Gloria, Teresa, and Rebecca went to an office supply store. Gloria bought 8 pencils, 4 markers, and 6 erasers. Her total was
$22.00. Teresa spent $19.25 buying 5 pencils, 7 markers, and 8 erasers. Rebecca bought 5 pencils, 5 markers, and 4
erasers for $15.75. What is the cost of each item?

Answer:

The equation to find [tex]x[/tex] is [tex](5\cdot x - 2)^{\circ} + (2\cdot x -2)^{\circ} + x^{\circ} = 180^{\circ}[/tex].

The degree measure of each angle is: [tex]m\angle J = 113^{\circ}[/tex], [tex]m\angle K = 44^{\circ}[/tex] and [tex]m\angle L = 23^{\circ}[/tex].

Step-by-step explanation:

From Euclidean Geometry we remember that the sum of internal angles in triangles equals 180°. If we know that [tex]m\angle J = (5\cdot x -2)^{\circ}[/tex], [tex]m \angle K = (2\cdot x - 2)^{\circ}[/tex] and [tex]m\angle L = x^{\circ}[/tex], then we construct the following equation of the triangle JKL in function of [tex]x[/tex]:

[tex]m\angle J + m\angle K + m\angle L = 180^{\circ}[/tex] (1)

[tex](5\cdot x - 2)^{\circ} + (2\cdot x -2)^{\circ} + x^{\circ} = 180^{\circ}[/tex]

[tex]8\cdot x -4 = 180^{\circ}[/tex]

[tex]8\cdot x = 184[/tex]

[tex]x = 23[/tex]

Finally, the measure of each angle is, respectively:

[tex]m\angle J = (5\cdot x -2)^{\circ}[/tex]

[tex]m\angle J = 113^{\circ}[/tex]

[tex]m \angle K = (2\cdot x - 2)^{\circ}[/tex]

[tex]m\angle K = 44^{\circ}[/tex]

[tex]m\angle L = x^{\circ}[/tex]

[tex]m\angle L = 23^{\circ}[/tex]

Answer:

C

Step-by-step explanation:

4 (2) - 4 < 8

4 < 8 (true)

9 (2) + 5 > 23

23 > 23 (not a true statement)

4 (3) - 4 < 8

8 < 8 (not a true statement)

9 (3) + 5 > 23

32 > 23 (true)

Answer:

Step-by-step explanation:

1.75x+1.25y=2           Multiply this equation by 4

7x + 5y = 8

7x+5y=9

As you can see, the xs and ys have the same coefficient. These lines are parallel. There are NO solutions. Just to show you that, here is a graph.

Answer:

100$

Step-by-step explanation:

Since [tex]4%[/tex]% of [tex]500[/tex]=[tex]20,[/tex] then [tex]20x5=100[/tex]

Answer:

yes

Step-by-step explanation: i did a test like 2 weeks ago and this was a question and i got it right

Answer:

4

Step-by-step explanation:

for every 400 meters aarav runs bahir runs 500

when bahir is at 2000 aarav is at 1600

Answer:

2 and 4

Step-by-step explanation:

A relation describe a function when for every x is associated one and only one y

1) is not a function because when x = 1 there are two y associated (3 and 5)

2)  yes, for the definition of function

3) is not a function because when x = 5 there are four y associated ( 5, 4, 3, 2)

4) yes, because for every x there is only one y associated (is not important if is the same)

Answer:

967 times

Step-by-step explanation:

3 / 3499 is 1166.33333

3 / 6399 is 2133

Answer:

3.3333333333333...

Step-by-step explanation:

5 (2/3) = 3.33333333333 (repeating decimal)

Also,

10 (2/3) = 6.66666666666666666 (repeating decimal)

6.66666666666666 / 2 = 3.33333333333333 (repeating decimal)

Answer:

wow

Step-by-step explanation:

hi, hows ur day??

Answer:

8.1

Step-by-step explanation:

1) find half base

half base = 8:2 = 4 ft

2) use the Pythagorean theorem to find the height

[tex]\sqrt{9^2 - 4^2} = \sqrt{81 - 16} = \sqrt{65} = 8.1[/tex]

Answer:

Y-2=-3(x+7)

Step-by-step explanation:

Answer:

I'm pretty sure it's c but I'm not sure

Answer:

4

Step-by-step explanation:

Answer:

x³ + 11x² + 28x

Step-by-step explanation:

(x + 4)(x² + 7x)

Each term in the second factor is multiplied by each term in the forst factor, that is

x(x² + 7x) + 4(x² + 7x) ← distribute parenthesis

= x³ + 7x² + 4x² + 28x ← collect like terms

= x³ + 11x² + 28x

[tex] \huge \underline{ \sf \: Solution}[/tex]

[tex](x + 4)( {x}^{2} + 7x) \\ = x( {x}^{2} + 7x) + 4( {x}^{2} + 7x) \\ = {x}^{3} + {7x}^{2} + {4x}^{2} + 28x \\ = {x}^{3} + {11x}^{2} + 28x [/tex]

[tex]\huge\underline{\sf Answer:}[/tex]

[tex]{x}^{3} + {11x}^{2} + 28x [/tex]

Answer:

I need help with the answer as well

Step-by-step explanation:

Answer:

I think the answer is 60

Step-by-step explanation:

If you do the base times the hieght it should get you the answer.

Answer:

5/6

Step-by-step explanation:

There are 24 hours a day and a koala sleeps for 20 hours of it:

20/24

5/6

Answer:

they sleep for 20/24 percent of the day or 4.8 percent.

Step-by-step explanation:

Answer:

Pentagon

Step-by-step explanation:

Hope this helps!! :D

Answer:

the shaded part is 60% of the thing

Step-by-step explanation:

3/5 = 60%

Answer:

is this on edulastic? if you have the option check answer put 12 and let me know if it was right please.

Answer:

about 21.9 ft²

Step-by-step explanation:

area of a half circle = [tex]\frac{\pi r ^{2} }{2}[/tex]

so [tex]\frac{\pi 3^{2} }{2} = 14.13716694[/tex] ft²

are of a square is [tex]bh\\[/tex]

so 6 x 6 = 36 ft²

so the area of the figure would equal the area of the square minus the area of the half-circle

36 ft² - 14.13716694 ft² = 21.86283306 ft² ≈ 21.9 ft²

Answer:

p=10

Step-by-step explanation:

86+p=96

Subtract 86 from both sides

86+p-86=96-86

Simplify;

p=10

Answer:

Because it is acorrding to question answer

Answer:

Its graph must have a slope of 1

Step-by-step explanation:

Answer:

88 km.

Step-by-step explanation:

If 5 miles is 8 km,

55 miles is 88 km.

What you need to do is 55/5 = 11.

Then multiply that 11 to 8.

11 * 8 = 88.

Basically, if you are multiplying 5 by 11 to get 55, you need to multiply 8 by 11 to get 88.

Answer:

JSJXJX

Step-by-step explanation:

CF<DC<DE<DF<FE

Answer:

hhhqh

Step-by-step explanation:

j;l khnjugo8;e7rigum  fkjsdlkgj

Answer:

()

Step-by-step explanation:

Use nCr to figure this out, plug in the numbers and probabilities and solve

Answer:

Step-by-step explanation:

Roots:

The equation:

Step-by-step explanation:

Let the roots be a and b

To form a equation the formula is

[tex]\sf x^2-(a+b)x+ab[/tex]

[tex] \sf➡ {x}^{2} - ( - 3 + 5)x + ( - 3)5 \\ \sf \: ➡ {x}^{2} - 2x - 15 = 0[/tex]