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tensa zangetsu [6.8K]
2 years ago
14

Market and more is having a cereal sale. Every box is $0.60 off the regular price. Jane has at most $10 to spend and she wants t

o buy 4 boxes of cereal.write an inequality to determine the reqular prices of boxes of cereal that she can afford.
Mathematics
1 answer:
Brrunno [24]2 years ago
4 0

Answer:

10 >= 4(x-.60)

Step-by-step explanation:

Let x the regular price of a box of cereal

The sale price is .60 off

New price is x-.60

She wants to buy 4 boxes, so multiply the new price by 4

4(x-.60)

She only has 10 dollars  so the price must be less than  or equal to 10 dollars

10 >= 4(x-.60)


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The ratio of width to length of a rectangle is 7:10.The width of the rectangle is 91 cm.
kvasek [131]

Answer:

Length= 130 cm

For, Width= 91 cm

Step-by-step explanation:

Ratio of the width to the length of the rectangle = 7:10

Width of the rectangle= 91 cm

\frac{Width}{Length} =\frac{7}{10}

As, Width = 91 cm

\frac{91}{Length} =\frac{7}{10}

On, Cross multiplication the fraction:

91*10=7*Length

7*Length=910

Dividing by '7' both the sides:

Length=\frac{910}{7}\\\\ Length=130cm

6 0
3 years ago
Solve the simultaneous equation,<br> 2p - 3q = 4<br> 3p + 2q = 9
Kobotan [32]

Answer:

p = \frac{35}{13} and q = \frac{6}{13}

Step-by-step explanation:

Given equations:

2p - 3q = 4        -----------(i)

3p + 2q = 9       ------------(ii)

Let's solve this equation simultaneously using the <em>elimination method</em>

(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;

[2p - 3q = 4]        x 3

[3p + 2q = 9]       x 2

6p - 9q = 12            -------------(iii)

6p + 4q = 18            -------------(iv)

(b) Next, subtract equation (iv) from equation (iii) as follows;

     [6p - 9q = 12]        

<u>  -   [6p + 4q = 18]   </u>  

<u>             -13q = -6     </u>  -----------------(v)

<u />

<u>(c)</u> Next, make q subject of the formula in equation (v)

      q = \frac{6}{13}

(d)  Now substitute the value of q = \frac{6}{13} into equation (i) as follows;

     2p - 3(\frac{6}{13}) = 4

(e)  Now, solve for p in d above

<em>Multiply through by 13;</em>

26p - 18 = 52

<em>Collect like terms</em>

26p = 52 + 18

26p = 70

<em>Divide both sides by 2</em>

13p = 35

p = \frac{35}{13}

Therefore, p = \frac{35}{13} and q = \frac{6}{13}

8 0
2 years ago
1. The area of a circle is 60 square units. What is the area of ...
amid [387]

Answer:

30

Step-by-step explanation:

60=whole

60/2=30

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5x = 4y - 3

Standard form is Ax + By = C, so first subtract 4y to both sides:

5x - 4y = -3
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