14x+5y=31
2x−3y=−29

Answers

Answer 1

Answer:

x = -1, y = 0=9

Step-by-step explanation:

Multiply the second equation by 7 and subtract the two.

14 x + 5 y = 31

- (14 x - 21 y = -203)

This gives 26 y = 234. Divide both sides by 26. y = 9

Then substitute y into any equation. I'll use

 2 x - 3 y = -29

2 x -3(9) = -29

 2 x - 27 = -29

         2 x = -2

           x = -1


Related Questions

Please help

the diagram shows a cube and a cuboid

Answers

Answer:

2197 cm³

Step-by-step explanation:

surface area of cuboid = 2 * (5*9 + 33*9 + 33*5) = 1014

surface area of cube = 6 * x²   .... x: side length of cube

6x² = 1014

x² = 169

x = 13

volume of cube = x³ = 13³ = 2197 cm³

Solve the system of equations-y = -1 and -51 - 3y = -15 by combining the equations​

Answers

Answer:

No solution

Step-by-step explanation:

-y = -1

-51 - 3y = -15

-3y = -15 + 51

-3y = 36

y = -12

y = 1

y = -12

No solution

a)How many similar figures can be drawn inside the following figures?
Find the limit of area and perimeter


Answers

yes yes yes yes yes

If two coins are tossed what is the probability that the first one will show heads and the second coin will show tails

Answers

Answer:

2/4 which simplifies to 1/2

which angle you flip it and how much force you use

Which phrase describes the shape of the data?
.
.
.
12
13
14
15
10
17
18
A. Symmetric, not bell-shaped
B. Not symmetric, bell-shaped
C. Not symmetric, not bell-shaped
D. Symmetric bell-shaped

Answers

Answer:

C. Not symmetric; not bell-shaped.

Step-by-step explanation:

In a symmetric data distribution, the shape on the left side is almost the same as the shape on the right side of the middle. In this type of data distribution, if different measure of centers are calculated (mean, median, and mode), they will have a similar figures that are close together. Symmetric distributions are bell-shaped.

On the other hand, if the data distribution is not symetric, it means the left and the right side of the distribution are not equal and do not have the same shape.

The data in the dot plot above is considered as NOT SYMMETRIC. Also, it is not bell-shaped.

Answer:

c

Step-by-step explanation:

what is the square root of 377.68

Answers

Answer:

19.4339908408

19.434...... and round down

For a quadrilateral to be a rhombus, the diagonals ______________ and ______________.

first blank choices:
must be congruent
must not be congruent
can be congruent or not congruent

second blank choices:
must be perpendicular
must not be perpendicular
can be perpendicular or not perpendicular

Answers

9514 1404 393

Answer:

can be congruent or not congruentmust be perpendicular

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other. If they are congruent, the rhombus is a square.

Your blanks can be filled with ...

can be congruent or not congruentmust be perpendicular

We would like to point out that these descriptors also apply to a kite. The figure will only be a rhombus if the diagonals bisect each other (as for any parallelogram).

A random sample of 15 college soccer players were selected to investigate the relationship between heart rate and maximal oxygen uptake. The heart rate and maximal oxygen uptake were recorded for each player during a training session. A regression analysis of the data was conducted, where heart rate is the explanatory variable and maximal oxygen uptake is the response variable.
If a 95 percent confidence interval is constructed for the slope of the population regression line, which of the following is a condition that must be checked?
A) The true relationship between heart rate and maximal oxygen uptake is linear.
B) The correlation between heart rate and maximal oxygen uptake is not equal to zero.
C) The confidence interval is not biased.
D) The point (x_,y_) falls on the regression line. The X and Y have a line on top.
E) The slope is not equal to zero.

Answers

Answer:

C) The confidence interval is not biased.

Step-by-step explanation:

When a relationship between two variables is observed the confidence interval should not be biased. If the confidence interval is found to be biased then the observed results will be reliable and accurate. Regression analysis of  heart rate and maximal oxygen uptake is analyzed and the correlation will not be equal to zero. This means there will be some correlation between the two variables.

The necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

What are explanatory and response variables?

Explanatory variables are also called independent variables and they explain variations in the response variables. They are not dependent on any directly considered variable in the considered situation.

The response variables are also called dependent variables and their values depend on the values of the explanatory variables.

For this case, it is considered that:

Explanatory variable: Heart rateResponse variable: Maximal oxygen uptake

It is not specified that regression is linear but specified that there is regression analysis was conducted. Regression is useful only if there is any correlation between two variables.

Thus, the most important condition that must be checked is:

Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

(because 0 correlation shows that variables are independent, so no influence of explanatory variable on response variable and they are independently taking up their values compared to each other).

Thus, the necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

Learn more about correlation here:

https://brainly.com/question/10725272

A grocery store recently sold 10 cartons of yogurt, of which 5 were raspberry. What is the experimental probability that the next carton of yogurt sold will be raspberry? ​

Answers

Answer:

Step-by-step explanation:

10/16

Help with this equation please

Answers

Answer:

[tex]y=-\frac{2}{3}x+6[/tex]

Step-by-step explanation:

Let the equation of the line representing the given table is,

y = mx + b

Here, m = slope of the line

b = y-intercept

From the given table,

Since, slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through (3, 4) and (4, [tex]\frac{10}{3}[/tex]) will be,

m = [tex]\frac{4-\frac{10}{3} }{3-4}[/tex]

   = [tex]\frac{\frac{12-10}{3}}{3-4}[/tex]

   = [tex]-\frac{2}{3}[/tex]

Therefore, equation of the line will be,

[tex]y=-\frac{2}{3}x+b[/tex]

Since, this line passes through a point [tex](1, \frac{16}{3})[/tex],

By satisfying the equation with the given point,

[tex]\frac{16}{3}=-\frac{2}{3}(1)+b[/tex]

[tex]b=\frac{16}{3}+\frac{2}{3}[/tex]

[tex]b=\frac{18}{3}[/tex]

[tex]b=6[/tex]

Therefore, equation of the line will be,

[tex]y=-\frac{2}{3}x+6[/tex]

A grocer wants to mix two kinds of coffee. One kind sells for $0.85 per pound, and the other sells for $2.70
per pound. He wants to mix a total of 21 pounds and sell it for $0.95 per pound. How many pounds of
each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)

Answers

Answer:

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

Step-by-step explanation:

Let

x = $0.85 per pound

y = $2.70 per pound

x + y = 21 (1)

0.85x + 2.70y = 19.95 (2)

From (1)

x = 21 - y

Substitute x = 21 - y into (2)

0.85x + 2.70y = 19.95 (2)

0.85(21 - y) + 2.70y = 19.95

17.85 - 0.85y + 2.70y = 19.95

- 0.85y + 2.70y = 19.95 - 17.85

1.85y = 2.1

y = 2.1 / 1.85

y = 1.14

Substitute y = 1.14 into (2)

0.85x + 2.70y = 19.95

0.85x + 2.70(1.14) = 19.95

0.85x + 3.078 = 19.95

0.85x = 19.95 - 3.078

0.85x = 16.872

x = 16.872 / 0.85

x = 19.85

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

Let corn denote per capita consumption of corn in bushels at the county level, let price be the price per bushel of corn, let income denote per capita county income, and let rainf all be inches of rainfall during the last corn-growing season. The following simultaneous equations model imposes the equilibrium condition that supply equals demand:
corn = alpha1 price + beta1 income + mu1
corn = alpha2 price + beta2 rainfall + gamma rainfall2 + mu2
Which is the supply equation, and which is the demand equation? Explain.

Answers

Answer:

[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex] --- Demand

[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex] --- Supply

Step-by-step explanation:

Given

[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex]

[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex]

Required

Identify the demand and the supply equation.

To identify which is the demand equation and which is the supply equation, we simply look through the constraints of the equation.

For (1):

[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex]

We have: Price and Income

For (2):

[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex]

We have: Price and Rainfall

In (1), price and income determines the demand of a product.

Hence, (1) represents the demand equation

In (2), price and weather condition (rainfall) determines the supply of a product.

Hence, (2) represents the supply equation.

HELP IM TIMED. ILL MARK BRAINLIEST!

Answers

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

PLEASE HELPPP!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

If you get that right, follow Sammy Revv on Spotify please

Do -16 and 16 have the same value

Answers

Answer:

No they do not

Step-by-step explanation:

16 is positive -16 is negative they have different values. Hope this helps!

no -16 and 16 does not have the same value

Each triangle in the net has a base length that measures 6 inches and a height that measures 4 inches. What is the surface area of the pyramid that can be formed from this net? 12 inches squared 24 inches squared 36 inches squared 48 inches square

Answers

Answer:

Surface area of triangular pyramid = 48 inch²

Step-by-step explanation:

Given:

Base length of triangle = 6 inches

Height of triangle = 4 inches

Find:

Surface area of triangular pyramid

Computation:

Surface area of triangular pyramid = 4 x [Surface area of triangle]

Surface area of triangular pyramid = 4 x [(1/2)(b)(h)

Surface area of triangular pyramid = 4 x [(1/2)(6)(4)

Surface area of triangular pyramid = 4 x [(1/2)(24)]

Surface area of triangular pyramid = 4 x 12

Surface area of triangular pyramid = 48 inch²

Two students went shopping and bought $150 worth of clothes they had to pay an additional $14.78 in tax. Estimate the tax rate they had to pay.

Answers

Answer:

10.15

Step-by-step explanation:

I divided the worth of clothe and the tax

Determine the median of the following numbers: 8, 11, 11, 12, 13, 15, 16, 16, 18, 21​

Answers

The median of the following numbers is 14

Order the numbers from least to greatest
Since median means middle mark off a number on each side until there is one left. That will be your answer
If it is an even amount of numbers than take the middle two numbers and find the average (mean)
To do so add the numbers and divide by two

Answer:

The median of the following numbers is 14

Step-by-step explanation:

find the next number 2,5,12,25,54 ​

Answers

Answer:

Step-by-step explanation:

The next number is 110

Help me please help ASAP help me ASAP please please help ASAP

Answers

Answer:

P = 10π + 30 ≈ 61.4

Step-by-step explanation:

Perimeter = s1 + s2 + s3 + s4

= πd/2 + 15 + πd/2 + 15 = 2 (5π + 15) = 10π + 30 ≈ 61.4

Pls help I’ll brainlest

Answers

13/15 because you’re just adding the ones that aren’t blue. Trust me

Answer:

(D) 13/15

Step-by-step explanation:

Well there are 15 marbles in total.

There are 2 marbles that are blue

The qusection asks for the probability of NOT a blue

so 13/15

The Louvre pyramid in Paris is built of glass panes. The top row has 4 glass panes, and each row after it has 4 more panes than the previous row. How many panes of glass are in the 16th row?

Answers

Answer:

Number of glass panel in 16th row = 64

Step-by-step explanation:

Given:

Number of glass panel in first row = 4

Each next row added number of glass panel = 4

Find:

Number of glass panel in 16th row

Computation:

An = a + [n-1]d

An = given term = A16

a = first term = 4

n = number of term = 15

d = Common difference = 4

An = a + [n-1]d

An = 4 + [16-1]4

An = 4 + [15]4

An = 4 + 60

An = 64

Number of glass panel in 16th row = 64

the number is a 5 digit number.the value at ones and tens place is the highest single digit number .the hundreds place is double the thousands..the thousands place is double the ten thousands place is number 2 . write the numeral

Answers

Answer:

24,899

Step-by-step explanation:

Please simplify this!
[tex]( {3}^{2}) {}^{3} [/tex]

Answers

the answer is 729.
jsjsjdhdhdhsjwjkwkw

Answer:

729

Step-by-step explanation:

We have the equation [tex](3^2)^3[/tex] and are asked to simplify it.

When you have a number with an exponent inside the parenthesis, and then another exponent right out of the parenthesis, you follow the rule where you multiply both exponents together.

Therefore,

[tex](3^2)^3=3^{2*3} =3^6[/tex]

[tex]3^6 = 729[/tex]

What is the value of x?
30
v
O 45
T
(3x) °
O 55
-40
R
O 60
w
Intro

Answers

Answer:45

Step-by-step explanation:

The value of x by the given data is 190/3 or 63.33

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The angles between the lines

Now,

To find the value of x, you need to use the fact that the sum of angles in a triangle is equal to 180°1. This means that:

30° + (3x)° + (-40)° = 180°

Simplifying, we get:

(3x)° - 10° = 180°

Adding 10° to both sides, we get:

(3x)° = 190°

Dividing both sides by 3, we get:

x = 190/3

Therefore, by algebra the answer will be 190/3 or 63.33.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ7

what is 873 divided by 35?!!

Answers

873 divided by 35= 24 33/35

a firm has ebit of 1,000,000 and depreciation expense of 400,000. fixed charges total 600,000. interest expense totals 70,000. what is the firm cash coverage ratio. ​

Answers

Answer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is 7.89 times

Which rectangle has a greater length?
a. area = 80 cm^2 (5cm)
(?cm)

b. area = 120 cm^2 (8cm)
(?cm)

Answers

Answer:

the answer for the question is 1.5

Function or a Relation?

X Y
-13 -3
-3 7
12 -13
17 8
-3 14
0 -19

Answers

Answer:

Hi! The answer to your question is Relation

Step-by-step explanation:

To be a function the x values can't repeat, since they do, its a relation

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Nathaniel created the circle graph below
to show the percentage of his free time he
will engage in different activities on Sunday.
Free Time
Drawing Reading
25%
Exercising
30%
Watching
Television
25%
If Nathaniel has 9 hours of free time on
Sunday, which shows the amount of time
he will spend reading?
A 1 hour 8 minutes
B 1 hour 35 minutes
C 1 hour 21 minutes
D 1 hour 48 minutes

Answers

There’s this guy named 56;(7|%#Nathaniel I used tho know but he was a predator

Answer:

The real answer is 1 hour and 8 minutes

Step-by-step explanation:

You add all the percentages you have then you get 80% so you mince that by a hundred witch is 20% so now you need to find out what is 20% of 9 wich is 1.8 making the answer 1 hour and 8 miutes c:

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