All categories

3 years ago

Amira has $80. Sasha has $40.

1 answer:

7 0

Given:
Amira = 80
Sasha = 40

Amira saves 40 per month
Sasha saves 50 per month

Let x be the number of months.
Amira = 80 + 40x
Sasha = 40 + 50x

Amira = Sasha
80 + 40x = 40 + 50x
40x - 50x = 40 - 80
-10x = -40
x = -40/-10
x = 4

Amira = 80 + 40x = 80 + 40(4) = 80 + 160 = 240
Sasha = 40 + 50x = 40 + 50(4) = 40 + 200 = 240

It would take them 4 months to have the same amount of savings.

You might be interested in

How do solve 4v-13-10v=12-24v+5

yaroslaw [1]

You get all the v's on one side by adding 24v to both sides
4v-13-10v = 12-24v +5
+24v +24v
And then you would get
4v-13-10v+24v = 12+5
Then combine like terms
18v-13=17
Then you would get v alone by adding 13 to both sides
18v-13= 17
+13 +13
That would give you
18v=30
Then divide both sides by 18 to get your final answer
18v = 30
/18 /18
Your final answer is...
V=1.66

7 0

3 years ago

Read 2 more answers

Which fraction is simplified fraction of 28/56

stepan [7]

Answer:

1/2

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The base of a solid oblique pyramid is an equilateral triangle with an edge length of s units. Which expression represents the h

aev [14]

Answer:

The height of the triangular base of the pyramid is s√3/2 units

Step-by-step explanation:

Here in this question, what we are concerned with is to calculate the height of the equilateral-triangle base of the oblique pyramid.

From the question, we are told that the equilateral triangle has a length of a units.

Let’s have a recall on some of the properties of equilateral triangles;

a. All sides are of equal lengths. Meaning side s is the length of all the sides in this case.

b. All angles are equal, meaning they are 60 degree each.

c. Dropping a perpendicular line from the top vertex to the base length will split the equilateral triangle into two right-angled triangles of angles 60 and 30 each.

So to find the height of this triangular base, we can use any of the two right angled triangles.

Kindly recall that the properties of each would be angles 30, 60 and side length s

so to calculate the height h, we can use trigonometric identities

Mathematically, the trigonometric identity we can use is the sine( side length s represents the hypotenuse, while the height h represents the opposite facing the angle 60 degrees)

Thus; we have

Sine of an angle = length of the opposite/length of hypotenuse

sin 60 = h/s

h = s sin 60

In surd form,

sin 60 = √3/2

Thus;

h = s * √3/2 = s√3/2 units

3 0

4 years ago

Two straight lengths of wire are placed on the ground, forming vertical angles. If the measure of one of the four angles formed

vitfil [10]

We have
angle 1= $72 degrees$

see the attached picture to better understand the problem

we know that
Vertical angles are congruent
 $angle1=angle3 \\ angle2=angle4$

and

adjacent angles are supplementary
 $angle2+angle1=180 \\ angle3+angle4=180$

if the measure of one of the angles is $72$ degrees and straight lines equal $180$ degrees you have to
subtract $72$ from $180$
so
$angle 2=180-72 \\ angle 2=108 degrees$

therefore
$angle 3=amgle 1 \\ angle 3=72 degrees$

$angle 4=amgle 2 \\ angle 4=108 degrees$

the answer is

the measures of the other three angles are
$108, 108 and 72 degrees$

5 0

3 years ago

Read 2 more answers

Mary spent a total of $80 at the grocery store. Of this amount, she spent $68 on fruit. What percentage of the total did she spe

Harrizon [31]

I don't know if this is right for sure but I think that it's 81.25%.

8 0

3 years ago

Read 2 more answers