MATHEMATICS HIGH SCHOOL

Mukul has $3.75 in quarters, dimes and nickels in his pocket. he has five more dimes than quarters and nine more nickels than quarters. how many of each coin are in his pocket?

Answers

Answer 1

Answer:

Answer:

There are 7 coins of quarters , 12 coins of dimes and 16 coins of nickels .

Step-by-step explanation:

Mukul has $3.75

1 dollar = 100 cents

3.75 dollar = 375 cents

Let he has x coins of quarters

Since we are given that he has five more dimes than quarters.

So, Dimes = x+5

Since we are given that he has nine more nickels than quarters .

So, nickels = x+9

Now 1 quarter = 25 cents

So, x quarter = 25 x cents

1 dime = 10 cents

So, (x+5) dimes = 10(x+5) cents

1 nickel = 5 cents

So, (x+9) nickels = 5(x+9) cents.

Since he had 375 cents in total .

$\Rightarrow 25 x+ 10(x+5) +5(x+9)=375$

$\Rightarrow 25 x+ 10x+50 +5x+45=375$

$\Rightarrow 40 x+95=375$

$\Rightarrow 40 x=375-95$

$\Rightarrow 40 x=280$

$\Rightarrow x=(280)/(40)$

$\Rightarrow x=7$

Thus there are 7 coins of quarters

Coins of dimes = x+5=7+5=12

Coins of nickels = x+9=7+9 =16

Hence there are 7 coins of quarters , 12 coins of dimes and 16 coins of nickels .

Answer 2

Answer: Their should be 18 dimes and 8 quarters

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Algebra question
3-x=5-3x

Answers

Answer:

x=1. Hope this helps!!!

Alan is putting weed killer on a field to get it ready for planting. the directions on the can say to use 4/5 of a quart for each acre of land. how much weed killer will alan need for two fields one that is 22 1/2 acres and one is that 38 1/4 acres?

Answers

If you would like to know how much weed killer will Alan need for two fields, you can calculate this using the following steps:

two fields: 22 1/2 acres + 38 1/4 acres = 45/2 + 153/4 = 90/4 + 153/4 = 243/4 = 60.75 acres

4/5 of a quart = 0.8 quart ... 1 acre of land
x quarts = ? ... 60.75 acres of land

0.8 * 60.75 = 1 * x
x = 0.8 * 60.75
x = 48.6 quarts

The correct result would be 48.6 quarts of weed killer.

Answer:

48 3/5

Step-by-step explanation:

Two similar triangles are congruent always, sometimes, or never?

Answers

Two similar triangles are never congruent. Similar triangles have the same shape, but their sizes may differ. They have corresponding angles that are equal and corresponding sides that are proportional to each other.

However, being similar does not guarantee that they are congruent.

Congruent triangles, on the other hand, have both the same shape and size. Their corresponding angles and sides are equal in length. Congruent triangles are essentially identical to each other.

In summary, similarity implies the same shape but different sizes, while congruence implies both the same shape and size. Therefore, two similar triangles are never congruent.

To know more about triangles:

brainly.com/question/29249755

#SPJ6

congruency means, exact twins, completely exact.

similarity means, they must look the same only, one can be larger or smaller than the other, the angles must be the same, but the lengths can be longer or shorter and that's ok.

if two figures are congruent, they are also similar, but if one is larger than the other, they're still similar, though not congruent anymore.

Multiply (5x2 x − 4)(x 2). 5x3 x2 − 4x − 8 5x3 11x2 − 2x − 8 5x3 10x2 − 4x − 8 5x3 20x2 2x − 8

Answers

(5x^2 + x - 4)(x + 2) = x(5x^2 + x - 4) + 2(5x^2 + x - 4) = 5x^3 + x^2 - 4x + 10x^2 + 2x - 8 = 5x^3 + 11x^2 - 2x - 8

Answer:

5x^3 + 11x^2 - 2x - 8

Step-by-step explanation:

took the test hope this helps please mark brainlisets

2. El perimetro de un rectangulo es 64 pies. Su largo es 12 pies mas que 3 veces su ancho. Halla las dimensiones del rectangulo

Answers

Ancho= x
Largo= 3x+12 ("12 pies más (adición) que 3 veces (multiplicación) su ancho (x)")

En el problema incluyen el perímetro (la suma de todos los lados de una figura). En un rectángulo, los lados opuestos son congruentes, así que para calcular el valor de x, tenemos que sumar nuestras ecuaciones.

(3x+12)+(3x+12)+x+x=64
8x=64-24
x=40/8
x=5

Luego lo único que queda hacer es substituir el valor de x en cada ecuación para calcular los valores que te piden.

At a back to school sale, backpacks are marked down 15%. If the original price was $34, what is the sale price?

Answers

There are two ways to do this problem the first: multiply the original price by the percentage marked down ($34x.15=5.10) then subtract 5.10 from 34 and that gives you $28.90. The second way: subtract 15% from 100% (85%) and multiply $34 by .85 which will give you $28.90. :) whichever is easiest :)

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