MATHEMATICS MIDDLE SCHOOL

A jar contains 65 coins, all of which are nickels and dimes. The total value of the coins in the jar is $5.40. How many nickels / dimes are in the jar?

Answers

Answer 1

Answer:

Answer:

43 dimes, 22 nickels

Step-by-step explanation:

n + d = 65....this is just dealing with the total number of coins

0.05n + 0.10d = 5.40....this is dealing with the actual $ amount...nickels are worth 0.05 and dimes are worth 0.10

n + d = 65....n = 65 - d

now we sub that back into our other equation

0.05(65 - d) + 0.10d = 5.40

3.25 - 0.05d + 0.10d = 5.40

-0.05d + 0.10d = 5.40 - 3.25

0.05d = 2.15

d = 2.15 / 0.05

d = 43 <==== 43 dimes

n + d = 65

n + 43 = 65

n = 65 - 43

n = 22 <=== 22 nickels

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What is the total amount of the trees produced that day

Answers

Answer:

5 gallons

Step-by-step explanation:

$(3)/(4)+(6)/(8)+(20)/(8)+1\n\n=(3*2)/(4*2)+(6)/(8)+(20)/(8)+1\n\n=(6)/(8)+(6)/(8)+(20)/(8)+1\n\n=(6+6+20)/(8)+1\n\n=(32)/(8)+1\n\n=4+1\n\n=5$

Step-by-step explanation:

total amount of the trees produced that day=

$3 * (1)/(4) + \: \: 2 * (3)/(8) + \: \: 4 * (5)/(8) + \: \: 1$

$(3)/(4) + (3)/(4) + (5)/(2) + 1$

$(3 + 3 + 10 + 4)/(4)$

$(20)/(4)$

5 gallons

How can you use what you know about place value to find what marks score could be?

Answers

4 or less give it a rest 5 or more raise the score

Which of the following integers is the least -5 + (-2) + -5 divided by (-2) and -5 * (-2) or -5

Answers

Answer:

-5

Step-by-step explanation:

The first one -5 + -2 + -5 divided by -2 equals to -12 divided by -2 which equals to 6

The second one is -5 * -2 which equals to 10

-5 is a negative number so it is the smallest integer. Integers can be negative, zero, or positive

The quotient of a number and -9 increased by 10 is 11.Translate the sentence into an equation. then find the number that is described in the sentence.
I would like you to use the two-step equation process please.

Answers

so the division of a number and -9 or
x/-9

+10=11 or

(x/-9)+10=11
subtract 10 from both sides
x/-9=1
multiply both sides by -9
x=-9

Your equation would look like this . . .

n/-9 + 10 = 11

*solve by subtracting 10 from both sides, and then multiplying both sides by -9

n = (11 + 10)*-9 = -9

n = -9

What is the length of AB.

Answers

To find the length of AB in triangle ABC with $BAC = BCA = 50^\circ$ , apply the Law of Sines. Solving for x, we find x = 3. Substituting this into AB = 4x, the length of AB is 12 units, corresponding to answer (d).

To find the length of AB, we can use the Law of Sines in triangle ABC:

$(AB)/(\sin BAC) = (BC)/(\sin BCA)$

Substitute the given values:

$(4x)/(\sin 50^\circ) = (2x + 6)/(\sin 50^\circ)$

Cancel out $\sin 50^\circ$ from both sides:

4x = 2x + 6

Subtract 2x from both sides:

2x = 6

Divide by 2:

x = 3

Now, substitute x = 3 back into AB = 4x:

$AB = 4 * 3 = 12$

So, the correct answer is (d) 12.

Applying the Law of Sines to triangle ABC with angles $BAC = BCA = 50^\circ$ , we find x = 3. Substituting into AB = 4x, the length of AB is 12 units. The Law of Sines relates the lengths of sides in a triangle with the sine of their opposite angles, enabling the determination of AB as 12 units (option d).

For more questions on triangle :

brainly.com/question/1058720

#SPJ6

think of it like this
4x=2x+6
subtract two from 4
2x=6
x=3

Can someone help please? i'm desperate1. A father and his young toddler are walking along the sidewalk. For every 3 steps
the father takes, the son takes 5 steps just to keep up. What is the ratio of
the number of steps the father takes to the number of steps the son takes? Add
labels to the columns of the table and place the ratio into the first row of
data. Add equivalent ratios to build a ratio table.

2. What can you say about the values of the ratios in the table?

(p.s the image attached is for question 1)

Answers

Answer:

3:5 is the ratio.

Step-by-step explanation:

The ratio of the number of steps of father to number of steps of son is 3:5.

The table forms as follows:

Steps by father Steps by son

3 5

6 10

9 15

12 20

15 25

a) The ratio of the number of steps of father to number of steps of son will be 3:5.

b) The table forms as follows:

father son

3 5

6 10

9 15

12 20

15 25

a) We can continue finding equivalent ratios by multiplying both sides of the ratio by different numbers, such as 3, 4, or any other value.

Multiply the first term by 2 to get 3 * 2 = 6. Multiply the second term by 2 to get 5 * 2 = 10.

- The equivalent ratio is 6:10.

In the ratio table, we can observe that the values of the ratios are always in the form of a fraction or as a simplified fraction.

=The ratios we have found so far, such as

3:5 and 6:10, = 3/5 and 3/5 respectively.

Thus the ratio of the number of steps of father to number of steps of son is 3:5.

b) The table forms as follows:

father son

3 5

6 10

9 15

12 20

15 25

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ3

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