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OleMash [197]
2 years ago
7

How would you estimate the price if a shirt that usually costs $32.99 is on sale for 25% off?

Mathematics
2 answers:
Nuetrik [128]2 years ago
6 0

Answer:

32.99/4 is about 8.25

8.25 x 3= 24.75

about 24.75

Step-by-step explanation:

aksik [14]2 years ago
3 0
22.47 hdr. Ifrvh out
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If cos x=8/17, and 270° &lt; x &lt; 360°<br> what is cos(2x)?
svp [43]

Answer:  \bold{-\dfrac{161}{289}}

<u>Step-by-step explanation:</u>

Given: cos x = \dfrac{8}{17}, x is in Quadrant 4

Use Pythagorean Theorem to find sin x:

8² + y² = 17²    

      y² = 17² - 8²

      y² = 289 - 64

      y² = 225

      y = 15

→    sin x = -\dfrac{15}{17}

Use the double angle formula to find cos (2x):

cos (2x) = cos^2 x - sin^2 x\\\\.\qquad=\bigg(\dfrac{8}{17}\bigg)^2-\bigg(-\dfrac{15}{17}\bigg)^2\\\\\\.\qquad=\dfrac{64}{289}-\dfrac{225}{289}\\\\\\.\qquad=-\dfrac{161}{289}

             

8 0
3 years ago
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A cup of coffee with temperature 155degreesF is placed in a freezer with temperature 0degreesF. After 5 ​minutes, the temperatur
Leviafan [203]

Answer:

45.50° F

Step-by-step explanation:

As per Newton's law,

T(t) = T_{s}+(T_{0} + T_{s})e^{-kt}

When T(t) is the final temperature

T_{s} = Temperature of surrounding

T_{0} = Initial temperature

t =duration of cooling

k = constant

103=0+(155-0)e^{-k\times 5}

103=155e^{-5k}

Now take natural log on both the sides

ln(103)=ln(155e^{-5k})

ln(103)=ln(155)+ln(e^{-5k})

ln(103)=ln(155)=-5k

4.6347 - 5.0434 = -5k

k=\frac{0.40872}{5}

k = 0.0817

T(t)=0+(155-0)e^{(0.0817\times 15)}

   = 155e^{-1.226}

   = 155 (02935)

  = 45.49 ≈ 45.50° F

8 0
3 years ago
A deli sells 2 hot dogs for $2.50. What is the constant of proportionality of dollars per hot dog?
attashe74 [19]

Answer:

$1.25 per hot dog

Step-by-step explanation:

6 0
3 years ago
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Express each equation in the form y = mx + b: 5x + y – 3 = 0
Aleks [24]

Answer:24

Step-by-step explanation:

7 0
3 years ago
Who ever gets this right will get a brainlest
zepelin [54]

Answer:

<1 and <2

<3 and <2

<1 and <4

Step-by-step explanation:

Adjacent angles are angles that are next to each other. In essence, they would share one aside in common. In this problem, the answers are the following,

<1 and <2

<3 and <2

<1 and <4

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3 years ago
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