Whitney's Ice Creamery sold 67 sundaes last week. There were nuts on 41 of the sundaes. What is the ratio of the number of sundaes without nuts to the total number of sundaes?

Answer:

Solving the expression  [tex]\frac{\sqrt[3]{7} }{\sqrt[5]{7} }[/tex] we get [tex]\mathbf{7^{\frac{2}{15}}}[/tex]

Option D is correct option.

Step-by-step explanation:

We need to solve the expression: [tex]\frac{\sqrt[3]{7} }{\sqrt[5]{7} }[/tex]

We know that

[tex]\sqrt[3]{x}=x^{\frac{1}{3}[/tex] and [tex]\sqrt[5]{x}=x^{\frac{1}{5}[/tex]

Using above rule:

[tex]\frac{\sqrt[3]{7} }{\sqrt[5]{7} }\\=\frac{7^{\frac{1}{3}}}{7^{\frac{1}{5}}}[/tex]

Now, we know the exponent rule if bases are same and divided then exponents are subtracted i.e:  [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

Using the exponent rule

[tex]=7^{\frac{1}{3}-\frac{1}{5} }\\Simplifying\:exponents\\=7^{\frac{5-3}{15}}\\=7^{\frac{1*5-1*3}{15}}\\=7^{\frac{2}{15}}[/tex]

So, solving the expression  [tex]\frac{\sqrt[3]{7} }{\sqrt[5]{7} }[/tex] we get [tex]\mathbf{7^{\frac{2}{15}}}[/tex]

Option D is correct option.

Answer:

I think that removing (1, 3) would make the most sense

Answer:

(1,3)

Step-by-step explanation:

Because (1,-2) and (1,3) have the same x value, they do not pass verticle line test, so it is not a function.

Answer:

D.)

Step-by-step explanation:

The graph is decreasing from left to right therefore as the x values increases the y values are decreasing. You can also say that the graph has a negative slope.

List the multiples of each number:

16:  1, 2 , 4, 8 , 16

40: 1, 2 , 4 , 5, 8, 10, 20, 40

The greatest common multiple is 8

40 guards / 8 = 5

There will be 5 guards on each team.

Step-by-step explanation:

I'm going to explain this in standard slope intercept form (y=mx+b) because it is easiest for this situation. I will also include converting it to point slope form. I will also show how to do straight into point slope form if you find that more helpful.

First thing is to identify difference in x and y in both points. From point 1 to point to, the x changes -4 and the y changes +4. We can rapresent this in rise over run fraction

[tex] \frac{4}{ - 4} = - 1[/tex]

So the slope is -1 because the slope is the simplified rise over run fraction.

Our next step is to find the y-intercept. This is easy because the first point is the y-intercept, so -3 is our y-intercept.

Now we know the equation.

[tex]y = - x - 3[/tex]

All we have to do now is convert it into point-slope form. So here is point slope form: y + y1 = m(x + x1). Y1 is the y-intercept and m is the slope.

[tex]y - 3 = - 1(x + x1)[/tex]

So x1 is the x intercept, so to find this you find the x value when y is 0. You can do this by using the standard form I've done because it is easiest.

[tex]0 = - x - 3 \\ x = - 3[/tex]

So when y is 0, then x is -3. Here is the complete point slope form of the line.

[tex]y - 3 = - 1(x - 3)[/tex]

-----------------------------------------------------

To put the line directly into point slope for you need to find the slope, y-intercept, and x-intercept and place the values in accordingly. If you aren't given the y-intercept and x-intercept straight away it can be difficult for some putting it directly in point slope form. That is why I recommend putting it into standard form then point-slope form.

Answer:

y=-1x-3

Step-by-step explanation:

First, you have to find the slope using the formula I attached. Using this formula, you will subtract the second y from the first y, which is 1-(-3) for this problem. That equals 4, so that will be the numerator of the slope. Next, you have to subtract the second x from the first x, which is -4-0 for this problem. That equals -4, so that will be the denominator for this slope. the fraction now is [tex]\frac{4}{-4}[/tex], which is -1. The slope is -1. The current equation looks like this: y=-1x+b. Now we can solve for b, or the y-intercept. To do this, you have to use the x and y of one of the coordinates, it doesn't matter which one, the answer will be the same. Use the first one, for example. The x is 0 and the y is -3, so the our equation to find b is -3=-1(0)+b, which is -3=0+b, which is -3=b, or b=-3. So now we know what b is. Now we have to two components we need to write the equation, the slope (-1) and the y-intercept (-3). Now we can write the equation. y=-1x+(-3), or y=-1x-3.

Answer:

In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.

Step-by-step explanation:

Answer:

=12j−10w+3

Step-by-step explanation:

Answer:

-25.44

Step-by-step explanation:

Answer:

x+18

Step-by-step explanation:

Let's simplify step-by-step.

2x+8−x+10

=2x+8+−x+10

Combine Like Terms:

=2x+8+−x+10

=(2x+−x)+(8+10)

=x + 18

Answer: C) Cannot be done

Taking the square root of a negative number is not possible unless you involve complex numbers. If your teacher has not introduced that topic yet, then you just simply say "cannot be done" or something along those lines.

Black line: y=-3x+2

Blue line:  y=-3x+8

Answer:

blue line: y=3/-1x+8

black line: y=3/1x+2

Step-by-step explanation:

Answer:

1.5 * 10^(-4) is the scientific notation.....

Answer:they lost 32 yards

Source: trust me bro

Answer:

The awnser is -31 trust me ok i Got it wrong it showed me the awnser so its -31

Step-by-step explanation:

The first equation will turn into -18x -6y = -18, and the second equation will turn into 14x + 6y = 18. The y terms will cancel out when you add the equations together.

Answer:

A

Step-by-step explanation:

The answer is 11.

Step-by-step explanation:

19-25\19-15

44/4= 11

Answer:

write in algorithm and draw a flowchart to calculate the factorial of a number (N). verify your results by a trace table by assuming N=5

Im pretty sure the unit rate would be 50 mph!

Answer:

50

Step-by-step explanation:

You look at the graph, when x is one it intercept in the middle of 75 and 25, and that is 50

Answer:

A

Step-by-step explanation:

Answer:

9.5 feet

Step-by-step explanation:

According to the question

The equation is

x²=90

x=√90

x=3√10 or 9.5

Answer:

9.5 Ft

Step-by-step explanation:

:)

Answer:

6.92

Step-by-step explanation:

Answer:

For example, a common equation, y=mx+b y = m x + b

Step-by-step explanation:

is a linear function because it meets both criteria with x and y as variables and m and b as constants.

Answer:

x = -4

Step-by-step explanation:

The first equation tells us what y is equal to. We then substitute wherever there is a y with what y equals.

y = -2x - 9

6x - 5y = -19

6x - 5(-2x-9) = -19

6x + 10x + 45 = -19

16x + 45 = -19

16x = -64

x = -4

Answer:

C = 10

Step-by-step explanation:

[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]

[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = 100

[tex]\sqrt{100}[/tex] = 10

Answer:

I'm pretty sure that'd be 8567