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amm1812
3 years ago
5

Roger had $1200. He bought a phone with 0.4 of the money and a helmet with 0.5 of the remaining money. What is the amount of mon

ey Roger had left?
Mathematics
1 answer:
Paul [167]3 years ago
7 0

Answer:

the remaining money is $1189.22

Step-by-step explanation:

You might be interested in
from a window 24 feet above the ground, the angle of elevation to the top of another building is 38 degrees. The distance betwee
Delvig [45]

Answer:

The  height of the building is 73.2\ ft

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

tan(38\°)=\frac{BC}{AB}

we have

AB=63\ ft

substitute and solve for BC

tan(38\°)=\frac{BC}{63}

BC=(63)tan(38\°)=49.2\ ft

Find the height of the building

The  height of the building (h) is equal to

h=BC+24=49.2+24=73.2\ ft

6 0
2 years ago
5<br> 8<br> y<br> Find the exact value of y.<br> y =
inn [45]

Answer:

y=2\sqrt{10}

Step-by-step explanation:

By applying geometric mean theorem in the given right angle,

\frac{AD}{DB}=\frac{DB}{CD}

By substituting values in the given ratio,

\frac{5}{y}= \frac{y}{8}

y^2=8\times 5

y^2=40

y=2\sqrt{10}

Exact value of y is 2\sqrt{10}.

8 0
3 years ago
Veronica has been saving dimes and quarters she has 110 coins in all and the total value is 18.50 how many dimes and quarters do
Lady_Fox [76]

This problem can be solved by the chicken rabbits method or you can just do simple algebra.

I.) Chicken and rabbits method

First assume all 110 coins are dimes and none are quarters.

We will have a total value of 11 dollars

Now for each dime we switch out for a quarter, we adds 15 cents to the total value.

18.50-11=7.50 dollars

There are 750/15=50 group of 15 cents in the 7 dollars and 50 cents.

This also meant that we need to switch out 50 dimes for 50 quarters.

So we have 50 quarters.

That first method is very good and very quick once you get the hang of it, now I'm going to show you the algebraic way to solve this.

Let's say there are x dimes and y quarters.

Set up equation

x+y=110

10x+25y=1850

Now solve multiply first equation by 10

10x+10y=1100

subtract

15y=750

y=50

Now we set the numbers of quarters to y so the answer is 50 quarters.

I personally recommend using algebra whenever you can because the practice is very important and you will eventually get really fast at setting up and solving equations. The first method is faster in this case but the second is more generalize, hope it helps.

6 0
2 years ago
Which of the following expressions are equivalent to - -a/b
riadik2000 [5.3K]

Answer:

B) -\frac{a}{-b}

Step-by-step explanation:

1. First, we have to know that two negatives equal positive.

2. Given the information above, -\frac{-a}{b} can simplify to \frac{a}{b}.

3. Let's go through each answer choice and see which one also simplifies to \frac{a}{b}.

A:

  • \frac{a}{-b}
  • -\frac{a}{b}

B:

  • -\frac{a}{-b}  
  • \frac{a}{b}

Therefore, the answer is B) -\frac{a}{-b}.

4 0
2 years ago
Round 19.432 to the nearest whole
andre [41]

The nearest whole number is 20.

4 0
3 years ago
Read 2 more answers
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