (-4,-11).

The slope = m = -11-(-10) /. -4-0

m = -1/-4

m = 1/4

Therefore, the slope of the line that passes through the points (0,-10) and (-4,-11) will be 1/4.

Learn more about slope here:

https://brainly.com/question/2503591

#SPJ2

Answer:

112

Step-by-step explanation:

There are 400 employees. If 72 of them work part-time, then 72% of 400 = 400*72%. This equals 288. Then you subtract that from 400 because the rest of them should be full-time workers. 400-288=112.

Answer:

112

Step-by-step explanation:

400 x 0.72 = 288, so that's the number of part-time employees.

400 - 288 = 112

The approximate diameter of the circular plate with circumference of 68.5 centimetre is 21.82 centimetres.

The circumference of a circle is the perimeter of a circle. Therefore, the formula of a circle can be represented as follows:

circumference = 2πr

where

Therefore,

circumference = 68.5 cm

68.5 = 2 × 3.14 × r

r = 68.5 / 6.28

r = 10.9076433121

radius = 10.907

Diameter = 2(radius)

Diameter  = 2 × 10.9076433121

Diameter = 21.8152866242

Diameter = 21.82 cm

learn more on circumference here: https://brainly.com/question/23157879

Answer:

M=6/7 (M= six over seven)

Step-by-step explanation:

Answer:

[tex]\boxed{\sf{-3}}[/tex]

Step-by-step explanation:

You can solve this problem by using the slope formula to find the slope of the line.

Slope formula:

[tex]\sf{\dfrac{Y_2-Y_1}{X_2-X_1}=\dfrac{RISE}{RUN}}[/tex]

y2=(-2)

y1=10

x2=(-5)

x1=(-9)

Rewrite the problem down and then solve it.

[tex]\sf{\dfrac{(-2)-10}{(-5)-(-9)} }=\dfrac{-2-10}{-5+9}=\dfrac{-12}{4}[/tex]

Divide by 4 as well.

[tex]\sf{\dfrac{-12\div4}{4\div4}=\dfrac{-3}{1}=\boxed{\sf{-3}}}[/tex]

Therefore, the slope is -3.

I hope this helps! Let me know if my answer is wrong or not.

Answer:

Revenue

$21.30

Profit:

$ 6.30

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

Let s represent Sipho's age and let l represent Litha's age

The sum of their ages is 29 years

s + l = 29...(1)

In 6 years time, Sipho (s+6), will be the same age Litha was 3 years ago (l-3)

(s+6) = (l-3)...(2)

Age:

s + l = 29

s = 29 - d (express c in d)

(29-s+6) = s - 3 (substitute c)

s+(29-s+6) = s+(d-3)

29+6 = 2s -3

29+6+3 = 2s

38 = 2s

19 = s

Back to (1):

l = 29 - 19

l = 10

Therefore, Sipho is currently 19 years old and Litha is 10 years old

The current age for the two brothers, Sipho and Litha is 10 years old and 19 years old respectively.

A linear equation is the equation in which the highest power of the unknown variable is one.

To solve this problem, let's make the linear equations by the given statement.

Let x be the age of Sipho and y is the age of Litha. The sum of their ages is 29. Therefore,

[tex]x+y=29\\y=29-x[/tex]

Thus, the age of Litha is (29-x)

In 6 years' time, Sipho will be the same age as Litha was 3 years ago. Therefore,

[tex]x+6=(29-x)-3\\x+6=29-x-3\\x+x=29-3-6\\2x=20\\x=\dfrac{20}{2}\\x=10[/tex]

Thus, the age of Sipho is 10 years. The age of Litha is,

[tex]y=29-10\\y=19[/tex]

Hence, the current age for the two brothers, Sipho and Litha is 10 years old and 19 years old respectively.

Learn more about the linear equation here;

https://brainly.com/question/14323743

Answer:

43

Step-by-step explanation:

the quotient is 3x⁴_4x²+7x_12

The distance around would be the circumference.

Circumference formula = diameter x pi

circumference = 20 x 3.14 = 62.8 feet

Answer: 62.8 feet

The normal approximation to the binomial is when you use a continuous distribution (the normal distribution) to approximate a discrete distribution (the binomial distribution).

2 + 3x

= 5

Have a Nice day

The sum of all the angles of any quadrilateral is 360 degrees

             115 + 97 + 58 + missing angle = 360

                   missing angle = 90 degrees

Hope that helps!

Answer:

90

Step-by-step explanation:

Since sum of all the angles of any quadrilateral is 360 degrees

115 + 97 + 58 + x = 360

Solve for x:

Add the numbers

270 + x = 360

Rearrange terms

x + 270 = 360

Subtract 270 from both sides of the equation

x + 270 - 270 = 360 - 270

Simplify

x = 90

Missing angle = 90

[RevyBreeze]

Answer:

Here Given,

KL = 6 cm , LM = LO + OM = 10 cm & KM = x cm

∆LKM is a right angled traingle it is because

∠ LKM = 90° [Angles of semicircle]

By Using Pythagoras theorem :-

KM² = LM² - KL²

KM² = 10² - 6²

KM² = 100 - 36

KM = √64

KM = 8 cm

★Hence, The Value of KM is 8 cm

__________________________________

Answer:

  yes, they are proportional

Step-by-step explanation:

A proportion is a relation that can be modeled by a straight line through the  origin. The equation will have the form ...

  y = kx

where x is the independent variable, y is the dependent variable, and k is a constant of proportionality.

__

If you start with the equation relating distance, rate, and time:

  d = rt

and you fix the time at 50 seconds, then the equation becomes ...

  d = 50t

This is the equation of a proportion with a constant of proportionality of 50. It tells you the distance run is proportional to the rate you run. When this equation is graphed, it is a straight line through the origin.

Answer:

19.2 cups of onion

Step-by-step explanation:

Given a salsa recipe uses green pepper, onion, and tomato in the extended ratio 4:5:6, how many cups of onion are needed to make 72 cups of salsa?

4x + 5x + 6x = 72

⇒ 15x = 72

⇒ x = 72 ÷ 15

⇒ x = 4.8

Onion: 4x = 4 x 4.8 = 19.2 cups

Answer:

[tex]{\large{ \red{{{19.2 }}}}}[/tex]

Solution:

[tex]4x + 5x + 6x = 72[/tex]

[tex]⇒ 15x = 72[/tex]

[tex]⇒ x = \frac{72}{15}[/tex]

[tex]⇒ x = 4.8[/tex]

Onion: [tex]4x = 4 \times 4.8 = 19.2 cups[/tex]

Answer:

380.16

Step-by-step explanation:

To find the capacity of a tank: multiply the length by the width to get the area. Then multiply the area by height to get volume. Finally, multiply the volume by 7.48 gallons per cubic foot to get capacity.

Answer: (k - 1) (9k^2 + 1)

Answer:

She soled 58 small prints and one big print

Answer:

scalene right

Step-by-step explanation:

it has a right angle in it and all the sides are different.