I need help with number 5

Mathematics

1 answer:

jonny [76]3 years ago

8 0

She needs to make 4 times as much so she needs 4 times as much yellow paint: 2x4=8

She needs 8 ounces of yellow paint :)

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A pair of shoes cost $95. If the shoes are at a 30% discount and the sales tax is 7%, how much would you end up paying for the s

SCORPION-xisa [38]

If the shoes cost 95 dollars and are at a 30% discount then we know that the shoes cost 70% of its original price. we would write this as 95 x .7 which is 66.50 dollars. The tax would up the price. To do this we need to add a 1 to whatever the tax percentage is. this would then be written as 1.07 x 66.50 and the answer is 71.155. since you can’t pay that amount you have to round up to the near test hundredth. Since the number in the thousandth spot is 5, we round up making your final price 71.16 dollars.

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3 years ago

What is log(z^4/5) written in expanded form?

Ostrovityanka [42]

To get answer:

$\mathrm{Apply\:log\:rule}:\quad \log _c\left(\frac{a}{b}\right)=\log _c\left(a\right)-\log _c\left(b\right)\\\log _{10}\left(\frac{z^4}{5}\right)=\log _{10}\left(z^4\right)-\log _{10}\left(5\right)\\=\log _{10}\left(z^4\right)-\log _{10}\left(5\right)\\\mathrm{Simplify}\:\log _{10}\left(z^4\right)\\\log _{10}\left(z^4\right)\\\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0\\=4\log _{10}\left(z\right)\\$

Answer: $4\log _{10}\left(z\right)-\log _{10}\left(5\right)$

Answer: 4logz−log5

4 0

4 years ago

Give 3 negative numbers and 2 positive numbers with the sum of 30.

bonufazy [111]

20+20-3-3-4 the 3 3 and 4 are beagative numbers

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3 years ago

8. An Isosceles triangle HIJ has sides HI and HJ as 19 meters each. If angle I and angle J are 67 degrees, what is the distance

PtichkaEL [24]

Answer:

$IJ=14.8$

Step-by-step explanation:

In a triangle the sum of all angle measures is always 180 degrees

$A+B+C=180$

$2(67)+C=180$

$C=46$ degrees

By splitting the isosceles triangle down the middle we can calculate the base

So ∠H = 23°, ∠K = 90°, ∠J = 67°, HJ = 19

With this we can solve for half of the base. the trig function will need to use is sin, since the side opposite of ∠H will be part of the base. $sin=\frac{opposite}{hypotenuse}$