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Papessa [141]
3 years ago
9

Y varies directly as x if x=15 when y=20, find x when y=30

Mathematics
1 answer:
mixas84 [53]3 years ago
6 0

Answer:

X=22.5

Step-by-step explanation:

Y=kX

20=15k

k=4/3

For X when Y=30

30=4/3×X

Cross multiply

4X=90

X=22.5

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Evaluate the following.<br> (iii) sin 30° + tan 40° - cosec 60° / cot 45° + cos 60° - sec 30°​
bearhunter [10]

Sin 30 = 1/2

tan 45 = 1

Cosec 60 = 2 / √3 = 2√3 / 3

cot 45 = 1

Cos 60 = 1/2

sec 30 = 2 / √3 = 2√3 / 3

_______________________________

[ 1/2 + 1 - 2√3/3 ] ÷ [ 1 + 1/2 - 2√3/3 ] = <em>1</em>

The face and denominator of the fraction are exactly the same thus the answer is 1 .

4 0
3 years ago
Perry is buying an I phone that is a sale for 40% off the original price.after he uses a $25 gift card.the total cost before tax
marta [7]

Answer:

$599

Step-by-step explanation:

Given: Discount- 40% off on original price.

           Gift card= $25

           Total cost before taxes is $334.40

Lets assume the original price be "x".

We know there is 40% on original price and Perry uses $25 gift card.

Remember; Total cost= Original\ price- discount- gift\ card

Now, finding the original price of Iphone.

⇒ x-0.40x-25= 334.40

⇒ 0.60x-25= 334.40

Adding both side by 25

⇒0.60x= 334.40+25

⇒0.60x= 359.4

Dividing both side by 0.60

⇒ x= \frac{359.4}{0.60}

∴ x= 599

Hence, the original price of iphone is $599

5 0
3 years ago
A quantity b varies jointly with c and d and inversely with eWhen b is 18, c is 4, d is 9, and e is 6What is the constant of var
777dan777 [17]

Answer:

constant of variation = 3

Step-by-step explanation:

we know that b varies jointly with c and d

so:

b∝c∝d

and b varies inversely with e, so

b∝\frac{1}{e}

and i will call the constant of variation k, this way we can make an equation for b in the following form:

b=k\frac{cd}{e}

this satisfy that b varies jointly with c and d (if b increases, c and d also increase) and inversely with e (if b increases, e decreases)

we know that when b is 18, c is 4, d is 9, and e is 6:

b=18\\c=4\\d=9\\e=6

substituting this in our equation for b:

b=k\frac{cd}{e}\\ 18=k\frac{(4)(9)}{6}

and we solve operations and clear for the constant of variation k:

18=k\frac{36}{6}\\ 18=6k\\\frac{18}{6}=k\\ 3=k

the constant of variation is 3.

4 0
3 years ago
Read 2 more answers
Hayley is buying herbs. She wants to buy   ounce of basil. The scale she is using to weigh the basil displays the weight as
victus00 [196]

Complete question :

Hayley is buying herbs. She wants to buy 5/6  ounce of basil. The scale she is using to weigh the basil displays the weight as a decimal. How will she know when the display on the scale is correct to the tenths place? Explain your reasoning.

Answer:

0.8

Step-by-step explanation:

To obtain the fractional expression of weight in decimal form:

5/ 6 ounce of bassil is converted into decimal :

5 / 6 = 0.8333

Hence, for a fraction of 5 /6, we obtain;

5/6 = 0.8333

To the nearest tenth :

0.8

7 0
3 years ago
Twenty pounds of a salt-water solution contains fifteen percent salt. How much salt is in the water?
SVETLANKA909090 [29]
It is 15% of 20 pound water
15/100x20
3lb
5 0
3 years ago
Read 2 more answers
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