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egoroff_w [7]
3 years ago
11

How do you work these out im confused

Mathematics
1 answer:
Vitek1552 [10]3 years ago
4 0

\boxed {45)} Multiply 520 students by 20% (0.20).

520 * 0.20 = 104

Multiply 104 students by 12.5% (0.125).

104 * 0.125 = 13

13 students were on the wrestling team.

\boxed {46)} dimes (d) = n + .80, nickels (n) = n

Make the dimes and nickels add up to $1.40 in an equation.

(n + .80) + n = 1.40

Combine like terms.

2n + .80 = 1.40

Subtract .80 from both sides.

2n = 0.60

Divide both sides by 2.

n = 0.30

Divide this by 0.05 (how many nickels are in a dollar).

0.30/0.05 = 6

d = n + 0.80 ⇒ 0.30 + 0.80 = 1.10

Divide this by 0.10 (how many dimes are in a dollar).

1.10/0.10 = 11

There are 6 nickels and 11 dimes in the bank.

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F(x) = x^2 . What is g(x)?​
ss7ja [257]

Answer:

g(x) = (1/4x)^2

Step-by-step explanation:

Given f(x), we want to get g(x)

As we can see, the point (4,1) lies on the graph of g(x)

So the correct option will be the one where g(4) = 1

Let us take a look at the second option

g(x) = (1/4x)^2

Here,

g(4) = (1/4 * 4)^1 = 1^1 = 1

8 0
3 years ago
Can anyone please help
dangina [55]
 a        b
---  =  ----
 b        c

The fact that the ratios are equivalent in no way implies that a = c.  FALSE
7 0
3 years ago
The price of an item yesterday was $115. Today, the price rose to $184. Find the percentage increase.
chubhunter [2.5K]

Answer:

60%

Step-by-step explanation:

184 - 115 = 69

\frac{69}{115} =.6\\\\

.6 × 100 = 60%

115 + 60% = 69

4 0
4 years ago
Help help help help help
nydimaria [60]

Answer:

<FSM=92

Step-by-step explanation:

5x+32=7x+8 (vertically opposite angles are equal)

  • 7x-5x=32-8
  • 2x=24
  • x=24/2
  • x=12

so <FSM =7x+8=7×12+8=92

3 0
3 years ago
Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4
Julli [10]

Answer:

(m + 2)^{2} - m^{2}  - 12 = 4(m - 2)

Step-by-step explanation:

Step 1:

Write the expression

(m+2)^{2} - m^{2}  - 12

Step 2: Expand (m + 2)^{2}

(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2}  - 12\\m^{2} + 2m + 2m + 4 - m^{2}  - 12

Step 3: Collect similar terms

m^{2}  - m^{2}  + 4m + 4 - 12\\4m - 8

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2}  - m^{2} -  12 is a multiply of 4 because the expression is equal to 4(m-2)

3 0
3 years ago
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