What is AB? There’s an image of the triangle above

Sandra wants to make gift baskets. She needs 1.3 pounds of flour to make cupcakes and 1.7 pounds of flour to make pies. About

mafiozo [28]

Answer:

A: 18 pounds

Step-by-step explanation:

The answer would be 18 pounds because if you take the amount needed to make the cupcakes and multiply it by the number of baskets Sandra wants to make (1.3 x 6 = 7.8) and then add it to how much flour is needed for 6 baskets of pies (1.7 x 6 = 10.2). So when you add the amount of flour needed for 6 baskets of pies and cupcakes the answer is 18 pounds.

6 0

3 years ago

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A small garden measures 9 ft by 13 ft. A uniform border around the garden increases the total area to 192 ft square. What is the

victus00 [196]

The width of border is 1.5 feet

<h3><u>Solution:</u></h3>

Given that small garden measures 9 ft by 13 ft

A uniform border around the garden increases the total area to 192 ft square

To find: width of border

Let the width of border be "x"

Then the new measures of garden are (9 + 2x) feet and (13 + 2x) feet

The total area of garden = 192 square feet

$(9 + 2x)(13 + 2x) =192$

$117 + 18x + 26x + 4x^2 = 192\\\\4x^2 + 44x - 75 = 0$

<em><u>Let us solve the above equation by quadratic formula</u></em>

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

For $4x^2 + 44x - 75 = 0$ , we have a = 4 ; b = 44 ; c = -75

Substituting the values of a = 4 ; b = 44 ; c = -75 in above quadratic formula we get,

$\begin{aligned}&x=\frac{-44 \pm \sqrt{44^{2}-4(4)(-75)}}{2 \times 4}\\\\&x=\frac{-44 \pm \sqrt{1936-1200}}{8}\\\\&x=\frac{-44 \pm \sqrt{3136}}{8}\\\\&x=\frac{-44 \pm 56}{8}\end{aligned}$

$\begin{aligned}&x=\frac{-44+56}{8} \text { or } x=\frac{-44-56}{8}\\\\&x=\frac{12}{8} \text { or } x=\frac{-100}{8}\\\\&x=1.5 \text { or } x=-12.5\end{aligned}$

Since "x" cannot be negative,

we get x = 1.5

Thus width of border is 1.5 feet

4 0

3 years ago

What are the zeros of the function: f(x) = 2x^2-50

yan [13]

When f(x) = 0,

$2x^2 - 50 = 0$

$2(x^2 - 25) = 0$

$2(x- 5)(x + 5) = 0$

$(x - 5) = 0 \ or \ (x + 5) = 0$

$x = 5 \ or \ x = -5$

--------------------------------
Answer : x = 5 or -5
--------------------------------

3 0

3 years ago

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An equation is shown. x + 3 = 8.5 what is the solution to the equation

skad [1K]

Answer:

mbcnnb.hhhhjsjsjsnwjwnnwnwnenenebebeneme dcecvejsksmemebeccehsnsnsne evvenekeiekekenbegegevebbehehenebebbebebendhfhhcjcmc d d ecevegjskdkdklxbxbcbfdvvdvdhejrklnssfbmjffbb c

Step-by-step explanation:

nbsnsmsmlslakwj

5 0

2 years ago

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A rectangular prism with a volume of 222 cubic units is filled with cubes with side lengths of \dfrac14 4 1 start fraction, 1,

skad [1K]

The correct question is
<span>A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4 unit. How many cubes does it take to fill the prism?

we know that
[volume of the cube]=b</span>³
b=1/4 unit
[volume of the cube]=(1/4)³------> 1/64 unit³

if 1 cube has a volume of ----------------> (1/64) unit³
x cubes--------------------------------> 2 unit³
x=2/(1/64)-----> x=2*64----> x=128 cubes

the answer is
128 cubes

8 0

3 years ago

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