What is the solution to this system of
equations?
6x - 2y = 8
1-3x + y = -4
A. No Solution
B. (0, -4)
C. Infinite Solutions

Answer:

6,12,18,24,30,36,42,48,54,60... All of the numbers in this list can be divided by 6 with no remainder.

A natural number that has at least one factor other than 1 and itself.

she spends 68 minutes at the gym on Thursday in order to average 65 minutes a day for four days.

The mean (also known as the arithmetic mean, which varies from the geometric mean) of a dataset is calculated as the sum of all values divided by the total number of values. This measure of central tendency is usually referred to as the "average".

Granted, Laura recorded how long she spent at the gym each day this week.

Let "x" represent the time she spent working out on Thursday.

Since,

Average = (sum of values)/ count of values

Thus, in our case

Average = (60 +70 +62 +x)/4

average is 65 minutes a day for four days.

65 = 192 +x)/4

192 +x = 260

x = 260-192

x = 68

Therefore, she spends 68 minutes at the gym on Thursday in order to average 65 minutes a day for four days.

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Please attach some form of question first, thank you!

Answer:

the exact value of tan(-315) is 1

Answer:

The tangent of -315 is opp/adj = 1/1 = 1

Step-by-step explanation:

The angle -315 is in the 1st quadrant, in which we see a 45-45-90 triangle.  Thus, this triangle has 'opposite side' = 1, 'adjacent side' = 1, and hypotenuse √2.  The tangent of -315 is thus opp/adj = 1/1 = 1

Answer:

  7/3

Step-by-step explanation:

To write the ratio with no units. we need to have both parts of the ratio in the same units. That way the units cancel.

__

  6 weeks : 18 days = (6×7) days : (6×3) days = 7 : 3

The ratio as a fraction is ...

  (6 weeks)/(18 days) = 7/3

Answer:

The product of 6 and a number

Step-by-step explanation:

There isn't any "real" mathematics needed to find the answer, just common background knowledge:

6x = 6 times x,

and product is referencing multiplication

(Since quotient is for division, difference for subtraction, and sum for addition)

considering we need to represent an expression which uses multiplication in words, the correct answer is:

O the product of 6 and a number

Answer:

90 for choice 1, 112.5 is for choice 2, 180 for choice 3, and 180 for choice 4.

Step-by-step explanation:

67.50 and 22.5 is a complementary angle because it adds up to 90 degrees.

22.5 and 90 added is 112.5 which is an obtuse angle

60 and 120 added is a supplementary angle because 60 + 120 is 180

135 and 45 is also a supplementary angle because 135+45 = 180

Answer: Tenths place.

Step-by-step explanation:

0.20

The 2 is part of the tenths place.

Answer:

$0.20

Step-by-step explanation:

1 penny = $0.01

1 nickel = $0.05

1 dime = $0.10

1 quarter = $0.25

Two dimes = $0.20

Or 1/4 of a dollar

Or 0.2 because you don't need to add a 0 at the end of .2 or the $ sign.

Answer:

Suppose that we want to find the probability that when six consumers are randomly selected, actually three of them are comfortable with delivery by drones.

Step-by-step explanation:   hopes this helps you!

Answer:

(x+5)(2x+7)

Step-by-step explanation:

x(2x+7) + 5(2x+7)

(x+5)(2x+7)

I hope this helps!!

Answer:

Step-by-step explanation:

c I think I did the math that’s what it leads to so yeah

Answer:

correct answer here

Step-by-step explanation:

Answer:

I don't understand

Step-by-step explanation:

You answer it.

Answer: 10.3, 9

Step-by-step explanation:

Answer:

tkm

Step-by-step explanation:

First T the middle k and at last m

it's interpreted as 28 - 21 = 7

Answer: 15 miles per gallon

Step-by-step explanation:

135 divided by 9

15 miles per gallon

rate:

[tex]\sf \dfrac{distance}{amount \ of \ oil}[/tex]

[tex]\rightarrow \dfrac{135}{9}[/tex]

[tex]\sf \rightarrow15 \ miles \ per \ gallon[/tex]

Answer:

20.5 degrees

Step-by-step explanation:

So when the arc is being made from two lines coming out from the center, the measure of the arc is the same as the angle of the lines.

So the measurement of 41 degrees for the arc is also the angle of line OB and line OC.

Now that center line is the diameter, which means it is 180 degrees

So you can find the angle of line OA and OB:

180 - 41 = 139

Then, to find x you need to recognize that OB and OA is actually the radius of the circle, which means they are the same length.

This makes it an isosceles triangle. So, the angle of OB and BA is the same as OB and BA. The measurement of all the angles in a truianbgle is 180 degrees, so to find the measurement of x, you need to subtract 139 from 180:

180-139 = 41

And then divide by two to find the remaining two angles:

41/2 = 20.5

and that is x :)

Answer:

so first you want to mulitply the 5,5,5.8, and 8 together to get 1160 then take away 464 from 1160 to get 696. then you add all of the numbers up to get 719.8 ten subtract .75 from that and you get 719.05. then take the cubic feet and get 200 then taky away 200 from 719.05 and get 519.05 then do that again

Step-by-step explanation:

219.05

Answer:

a: there are 30 calories additional grams of sugar for every additional calorie in a menu item

Step-by-step explanation:

Answer:

(-3/8)/(-2 3/4) = 3/22  

Step-by-step explanation:

Solve the following;

[tex]\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}[/tex]

[tex]=\frac{\left(-\frac{3}{8}\right)}{\left(-\frac{11}{4}\right)}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}[/tex]

[tex]=\frac{\frac{3}{8}}{\frac{11}{4}}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]

[tex]=\frac{3\cdot \:4}{8\cdot \:11}[/tex]

[tex]\frac{3}{22}[/tex]

Thus, [tex]\frac{\left(-\frac{3}{8}\right)}{\left(-2\frac{3}{4}\right)}[/tex] = [tex]\frac{3}{22}[/tex]

~Learn with lenvy~

Answer: 30 degrees

Step-by-step explanation:

Answer:

The solution is 9.01.

Step-by-step explanation:

To prove that 9.1 isn't the solution we have to plug 9.1 into the equation. By replacing n with 9.1 we get 2.7 which isn't equal to 2.61.

To find the solution we must add 6.4 to both sides of the equation.

Answer:

Parallelogram

Step-by-step explanation:

Instead of one pair of parallel sides like in a trapezoid, a parallelogram has two pairs of opposite sides (for example a rectangle)

[tex]❖\qquad\qquad\huge\underline{{\sf Answer}} \qquad \normalsize❖[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \: \cos(x) \times \tan(x) \times \csc(x) [/tex]

[tex]\qquad \sf  \dashrightarrow \: \cancel{ \cos(x) }\times \dfrac{ \cancel{ \sin(x)} }{ \cancel{ \cos(x) }} \times \dfrac{1}{ \cancel{\sin(x)} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:1[/tex]

The equivalent value is 1

The surface area of the image after the dilation is 219 3/8 m²

Area is the amount of space occupied by a two dimensional shape or object.

The surface area of the prism = 2(0.5 * 5 * 12) + (5 * 11) + (11 * 12) + (13 * 11) = 390 m²

The surface area of the image after the dilation = scale factor² *  390 m² = (3/4)² * 390 m² = 219 3/8 m²

The surface area of the image after the dilation is 219 3/8 m²

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Answer:

Area is 30cm^2 if thats what your asking

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

You need to use the Pythagorean theory to solve this question.

[tex] {13}^{2} = {x}^{2} + {(x + 7)}^{2} [/tex]

[tex]169 = {x}^{2} + ( {x}^{2} + 14x + 49)[/tex]

[tex]169 = 2 {x}^{2} + 14x + 49[/tex]

[tex]0 = 2 {x}^{2} + 14x + 49 - 169[/tex]

[tex]0 = 2 {x}^{2} + 14x - 120[/tex]

Now simply the equation by dividing everything by 2.

[tex]0 = {x}^{2} + 7x - 60[/tex]

[tex]0 = (x - 5)(x + 12)[/tex]

Now, you can find the possible solutions by setting each bracket to 0.

[tex]0 = x - 5[/tex]

[tex]5 = x[/tex]

OR

[tex]0 = x + 12[/tex]

[tex] - 12 = x[/tex]

However, a measurement on a triangle cannot be negative. Therefore, we can ignore -12 and say that the answer is x = 5.