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 difference 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

Answers

Answer 1

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.

Answer 2

Answer:

it is one solution

Step-by-step explanation:


Related Questions

pls help plz pls plz

Answers

Answer: c

i’m pretty sure it’s c

Answer:

B

Step-by-step explanation:

15 rows with 7 cookies is just multiplying, 15*7, to get how many cookies that's in the tray. There's also 9 trays, so we multiply (15*7) by 9

A construction company requires 25,400 bricks
for a job. If it allows 2% more bricks for breakage, how
many bricks must it order?

Answers

25,908 bricks must be ordered

the product of k and three

Answers

Answer:

3k

Step-by-step explanation:

How do you simplify
x2+2x-8
x2+6x+8

Answers

Answer:

x4+8x

Step-by-step explanation:

x2+x2=x4

2x+6x=8x

(-8)+8=0

You cant add x4 and 8x so thats your final answer

-2 = 3у – 18 — 5y
Solve for y

Answers

-2=-2y-18

2y=-18+2

2y=-16

Y=-8

Find the 84th term of the arithmetic sequence -5,15,35, ...

Answers

The 84th term of the sequence is 1655

How to determine the 84th term?

The arithmetic sequence is given as:

-5, 15, 35, .....

The above sequence has the following parameters:

Initial value, a = -5Common difference, d = 20

The nth term of the sequence is:

Tn = a + (n - 1) * d

So, we have:

T84 = -5 + (84 - 1) * 20

Evaluate

T84 = 1655

Hence, the 84th term of the sequence is 1655

Read more about sequence at:

https://brainly.com/question/7882626

A tank of gas cost about $32.25 on a midsize car if the tank holds 15 gallons what is the cost per gallon?

Answers

Answer:

$483.75

Step-by-step explanation:

32.25 x 15 = 483.75

If I'm wrong, please kill me ;-;

If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?

Answers

Answer:

[tex]r=4[/tex]

Step-by-step explanation:

We know that the slope of the line is -1.

We also know that the line passes through (-9, 3) and (-10, r).

We want to find the value of r.

First, let's figure out the equation of our line. We can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).

Substitute:

[tex]y-(3)=-1(x-(-9))[/tex]

Simplify:

[tex]y-3=-(x+9)[/tex]

Distribute:

[tex]y-3=-x-9[/tex]

Add 3 to both sides. So, our equation is:

[tex]y=-x-6[/tex]

It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:

[tex]r=-(-10)-6[/tex]

Evaluate for r. Distribute:

[tex]r=10-6[/tex]

Subtract:

[tex]r=4[/tex]

So, the value of r is 4.

And we're done!

explain how polygon A is congruent to polygon B

Answers

Answer:

polygon B is just polygon B flipped to the side

Step-by-step explanation:

polygon B is just polygon B flipped to the side

please help measuring !

Answers

180-102=78

78=2x+12
66=2x
33=x

The answer is 33

write an equation of the line that passes through the points (1,3) and (3,-5)

Answers

If you have anymore questions let me know. I’m sorry if it seems a little bit confusing, just follow the numbers 1,2, and 3.

Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much?


Richard’s Distance Past the Start Line
Time (minutes)
5
10
15
20
25
Distance (kilometers)
2.8
3.4
4.0
4.6
5.2

A graph titled Gloria's Distance Past the Start Line has time (minutes) on the x-axis and Distance (kilometers) on the y-axis. A line goes through points (5, 0.8), (10, 1.6), (15, 2.4), (20, 3.2) and (25, 4).
Gloria’s time was 0.5 minutes faster.
Richard’s time was 0.5 minutes faster.
Gloria’s time was 2.5 minutes faster.
Richard’s time was 2.5 minutes faster.

Answers

Answer:

Gloria's time was 2.5 minutes faster

Step-by-step explanation:

How do I order 7.21 7.2 7.083

Answers

Answer:

Step-by-step explanation:

Least to greatest:

7.083, 7.2, 7.21

Greatest to least:

7.2, 7.2, 7.083

multiply express your anwser in simplest form

Answers

Answer:

1/6

Step-by-step explanation:

9: 9,18,27,36,45,54,63,72,81,90

10: 10,20,30,40,50,60,70,80,90,100

Since, 90 is the LCM of 9 and 10 that turns into your denominater then your equation turns into this...

5/90 x 3/90

The denomineter stays the same so you get 90 then 5 x 3 equals 15 so you get 15 and in total that gives you 15/90. Divide the top and bottom by the greatest number that will divide both numbers exactly which gives you 1/6

HOPE THIS HELPED :D

Select the locations on the number line to plot the points 5, 3, and −2

Answers

Answer:

To find the points, remember the definition of distance or difference.

First, the 5 is easy to find, is in the extreme right.

Now, the next number is 3.

The difference between 3 and 5 is:

3 - 5 =  - 2

This means that the place of the 3 will be 2 units at the left of the 5.

The next number is -2

The difference between -2 and 5 is:

-2 - 5 = -7

This means that the -2 is located 7 units at the left of the 5.

Below is an image of the located points in a number line.

1,200. / 500 =

2
2.4
2.400

Answers

Answer:

It's 2 on edge 2020

Step-by-step explanation:

Answer:

A) 2

Step-by-step explanation:

edge 2023

What value of x is in the solution set of 2(3x-1) 24x 6? a-10 b-5 c-3 d 1​

Answers

Answer:

-1

Step-by-step explanation:

Step 1: Write inequality

2(3x - 1) ≥ 4x - 6

Step 2: Solve for x

Distribute 2: 6x - 2 ≥ 4x - 6Subtract 4x on both sides: 2x - 2 ≥ -6Add 2 to both sides: 2x ≥ -4Divide both sides by 2: x ≥ -2

Step 3: Find

-10 ≥ -2? No

-5 ≥ -2? No

-3 ≥ -2? No

-1 ≥ -2? Yes

If m What is the correct answer

Answers

Answer:

a

Step-by-step explanation:

AD=CD

hope this helped!

what function does this graph represent

Answers

Answer:

it would be b

Step-by-step explanation:

-.2 will cause reflection so eliminate a and c

if you do -1 than it will translate down so it has to be b

Answer:

f(x)= 0.2 (x - 2)^2 + 1

Step-by-step explanation:

I did the test.

Is 5 x n - 3 the correct algebraic expression for five times the difference of a number and three

Answers

Answer:

5(n-3)

Step-by-step explanation:

There would be parenthesis because you'd subtract three from the number first.

What is the mode of the following data values?
54, 78, 16, 26, 16
O A. 26
O B. 38
O C. 16
O D. 48

Answers

Answer: C. 16

Step-by-step explanation:

The mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency.

Answer:

C

Step-by-step explanation:

because in the given data the number which is 16 is repeated twice so it means it is the mode. Because when we say mode it is the most used number im the given date

simplify (7x)*exponent 2*

Answers

(7x)^2 simplified is 49x^2 or 49 and x raised to the second power, since 7•7 is 49, and we dont know the value of x, your answer is 49x^2

Answer:

49 x^2

Step-by-step explanation:

Simplify the following:

(7 x)^2

Hint: | Distribute exponents over products in (7 x)^2.

Multiply each exponent in 7 x by 2:

7^2 x^2

Hint: | Evaluate 7^2.

7^2 = 49:

Answer:  49 x^2

The graph shows the equation y = 2x – 3. Use the slider for a to move the vertical line on the graph. Based on the vertical line test, is this equation a function? Why or why not?

Answers

Answer:

Yes. The vertical line never touches the graph at more than one point at the same time.

Step-by-step explanation:

this is the plato and edmentum answer

(make sure this is the right question)

As the vertical line touches the graph of the equation y = 2x - 3 it is a function.

What is a graph?

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

Given, An equation y = 2x - 3.

Now, If we draw a vertical line and it touches the graph at only one point

the equation is a function but if the vertical line touches the graph at more than two points the equation is not a function.

learn more about graphs here :

https://brainly.com/question/2288321

#SPJ2

Is ( 2,7) a solution of 2y = 3x + 8

Answers

Answer:

Yes

Step-by-step explanation:

2(7) = 3(2) + 8

14 = 6+8

14 = 14

From house to his job as a janitor, you can walk in a straight line. In the afternoon he has to stop twice on his way home. His first stop is at the bodega to get something to eat. The bodega is exactly halfway between his house and the school. The second stop will be at OWL Barbershop for his haircut. The OWL Barbershop location partitions the way from Wilfred’s house and job in the ratio 3:1. The coordinates of his house are H (-3, -4) and his job coordinates are J(5, 0). Please use B to represent the Bodega and O to represent OWL Barbershop.

Answers

Answer:

The coordinates of Bodega is B(1,-2)

The coordinates of OWL Barbershop is O(3,-1)

Step-by-step explanation:

Coordinates of House H = (-3,-4)

Coordinates of Job J= (5,0)

His first stop is at the bodega to get something to eat. The bodega is exactly halfway between his house and the school.

Let B to represent the Bodega

Now to find coordinates of Bodega we will use use mid point formula since  bodega is exactly halfway between his house and the school.

[tex]x=\frac{x_1+x_2}{2} , y = \frac{y_1+y_2}{2}\\(x_1,y_1)=(-3,-4)\\(x_2,y_2)=(5,0)\\x=\frac{-3+5}{2} , y = \frac{-4+0}{2}\\x=1, y = -2[/tex]

So, The coordinates of Bodega is B(1,-2)

Now we are given that The OWL Barbershop location partitions the way from Wilfred’s house and job in the ratio 3:1.

Le O to represent OWL Barbershop.

We will use section formula

[tex]x=\frac{mx_2+nx_1}{m+n} , y =\frac{my_2+ny_1}{m+n}\\(x_1,y_1)=(-3,-4)\\(x_2,y_2)=(5,0)\\m:n=3:1\\x=\frac{3(5)+1(-3)}{3+1} , y =\frac{3(0)+1(-4)}{3+1}\\x=3,y=-1[/tex]

So, The coordinates of OWL Barbershop is O(3,-1)

31,900 divided by 44

Answers

Answer:

725

Step-by-step explanation:

use a CALCULATOR -_-

Answer:

725

Step-by-step explanation:

Joel used a half gallon of paint to cover 84 square feet of wall. He has 932 square feet of wall to paint. How many gallons of paint should he purchase?

I will give u a Brainly <33 :)

Answers

Answer:

6 Gallons of Paint

Step-by-step explanation:

If you use a half gallon of paint to cover 84 square feet, how much could you paint with a full gallon? Lets figure it out:

[tex]\frac{1}{2} = 84[/tex]

multiply both sides by 2 so that the 1/2 gallon is now 1 gallon:

[tex]\frac{1}{2} * 2 = 84 * 2[/tex]

1 gallon = 168 square feet

now, how many gallons does it take to paint 932 square feet?

Divide 932 by 168:

[tex]\frac{932}{168} = 5.548[/tex]

Just like you cant buy 2.374 cheeseburgers, you cant buy 5.548 gallons of something so we round up and will have some paint left over once the job is done. So 6 gallons is the answer

The amount of gallons needed is 5.55gallons approximately

If Joel used a half-gallon of paint to cover 84 square feet of wall, this can be expressed using the equality sign as:

1/2 gallons = 84 square feet

In order to find the number of gallons for 932 square feet of wall to paint, we will write:

x = 932 square feet

Divide both expressions

1/2x = 84/932

2x = 932/84

2x = 11.09

x = 11.09/2

x = 5.55 gallons

This shows that the amount of gallons needed is 5.55gallons approximately

Learn more here: https://brainly.com/question/3796978

How do you do this question?

Answers

Answer:

D and E

Step-by-step explanation:

y = (x + 1)²

If x = t + 1, then y = (t + 1 + 1)² = t² + 4t + 4.

If x = e²ᵗ + 1, then y = (e²ᵗ + 1 + 1)² = e⁴ᵗ + 4e²ᵗ + 4.

If x = cos t, then y = (cos t + 1)² = cos²t + 2 cos t + 1.

If x = t − 1, then y = (t − 1 + 1)² = t².

If x = t, then y = (t + 1)² = t² + 2t + 1.

8 - 3x4 + 6/2

what’s the answer? help plz i really need help

Answers

Answer:

3 2/5

Step-by-step explanation:

8-3x4

ok well do 3x4 that is 12

so do 12 minus 8 which is 4. and 4 as a fraction is 2/5 so

do 6/2 plus 2/5

which is.....

.....

3 and 2/5

some helps plssss i need help

Answers

あかさたなはまやら、ゎらやまたなかあさまらゎゎら。やまはたさやあわあわいをあらさほあわま、しは新たはさたさあらあ、マヌカらあをまたなたはタラタラやはまん

Answer:

Yess

Step-by-step explanation:

If you multiply all the numbers together you get 39690000. And the square root of that number is 6300. So it is a perfect square. If you did 6300² = 39690000.

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