Use the substitution method to solve the system of equations.
3x + 4y = 10
y = x-1
A. (2,3)
B. (2,1)
C. (3,2)
D. (1,2)

Answers

Answer 1

Answer:

B

Step-by-step explanation:

3x + 4(x-1) = 10

3x+4x-4=10

7x-4=10

+4     +4

7x=14

/7   /7

x=2

y=(2)-1

y=1


Related Questions

Today only, a suit is being sold at a 15% discount. The sale price is $391.
What was the price yesterday?

Answers

Answer:

$460.

Step-by-step explanation:

[tex]Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\[/tex]

So the price yesterday was $460

−(5x−0.4)=−7(−0.4−x) need to be exact or rounded to the nearest hundredth.

Answers

Answer:

-0.2

Step-by-step explanation:

it's that exact answer , I did not rounded

whats 2 over 3 x5 in fractions

Answers

first you have to start from the prioritization rule. so you start with

3 • 5 = 15
15/2 = 7.5

but you can do the opposite as well

2/3 = 1.5
1.5 • 5 = 7.5

write the slope intercept form of the equation of each line​

Answers

the slope intercept form of the equation is, y= 1/5x+3

Answer:

y=1/5x+3

Step-by-step explanation:

Slope-intercept form is written as y=mx+b, with mx representing slope and b representing the y-intercept.

Referring to the line on the graph, find where the line crosses the y-axis and you get 3 for your y-intercept. Now, to get the slope start from the point of the y-intercept (0,3) and choose another point. For example, choose (5,4)

Remember rise over run. Start from the y-intercept and count up and over until you get to (5,4). When doing this, you get 1/5

Equation is: y=1/5x+3

I need help on this question if you can I'll give you brainliest and 20 points

Answers

the value of k would be -5

Dan is driving from his hometown to California to Colorado for a ski vacation. The equation defines the distance he is from home h hours after noon. What are the meanings of the values in the equation?
y=70h+100
a. Dan is 100 miles from home at noon and is traveling at 70 miles per hour.
b. Dan is 70 miles from home at noon and is traveling at 100 miles per hour.
c. Dan leaves at 1:00 and is traveling at 70 miles per hour.
d. Dan leaves at noon and is traveling at 100 miles per hour.

Answers

Answer:

a. Dan is 100 miles from home at noon and is travelling at 70 miles per hour.

Step-by-step explanation:

Given

[tex]y = 70h + 100[/tex]

Required

Interpret

An equation has the form

[tex]y = mx + b[/tex]

Where

[tex]m = rate[/tex]

[tex]b = y\ intercept[/tex]

By comparison with [tex]y = 70h + 100[/tex]

[tex]m = 70[/tex]

i.e. He travels at 70 miles per hour

And

[tex]b = 100[/tex]

This represents the initial distance as at when he started travelling (12 noon)

i.e. At noon, he is 100 miles away from home

Answer:

A is the right answer.

Step-by-step explanation:

In a city in Ohio, the sales tax rate is 7%. What is the sales tax of a pillow that costs $8? *

Answers

Answer:

.56 cent

Step-by-step explanation:

Hope this helped you!! Give brainliest.

Should be pretty easy to answer, I just need a refresher. I forgot how to solve for triangles...

Answers

Answer:

x = 25.734083

[tex]x \approx 25.734[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

Note we are given an angle of 25°. The opposite side is 12 and the adjacent side is x. We need to relate those sides with a trig function (the tangent ratio)

Tangent Ratio:

[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

Substituting:

[tex]\displaystyle \tan 25^\circ=\frac{12}{x}[/tex]

Solving for x:

[tex]\displaystyle x=\frac{12}{\tan 25^\circ}[/tex]

Calculating:

[tex]\displaystyle x=\frac{12}{0.466307}[/tex]

x = 25.734083

Round to 3 decimals:

[tex]\mathbf{x \approx 25.734}[/tex]

The dimensions for a rectangular prism are x + 5 for the length, x + 9 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form.

Answers

Answer:

Step-by-step explanation:

v

=

x

3

+

6

x

2

+

5

x

Explanation:

The formula for volume is:  

v

=

l

w

h

where  

v

is the volume,  

l

is the length,  

w

is the width and  

h

is the height.

Substituting what we know into this formula gives:

v

=

(

x

+

5

)

(

x

+

1

)

x

v

=

(

x

+

5

)

(

x

2

+

x

)

v

=

x

3

+

x

2

+

5

x

2

+

5

x

 

v

=

x

3

+

(

1

+

5

)

x

2

+

5

x

v

=

x

3

+

6

x

2

+

5

x

Which coordinate pair is a solution to the inequality 4x - 2y <22

Answers

Step-by-step explanation:

Given the inequality 4x - 2y < 22, to get the ordered pair of the inequality, we will have to set x = 0 and y = 0 and then solve

when x = 0;

4(0)-2y < 22

-2y < 22

Divide both sides by -2

-2y/-2 > 22/-2

y > -11

When y = 0

4x - 2(0)<22

4x < 22

x < 22/4

x < 11/2

Please help due soon!

Answers

H = 2sqrt2
D = 6sqrt3

In a 45,45,90 triangle the hypotenuse is (x)sqrt2 while the side lengths are equivalent being a single value x. Therefore, when given the hypotenuse and solving for the leg, divide 4 by sqrt2 to get 4sqrt2/2 which simplifies to 2sqrt2 when the denominator and numerator cancel.

In a 30,60,90 triangle the short leg x is across from the 30 degree angle meaning the angle across from the 60 degree angle is x times the sqrt of 3. Therefore the long leg is 6sqrt3

what is 2x2? I am rellying on you smart people
;)

Answers

Answer:

4

Step-by-step explanation:

2*2 answer is 4

please help me i give 5* along with thanks for quality answer

Answers

Answer:

The total number of faces in a pyramid= 1+n

Suppose the linear regression line y = 2.1x + 130 predicts sales based on the
money spent on advertising. If x represents the dollars spent in advertising,
and y represents the company sales in dollars, about how much can the
company expect in sales if it spends $150 in advertising?

Answers

Answer:

$445

Step-by-step explanation:

Linear regression line y=2.1x+130 predicts sales based on the money spent on advertising.

Linear regression represents the relationship between two variables. the value of y depends on the value of x.

x represents the dollars spent in advertising and y represents the company sales in dollars.

We need to find out sales y when $150 spends on advertising.

Plug in 150 for x and find out y

y = 2.1 x + 130

y = 2.1 (150) + 130

y= 445

The company expects $445 in sales

The company expects $445 in sales.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Linear regression line y = 2.1x + 130 predicts sales based on the money spent on advertising.

Now, Linear regression represents the relationship between two variables. the value of y depends on the value of x.

Here, x represents the dollars spent in advertising and y represents the company sales in dollars.

We need to find out sales y when $150 spends on advertising.

Plug in 150 for x and find out y as;

y = 2.1 x + 130

y = 2.1 (150) + 130

y = 445

Thus, The company expects $445 in sales.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Can somebody help me solve this equation?

Answers

Join the yarichin supremacy

Maya has 120 caramel apples to sell. Each caramel apple is covered with one toppin.

Answers

they got sold by her

Step-by-step explanation:

lol she sold her apples to people

Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum
(physics question)

Answers

The magnitude of two vectors are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]

and the directions are

[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]

What is the magnitude of the vector?

The magnitude of a vector can be defined as:

The length of a vector or the distance between the initial point and the endpoint of a vector.

Here given that,

[tex]A=2i+3j+4k\\B=i-2j+3k[/tex]

The magnitude of a vector is the length of the vector.

The magnitude of the vector a is denoted as ∥a∥.

For magnitude,

[tex]|A|=\sqrt{2^2+3^2+4^2}\\\\=\sqrt{4+9+16}\\\\=\sqrt{29\\\\}\\|B|\\=\sqrt{1^2-2^2+3^2}\\\\=\sqrt{1-4+9}\\\\=\sqrt{6}[/tex]

For Direction of sum,

[tex]\frac{A}{|A|}\\\\=\frac{1}{\sqrt29}[2i+3j+4k]\\\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]

For the vector B, the direction of the sum is

[tex]\frac{B}{|B|}\\\\=\frac{1}{\sqrt{6}}[i-2j+3k][/tex]

Hence, the magnitudes are [tex]|A|=\sqrt{29},|B|=\sqrt{6}[/tex]

and the direction are

[tex]A=\frac{1}{\sqrt29}[2i+3j+4k]\\\\B=\frac{1}{\sqrt6}[i-2j+3k][/tex]

To know more about the magnitude;

https://brainly.com/question/1852933

#SPJ6

For the picture I think you can zoom in to see it more clearly.

Answers

Answer:

y=15x

Step-by-step explanation:

YEPP PRETTY CONFIDENT IN THE ANSWER

9514 1404 393

Answer:

  s = 15w

Step-by-step explanation:

The problem statement tells you the dependent variable is s, and the independent variable is w. Unfortunately, the graph axes are labeled y and x instead of s and w. The line on the graph has a "y-intercept" of 0 and a rise/run of 30/2 = 15.

The equation asked for is ...

  s = 15w

HELP WILL GIVE BRAINIEST IF ANSWERED FAST!!! HELP NOWWWW

Answers

33

Since it is parallel, that means that the line will have the same slope. Just simplify and add the x values in the first equation to get 33x.

lol but how do i do this??

Answers

Answer:

Y=x+12

Step-by-step explanation:

Not pretty sure XD but .-.

Answer: 1/2 x + 3

Step-by-step explanation: y = 3 slope = 1/2

49y²+42y+9 please I need help, I promise to rate you as the brain lest when I get the exact answer am looking for ​

Answers

Answer:

[tex]\huge\boxed{\sf (7y+3)(7y+3)}[/tex]

Step-by-step explanation:

[tex]\sf = 49y^2+42y+9\\\\=(7y)^2+2(7y)(3)+(3)^2\\\\Using \ Formula \ a^2+2ab+b^2 = (a+b)^2\\\\= (7y+3)^2\\\\= (7y+3)(7y+3)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

easy multiple choice!

Answers

Answer:

what are the choices

Step-by-step explanation:

Answer: is there suppose to be a pic?

17. Write an equation for the translation of y = |x| that is 2 units left. ​

Answers

I think it’s y=|x|-2

Estimate the difference.

14One-ninth – 5.89

8
12
16
20

Answers

Answer:

8

Step-by-step explanation:

exact

127/9-5.89

14.11-5.89

8.22

estimating

14 1/9 is close to 14

5.89 is close to 6

14-6 is 8

Answer:

the answer is 8

Step-by-step explanation:

hope i help

from formula I=U/R tell the R
R=I/U
R=U/I
R=IU

Answers

Answer:

R = [tex]\frac{U}{I}[/tex]

Step-by-step explanation:

Given

I = [tex]\frac{U}{R}[/tex] ( multiply both sides by R to clear the fraction )

R × I = U ( isolate R by dividing both sides by I )

R = [tex]\frac{U}{I}[/tex]

Anasia is a basketball player who regularly shoots sets of 2 free-throws. Suppose that each shot has probability
0.7 of being made, and the results of the shots are independent.
The table below displays the probability distribution of X, the number of shots that Anasia makes in a set of 2
attempts.
2
X=of makes 0 1
P(X)
0.09 0.42
0.49
Given that r = 1.4 makes, find the standard deviation of the number of shots that Anasia makes.
Round your answer to two decimal places
shots

Answers

Answer:

0.65

Step-by-step explanation:

The required standard deviation is 0.65

Given data is,

Computation:

[tex]\varepsilon_x\times P(X=x)=0\times 0.09+1\times0.42+2\times0.49\\=0.42+0.98\\=1.4[/tex]

Now,

[tex]E(X^2)=0^2\times 0.009+1^2\times 0.42+2^2\times 0.49\\=0.42+1.96\\=2.38\\\sigma ^2=E(X^2)-(E(X))^2\\=2.38-(1.4)^2\\=0.42\\\sigma =\sqrt{0.42}\\=0.65[/tex]

Learn More:https://brainly.com/question/22920224

This table shows a proportional
relationship.
4
-2
0
2
4
-14 -7
0
7
14
Which ordered pair could also belong to
this relationship?
A (-6,21)
B -1.-3)
C (1,3)
D (6,21)

Answers

Answer:

D (6, 21)

Step-by-step explanation:

Since the ratio of the corresponding values of x and y given in the table is 2 : 7

So, 6/ 21 = 2/7 = 2: 7

Thus, D (6, 21) is the correct answer.

Answer:

D

Step-by-step explanation:

A dressmaker has 75 yards of lace. it takes
[tex]1 \frac{1}{2} [/tex]
yards of lace to decorate one pocket.
How many pockets can she decorate with the lace she has.​

Answers

Answer:

50 pockets

Step-by-step explanation:

Total yards of lace = 75

Yards to decorate one Pocket = 1 1/2 yards

How many pockets can she decorate with the lace

Number of pockets she can decorate with the lace = Total yards of lace / Yards to decorate one Pocket

= 75 ÷ 1 1/2

= 75 ÷ 3/2

= 75 × 2/3

= 150/3

= 50

Number of pockets she can decorate with the lace = 50 pockets

m24 = 115°
mZ1 = (2x)
m22 = (x + 28)

Answers

Answer:

n the figure, m 3 = 75 and mZ10 = 115. ... CY 337] . 2x +13269. 2x =50. X=28. Find mZ1 in each figure. Exoor. 10. تا ... m24 = 75 24 and 22 are vertical angles.

Missing: m22 = ‎| Must include: m22 =

Step-by-step explanation:

Una familia, formada por 3 adultos y 6 niños, va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €. Por cada 3 entradas que se compran rebajan 4 €. ¿Cuánto paga la familia?

Answers

Answer:

La familia paga 72 €.

Step-by-step explanation:

Una familia, formada por3 adultos y 6 niños , va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €.

Entonces, para calcular el precio que deben pagar los adultos se debe multiplica la cantidad de adultos que asisten al Parque de Atracciones por el precio de una entrada de adultos.

3 adultos* 12 €= 36 €

Para calcular el precio que deben pagar los niños se debe multiplica la cantidad de niños que asisten al Parque de Atracciones por el precio de una entrada de niños.

6 niños* 8 €= 48 €

Sumando el total pagado por la entrada para adultos y para niños se obtiene:

36 € + 48 €=  84 €

La familia debería pagar 84 €. Pero por cada 3 entradas que se compran rebajan 4 €. En este caso se deben pagar 3 entradas para adultos y 6 para niños, es decir que se deben pagar 9 entradas en total. Por lo que la familia debe pagar 3 "packs" de 3 entradas. Entonces, se rebaja:

3 "packs" de 3 entradas*  4 €= 12 €

Entonces, del total a pagar por la familia se debe restar la rebaja que el parque realiza:

84 € - 12 €= 72 €

Finalmente, la familia paga 72 €.

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