1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dima020 [189]
2 years ago
8

Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The di

fference of half the number of oranges and half the number of apples is 4.
An equation created to find the number of apples Javier has in the basket will have
Mathematics
1 answer:
Doss [256]2 years ago
6 0

Number of oranges is (2a + 2)

Half the number of oranges is 1/2(2a + 2)

Half the number of apples is 1/2a

The difference between half the number of oranges and half the number of apples equals 4 looks like this:

1/2(2a + 2) - 1/2a = 4

Now solve.

1/2(2a + 2) - 1/2a = 4 (multiply 1/2 by what's inside the parenthesis)

1a + 1 - 1/2a = 4

1a + 1 -1 - 1/2a = 4 - 1

1a - 1/2a = 3

1/2a = 3

1/2a ÷ 1/2 = 3 ÷ 1/2

a = 6

He has 6 apples.

Substitute 6 into the equation for the number of oranges.

2a + 2

2(6) + 2 = 14

He has 14 oranges.

Check your work.

The difference between half the number of oranges (7) and half the number of apples (3) does indeed equal 4.

Therefore, the equation has one solution.

You might be interested in
how many ways are there for choosing 5 states from the top 10 states with the most murders if order is considered? what about if
ANEK [815]
<span>10!/5! =10*9*8*7*6=30,240;; 
If order is not considered, 10C5 =10!/5!5!=252 </span>
8 0
3 years ago
Read 2 more answers
Use the compound interest formula A =​P(1 + ​r) t and the given information to solve for r.
Dmitry [639]

Answer:

Rounding to nearest hundredths gives us r=0.06.

So r is about 6%.

Step-by-step explanation:

So we are given:

A=P(1+r)^t

where

A=2300

P=1600

t=6.

A=P(1+r)^t

2300=1600(1+r)^6

Divide both sides by 1600:

\frac{2300}{1600}=(1+r)^6

Simplify:

\frac{23}{16}=(1+r)^6

Take the 6th root of both sides:

\sqrt[6]{\frac{23}{16}}=1+r

Subtract 1 on both sides:

\sqrt[6]{\frac{23}{16}}-1=r

So the exact solution is r=\sqrt[6]{\frac{23}{16}}-1

Most likely we are asked to round to a certain place value.

I'm going to put my value for r into my calculator.

r=0.062350864

Rounding to nearest hundredths gives us r=0.06.

8 0
3 years ago
find the value of each variable in the circle to the right. the dot represents the center of the circle.
gladu [14]

We have been given an image of a circle. We are asked to find the value of each variable.

We can see that angle b corresponds to diameter of circle. We know that the measure of an angle that is inscribed to the diameter of a circle is 90 degrees . Therefore, the value of b will be 90.

we can see that angle is an inscribed angle of arc 99 degrees. We know that measure of an inscribed angle is half the measure of inscribed arc.

a=\frac{1}{2}\cdot 99

a=49.5

Therefore, the value of a is 49.5 units.

We know that measure of all angles of a triangle is 180 degrees. The measure of 3rd angle will be half the measure of c, so we can set an equation as:

a+b+\frac{1}{2}c=180

49.5+90+\frac{1}{2}c=180

139.5+\frac{1}{2}c=180

139.5-139.5+\frac{1}{2}c=180-139.5

\frac{1}{2}c=40.5

\frac{1}{2}c\cdot 2=40.5\cdot 2

c=81

Therefore, the value of c is 81.

3 0
2 years ago
What is another way to group the factors (3x2)x5
Elza [17]
3*(2*5)
You're Wlecome, 
6 0
3 years ago
F triangle abc is defined by the coordinates a(-4, -4), b(2, -2), c(0, 4) is dilated by a scale factor of 1 2 , with resulting v
Elenna [48]
The center of dilation is (4,-4)
6 0
3 years ago
Read 2 more answers
Other questions:
  • Is -253 in water deeper than -280 in water
    8·1 answer
  • Solve and graph<br><br> 1. 3x-7&gt;5<br><br> 2. -1y&lt;3
    9·1 answer
  • How many seconds are in 14 years?
    10·2 answers
  • What is the surface area of a sphere with a radius of 14 units?
    10·1 answer
  • Find the perimeter of this rectangle when l=15mm and w=8 mm
    11·2 answers
  • Solve for a <br> -3= 5a/7+4/7
    13·1 answer
  • 2x+3y+3x it has me write more but thats my whole problem lol
    12·1 answer
  • Evaluate the expression for the given value of the variable. x+1/2+5x−3/6 when x = 3
    9·1 answer
  • The angle of depression from an air traffic control tower to an airplane on the runway is 72 degrees. If the tower is 354 feet t
    8·1 answer
  • Geometry. Need help on how to solve G and H
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!