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andrew11 [14]
3 years ago
11

Yani buys a certain brand of cereal that costs $10 per box. Yani changes to a super-saving brand of the same size. The equation

shows the price, y, as a function of the number of boxes, x, for the new brand. y = 7x Part A: How many more dollars is the price of a box of Yani’s original brand of cereal than the price of a box of the super-saving cereal? Show your work. Part B: How much money does Yani save each month with the change in cereal brand if he buys 5 cereal boxes each month? Show your work.
PLS HELP
Mathematics
1 answer:
Harman [31]3 years ago
5 0
A) Original price : y =10.x
Cheaper brand : y = 7x
The original box is $3 more than the cheap one. Proof:
Suppose 1 box is bought of each (x=1),original will cos10 & the cheaper $7
b) Each time he buys a cheap brand he save $3 ($10-$7), on 5 cheap boxes, he would save $3 x 5 boxes = $15


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If Julie needs 3 and 1/4 cups of oatmeal how many 1/4 cups of oatmeal will she use
Effectus [21]

Answer:

She will use 13 quarter cups of oatmeal

Step-by-step explanation:

3 1/4 = 13/4

x/4 = 13/4

4(x/4) = 4(13/4)

x = 13

3 0
3 years ago
Find the point on the plane 4x+3y+z=10 that is nearest to​ (2,0,1). What are the values of​ x, y, and z for the​ point? x= 28 /
MariettaO [177]

Answer:

\frac{1}{\sqrt{26}}.

Step-by-step explanation:

The minimun distance between a point and a plane is the perpendicular distance. The formula is

d = \frac{|Ax_0+By_0+Cz_0+D|}{\sqrt{A^{2}+B^{2}+C^{2}}}

where (x_0,y_0,z_0)=(2,0,1), A=4, B=3, C=1 and D=-10. So, the distance is

d = \frac{|8+1-10|}{\sqrt{16+9+1}}

d =  \frac{|-1|}{\sqrt{26}}

d = \frac{1}{\sqrt{26}}.

4 0
3 years ago
A retangle has an area of 30 square meters and a perimeter of 34 meters what are the dimensions of the retangle
s344n2d4d5 [400]

Answer: Length = 15 meters

Width = 2 meters

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

Area of a rectangle = l × w

where l = length

w = width

Therefore,

2l + 2w = 34 ...... i

l × w = 30 ........ ii

From equation i

2l + 2w = 34

Divide through by 2.

l + w = 17 ...... iii

Then, l = 17 - w ........ iv

Put equation iv into ii

l × w = 30

(17 - w) × w = 30

17w - w² = 30

w² - 17w + 30 = 0

w² - 15w - 2w + 30 = 0

w(w - 15) - 2(w - 15) = 0

(w - 2) = 0

w = 0 + 2 = 2

w - 15 = 0

w = 0 + 15 = 15

Length = 15 meters

Width = 2 meters

6 0
3 years ago
ALGEBRA evaluate each eapression if x= -3, y=8, and z=-12<br> y-10 <br> 12-z<br> 3-x<br> z-24
Vinvika [58]

Answer:

  • -2
  • 24
  • 6
  • -36

Step-by-step explanation:

Put the numbers in place of the corresponding letter and do the arithmetic.

  y -10 = 8 -10 = -2

  12 -z = 12 -(-12) = 24

  3 -x = 3 -(-3) = 6

  z -24 = -12 -24 = -36

6 0
3 years ago
the number m and 5/8 are additive inverses.drag and drop m to their correct positions on the number line.drag and drop the label
monitta

The additive inverse of a number is that number with its sign changed.

The additive inverse of 5/8 is -5/8, so that is the value of <em>m</em>.

The sum of a number and its additive inverse is <em>zero</em>. (This is actually the definition of <em>additive inverse</em>.)

5/8 is found at 5/8 on the number line.

m is found at -5/8 on the number line.

"sum" is found at 0 on the number line.

3 0
3 years ago
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