Benjamin has 16 coins in his wallet consisting of quarters and dimes. The total worth of
the coins is $3.10. Benjamin created two linear equations to model this scenario, where
q represents the number of quarters in his wallet, and d represents the number of
dimes.

Answers

Answer 1

Answer:

6 dimes & 10 quarters

Step-by-step explanation:

Here are the two equations. The first one deals with the numbers of coins. The second one deals with the values of the coins.

d + q = 16

0.1d + 0.25q = 3.1

Solve the first equation for d and plug into the second equation.

d = 16 - q

0.1(16 - q) + 0.25q = 3.1

1.6 - 0.1q + 0.25q = 3.1

0.15q = 1.5

q = 10

d + q = 16

d + 10 = 16

d = 6

Answer: 6 dimes & 10 quarters

Answer 2

Benjamin has 6 dimes and 10 quarters.

What is linear equation?

A linear equation is  defined as an equation in which the highest power of the variable is always one.

Given that two equations,

d + q = 16

0.1d + 0.25q = 3.1

Where q represents the number of quarters in his wallet, and d represents the number of dimes.

d = 16 - q

0.1(16 - q) + 0.25q = 3.1

1.6 - 0.1q + 0.25q = 3.1

0.15q = 1.5

q = 10

d + q = 16

d + 10 = 16

d = 6

Hence Benjamin has 6 dimes and 10 quarters.

Learn more about linear equation

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Related Questions

a
Solve. Add, subtract, multiply or divide.
Anosh collects feathers. His father started his collection by giving him 7
feathers. Since then he has collected 28 more feathers. How many feathers does
Anosh have?​

Answers

Answer:

Anosh has 35 feathers.

Step-by-step explanation:

Initially, he had 0 feathers.

His father started his collection by giving him 7 feathers.

After his father gave him, he has 7 feathers.

Since then he has collected 28 more feathers. How many feathers does Anosh have?​

So now, he has 7 + 28 = 35 feathers.

Anosh has 35 feathers.

bro please help me ill give brainliest to the first one to answer correctly. its for some iready assessment

Answers

Answer : B


Explanation : trust me bro

Answer:

The answer should be B

Step-by-step explanation:

Car A traveled farther at the same rate as Car B but A travelved more so  the answer is B

Simplify the expression below.
12a−8−5a+12

Answers

Step-by-step explanation:

Given

12a - 8 - 5a + 12

= 7a + 4

Hope it will help :)

Answer:

7a + 4

Step-by-step explanation:

First, let's rewrite this expression to combine like terms:

12a – 8 – 5a + 12  — I bolded the constants and underlined the expressions with variables

12a – 5a – 8 + 12  — it looks a little easier regrouped, doesn't it?

The last two terms are easy, right?

12 – 8 = 4  — simplify with subtraction

We'll focus on the first two terms now. Let's rewrite the terms with variables attached to make the subtraction easier:

a(12 – 5) = a(7) = 7a

We could also think of it this way: multiplication is just repeated addition.

12a = a + a + a + a + a + a + a + a + a + a + a + a (we just add a to itself 12 times)

5a = a + a + a + a + a (we just add a to itself 5 times)

Subtracting this expression would then look like this:

a + a + a + a + a + a + a + a + a + a + a + a – (a + a + a + a + a)

a + a + a + a + a + a + a + a + a + a + a + aaaaaa

Five of the a values will cancel out, and to show this, we can rewrite the expression once more, like this:

aa + aa + aa + aa + aa + a + a + a + a + a + a + a

The five a values cancel out and leave us with this:

a + a + a + a + a + a + a

How many a values are added together now? Seven of them, right? We add a to itself 7 times. We can then rewrite that expression as 7a.

Using the [12 – 8 = 4] expression from above, we add the 4 to the 7a to find our final answer: 7a + 4

I hope this helps increase your understanding of the concept! Have a great day!

Solve the equation. n/10+8=15

Answers

Answer:

n = 70

Step-by-step explanation:

n/10 + 8 = 15

n + 80 = 150

n = 150 - 80

n = 70

Answer:

n = 70

Step-by-step explanation:

1) Subtract  8 from both sides of the equation

n/10 + 8 - 8 = 15 - 8

2) Simplify

n/10 = 7

3) Multiply all terms by the same value to eliminate fraction denominators

10 · n/10 = 10 · 7

4) Simplify

n = 70

so your answer is n = 70. Hope that helps!

Complementary angles

Find the value of x in each right angle.

I cannot get this wrong

Answers

Answer:

The value of x = 28°

Step-by-step explanation:

Explanation:-

Complementary angles:-

Two angles are called Complementary angles when their measures add to 90 degrees

         ∠A + ∠B = 90°

     (x+40)° + 22° = 90°

        x + 62° = 90°

        x = 90 - 62

        x = 28°

Read the picture carefully...there can be more than ONE ANSWER

Answers

Answer:

D

Step-by-step explanation:

There are 22 third-graders in Sally's town. If there are 4 more boys than girls, how many girls are there?

Answers

Answer:

22-4=18

Step-by-step explanation:

Answer:

9 girls

Step-by-step explanation:

First we know from the information there are 22 kids in total.

Next we know 11+11=22 so one number would be 2 more than the other.

So 13+9=22

Therefore, there is 9 girls in Sally's town.

4x9? i have a math test on times

Answers

Answer:

the answer is 36

.......

Answer:

4x9? i have a math test on time

Step-by-step explanation:

Is 36

4+4+4+4+4+4+4+4+4= 36

2
Find the quotient when x + 11x + 18 is divided by
x +9

Answers

Answer:

(12x + 18)/(x+9)

Step-by-step explanation:

We have: (x + 11x + 18)/(x+9). First simplify this equation by adding like terms.

(12x + 18)/(x+9), which is your answer. This is the final answer because we can't simplify this expression anymore.

Please help!!! Will give brainliest

Answers

Answer:

option C

Step-by-step explanation:

option C is the correct answer of this question.

plz mark my answer as brainlist plzzzz vote me.

hope this will be helpful to you.

Find the surface area of the rectangular prism with a length of 3 cm, a width of 2 cm, and a height of 6 cm

Answers

The surface area is 72cm

Classify by degree of polynomial:
3x3 - 6x

Answers

Answer:

3x(x2−2)

Step-by-step explanation:

HELP ME!!!!!!!!!!!!!!

Answers

Answer:

i wanna say it would be 1,735-3%y

Out of numbers: 5, 7, 21, 25, 28, 35, 42, 56, 75, and 80, choose those which are multiples of 4 or 7

Answers

Answer:

Multiples of 4= 28

Multiples of 7= 7,21,28,35,42

Step-by-step explanation:

I hope this helps, and have a great day! :)

Please please help me in the question someone

Answers

Answer:

perimeter is  34 cm

Step-by-step explanation:

Notice you need to find the value of two sides whose measure is not given. The first one is horizontal and 10 cm - 4 cm = 6 cm in length

The second one is vertical with a measure of 7 cm - 4 cm = 3 cm

Then, the addition of all sides going clockwise becomes:

7 + 10 + 4 + 6 + 3 + 4 = 34 cm

Josefina fue al banco para cambiar un cheque de $5000. La cajera le entregó 39
billetes, unos eran de $100 y otros de $200; ¿Cuántos billetes de $100 y cuantos de
$200 recibió Josefina?

Answers

Respuesta: 28 billetes de 100 y 11 billetes de 200

Explicación paso a paso:

X=39-y

200(39-y)+100y=5000

7800-200x+100y=5000

-100y=2800

Y=2800/100

Y=28 billetes de 100

X=39-28

X=11 billetes de 200

Which inequality is true for r = 20?

Answers

2r=40 i this this one is the correct

Plz helpppp!!!!! Much love

Answers

Answer:

B.

Step-by-step explanation:

plz help
............​

Answers

Hi there!

[tex]\large\boxed{x < 2}[/tex]

[tex]\frac{4x + 6}{7} < 2[/tex]

Begin by multiplying both sides by 7:

[tex]4x + 6 < 2 * 7 \\\\4x + 6 < 14[/tex]

Subtract 6 from both sides to isolate for x:

[tex]4x + 6 - 6 < 14 - 6\\\\4x < 8[/tex]

Divide both sides by 4 to solve for x:

[tex]4x/4 < 8/4\\\\x < 2[/tex]

Simplify -3a + 5b - c given a = 2, b = -1 and c= 10

Answers

Answer:

-21

Step-by-step explanation:

-3a + 5b - c

-3(2)+5(-1)-(10)=-21

Look at the graph below: First line joins ordered pairs negative 4, 3 and 2, negative 3. Second line joins negative 4, negative 3 and 2, 3. Part A shaded above first and second line. Part B shaded below first line and above second line. Part C shaded below first and second lines. Part D shaded above first line and below second line. Which part of the graph best represents the solution set to the system of inequalities y ≥ x + 1 and y + x ≤ −1? (5 points) Question 10 options: 1) Part A 2) Part B 3) Part C 4) Part D

Answers

Answer:

It's Part B

Step-by-step explanation:

Got it right!

harriet is 2 years less than a thirnd of her brothers ace. Harriet is 3 years ols. How old is her brother?​ please help right now

Answers

Answer:

her brother is 15 years old

Step-by-step explanation:

let 'b' = her brother's age

Harriet is 3 years old but Harriet is also '1/3b - 2'

3 = 1/3b - 2

5 = 1/3b

b = 5(3) or 15

a) Dati cinci exemple de numere intregi mai mici ca zero.​

Answers

Answer:

Numerele întregi pozitive sunt toate numerele întregi mai mari decât zero: 1, 2, 3, 4, 5, .... Numere întregi negative sunt toate opusele acestor numere întregi: -1, -2, -3, -4, -5, .... Nu considerăm că zero este un număr pozitiv sau negativ. Pentru fiecare număr întreg pozitiv, există un număr întreg negativ, iar acești numere întregi se numesc opuse. De exemplu, -3 este opusul lui 3, -21 este opusul lui 21 și 8 este opusul lui -8. Dacă un număr întreg este mai mare decât zero, spunem că semnul său este pozitiv. Dacă un număr întreg este mai mic decât zero, spunem că semnul său este negativ.

Step-by-step explanation:

Given the linear equation & its graph, what is the slope?​

Answers

Answer:

Slope: 5/3

Step-by-step explanation:

Linear equation:

y = mx + b

m is the slope

so if,

y = 5/3x - 4

5/3 is the slope.

Hope this helps :)

Let me know if there are any mistakes!!

Natalie earned a grade of 72% on her multiple choice history final that had a total of 200 problems. How many problems on the final exam did Natalie get wrong?

Answers

Answer:56

Step-by-step explanation:

72% of 200= 144

200-143=56

Find the perimeter of a square with side lengths of 3x + 1. Use the distributive property to write an expression.

Answers

expression =
p= 4(3x+1)

Two sides of a right triangle measure 2 units and 4
units.

What is the area of the square that shares a side with the third side of the triangle?
units^2
2
squared

Answers

Hey there!

The answer is √20 or approximately 4.47

We can use the Pythagoreon Theorem, which is [tex]a^2 +b^2=c^2[/tex]. [tex]a[/tex] and [tex]b[/tex] are the names of the two sides, and [tex]c[/tex] is the name of the hypotenuse leg, or the longest side. We will plug the numbers into the formula, and solve:

[tex]2^2+4^2=c^2\\4+16=c^2\\20=c^2\\4.47...=c[/tex]

Have a terrifcly amazing day!

what is the equation for line b​

Answers

Answer:

y=1/2x+1

Step-by-step explanation:

you can literally do rise over run to get the answer

9/10 times 1/5 PLS HURRY I ONLY HAVE 2 MINUTS

Answers

0.18 or as a fraction: 9/50
0.18 or 9/50. it depends which one your asking for.

Write a whole number that round to 2000 if we are rounding to the nearest thousaand

Answers

Answer:2200

Step-by-step explanation:

Easy peesy lemon squezzy

1999 easy peasy lemon Squeezy
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