Graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to x xx is 0.4. point, 4, point In other words, a change of 1 unit in x corresponds to a change of 0.4, point, 4 units in y.

Answer:

Step-by-step explanation:

[tex]\text{Domain:}\ x>0\\\\\log_83+\dfrac{1}{2}\log_825=\log_8x\qquad\text{use}\ n\log_ab=\log_ab^n\\\\\log_83+\log_825^\frac{1}{2}=\log_8x\qquad\text{use}\ a^\frac{1}{2}=\sqrt{a}\\\\\log_83+\log_8\sqrt{25}=\log_8x\\\\\log_83+\log_85=\log_8x\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log_8(3\cdot5)=\log_8x\\\\\log_815=\log_8x\iff15=x\to x=15\in D[/tex]

Answer:

Your answer would be x = 15

I hope his helped and have a wonderful day!

~Real

Answer:

fraction > -18/5

dec> -3.6

Step-by-step explanation:

Answer:

She is not correct.

Step-by-step explanation:

If she originally purchases the teas for $100 and then she marks the price up 20%, the retail price would then be 100 + 0.20(100) = 100 + 20 = 120. The sales price would then be 120 - 0.2(120) = 120 - 24 = 96. This is less than the purchase price, so she is losing money, rather than gaining.

I hope this helps. If you download an app called Slader, it has the same math book you are using with the answers.

Answer:

C. 560

Step-by-step explanation:

50% is one half, so there is another half of 280. 280*2=560

Answer:

C

Step-by-step explanation:

Answer:

x=14

y=10

Step-by-step explanation:

The median divide the data‘s set into two parts with the same frequency = 50%

then we must have 2+5+x+12+17 = 50 ⇔ 36+x=50 then x =50-36=14

also 20+y+9+7+4=50 ⇔ y=10

Answer:

50-6=14

Step-by-step explanation:

just do the math and then you will find the answer

Answer:

600

Step-by-step explanation:

you round up 19 to 20 then you round up 28 to 30 and multiply 20 and 30

Answer:

20*30

= 600

About 600

C

Answer:

Step-by-step explanation:

multiples of 4

12/3 = 4

16/4 = 4

4/1 = 4

24/6 = 4

36/9 = 4

The integer 4 can be represented as a fraction by placing it over 1. Therefore, the fraction that represents the integer 4 is 4/1 and it is already in its simplest form.

The integer 4 can be represented as a fraction simply by placing it over 1. Hence, the fraction equivalent of the integer 4 is 4/1. However, it's noteworthy to mention that a fraction can be simplified when the numerator and the denominator have a common factor, other than 1. In this case, there are no other common factors between 4 and 1, so it is already in its simplest form.

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The 3 angles when added together make a straight line which is 180 degrees. To find x subtract the 2 known angles from 180.

The answer would be x = 180 - (67 + 52)

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

List your factors first to find the answer

36: 1-36, 2-18, 3-12, 4-9, 6-6

90: 1-90, 2-45, 3-30, 5-18, 6-15, 9-10

Now find in the factors which would be the greatest/largest. The largest factor shared between 36 and 90 is 18.

Answer:

59,778

Step-by-step explanation:

The product of 729 and 82 is calculated through standard multiplication, resulting in a final product of 59,778.

The student is asking to calculate the product of two numbers, 729 and 82. To find the product, we can use basic multiplication skills. Here is the step-by-step calculation:

First, set up the multiplication:

Next, multiply 2 by each digit of 729 and write the result below the line.

Then, multiply 8 by each digit of 729, remember to shift one place to the left.

Now, add both results to get the final

product

.

The final product of 729 multiplied by 82 is 59,778.

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ciro needs 3 cups of flour johanna needs 20 x 15 cups

So, I think I had this for my Imagine math, so I'll help you :D

Ciro (How many cups in 1 batch):; 15 / 5 = 15 divided by 5

Johanna (How many cups for 20 batches):; 15 x 4 = 15 multiplied by 4

I hope this helps :)

Answer:

-212.5

Step-by-step explanation:

-212.5 x 0.4 = -85

Final answer:

The student's question regarding dividing -85 by 0.4 results in -212.5. You divide the absolute values first and then apply the negative sign because dividing a negative by a positive yields a negative result.

Explanation:

The student is asking how to divide a negative number by a positive decimal number. Specifically, the question is about dividing -85 by 0.4. To perform this division, we'll divide the absolute values and then apply the negative sign to the result. The steps are as follows:

The division of a negative number by a positive number results in a negative outcome. Hence, -85 divided by 0.4 equals -212.5.

Answer:

5(x+4)=6

5 times a number and (+) 4 is equal to 6.

In this question, you're trying to transform the equation into slope intercept form.

Slope intercept form equation:

y = mx + b

In this case, you would need to get the "y" variable by itself.

To do so, you would subtract -2x from both sides:

2x + y = 2

y = -2x + 2

Answer:

y = -2x + 2

The equation of the line 2x + y = 2 in slope-intercept form is y = -2x + 2.

The equation of a line is expressed as;

y = mx + b

Given the equation of the line in the question:

2x + y = 2

To convert the equation 2x + y = 2 into slope-intercept form (y = mx + b), where "m" represents the slope and "b" is the y-intercept, follow these steps:

First, Isolate "y" on one side of the equation by moving the term with "x" to the other side.

2x + y = 2

Subtract 2x from both sides:

2x - 2x + y = 2 - 2x

y = 2 - 2x

Rearrange:

y = -2x + 2

Therefore, the slope-intercept form is y = -2x + 2.

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Answer:

- 11 m elevation.

Step-by-step explanation:

The driver starts at an elevation of 5 m and he drives to get a change in elevation by - 16 m.

There is no doubt that the driver drives down to the negative elevation.

So, the driver first reaches the zero elevation then drives towards negative elevation.

Now, the final elevation of the driver will be at (5 - 16) m = - 11 m. (Answer)

Answer:

4n(7+3-6)

Step-by-step explanation:

 28n              12n .               24n  

14 .   2 .        6 .  2              12 .   2

7 . 2 . 2 n .   3 . 2 . 2  n .     6 . 2

7                     3                     3 . 2 . 2 . 2  n

                                                  3x2=6

2x2xn=4n

GCF=4n

Answer:

16n

Step-by-step explanation:

Answer:

[tex]A=189\ mm^2[/tex]

Step-by-step explanation:

Surface Areas

Is the sum of all the lateral areas of a given solid. We need to compute the total surface area of the given prism. It has 5 sides, two of them are equal (top and bottom areas) and the rest are rectangles.

Computing the top and bottom areas. They form a right triangle whose legs are 4.5 mm and 6 mm. The area of both triangles is

[tex]\displaystyle A_t=2*\frac{b.h}{2}=b.h=(4.5)(6)=27 mm^2[/tex]

The front area is a rectangle of dimensions 7.7 mm and 9 mm, thus

[tex]A_f=b.h=(7.5)(9)=67.5 \ mm^2[/tex]

The back left area is another rectangle of 4.5 mm by 9 mm

[tex]A_l=b.h=(4.5)(9)=40.5 \ mm^2[/tex]

Finally, the back right area is a rectangle of 6 mm by 9 mm

[tex]A_r=b.h=(6)(9)=54 \ mm^2[/tex]

Thus, the total surface area of the prism is

[tex]A=A_t+A_f+A_l+A_r=27+67.5+40.5+54=189\ mm^2[/tex]

[tex]\boxed{A=189\ mm^2}[/tex]

Step-by-step explanation:

9.

Given that, the measure of [tex]\angle A[/tex] is [tex]45^\circ[/tex]. The measure of [tex]\angle B[/tex]is [tex]b^\circ[/tex]. The measure of[tex]\angle C[/tex] is [tex]3b^\circ[/tex] .

We know that the sum of all angles of triangle is [tex]180^\circ[/tex].

Therefore

[tex]45^\circ + b^\circ +3b^\circ =180^\circ[/tex]

⇔[tex]4b^\circ[/tex] = [tex]135^\circ[/tex]

10.

Given that , the measure of [tex]\angle X[/tex] and [tex]\angle Y[/tex]are same [tex]x^\circ[/tex]. The angle of [tex]\angle Z[/tex] is twice the measure of [tex]\angle Y[/tex].

∴[tex]\angle X[/tex]+[tex]\angle Y[/tex]+[tex]\angle Z[/tex]=[tex]180^\circ[/tex]

⇔[tex]x^\circ[/tex]+[tex]x^\circ[/tex]+2[tex]x^\circ[/tex]=[tex]180^\circ[/tex]

⇔4[tex]x^\circ[/tex]= [tex]180^\circ[/tex]

Answer:

Step-by-step explanation:

y=5x=10

Answer:

c

Step-by-step explanation:

there are two answers there divisible by three

(12 and 6) so the probability of it landing on one of them is 2/8 as there are 8 numbers altogether. 2/8 is equal to 1/4 so that's the answer

Final answer:

To find the two numbers whose sum is 38 and difference is 16, we set up and solve a system of equations, which reveals the numbers to be 27 and 11.

Explanation:

The question involves finding two numbers when their sum and difference are known. To solve it, we can set up a system of equations based on the information provided. Suppose the two numbers we are trying to find are X and Y. According to the question, the sum of the two numbers is 38, and their difference is 16. Therefore, we can write the following equations:

Equation 1: X + Y = 38

Equation 2: X - Y = 16

To find the values of X and Y, we can add these two equations to eliminate Y. This gives us 2X = 54, which simplifies to X = 27. Substituting the value of X back into Equation 1, we find that Y = 11. Thus, the two numbers are 27 and 11.

Answer: $1.50

Step-by-step explanation: To find 5% of $30, first write 5% as a decimal by moving the decimal point 2 places to the left to get .05. Next, "of $30" means times 30 so we multiply .05 times 30 which gives us 1.5.

Finally, remember that we want to write our answer in terms of dollars so 1.5 dollars is the same thing as $1.50.

So 5% of $30 is $1.50.

Answer:

Explanation:

The vertices of the figure 1 are:

The vertices of figure 2 are:

By simple inspection, you can tell that if you rotate the figure 1 90º clockwise and then reflect the image across the x-axys you obtain the figure 2.

You can prove that analitically.

1. Rotation 90º clockwise

A 90º clockwise reotation is the same that a 270º counterclockwise rotation and the mathematical rule for this is:

Applying that rule to the vertices of figure 1, you obtain:

2. Reflection across the x-axis.

A reflection across the x-axis keeps the same x-coordinate and changes the sign of the y-coordinate. The rule is:

Applying that rule to the previous points yields to:

Which are the coordinates of the figure 2. Thus, you have proved that the sequence of transformations 90° clockwise rotation around the origin, then a reflection across the x-axis (first choice) maps the figure 1 to figure 2.

Answer:

First choice: 90° clockwise rotation around the origin, then a reflection across the x-axis.

Step-by-step explanation:

Answer: Answer is 40%

Step-by-step explanation: The total number of players in the game is 30 (that is boys and girls added together becomes 18 + 12= 30) altogether which is a hundred percent. The percentage of girls playing the game is calculated as;

12/30 × 100%

=2/5 × 100%

=200/5

=40%

Answer:

See image attached.

Step-by-step explanation:

Final answer:

The initial setup for the equation based on the coin values and the total amount led to an incorrect result with a negative number of nickels. This suggests there was an error in the calculations or assumptions, and the equation should be revisited and the numbers checked to find the correct number of each type of coin.

Explanation:

Let's call the number of nickels Sarah has n. According to the problem, Sarah has 10 more dimes than nickels, which means she has n+10 dimes. It is also given that she has twice as many quarters as dimes, making it 2(n+10) quarters. In terms of their values, nickels are worth 5 cents, dimes are worth 10 cents, and quarters are worth 25 cents. The total value of Sarah’s coins is $9.25, which is equivalent to 925 cents.

To find the number of each coin, we can set up the following equation:

5n + 10(n+10) + 25(2(n+10)) = 925

Simplifying the equation:

5n + 10n + 100 + 50n + 1000 = 925

65n + 1100 = 925

65n = 925 – 1100

65n = -175

n = -175 / 65

n = -2.6923

This result is not possible since we cannot have a negative number of coins. It seems there was an error in the calculations or assumptions. It is important to check the equation and numbers we're using to ensure they properly represent the coin values and the total amount.

Answer:

Step-by-step explanation:

Tom and Dipak share $114 in the ratio 7:5

Total amount shared = $114

Ratio of Tom to Dipak = 7:5

Total ratio = 7+5 = 12

Dipak got = 5/12 × $114 = $ 47.5

Answer:A

Step-by-step explanation:

Answer:

Therefore [tex]m_{2}[/tex] = -3.

Step-by-step explanation:

i) let us say the slope of the line passing through (-2,7) and (4,9) is [tex]m_{1}[/tex].

ii) to find the slope of the line passing through two points ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) and ([tex]x_{2}[/tex],[tex]y_{2}[/tex]) we use the formula m = [tex]\dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]. Therefore we can say that  [tex]m_{1}[/tex] = [tex]\dfrac{9 - 7}{4 - (-2)}[/tex] = [tex]\dfrac{1}{3}[/tex].

iii) let us say the slope of the perpendicular line to the line  passing through (-2,7) and (4,9) is [tex]m_{2}[/tex]

iv) from the formula for the slopes of a line and the line perpendicular to it which is given by [tex]m_{1}[/tex] × [tex]m_{2}[/tex] = -1, therefore [tex]m_{2}[/tex] = -1 ÷  [tex]m_{1}[/tex] = -3. Therefore [tex]m_{2}[/tex] = -3

Answer:

the first one would be m<EOF+m<FOB=180°,

and the second one would be 76ft

Step-by-step explanation:

supplementary angle means the angle that would make it equal 180°. if m<EOF is an acute angle then the angle that is supplementary to EOF would be obtuse, so FOB.

then for the second question, the midpoint splits the angle in HALF, so that means in order to find RT you multiply 38×2.

Final answer:

To find the length of the altitude of an equilateral triangle with a perimeter of 36 inches, divide the perimeter by 3 to get the side length, then calculate the altitude using the formula for a 30-60-90 right triangle, resulting in an altitude length of 6\(\sqrt{3}\) inches.

Explanation:

To solve for the length of the altitude of an equilateral triangle with a perimeter of 36 inches, we first need to determine the length of one side of the triangle. Since an equilateral triangle has all sides of equal length, we divide the perimeter by 3 to find the length of one side:

Side length = Perimeter ÷ 3 = 36 inches ÷ 3 = 12 inches

Now, let's draw the equilateral triangle and an altitude. An altitude in an equilateral triangle splits the triangle into two 30-60-90 right triangles. In such a right triangle, the length of the altitude (which is the same as the longer leg) is \(\sqrt{3}/2\) times the length of the shorter leg (which is the side of the original equilateral triangle).

Hence, the altitude (h) can be calculated as:

Altitude (h) = Side length × (\(\sqrt{3}/2\)) = 12 inches × (\(\sqrt{3}/2\)) = 6\(\sqrt{3}\) inches

Therefore, the length of the altitude is 6\(\sqrt{3}\) inches.