y=2/3x constant of proportionality

Answer:

x=3, z=-1, y=6

Step-by-step explanation:

you need to make the coefficients of each variable equal to each other then subtract 2 equations.

this one: multiply -4 in 1st

4x+4y+4z=32

-4x+4y+5z=7

_____________

8x+0-z=25

we have 2 equations with 2 variables now

2x+2z=4

8x-z=25

Answer:

The inequality is false and equals -14=3

Step-by-step explanation:

You want to start by cancelling equal terms on both sides of the equation which means getting rid of both 8's. You are left with (-7)-(7)=7+(-4).

From here you want to solve both sides meaning adding -7-7 because both terms are negative they will combine, and the other side which is -7+4. They are opposite terms so you will subtract. This leaves you with -14=3 which is false.

Answer: y = 3x + 3

Step-by-step explanation:

We know the linear function as following:

y = mx + b

m is the slope of the equation. b represents the y-intercept.

To find m, we divide the rate of change of y by the rate of change of x. We know that the rate of change y is +3 because we add three each time in order to find the next value. The rate of change of x is +1 because we add one each time to find the next value. So m would be:

m = 3/1

m = 3

Our linear equation is now as following:

y = 3x + b

In order to find b, we should first substitute a coordinate in the equation above.

y = 3x + b

6 = 3(1) + b

Then, we multiply 3 with 1

6 = 3 + b

Finally, we substract 3 on both sides. Now we've got our b value.

b = 3

Now our equation should look like this.

y = 3x + 3

To verify if the equation, we should substitute another coordinate, and verify if each side of the equation is equal.

y = 3x + 3

15 = 3(4) + 3

15 = 12 + 3

15 = 15

So we now know that the equation is indeed correct.

Answer:

Step-by-step explanation:

As per given table we have ordered pairs:

Find the slope and y- intercept to work out the equation.

The slope:

The y -intercept:

The equation is:

The graph is attached

Answer:

C

Step-by-step explanation:

first take off the 148 of the 604 page book then divide the rest by 19 ,

it should be 24 hours - 1-day  .

it is c because it shows my explination because 19x + 148 is equal to 604 first take the 148 and 19 and x means multiplication so 19 times 24 = 456.

The time spent for each activity can be found writing an equation based on

the known parameters.

Reasons:

The running speed = 9 mph

The biking speed = 16 mph

Swimming speed = 2.5 mph

The time spent running = 0.5 hour + Time spent swimming

Biking time = 2 × Running time

The total distance covered = 64 miles

Required:

Time spent running, swimming, and biking

Solution:

Let t represent the time Stanley spent swimming, we have;

(t + 0.5)·9 + 2.5·t + 2×(t + 0.5)×16 = 64

43.5·t + 20.5 = 64

43.5·t  = 64 - 20.5 = 43.5

[tex]t = \dfrac{43.5}{43.5} = 1[/tex]

The time Stanley spent running = 0.5 + t

Therefore;

The time spent running = 0.5 hour + 1 hour = 1.5 hour

Time spent biking = 2 × Running time

Therefore;

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Answer:

Vendor I sells more by 0.05

Step-by-step explanation:

First, you do Vendor I, divide 38.70/5, which gives you $7.74.

Then, you go to Vendor 2, divide 30.76/4 and that makes the answer $7.69.

7.74 - 7.69 = 0.05

Vendor 1 has more then Vendor 2 by 5 cents.

Answer:

11,765

Step-by-step explanation: 1 word make up 0,024 minute so 500 words 500.0,024 = 11,765 minutes

Answer:

1.86822

Step-by-step explanation:

take the 200 miles and devide the traveling speed

Answer: x = 10

Step-by-step explanation:

The formula to find the volume of a cube is as following:

V = x³

Since we already know the volume, let's substitute it in the formula.

1000 = x³

To find x, we should do the cube root on each side.

∛1000 = ∛x³

x = 10

Answer:

11.28 Divided by 4.7 equals 2.4.

Step-by-step explanation:

It's just simple division. Glad I could help though!

Answer:

2.4

Step-by-step explanation:

Answer:

408, 250, and 4055 hope this helps

Answer:

So, "Compare the following rational numbers," its asking which of them is greater, or if there equal to each other.

So for 3.25 and 3 1/2

3 1/2 is greater

3.25 < 3 1/2 (so it should look like this when the symbol on that side)

and for -4.5 and -4.05

-4.05 is greater.

-4.5 < -4.05  (so the symbol is also on that side.)

Answer:

This polynomial is either a function like f(x), or it's just =0 and it's solved by a quadratic equation.

Step-by-step explanation:

Let's say it's equal to 0, we can easily divide the whole expression with 3, as obviously 3,24,48 have the same divisor(3), then we are left with:

x²-8x+16=0, then we apply the quadratic equation, and we got only 1 solution and that's x=4

If it is a function f(x), than it will have roots(root of a quadratic function is the x-coordinate where y=0, basically when the parabola intersects the x-axis(y=0), as we'll get that the only root is x=4

Answer:

The majority of your minimum payment is going toward interest and finance charges and only a small amount toward the principal.

Step-by-step explanation:

Answer:

81972

Step-by-step explanation:

Help this help

Answer:

(-1,0) (0,-2) (1,0)

Step-by-step explanation:

the function crosses the axis in this 3 points

Answer: 1 cup

Step-by-step explanation: they have a 1:1 ratio

Answer:

1

Step-by-step explanation:

If you have 1 cup of chocolate chips for every 1 cup of sugar, that is a 1:1 ratio

A whole cup of sugar is equal to 1 cup of sugar

Therefore, you will have 1 cup of choloate chips for the whole cup of sugar

Answer:

2.0 estimated product

1.89 Actual product

Step-by-step explanation:

2.0*1.0=2.0

2.1*1.0=1.89

The product of 2.1 x 0.9 = 1.89

A product is something that has been multiplied one or more times. For instance, the mathematical formula "times equals" would be written with the terms "times," "multiplicand," and "product," respectively.

Given:

2.1 x 0.9

Now, Multiplying

                          2  .  1

                       x 0  .  9

                      _________

                           1  8  9

                           0  0  x

                      __________

                          1  .  8  9

Hence, the product of 2.1 x 0.9 = 1.89

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D

Step-by-step explanation:

you subtract 15 and 11 = 4 then subtract 9-1 is 8 and then you find the common denominator

Answer:

4% of 50 is 2

Step-by-step explanation:

Answer:

try searching it up

Step-by-step explanation:

Step-by-step explanation:

Based on the given conditions,

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}

[tex] formulate: 1.6\% \times 40000 \times 12 \div 12Reduce the fraction: \dfrac{2 \times 40000}{125}[/tex]

[tex]Reduce the fraction: 2 \times320

[tex]Reduce the fraction: 2 \times320Calculate the product orquotient: 640[tex]

Answer 640

Answer:

[tex]\sf\longmapsto \: 640[/tex]

Step-by-step explanation:

Based on given cases:

[tex] \sf \: Formulate: 1.6\% \times 40000 \times 12 \div 12[/tex]

Reduce the fraction:

[tex] \sf \longmapsto \: \dfrac{2 \times 40000}{125}[/tex]

[tex] \sf \longmapsto \: 320 \times 2[/tex]

Calculate the product/quotient:

[tex] \sf\longmapsto \: 640[/tex]

Answer:

Answer’s 43

Step-by-step explanation:

6+3=9

7(9)-4x5

63-4x5

63-20

Answer: 43

Answer:

17.156

Step-by-step explanation:

A rational number has has a terminating decimal expansion or a decimal expansion of non-terminating repeating digits. Here, the decimal expansion is terminating, so it is a rational number.

Answer:

C. 17.156

Step-by-step explanation:

A rational number is any number that can be expressed as a fraction. So for example, since [tex]\sqrt{2}[/tex] cant be expressed as a fraction, it isn't rational. A number like 1.25 on the other hand IS rational as it can be expressed as [tex]\frac{5}{4}[/tex] or [tex]\frac{125}{100}[/tex].

Option C can be expressed as [tex]\frac{17156}{1000}[/tex], so it must be rational.

- Note that if a number has a finite amount of digits after the decimal (ie it doesn't go on forever like option B), it can be represented as a fraction and thus is rational.

Answer:

165km

Step-by-step explanation:

if 1cm on the map = 15km,

then since 11cm is 11x 1, we multiply the kilometers by 11, getting 165km.

Answer:

i need 9it

Step-by-step explanation:

ndbwsjl

Step-by-step explanation:

she missed 45%, so that means she made 55% of her free throws.

and these 55% correlate to the absolute number of 176 successful throws.

so,

55% = 176

1% = 55%/55 = 176/55

100% = 1%×100 = 176×100/55 = 320

so, she attempted 320 free throws in total.