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mrs_skeptik [129]

2 years ago

15

John has 30 marbles , 18 of which are red and 12 of which are blue. Jane has 20 marbles, all of them either red or blue. If the

ratio of the red marbles to the blue marbles is the same for both John and Jane, then John has how many more blue marbles than Jane?

1 answer:

morpeh [17]2 years ago

4 0

12/30 = percentage of blue marbles = 40%
40% of 20 =8
12-8 =4
John has 4 more blue marbles

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Find the area and the circumference of a circle with diameter 3 ft.

Zigmanuir [339]

Step-by-step explanation:

circumference of a circle

2×pi×r

area of a circle

pi×r²

r (radius) = diameter/2 = 1.5ft

we shall assume pi to be 3.14

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3 years ago

A chemist has two alloys, one of which is 5% gold and 20% lead and the other which is 30% gold and 50% lead. How many grams of e

dmitriy555 [2]

The amount of the first alloy is 450 grams and the amount of the second alloy is 30 grams.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A chemist has two alloys, one of which is 5% gold and 20% lead and the other which is 30% gold and 50% lead.

Let's suppose the x is the amount of the first alloy and y is the amount of the second alloy:

We can make two linear equation in two variables:

0.05x + 0.3y = 31.5 ...(1)

0.2x + 0.5y = 105 ...(2)

After solving the above two linear equations by substitution method, we get:

x = 450 grams

y = 30 grams

Thus, the amount of the first alloy is 450 grams and the amount of the second alloy is 30 grams.

Learn more about the linear equation here:

brainly.com/question/11897796

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3 0

2 years ago

The equation $a^7xy-a^6y-a^5x=a^4(b^4-1)$ is equivalent to the equation $(a^mx-a^n)(a^py-a^2)=a^4b^4$ for some integers $m$, $n$

Ksivusya [100]

Let <span>simplify the equations $a^7xy-a^6y-a^5x=a^4(b^4-1)$ and $(a^mx-a^n)(a^py-a^2)=a^4b^4$ :
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<span>1) $a^7xy-a^6y-a^5x+a^4=a^4b^4$
</span>
<span>and
</span>
<span>2) $a^{m+p}xy-a^{n+p}y-a^{m+2}x+a^{n+2}=a^4b^4$ .
</span>
<span>Equate the coefficients:
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</span><span> $xy: m+p=7 \\ y: n+p=6 \\ x: m+2=5 \\ 1: n+2=4$ .</span>
Then $n=2 \\ p=4 \\ m=3$ and mnp=24.
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3 0

3 years ago

Thea and Eleanor are reading the same book. The graph shows the number of words Thea reads over time. Eleanor reads 225 words pe

Lapatulllka [165]

The slope is the rate
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and 225*2=450

answers are
Thea reads 180 words per minute.

Eleanor reads 450 words every 2 minutes.

After 1 hour of reading, Eleanor reads more words than Thea.

6 0

3 years ago

Read 2 more answers

8 es un factor de 80 si o no

PilotLPTM [1.2K]

Si 1,2,4,5,8,10,16,20,40,80

4 0

3 years ago