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Svetradugi [14.3K]

3 years ago

14

a collection of 27 coins consist of 20-cent and $2 coins, and has a value of $23.40. find the number of coins of each denominati

on

1 answer:

JulijaS [17]3 years ago

4 0

17 $0.20 coins = $3.40
10 $2.00 coins = $20.00

$20.00 + $3.40 = $23.40

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a man invested a total of $3,000 in two investments. he made a profit of 3% on the first investment and 4% on the second investm

klio [65]

Let the first investment be x
and second be 3000-x

so 3%of x + 4% of (3000-x) = 107
By solving x = 1300

First investment is 1300
second investment is 1700

7 0

4 years ago

What is 8 7/9 − 3 2/3 =

maks197457 [2]

[|] Answer [|]

$\boxed{5 \ 1/9}$

[|] Explanation [|]

Rewrite the equation with parts separated:

8 + 7/9 - 3 - 2/3

Solve the whole number parts:

8 - 3 = 5

Solve the fraction parts:

7/9 - 2/3

Find LCD of 7/9 & 2/3

7/9 - 6/9 = 1/9

5 + 1/9 = 5 1/9

$\boxed{[|] \ Eclipsed \ [|]}$

4 0

3 years ago

Which number line shows the solution to the inequality -2(3x-1)<8

Zigmanuir [339]

Answer:

$x > -1$

Step-by-step explanation:

Given

$-2(3x - 1) < 8$

Required

Show on a number line

$-2(3x - 1) < 8$

Divide through by -2

$\frac{-2(3x - 1)}{-2} < \frac{8}{-2}$

$3x - 1 > -4$

Add 1 to both sides

$3x -1 + 1 > -4 + 1$

$3x > -3$

Divide through by 3

$x > -1$

<em>See Attachment for number line</em>

6 0

3 years ago

Can you please help me out

Taya2010 [7]

The bag contains,

Red (R) marbles is 9, Green (G) marbles is 7 and Blue (B) marbles is 4,

Total marbles (possible outcome) is,

$\text{Total marbles = (R) + (G) +(B) = 9 + 7 + 4 = 20 marbles}$

Let P(R) represent the probablity of picking a red marble,

P(G) represent the probability of picking a green marble and,

P(B) represent the probability of picking a blue marble.

Probability , P, is,

$\text{Prob, P =}\frac{required\text{ outcome}}{possible\text{ outcome}}$ $\begin{gathered} P(R)=\frac{9}{20} \\ P(G)=\frac{7}{20} \\ P(B)=\frac{4}{20} \end{gathered}$

Probablity of drawing a Red marble (R) and then a blue marble (B) without being replaced,

That means once a marble is drawn, the total marbles (possible outcome) reduces as well,

$\begin{gathered} \text{Prob of a red marble P(R) =}\frac{9}{20} \\ \text{Prob of }a\text{ blue marble =}\frac{4}{19} \\ \text{After a marble is selected without replacement, marbles left is 19} \\ \text{Prob of red marble + prob of blue marble = P(R) + P(B) = }\frac{9}{20}+\frac{4}{19}=\frac{251}{380} \\ \text{Hence, the probability is }\frac{251}{380} \end{gathered}$

Hence, the best option is G.

5 0

1 year ago

Kylie explained that (–4x + 9)2 will result in a difference of squares because (–4x + 9)2 = (–4x)2 + (9)2 = 16x2 + 81. Which sta

LUCKY_DIMON [66]

The expression (-4x + 9)^2 cannot be equal to (-4x)^2 + 9^2 because it is actually equal to the product of two factors (3 + 2sqrt x) (3- 2 sqrt x). One cannot use obviously distributive property. Hence the answer to this problem should be C. as she did not understand both perfect square trinomial and did not determine the product

4 0

3 years ago

Read 2 more answers