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chubhunter [2.5K]
2 years ago
13

Samantha wants to use her savings of $1150 to buy shirts and watches for her family. The total price of the shirts she bought wa

s $84. The watches cost $99 each. What is the maximum number of watches that Samantha can buy with her savings? 8 9 10 11
Mathematics
2 answers:
irakobra [83]2 years ago
8 0
The cost of the shirts is stable, so we can subtract $1150 - $84, which = $1066. Now we want to find how many watches we can buy with $1066, or how many times $99 fits into $1066. So divide 1066 by 99 to get 10.77. You can't buy 77ths of a watch, so round it down to 10 and you have your answer. Samantha can buy 10 watches.
Elis [28]2 years ago
6 0

Answer:

C. 10

Step-by-step explanation:

Samantha wants to use her savings of $1150 to buy shirts and watches for her family.

The total price of the shirts she bought was $84.

The watches cost $99 each.

Let she bought x watches

then, 84+99x≤1150

subtracting by 84 on both sides, we get

99x≤1066

dividing both sides by 99, we get

x≤ 10.767

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The height of two similar pails are 12cm and 8cm.The larger pail can hold 2litres. What is the capacity of the smaller pail?
Vedmedyk [2.9K]

Answer:

1.33 liters

Step-by-step explanation:

Volume of any shape is given by cross sectional area multiplied by height. Therefore, V=Ah

Where A is area and h is height

Since their cross sections are the same, then volume depends on height.

If 12cm equals 2 liters

8cm equals x

X=(2*8)/12=1.3333333333333 liters

Approximayely, the smaller pail has capacity of 1.33 liters

7 0
2 years ago
Jorge and Mary are both filling cups with fruit punch in preparation for a party. After 3 minutes, Jorge had 53 cups left to be
makkiz [27]

Answer:

Mary is filling 36 cups per minute, which is faster than Jorge.

Step-by-step explanation:

Lets get Jorge's time :

As the rate is constant, we can find the slope to know the number of cups he is filling per minute.

Slope is found using: \frac{y2-y1}{x2-x1}

= \frac{53-25}{5-3}

= \frac{28}{2}=14

From the table lets get Mary's time:

\frac{99-81}{1-0.5}

= \frac{18}{0.5}=36

Another data: \frac{63-45}{2-1.5}

=  \frac{18}{0.5}=36

Therefore, we can see that Mary is filling 36 cups in a minute and Jorge is filling 14 cups.

Hence, the correct answer is : Mary is filling 36 cups per minute, which is faster than Jorge.

7 0
2 years ago
Read 2 more answers
6. Matthew is planning to build a right triangular
saul85 [17]
The answer to this question will be B
8 0
2 years ago
Condense each expression. 5 log5 x - 1/4 log5 (8 -x)
allsm [11]

Step-by-step explanation:

5 log₅ x − ¼ log₅ (8−x)

log₅ x⁵ − log₅ (8−x)^¼

log₅ x⁵ − log₅ ∜(8−x)

log₅ (x⁵ / ∜(8−x))

4 0
2 years ago
In the derivation of the quadratic formula by completing the square, the equation (x+b over 2a)^2=-4ac+b^2 over 4a^2 is created
vredina [299]

Answer:

The result of applying the square root property of equality to this equation is x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}.

Step-by-step explanation:

Consider the provided equation.

\left(x+\dfrac{b}{2a}\right)^2=\dfrac{-4ac+b^2}{4a^2}

As the above equation is formed by perfect square trinomial so simply applying the square root property as shown:

\sqrt{(x+\dfrac{b}{2a})^2}=\pm \dfrac{\sqrt{-4ac+b^2}}{\sqrt{4a^2}}\\x+\dfrac{b}{2a}=\pm \dfrac{\sqrt{b^2-4ac}}{2a}

Isolate the variable x.

x=-\dfrac{b}{2a}\pm \dfrac{\sqrt{b^2-4ac}}{2a}\\x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Hence, the result of applying the square root property of equality to this equation is x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}.

4 0
1 year ago
Read 2 more answers
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