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lakkis [162]
3 years ago
8

Uni made a model of a 1970 Ford Mustang using a scale of .5 inches = 9 in. If the actual car is 15 ft long, how long is the mode

l car?
Mathematics
1 answer:
kykrilka [37]3 years ago
7 0

Answer:

The model car is 10 inches long

Step-by-step explanation:

To solve this question, we use conversion of units

Feet to inches.

Each feet has 12 inches.

The car is 15ft long.

So the car has 15*12 = 180 inches.

.5 inches = 9 in.

Rule of three

.5 inches - 9 inches

x inches - 180 inches

9x = 180*0.5

9x = 90

x = \frac{90}{9}

x = 10

The model car is 10 inches long

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X<br>81** *34*=246<br><img src="https://tex.z-dn.net/?f=81x%20%2B%201%20%2B%203%7B4x%20%7D%20%3D%20246" id="TexFormula1" title="
anzhelika [568]

Answer:

x=\frac{1}{4}

Step-by-step explanation:

81^{x+1}+3^{4x}=246

81=3^4

Rewrite equation: 3^{4\left(x+1\right)}+3^{4x}=246

3^{4\left(x+1\right)}=3^{4x}\times 3^4

3^{4x}\times 3^4+3^{4x}=246

Factor out 3^{4x}:

3^{4x}\left(3^4+1\right)=246

Divide both sides by (3^4+1):

\frac{3^{4x}\left(3^4+1\right)}{3^4+1}=\frac{246}{3^4+1}

3^{4x}=\frac{246}{3^4+1}

3^{4x}=\frac{246}{82}

3^{4x}=3

Anything to the power of 1 is itself. Hence,

4x=1\\

x=\frac{1}{4}

3 0
3 years ago
Factor completely 2x^3+6x^2+10x+30
beks73 [17]

Answer:

2(x+3) (x^2 + 5)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
ABCD∼EFGH AD=45 in. , EH=75 in. , and AB=30 in. What is EF ?
Marrrta [24]
EF = 50 in.

In similar figures, corresponding sides are proportional.  We use the similarity statement ABCD~EFGH to write a proportion:

\frac{AB}{EF}=\frac{AD}{EH}&#10;\\&#10;\\ \frac{30}{x}=\frac{45}{75}

Cross multiply the proportion:
45*x = 75*30
45x = 2250

Divide both sides by 45:
45x/45 = 2250/45
x = 50
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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