Justin and his children went into a grocery store and he bought $18 worth of bananas and mangos. Each banana costs $0.60 and each mango costs $1.50. He bought 2 more bananas than mangos. Graphically solve a system of equations to determine the number of bananas, x, and the number of mangos, y, that Justin bought.

Write an answer in y=mx+b form, please.
Two equations.

Answers

Answer 1

Answer:

x=10 and y= 8.

Step-by-step explanation:

Given that the cost of 1 banana = $0.60

Cost of 1 mango = $1.50.

Total cost= $ 18  

Here, x be the number of bananas and y be the numbers of mangos,

As the number of bananas is 2 more than the number of mangos,

So, x=y+2

[tex]\Rightarrow y=x-2 \cdots(i)[/tex]

Cost of x bananas [tex]=\$ 0.60 \times x[/tex]

Cost of y mangos [tex]=\$ 1.50 \times y[/tex]

Total cost = 0.6x+1.5y

[tex]\Rightarrow 18 = 0.6x+1.5y\\\\\Rightarrow 1.5y=18-0.6x\\\\\Rightarrow y= 12 - 0.4 x \cdots(ii).[/tex]

Solving both the equations (i) as well as (ii), graphically as shown in the figure by plotting both the graphs.

Both the graphs intersect at the point (10,8) as shown in the graph.

So, the solution of both the equations is, (x,y)=(10,8). i.e

The number of bananas = x= 10 and

the number of mangos = y = 8.

Justin And His Children Went Into A Grocery Store And He Bought $18 Worth Of Bananas And Mangos. Each

Related Questions

How would you graph the solution to 3x ≤ -15?

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Answer:

I would put a shade over the region of x <= -5.

Step-by-step explanation:

The look of the graph would be a shaded rectangle over the line x = -5.

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Draw a closed circle on -5 and shade to the left

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Answer:

x=18

Step-by-step explanation:

Add up all the angles and then equal them to 180

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Answer:

Using eliminating method then adding equation 1 and 2 give

X= 4and y =1

1/2 (X+6)= 18 what is the value of x ​

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Answer:

The absolute value for x would be 30

X=30

What is the x intercept of 4y+9x=18

Answers

Answer:

Step-by-step explanation:

step 1. 4y+9x=18

step 2. 4y=-9x+18

step 3. idk

Answer:

(2,0)

plug 0 for y and solve

Rotate this figure 90 degrees counterclockwise.
pls answer quick 20 points :D

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Answer: It's number 4.

which of the following quadrilaterals are always parallelogram? select all that apply

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Answer: square, rectangle and rhombus

Step-by-step explanation:

the tens digit is two less than the ones digit and sum of the digits is 8.

Answers

The answer is 35 !!!

Answer:

35

Step-by-step explanation:

please help its urgent​

Answers

9514 1404 393

Answer:

  they are in the same place on the number line

Step-by-step explanation:

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Brantley tosses a ball out of a window that is 75 feet in the air. Its initial velocity is 12 feet per second. The path of the ball is represented by h=-16t^2+12t+75. How long does it take for the ball to hit the ground to the nearest hundredth?

Answers

Answer:

[tex]t = 2.57[/tex]

Step-by-step explanation:

Given

[tex]h=-16t^2+12t+75[/tex]

Required

Determine the time to hit the ground

The ground is at point 0.

So, to solve this; we simply set [tex]h =0[/tex], then calculate the value of t

[tex]0=-16t^2+12t+75[/tex]

Multiply through by -1

[tex]0=16t^2-12t-75[/tex]

Reorder

[tex]16t^2-12t-75 = 0[/tex]

Solve using quadratic formula:

[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 16; b = -12; c = -75[/tex]

[tex]t = \frac{-(-12)\±\sqrt{(-12)^2 - 4*16*(-75)}}{2*16}[/tex]

[tex]t = \frac{12\±\sqrt{144 +4800}}{32}[/tex]

[tex]t = \frac{12\±\sqrt{4944}}{32}[/tex]

[tex]t = \frac{12\±70.31}{32}[/tex]

Split:

[tex]t = \frac{12+70.31}{32}[/tex] or [tex]t = \frac{12-70.31}{32}[/tex]

[tex]t = \frac{82.31}{32}[/tex] or [tex]t = \frac{-58.31}{32}[/tex]

But time (t) can't be negative;

So, we make use of only

[tex]t = \frac{82.31}{32}[/tex]

[tex]t = 2.57[/tex]

Hence, the time to hit the ground is 2.57 seconds

PLEASE HELP QUICK
The costume jewelry and accessories for the show are bought from sales racks at two different stores on different days. Use x to represent the price of each item on the sales rack at the first store and y to represent the price of each item on the sales rack at the second store.

On the first day, the students spent $30 on 4 items from the first store and 7 items from the second store. On the second day, the students spent $22 on 3 items from the first store and 5 items from the second store. On the third day, the students need to buy 10 items from the first store and 17 items from the second store.

What is the amount of money the students will need on the third day? Find your answer by creating and solving a system of linear equations based on the first day and the second day. Explain your reasoning.

Answers

Answer:

74

Step-by-step explanation:

Using linear equations, we are given two equations from the questions:

4x +7y=30 from day one and 3x +5y=22 from day two

Multiply the first equation by 3 and second by 4 giving us

12x +21y=90 and 12x +20y=88. Minus both equations.

12x - 12x +21y - 20y= 90 - 88, Gives you y=2,

You can now use the value of y to find x.

4x + 7y = 30

4x + 7(2)= 30

4x + 14= 30. Minus 14 on both sides giving you

4x=16. Divide both sides by 4.

x=4

Now use both values to find how much money is needed on the third day.

10x + 17y

=10(4) + 17(2)

=40 +34

=74

Solve the equation. m + (-22) = -25

Answers

Answer:

m=-3

Step-by-step explanation:

move the -22 to the other side by adding 22 on both sides:

m-22+22=-25+22

Simplify:

m=-3

Answer: m=-3

Hope this helps!

Find the slope and y-intercept for the table.



slope:

y-intercept:

Answers

Answer:y is 60 slope is -10

Step-by-step explanation:

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Find f(-2).

Answers

Answer:

-4

Step-by-step explanation:

The value of the function evaluated at [tex]x = -2[/tex] is -4.

The horizontal axis represents the set of the domain of the function, whereas the vertical axis is for the set of the range of the function. In this exercise, we need to need to find the value on the vertical axis that corresponds with a given value of the horizontal axis ([tex]x = -2[/tex]).

By direct inspection, we conclude that [tex]f(-2) = -4[/tex].

We kindly invite you to see this problem related to functions: https://brainly.com/question/12431044

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Answers

2x-1
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1. You get paid $8.00 an hour to babysit. They will increase your pay 25% because
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Answers

Go with d it should be wright if not sorry

Entrance to a skatepark costs $6 per vehicle, plus $2 per person in the vehicle.

Is the relationship between the number of people and the total entrance cost a proportional relationship? EXPLAIN HOW YOU KNOW.

Hint: Create a table to organize the information.​

Answers

Answer:

Yes, it is a proportional relation ship because 6 and 2 are equivalent to each other.

Step-by-step explanation

Which graph shows a function with a zero of –5?

Answers

Answer:

Look for the y-intercept where the graph crosses the y-axis. Look for the x-intercept where the graph crosses the x-axis. Look for the zeros of the linear function where the y-value is zero.

Step-by-step explanation:

Where’s the graph.........

Marcus can choose between a monthly salary of $1,500 plus a 5.5% commission of sales or $2,000 plus a 3% commission of sales. He expects about $8,000 in sales each month. Which salary option should he choose?

Answers

Answer:

2,000 plus a 3% commision :))

Step-by-step explanation:

The Captain of a boat is steering at
a heading of
327° at 18 mph.
The current is flowing at a rate of 4mph
at a heading of 60°. Find the course to the
nearest deguse of the boat.

Answers

Answer:

59.97 º at 18.23 mph

Step-by-step explanation:

Write an equation of a line that safely lands the plane
PLEASE HELP!!!
LOTS OF POINTS
GIVE AN EXPLANATION FOR ME!!!!

Answers

Wait I’m confused what exactly are we suppose to do like what do u mean
Find the slope.
m=(y2-y1)/(x2-x1)
Plug in the y-coordinates of each of the ordered pairs. That is 4 and -2
Plug in the x-coordinates of each of the ordered pairs. That is -4 and 5
m=(4-(-2))/(-4-5)
m=6/-9
m=-2/3
Now that you know the slope, you want to take one of the ordered pair and plug them into the equation y=mx+b. I’ll take (-4,4). You want to find the b.
4=-2/3(-4)+b
4=8/3+b
4/3=b
So, the slope is -1/3 and the y-intercept is 4/3.
Equation: y=-2/3x+4/3

4. Estimate.
12 x 11
36 x 29
84 x 27

Answers

Step-by-step explanation:

12*11=132

36*29=1044

84*27=2268

Sandra eats about 2000 calories per day with LaTeX: \frac{1}{4}1 4 of her calories from fat and LaTeX: \frac{1}{5}1 5 from carbohydrates. How many total calories does Sandra get from both fat and carbohydratesSandra eats about 2000 calories per day with LaTeX: \frac{1}{4}1 4 of her calories from fat and LaTeX: \frac{1}{5}1 5 from carbohydrates. How many total calories does Sandra get from both fat and carbohydrates

Answers

Answer:

Calories from both fat and carbohydrates = 900 calories/day

Step-by-step explanation:

Number of calories eaten by Sandra per day = 2000 calories/day

Calories from fat = [tex]\frac{1}{4}[/tex] of the total number of calories per day

OR

Calories from fat = [tex]\frac{1}{4}\times 2000 = 500\ calories/day[/tex]

Calories from carbohydrates = [tex]\frac{1}{5}[/tex] of the total number of calories per day

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Calories from carbohydrates = [tex]\frac{1}{5}\times 2000 = 400\ calories/day[/tex]

To find the total number of calories from both fat and carbohydrates, we need to add the calories from fat and calories from carbohydrates as calculated above.

Calories from both fat and carbohydrates = Calories from fat + Calories from carbohydrates = 500 + 400 = 900 calories/day

The distance between A (-4, 2) and B(4, 2) is.

Answers

Answer:

8 spaces away

Step-by-step explanation:

hope this helped :-)

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Answers

Send me your email and I’ll email it to you.

Tell whether the equation is linear. If so, enter the equation in standard form and give the values of A,B, and C.
1. y = 4x +9
2. 5x =6y - 2 ​

Answers

Answer:

1. A=1, B=4, C=9

2.A=5 B=6, C=-2

For f(x) = -x + 8, which statement is true?

Answers

The answer is B I took the test

Esteban stands on a dock 1.25 yd above the water. A fish swims below Esteban at -4.61 yd from the surface of the water. How many yards apart are Esteban and the fish?

Answers

Answer: 5.86yd

Step-by-step explanation:

From the question, we are informed that Esteban stands on a dock 1.25 yd above the water and that a fish swims below Esteban at -4.61 yd from the surface of the water.

The distance between Esteban and the fish can be calculated by subtracting -4.61 yd from 1.25 yd. This will be:

= 1.25 yd - (-4.61 yd)

= 1.25 yd + 4.61 yd

= 5.86 yd

Helpp with bothhhh!!!!!

Answers

Answer:

3. x = 5

4. -5 1/25

Step-by-step explanation:

-3x+5=-10

Subtract the 5 from both sides...

-3x = -15

Divide by -3

x = 5

For 4, it's just multiplying.

-2 4/5 in improper form is -14/5

1 4/5 in improper form is 9/5

-14/5 x 9/5 is -126/25

-126/25 can be -5.04 or -5 1/25.

Answer:

3. a (x=5)

4. -126/25

Step-by-step explanation:

3. -3x+5=-10

-3x=-10-5

-3x=-15

x=5

4.  -(-2 4/5) x 1 4/5

(-14/5) x 9/5

= -126/25

what about this one? can this be answered please? : )

Answers

Answer:

c. y=7x-2

Step-by-step explanation:

hope this can help

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