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Anna71 [15]
3 years ago
15

Evaluate the expression when x = 3 and y=-7. x-8y

Mathematics
1 answer:
Simora [160]3 years ago
4 0

Answer: 59

Step-by-step explanation:

3 - 8(-7)

3 - (-56)

3 + 56 = 59

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3 1/2 divided by 2 3/5
melomori [17]

Step-by-step explanation:

31/2×5/23 (use reciprocal)

31×5=155

155÷46=3.369565217

155/46

3 and 17/46

8 0
3 years ago
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If sec theta = - √30 / 3, find cos theta.<br> if sin(-theta) = -0.97, find cos (π/2 - theta).
Cloud [144]

Step-by-step explanation:

\cos \theta  =  \frac{1}{ \sec\theta }  =  -  \frac{3}{ \sqrt{30} }  =  -  \frac{3 \sqrt{30} }{30}   =  -  \frac{ \sqrt{30} }{10}

\cos( \frac{\pi}{2} -  \theta )=  \cos \frac{\pi}{2}  \cos \theta  +   \sin \frac{\pi}{2}  \sin \theta

Note that

\sin( - \theta) =  -  \sin \theta

\cos \frac{\pi}{2}  = 0 \:  \:  \:  \:  \:  \sin \frac{\pi}{2}  = 1

Therefore,

\cos( \frac{\pi}{2} -  \theta )  = 0.97

5 0
3 years ago
3. Arrange these numbers from least to greatest. <br> -2.5<br> -1/3 1.7 27/4 -0.9
Svet_ta [14]

Answer:      -2.5,, -0.9,, -1/3,, 1.7,, 27/4

Step-by-step explanation:

6 0
3 years ago
A metallurgist has an alloy with 5% titanium and an alloy with 30% titanium. He needs 100 grams of an alloy with 15% titanium. H
andrey2020 [161]
Let us convert the percentages to decimal format first.. so 5% is just 5/100 or 0.05 and 15% is just 15/100 or 0.15

so hmmm, so, let's say it needs "x" amount and "y" amount of each respectively, so, whatever "x" and "y" are, they must add up to 100, and whatever their concentration is, must add up to what the mixture yields

thus

\bf \begin{array}{lccclll}&#10;&amount&concentration&&#10;\begin{array}{llll}&#10;concentrated\\&#10;amount&#10;\end{array}\\&#10;&-----&-------&-------\\&#10;\textit{5\% alloy}&x&0.05&0.05x\\&#10;\textit{30\% alloy}&y&0.30&0.3y\\&#10;-----&-----&-------&-------\\&#10;mixture&100&0.15&15&#10;\end{array}&#10;\\\\\\&#10;\begin{cases}&#10;x+y=100\implies \boxed{y}=100-x\\&#10;0.05x+0.3y=15\\&#10;----------\\&#10;0.5x+0.3\left( \boxed{100-x} \right)=15&#10;\end{cases}

solve for "x"

what's "y"? well, y = 100 - x
4 0
3 years ago
What is 11/12 - 2/3 <br> Subtracting Proper Fractions
alexgriva [62]

Answer:

0.25

Step-by-step explanation:

11/12 = 0.917

2/3 = 0.667

0.917 - 0.667 = 0.25

4 0
2 years ago
Read 2 more answers
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