Solve the system of equations:
x-y=4
4x-7z=24
4y+z=8

Answers

Answer 1

Answer: x=6, y=2, z=0

Step-by-step explanation:

We know from the third equation that z=8-4y

and from the first that x=y+4

Substitute into the 2nd equation,

4(y+4)-7(8-4y)=24

4y+16-56+28y=24

32y-40=24

32y=64

y=2

Meaning x=6 and z=0.


Related Questions

Write 5√7 using rational exponents

Answers

Answer:

7*(5)^0,5

:D hope it helps

12. Rileigh plays softball. She has 12 softball
bats, 4 helmets, 20 softballs, and 6 gloves.
What is the ratio of gloves to softballs?

Answers

Answer:

3:10

Step-by-step explanation:

i did it on paper and took a test on ratios a while ago and i got this answer have a good day and i hope you get a 100 :)

Two rectangles are similar. The first is 16 feet wide and 20 feet long. The second is 80 feet wide. What is the length of the second rectangle?

Answers

Answer:

100 feet long

Step-by-step explanation:

Answer:

length of second rectangle is

100 feet

Please help I don’t understand this

Answers

Answer: Two numbers have a sum of 1, 212 and a difference of 518. What are the two numbers? Let x represent one number and y represent the other number. The solution is (865,347).

Step-by-step explanation:

I need help please!! Please answer with an explanation steps by steps please

Answers

Answer:

send me a message I think I can help

have a nice day

Step-by-step explanation:

Ann found an orange caterpillar and a green caterpillar in her backyard. The green caterpillar was 3/4 of an inch long and the orange caterpillar was 2/3 of an inch long. How much longer was the green caterpillar than the orange caterpillar? *

Answers

Answer:

[tex]\huge\boxed{\sf \frac{1}{12} \ in.}[/tex]

Step-by-step explanation:

Length of green caterpillar = 3/4 in.

Length of orange caterpillar = 2/3 in.

To find how much longer was the green caterpillar than the orange one, we will subtract the length of orange caterpillar from the green one.

Solution:

[tex]\displaystyle = \frac{3}{4} - \frac{2}{3} \\\\LCM = 4 \times \ 3 = 12\\\\= \frac{(3 \times 3 ) - (2 \times 4)}{12} \\\\= \frac{9-8}{12} \\\\= \frac{1}{12} \ in.\\\\\rule[225]{225}{2}[/tex]

Which of the lines is a line of symmetry for the object ?

Answers

Answer: None of these lines

Step-by-step explanation: None of these lines, because there is no way to fold it, giving you a symmetrical object.

Please answer the question in the picture

Answers

Answer:

It is A because rational numbers and rational expressions are closed under multiplication.

Step-by-step explanation:

Hope this helps! Please mark brainliest :)

Jessica needs at least 60 units of vitamin A, 40 units of vitamin B, and 140 units of vitamin C each week. She can choose between Costless brand or Savemore brand vitamins. A Costless vitamin costs 5 cents and contains 3 units of vitamin A, 1 unit of vitamin B, and 2 units of vitamin C. A Savemore vitamin costs 7 cents and contains 1 unit of A, 1 of B, and 5 of C. Determine the minimum cost for Jessica to purchase all the vitamins she needs.

Answers

Answer:

$2.40

Step-by-step explanation:

Let x be the number of Costless vitamins and let y be the number of Savemore vitamins. Since we are trying to minimize cost, our objective function represents the cost of buying both Costless and Savemore vitamins. This function is defined by

C(x,y)=0.05x+0.07y

The first constraint is that Jessica needs 60 units of vitamin A and we know that Costless vitamins have 3 units of vitamin A and the Savemore vitamin has 1 unit of Vitamin A. This translates into the following inequality.

3x+y≥60

The second constraint is that Jessica needs at least 40 units of vitamin B and we know that Costless and Savemore vitamins each have 1 unit of vitamin B. This translates into the following inequality.

x+y≥40

The third constraint is that Jessica needs at least 140 units of vitamin C and we know that the Costless vitamin has 2 units of vitamin C and Savemore vitamins has 5 units of vitamin C. This translates into the following inequality.

2x+5y≥140

The fact that x and y must be positive numbers is represented by the following two constraints:

x≥0,y≥0

Using all of this information, our problem is as follows.

Minimize: C(x,y)=0.05x+0.07y

Subject to: 3x+y≥60

x+y≥40

2x+5y≥140

x≥0

y≥0

The corner points are:

(0,60),(70,0),(10,30),(20,20)

To minimize cost, we will substitute these points in the objective function to see which point gives us the lowest number. The results are listed in the table below.

The point (20,20) gives lowest cost: $2.40 .

Anna spent $326 on
a new TV. She pays
$19.56 tax. What is
the sales tax rate?

Answers

Answer: Her sales tax rate is  6%.

Step-by-step explanation: Your welcome Mark Me Brainliest.


~"Gamer"~

Explain how you could use estimation to get an appoximate answer for the expression below. (11.6+7.3) - (6.2 x 2.1)

Answers

Answer:

(11.6+7.3) - (6.2 × 2.1)

(18.9)-(13.02)

= 149.1

what is the probability that a randomly chosen number is less than or equal to 90 and is a multiple of 17

Answers

Answer:

let's see...

we have total possible outcomes.. = 90 ( from 1 to 90)

Desiree outcomes..= 5 ( 17,34,51,68,85)

and therefore.. the probability is 5/90 = 1/18.

here you go.. that should be correct I hope.

Find the surface area of rectangular prism

Answers

Edit: I misread the question

Answer:

392 inches sq.

Step-by-step explanation:

To find the surface area, find the area of all side first and then add them together at the end. Area = (length)(width)

The problem gives you the length, width, and height of the prism which is all you need to find the dimensions of each side.

The area of the side facing us would be (9)(14)=126 in. sq. There's two of these sides, one is just hidden. So we would do (126)(2)=252 in sq to get the total area of these two sides.

Moving on to the side on the side, we would do (3)(9)=27, then (27)(2)= 54 in sq.

The side on top would be (14)(3)=42 and then (42)(2)= 84 in sq.

Now, for the final surface area we would just add these all together! 252+54+84=392, so the surface area would be 392 in sq.

If you have any questions you can ask!

A square patio has a perimeter of (16x + 12) feet. What is the length of the patio?

Answers

Solution:

Note that:

Squares always have equal sides and angles.Perimeter of square patio: (16x + 12) ft.

Factorize the perimeter.

16x + 12=> 4(4x + 3) ft.

Find the length of the patio.

4(4x + 3)/4=> 4x + 3 ft.

The length of the square patio is 4x + 3 ft.

Which function has a vertex at (2, -9)?
O f(x) = -(x - 3)2
O f(x) = (x + 8)2
O f(x) = (x - 5)(x + 1)
f(x) = -(x - 1)(x - 5)

Answers

The function [tex]f(x)=\left(x-5\right)\left(x+1\right)[/tex] has a vertex at (2, -9).

Quadratic function

The quadratic function can be represented by a quadratic equation in the Standard form: [tex]ax^2+bx+c[/tex] where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero ([tex]a\neq 0[/tex]) and the degree of the function must be equal to 2.

For solving this question, you should find the vertex of quadratic equation (h,k). Where, [tex]h=-\frac{b}{2a}[/tex] . On the other hand, the value of the k-coordinate will be found when you replace the value of h in the equation of your question.

     1.  [tex]f(x)=-(x-3)^2[/tex]

        Write this equation in Standard form:

                          [tex]f(x)=-(x^2-6x+9)\\ \\ f(x)=-x^2+6x-9[/tex]

        Find h, using the formula  [tex]h=-\frac{b}{2a}[/tex]

             [tex]h=-\frac{b}{2a} =-\frac{6}{2*(-1)} =-\frac{6}{-2}=-(-3)=3[/tex]

        Find k, replacing x for the value of h

         [tex]-x^2+6x-9\\ \\ -(3)^2+6*3-9=-9+18-9=-18+18=0[/tex]

      The vertex of quadratic equation is (3,0). Incorrect Option.

     2.  [tex]f(x)=(x+8)^2[/tex]

        Write this equation in Standard form:

                          [tex]f(x)=x^2+16x+64[/tex]

        Find h, using the formula  [tex]h=-\frac{b}{2a}[/tex]

             [tex]h=-\frac{b}{2a} =-\frac{16}{2*1} =-\frac{16}{2}=-8[/tex]

        Find k, replacing x for the value of h

         

         [tex]x^2+16x+64\\ \\ (-8)^2+16*(-8)+64=64-128+64=128-128=0[/tex]

  The vertex of quadratic equation is (-8,0). Incorrect Option.

   3.  [tex]f(x)=\left(x-5\right)\left(x+1\right)[/tex]

        Write this equation in Standard form:

                          [tex]f(x)=(x^2+x-5x-5)\\ \\ f(x)=(x^2-4x-5)[/tex]

        Find h, using the formula  [tex]h=-\frac{b}{2a}[/tex]

             [tex]h=-\frac{b}{2a} =-\frac{-4}{2*1} =-\frac{-4}{2}=-(-2)=2[/tex]

        Find k, replacing x for the value of h

         [tex]x^2-4x-5\\ \\ 2^2-4*2-5=4-8-5=-4-5=-9[/tex]

   The vertex of quadratic equation is (2,-9). Correct Option.

   4.  [tex]f(x)=-\left(x-1\right)\left(x-5\right)[/tex]

        Write this equation in Standard form:

                          [tex]f(x)=-\left(x-1\right)\left(x-5\right)\\ \\ f(x)=-(x^2-5x-x+5)\\ \\ f(x)=-(x^2-6x+5)\\ \\ f(x)=-x^2+6x-5[/tex]

        Find h, using the formula  [tex]h=-\frac{b}{2a}[/tex]

             [tex]h=-\frac{b}{2a} =-\frac{6}{2*(-1)} =-\frac{6}{-2}=-(-3)=3[/tex]

        Find k, replacing x for the value of h

         [tex]-x^2+6x-5\\ \\ -(3)^2+6*3-5=-9+18-5=18-14=4[/tex]

The vertex of quadratic equation is (3,4). Incorrect Option.

Learn more about the vertex of the quadratic function here:

https://brainly.com/question/26203210

What is m<4 if m<5 = (2x) and m<4 = (x + 9)º?

Please

Answers

m∠4= 2x°

m∠5 = (x+9)°

case one: If both lie on the same plane then,

m∠4+ m∠5 = 180°

2x+x +9° = 180°

3x+9° = 180°

3x=171°

x= 171°/3

x= 57°

so,

m∠4 = 57° x 2° = 114°

m∠5= 57°+9° =66°

case two : If the angles are on opposite side of each other then,

m∠4=m∠5

2x= x+9°

2x-x=9°

x=9°

so,

m∠4m= 2x9 = 18°

∠5= 9+9= 18°

1.) m∠4 = 2x°

[tex]→m∠4+ m∠5 = 180°[/tex]

[tex]→2x+x +9° = 180°[/tex]

[tex]→3x+9° = 180°[/tex]

[tex]→3x=171°[/tex]

[tex]→x= \frac{171°}{3}[/tex]

[tex]→x= 57°[/tex]

So,

[tex]m∠4 = 57° × 2° = 114°[/tex]

[tex]m∠5= 57°+9° =66°[/tex]

2.) m∠5 = (x+9)°

[tex]→m∠4=m∠5[/tex]

[tex]→2x= x+9°[/tex]

[tex]→2x-x=9°[/tex]

[tex]→x=9°[/tex]

So,

[tex]m∠4m= 2×9 = 18°[/tex]

[tex]∠5= 9+9= 18°[/tex]

(5.0A.B.3)
1.
Use the table below to answer questions
1 and 2.
Term
Number
1
2
3
4
6
Sequence 1
4
8
12
16
24
... ...
Sequence 2
12
24 | 36 | 48
?
2.
What

Answers

Answer:

you look at the sequence in which the pattern is moving

Solve the inequality: −2x > −6

Answers

Answer:

[x < 3]

Step-by-step explanation:

-2x > -6

To solve inequalities, you need to get x alone.

Simply, divide both sides by -2,

-2x > -6

x > 3

When we divide a number by a negative during solving, we have to flip the inequality sign, therefore:

[x < 3]

Answer:

x<3

Step-by-step explanation:

Change signs on both sides of an inequality:

2x<6

x<3

What is true about the shape above ?

Answers

Answer: C

Step-by-step explanation:

It is C because the shape has two sets of parallel lines

If Hailey divides 150 ounces of sports drink with her volleyball team equally into 12 bottles, what is the weight of sport drink in one bottle?

Answers

Answer:

12.5 oz

Step-by-step explanation:

150 oz / 12 = 12.5 oz

Solve for x. 8x - 3 and 4x + 3 answer

Answers

After simplifying, your final answer is 3/2. Check the picture above for the work.

50 pencils cost €7 . how much would 5 pencils cost

Answers

Answer:

5 pencils will cost €0.7

Step-by-step explanation:

     We can set up a proportion to solve. We will have the cost on the top and the number of pencils on the bottom. I will have 50 pencils on the left, and 5 pencils on the right.

[tex]\frac{7}{50}=\frac{x}{5}[/tex]

     Now we will cross multiply.

7 * 5 = 50 * x

35 = 50x

     Divide both sides of the equation by 50.

0.7 = x

x = 0.7

     5 pencils will cost €0.7

Mr.arswan prepares a mixture for a science experiment. He measures 10.5 grams of wood shavings,150 grams of iron filings, and 18.50 grams of salt. What is the total mass of mr.arswan’s mixture

Answers

Answer:

A mixture is a combination of two or more kinds of matter (in our problem, wood, iron, and salt) which are physically mixed but not chemically combined. The sum of each of the matter that makes up the mixture is just the mass of the mixture

Mass wood sharing=10.5g

Mass iron filings=150g

Mass salt=18.5g

Step-by-step explanation:

HOPE IT HELPS

HELP ME I NEED TO GRAPH THIS ASAP

Answers

Answer:

f(x)=-3/2x+3

Step-by-step explanation:

y intercept is 3, slope is -3/2

f(x)=-3/2x+3

Take 2 points

(0,3)(2,0)

Slope:-

[tex]\\ \rm\Rrightarrow m=\dfrac{0-3}{2-0}=\dfrac{-3}{2}[/tex]

Equation of line in point slope form

[tex]\\ \rm\Rrightarrow y-3=-3/2x[/tex]

[tex]\\ \rm\Rrightarrow y=-3/2x+3[/tex]

Question 20. Describe the graph of the following equation.

Answers

Answer: I'm really sorry its not clear enough for me to answer

Step-by-step explanation:

parametric test based on standard error ​

Answers

Answer:

The parametric hypothesis tests that we introduced in Chapter 5 were all based upon the means of the sample and population.

Find the inverse of the rational function
F(x)= 2x/x+3, x≠-3

Answers

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

[tex]\stackrel{f(x)}{y}~~ = ~~\cfrac{2x}{x+3}\implies \stackrel{\textit{quick switcheroo}}{x~~ = ~~\cfrac{2y}{y+3}}\implies xy+3x=2y\implies xy-2y+3x=0 \\\\\\ xy-2y=-3x\implies \stackrel{\textit{common factoring}}{y(x-2)=-3x}\implies y=\cfrac{-3x}{x-2}\implies \stackrel{f^{-1}(x)}{y}=\cfrac{3x}{2-x}[/tex]

Help me pls and thanks

Answers

The answer is 3 1/3

Since 2/3x5 = 3.3333333333
It converts to 3 1/3
2/15 bcz 2/3 divided by 5 is 2/15



The band will play for 60 minutes. If the members want to play 5 songs of equal
length, how many seconds will each song have to be?

Answers

Answer:

12 minutes per each song.

Step-by-step explanation:

If they want to play 5 songs in a duration of 60 minutes, we would have to divide the total amount of minutes by how many songs they have to play.

Total Duration / Total Songs = Duration Per Song

60 / 5 = 12

Answer: Each song lasts 720 seconds, or 12 minutes each song.

Step-by-step explanation:

60 times 60 = 3600 sec.

3600 sec. divided by 5 equals 720

Each song lasts 720 seconds, or 12 minutes each song.

PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST​

Answers

Answer:

a

Step-by-step explanation:

(19.5-17)/ 19.5 = .12820

.12820*100= 12.82%

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