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garik1379 [7]
3 years ago
11

On the blueprint of a house, 42 millimeters represents 8 meters. The actual length of the living room is 5 meters. What is its l

ength on the blueprint?
Mathematics
1 answer:
RideAnS [48]3 years ago
5 0

Answer:

26.25 mm

Step-by-step explanation:

On the blueprint of a house, 42 millimeters represents 8 meters. Thus,

42 mm - 8 m,

x mm - 5 m,

mathematically,

\dfrac{42}{x}=\dfrac{8}{5},\\ \\42\cdot 5=8x,\\ \\x=\dfrac{210}{8}=\dfrac{105}{4}=26.25\ mm.

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Which of the following does not dissolve in water​
xeze [42]

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mud

Step-by-step explanation:

4 0
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Kadeem rode his bike at a constant speed. He rode 1 mile in 5 minutes. Which equation represents the amount of time in minutes,
sashaice [31]

Answer:

A

Step-by-step explanation:

Speed is the rate of change of distance over time.

The equation represents the amount of time t is \mathbf{t = 5 d}t=5d

Speed is calculated using:

\mathbf{Speed = \frac{distance}{time}}Speed=timedistance

When distance = 1 mile, and time = 5 minutes.

We have:

\mathbf{Speed = \frac{1}{5}}Speed=51

When distance = d, and time = t

We have:

\mathbf{Speed = \frac{d}{t}}Speed=td

Substitute \mathbf{Speed = \frac{1}{5}}Speed=51

\mathbf{\frac{d}{t} = \frac 15}td=51

Cross multiply

\mathbf{t = 5 \times d}t=5×d

\mathbf{t = 5 d}t=5d

Hence, the equation represents the amount of time t is \mathbf{t = 5 d}t=5d

5 0
2 years ago
Read 2 more answers
What is f(x) = –4x2 + 24x + 13 written in vertex form? f(x) = –4(x – 6)2 + 23 f(x) = –4(x – 6)2 + 7 f(x) = –4(x – 3)2 + 4 f(x) =
nika2105 [10]
We have that
f(x) = –4x²<span> + 24x + 13
</span>
we know that

The vertex form for a parabola that opens up or down is:

f(x) = a(x - h)^2 + k

in the given equation, <span>a=-4</span><span>, therefore we add zero to the original equation in the form of </span><span>4h</span>²<span>−4h</span>²
f(x) = –4x² + 24x + 4h²−4h² +13
<span>Factor 4 out of the first 3 terms and group them 
</span>f(x) = –4*(x² -6x +h²) +4h² +13
<span>We can find the value of h by setting the middle term equal to -2hx
</span>−2hx=−6x
<span>h=3</span><span> and  </span><span>4h</span>²<span>=<span>36
</span></span>f(x) = –4*(x² -6x +9) +36 +13

we know that the term (x² -6x +9) is equals to------> (x-3)²
so
f(x) = –4*(x-3)² +49

the answer is
f(x) = –4*(x-3)² +49

 

4 0
3 years ago
I need help with this please
hoa [83]

Answer:

z = 113

y = 31

Step-by-step explanation:

j || n and line a is their transversal. (given)

Therefore,

z° = 180° - 67° (exterior angles on the same side of transversal)

z°= 113°

z = 113

(5y - 88)° = 67° (exterior alternate angles)

5y - 88 = 67

5y = 67 + 88

5y = 155

y = 155/5

y = 31

7 0
3 years ago
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