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3 years ago

URGENT

1 answer:

3 0

Let's have Steve's age be x, and his father's age be f
Then, we can set up equations
Steve is one-fourth as old as his father goes to an equation as x=(1/4)f
In five years (x+5), Steve will be one-third as old as his father will be (f+5). This goes to an equation as x+5=(1/3)(f+5)
We can then solve the first equation for either variable (I will be doing f), and plug it in for a system of equations.

x=(1/4)f
4x=f ← plug that in for f in the next equation

x+5 = (1/3)(4x+5) ← Solve this for x
3(x+5)=4x+5
3x+15=4x+5
3x+10=4x
10=1x
x=10

Therefore, Steve's age is 10. His father's age is f=4x, plug in 10 for x, and his father's age is 40

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One reading at an Arctic research station showed that the temperature was -35° C. What is this temperature in degrees Fahrenheit

tangare [24]

Answer: $-31\ \°F$

Step-by-step explanation:

Degrees Celsius and Degrees Fahrenheit are defined as units of measurement of temperature.

In order to make the conversion from Degrees Celsius to Degrees Fahrenheit, you need to follow these steps:

Step 1: You must multiply the temperature in degrees Celsius by $\frac{9}{5}$ (or you can multiply it by 1.8).

Step 2: Then you must add 32 to the product obtained.

In this case, according to the information given in the exercise, you know that the reading at an Arctic research station showed that the temperature was $-35\°C$

Therefore, applying the steps indicated before, you get that that temperature in degrees Fahrenheit is:

$T_{(\°F)}=(-35)(\frac{9}{5})+32\\\\T_{(\°F)}=-31\ \°F$

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4 years ago

The function f(x) varies directly with x and f(x)=90 when x = 30. What is f(x) when x = 6?

maria [59]

Answer: just took the test f(x) = 18

Step-by-step explanation:

5 0

4 years ago

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The length of a rectangle is twice its width. if the perimeter of the rectangle is 48 yd , find its area.

Katarina [22]

X = width
2x = length

2x + 4x = 48
6x = 48
x = 8
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7 0

3 years ago

Simplify (3a^4b^3)^3

tatiyna

Answer:

Step-by-step explanation:

(3a^4b^3)^3

=3^3a^4*3b^3*3

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3 years ago

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Find QD if QB=21 and PC=11

alexdok [17]

Answer:

The answer to your question is: 21

Step-by-step explanation:

Data

AB = BC = CD

BQ = 21

QD = ?

PC = 11

Process

Here there are 2 triangles

ΔQCB and ΔQCD

These triangles share one side QC

And one side measures the same BC = CD

And the ∠ BCQ = ∠ DCQ

Then these triangles are congruents SAS

if QB = 21 then QD = 21

4 0

4 years ago

**URGENT**

URGENT