Ja'kniya and Alayjah are shopping at the Apple Store. Ja'kniya bought 4 screensavers and 3 Otterboxes for $29. Alayjah bought 6 screensavers and 2 Otterboxes for $26. How much did each screensaver and each Otterbox cost?

Answers

Answer 1

Answer:  Each screensaver costs $2 and each Otterbox costs $7.

Step-by-step explanation:

Let x = Cost of each screensaver and y = cost of each Otterbox.

As per given, 4x+3y=29       (i)

6x +2y = 26  (ii)

Divide both sides of (i) by 2 and the multiply it by 3 on sides , we get

9x+3y=39    (iii)

Eliminate (i) from (iii) , we get

5x = 10

⇒ x = 2  [Divide both sides by 5]

Put value of x in (i), we get

4(2)+3y=29

⇒ 8+3y= 29

⇒ 3y= 21

⇒ y =7 [Divide both sides by 7]

Hence, Each screensaver costs $2 and each Otterbox costs $7.


Related Questions

The area of a ferris wheel is about 154 square meters. Which of the following is closest to the length of one of the spokes? [Assume
the spokes go from the center to the edge of the ferris wheel. Use 3.14 for T.]
Acircle = 12

A. 49 m
B. 6 m
C. 7m
D.14 m

Answers

Answer:

The length of one of the spoke is 7 m

Option C is correct answer.

Step-by-step explanation:

Area of Ferris Wheel = 154 square meters.

We need to find  the length of one of the spokes.

We are given: Assume  the spokes go from the centre to the edge of the Ferris wheel.

So, We are given area of circle and we need to find radius of circle.

The formula used is: [tex]Area\:of\:circle=\pi \:r^2[/tex]

Putting values and finding radius

[tex]Area\:of\:circle=\pi \:r^2\\154=3.14\:r^2\\r^2=\frac{154}{3.14}\\r^2=49\\Taking\:square\;root\\\sqrt{r^2}=\sqrt{49}\\r=7\:m[/tex]

So, Radius of circle = 7 m

The length of one of the spoke is 7 m

Option C is correct answer.

Convert the measurements. Help me ASAP please!

Answers

Answer: 22.86

Step-by-step explanation:

9 inches = 22.86 centimeters:)

please help me !!!!!​

Answers

D. 1/12
Since these are percentages, add the numbers so it becomes the probability.
: 2 + 2 = 4
: 3 + 5 = 8
: 8 + 4 = 12
So that means the correct answer is D, 1/12.

Answer:

The answer is A

Step-by-step explanation:

So there are 12 game pieces 4 pieces are the colors he wants so the fraction would be 4/12 and if u simplify the faction you'll get 1/3

subject: [Mathematics]​

Answers

Answer:

Whole number

rational numbers

natural number

interger

Step-by-step explanation:

Everything but irrational I think

Suppose a lab need to need to make 400 liters of 39% acid solution, but the only solutions available to the lab are 20% acid and 50% acid. What system of equation can be used to find the number of liters of each solution the should be mixed to make the 39% solution? Let c represent the number of liters of 20% acid solution and let d represent the number of liters of 50% acid solution.

Answers

Answer:

c + d = 400

0.2c + 0.5d = 156

Step-by-step explanation:

Let

c = number of liters of 20% acid solution

d = number of liters of 50% acid solution.

c + d = 400 (1)

0.2c + 0.5d = 400(0.39)

0.2c + 0.5d = 156 (2)

From (1)

c = 400 - d

Substitute c = 400 - d into (2)

0.2c + 0.5d = 156 (2)

0.2(400 - d) + 0.5d = 156

80 - 0.2d + 0.5d = 156

- 0.2d + 0.5d = 156 - 80

0.3d = 76

d = 76/0.3

d = 253.33 liters

Substitute d = 253.33 into (1)

c + d = 400

c + 253.33 = 400

c = 400 - 253.33

c = 146.67 liters

30 points! I will mark brainliest! Pic attached below

Answers

Answer:

parallel

Step-by-step explanation:

usually, you would put both into slope-intercept form...

but, you could also just use desmos :)

Answer:

Perpendicular

Step-by-step explanation:

they are the same but the seccond one is minus so the lines go the opposite way

I need the answer plz so I dont fail

Answers

Answer:

Whats the problem?  it wont show for me...

Step-by-step explanation:

i will awnser, just gotta give me the problem

Find the slope on the graph

Answers

Answer:

im pretty sure it would be 5/3

Step-by-step explanation:

u go up 5 squares and then over 3

Answer:

[tex]\frac53[/tex]

Step-by-step explanation:

Hello!

Slope is calculated by the formula [tex]\frac{Rise}{Run}[/tex].

Rise is the change in y between two pointsRun is the change in x between two points

The two points I'm going to pick are (0,-1) and (3,4).

Now let's find the changes in x and y.

Change in y (-1 and 4) is 5Change in x (0 and 3) is 3

Plugging it into the formula, you get a slope of [tex]\frac53[/tex].

What are the solutions to 3n-1>8 or 4n+3 < -1? *​

Answers

Answer:

3’d

Step-by-step explanation:

PLease i need help with this

Answers

Answer:

y = 2[tex]\sqrt{5}[/tex], if you plug into expressions for angles K and J they equal 80°

Step-by-step explanation:

from notations given it appears that ΔFKH is similar to ΔIJG, which means their angles are congruent

therefore, we can say that 4y² = 6y² - 40

-2y² = -40

y² = 20

y = √20 or 2√5

to find the measure in degrees, plug 2√5 into each expression:

4 · (2√5)² = 4 · 4 ·5 = 80°

6 · (2√5)² = (6 · 4 ·5) - 40 = 80°

Which one of these transformations would produce an image that is not congruent to its pre-image? (4 points)


A translation of (x − 1, y − 3)
A rotation of 90 degrees about the origin
A rotation followed by a translation
A dilation followed by a reflection

Answers

Answer:

A dialation followed by a reflection

Step-by-step explanation:

When you dialate a shape it changes the size which makes the shape similar but not congrouent.

The option “a dilation followed by a reflection” will produce an image that is not congruent to its pre-image option, fourth is correct.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

As we know, the translation will shift the object.

If rotate the image with 90 degree about origin will change the orientation of the image but shape will remains same.

A dilation followed by reflection will change the image because the transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller.

Thus, the option "a dilation followed by a reflection" will produce an image that is not congruent to its pre-image option fourth is correct.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ2

Point Ais a representation of which number on the number line?
0
T
-3
1

Answers

Answer:

B = -3

Step-by-step explanation:

Rewrite 18m - ( 2 + 3m ) without parentheses.

Answers

Answer:

15m−2

Step-by-step explanation:

Distribute the Negative Sign:

=18m + −1(2 + 3m)

=18m + (−1)(2) + −1(3m)

=18m + −2 + −3m

Combine Like Terms:

=18m + −2 + −3m

=(18m + −3m) + (−2)

=15m + −2

I need help with this plz

Answers

The answer is b sense it’s asking I’m simplest form

Which number is greater than 5.63? *




A.5.658
B.5.628
C.2.758
D.0.688

Answers

Answer:

A

Step-by-step explanation:

The other values are lesser than 5.63

Answer:

5.658-A

Step-by-step explanation:

A manufacturing plant is capable of producing 10 tons of product per day when it runs three shifts with no breakdowns and plenty of raw materials. Over the past week, the plant has produced an average of 7.3 tons per day because the third shift has devoted much of their time to preventive maintenance. What is the utilization of the plant?

Answers

Answer: 73%

Step-by-step explanation:

The plant is capable of producing 10 tons of product in one day.

Currently however, it is only able to produce 7.3 tons per day.

Utilization is therefore:

= Actual production/ Potential production * 100

= 7.3/10 * 100

= 73%

Two triangles have the same base lengths. One Triangle has the height that is 4 times the height of the other triangle. Are the heights and the areas of the two triangles proportional?

Answers

YES

Area of Triangle 1

Base=b

Height= h

Area 1=A1=1/2*b*h

Area of Triangle 2

Base=b

Height= 4h

Area of triangle 2=A2=1/2*b*4h

Comparing A1 and A2

A2/A1= (1/2*b*4h)/(1/2*b*h)

= (1/2*b*4h)/(1/2*b*h)

=4/1

Ratio of heights =h2/h1= 4/1

Ratio of areas =A2/A1= 4/1

They are proportional.

y = -2x + 11

What is the slope of the equation?

A) -11
B) -2
C) 9
D) 11

Answers

Answer:

-2

Step-by-step explanation:

you must follow the y=mx+b

m=slope

b=intercept

Answer:

B) -2

Step-by-step explanation:

y= -2x+11 is in slope-intercept form

y= mx+b

y= y-coordinate

x= x-coordinate

m= slope

b= y-intercept

m= -2

Alex runs at an average speed of 10 km per hour for 1 hour 30 minutes. What distance does he run?

Answers

Answer:

15 km?

Step-by-step explanation:

10 km per hour for one hour is 10km. plus the half hour, half of the distance 5km is just 15km

What’s the answer plz hurry!

Answers

Answer:

its c

ududhsihsisbishsusbusvsusbusbduusususuuusueuieieiejejdhebteybybeybsbysyneybdyndybbydbyeynydnnydndyjdyj8ggnxr

Step-by-step explanation:

fhjfjjgcmhmhcxmgkhfkhffhkhfkgfoyfkyftfutdutxjtxoyf

2 times 2 times 9 times 30045

Answers

1,081,620

2 x 2 is 4

9 x 30045 is 270,405

so 4 x 270,405 is 1,081,620

Please help due ASAP
I really need help

Answers

C because it is icoceles.

Answer:

21.25

Step-by-step explanation:

The sum of all angles in a triangle equals 180°

Since it's an isosceles triangle, the base angles are congruent.

180 = 75 + (2x + 10) + (2x + 10)

180 = 95 + 4x

-95    -95

85 = 4x

x = 21.25

please help me!!!!! im confused

Answers

Answer:

The interest is: $2550.00

Step-by-step explanation:

I = P x r x t

    P is the principal amount, $12000.00.

   r is the interest rate, 4.25% per year, or in decimal form, 4.25/100=0.0425.

   t is the time involved, 5....year(s) time periods.

   So, t is 5....year time periods.

To find the simple interest, we multiply 12000 × 0.0425 × 5 to get that:

The interest is: $2550.00

f (x) =2x+10 identify the zeros of the function algebraically

Answers

Answer:

x= -5

Step-by-step explanation:

if youre looking for the x this is the answer.

PLEASE HELP ASAP
ILL GIVE BRAINLIEST!!!

Answers

Wouldn’t it be the same as the opposing side considering they are equal?

Do you have a basketball game the two teams scored a total of 210 points the home team won by 20 points how many points did the whole team score

Answers

Answer:

190

Step-by-step explanation:

Answer: 1st team scored 95 and the second team scored 115

Explanation: 210 divided by 2 equals 105. 105-10=95(1st team) 105+10=115(2nd team) 115+95=210

(3k + 4 1/5) + 8 3/5

Answers

3k+64/5
Hope this helped

Someone help I’m LAAAAZYYYY

Answers

Answer:

It is 8,7

Hope this helps!

Step-by-step explanation:

Ellen planned to interview some applicants for a position in her office. If she scheduled ½ of an hour to meet each of them, how much time did she schedule for all 6 applicants?

Answers

Answer: 3 hours

Step-by-step explanation:

From the question, we are informed that Ellen planned to interview some applicants for a position in her office and that she scheduled ½ of an hour to meet each of them.

The amount of time that she will schedule for all 6 applicants will be:

= 1/2 hour × 6

= 3 hours

Help! It’s geometry: finding angles measures between intersecting lines

Answers

Answer:

x=17

Step-by-step explanation:

So first we know that vertical angles are equal

And for the first part we have a 73 and x

So 73+x=90 Becuase in this situation if you add them up its gonna give you a right angle

you’ll get 17

SO 17 is X

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