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3 years ago

The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?

Mathematics

1 answer:

Sunny_sXe [5.5K]3 years ago

4 0

Answer:.OA. -4

Step-by-step explanation:

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Only need to answer question 1 but if you can pls answer both

algol [13]

Use the app photo map

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4 years ago

What's the simplified form of this expression? 3-[-2/3 x (7 +2) =11]

svetoff [14.1K]

Answer:

x = 4/3

Step-by-step explanation:

7 0

3 years ago

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy

vladimir1956 [14]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

$cos(Y)=\frac{ZY}{XY}$ ---> adjacent side divided by the hypotenuse

substitute the values

$cos(30\°)=\frac{ZY}{4}$

Remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{ZY}{4}$

$ZY=(4)\frac{\sqrt{3}}{2}$

$ZY=2\sqrt{3}\ units$

step 2

$sin(Y)=\frac{XZ}{XY}$ --> opposite side divided by the hypotenuse

substitute the values

$sin(30\°)=\frac{XZ}{4}$

Remember that

$sin(30\°)=\frac{1}{2}$

$\frac{1}{2}=\frac{XZ}{4}$

$XZ=2\ units$

step 3

$tan(Y)=\frac{XZ}{ZY}$ --> opposite side divided by adjacent side

substitute the values

$tan(Y)=\frac{2}{2\sqrt{3}}$

$tan(Y)=\frac{1}{\sqrt{3}}$

Simplify

$tan(Y)=\frac{\sqrt{3}}{3}$

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

7 0

3 years ago

Read 2 more answers

Compare the fractions. 4/7 1/6.<br> a. ><br> b. =<br> c.

BabaBlast [244]

To start with, write both fractions with same denominator, i.e LCM of 6 and 7
Thus,
4/7=24/42

1/6=7/42
This means 4/7 is greater than 1/6
The answer is thus a

4 0

3 years ago

Read 2 more answers

Following a group of truck drivers and noting the number of miles traveled for one year refers to which type of statistical stud

maria [59]

Considering that the data is only noted and not changed, this is an example of an observational study.

<h3>What are observational and experimental studies?</h3>

Experimental study: In an experimental study, there is an intervention in a sample, and it's effect is studied.

Observational study: In an observational study, the sample is just analyzed, without any intervention.

In this problem, the data, which is the number of miles traveled, is only analyzed, no interventions are made, hence this is an example of an observational study.

More can be learned about observational studies at brainly.com/question/24321224

#SPJ1

6 0

2 years ago