MATHEMATICS COLLEGE

a recipe for salsa is 65% tomatoes.if a batch contains 5.2 cups of tomatoes,how large is the batch of salsa. please help!!

Answers

Answer 1
Answer:

Answer:

8 cups

Step-by-step explanation:

Let the total batch of salsa be x.

(65)/(100)x = 5.2

(100)/(100)x = (100)/(65) × 5.2

x = 8

Answer 2
Answer: 8 cups of tomatoes...

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At the start of 2014 Mike's car was worth £12000.The value of the car decreased by 30% every year.Work out the value of his car at the start of 2017.

3 gallons of paint cover 900 square feet. How many gallons will cover
1950 square feet?

Answers

Answer:

six and a half litres

Step-by-step explanation:

if 3g = 900

what about 1950

you cross multiply

Determine the area of a cone that its volume is 238 cubic centimeters and the height is 74 centimeters.

Answers

Answer:

1.75 cm

Step-by-step explanation:

The volume of a cone is 238  with height 74. To find the radius, substitute and solve for r.

[tex]V= (1)/(3)\pi r^2 h\n 238= (1)/(3) \pi (r^2)(74) \n 238*3= \pi (r^2)(74)\n (714)/(74\pi) = r^2\n\sqrt{(714)/(232.36) } =r\n 1.75=r[/tex].

Find the diameter, radius, area and circumference of the circle. Show your work.

Answers

Step-by-step explanation:

Radius:6ft

Diameter:12ft

Area:

\pi {r}^(2) = \pi {6}^(2) = \n = 113.097336 = 113.1. {ft}^(2)

circumference:

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The health of the bear population in yellowstone national park is monitored by periodic measurements. a sample of 54 bears has a mean weight of 182.9 lb. assuming the standard deviation is known to be 121.8lb find a 99% confidence intreval estimate

Answers

The 99% confidence interval will be found as follows:
x_bar +/- z(σ/√n)
where
z- z-score
σ-sigma
n=sample size
thus from the information given we shall have:
182.9+/-2.58(121.8/√54)
=182.9+/-42.7632
=225.6632 or 140.1368

Solve for x. Enter your answer in the box. x = A triangle with vertices labeled as A, C, D. Side C D is the base and the top vertex is A. Side C D is parallel to B E. Side A E is labeled as 7x minus 40, side E D is labeled as 18, side C B is labeled as 15, and side A B is labeled as 25.

Answers

Answer:

x = 10

Step-by-step explanation:

In ΔADC

∵ EB // DC

∴ m∠AEB = m∠ADC ⇒ corresponding angles

∴m∠ABE = m∠ACD ⇒ corresponding angles

In the two triangles ADC , AEB

∵ m∠AEB = m∠ADC

∵ m∠ABE = m∠ACD

∵ ∠A is a common angle

∴ ΔADC similar to ΔAEB

∴ AE/AC = AB/AC

∵ AE = 7x - 40 , ED = 18

∴ AD = 7x - 40 + 18 = 7x - 22

∵ AB = 25 , BC = 15

∴ AC = 25 + 15 = 40

∴ (7x - 40)/(7x - 22) = 25/40 ⇒ use cross multiplication

∴ 40(7x - 40) = 25(7x - 22)

∴ 280x - 1600 = 175x - 550

∴ 280x - 175x = 1600 - 550

∴ 105x = 1050

∴ x = 1050 ÷ 105 = 10

Answer:

10

Step-by-step explanation:

They said a whole lot of nothing so imma give the easier breakdown:

18/15=1.2
1.2x25=30
30+40 = 7x
7x = 70
x=10

I need help with this math problem please (3x+2)(5x-7)

Answers

Answer:

Hey there!

Using the foil method: (3x+2)(5x-7)

15x^2+10x-21x-14

15x^2-11x-14

Let me know if this helps :)

Here’s your answer (3x+2)x(5x-7)
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