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3 years ago

The sum of two numbers is 38. Their difference is 50. What are the numbers? 20 POINTS

1 answer:

7 0

Let, the numbers = x,y
Now, x + y = 38
x - y = 50, x = 50 + y

Substitute it into first equation,
50 + y + y = 38
2y = 38 - 50
y = -12 / 2
y = -6

Substitute it into first equation,
x - 6 = 38
x = 38 + 6 = 44

So, your final answer is x = 44 & y = -6

Hope this helps!

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3 years ago

A clothing store is having a sale on graphing T-shirts and plain T-shirts. There are 56 graphic T-shirts on sale. The store mana

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Step-by-step explanation:

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3 years ago

Read 2 more answers

George wants to invest $20,000 One investment pays interest at a rate of 18 2/3% while another pays interest at a rate of 0.1872

xz_007 [3.2K]

Answer:

Investment with interest rate 0.1872 is better

Step-by-step explanation:

Given as :

George investment principal = $20,000

The Rate of interest (R1) = 18 $\frac{2}{3}$ % = $\frac{56}{3}$ %

I.e R1 = 18.67 %

Again The The Rate of interest (R2) = 0.1872 = 18.72 %

Let the time period for both rate of interest = 1 years

Now from compound interest method

Amount = Principal × $(1 + \frac{Rate}{100})^{Time}$

Or, A 1 = $ 20 , 000 × $(1 + \frac{18.67}{100})^{1}$

Or, A 1 = $ 20 ,000 × 1.1867

∴ A 1 = $ 23,734

And A 2 = $ 20 , 000 × $(1 + \frac{18.72}{100})^{1}$

Or, A 2 = $ 20 ,000 × 1.1872

∴ A 2 = $ 23,744

Hence From the calculation of both amount it is clear that , investment with interest rate 0.1872 is better . Answer

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3 years ago

Triangle MNP has side lengths 3.5 cm, 4.1 cm, and 4.3 cm. A triangle with what side lengths would be similar to triangle MNP?

atroni [7]

Answer:

Option 1,

The triangle MNP is similar to the triangle with side lengths 35 cm, 41 cm, 43 cm

Step-by-step explanation:

Given triangle MNP has side lengths 3.5 cm, 4.1 cm, and 4.3 cm. we have to find the similarity triangle sides from the given option.

As we know, the two triangles are similar if the measures of the corresponding sides of two triangles are proportional.

For the first option: 35 cm, 41 cm, 43 cm

$\frac{3.5}{4.1}=\frac{4.1}{41}=\frac{4.3}{43}=\frac{1}{10}$

which shows that the sides are proportional.

we have to choose only one option ∴ we needn't have to check the others

Hence, the triangle MNP is similar to the triangle with side lengths 35 cm, 41 cm, 43 cm

6 0

3 years ago

Estimate the sum 8/10 + 1/9

RideAnS [48]

Answer:

41/45

Step by Step Explanation:

Add: 8/

+ 1/

= 8 · 9/

10 · 9

+ 1 · 10/

9 · 10

= 72/

+ 10/

= 72 + 10/

= 82/

= 2 · 41/

2 · 45

= 41/

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 9) = 90. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 9 = 90. In the following intermediate step, cancel by a common factor of 2 gives 41/

In other words - eight tenths plus one ninth = forty-one forty-fifths.

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2 years ago