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Flauer [41]
2 years ago
5

Two brothers went shopping at a back-to-school sale where all shirts were the same price, and all the shorts too. The younger br

other spent $230 on 8 new shirts and 10 pairs of shorts. The older brother purchased 8 new shirts and 4 pairs of shorts and paid a total of $116. How much did each item cost?
Mathematics
1 answer:
slamgirl [31]2 years ago
4 0

Answer:

Younger: 12.78 per item

Older: 9.67 per item

Step-by-step explanation:

Well, if all the shirts and shorts were the same price divide the total price and total amount of items they bought.

Younger Brother:

8 shirts + 10 shorts = 18 items for $230

$230 ÷ 18 items = about 12.78 per item (it comes out to a lot of number so I estimated it the nearest hundredth)

Older Brother:

8 shirts + 4 shorts = 12 items

$116 ÷ 12 items = about 9.67 per item (estimated again)

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What is the value of triangle in the equation shown? 8 x 4 = (triangle x 7) - (triangle x 3)
GarryVolchara [31]

9514 1404 393

Answer:

  triangle = 8

Step-by-step explanation:

The right side can be factored so that you have ...

  8 x 4 = (triangle x 7) - (triangle x 3)

  8 x 4 = triangle x (7 - 3) . . . . use the distributive property

  8 x 4 = triangle x 4 . . . . . . simplify

  8 = triangle . . . . . . . . . . divide both sides by 4

7 0
3 years ago
Through: (4,- 4), perp. to y = -4x - 2
amid [387]

Answer:

Step-by-step explanation:

y = -4x - 2

slope of line = -4

slope of perpendicular to line = ¼

Point-slope equation for line of slope ¼, passing through (4,-4):

y+4 = ¼(x-4)

In slope-intercept form:

y = ¼x - 5

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2 years ago
Convert to exponential form: log 1000=3
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\log 1000=3 \\
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8 0
2 years ago
The product of w and 2 is greater than or equal to 19.
madam [21]

Equation Form:

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5 0
2 years ago
Find the values of x, y, and z. The diagram is not to scale.
rosijanka [135]

Answer:

x= 81°, z= 99°, y°=68°

Step-by-step explanation:

considering the part of the triangle where 36° , 63° and x° is located as ΔABC.

to find the measure of x we use angle sum property.

We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.

so,

∠A + ∠B +∠C = 180°

36° + 63° + x° = 180°

99° + x° = 180°

x° = 180 - 99

x° = 81°

When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.

x° + z° = 180°

81° + z = 180°

z= 180 - 81

z= 99°

considering the next part of the triangle where 13° , z° and y° is located as ΔACD

to find the measure of y we use angle sum property.

∠A + ∠C + ∠D = 180°

13° + z° + y° = 180°

13°+99°+y°= 180°

112°+ y° = 180°

y°= 180- 112

y° = 68°

5 0
2 years ago
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