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Zigmanuir [339]
3 years ago
6

Can 2yards and 60 inches be expressed as a ratio if so express the ratio in simplest form

Mathematics
1 answer:
LenaWriter [7]3 years ago
8 0
No because 2 yards equals 72 inches not 60
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When Cullen cleaned behind his dresser, he found 73 cents, all in nickels and pennies. There were 25 coins. How many were nickel
Georgia [21]
Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25

The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73

Now you have a system of equations.

n + p = 25
0.05n + 0.01p = 0.73

Solve the first equation for n:
n = 25 - p

Now substitute into the second equation.

0.05(25 - p) + 0.01p = 0.73

1.25 - 0.05p + 0.01p = 0.73

-0.04p = -0.52

p = 13

There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.

n + 13 = 25
n = 12

There are 13 pennies and 12 nickels.

Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
5 0
2 years ago
if 5000000 invested at 4% interest compounded continuously how much will the investment be worth in 30 years
umka21 [38]
For this you use A=Pe^(rt)
A=furutre amount
P=present amount
e=natural base
r=rate in decimal
t=times in years

A=?
P=5000000
r=0.04
t=30

A=5,000,000e^(0.04*30)
A=5,000,000e^(1.2)
A=16600584.613683
8 0
3 years ago
Read 2 more answers
Shiloh has to earn at least $200 to meet her fundraising goal. She has only 100 cakes that she plans to sell at 5 dollars each.
kakasveta [241]
Here is the inequality you can enumerate:

5x >= 200, this means the money you sold for cakes must be larger or equal to your goal

x <= 100, this means you cannot sell more than 100 cakes, because you only have 100 cakes

Solve for them, you will get: 40 <= x <= 100
5 0
3 years ago
Rephrase in contrapositive form:
miv72 [106K]

Step-by-step explanation:

Consider the provided information.

For the condition statement p \rightarrow q or equivalent "If p then q"

The rule for Contrapositive is: Negative both statements and interchange them. \sim q \rightarrow \sim p

Part (A) If you are taller than 6 ft, then it is unpleasant for you to travel in economy class.

Here p is "you are taller than 6 ft, and q is "it is unpleasant for you to travel in economy class".

It is given that Your contrapositive must not contain explicit references to negation. Assume that the negation of "unpleasant" is "pleasant".

Contrapositive: If it is pleasant for you to travel in economy class then you are not taller than 6 ft then.

Part (B) "If x ≥ 0 and y ≥ 0 then xy ≥ 0" where x, y are real numbers.

Here p is "xy≥ 0, and q is "x ≥ 0 and y ≥ 0"

The negative of xy≥ 0 is xy<0, x ≥ 0 is x<0 and y ≥ 0 is y<0.

Remember negative means opposite.

Contrapositive: If xy < 0 then x<0 and y<0.

8 0
2 years ago
Nessa had $50 n her savings and it increased by 20%. How much money is in her account?
vredina [299]

Answer:

$60

Step-by-step explanation:

If it is increasing annually then next year the savings will be $50+20% of $50

=>$50+$10

=>$60

4 0
2 years ago
Read 2 more answers
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