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Law Incorporation [45]
3 years ago
5

Two students were shopping for school supplies. They need spirals which cost x dollars and pens which cost y dollars. One studen

t bought 2 spirals and 3 pens for $8.66. Another student bought 4 spirals and 5 pens for $15.20. Find the unit cost of a spiral.
Mathematics
1 answer:
vfiekz [6]3 years ago
8 0

Answer:

x=1.15

y=2.12

Step-by-step explanation:

look at the picture ..........

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Adding & subtracting fractions
Nady [450]
<span>Before you can add or subtract fractions with different denominators, you must first find equivalent fractions with the same denominator, like this:
<span>Find the smallest multiple (LCM) of both numbers.
<span>Rewrite the fractions as equivalent fractions with the LCM as the denominator.</span></span></span>
Hope i helped!
7 0
3 years ago
Read 2 more answers
Use factoring to rewrite each expression in n equivalent from. Use the fewest number of terms possible. Show each step of your w
goldfiish [28.3K]
A. 4x+10

B. 9x+3

These are the answers to the questions. You just add the like terms together and BAM! You're answer. Hope this helps (:
4 0
3 years ago
I am donating packages for Christmas drive. After the first week, I spent 126 to donate three children packages and 8 adult pack
anastassius [24]

Answer:

Step-by-step explanation:

Let the price for children and adults package be represented with x and y respectively.

For the first week the sum of the package will be as follows:

3x+8y = 126

For the two weeks after:

6x+4y= 108

So, we will be having two equations

3x+8y = 126..... (1)

6x+4y= 108.......(2)

These are simultaneous equations

From equation 1

3x+8y = 126

3x = 126-8y

X = 126-8y/3 ............. (3)

Put equation 3 into 2

6 ( 126-8y)/3 +4y = 108

756-48y/3 +4y = 108

756-48y+12y/3 = 108

Cross multiplying

756-48y+12y= 108×3

756-48y+ 12y = 324

Collecting like terms

756-324 = 48y-12y

432= 36y

Divide both sides by 36

432/36 = 36y/36

y= 12

Substituting y into equation 1

3x+8= 126

3x+96=126

3x= 126-96

3x= 30

Divide both sides by 3

3x/3 = 30/3

x = 10

Hence for each of the packages for children and adults. It will be 10 and 12 respectively.

8 0
3 years ago
Lara wants to inscribe a square in a circle using only a compass and straightedge. She will first construct a circle and locate
astraxan [27]
The answer is C. You can make a rectangle by putting the diagonals through the center anywhere, but if you want a square, you have to put the two diagonals perpendicular to each other and join their ends. See the diagram. 

4 0
3 years ago
In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AC=5 and BH=2, find AH and CH.
Yakvenalex [24]

Answer:

  AH = 1 or 4

  CH = 4 or 1

Step-by-step explanation:

An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...

  AH/BH = BH/CH

  AH·CH = BH²

The problem statement tells us AH + CH = AC = 5, so we can write

  AH·(5 -AH) = BH²

  AH·(5 -AH) = 2² = 4

This gives us the quadratic ...

  AH² -5AH +4 = 0 . . . . in standard form

  (AH -4)(AH -1) = 0 . . . . factored

This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.

3 0
3 years ago
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