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kykrilka [37]
3 years ago
6

Tom has a large photo he wants to shrink to wallet-sized. It's width is 20 centimeters and it's len is 30 centimeters. If he wan

ts the width to be 5 centimeters what should the length be?
Mathematics
1 answer:
dsp733 years ago
5 0
We can use ratios, in other words, if one part of the photo is changed x times, how many times does the other part change?

We can set up the proportion as :
width 1 : length 1 = width 2 : length 2

20 : 30 = 5 : x

We do inverse multiplication, or multiply the outer with outer and inner with inner (W1 * L2 and L1 * W2)

20*x = 30*5
20x = 150
Divide all by 10
2x = 15
Divide all by 2 to isolate x
x = 15/2
x = 7.5cm
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How many milliliters of syrup are in a 100-ml sample containing 6.55 g of syrup per 20 mL if the syrup's specific gravity is 1.3
sashaice [31]

Answer:

25 milliliters

Step-by-step explanation:

Given:

volume of sample = 100 ml

Syrup present in sample = 6.55 g per 20 mL

Therefore in 100 mL, amount of syrup present = \frac{\textup{6.55}}{\textup{20}}\times100

or

amount of syrup present in 100 mL sample = 32.75 grams

Now,

Specific gravity of the syrup = 1.31

also,

Specific gravity of the syrup = \frac{\textup{Density of syrup}}{\textup{Density of water}}

or

1.31 = \frac{\textup{Density of syrup}}{\textup{1 g/mL}}

or

Density of syrup = 1.31 g/mL

also,

Density = \frac{\textup{Mass}}{\textup{Volume}}

therefore,

1.31 = \frac{\textup{32.75}}{\textup{Volume of syrup in the sample}}

or

Volume of syrup in the sample = \frac{\textup{32.75}}{\textup{1.31}}

or

Volume of syrup in the sample = 25 milliliters

8 0
3 years ago
What is 7P4<br><br><br><br> A: 28<br><br> B: 35<br><br> C: 210<br><br> D: 840
Semmy [17]

Answer:

D

Step-by-step explanation:

using the definition of nP_{r} = \frac{n!}{(n-r)!}

where n! = n(n- 1)(n - 2)......× 3 × 2 × 1

here n = 7 and r = 4, hence

7P_{4}

= \frac{7!}{3!}

= \frac{7(6)(5)(4)(3)(2)(1)}{3(2)(1)} ← cancel 3 × 2 × 1 leaving

7P_{4} = 7 × 6 × 5 × 4 = 840 → D


4 0
2 years ago
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WHAT IS 35% OF 3000? ROUND TO THE NEAREST HUNDRETH.
Mamont248 [21]
35% of 300 Is 1,050.
4 0
3 years ago
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What is the value of the expression?<br> -16+ 12 <br>(A)-28 <br>(B)-4 <br>(C)4 <br>(D)28 ​
Elden [556K]

Answer:

-16+12= -4

Step-by-step explanation:

When we mins 12 from 16 (16-12) we get 4.

Similarly. When we minus 16 from 12 (12-16) we get -4 because we choose the sign with the greater number.

6 0
2 years ago
How to find the measurements of an angles
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