Expression equivalent to 5(3m + n)

Answer:

Angle 1:  100

Angle 2:  80

Step-by-step explanation:

A linear pair of angles is formed when two lines intersect.  The measure of a straight angle is 180 degrees, so a linear pair of angles is equal to 180 degrees.

Angle 1: x

Angle 2: (x * 3/4) + 5

x + (x * 3/4) + 5 = 180

x + 3/4x + 5 = 180

1 3/4x + 5 - 5 = 180 - 5

1 3/4x = 175

1 3/4x / 1 3/4 = 175 / 1 3/4

x = 100

Check:

(x * 3/4) + 5

(100 * 3/4) + 5

75 + 5

80

100 + 80 = 180

To find the measure of both angles that form a linear pair, set up an equation and solve for x.

To find the measure of both angles, let's assume that one angle is x degrees. According to the given information, the other angle is 3/4 of x degrees plus 5. So the measure of the other angle is (3/4)x + 5 degrees. Since the two angles form a linear pair, their measures sum up to 180 degrees. Therefore, we can write the equation: x + (3/4)x + 5 = 180. Solving this equation, we can find the value of x and then calculate the measures of both angles.

Answer:

The slope of the two points is 2.

Answer:

2 is teh answer

Step-by-step explanation:

Answer:

54/5

Step-by-step explanation:

(3/5)(18)=54/5

Answer:

x=-2, y=3. (-2, 3).

Step-by-step explanation:

y=-x+1

y=3

----------

-x+1=3

-x=3-1

-x=2

x=-2

y=-(-2)+1

y=2+1=3

Good morning,

Answer:

f(g(4)) = 9

Step-by-step explanation:

f(x)= x-7

g(x)=x²

fog(x) = f(g(x)) = x² - 7

then

f(g(4)) = 4² - 7 = 16 - 7 = 9

:)

Step-by-step explanation:

I have no answer to choose...

[tex]\dfrac{12}{27}=\dfrac{12:3}{27:3}=\dfrac{4}{9}\\\\\dfrac{12}{27}=\dfrac{12\cdot2}{27\cdot2}=\dfrac{24}{54}\\\\\dfrac{12}{27}=\dfrac{4}{9}=\dfrac{4\cdot2}{9\cdot2}=\dfrac{8}{18}\\\vdots[/tex]

You can multiply (divide) the numerator and the denominator by the same number different from 0 then the value of the fraction will not change

(you will get a fraction equal to given)

Answer:the correct answer is b

Step-by-step explanation:

Answer:280 square feet per hour.

Step-by-step explanation:

a. The equation of the line is [tex]y = \frac{28}{15}x+\frac{41}{30}[/tex]

b. The equation of the line is [tex]y = \frac{-7}{5}x+\frac{1}{5}[/tex]

The general equation of the line in slope-intercept form is:

y = mx + c

where m is the slope and c is the y-intercept

1. To get the slope:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

where (x₁ , y₁) and (x₂ , y₂) are two points that belong to the line

2. To get the y-intercept:

We pick any point (x , y) that belong to the line and use this point to substitute in the general equation:

y = mx + c

m is calculated from part 1 and (x , y) is a known point on the line. So, we solve for c which is the only unknown.

Now, for the required lines:

Part a:

The two given points are (2, 5.1) and (-1, -0.5)

representing (x₁ , y₁) and (x₂ , y₂)

i. Getting the slope:

[tex]m = \frac{-0.5 - 5.1}{-1 -2}=\frac{28}{15}[/tex]

ii. Getting the y-intercept:

I will use the point (-1, -0.5)

y = mx + c

[tex]-0.5 = \frac{28}{15}(-1)+c\\\\-0.5=\frac{-28}{15}+c\\ \\ c = \frac{41}{30}[/tex]

iii. Based on the above calculations, the equation of the line is:

[tex]y = \frac{28}{15}x+\frac{41}{30}[/tex]

Part b:

The two given points are (-2, 3) and (3, -4)

representing (x₁ , y₁) and (x₂ , y₂)

i. Getting the slope:

[tex]m = \frac{-4-3}{3--2}=\frac{-7}{5}[/tex]

ii. Getting the y-intercept:

I will use the point (3, -4)

y = mx + c

[tex]-4 = \frac{-7}{5}(3) + c\\ \\-4 = \frac{-21}{5}+c\\ \\c=\frac{1}{5}[/tex]

iii. Based on the above calculations, the equation of the line is:

[tex]y = \frac{-7}{5}x+\frac{1}{5}[/tex]

Hope this helps :)

It used 560 kilograms of sugar last month

Step-by-step explanation:

The given is:

We need to find how much it used last month

Assume that the coffee shop used x kg sugar the last month

∵ The coffee shop used x kilogram of sugar last month

∵ It used 30% more sugar this month than last month

- Find the value of 30% of x and add it to x to find how many

   kilograms it used for this month

∵ 30% of x = [tex]\frac{30}{100}[/tex] × x = 0.3 x

∴ It used this month = x + 0.3 x

∴ It used this month = 1.3 x kg

∴ The coffee shop used 1.3 x kilograms of sugar this month

∵ The coffee shop used 728 kilograms of the sugar this month

- Equate 1.3 x by 728 to find x

∴ 1.3 x = 728

- Divide both sides by 1.3

∴ x = 560

It used 560 kilograms of sugar last month

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

Answer:

D

Step-by-step explanation:

95/100 is equal valent to 95℅.

Answer:

Step-by-step explanation:

1/2 (n^3 - 1)

the difference means subtract

Step-by-step explanation:

1/2 (n^3 - 1)

Step-by-step explanation:

If two lines cross each other the angles opposite of each other are the same. So left=right and top=bottom. Knowing this the bottom angle must be 120°. if 3x=120° then x=40°

Answer:

they are all less than 100

Answer:

  ∠3 = 114°

Step-by-step explanation:

Angle 3 is a corresponding angle to angle 7, since they are both in the southwest corner of the intersection of the transversal and the parallel lines. Corresponding angles have the same measure, so ...

 ∠3 = ∠7 = 114°

Answer:

19 ft i think

Step-by-step explanation:

hop ethis helps :) have a nice day

Answer:

$36

Step-by-step explanation:

The original value is $37.50 so that is 100%.

A decrease of 4% from original value means that you are finding 96% of the value, since 100% -4%= 96%

So the new value is 37.50/100 ×96= $36

This is because:

100% ----- $37.50

1% --------- $0.375

96% ------- $36

or taking 96% of original value would be

96/100 × $37.50= $36

Which would give you the same answer

Step-by-step explanation:

x-1=2 therefore x is 3 so 2x squared is 36

Answer:

1.22474487139

Step-by-step explanation:

x = 3

so if 2x^2 - 1 = 2

add 1 to both equations

2x^2 = 3

next, divide 2 from both sides

x^2 = 3/2

x^2 = 1.5

now find the square root of 1.5

the answer is:

1.22474487139

Answer:

the answer is C on edgen.

Step-by-step explanation:

Answer:

144 pages

Step-by-step explanation:

Johan has read [tex]\frac{1}{4}[/tex] of the book that is 36 pages.

To find the total number of pages in the book, note that

[tex]\dfrac{1}{4}\ - \ 36\ \text{pages}\\ \\1\ - \ x\ \text{pages}[/tex]

Then

[tex]\dfrac{\frac{1}{4}}{1}=\dfrac{36}{x}\\ \\\dfrac{1}{4}x=36\\ \\x=4\cdot 36\\ \\x=144\ \text{pages}[/tex]

The right answer is Option D.

Step-by-step explanation:

Given,

Radius of basketball hoop = 9 inches

As the basketball hoop is in circular shape.

Circumference of basketball hoop = 2πr

We will put given radius = 9

Circumference of basketball hoop = 2*π*9

Circumference of basketball hoop = 2 . 9 . π

Therefore,

Circumference of basketball hoop is 2*9*π.

The right answer is Option D.

Keywords: circle, circumference

Learn more about circumference at:

#LearnwithBrainly

Answer:

2*9*π

Step-by-step explanation:

Answer:

Not a polyhedron and it's a sphere

Step-by-step explanation:

It's not a polyhedron because a polyhedron has to have faces more than 6

Answer:

4

Step-by-step explanation:

20 divided by 5 = 4

Answer:

20 days

Step-by-step explanation:

Since 20 is a multiple of 5 then the least common multiple of 5 and 20 is 20

therefore they will meet after 20 days

Dimensions are length 20 meter and width 14 meter

Solution:

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

A rectangle has width that is 6 meters less than the length

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

The area of the rectangle is given by formula:

[tex]Area = length \times width[/tex]

Substituting the values we get,

[tex]Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0[/tex]

Solve the above equation by quadratic formula

[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}[/tex]

[tex]a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14[/tex]

Since, length cannot be negative, ignore a = -14

Thus solution of length is a = 20

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

Answer: The one who ran at the greater Average Speed in 1 hour ran the greater Distance.

Step-by-step explanation:

Speed (S) is the ratio of the distance (D) covered to the time (t) taken.

That is, S = D/t

Suppose Andrew ran a distance D1 in 1 hour (3600 seconds) at a Speed, say S1, we have

S1 = D1/t

We can then say he ran a distance

D1 = t × S1

= 3600S1

Similarly, let's say Karleigh ran a distance

D2 = t × S2

= 3600S2

Let us compare these two, you will notice that the bigger number between S1 and S2 is going to determine the bigger number between D1 and D2.

Let's choose random numbers for S1 and S2 for clarity, say S1 = 5, S2 = 10

D1 = 3600 × 5

= 18000

D2 = 3600 × 10

= 36000

This makes D2 bigger than D1.

I hope this is clear.

Answer:

Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of 1/10 mile per minute compared to Andrew’s 1/12 mile per minute.

Step-by-step explanation:

Answer:

0.9375

Step-by-step explanation:

Answer:

I believe the answer to this question is: 0.94375.

Answer:

Leah can make more than $160 in a month if he works 7 hours for $35 and 10 hours for $80 daily or weekly.

Step-by-step explanation:

Answer:

insted of choosing a it should have been b the < symbol is the aligator thing you learn in like 1st grade

Answer:

Step-by-step explanation:

2x3/5+1/5

Going by BoDMAS

Multiplication comes before addition

2x3/5+1/5 = 6/5 + 1/5 = (6+1)/5

= 7/5 = 1 2/5

Final answer:

The expression 2x3/5+1/5 is solved by first multiplying 2 by 3/5 to get 6/5 or 1.2, and then adding this to 1/5 to get the final answer of 7/5 or 1.4.

Explanation:

To solve the expression 2x3/5+1/5, you first need to perform the multiplication before the addition, according to the order of operations (PEMDAS/BODMAS). So, you need to multiply 2 by 3/5:

2 x 3/5 = 6/5 or 1.2

Now add this result to 1/5:

6/5 + 1/5 = 7/5 or 1.4

Therefore, the answer is 7/5 or 1.4.

Answer:

The price of the shoes should be $13.12