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3 years ago

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The pie recipe calls for twice as many peaches as nectarines. If it takes a total of 168 pieces of fruit for all the pies, how m

any nectarines are needed?

1 answer:

Inessa05 [86]3 years ago

4 0

84 since 84 times 2 equals 168

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The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20

Pepsi [2]

Answer: They can order from 0 to 449 bars, but no more.

Step-by-step explanation:

Given: The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20.00 for shipping regardless of the size of the order. The band must spend less than $200.00 on bars for the fundraiser.

The inequality below relates x, the number of bars that could be ordered, with the shipping costs and their spending requirements.

$0.40x+20$

To solve for x, subtract 20 on both sides, we get

$0.40x$

Divide 0.40 on both sides, we get

$x$ ......... → the number of bars that could be ordered, with the shipping costs and their spending requirements must less than 450.

Thus, they can order from 0 to 449 bars, but no more.

4 0

3 years ago

Read 2 more answers

Find all solutions of the equation: 2cos^2x-cosx=1

Art [367]

If you're using the app, try seeing this answer through your browser: brainly.com/question/3166243

——————————

Solve the trigonometric equation:

$\mathsf{2\,cos^2\,x-cos\,x=1}\\\\ \mathsf{2\,cos^2\,x-cos\,x-1=0}$

Make a substitution:

$\mathsf{cos\,x=t\qquad (-1\le t\le 1)}$

and the equation becomes

$\mathsf{2t^2-t-1=0}$

Rewrite conveniently – t as + t – 2t, and then factor the left-hand side by grouping:

$\mathsf{2t^2+t-2t-1=0}\\\\ \mathsf{t\cdot (2t+1)-1\cdot (2t+1)=0}$

Factor out 2t + 1:

$\mathsf{(2t+1)\cdot (t-1)=0}\\\\ \begin{array}{rcl} \mathsf{2t+1=0}&~\textsf{ or }~&\mathsf{t-1=0}\\\\ \mathsf{2t=1}&~\textsf{ or }~&\mathsf{t=1}\\\\ \mathsf{t=\dfrac{\,1\,}{2}}&~\textsf{ or }~&\mathsf{t=1} \end{array}$

Substitute back for t = cos x:

$\begin{array}{rcl}\mathsf{cos\,x=\dfrac{\,1\,}{2}}&~\textsf{ or }~&\mathsf{cos\,x=1}\\\\ \mathsf{cos\,x=cos\,60^\circ}&~\textsf{ or }~&\mathsf{cos\,x=cos\,0} \end{array}$

Therefore,

$\begin{array}{rcl} \mathsf{x=\pm\,60^\circ+k\cdot 360^\circ}&~\textsf{ or }~&\mathsf{cos\,x=0+k\cdot 360^\circ} \end{array}$

where k is an integer.

Solution set:

$\mathsf{S=\left\{x\in\mathbb{R}:~~x=-\,60^\circ+k\cdot 360^\circ~~or~~x=60^\circ+k\cdot 360^\circ~~or~~x=k\cdot 360^\circ,~~k\in\mathbb{Z}\right\}}$

I hope this helps. =)

3 0

3 years ago

Mr. Green is still repairing that old, rundown house he recently purchased. He finally fixed that leaky faucet in the kitchen, b

Murrr4er [49]

Answer:

960 ounces in 1 day

(Sorry for a late response, I just logged on)

Step-by-step explanation:

Most of that information is negligable (not important) besides 8 ounces in 12 minutes.

so an hour is 60 minutes, if we multiply both parts of the problem by 5 we get

40 ounces in 1 hour

a day is 24 hours, so if we multiply both sides by 24 well get our answer

960 ounces a day

-- Gage Millar, Algebra 1/2 tutor

8 0

3 years ago

Read 2 more answers

A submarine dives below the surface, heading downward in nine moves. If each move downward was 180

Maslowich

The submarine would be 1,620 ft if i’m understanding the question correctly

4 0

3 years ago

An airplane climbs at an angle of 13 with the ground . What is the distance it has traveled when it has attained an altitude of

nevsk [136]

The distance traveled is the hypotenuse of the right triangle formed with the ground.

sinα=400/d

d=400/sinα, we are told α=13° so

d=400/sin13 ft

d≈1778ft (to nearest whole foot)

6 0

3 years ago