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4 years ago

21/8 as a mixed number

Mathematics

1 answer:

77julia77 [94]4 years ago

8 0

$\frac{21}{8} = \frac{16}{8} + \frac{5}{8} =2 \frac{5}{8}$

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Which equation represents a line that passes through (4, 5) and has a slope of ?

Nadusha1986 [10]

Answer:

Step-by-step explanation:

To find the answer, we can use the point-slope form:

$y-y_1=m(x-x_1)$

Where (x₁, y₁) is a point and m is our slope.

Let's let our point (4, 1/3) be (x₁, y₁) respectively.

We also know that our slope is 3/4. So, substitute 3/4 for m.

This yields:

$y-\frac{1}{3}=\frac{3}{4}(x-4)$

The choice that represents this is B.

So, our correct answer is B.

And we're done!

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3 years ago

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Hansel opened a bank account. He deposited $52.50 into his account every month for 10 months. He used $20.50 every month to pay

Maksim231197 [3]

$52.50 and subtract $20.50 to get $32 and multiply that by 10 (months) to get $320 and divide it by 2 and your final answer is; $160.00

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3 years ago

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Solve each equation by completing the square. If necessary, round to the nearest hundredth.

Ksenya-84 [330]

$1.)\\ \\ b^2+10b=75\\ \\ b^2+10b-75=0\\ \\\Delta = b^{2}-4ac = 10^{2}-4*1*(75)=100+300=400 \\ \\\sqrt{\Delta }=\sqrt{400}=20$

$b_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{-10-20}{2}=\frac{-30}{2}=-15\\ \\b_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{-10+20}{2}=\frac{10}{2}=5$

$2.)\\ \\ n^2-20n=-75\\ \\ n^2-20n+75=0\\ \\\Delta = b^{2}-4ac = (-20)^{2}-4*1*75=400-300=100 \\ \\\sqrt{\Delta }=\sqrt{100}=10$

$n_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{20-10}{2}=\frac{10}{2}=5\\ \\n_{2}=\frac{-b+\sqrt{\Delta }}{2a} \frac{20+10}{2}=\frac{30}{2}=15$

$3.)\\ \\t^2+8t-9=0\\ \\\Delta = b^{2}-4ac = 8^{2}-4*1* (-9)=64+36=100 \\ \\\sqrt{\Delta }=\sqrt{100}=10$

$t_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{-8-10}{2}=\frac{-18}{2}=-9\\ \\t_{2}=\frac{-b+\sqrt{\Delta }}{2a} \frac{-8+10}{2}=\frac{2}{2}=1$

$4.)\\ \\m^2-2m-8=0\\ \\\Delta = b^{2}-4ac = (-2)^{2}-4*1* (-8)=4+32=36\\ \\\sqrt{\Delta }=\sqrt{36}=6$

$m_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{2-6}{2}=\frac{-4}{2}=-2\\ \\m_{2}=\frac{-b+\sqrt{\Delta }}{2a}= \frac{2+6}{2}=\frac{8}{2}=4$

$5.)\\ \\ v^2+4v-2=0\\ \\\Delta = b^{2}-4ac = 4^{2}-4*1* (-2)=16+8=24\\ \\\sqrt{\Delta }=\sqrt{24}= \sqrt{4*6}=2\sqrt{6}$

$v_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{-4-2\sqrt{6}}{2}=\frac{2(-2-\sqrt{6}}{2}= -2-\sqrt{6}\approx -2-2,45\approx -4,45\\ \\v_{2}=\frac{-b+\sqrt{\Delta }}{2a}= \frac{-4+2\sqrt{6}}{2}=\frac{2(\sqrt{6}-2}{2}= \sqrt{6}-2 \approx 2,45-2\approx 0,45$

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3 years ago

PLEASE HELP ME!!!!I NEED HELP

ycow [4]

just plug the numbers on the graph like (2,50)

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3 years ago

The number of days, d, to build a house is given by

Alenkasestr [34]

Answer:

Step-by-step explanation: 7 more workers

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3 years ago