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4 years ago

14

Three times a number, minus 5 is equal to two times the number, plus 7

1 answer:

vitfil [10]4 years ago

6 0

3x - 5 = 2x + 7 i call the number "x"
3x = 2x + 12
1x = 12
x = 12 the number is 12

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A trip from nyc to seattle is 2;852.1 miles . A family want to make the drive in 10 days

stepan [7]

You would do 2,852.1÷10=285.21 miles a day

8 0

3 years ago

Suppose corn chips cost 28.5 cents per ounce. If a bag costs $3.75, how many ounces are in the bag of chips? Round to the neares

ki77a [65]

13.16oz are in the bag because $3.75÷$0.285 is 13.16oz

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3 years ago

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In the adjoining figure , APB and AQC are equilateral triangles. Prove that PC = BQ. ( Hint : <img src="https://tex.z-dn.net/?f=

just olya [345]

Answer:

See Below.

Step-by-step explanation:

Statements: Reasons:

$\displaystyle 1)\text{ } \Delta APB \text{ and } \Delta AQC \text{ are equilateral triangles}$ Given

$\displaystyle 2) \text{ } m \angle PAB = 60$ Definition of equilateral.

$3)\text{ } m \angle QAC = 60$ Definition of equilateral.

$4)\text{ } m\angle PAB = m\angle QAC$ Substitution

$5)\text{ } m\angle PAC=m\angle PAB+m\angle BAC$ Angle Addition

$\displaystyle 6)\text{ } m\angle QAB=m\angle QAC+m\angle BAC$ Angle Addition

$7)\text{ } m\angle QAB=m\angle PAB+m\angle BAC$ Substitution

$\displaystyle 8)\text{ } m\angle PAC=m\angle QAB$ Substitution

$9)\text{ } PA=BA$ Definition of equilateral

$10)\text{ } AC=AQ$ Definition of equilateral

$\displaystyle 11)\text{ } \Delta PAC \cong \Delta BAQ$ Side-Angle-Side Congruence*

$\displaystyle 12)\text{ } PC=BQ$ CPCTC

* SAS Congruence:

PA = BA

∠PAC = ∠QAB

AC = AQ

6 0

3 years ago

Read 2 more answers

You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you beli

zhuklara [117]

Answer:

We need to sample at least 1069 parents.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How many parents do you have to sample?

We need to sample at least n parents.

n is found when $M = 4, \sigma = 79.5$ . So

$M = z*\frac{\sigma}{\sqrt{n}}$

$4 = 1.645*\frac{79.5}{\sqrt{n}}$

$4\sqrt{n} = 1.645*79.5$

$\sqrt{n} = \frac{1.645*79.5}{4}$

$(\sqrt{n})^{2} = (\frac{1.645*79.5}{4})^{2}$

$n = 1068.92$

Rounding up

We need to sample at least 1069 parents.

6 0

3 years ago

Read 2 more answers

(((QUICK QUESTION-WILL GIVE BRAINLYEST)))

svetoff [14.1K]

Given:

Point (7,12) is rotated 1260° counterclockwise about the origin.

To find:

The x-coordinate of the point after this rotation.

Solution:

If a point is rotated 360 degrees then its coordinates remains unchanged.

If a point is rotated 180 counterclockwise about the origin degrees, then

$(x,y)\to (-x,-y)$

We know that,

$1260^\circ=1080^\circ+180^\circ$

$1260^\circ=3\times 360^\circ+180^\circ$

After $3\times 360^\circ$ rotation the coordinates of points remains same, i.e., (7,12). So, after that (7,12) is rotated 180° counterclockwise about the origin.

$(7,12)\to (-7,-12)$

The point (7,12) becomes (-7,-12) after rotation of 1260° counterclockwise about the origin.

Therefore, the x-coordinate of the required point is -7.

3 0

3 years ago