B Which expression is equivalent to -5 × 4?

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Recall the definition of absolute value:

• |x| = x if x ≥ 0

• |x| = -x if x < 0

So we have 2 cases to consider:

• If 4 - 3x ≥ 0, then |4 - 3x| = 4 - 3x, and we have

4 - 3x = 5x + 4

8x = 0

x = 0

• If 4 - 3x < 0, then |4 - 3x| = -(4 - 3x) = 3x - 4, which gives

3x - 4 = 5x + 4

2x = -8

x = -4

However, keep in mind that |x| is always non-negative. If x = -4, then the right side of the equation becomes

5(-4) + 4 = -20 + 4 = -16 < 0

so the solution in this case is extraneous.

Perimeter=sum of sides

[tex]\\ \qquad\quad\sf\longmapsto Perimeter=6y+3y+5+y-4[/tex]

[tex]\\ \qquad\quad\sf\longmapsto Perimeter=6y+3y+y+5-4[/tex]

[tex]\\ \qquad\quad\sf\longmapsto Perimeter=9y+y+1[/tex]

[tex]\\ \qquad\quad\sf\longmapsto Perimeter=10y+1[/tex]

The simplified expression of the perimeter of the given triangle is  10y + 1

Use the concept of a triangle defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

In the given figure:

Hypotenuse = 6y

Perpendicular = 3y + 5

Base = y - 4

The perimeter of a triangle = Hypotenuse + Perpendicular + Base

Therefore,

Perimeter of the triangle = 6y + 3y + 5 + y  -  4

Perimeter of the triangle = 10y + 1

Hence,

The perimeter of the triangle is 10y + 1.

To learn more about the triangle visit;

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Answer:

m=11/3,y intercept is (0,-18)

Step-by-step explanation:

-3y=54-11x

y=-18+11/3x

the slope is 11/3

the y intercept is (0,-18)

Answer:

2.069, 2.69, 2.6912, 2.7

Step-by-step explanation:

Answer:

Independent Variable: Number of hours

Dependent Variable: Cost

Equation: C = 2x + 6

Step-by-step explanation:

    The independent variable (x) is the variable that is manipulated. In this instance, that would be the number of hours a person rents out the bike.

    The dependent variable (C) is the variable that is manipulated depending on the value of the independent variable. In this instance, that would be the total cost for renting the bike.

    The total equation would be C = 2x + 6. The coefficient, 2, represents the charge of $2 per hour and the 6 represents the starting charge of $6.

Answer:

x = 8

Step-by-step explanation:

Since all the angles are congruent, this is an equilateral triangle. With an equilateral triangle, all sides are equal.

Answer:

1/2 is the answer because its half

Answer:

1 / 2

Step-by-step explanation:

10 is to 5 as  10 (5/10) = 50/10 = 5

8 is to 4 as 8 ( 4/8 ) = 32/8 = 4

6 is to 3 as 6 ( 3/6 ) = 18/6 = 3

Each of the scale factors are 5/10, 4/8, 3/6 which equals 1/2.

Answer:

Step-by-step explanation:

Answer:

The greatest common factor is 6.

Step-by-step explanation:

Greatest common factor is 6. If you use the distributive property then the answer would be 6(4) + 6(6) or 6(4+6). Then you distribute the 6 to each digit and should get 24+36.

Answer:

97%

Step-by-step explanation:

for such a question we can use the percentage numbers like real unit numbers, as we need to analyze just the percentage numbers and align them with another percentage number with the result of another percentage number.

so, we just use the percentage numbers and deal with mean values and such like with real unit numbers.

therefore we need to find x

(79 + 92 + 71 + 86 + x) / 5 = 85

as the sum of all numbers divided by the number of measurements is the mean value.

and so,

79 + 92 + 71 + 86 + x = 425

328 + x = 425

x = 97

so, the next site must be 97%, so that the average for the 5 surveys will be exactly 85%

Answer:

Sorry

Step-by-step explanation:

For my Poor H. And Coordinates

Answer:

[tex] \sin(45 ) = y \div 11 \sqrt{6} [/tex]

[tex] \frac{1}{ \sqrt{2} } = \frac{y}{11 \sqrt{6} } \\ \\ y = \frac{11 \sqrt{6} }{ \sqrt{2} } \\ y = 11 \sqrt{3} [/tex]

[tex] \tan(60) = \frac{x }{11 \sqrt{3} } \\ \\ \sqrt{3} = \frac{x}{11 \sqrt{3} } \\ x = \sqrt{3} \times 11 \sqrt{3} \\ x = 33[/tex]

Answer:

The perimeter of the rectangle is 28m

Step-by-step explanation:

Perimeter of a square = 4 x side length

20 = 4 x side length

side length = 20/4 = 5m

width of rectangle = 5m

length of rectangle = 9m

Perimeter of rectangle = 2(l + w)

= 2(9 + 5)

= 2(14)

= 28m

Answer:

Formula

V=a^2h/3

a is the base area

h is the height

V= 16^2×15/3

V=1280cm^3

Answer:

$127.875

Step-by-step explanation:

cost of 3 pizzas= $15*3

cost of 3 pizzas=$45

cost of 15 drinks=$1.50*15

cost of 15 drinks=$22.5

cost of 6 nachos=$5.80*6

cost of 6 nachos=$34.8

Total cost = pizza cost+ drinks+nachos

total cost=$45+$22.5+$34.8

total cost=$102.3

Now ,

Tip cost=$102.3*20%

=$20.46

tex cost=$102.3*5%

=$5.115

Bill which all friends pay=total cost+ tip cost+tex cost

= $102.3+$20.46+$5.115

=$127.875

Answer:

2

Step-by-step explanation:

the volume of the rectangular prism =

4/5 × 3/2 x 5/3 = (4×3×5)/(5×2×3)

= 60/30 = 2

[tex]\\ \rm\longmapsto Volume=LBH[/tex]

[tex]\\ \rm\longmapsto Volume=\dfrac{4}{5}\times \dfrac{3}{2}\times \dfrac{5}{3}[/tex]

[tex]\\ \rm\longmapsto \dfrac{60}{30}[/tex]

[tex]\\ \rm\longmapsto 2units^3[/tex]

Step-by-step explanation:

The answer is a option.

hope it helps

answer

27/20

Step-by-step explanation:

3/5+3/4

12+15= 27

lcm= 20

Answer:

3 feet

Step-by-step explanation:

The equation modeled by this throw is

-16t^2+8t+2

Using the vertex x coordinate formula of -b/2a,

we find that the x coordinate of the vertex is 0.25. Subbing 0.25 seconds for t into -16t^2+8t+2, we find out that the y value of the vertex is 3. This means the highest point reached by the ball is 3 feet and this takes 0.25 seconds

Answer:

First break it down

42= 40 & 2

27= 20 & 7

Then times 40 & 20 to get 800

20 x 2 to get 40

40 x 7 to get 280

7 x 2 to get 14

Now add them all together.

800 40 1080

+280 +14 + 54

---------- ------- ---------

1080 + 54 = 1134

Answer:

8/11

3/11

Step-by-step explanation:

hope this helps!

9514 1404 393

Answer:

  b. 90 -n

Step-by-step explanation:

The sum of an angle and its complement is 90 degrees. If c represents the complement, this means ...

  n +c = 90

  c = 90 -n . . . . . . . . . subtract n from both sides of the equation

The expression 90 -n can be used to find the complementary angle.

Answer:

15

Step-by-step explanation:

rises 8 floors = 15 + 8 = 23

drops 10 floors = 23 - 10 = 13

rises 2 floors = 13 + 2 = 15

Answer:

90 males

Step-by-step explanation:

3 males plus 9 females is 12 overall.

360/12 is 30 for each "1".

30 multiplied by 3 males is 90 males.

Hopefully that made sense. Sorry I'm bad at explaining.

Answer: 39/14

Step-by-step explanation:

Given

5 2/7 - 2 2/4

Convert mixed fraction to improper fraction

5 2/7 = (5 × 7 + 2) / 7 = (35 + 2) / 7 = 37/7

2 2/4 = (2 × 4 + 2) / 4 = (8 + 2) / 4 = 10 / 4 = 5/2

Find the common denominator for 37/7 and 5/2

First 10 multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

First 5 multiples of 7 = 7, 14, 21, 28, 35

Since 14 is the first common multiple in the lists, 14 would be the common denominator of 37/7 and 5/2

Convert to the common denominator

(37 × 2) / (7 × 2) = 74 / 14

(5 × 7) / (2 × 7) = 35 / 14

Simplify by subtraction of numerator

=74/14 - 35/14

=(74 - 35) / 14

=[tex]\boxed{\frac{39}{14} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 1 , x = 1/5

Step-by-step explanation:

Answer:

2(5+2(2))=

2(5+4)=

2(9)=

18

Step-by-step explanation:

2/5(4) + 2/5(10y)

8/5 +20y/5

8/5 + 4y

Answer:

8/5 + 4y

Step-by-step explanation:

[tex]\frac{2}{5}(4)=\frac{8}{5}\\\\\frac{2}{5}(10y)=4y\\\\\frac{8}{5}+4y[/tex]

Answer:

Answer = he made 7,000 in July and sold 10 cars in august.

Step-by-step explanation:

answer

−>0(1+5)/2

hope it helps