What is an algebraic expression for "2 less than the product of 3 and a number x"? *

Answer:

22

Step-by-step explanation:

Answer:

Step-by-step explanation:

11). 6x + 7 = 8x - 17 [Since vertical angles are equal in measure]

    8x - 6x = 17 + 7

    2x = 24

    x = 12

12). (11x - 15) + (5x - 13) = 180°

    16x - 28 = 180°

    16x = 180 + 28

    16x = 208

    x = 13

13). Since DB⊥AC,

    m∠CBD = 90°

    m∠CBE + m∠DBE = 90°

    (5x - 42) + (2x - 1) = 90°

     7x - 43 = 90

    7x = 133

     x = 19

14). Since QS bisects angle PQR,

    m∠PQS = m∠RQS

    10x + 1 = [tex]\frac{82}{2}[/tex]

    10x + 1 = 41

    10x = 40

    x = 4

15). 10x - 61 = 18y + 5 [Vertical angles]

     10x - 18y = 61 + 5

     10x - 18y = 66

     5x - 9y = 33 ------(1)

     (18y + 5) + (x + 10) = 180 [linear pair of angles are supplementary]

     18y + x + 15 = 180

     x + 18y = 165 ------(2)

     By adding equation (1)×2 and equation (2)

     (10x - 18y) + (x + 18y) = 66 + 165

     11x = 231

      x = 21

16). (5x - 17) + (3x - 11) = 180 [[linear pair of angles are supplementary]

      8x - 28 = 180

      8x = 180 + 28

      8x = 208

      x = 26

      (3x - 11)° = 78 - 11

                   = 67°

      67° + 90° + (2y + 5)°= 180° [Sum of angles on a line]

      162 + 2y = 180

      2y = 180 - 162

      2y = 18

      y = 9

17). NP bisects ∠MNQ.

    Therefore, m∠MNQ = 2(m∠PNQ)

    8x + 12 = 2×78

    8x + 12 = 156

    8x = 156 - 12

    8x = 144

    x = 18

    m∠MNQ = (8x + 12)° = 156°

    m∠RNM = m∠ONQ [Vertical angles]

    (3y - 9)° = 180° - m∠MNQ

    3y - 9 = 180 - 156

    3y - 9 = 24

    3y = 33

    y = 11

Using the knowledge of the angle relationships to create an equation, the value of x and y in the image given are:

11. x = 12

12. x = 13

13. x = 19

14. x = 4

15. x = 21; y = 8

16. x = 26; y = 9

17. x = 18; y = 11

Applying the knowledge of angle relationships, we can solve each given problem by first, creating a an equation from the relationship between angles, then solve for the variables.

11. [tex]6x + 7 $ and $ 8x - 17[/tex] are vertical angles.

[tex]6x + 7 = 8x - 17[/tex]

[tex]6x - 8x = -7 - 17\\\\-2x = -24\\\\x = 12[/tex]

12. [tex]11x - 15 $ and $ 5x - 13[/tex] are linear pair angles.

[tex](11x - 15) + (5x - 13) = 180[/tex]

[tex]11x - 15 + 5x - 13 = 180\\\\16x - 28 = 180\\\\16x - 28 + 28 = 180 + 28\\\\16x = 208\\\\x = 13[/tex]

13. <DBE and <CBE are complementary angles.

[tex]m \angle DBE + m \angle CBE = 90[/tex]

[tex](2x - 1) + (5x - 42) = 90[/tex]

[tex]2x - 1 + 5x - 42 = 90\\\\7x - 43 = 90\\\\7x = 90 + 43\\\\7x = 133\\\\x = 19[/tex]

14. Since QS bisects <PQR, therefore,

m<PQS = 1/2(PQR)

[tex]10x + 1 = \frac{1}{2} (82)[/tex]

[tex]10x + 1 = 41\\\\10x = 41 - 1\\\\10x = 40\\\\x = 4[/tex]

15. [tex](x + 10) $ and $ (10x - 16)[/tex] are linear pair angles.

[tex](x + 10) + (10x - 16) = 180\\[/tex]

[tex]x + 10 + 10x - 61 = 180\\\\11x - 51 = 180\\\\11x = 180 + 51\\\\11x = 231\\\\x = 21[/tex]

Since [tex](10x - 61) $ and $ (10y + 5)[/tex] are vertical angles, they are congruent. Therefore,

[tex](10x - 61) = (10y + 5)[/tex]

[tex]10(21) - 61 = 18y + 5\\\\149 = 18y + 5\\\\149 - 5 = 10y\\\\144 = 18y\\\\8 = y\\\\\mathbf{y = 8}[/tex]

16. Since [tex](5x - 17) $ and $ (3x - 11)[/tex] are linear pair, their sum equals 180 degrees. Therefore,

[tex](5x - 17) + (3x - 11) = 180[/tex]

[tex]5x - 17 + 3x - 11 = 180\\\\8x - 28 = 180\\\\8x = 180 + 28\\\\8x = 208\\\\x = 26[/tex]

[tex](2y + 5) + 90 + (3x - 11) = 180[/tex] (angles on a straight line = 180 degrees)

[tex]2y + 5 + 90 + 3(26) - 11 = 180\\\\2y + 5 + 90 + 78 - 11 = 180\\\\2y + 162 = 180\\\\2y = 180 - 162\\\\2y =18\\\\y = 9[/tex]

17. Since NP bisects <MNQ, therefore,

[tex]m \angle PNQ = \frac{1}{2}(m \angle MNQ)[/tex]

[tex]78 = \frac{1}{2}(8x + 12)[/tex]

[tex]78 \times 2 = 8x + 12\\\\156 = 8x + 12\\\\156 - 12 = 8x \\\\144 = 8x\\\\18 = x\\\\x = 18[/tex]

[tex]m \angle RNM + m \angle MNQ = 180^{\circ}[/tex] (linear pair)

[tex](3y - 9) + (8x + 12) = 180[/tex]

[tex]3y - 9 + 8(18) + 12 = 180\\\\3y - 9 + 144 + 12 = 180\\\\3y + 147 = 180\\\\3y = 180 - 147\\\\3y = 33\\\\y = 11[/tex]

Therefore, using the knowledge of the angle relationships to create an equation, the value of x and y in the image given are:

11. x = 12

12. x = 13

13. x = 19

14. x = 4

15. x = 21; y = 8

16. x = 26; y = 9

17. x = 18; y = 11

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Answer:

-17

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

this is the correct answer

Step-by-step explanation

ten plus x multiplied by seven is equal to fourteen divided by X

round it to a whole number of 100 m witch i think would be 15700 m

also i dint realize it said round it to a whole number and to 100 m so it would also be a whole number of 16000 i think if not this than 20000

Answer:

Rose was wrong because 4 + 11 is not 7; the answer would be 15*F

Step-by-step explanation:

4+11 = 15

hope this helps

Rose is incorrect as the temperature in Mayville that afternoon

(4 + 11)°F = is 15°F not (-4 + 11)°F = 7°F.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Overnight, the temperature in Mayville was 4°F.

But by the following afternoon, the temperature had risen 11°F.

∴  The temperature in Mayville that afternoon is the sum of the total temperatures which is,

= (4 + 11)°F.

= 15°F

learn more about numerical expressions here :

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Answer:

3.75 gallons

Step-by-step explanation:

speed = distance/time

s = d/t

d = st

d = (60 mi/hr) * (75 min) * (1 hour)/(60 min) = 75 miles

In 75 minutes of driving at 60 mph, he drives 75 miles.

fuel economy = distance/volume

volume * fuel economy = distance

volume = distance/(fuel economy)

volume = (75 miles)/(20 miles/gal)

volume = 3.75 gallons

Answer: 3.75 gallons

Answer:

15 more jobs

Step-by-step explanation:

So you do 15 x 15 and that equals 225. Then you take 225 + 75 and that equals 300 so in total you just need 15 more jobs to get 300 dollars.

Answer:

  4) Stored chemical energy is converted to mechanical energy.

Step-by-step explanation:

The battery represents energy stored in the form of chemical compounds. The motion represents mechanical energy. The transfer occurs between these forms of energy.

  4) Stored chemical energy is converted to mechanical energy.

Answer:

Answer:

12 + 20d

Step-by-step explanation:

OG fare = 12

Ticket price =d

20 Tickets =20d

Answer:

$12 + 20 d

Step-by-step explanation:

Right of the bat, we know she‘ll pay $12 just to get in to the fair.

If Tyra wanted to buy 20 tickets, it’ll cost her d dollars each. Which is 20 d.

Add 12 and 20(d) together and it’ll determine how much Tyra will spend in total at the fair.

Answer:

445

Step-by-step explanation:

Multiply first the -56 and -8 (PEMDAS):

-56*-8+(-3)

448 - 3(negative × negative is positive)

=445

-56-8+(-3)

-56 -8 -3

Answer:

48,952.5 pesos

Step-by-step explanation:

Aquí en esta pregunta queremos calcular el monto a pagar por una mercancía, dado que se paga una cierta cantidad por kg de mercancía.

En la pregunta se nos dice que por kg de papa se paga 18.30 pesos Ahora, en el camión, hay 2.675 kg de patatas El monto a pagar por esto será;

la cantidad por kilogramo * número de kilogramos de patatas

= 18.30 * 2675 = 48,952.5 pesos

Answer:

Step-by-step explanation:

The graph starts at x = - 3 and ends x = 2. For all x between -3 and 2, there points on the graph. Hence the domain, in interval notation, is written as

[-3 , 2]

We have closed circles at x = - 3 and x = 2 because -3 and 2 are included in the domain which is indicated by the closed brackets at x = - 3 and x = 2.

The range is the set of possible output values, which are shown on the y-axis.

This is why our graph goes from (-3,8) to (2,3)

Answer:

1) x=14

2) n=21/8=2.625

Step-by-step explanation:

1)

So we have the equation:

[tex]\frac{x}{16}-\frac{1}{2}=\frac{3}{8}[/tex]

First, let's remove all the fractions. Multiply both sides by the LCM of 16, 2, and 8, which is 16. So:

[tex]16(\frac{x}{16}-\frac{1}{2})=16(\frac{3}{8})[/tex]

Distribute:

[tex]16(\frac{x}{16})-16(\frac{1}{2})=16(\frac{3}{8})[/tex]

Simplify:

[tex]x-8=6[/tex]

Add 8 to both sides:

[tex]x=14[/tex]

So, the value of x is 14.

2)

We have:

[tex]\frac{3n}{7}-1=\frac{1}{8}[/tex]

Again, let's remove the fractions by multiplying both sides by the LCM of 7 and 8, which is 56. So:

[tex]56(\frac{3n}{7})-56(1)=56(\frac{1}{8})[/tex]

Simplify:

[tex]24n-56=7[/tex]

Add 56 to both sides:

[tex]24n=63[/tex]

Divide both sides by 24:

[tex]n=63/24[/tex]

Reduce:

[tex]n=21/8=2.625[/tex]

And we're done!

Answer:

  1st option

Step-by-step explanation:

The translated image will be moved to the right of where it starts, with no change in orientation. The first option matches the required motion.

Answer:

The answer is the picture with thetriangle on the right side with the Hypotoneese facing the top left.

Given that:

The expressions are [tex]3z−2, 2x^3+x-12, 9b, 9x-2[/tex].

Solution:

Monomial : It contains single terms.

Binomial : It contains two terms.

Trinomial :  It contains three terms.

Polynomial : It contains atleast one algebraic term.

Degree of polynomial : It is highest power of the variable.

[tex]3z-2[/tex] ,  here z is the variable. So, it is a polynomial with degree 1 and it is a binomial.

[tex]2x^3+x-12[/tex] ,  here x is the variable with highest power 3. So, it is a polynomial with degree 3 and it is a trinomial.

[tex]9b[/tex] ,  here b is a constant. So, it is not a polynomial and it is a monomial.

[tex]9x-2[/tex] ,   here x is the variable. So, it is a polynomial with degree 1 and it is a binomial.

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

Explanation:

Use a calculator to find the decimal form of each of the following below (values are approximate; rounded to 2 decimal places)

We see that the order of the decimal values is: 5.83, 6, 6.28, 6.48

So the order of the terms, from smallest to largest, is [tex]\sqrt{34}, 6, 2\pi, \sqrt{42}[/tex]

Answer:

D.

15/20, 0.75

Hope this helps! :)

Answer: no they are not equal because 1 to 5 is + 4 and 6 to 9 is + 3

Please mark me as Brainliest

Answer:

  a) m∠ABD = m∠ABC

Step-by-step explanation:

The meaning of angle bisector is that each of the created angles is congruent to the other:

  m∠ABD = m∠ABC

Answer:

A: m∠ABD = m∠ABC

hope it helps you .

this is the right answer.

a)

[tex]\dfrac{42}{65}\cdot\dfrac{25}{36}\cdot\dfrac{26}{49}=\dfrac{2\cdot3\cdot7}{5\cdot13}\cdot\dfrac{5\cdot5}{2\cdot2\cdot3\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\dfrac{7}{13}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\\\\\\=\dfrac{1}{1}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2}{7}=\dfrac{5}{3}\cdot\dfrac{1}{7}=\dfrac{5}{21}[/tex]

b)

[tex]\dfrac{21}{32}\cdot\dfrac{39}{120}\cdot\dfrac{40}{65}=\dfrac{21}{32}\cdot\dfrac{3\cdot13}{2\cdot2\cdot2\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot2\cdot5}{5\cdot13}=\\\\\\=\dfrac{3\cdot7}{32}\cdot\dfrac{13}{2\cdot2\cdot2\cdot5}\cdot\dfrac{2\cdot2\cdot2}{13}=\dfrac{21}{32}\cdot\dfrac{1}{5}\cdot\dfrac{1}{1}=\dfrac{21}{160}[/tex]

c)

[tex]\dfrac{15}{90}\cdot\dfrac{36}{75}\cdot\dfrac{27}{42}=\dfrac{3\cdot5}{2\cdot3\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot3\cdot3}{3\cdot5\cdot5}\cdot\dfrac{3\cdot3\cdot3}{2\cdot3\cdot7}=\\\\\\=\dfrac{1}{2\cdot3}\cdot\dfrac{2\cdot2\cdot3}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{1}\cdot\dfrac{2}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{25}\cdot\dfrac{9}{7}=\dfrac{9}{175}[/tex]

At the beginning of the story, Jimmy Valentine is eager to get back to his old ways. He packs his suitcase of “burglar’s tools” and leaves town. However, when he reaches Elmore, he falls in love with Annabel Adams. He “looked into her eyes, forgot what he was, and became another man.” His love for Annabel drives him to change his ways and live a decent life. He is able to change for the better for her.

Answer:

let the earlier temperature be x

then change in temperature is x - 15

Answer:

I have stated the answer about hope it helps

Answer:

Its 17 feet and 11 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

x - 4y = 4

-4y = -x + 4

y = 1/4x - 1

y + 1 = 1/4(x + 8)

y + 1 = 1/4x + 2

y = 1/4x + 1