The lines graphed below show the amounts of water in two tanks as they were being filled over time.For each tank, explain whether or not there is a proportional relationship between the amount of water, in gallons, and the time, in minutes. If there is a proportional relationship, identify the unit rate. Use specific features of the graph to support your answer.
3 points

Step-by-step explanation:

Let x represent the number.

We have 8x - 6 = 7.

Therefore 8x = 13 and x = 1.625.

Answer:

The stack of blocks is 25.96 inches tall

Step-by-step explanation:

The Volume of a Cube

Given a cube-shaped figure of side length L, the volume is calculated by:

[tex]V=L^3[/tex]

If the volume is known, then the side length can be found by solving for L:

[tex]L=\sqrt[3]{L}[/tex]

We are given three cube-shaped blocks with known volumes. We'll find the individual side lengths and add them up to find the height that results when they stack up vertically.

Block 1, volume 375 cube inches:

[tex]L_1=\sqrt[3]{375}=7.21\ inch[/tex]

Block 2, volume 648 cube inches:

[tex]L_2=\sqrt[3]{648}=8.65\ inch[/tex]

Block 3, volume 1029 cube inches:

[tex]L_3=\sqrt[3]{1029}=10.10\ inch[/tex]

Total height=7.21 inch+8.65 inch+10.10 inch=25.96 inch

The stack of blocks is 25.96 inches tall

Answer:

what I think this question has mistake

Answer:

C

Step-by-step explanation:

Answer:

18 minutes

Step-by-step explanation:

1. 45 minutes is the TOTAL amount she reads so it can be expressed as x/45

*x=a part

2. set up a proportion

x/45 = 2/5

3. now solve by either cross multiplication or finding a scale factor. I am finding a scale factor because that is easiest.

45/5=9

so 5 * 9 = 45

so 2 * 9 = 18

the asnwer is 18. I hope this helps

Answer:

5 cm

Step-by-step explanation:

Let the shorter side be a, longer side be b, hypotenuse be c

By Pythagorean theorem:

a² + b² = c²

a² + (a + 7)² = (a + 8)²

a² + a² + 14a + 49 = a² + 16a + 64

a² - 2a - 15 = 0

a² + 3a - 5a - 15 = 0

a(a + 3) - 5(a + 3) = 0

(a + 3)(a - 5) = 0

a = -3 or a = 5

Because a is a side length and is a positive number

a = 5

Answer:

2√3/3

Step-by-step explanation:

Sec(330°)

=1/cos(330°)

=1/√3/2 (since Cos (330°)=√3/2

=1×2/√3

=2/√3×√3/√3

=2√3/3

Answer:

[tex]\implies \sec 330^o = \dfrac{2}{\sqrt3}=\dfrac{2\sqrt{3}}{3}[/tex]

Step-by-step explanation:

Given :-

And we need to find out its value . Firstly we know that 330° lies in 4th quadrant . And In fourth quadrant , cosine and secant are positive . Therefore , the result will be positive. Now we know that ,

[tex]\implies \sec (360^o-\theta)= \sec\theta [/tex]

Using this ,

[tex]\implies \sec (330^o) \\\\\rm\implies sec(360^o-30^o) \\\\\rm\implies \sec 30^o [/tex]

And the value of sec 30° is ,

[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}[/tex]

And by question we need to write it with a rational denominator .So on rationalising the denominator , we have ,

[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}=\boxed{\red{\dfrac{2\sqrt3}{3}}}[/tex]

Hence the required answer is 2√3/3.

Answer:

f(x) = 2

Step-by-step explanation:

f(x) represents a linear function since it had the same first differences while the "x" values are evenly space out (which we know could happen only if the function is linear). Now that we determined that the function is linear we have to write the function as an expression.

We know that any linear function has a form of f(x) = mx + b, where "m" is the slope and "b" is the y intercept (y value when x is equal to 0).

As I already mentioned the b will be equal tp the "y" intersect which is equal to the "y" value when x is equal to zero. Luckily in our table they did tell us what will be the "y" value when x is equal to zero, and it is 2. So now we know b = 2.

Then we have have to find the slope which can be found by using the following formula.....

[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Now we have to choose two different points from table and let the one that has bigger x value be represented as  [tex](x_{2} , y_{2} )[/tex] and the other one will be represented as [tex](x_{1}, y_{1} )[/tex]. In our case I choose the points (2,2) and (1,2). Now if we represent them as what I mentioned earlier we can substitute their values into the equation that we ca use to find the slope. You should obtain the following.....

[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{2 -2}{2-1} = \frac{0}{1} = 0[/tex]

Now that we know both the "m" and "b" values we can substitute them into the equation, and we will get he following....

f(x) = mx + b

f(x) = 0x + 2

f(x) = 2

Answer:

1164 are the total number of miles he rode in 6 months.

Step-by-step explanation:

It means:

Thus,

Thus, the number of miles he rode in 6 months would be = 194×6 = 1164 miles

Therefore, 1164 are the total number of miles he rode in 6 months.

Answer:

I think u kept option incorrect but the correct answer is 1/4

Answer:

never ever not in a million years

Step-by-step explanation:

Answer:

B)1.1

Step-by-step explanation:

I'm 100% sure

Answer:

ans b.1.1

Step-by-step explanation:

hey just follow an thank me thats it

Step-by-step explanation:

the perimeter of rectangle is 24 cm and the sides are in the ratio find the length of the sides

Answer:

Step-by-step explanation:

2/5=40/100 40 out of 100 is 40%

Answer:

4

Step-by-step explanation:

100 divided by 25=4

Answer:

-4 as the answer but as an integer maybe 0-4?

Step-by-step explanation:

Answer:

304-4=300

300/30=10

298-4=294

294/3=98

Answer:

The slope is 3

The y-intercept is -2

The linear equation is y = 3x - 2

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

∵ A line passes through points (2, 4) and (6, 16)

∴ x1 = 2 and y1 = 4

∴ x2 = 6 and y2 = 16

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{16-4}{6-2}[/tex] = [tex]\frac{12}{4}[/tex] = 3

∴ m = 3

→ Substitute it in the form of the equation above

∴ y = 3x + b

→ To find b substitute x and y in the equation by the coordinates of

   a point on the line

∵ Point (2, 4) is on the line

∴ x = 2 and y = 4

∵ 4 = 3(2) + b

∴ 4 = 6 + b

→ Subtract 6 from both sides to find b

∵ 4 - 6 = 6 - 6 + b

∴ -2 = b

→ Substitute its value on the equation above

∵ y = 3x + (-2)

∴ y = 3x - 2

→ Let us answer the questions

The slope is 3

The y-intercept is -2

The linear equation is y = 3x - 2

Answer:

14,500

Step-by-step explanation: Just took the test.

Answer:

a) The class interval containing the median is the interval 2 ≤ h <  3

b) The mean number of hours the children spent on their tablets is 2.2 hours.

Step-by-step explanation:

a) The given parameters are;

The number of students that spent 0 ≤ h < 1 hour = 4

The number of students that spent 1 ≤ h < 2 hours = 8

The number of students that spent 2 ≤ h < 3 hours = 11

The number of students that spent 3 ≤ h < 4 hours = 7

The median is given by the location of the 15th child which is located in the interval given as follows;

We note that the total number of children is obtained by adding the  frequencies of the intervals together, as follows;

The number of children = 4 + 8 + 11 + 7 = 30

The frequency of the first interval = 4

The sum of the first + Second intervals = 4 + 8 = 12

The sum of the first + Second + Third intervals = 4 + 8 + 11 = 23

Therefore, the class interval containing the median is the interval 2 ≤ h <  3

b) We use the midpoint of each class interval to find the mean as follows;

The mean = ∑fh/∑h

∴ The mean = (4 × 0.5 + 8 × 1.5 + 11 × 2.5 + 7 × 3.5)/(4 + 8 + 11 + 7) = 2.2

The mean number of hours the children spent on their tablets = 2.2 hours.

Answer: 45.65 is incorrect.

Step-by-step explanation: it’s a place value problem; right of the decimal is ones, tens, hundredths, thousandths which is 4 place values so 45.065 shows the correct placement

Answer:

x-coordinate

Step-by-step explanation:

Answer:

the answer is x coordinate

Answer:

the answer is 50

Step-by-step explanation:

the answer is 50 because lets say the the amount for a plain pizza is $12 that will be your inital value. 50 is your rate of change cause they price is add onto by 50 cents per topping.

Answer:

D. y = 2x + 3​

Step-by-step explanation:

Use the table to answer the question.

x:-2  -1   0   1    2

y: -1   1   3   5   7

Which equation represents the relationship between x and y shown in the table.

Solution:

The table shows a linear relationship between x and y.

A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.

The table (x, y) has the points (-2, -1) and (0, 3). The equation is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-1)= \frac{3-(-1)}{0-(-2)} (x-(-2))\\\\y+1=2(x+2)\\\\y+1=2x+4\\\\y=2x+3[/tex]

Answer:.

Step-by-step explanation:.