What is the solution to the system -3×+4y+2z=-3 2×-4y-z=0 y=3x-13

Answers

Answer 1

Answer:

x=5, y=2, z=2

Step-by-step explanation:

y=3x-13

-3x+4y+2z = -3x + 4(3x-13) + 2z = 9x+2z-52 = -3

9x + 2z = 49  ... (1)

2x-4y-z = 2x-4(3x-13)-z = -10x-z+52 = 0

10x + z = 52  ... (2)

(2)*2-(1): 11x = 55         x = 5

y = 3x-13 = 15-13 = 2      y=2

z = (49-9x) / 2 = 2         z = 2


Related Questions

a man spends 1/9 of his salary on rent, 1/2 on food and 1/4 on clothes and other items. if he has GHC 195 left at the end of the month, how much does she earn.​

Answers

Answer:

1404

Step-by-step explanation:

round 0.25 to the nearest hundredth ​

Answers

Answer:

0.25

Step-by-step explanation:

there is no hundredth in 0.25

Rounding 0.25 to the nearest hundredth gives us 0.26.

We must look at the digit in the thousandth place, which is the following decimal place after the hundredth place, in order to round 0.25 to the closest hundredth.

We round up the digit in the hundredth place by adding 1 since the digit in the thousandth place is 5, which is equal to or larger than 5.

Thus, 0.26 is obtained by rounding 0.25 to the next tenth.

0.25 (initial number) worked

(Number in the thousandth place) (Number in the hundredth position)

We round up the digit in the hundredth place since the digit in the thousandth place is 5, which is 5.

Hence rounding to the nearest hundredth, 0.25 equals 0.26.

Learn more about rounding figures click;

https://brainly.com/question/29261078

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4x^2 times what equals -5x^2

Answers

Answer:

-1.25

Step-by-step explanation:

-5/4=

-1.25

check answer

4*-1.25= -5

Find the median of the following set of numbers.
{36, 16, 24, 33, 49}

Answers

Answer:

33

Step-by-step explanation:

First, you need to put it in numerical order: 16, 24, 33, 36, 49

Next, find the number in the MIDDLE of it, which would be 33.

So, the answer is 33.

slope of the line (1,2)(4,1)

Answers

Answer:

-1/3

Step-by-step explanation:

y2 - y1 / x2 - x1

(1,2)(4,1)

1-2 / 4-1

-1/3

ILL GIVE BRANLIEST!! HELP NOW!!!

Garnet has a container with 4 1/3 cups of flour in it. She can make one dozen muffins with cups of flour. How many dozens of muffins can Garnet make with the flour she has?

A. 10 1/9
B. 1 6/7
C. 1 1/3
D. 2​

Answers

She has 4-1/3 cups of flour

She can make one dozen of muffins with 2cups of flour..

She can make muffins=

[tex]\\ \sf\longmapsto 4\dfrac{1}{3}\div 2[/tex]

[tex]\\ \sf\longmapsto 2\dfrac{1}{3}[/tex]

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

But Now total dozens=

[tex]\\ \sf\longmapsto 4\dfrac{1}{3}\times \dfrac{7}{3}[/tex]

[tex]\\ \sf\longmapsto \dfrac{13}{3}\times \dfrac{7}{3}[/tex]

[tex]\\ \sf\longmapsto \dfrac{91}{9}[/tex]

[tex]\\ \sf\longmapsto 10\dfrac{1}{9}[/tex]

A line passes through (-2,4), (-4, 8), and (n, -4). Find the value of n.

Answers

Answer: n = 2 ....... (2, -4)

Step-by-step explanation:

To find n, one must write the equation for the points given, which are (-2, 4) and (-4, 8). Remember, the standard linear equation is y = mx + b, where m is the slope of the line.

To find the slope, refer back to (y2-y1)/(x2-x1), or in this case, (8-4)/(-4+2), which gives us -2

With our slope of -2, we can write the equation as y = -2x+b. Now, we need to find b (the y-intercept) by plugging in a point as (x,y)

Let's use (-4,8) point and plug it into our linear equation: y = -2x+b

to get 8=(-2)(-4) +b

8=8+b

0=b (which means our y-intercept is 0)

Now, our official linear equation is y=-2x

The problem gives us (n, -4) where -4 y, so we plug in -4 as y in the equation to get:

-4=-2x

-4/-2=x

2 = x

And there we go :) I hope this helps!

Answer:

The value of n =  2.

Step-by-step explanation:

Given the following points passing through a line, (-2, 4), (-4, 8), and (n , -4) wherein we must find the value of n:

It helps to determine the equation of the line, using the slope-intercept form: y = mx + b, where:

m = slope (rate of change), which measures the steepness of the line.b = y-coordinate of the y-intercept; it is the point on the graph where it crosses the y-axis.

Slope:

In order to solve for the slope of the line, use the following slope formula:

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

Let (x₁, y₁) = (-2, 4)

     (x₂, y₂) = (-4, 8)

Substitute these values into the slope formula.

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

[tex]\displaystyle\mathsf{m =\:\frac{8 - 4}{-4 -(-2)}\:=\:\frac{4}{-4+2}\:=\Frac{4}{-2}\:=\:-2}[/tex]

Hence, the slope of the line is: m = -2.

Y-intercept:

Next, we must solve for the y-intercept.  Since it is the point where the graph crosses the y-axis, set x = 0 and solve for the value of y.  

Use the slope, m = -2, and one of the given points, (-2, 4), and substitute these values into the slope-intercept form to solve for the value of the y-intercept, b:

y = mx + b

4 = -2(-2) + b

4 = 4 + b

Subtract 4 from both sides:

4 - 4 = 4 - 4 + b

0  = b

The y-intercept is: b = 0.

Linear Equation in Slope-intercept Form:

Therefore, the equation of the line in slope-intercept form is:

y = -2x + 0 or y = -2x.

Find the value of n in (n, -4)

In order to determine the value of n, substitute its corresponding y-coordinate, -4, and substitute into the equation in the previous step:

Set y = -4:

y = -2x

-4 = -2x

Divide both sides by -2 to solve for x:

[tex]\displaystyle\mathsf{\frac{-4}{-2}\:=\:\frac{-2x}{-2}}[/tex]

x = 2

Therefore, the value of n = 2.

6. The cost to download a normal movie is $15.00. New released movies
cost $18.00 to download. What is the percent of increase from a normal
movie download and the new releases?

Answers

Answer:

+20% increase

Step-by-step explanation:

(V2−V1)/|V1|×100

=(18−15)|15|×100

=315×100

=0.2×100

=20%change

=+20%increase

the percent of increase from a normal movie download and the new releases are $3.00

y = x + 3

help with table and graph

Answers

Table:

1st row: x = -2 and y = 1

2nd row: x = -1 and y = 2

3rd row: x = 0 and y = 3

(It will continue going on with x and y each going up by one infinitely.)

Graph:

The graph is linked, so you can plot the points.

If needed, here are the plotted points:

-2, 1

-1, 2

0, 3

(The same things put in the table. Also, if needed, I added the extra points of 1, 4 and 2, 5 on the image.)

Hope this helps! :D

At the close of one business day, TNT stock was trading at $40 per share. At the close of the next business day, the stock was trading at $43 per shape. Find the percent of the increase

Answers

Answer: 7.5% increase by the end of the day.

Step-by-step explanation:

new - original = #

# / original = decimal

decimal x 100 = percent.

Solve for x: -7 < X - 1 < 8

Answers

Answer:

4th option

Step-by-step explanation:

-7 < X - 1 < 8

Add +1 on all side

-7+1<x-1+1<8+1

-6<x<9

Answer:

D

Step-by-step explanation:

-7<x-1 and - 1<8

-7<x-1 : x>-6

x-1<8 : x<9

combine x>-6 and x<9

= -6 < x < 9

A bakery must pay the state 8% sales tax on this week's total sales of $2,050. How much sales tax will the bakery pay to the state for this week?

A. $164.00


B. $164.00


C. $256.25


D. $256.25

Answers

164.00 is your answer

Hope it helps!

Please mark Brainliest if possible I’m just one away, thanks if you can

Please I have no clue

Question 1 A physician's “patient panel” is the list of all patients under their care. In the
US, the size of patient panels among primary care doctors is well modeled by a N(1500, 200)
distribution.

(a) If a "medium-sized” panel has anywhere from 1250 to 1750 patients, what proportion
of US primary care doctors have a patient panel that is NOT "medium-sized”?
(b) Find Q1,Q3 and the IQR of the patient panels of US primary care doctors.

Answers

Using the normal distribution, we have that:

a) The proportion  of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.

b)

Q1 = 1365.

Q2 = 1635.

IQR = 270.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

For this problem, N(1500, 200) means that [tex]\mu = 1500, \sigma = 200[/tex].

Item a:

The proportion that are medium-sized is the p-value of Z when X = 1750 subtracted by the p-value of Z when X = 1250, thus:

X = 1750:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1750 - 1500}{200}[/tex]

[tex]Z = 1.25[/tex]

[tex]Z = 1.25[/tex] has a p-value of 0.8944.

X = 1250:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1250 - 1500}{200}[/tex]

[tex]Z = -1.25[/tex]

[tex]Z = -1.25[/tex] has a p-value of 0.1056.

0.8944 - 0.1056 = 0.7888 are medium.

1 - 0.7888 = 0.2112.

The proportion  of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.

Item b:

Q1 is the first quartile, which is the 25th percentile, given by X when Z has a p-value of 0.25, so X when Z = -0.675. Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.675 = \frac{X - 1500}{200}[/tex]

[tex]X - 1500 = -0.675(200)[/tex]

[tex]X = 1365[/tex]

Thus, Q1 = 1365.

Q3 is the third quartile, which is the 75th percentile, given by X when Z has a p-value of 0.75, so X when Z = 0.675. Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 1500}{200}[/tex]

[tex]X - 1500 = 0.675(200)[/tex]

[tex]X = 1635[/tex]

Thus, Q3 = 1635.

The IQR is the difference between Q3 and Q1, that is:

[tex]IQR = Q3 - Q1 = 1635 - 1365 = 270[/tex]

Then, IQR = 270.

A similar problem is given at https://brainly.com/question/15953015

Need helpppppppppppppppppp

Answers

Answer:

46.3

Step-by-step explanation:

Mean is the average of all values. You add all the values on the table and divide them by the amount of values (here there are 10 land animals so you would divide by 10).

[tex]\frac{70+61+50+48+45+43+40+39+35+32}{10} =\frac{463}{10} = 46.3[/tex]

Write 41 and 4 as a mixed number

Answers

Answer:

10 and 1 fourth

Step-by-step explanation:

41 over 4 = 41/4 so you divide 41 by 4 which is 10 R1 so its 10 wholes, 1 and 4

> The cost of a popsicle at the snack stand is $0.75. Let p represent the number of popsicles and c represent total cost. Use an equation to represent the relationship between the numbers of popsicles bought and the total cost. Type your answer below.

This is what my previous tutor sent, that I don’t understand:
popsicles price: p = 0.75
c = cost
x = number of popsicles bought.
cost = popsicle price * number bought
c = p * x
c = 0.75x

Answers

Answer:

SWE

Step-by-step explanation:

PLS SOLVE I WILL GIVE BRAINLIEST

Answers

Answer:0.8004

Step-by-step explanation:

The correct answer is 0.8004

3 1/4 as in improper fraction

Answers

Answer:

13/4

Step-by-step explanation:

3 lots of 4 = 12.

Add 1 from the existing numerator.

Therefore, answer is 13/4.

Hope this helps :)

13/4. Multiply the denominator by then the whole number, then add the numerator. Keep the denominator. I hope this helps:)

James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have
budgeted $4,000 for their reception. If the reception hall charges a $50 cleanup fee plus $35 per person, find the greatest number of people that they may invite and still stay within their budget.

Answers

Answer:

They can invite at max 112 people.

Step-by-step explanation:

4000 - 50 = 3950

3950 / 35 = 112.85 (Can't round up to 113 because then it will go over their budget), so you will get 112 people.

will give brainliest to the correct answer
there are 192 candies. some are sour and some are sweet. for every 15 sour there is 1 sweet. how many candies are in the bag? how many are sweet?

Answers

there are 192 candies in the bag
13 are sweet and 179 are sour
i hope this helps and is the correct answer

X= 2y-3 what is equation for y

Answers

Answer:

y=1/2+3/2

Step-by-step explanation:

I wrote the answer is slope intercept form because it an equation for y

Slope intercept form = y=mx+b

Hope this helps

PLEASE ANSWER THIS
a)Convert 0.25 as fraction
b)Write ¹⁹⁄₂₀ in Decimal Form
Please Answer Ill Rate U 5/5 And Thank U

Answers

Answer:

a) 1/4

b) 0.95

Step-by-step explanation:

0.25 is 25/100, which is 1/4

19/25 is 95/100, which is 0.95


Please help me I need to pass

Answers

5/8

explanation:

if we turn the first option into an improper fraction: we get 1 3/4, so it’s not the first answer. for the second answer choice, we can convert 3/4 into the 8ths by multiplying both parts of the fraction by 2 to get 6/8. Since 7/8 is greater than 6/8, it’s not the second choice either. Knowing that 3/4 is the same as 6/8, 5/8 is less then 6/8 because 5 is less than 6. So, 5/8 is between 3/4 and 1. hope this helped!!

Answer:

5 / 8

Step-by-step explanation:

3 / 4 = 0.75

5 / 8 = 0.625

5 / 8 is between 1 and 3 / 4.

HELP! Which expression is equivalent to a^b/c

Answers

Answer:

[tex]{ \rm{ {a}^{ \frac{b}{c} } \: \dashrightarrow \: ( {a}^{b}) {}^{ \frac{1}{c} } }} \\ \\ { \boxed{ \rm{ \boxed{} \: \: \sqrt[c]{ {a}^{b} } }}} \\ [/tex]

Solve using the square root method X2=25

Answers

Answer:

Square root =

remember :

[tex]\boxed {x^2 = \pm a}[/tex]

x² = ± a

x = ña

.

x = ñ25

x = ±5

• x = 5 and -5

x^2=25
sqrt x^2= sqrt 25
x=5

Frankie charges 30$ per week for tutoring plus a 10$ sign up fee. Complete the table to show the relationship, then graph the table of values. WILL GIVE BRAINLIEST pls no bs answers

Answers

Answer:Answer:

8

Step-by-step explanation:

10(8) + 20 = 120

15 (8) = 120

Natalie and eight of her friends went out
to eat. They decided to split the bill
evenly. Each person paid $15. What was
the total bill?

Answers

The total bill was $135

Natalie AND her eight friends went to eat so there are 9 people.

Since each person paid $15, you can write this equation.

15 x 9 = 135

WHAT IS 300% ON 100 ?

Answers

Answer:

300.

Step-by-step explanation:

that's the answer.

Answer:

The answer would be 300

Step-by-step explanation:

300 x 100 = 30000

30000 ÷ 100 = 300

Hope this helps!!

marking as brainliest

Answers

9+8 add that and get 15 so basically the answer to this is 1/3

Answer:

3 cm

Step-by-step explanation:

area=length times width.

length=4

width must be 3 as 4x3=12

What is one set of values for A and B that will make the equation below true? (A × 10 3 ) = 6.572

Answers

Answer:

?

Step-by-step explanation:

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