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3 years ago

Write the system and

Mathematics

1 answer:

kipiarov [429]3 years ago

5 0

Answer:

20 apples, 32 pears

Step-by-step explanation:

Using a for number of apples and p for number of pears, you get a+p=52 (amount) and 0.4a+0.5p=24 (cost).

One way of solving simultaneous equations is using like terms and adding/subtracting them to remove a variable. There aren't any like terms here, but we can create some by multiplying terms.

Multiplying the second equation by 2 gives 0.8a+p=48, so that makes a like term.

Since the symbols are the same in front of the like term, we subtract the second term from the first one. This gives 0.2a=4.

Dividing by 0.2 gives a=20.

We can sub this into either equation to get the value of p.

a+p=52, so 20+p=52, meaning p=32.

**This content involves simultaneous equations, which you may want to revise. I'm always happy to help!

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Help please……..??.?.?.?.?.?

aleksklad [387]

9514 1404 393

Answer:

c) 16,500 m³

d) 277,088 mm³

a) V = LWH

b) V = πr²h

Step-by-step explanation:

The relevant volume formulas are ...

rectangular pyramid: V = 1/3LWH
cylinder: V = πr²h
rectangular prism: V = LWH

13c. The pyramid formula above tells us the volume is ...

V = 1/3(60 m)(15 m)(55 m) = 16,500 m³

13d. The cylinder formula above tells us the volume is ...

V = π(35 mm)²(72 mm) ≈ 277,088 mm³ ≈ 277 mL

14a. The shape appears to be a rectangular prism, so its volume is given by the formula ...

V = LWH . . . . . where L, W, H represent the length, width, and height

14b. The volume of a cylinder is given by the formula ...

V = πr²h . . . . . where r, h represent the radius and height (length)

7 0

3 years ago

a high school stage collapsed in Fullerton, California, when 250 students got on stage for the finale of a musical production. T

Lera25 [3.4K]

Answer:

Step-by-step explanation:

In this question, the important information we get from this is that the stage can support 12,750 students. We are asked, if the average weight of a student is 140 pounds, what is the maximum number of students that can be on the stage safely?

To solve, we simply divide 12,750 by 140.

$x=\frac{12,750}{140}$

$x= 91.07$

We get 91.07 as our answer. Since we are considering the maximum number of students, then we must round 91.07 to the nearest whole number which would be 91.

The maximum number of students who could safely be on the stage is 91.

6 0

3 years ago

Use the three steps to solve the problem. maple syrup worth $6.00 a gallon and corn syrup worth .80 cents a gallon are used to m

Ksenya-84 [330]

<span>Cost of maple syrup = $6.00 a Gallon Cost of corn syrup = 0.80 cents a Gallon Cost of the syrup mixture = $2.36 a Gallon There is mixture of 50 Gallons Lets maple syrup be x gallons, so corn syrup be 50-x gallons Hence, 6*x + 0.80(50-x) = 2.36*50 6x + 40 - 0.8x = 118 5.2x = 78 => x = 78/5.2 => x = 15 So Maple will be syrup be 15 gallons. Corn syrup will be 35 gallons.</span>

3 0

3 years ago

Determine the intercepts of the line.

Lilit [14]

Answer:

(-7.5, 0) x intercept

(0, 5.5) y intercept

Step-by-step explanation:

The x intercept is where it crosses the x axis

It crosses at (-7.5, 0)

The y intercept is where it crosses the y axis

It crosses at (0, 5.5)