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PtichkaEL [24]
3 years ago
13

Jade can travel 42 miles in 4 hours. Please calculate Jade's rate of speed. (round to 2 decimal places)

Mathematics
2 answers:
zubka84 [21]3 years ago
8 0
C. 10.5 miles per hour
mel-nik [20]3 years ago
7 0
C. 10.5 miles per hour
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The length of a rectangular mural is 2 ft more than three times the height. The area is 165 ft^2. Find the height of the mural.
NISA [10]

Answer:

x=-1±4√31/3 ft is the height

Step-by-step explanation:

let the height be x ft.

then the length would be 3x+2

area = L*H= x(3x+2)

165=3x²+2x

0= 3x²+2x -165

dividing the whole equation by 3

0=x²+2x/3-55

(x)²+2(x)(1/3) +(1/3)² -55 -(1/9)=0

(x+1/3)²- 495-1/9=0

(x+1/3)²= 496/9

taking square root on both sides

(x+1/3)= ±4√31/3

x= ±4√31/3-1/3

x=-1±4√31/3 ft is the height

5 0
4 years ago
WILL MAKE BRAINLIEST!! Solve for x.
MaRussiya [10]

3x + 2 = 47 \\ 3x = 47 - 2 \\ 3x = 45 \\ x =  \frac{45}{3}  = 15

3 0
2 years ago
water is pouring down into a cuboidal reservoir at the rate of 60 liters per minute.if the volume of the reservoir is 108m cube,
cricket20 [7]

Answer:

<u>30 hours</u> it will take to fill the reservoir.

Step-by-step explanation:

Given:

Water is pouring down into a cuboidal reservoir at the rate of 60 liters per minute.

The volume of the reservoir is 108 m³.

Now, to find the number of hours it will take to fill the reservoir.

As given the rate is liters per minute so we convert the volume into liters:

1 m³ = 1000 liters.

Thus, 108 m³ = 1000 × 108 = 108000 liters.

So, the volume of reservoir  = 108000 liters.

And the rate of water pouring down = 60 liters per minute.

Now, to get the number of hours to fill the reservoir:

\frac{volume\ of\ reservoir}{rate\ of\ water\ pouring\ down}

=\frac{108000}{60}

=1800\ minutes.

Now, to convert the 1800 minutes to hours by dividing 1800 by 60 as 1 hour is equal to 60 minutes:

\frac{1800}{60}

=30\ hours.

Therefore, 30 hours it will take to fill the reservoir.

4 0
3 years ago
f 20% of the population are homozygous for the scalp-wiggling allele •(qq, or q 2), then what proportion of the population is ho
11Alexandr11 [23.1K]

Answer:

The proportion of the population that is homozygous for the non-wiggling allele is 0.3056.

Step-by-step explanation:

Denote the variables as follows:

<em>q²</em> = number of people who are homozygous for the scalp-wiggling allele.

<em>p²</em> = number of people who are homozygous for the non-wiggling allele.

It is provided that the proportion of the population who are homozygous for the scalp-wiggling allele is, <em>q²</em> = 0.20.

Compute the value of <em>q</em> as follows:

q^{2}=0.20\\q=\sqrt{0.20}\\=0.4472

Compute the value of <em>p</em> as follows:

p=1-q\\=1-0.4472\\=0.5528

Compute the proportion of the population who are homozygous for the non-wiggling allele as follows:

p^{2}=(0.5528)^{2}=0.30558784\approx0.3056

Thus, the proportion of the population that is homozygous for the non-wiggling allele is 0.3056.

7 0
3 years ago
a certain drug is made from only two ingredients: compound A and comppund B. There are 5 milliliters of compound A used for ever
yaroslaw [1]
4:5 is the same as 4x:5x where 4x is compound A and 5x is compound B.
---
Solve for "x":
If amount of compound A is 4x = 477
x = 477/4
Then amt of compound B is 5x = 5(477/4) = 596.25 ml
7 0
3 years ago
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