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3 years ago

20 is 30% of what number? If necessary, round to the nearest tenth.

Mathematics

2 answers:

Ksju [112]3 years ago

7 0

150 I believe is the answer

mario62 [17]3 years ago

7 0

20 is 30% of some number, so divide 20 by that percentage converted to a decimal:
20 / 0.3 = 66.67

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Two grapefruits and three oranges cost $1.95. Three grapefruits and two oranges cost $2.05.

geniusboy [140]

Answer:

one orange costs $0.35 and one grapefruit costs $0.45

Step-by-step explanation:

<em>let grapefruits be g , let oranges be o</em>

so first equation:

→2g + 3o = $1.95

→g = ($1.95 - 3o)/2

so second equation:

→ 3g + 2o = $2.05

→ g = ($2.05 - 2o)/3

Solving simultaneously:

→ ($2.05 - 2o)/3 = ($1.95 - 3o)/2

→ 2($2.05 - 2o) = 3($1.95 - 3o)

→ 4.1 - 4o = 5.85 - 9o

→ - 4o + 9o = 5.85 - 4.1

→ 5o = 1.75

→ o = $0.35

Therefore one orange costs $0.35

Then one grapefruit costs g → ($1.95 - 3o)/2

→ g = ($1.95 - 3(0.35))/2

→ g = 0.45

Therefore one grapefruit costs $0.45

4 0

2 years ago

F(105)=105/7 use the following functions to find f(105)

sashaice [31]

Answer:

F(105) = 15

Step-by-step explanation:

105 ÷ 7 = 15

Hope this helps!

4 0

2 years ago

Lol what do I put so stuck

Sindrei [870]

Answer:

[See Below]

Step-by-step explanation:

Look at the "Fraction" column, all the fractions in this column must add up to 1 (because the whole bag contains only Red, Green, Blue or Other coloured beads).

So we work out the sum of missing fractions: $\frac{1}{12} + \frac{1}{4} = \frac{1}{12} + \frac{3}{12} = \frac{4}{12} = \frac{1}{3}$

And so we know the fractions in the missing boxes must add up to $1 - \frac{1}{3} = \frac{2}{3}$ .

This means that the number of blue and green beads is 2/3rds of the total number of beads in the bag. There are 12+4=16 blue+green beads so

$\frac{2}{3} \times \text{Number of beads} = 16 \Rightarrow \text{Number of beads} = 24$ .

So if there are 24 beads in the bag, then the red beads are 1/12th of 24 which is 2 and the other beads are 1/4 of 24 which is 6.

Finally to complete the missing fractions: there are 12 blue beads and 24 in total so the fraction of blue beads is 12/24 = 1/2. Similarly, there are 4 green beads so the fraction of green beads is 4/24 = 1/6.

(I thought this was a very tricky question. Let me know in the comments if something doesn't make sense, or if you need more explanation on any part, or even if you spot an easier way to do it that I can't.)

5 0

3 years ago

Which ordered pair is the solution to the system of equations? {x+3y=-12, y= 1/3x-6?

Julli [10]

For this, I'll be using the substitution method. Since y = 1/3x - 6, replace the y variable in the first equation with 1/3x - 6 and solve for x:

$x+3(\frac{1}{3}x-6)=-12\\ x+x-18=-12\\ 2x-18=-12\\ 2x=6\\ x=3$