Samantha bought 5 apples and an orange for $4.90. Jake bought 3 apples and 6 oranges for $6.45. Find the cost of an orange in dollars.

Answers

Answer 1

Answer:

Each apple costs 0.85 and each orange costs 0.65.

Step-by-step explanation:

5a+o = 4.90

3a+6o = 6.45

Multiply the first by 3 and the second by 5 and subtract the second from the first.

15a+3o = 14.70

15a+30o = 32.25

27o = 17.55

o=0.65

Plug back in the first.

5a+0.65=4.90

5a=4.25

a=0.85


Related Questions

please help asap I need help I am being timed​

Answers

17. 8,16,24,32
18. 14
19. 18 and 7.2
20 -11 and 5

how do I solve this proof? ​

Answers

Answer:

Step-by-step explanation:

EF = GH                      given

FG = FG                      a segment is always equal to itself.

EG + FG = GH + GF   Equals added to equals result in a pair of equals.

PLease answer ASAP thank you

Answers

Answer:

It 12 units!!!!

Step-by-step explanation:

-8+8=0

0+4=4

8+4=12!!!

gl ;)

so, I'm having some trouble so here's the problem
emila wrote the equation of a line in point slope as show here
(y+4)=3(x+2)
what is emeilas equation in slope-intercept form

Answers

Answer:

well you add then it saids equal to 3 you times that plus 2

y= 3x + 2. if you need the work out, i’ll be more than happy to send it!

Plz help me and solve step by step
Thank you.

Answers

Answer:

$41.40 is what can be spent on each game

Step-by-step explanation:

17.50 is taxes 8.75+8.75=17.50 17.50 minus 100 =$82.50 is the max that can be paid without passing 100     82.80/2= $41.40

every 3 hours a machine produces 60 baskets. what is the unit rate?

Answers

Answer:

60/3 is unit rate of 20

Step-by-step explanation:

At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of
silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.
Here is a system of equations that represent the constraints in the situation.
x + y = 4.25
16.90x + 4y = 36.35
1. What does the solution to the system represent?
2. Find the solution to the system of equations. Explain or show your reasoning.
Can someone fr help me on this like i want a answer like now

Answers

Answer:

Silk = x = 1.5 yards

Cotton = y = 2.75 yards

Step-by-step explanation:

x + y = 4.25

16.90x + 4y = 36.35

1. The solution to the equation represent number of yards of silk and number of yards of cotton bought.

2.

x + y = 4.25 (1)

16.90x + 4y = 36.35 (2)

Multiply (1) by 4

4x + 4y = 17 (3)

16.90x + 4y = 36.35 (2)

Subtract (3) from (2)

16.90x - 4x = 36.35 - 17

12.90x = 19.35

Divide both sides by 12.90

x = 19.35 / 12.90

= 1.5

x = 1.5 yards

Substitute x = 1.5 yards into (1)

x + y = 4.25

1.5 + y = 4.25

y = 4.25 - 1.5

= 2.75

y = 2.75 yards

Silk = x = 1.5 yards

Cotton = y = 2.75 yards

WILL MARK YOU BRAINLIEST SHOW YOUR WORK PLZ!!! 6-7

Answers

Answer:

Number 6 is x=65 number 7 is x=-1

Step-by-step explanation:

I just did number 6 on another persons page but ill repeat it as best i can

You're going to set to X plus 2 = 3X -63 then you are going to subtract 2X from both sides which will leave you 2 equals X -63 and then you add 63 to both sides which will leave you x equals 65

Number 7

2X plus 20=6X plus 24

1st Subtract 2X from both sides which will leave you with 20 = 4X plus 24

2nd you're going to subtract 24 from both sides Which will leave you with negative 4 = 4X

Then you're going to divide both sides by 4 which will leave you with X equals negative one

Rachel was answering #4 on the last mini assessment
and below is her answer. What was the mistake she
made?
Evaluate the expression a + b-C, a = 0, b = 8, and c = -6.
a + b-C
0 + 8 - 6
2

What did she do wrong?

Answers

C is -6 so when you subtract -6 from 8 you get 14

Answer:

What she did wrong, was 6 is a negative number, and she subtracted it like a positive. The real answer is 14

Step-by-step explanation:

Sorry if this is sloppy, I was using a touchpad on a chromebook

The following triangle is isosceles. Find the measure of angle EFD.

Options:

28 degrees
44 degrees
20 degrees
36 degrees

Answers

Answer:

44°

Step-by-step explanation:

Because the triangle is isosceles, 4x+20 and 8x-4 would be equal

4x+20 = 8x - 4

4x + 20 - 4x = 8x - 4 - 4x

20 = 4x - 4

20 + 4 = 4x - 4 + 4

24 = 4x

x = 6

m∠EFD = 8x - 4

m∠EFD = 8(6) - 4

m∠EFD = 48 - 4

m∠EFD = 44°

what is 5/8 divided by 1/4

2/5
3/4
1 1/4
2 1/2​

Answers

2 1/2

set it up as 5/8 • 1/4
then flip 1/4 to make it 4/1

then just multiply across to get 20/8

which simplifies to 2 1/2

Two times the sum of a number and 8 subtracted from the number equals 6. What is the number that makes this statement true?

Answers

Answer:

7

Step-by-step explanation:

let the no. be 'x'

By question,

2x-8=6

or, 2x =6+8

or,2x = 14

or,x = 7

therefore, the no. is 7.

HELP TRYNA GTSSS RN STRESSFUL DAYY

Answers

Answer:

y = 3x - 3

Step-by-step explanation:

y = mx + b

m = slope

slope = y2 - y1/x2 - x1

slope = 6 - 3/3 - 2

slope = 3/1

slope = 3

y = 3x + b

b = y-intercept

y-intercept is y when x = 0

rise over run

If slope = 3/1, then subtract 3 from y and 1 from x until x = 0

(2, 3) = 3/2

3 - 3/2 - 1 = 0/1 = (1, 0)

0 - 3/1- 1 = -3/0 = (0, -3)

x = 0

y-intercept = -3

y = 3x + - 3

negative + positive = negative

y = 3x - 3

Jonah and his brother ran a race. Jonah reached the finish line in 68.49 seconds and his brother reached the finish line 4.66 seconds later. How long did it take Jonah's brother to run the race?

Answers

73.15 is your answer

Answer:

73.15 seconds or one min and 3.15 seconds

Step-by-step explanation:

x = amount of time it took Jonah to run the race

68.49 + 4.66 = x

x = 73.15 seconds

Can anyone help me plz thanks

Answers

Answer:I believe it is C

Step-by-step explanation:

Its -2 then gets decreased by 5

Answer:

[tex]optoin \: c. \: is \: correct[/tex]

plz prove the given equation!!!​

Answers

Answer:

Please see the attached picture for the full solution.

My messaging aren't working. What do i do to fix it because every time it says i have a message i look and it's not their.

Answers

Answer:

This happens to me also. When i click on it it can say go to inbox and sometimes it will show up there. If not then it will sometimes transfer the ¨messages ¨ into your regular notifications with the bell symbol.

Step-by-step explanation:

Hope this helps

Have a wonderful day :)and here are free pts to make your day better <3
12 x 9 = ?

Answers

Answer:

its 108

and tysm thats so sweet

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

slope of the table will make branliest

Answers

Answer:

m = 3

Step-by-step explanation:

Take 2 points from the table:

I will use (2,9) and (4,15).

Apply the slope formula:

[tex]m=\frac{rise}{run}=\frac{15-9}{4-2}=\frac{6}{2}=3[/tex]

Hope this helps.

Please Help!! Brainliest Answer !! Thank you

Answers

Answer:

The answer is D 2.4

Just work it out

Answer:

D)2.4

Step-by-step explanation:

Using cosine rule

a²=b²+c²-2bc cos A

a²=1.2²+1.4²-2(1.2)(1.4)cos 134°

a=2.4

Hope my answer can help you

Please let my answer as Brainliest!!! TQ

What is the interest earned on an invest of $590 at a simple interest rate of 12.8% over 3 years

Answers

Answer:

$ 226.56

Step-by-step explanation:

Calculation:

First, converting R percent to r a decimal

r = R/100 = 12.8%/100 = 0.128 per year,

then, solving our equation

I = 590 × 0.128 × 3 = 226.56

I = $ 226.56

The simple interest accumulated

on a principal of $ 590.00

at a rate of 12.8% per year

for 3 years is $ 226.56.

590 · 12.8% = 590 · .128 = 75.52

75.52 · 3 = 226.56

Hope this helped!

What is the slope and y intercept

Answers

Answer:

The slope is 1

The y-intercept is 2

Step-by-step explanation:

Hope this helps, mind giving me the brainliest? :)

Answer:

You h

Step-by-step explanat

1 is the slope, and 2 is the y intercept. TRUST ME.

D=m/v solve for v. Please help kinda urgent

Answers

Answer:

v = m/D

Step-by-step explanation:

Step 1: Write equation

D = m/v

Step 2: Multiply both sides by v

Dv = m

Step 3: Divide both sides by D

v = m/D

A fruit juice company includes 1.226 ounces of juice in a 6.75 ​-ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT ​juice?

Answers

Answer:

5.524 i think

Step-by-step explanation:

It'd be 5.524 becuase you just subtract 1.226 from 6.75

Dontina is ordering uniforms for her employees. The company Dontina is ordering from charges $18 per uniform and a shipping fee of $7.

Based on this information, which function can be used to represent the relationship between the total cost, c, and the number of uniforms Dontina orders, n?


c = 18n + 7

c = 7n + 18

c=18n−7

c=7n−18

Answers

Answer:

c = 18n + 7

Step-by-step explanation:

Given the following data;

Total cost is represented by c

Number of uniforms ordered is represented by n

Shipping fee = $7

Cost per uniform = $18

The total cost is equal to the amount of money spent on ordering each uniform ($18) plus the shipping costs ($7).

Translating the word expression into an algebraic equation, we have;

c = 18n + 7

For example, if Dontina is ordering 10 uniforms for her employees.

n = 10

Substituting the value of n into the equation, we have;

c = 18(10) + 7

c = 180 + 7

c = $187

Therefore, the total cost incurred by Dontina in ordering 10 uniforms for her employees is $187.

Line that is parallel to y=2x−4 and passes through the point (1,1).

Answers

Answer:

2x-6

Step-by-step explanation:

Answer:

y = 2x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 4 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To find c substitute (1, 1) into the partial equation

1 = 2 + c ⇒ c = 1 - 2 = - 1

y = 2x - 1 ← equation of parallel line

Jack is on a carousel at the rodeo. The diameter of the carousel is 80 feet. Find the position of Jack's seat in point form from the center of the carousel after a rotation of 210 degrees. Explain why the angle you use in the equation is not 2100. Write the two equations you used to set up the problem. the position of Jack's seat is: _______________________Give the exact answer (no rounding).

Answers

Answer:

1) The reason, the 210° angle is not used is because, the values of the trigonometric ratios for 210° is the same as the values of the trigonometric ratios for 30°

2) The two equations used to set up the problem are;

The y-coordinate value, y₁ = -40×sin(30°) = -20 feet

The x-coordinate value, x₁ = 40×cos(30°) = 34.64 feet

3) The coordinates of the point location of Jack's seat = (20×√3, -20)

Step-by-step explanation:

The given information are;

The diameter of the carousel = 80 feet

The rotation of the carousel = 210°

Assuming Jack seat was initially on the left side of the center of the carousel and the carousel rotates clockwise, we have;

Final position of the carousel = 210 - 180 = 30° South of East

The radius of the carousel = (80 feet)/2 = 40 feet

The slope of the location of Jack seat = -tan(30°)

The y-intercept = The center = 0

y - y₁ = m·(x - x₁)

The y-coordinate value, y₁ = -40×sin(30°) = -20 feet

The x-coordinate value, x₁ = 40×cos(30°) = 20×√3 = 34.64 feet

The equation in point and slope form is therefore;

y - (-20) = -√3/3×(x -  34.64)

y + 20 = -x·√3/3 + 20

y = -x·√3/3

The reason, the 210° angle is not used is because, the values of the trigonometric ratios for 210° is the same as the values of the trigonometric ratios for 30°

The two equations used to set up the problem are;

The y-coordinate value, y₁ = -40×sin(30°) = -20 feet

The x-coordinate value, x₁ = 40×cos(30°) = 34.64 feet

The coordinates of the point location of Jack's seat = (20×√3, -20)

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
maximum height reached by the rocket, to the nearest tenth of a foot.
y = -16x2 + 119x + 73

Answers

Answer:

294.3 ft

Step-by-step explanation:

Given function

y = -16x^2 + 119x + 73

This is quadratic function  

It reaches the maximum value at vertex, which is calculated by the formula:

x = -b/2a

Substituting values

x = -119/2*(-16) = 3.71875

y-value of same point is

y = -16*3.71875^2 + 119*3.71875 + 73 = 294.265625  ≈ 294.3 ft

So maximum height is 294.3 ft

The equation we have is:

[tex]y = { - 16x}^{2 } + 119x + 73[/tex]

This is equation of a parabola that opens down.

To find the maximum point or the maximum height, we need to find the vertex of the parabola.

First, let's define variables:

A will be the coefficient of the x squared.

b is the coefficient of the x and

C is the independent term:

[tex]a = - 16 \\ b = 119 \\ c = 73[/tex]

The vertex of will have the following x coordinate:

[tex]x = - \frac{b}{2a} [/tex]

Substituting the values of a and b:

[tex]x = - \frac{119}{2( - 16)} [/tex]

Solving the operations:

[tex]x = - \frac{119}{ - 32 } \\ x = 3.71875[/tex]

The next step is to substitute this x value into our equation to find the maximum height y:

[tex]y = { - 16x}^{2} + 119x + 73 \\ \\ substituting \: x = 3.71875 \\ \\ y = - 16(3.71875)^{2} + 119(3.71875) + 73[/tex]

Solving the operations:

[tex]y = - 16(13.8291) + 442.49555 + 73 \\ \\ y = 294.23[/tex]

Rounding to the nearest tenth (1 decimal place)

y=294.2

Answer: 294.2 feet.

Solve −2(2x + 5) − 3 = −3(x − 1)

Answers

Answer:

x= -16

Step-by-step explanation:

distribute -2

-2 * 2x =-4x

-2 * 5 = -10

-4x - 10 -3 = -3 (x-1)

distribute -3

-3 * x = -3x

-3 * -1 = 3

-4x - 10 -3 = -3x + 3

combine like terms

-4x -13 = -3x + 3

-4x + 3x = -x

3 + 13 = 16

-x = 16

divide by -1

x = -16

Answer:

x = -16

Step-by-step explanation:

-2(2x + 5) - 3 = -3(x - 1)

-4x - 10 - 3 = -3x + 3

-4x - 13 = -3x + 3

-x = 16

x = -16   <--- This is the answer

Hope this helps!

2(m-n)=pz

Solve for m?​

Answers

Answer:

m = [tex]\frac{pz+2n}{2}[/tex]

Step-by-step explanation:

Given

2(m - n) = pz ← distribute parenthesis on left side

2m - 2n = pz ( add 2n to both sides )

2m = pz + 2n ( divide both sides by 2 )

m = [tex]\frac{pz+2n}{2}[/tex]

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