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3 years ago

A person has 20 coins consisting of dimes and quarters if the total amount of money is $4.70 how many quarters are there

Mathematics

1 answer:

aalyn [17]3 years ago

6 0

18 quarters and 2 dimes

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(1) Solve this system using the substitution method: y = 2x – 3; y = (1/2)x - 4

Darya [45]

Answer:

X=2

Step-by-step explanation:

y= 2x- 3

1/2x= 2x-3

1/2x-2x= -3

x-4x= 2*-3

-3x=-6

x=2

8 0

3 years ago

What info is required

Pie

Answer:

AB=BC

Step-by-step explanation:

you need another included side for SAS and AB and VC work

5 0

4 years ago

Simplify completely the quantity 14 times x to the 5th power times y to the 4th power plus 21 times x to the third power times y

timofeeve [1]

We have to simplify the given expression:

$\frac{14x^5y^4+21x^3y^2}{7x^3y}$

Dividing the terms of the numerator by the given term of denominator individually, we get

= $\frac{14x^5y^4}{7x^3y}+\frac{21x^3y^2}{7x^3y}$

By using the laws of exponent, $a^m \div a^n = a^{m-n}$ , we get

= $\frac{7 \times 2 x^5y^4} {7x^3y} + \frac{7 \times 3 x^3y^2}{7x^3y}$

= $\frac{2 x^5y^4} {x^3y} + \frac{3 x^3y^2}{x^3y}$

= ${2 x^{5-3}y^{4-1}} + 3 y^{2-1}$

= ${2 x^{2}y^{3}} + 3 y$

Therefore, the simplification of the given expression is ${2 x^{2}y^{3}} + 3 y$ .

So, Option 3 is the correct answer.

6 0

3 years ago

Read 2 more answers

Solve for x and y<br><br>Both questions please ❤️

zimovet [89]

Answer:

1. $x=18, y=6\sqrt{10}$

2. x=108, y=180

Step-by-step explanation:

The height of the right triangle drawn to the hypotenuse is the geometric mean of two segments of the hypotenuse (two legs' projections)

1. Use this property, so

$CD^2=AD\cdot BD\\ \\6^2=2\cdot x\\ \\36=2x\\ \\x=18$

Consider right triangle BCD. By the Pythagorean theorem,

$BC^2=BD^2+CD^2\\ \\y^2=18^2+6^2\\ \\y^2=324+36\\ \\y^2=360\\ \\y=\sqrt{360}=6\sqrt{10}$

2. Consider right triangleGM*. By the Pythagorean theorem,

$G*^2=GM^2+M*^2\\ \\240^2=GM^2+192^2\\ \\GM^2=240^2-192^2=(240-192)(240+192)=48\cdot 432=144^2\\ \\GM=144$

Use this property to find x:

$GM^2=192\cdot x\\ \\144^2=192\cdot x\\ \\x=\dfrac{144^2}{192}=108$

Consider right triangle GMCup. By the Pythagorean theorem,

$y^2=x^2+GM^2\\ \\y^2=108^2+144^2\\ \\y^2=32,400\\ \\y=180$

3 0

4 years ago

Will mark as brainliest if correct

stepladder [879]

Answer:

1.2

Step-by-step explanation:

5*1.2=6

3 0

3 years ago

Read 2 more answers