If three times a number is increased by twenty-two, the result is fourteen less than seven times the number. Find the number.​

[tex]5x - (x - 2) \geq 2x - 4(x - 8)\\5x - x + 2 \geq 2x - 4x + 32\\5x - x - 2x + 4x \geq 32 - 2\\6x \geq 30\\x \geq 5\\[/tex]

Interval notation: [tex]x \in \lbrack 5, \infty \rangle[/tex]

Answer:

o resultado coreto é 59.001

Answer:

3rd option down

Step-by-step explanation:

Simplify the inequality and you should get this:

-48[tex]\leq[/tex]-5x+2<-18  

-2 .     -2 .       -2

-50[tex]\leq[/tex]-5x<-20

Divide by -5

Remember to switch places since we are dividing by a negative number

You should get this 4[tex]\leq[/tex]x<10

The only number line that shows that properly would be the 3rd one down.  

Answer:

c

Step-by-step explanation:

Answer:

Ok only if yo help me with my last question

Step-by-step explanation:

Answer:

Step-by-step explanation:

m<5 and m<4 are  supplementary angles => m<5 + m< 4 = 180

                                                                         m<4 = 180 -77 = 103

m<4 and m<2 are corresponding angles => m<4 = m<2 = 103

The measure of the angle m∠2 is 103.

The supplementary angles are defined as the angles having a sum of 180 degrees. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

In the given image the given angle is m∠5=77°. The measure of the angle m∠2 will be calculated by using some of the angle properties.

m∠5 and m∠4 are supplementary angles:-

m∠5 + m∠4 = 180

m∠4 = 180 -77 = 103

m∠4 and m∠2 are corresponding angles => m∠4 = m∠2 = 103

Therefore, the measure of the angle m∠2 is 103.

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Answer:

45 degrees

Step-by-step explanation:

Since the angle x and angle 135 degrees are supplementary, you just have to minus 135 from 180 which the answer is 45 degrees.

The value of the angle x will be equal to 45 degrees.

An endlessly long row of evenly spaced dots that spans in both directions makes up a line. Its length is the only dimension it has. A geometry called an angle is created when two line segments, lines, or rays intersect.

Given that the line is crossing the two parallel lines making an angle of 135 degrees with one line. The value of x will be calculated by using the supplementary angle property.

x + 135 = 180

x = 180 - 135

x = 45

Therefore, the value of the angle x will be equal to 45 degrees.

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Answer:

Perpendicular

Step-by-step explanation:

They are perpendicular because the slopes are negative reciprocals.

Answer:

They are neither.

Step-by-step explanation:

They intersect at a non- 90 degree angle, so it cannot be perpendicular or parallel.

Answer:  Choice D) [tex]x \ge -6[/tex]

=========================================================

Explanation:

Taking the square root of a negative number leads to a nonreal result.

So we want the radicand to be 0 or positive

Set the stuff under the square root to be 0 or larger. Solve for x.

[tex]\frac{1}{3}x+2 \ge 0\\\\\frac{1}{3}x \ge 0-2\\\\\frac{1}{3}x \ge -2\\\\x \ge 3(-2)\\\\x \ge -6[/tex]

If x is -6 or larger, then [tex]\frac{1}{3}x+2[/tex] is 0 or larger leading to some real number for f(x).

The inequality sign does not flip because we multiplied both sides by a positive number. The inequality sign only flips when we multiply both sides by a negative number.

Answer:

56mph

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

if you divide 18 by 3 you get six and if you divide 15 by 3 you get 5, so it simplifies to 6:3 which is the same as the ratio for rings

Answer:

you get a one cup measurments and pour milk to the 1

Step-by-step explanation:

ive done it before

Answer:

Step-by-step explanation:

Let m be the number of miles that evelyn can run in 60 minutes.

If evelyn can run 3 miles in 40 minutes, to calculate the number of miles she can run in 60 minutes, we will apply the equality postulate as shown;

3 miles = 40 minutes

m miles = 60 minutes

Cross multiply

40* m = 3* 60

40m = 180

Divide both sides by 40

40m/40 = 180/40

m = 180/40

m = 4.5 miles

The equation that can be used to find m is 40m = 180 and the value of m is 4.5miles

The correct verbal expression for 8n is "the product of 8 and n". therefore, option H is the correct choice.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
The correct verbal expression for 8n is "the product of 8 and n". Therefore, option H is the correct choice.

Option F "n more than 8" would be written as "n + 8".

Option G "the quotient of 8 and n" would be written as "8/n".

Option J "8 increased by n" would be written as "8 + n".

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Answer:

I think it is D.

Step-by-step explanation:

Answer:

50

4 were incorrect

44/50 would make it 88%

Step-by-step explanation:

Answer:

1. There are 50 questions on the test.

2. He answered 4 questions incorrectly.

3. To make an 88 he would have gotten 44/50 questions right.

Answer:

21=1/2n+5

There were 32 volunteers on the first day

Step-by-step explanation:

number of volunteers on the first day=n

21=number of volunteers on the second day

21=1/2n+5

Answer:

[tex]x=\frac{y}{3b-7}[/tex]

Step-by-step explanation:

Rewrite the equation as [tex]3bx-7x=y[/tex].

Factor  x  out of  3 b x

[tex]x(3b)-7x=y[/tex]

Factor [tex]x[/tex] out of [tex]x(3b)+x*-7[/tex]

[tex]x(3b-7)=y[/tex]

Divide each term by [tex]3b-7[/tex]   and simplify.

Divide each term in [tex]x(3b-7)=y[/tex] by [tex]3b-7[/tex].

[tex]\frac{x(3b-7) }{3b-7} =\frac{y}{3b-7}[/tex]

Cancel the common factor of [tex]3b-7[/tex]

Given parameters:

Distance in a year = 18000miles

Car mileage = 24miles/gallon

Average cost per gallon = $2.72 per gallon

Problem;

Find the error in her calculation;

Step 1

18,000 miles/year    

18, 000 miles = 1,500 miles/month     -- Since there are 12months in a year

12 months

Step 2

1500 miles/month

      Car mileage  = 24miles/gallon

Gallons per month; [tex]\frac{1500}{24}[/tex]   = 62.5gallons/month

125 gallons/month   this is an error and should be 62.5gallons/month

12 miles/gallon  should be 24miles per gallon

Step 3

(125 gallons/month) x ($2.72/gallons) = $340 cost/month

Correct

Step 2 is wrong because it uses wrong values.

Answer:

Option 1

Step-by-step explanation:

Wilma made a mistake is step 2. Instead of dividing by 12, she should have divided by 24. She should budget $170 per month for fuel expenses.

Answer:

Step-by-step explanation:

1.6

1.6 miles per hour is speed of Rafael.

speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.

Given, Rafael is going for a walk. He takes 4 hours to walk 6.4 miles.

From the general formula of speed:

Speed = distance/time

In our case,

Distance= 6.4 miles

Time = 4 hours

Thus,

Speed = 6.4/4

Speed in miles per hour = 1.6

therefore, the speed of Rafael is 1.6 miles per hour.

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Answer:

y = -x+8

Step-by-step explanation:

Answer:

[tex]y<-3\quad \mathrm{or}\quad \:y>4[/tex]

Step-by-step explanation:

so first lets solve -3y>9

[tex]-3y>9\\[/tex]

div both side by -3( rember to switch sign)

[tex]y<-3[/tex]

thats the first answer

2nd, lets solve 2y-6>2

[tex]2y-6>2[/tex]

add 6 to both side

[tex]2y>8[/tex]

div both side by 2(no switch sign)

[tex]y>4[/tex]

Answer:

  c. 6/15 = 10/25

Step-by-step explanation:

Using the hint, we can form the cross products of the offered choices:

a.  6(12) vs 9(9) ⇒ 72 vs 81 . . . not a proportion

b.  8(21) vs 16(10) ⇒ 168 vs 160 . . . not a proportion

c.  6(25) vs 15(10) ⇒ 150 vs 150 . . . IS A PROPORTION

d.  4(27) vs 14(6) ⇒ 108 vs 84 . . . not a proportion

__

The cross products are the same for choice C, so that is a pair of ratios that form a proportion:

  6/15 = 10/25

a lotStep-by-step explanation:

Answer:

2,240

Step-by-step explanation:

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Investment of Sara during her 1st year of college = US$ 2,000

Duration of the investment = 4 years

Annual interest rate = 3%

2. Let's find the future value of this investment after 4 years, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Investment of Sara during her 1st year of college = US$ 2,000

number of periods (n) = 4

rate (r) = 3% = 0.03

Replacing with the real values, we have:

FV = 2,000 * (1 + 0.03) ⁴

FV = 2,000 * (1.03) ⁴

FV = 2,000 * 1.12550881

FV = 2,251.02

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy. Later you round the answer and that gives you 2,240

plz mark me brainliest

Answer:

a = -4 and b = -3

Step-by-step explanation:

Step 1: Solve 3a + 5b = -27 for a

3a + 5b = -27

3a + 5b + -5b = -27 + -5b

(Add -5b go both sides)

3a = -5b- 27

3a = -5b - 27

3 3

(Divide both sides by 3)

a = -5 b - 9

3

Step 2: Substitute -5 b - 9 for a in 4a + 10b = -46

3

4a + 10b = -46

4(-5 b - 9) + 10b = -46

3

10 b - 36 = -46

3

(Simplify both sodes of the equation)

10 b - 36 + 36 = -46 + 36

3

(Add 36 to both sides)

10 b = -10

3

10/3 b = -10

10/3 10/3

(Divide both sides by 10/3)

b = -3

Step 3: Substitute -3 for b in a = -5/3 b - 9

a = -5/3 (-3) - 9

a = -4

(Simplify both sides of the equation)

Answer:

36 degrees =x

Step-by-step explanation:

If the polygon has 4 angles then it is a quadrilateral and must have 360 degrees. you can see that all angles in that polygon added up are 10x. If 10x=360 then x= 36 degrees, 2x=72 degrees, 3x=108 degrees, 4x=144 degrees

Answer:

36 degrees =x

Step-by-step explanation:

Math

Answer:

3.5 per

Step-by-step explanation:

14/4=3.5

Answer:

$3

Step-by-step explanation:

25 times 3=75

Answer: 25% decrease

Step-by-step explanation: