What is the solution for the system of equations? Use the substitution method to solve. 2x+y=20−5y=−6x+12 Enter your answer by filling in the boxes. ( , ​ ​)

Answer:

[tex]x = 14[/tex]

Step-by-step explanation:

[tex]x \sin(30) = 7 \\ x = \frac{7}{ \sin(30) } \\ x = 7 \times 2 \\ x = 14[/tex]

Answer:

0.674

Step-by-step explanation:

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

40% = [tex]\frac{40}{100}[/tex] ( divide numerator and denominator by 20 )

40% = [tex]\frac{2}{5}[/tex]

Answer:

Step-by-step explanation:

40%= 40/100

Percent is out of 100 and written as % so there for it is 40 out of 100 or 40 over 100

40/

Step-by-step explanation:

Since you can't directly solve for [tex]y[/tex] in this question, we will use substitution to solve for

[tex]{\large{\boxed{\mathbb{QUESTION}}}[/tex]  

What would y equal in this equation?

[tex]\begin{bmatrix}3+\frac{4}{1}y=5\\ x+2=0\end{bmatrix}[/tex]

[tex]{\large{\boxed{\mathbb{SOLVE\:FOR\:Y}}}[/tex]

[tex]3+\frac{4}{1}y=5[/tex]

First, we will subtract 3 from both sides of the equation

[tex]\frac{4}{1}y=2[/tex]

Simplify

[tex]{4}y=2[/tex]

Divide both sides by 4

[tex]y=\frac{1}{2}[/tex]

[tex]{\large{\boxed{\mathbb{SOLVE\:FOR\:X}}}[/tex]

[tex]x+2=0[/tex]

subtract 2 to both sides

[tex]x=-2[/tex]

[tex]{\large{\boxed{\mathbb{ANSWER}}[/tex]

_____________________________________

If we didn't use the method with substitution and had our equation being

[tex]3+\frac{4}{1y}=5x+2[/tex]

our answer would've been

[tex]y=\frac{-4}{-5x+1}[/tex], I highly doubt this would be the right answer.

Answer:

105 degrees.

Step-by-step explanation:

Total of angles in trapezoid = 360

so the answer is

360 -(90+90+75)

= 105

Answer:

Step-by-step explanation:

(4.83)² × 6√0.276 / 3.27 =

23.3289 × 6(0.5254) / 3.27 =    (rounded)

22.49 (rounded)

Answer:

Step-by-step explanation:

if the number is higher then 5 it goes over to the tenth

Answer:

1) drinks = $10

2) food = $25

3) total = 7 parts

Step-by-step explanation:

1) 2×5=10

2) 5×5=25

3) 2part+5part=10part

Step-by-step explanation:

the other answer can be a bit confusing.

and the last sentence there is wrong. it should be 2 parts plus 5 parts is 7 parts.

anyway, in questions like this you need to first clarify : how many parts are being used as the whole.

think of it like a cake or a pizza. one friend will eat 2 slices, another will eat 3 slices, and you want only one. then into how many slices do you have to cut the pizza, if there should be no pizza left ?

so, in our case here, the drinks get 2 "slices" of the whole pizza of $35. and food gets 5 "slices". and together they have now the whole pizza.

so the whole pizza was cut into 2+5 = 7 slices.

now we need to spread the whole $35 "pizza" evenly on its 7 slices (or parts).

remember : we use division for that.

35/7 = $5

so, one slice (or part) of the whole $35 is $5.

since drinks get 2 slices (or parts), this is then 5+5 or 5×2 = $10

and food gets 5 slices (or parts). this is then 5+5+5+5+5 or 5×5 = $25

and to verify : $10 + $25 = $35. so, yes, we did not make any mistake. the sum is indeed the total of $35.

Answer:

D

Step-by-step explanation:

this is the correct answr

Answer: relation 3 function relation 4 not a function

Step-by-step explanation:

Answer:

10/5 - 4

Step-by-step explanation:

you have to write down what you understand from the sentence.

First, you read it carefully since it says quotient then you will have to put that first and then subtraction. Normally you would put subtraction in front because the sentence is in that order. But since your dealing with division then the subtraction part would go afer.

10/5 - 4

Answer: uhh i think both are correct since the order of operation states that you must do division over subtraction first, it doesn't matter which position 4 is in, but you must do the division first.

Answer:

Step-by-step explanation:

F(x)=0

Answer: C

It is right lol

Answer:

Step-by-step explanation:

The terms "characteristic" and "mantissa" refer to parts of the logarithm of a number. Their values will be different, depending on the base of logarithms used.

The base 10 (common) logarithm of 8 is ...

  log(8) ≈ 0.90309

The characteristic is the integer portion of the logarithm: 0.

The mantissa is the fractional portion of the logarithm: 0.90309.

_____

Additional comment

To be more technically precise, the "characteristic" is the "floor" of the logarithm: the greatest integer not greater than the log value. For example, the characteristic of log(0.003) = -2.522879 is -3. The mantissa is the (positive) fractional value after the characteristic is subtracted. The mantissa of log(0.003) is 0.477121.

The mantissa can always be found in log tables. It corresponds to the log of a value between 1 and 10. The characteristic is the exponent of 10 the number would have if it were written in scientific notation.

  0.003 = 3×10^-3

  log(0.003) = log(3) + log(10^-3) = -3 +log(3) = characteristic + mantissa

Answer:

-45.4545454545 *45 repeating*

Step-by-step explanation:

Answer:

-45.45454...

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

Rate of change problem:

theres 2 ways but it’s a basically the same thing, if you do these questions enough you’d know right away to find the unit rate of gallon of gasoline To price.

So you can divide.

10 gallons, 23 dollars

23 ÷ 10 = $2.30

$2.30 per gallon of gasoline.

Now we multiply by 15 to find how much will 15 gallons will cost.

2.3*15= $34.5

or you can do it proportionally, this is if you would want to show your work more clearly or just started doing these problems.

So we can make x unknown price.

So we know its 10 gallons for 23 dollars

we want to know how much it would be for 15 gallons

So we can do it like gallon/ price = gallon/ price

ex:

10/23 = 15/x

Make sure it’s lined up correctly

Now just cross multiply and solve for this proportion

10x= 345

now solve

x= 34.5

same answer

Answer:

It should be BOC

Step-by-step explanation:

this is because a bisector is always a cross or any other shape that cuts something into its exact half (unlike intersect which can cut any shape in any form unlike its exact half )

so, as you can see in the figure, angle BOC is bisecting* AOC at its exact half, angle BOC is the answer.

Also, the measure of BOC (angle) should be 53°

Answer:

25 feet.

Step-by-step explanation:

The triangles formed are similar so:

5/h = 7/35  where h = height of the pole.

7h = 5*35

h = 5*35/ 7

h = 5*5

h = 25.

Answer:

a) 3.50x + 1.75y=21 b) 6 c) 12 d) yes e) no

Step-by-step explanation:

A) you take the cost of the beads and add a variable the cost is per pound and you don't know how many pounds there are.

B) 3.50x = 21 you divide 3.50 on both side to get the variable alone and get how much pounds George gets.(blue beads)

C) 1.75y = 21 it is the exact process as the last but with the red beads instead

D) you take the equation you got and sub in the 4's in for the variables and you get 21

E) You do the same thing that was done in D (make sure you look at what they lbel it so you don't numbers in the wrong spot.)

Answer:

3^15/5^16

Step-by-step explanation:

(3^3 x 3^6 x 5^-4) / (3^-6 x 5^12)

= (3^3 x 3^6 x 3^6) / (5^12 x 5^4)

= 3^15 / 5^16

Step-by-step explanation:

6) (2x+1) + (x+15) + x = 180

x = 41

So (2x+1) = 83 is the largest one

7) a) x + x+2 + 38 = 180

x=70

b) m<70

c) m<72

8) 9x = 180

x = 20

X =20

H= 40

E = 80

Answer:

Option 4

Step-by-step explanation:

The formula for distance is d = s * t (distance = speed times time)

so we can use algebra to find s

d = s * t

s * t = d

s = d / t (which is option 4)

 option number 4 is the correct formula

Answer:

c = 4

Step-by-step explanation:

[tex]2(c + 1) = 10[/tex]

[tex] \mapsto2c + 2 = 10[/tex]

[tex] \mapsto2c = 10 - 2[/tex]

[tex] \mapsto2c = 8[/tex]

[tex] \mapsto \: c = 8 \div 2[/tex]

[tex] \therefore \: c = 4[/tex]

Answer:

y as well will increase as x value increases bc x is a whole number and y intercept is positive 4

It is found that as the x value increases then the y value will also increase.

An equation represents the equality of two or more mathematical expressions. When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold for those values). Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We have been given the equation as y = x² + 4

when the value of x is 0 then the value of y will be;

y = x² + 4

y = 0 + 4

y = 4

when the value of x is 1 then the value of y will be;

y = 1² + 4

y = 1 + 4

y = 5

Also when the value of x is 2 then the value of y will be;

y = 2² + 4

y = 4 + 4

y = 8

Thus we can conclude that as the x value increases then the y value will also increase.

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

Answer:

Step-by-step explanation:

Given:

Find the following:

Correct choice is B

f(3+h):-

[tex]\\ \sf\longmapsto f(3+h)[/tex]

[tex]\\ \sf\longmapsto 3(3+h)-2[/tex]

[tex]\\ \sf\longmapsto 3h+9-2[/tex]

[tex]\\ \sf\longmapsto 3h+7[/tex]

f(3):-

[tex]\\ \sf\longmapsto 3(3)-2[/tex]

[tex]\\ \sf\longmapsto 9-2[/tex]

[tex]\\ \sf\longmapsto 7[/tex]

Now

[tex]\\ \sf\longmapsto \dfrac{f(3+h)-f(3)}{h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3h+7-7}{h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3h}{h}[/tex]

[tex]\\ \sf\longmapsto 3[/tex]

Answer:

Top Right

Step-by-step explanation:

If you were to draw a vertical line anywhere on the graph, it would touch the other line in only one spot. Each input value (x) has only one output value (y).

Answer:

[tex]6\cdot2.6=15.6[/tex]$ for [tex]2.6[/tex] pounds

Step-by-step explanation:

Rate - [tex]6[/tex] dollars per pound

We have [tex]2.6[/tex] pounds

Here's our equation

[tex]6\cdot2.6[/tex]

[tex]6\cdot2.6=15.6[/tex] for [tex]2.6[/tex] pounds

Answer:

352/7  is answer

Step-by-step explanation:

Answer:

6/16

Step-by-step explanation:

there are 6 chances for it to be a double success out of a total 16 tries