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3 years ago

What two number multiple to get -72 and add up to -6

Mathematics

1 answer:

hammer [34]3 years ago

7 0

Answer:

6 and -12

Step-by-step explanation:

6×-12=-72

6+(-12)=-6

×^2 -6x-72=0

(x+6) (x-12)

x^2-6x-72=(x+6) (X-12)

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1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of v

zhenek [66]

Answer:

(1) The required ratio of spirit to varnish is 1:3.

(2) You need 80 ml of mineral spirit.

(3) The ratio of tapestries' heights to width is 3:2.

Step-by-step explanation:

(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.

So, $\frac{spirit}{varnish}=\frac{25}{75}$

$=\frac{1}{3}$

Thus, The required ratio of spirit to varnish is 1:3.

(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.

Let $x$ be the quantity of total solution.

Then, $240:x=3:4$ .

⇒ $\frac{240}{x}=\frac{3}{4}$

⇒ $3x=240*4$

⇒ $x=\frac{240*4}{3}$

⇒ $x=320$

That is, total solution is 320 ml.

Now, Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.

(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.

Then, dimensions are 15m long and 10m wide.

Now, Height : Width = 15:10

⇒ $\frac{Height}{Width} =\frac{15}{10}$

⇒ $\frac{Height}{Width} =\frac{3}{2}$

Hence, the ratio of tapestries' heights to width is 3:2.

8 0

3 years ago

How do I find the quotient for 42.6 ÷ 0.07

OLga [1]

Answer:

Step-by-step explanation:

42.6 divided by 0.07 is 608.571428

Regular division.

5 0

3 years ago

A survey of

Zina [86]

Answer:

0.0208<p<0.0592

Step-by-step explanation:

-Given the sample size is 400 and the desired proportion is 16.

-The confidence interval can be determined as follows:

$CI=\hat p\pm z\sqrt{\frac{\hat p(1-\hat p}{n}}\\\\\hat p=x/n=16/400=0.04$

#We the use this proportion to find the CI at 95%:

$CI=0.04\pm 1.96\times \sqrt{\frac{0.04(1-0.04)}{400}}\\\\=0.04\pm 0.0192\\\\=[0.0208,0.0592]$

Hence, the 95% confidence interval is 0.0208<p<0.0592

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4 years ago

What is <br><br> 88x3-7+198-34x15+76-126=

PilotLPTM [1.2K]

-105

Multiply first, then subtract, then add.

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3 years ago

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Suppose a group of dancers performed the Round Dance at an Indigenous Peoples' Day

love history [14]

Answer:

4.27 meters

Step-by-step explanation:

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