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Molodets [167]
3 years ago
7

Write an equation to show the best way to estimate 208 ÷ 7 using compatible numbers

Mathematics
1 answer:
Korvikt [17]3 years ago
5 0

Answer:

210 ÷7 = 30

Step-by-step explanation:

We can round the numbers to numbers that make the math easier

I will round 208 to 210

We know 21 divide by 7 is 3

210 ÷7 = 30

This is very close to the actual answer.

208÷7 = 29.71428571........

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Larry and Donna bought a sofa at the sale price of $1,344. The original price of the sofa was $1,920. Find the discount rate
velikii [3]

Answer:

30% discount

Step-by-step explanation:

To find the percent discount write a proportion.

\frac{1344}{1920}=\frac{x}{100}

Cross multiply numerator with denominator of each fraction to solve for x.

1344(100) = 1920(x)

134400 = 1920x

70 = x

This means you pay 70% of the price. The discount was 30%.

8 0
3 years ago
Find the sum of the roots of the quadratic x^2 + 7x - 13 = 0
Hoochie [10]

Answer:

-7

Step-by-step explanation:

You use the quadratic formula of ax^{2} +bx+c = 0 to get:

a = 1

b = 7

c = -13

then you plug that into x= (-b ± √b²-4ac)/(2a) :

x= ( -7 ± √7²- 4(1)(-13) )/(2(1))

x=-\frac{7}{2} + \frac{\sqrt{101}}{2} \\\\x=-\frac{7}{2} - \frac{\sqrt{101}}{2}

The sum of these two x values turns out to be:

x=-\frac{7}{2} + \frac{\sqrt{101}}{2}+( -\frac{7}{2} - \frac{\sqrt{101}}{2} )= -\frac{14}{2} = 7

6 0
3 years ago
You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th
neonofarm [45]

Answer:

Distance is 6.7units to the nearest tenth.

Explanation:

To solve this problem, we the distance formula. And this is given as:

D = \frac{|a x + b y + c|}{\sqrt{a^2 + b^2}}

We were given the equation:

y = 2 x + 4

This can also be rewritten as:

y – 2 x – 4 = 0.

Therefore, a = -2, b = 1 and c = -4

Also, we were given the points:

(x, y) = (–4, 11)

Making use of the above formula for distance, we have:

D = \frac{|-2\times -4 + 1\times 11 + -4|}{\sqrt{-2^2 + -4^2}}

D = \frac{15}{\sqrt{5}}

D = 6.7units (to the nearest tenth)

8 0
2 years ago
Please help with these two questions, will give thanks
AURORKA [14]

Answer:

Step-by-step explanation:

1. True

2. C

3 0
2 years ago
Graph from slope intercept form y=-1/3x+5
jolli1 [7]

Answer:

Attached image.

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8 0
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