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mylen [45]
3 years ago
7

Olga has $40 in her wallet. She has one more $5 bill than $10 bills, and two more $1 bills than $5 bills. If Olga has only three

types of bills, how many bills of each denomination does she have?
Mathematics
1 answer:
Scrat [10]3 years ago
5 0

Answer:

Number of $10 bills = 2

Number of $5 bills = 3

Number of $1 bills  = 5

Step-by-step explanation:

Given:

Total amount = $40

Number of $10 bills = x

Number of $5 bills = x + 1

Number of $1 bills = x + 1 + 2 = x + 3

Find:

Number of each bills

Computation:

10(x) + 5(x+1) + 1(x+3) = 40

10x + 5x + 5 + x + 3 = 40

16x = 32

x = 2

Number of $10 bills = x = 2

Number of $5 bills = x + 1 = 3

Number of $1 bills  = x + 3 = 5

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I want to know how to solve multi step equation
Anastasy [175]

We are given:

4x+10=7x+16

Our goal in solving for any variable, in this case is x, we need to isolate x on one side of the variable. Let's start by subtracting 7x from both sides, which will cancel the +7x on the right side. We are then left with:

-3x+10=16

Now, we want to move that +10 to the other side so our x is all by itself. Let's subtract 10 from both sides, which will cancel the +10 on the right leaving us with:

-3x=6

Since we cannot have a coefficient when solving for x, we need to divide both sides by -3.

\frac{-3x}{-3}={\frac{6}{-3}

When we divide, our answer is:

x=-2

5 0
3 years ago
Read 2 more answers
so i just did a math quiz and i was wondering if im trying to do Equations Involving Addition what to do i thought i was doing g
wlad13 [49]

What do you need help clarifying? Did you want to go over the questions you missed? (:

4 0
3 years ago
Read 2 more answers
What is 7 7/9 divided by 4/7
e-lub [12.9K]

Answer:

4 44/49

Step-by-step explanation:

7 7/9 is 70/9

then u use 70/9 multiply by 7/4(I call it keep, change, flip method for division of fraction)

You keep the 1st fraction and because it is a mixed fraction, changing it to improper fraction is easier to solve it later on.

after that, you change the division sign to multiply sign(÷ to ×)

then you flip the 2nd fraction, which means 7/4 becomes 4/7

So overall it becomes 60/7 × 4/7 =240/49,4 44/49 as a mixed fraction.

Answer is 4 44/49

5 0
3 years ago
X+y=0.5<br> x-y=1<br> elimination meathod
user100 [1]

Answer:

x=0.75, y=-0.25

Step-by-step explanation:

We can add the two equations to eliminate y and solve for x.

x+y+x-y=0.5+1

2x=1.5

x=0.75

Now, we can find for y by using substitution:

x+y=0.5 (given)

0.75+y=0.5

y=-0.25

Hope this helps :)

8 0
3 years ago
Plz help asap......................................
ziro4ka [17]

Option B:

Law of cosine, two sides and the included angle are known.

Solution:

Let us first know the law of cosines and law of sines.

Law of cosine:

If we know the sides a, b and the included angle θ, then we can find the third side c. This is known as the law of cosine.

c^2=a^2+b^2-2abcos\theta

Law of sine:

The sides of a triangle are to one another  in the same ratio as the sines of their opposite angles.

$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

Given ∠P and the sides r, q are known.

<u>To find the value of p:</u>

Option A: Law of cosines, all sides are known.

It is false by the above definition of law of cosine.

Option B: Law of cosine, two sides and the included angle are known.

It is true by the above definition of law of cosine.

Option C: Law of sines, all sides are known.

It is false, because one angle is given in question.

Option D: Law of sines, two angles and the included side are known.

It is false, because two angles are not given.

Option B is the correct answer.

Hence the answer is "Law of cosine, two sides and the included angle are known".

7 0
3 years ago
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