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3 years ago

what number must be added to 3 and 8 so that the ratio of the first number to the second number is equal to 3 :4

Mathematics

1 answer:

Grace [21]3 years ago

3 0

The answer is 12.
Steps
If that number is x
(3+x)/(8+x)=3/4
"Cross multply"
4(3+x)=3(8+x)
12+4x=24+3x
x=12
To check: add 12 to 3 and 8. 3+12=15 and 8+12=20. 15/20=3/4

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VERIFY. Convert 2.35 pounds to ounces (lb = 16 oz). Check to see if your answer is reasonable

astra-53 [7]

40 ounces thanks for helping me

8 0

3 years ago

The temperature dropped 5 degrees every hour during 8 hours. How much the temperature drop in all?

Murrr4er [49]

Answer:

<h3>40 degrees</h3>

Step-by-step explanation:

If the temperature dropped 5 degrees every hour, this can be expressed as;

5 degree = 1 hour

To get the total number of degree dropped fro 8hours, we will say;

x degree = 8hours where x is the temperature drop in all

Solving both equality

5 degree = 1 hour

x degree = 8 hours

cross multiply

x * 1 = 5 * 8

x = 40 degrees

<em>Hence the total temperature drop in all is 40°</em>

7 0

3 years ago

Need help ASAP please and thank you

noname [10]

Answer:

$-3m^{12}{n^{6} }$

Step-by-step explanation:

To begin simplifying this, we can first divide the coefficients, giving us:

$\frac{-3m^{5}n^{4} }{m^{-7} n^{-2} }$

We know that when dividing exponents, this means we need to subtract the exponent on the denominator from the numerator. This gives us:

$\frac{-3m^{5+7} n^{4+2} }{1}$

Now, simplifying this gets:

$-3m^{12}{n^{6} }$

8 0

3 years ago

Use △XYZ, in which ∠X is a right angle and tanY=815.

Neporo4naja [7]

Answer:

8/17

Step-by-step explanation:

The correct and complete question is:

<em>Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?</em>

From definition:

tan(Y) = opposite/adjacent

From the graph and the question:

tan(Y) = XZ/XY = 8/15

Then:

XZ = 8 and XY = 15. Using pytaghorean theorem:

XZ² + XY² = YZ²

8² + 15² = YZ²

√289 = YZ

17 = YZ

From definition:

sin(Y) = opposite/hypotenuse

From the graph:

sin(Y) = XZ/YZ

sin(Y)= 8/17

8 0

3 years ago

Y = x^2+ 7x - 5 can be written in the form y = (x + a)^2+b

BARSIC [14]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = (x - h)² + k (h, k) are the coordinates of the vertex

Given y = x² + 7x - 5

To express in vertex form use the method of completing the square

add/subtract ( half the coefficient of the x- term )²

y = x² + 2( $\frac{7}{2}$ )x + $\frac{49}{4}$ - $\frac{49}{4}$ - 5

y = (x + $\frac{7}{2}$ )² - $\frac{49}{4}$ - $\frac{20}{4}$

y = (x + $\frac{7}{2}$ )² - $\frac{69}{4}$

Hence

a = $\frac{7}{2}$ and b = - $\frac{69}{4}$

8 0

3 years ago

what number must be added to 3 and 8 so that the ratio of the first number to the second number is equal to 3 :4​

what number must be added to 3 and 8 so that the ratio of the first number to the second number is equal to 3 :4