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3 years ago

15

elena finds that the area of a house on a scale drawing is 25 square inches. the actual area of the house is 2,025 square feet.

what is the scale drawing?

2 answers:

zavuch27 [327]3 years ago

8 0

Answer: 2,025/25=81

81 is the scale factor

Ilia_Sergeevich [38]3 years ago

6 0

Answer:

81 is the scale of drawing.

Step-by-step explanation:

Area of the house in drawing = A = $25 inch^2$

Let the factor by which scaling is present in the drawing be s.

Area of the house in reality = A' = $2025 feet^2$

$s\times A=A'$

$s\times 25 inches^2=2025 feet^2$

$\frac{2025}{25 }=81$

81 is the scale of drawing.

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Jason jogged 2/3 mile in 1/3 hour. What was his speed in miles per hour?

fenix001 [56]

Answer:

I honestly was having the worst time trying to solve this sorry :(, for real idk if any of these are right

i got 2 answers; 1st: ≈0.5 mph

the 2nd; 2 mph

Step-by-step explanation:

Speed = $\frac{Distance}{Time}$

2/3 miles = 3520 feet

1/3 hours = 20 minutes

------Make a proportion-----

$\frac{3520ft}{20min} = \frac{1 mi=5280 ft}{1hr = 60min}$

cross multiply------

3520 * 60 = 211200

5280 * 20 = 105600

Divide $\frac{211200}{105600}= 2$

---(this is where i got confused cuz 2 doesn't make any sense)--

If you flip them, $\frac{105600}{211200}=0.5$ which makes more sense

hope i helped :(

7 0

2 years ago

Using a rounded version of a conversion ratio allows for a quick estimate of a unit conversion

dolphi86 [110]

The conversion ratio that can be illustrated will be converting 2030m to kilometers.

<h3>How to illustrate the conversion?</h3>

The unit conversion that can be illustrated based on the information can be convert 2030m to kilometers.

It should be noted that 1000 meters makes 1 kilometer. Therefore, rounding up 2030m mentally will be 2000m and the conversion to kilometers will be:

= 2000/1000

= 2 km

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6 0

1 year ago

What is the exact time t, in years, needed for the balance of an account that earns 5% annual 8. Interest compounded continuousl

Brums [2.3K]

Answer:

It takes 22.52 years for the balance to triple in value.

Step-by-step explanation:

Continuous compounding:

The amount of money earned using continuous compounding is given by the following equation:

$A(t) = A(0)(1+r)^t$

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

Interest rate of 5%.

This means that $r = 0.05$ , and thus:

$A(t) = A(0)(1+r)^t$

$A(t) = A(0)(1+0.05)^t$

$A(t) = A(0)(1.05)^t$

Time for the balance to triple?

This is t for which $A(t) = 3A(0)$ . So

$A(t) = A(0)(1.05)^t$

$3A(0) = A(0)(1.05)^t$

$(1.05)^t = 3$

$\log{(1.05)^t} = \log{3}$

$t\log{1.05} = \log{3}$

$t = \frac{\log{3}}{\log{1.05}}$

$t = 22.52$

It takes 22.52 years for the balance to triple in value.

3 0

3 years ago

A group of friends wants to go to the amusement park. They have $87.25 to spend on parking and admission. Parking is $6.25, and

Snezhnost [94]

Answer:

p = 3

Step-by-step explanation:

27p + 6.25 = 87.25

- 6.25 -6.25 = 27p + 0 = 81 = 27p = 81

81/27 = 3

p = 3

4 0

2 years ago

What is the answer to |x-4|<13

VARVARA [1.3K]

Answer:

<h2>The solution is -9 < x < 17.</h2>

Step-by-step explanation:

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The above equation means, whatever the actual value of x is, the value of (x - 4) must be greater than - 13 and less than 13.

Hence, -13 < x - 4 < 13 or, -9 < x < 17. The value of x will be in between -9 and 17. The value of x can not be -9 or 17.

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3 years ago