A suitcase marked at $40 was sold at $32. What was the percentage of discount for the suitcase?

Answer: (-∞, 3.5)

Step-by-step explanation:

Here we can use the relation:

Exp( Log(X)) = X

Now, we start with the equation:

log(x + 7) > log(3x)

Now we can apply the exponential function to both sides of the inequality to get:

Exp(log(x + 7)) > Exp(log(3x))

x + 7 > 3x

7 > 3x - x

7 > 2x

7/2 > x

3.5 > x

Then the solutions will be all the values of x smaller than 3.5, this set can be written as:

(-∞, 3.5)

Answer:

(0,3)

Step-by-step explanation:

used an online calculator

Answer:

38.00

Step-by-step explanation:

Answer:

Follows are the solution to this question:

Step-by-step explanation:

[tex]95 \% \[/tex] the confidence level for z:

[tex]\alpha = 1 - 95 \% \\\\[/tex]

   [tex]= 1 - 0.95 \\\\ = 0.05[/tex]

[tex]\to \frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\\\to Z \ \frac{\alpha}{2} = Z_{0.025} = 1.96[/tex]

Calculating the Margin of error:

[tex]E = Z\ \frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})[/tex]

   [tex]= 1.96 \times ( \frac{5000}{\sqrt{\sqrt{100}}})\\\\= 980[/tex]

The population means estimate a 95 % confidence interval is:

[tex]\to \bar{x} \frac{+}{-} E\\\\ = \$ 90000 \frac{+}{-} 980[/tex]

Answer:

Willy can ride the bike for 250 miles.

Step-by-step explanation:

$35 - $15 = $20

$0.08 × 12.5 = $1

$1 per 12.5 miles

$20 × 12.5 = 250

Answer: I think it’s d but I’m not sure

Answer:

-8/5

Step-by-step explanation:

y values minus each other over x values minus each other

Answer:

-8/5 or -1.6

Step-by-step explanation:

the formula for slop is y2-y1/x2-x1

y2 is -2

y1 is 6

x2 is 1

x1 is -4

(-2-6)/(1+4)

(-8)/(5)

the slope is -8/5 or -1.6

(just in case you need to write out the work)

Answer:

Step-by-step explanation:

Equation of a line has been given as,

y = -2x + 5

Input-output points lying on the the line are,

x          0          1            2           3

y          5          3            1          -1

Now we can plot these points on the graph and join them to get the line representing the given equation.

(As graph attached)

Answer:

n = 28

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended on the same arc, then

35 + m = 0.5 × 98 = 49 ( subtract 35 from both sides )

m = 14

∠ n is at the centre subtended on the same arc as ∠ m , thus

n = 2m = 2 × 14 = 28

Answer:

a= -7

Step-by-step explanation:

I hope this helps! :)

Answer:

81/36

Step-by-step explanation:

81/9 is 9

9 times 4 is 36

Answer:

Hi there the answer is 81/36. Hope this helps! c:

Step-by-step explanation:

First, figure out what ratio was used to make 9, 81.

You can recall that 9 x 9 = 81.

Therefore you must multiply the bottom of the fraction by 9 as well in order to create the correct ratio.

Thus, 4 x 9 = 36.

Answer:

Line C

Step-by-step explanation:

slope

Answer:line c

Step-by-step explanation:

Answer:

wouldnt opposite of 4 just be -4

and wouldnt -2 just be at -2?

Step-by-step explanation:

hope this helps <3

Answer:

1. Negative 4

2. Negative 2

Step-by-step explanation:

1. Opposite of positive 4 is negative 4.

Negative 4 will be below sea level, so on the number line it will be below the zero, on -4.

2. Negative 2

Negative 2 will be below sea level, so on the number line it will be below the zero, on -2.

I hope it makes sense.

Answer:

13857552359

Step-by-step explanation:

13857552359.3

3 is less than 5, so round down to 13857552359

Answer:

what is given: 13857552359.3

Ones: 13857552359

Tens: 13857552360

Hundreds: 13857552400

Thousands: 13857552000

Millions: 13858000000

Hint: Each of the numbers are different

P.S I put all of them because you didnt say which whole number you wanted

Hope this helped!

Answer:

One answer: 3/8 or 0.375

Step-by-step explanation:

Answer:

exact form y

=3/8

decimal

y=0.375

Step-by-step explanation:

Step-by-step explanation:

so x+y=2

a line would have to go 0,2 2,0

so the answer would be D

Answer:

The answer is 44.99

Step-by-step explanation:

divide 89.98/2= 44.99

Answer:

It might help u , plz Brain-list it

Step-by-step explanation:

The option is not given but still its clear from the graph

That its slope intercept form will be ,

X=0  (the point where it intersect x axis) and Y=0  (the point where it intersect y axis)  

Answer:

y = 8x

Step-by-step explanation:

Hope this helps

(From k12)

Answer:

62 is 90.5% of what number?  68.51 (I think)

Answer:

[tex]Perimeter = \frac{39t-4}{4}[/tex]

Step-by-step explanation:

Given

[tex]Lengths: (2\frac{1}{4}t - 5), (4t + 3), (1/2t - 1), (3t + 2)[/tex]

Required

Determine the perimeter

The perimeter is calculated as the sum of the lengths of the irregular shape.

i.e.

[tex]Perimeter = (2\frac{1}{4}t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)[/tex]

Remove brackets

[tex]Perimeter = 2\frac{1}{4}t - 5 + 4t + 3 + 1/2t - 1 + 3t + 2[/tex]

Collect Like Terms

[tex]Perimeter = 2\frac{1}{4}t +4t + 1/2t + 3t - 5 + 3 - 1 + 2[/tex]

[tex]Perimeter = 2\frac{1}{4}t +4t + 1/2t + 3t -1[/tex]

Convert mixed number to improper fraction.

[tex]Perimeter = \frac{9}{4}t +4t + 1/2t + 3t -1[/tex]

Take LCM

[tex]Perimeter = \frac{9t + 16t + 2t + 12t}{4} -1[/tex]

[tex]Perimeter = \frac{39t}{4} -1[/tex]

Take LCM

[tex]Perimeter = \frac{39t-4}{4}[/tex]  --- The perimeter of the shape

We want to find the perimeter of the irregular quadrilateral given that we know its lengths. By direct computation, we will get:

P(t) = (39/4)*t - 1

Remember that for any figure, the perimeter is defined as the sum of the lengths of each side.

Here we have that the lengths of the four sides of the quadrilateral are:

(2 1/4t - 5)

(4t + 3)

(1/2t - 1)

(3t + 2)

So we must sum that, we will get:

P = (2 1/4t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)

Notice that in the first part we have a mixed number, we can rewrite it as:

2 + 1/4 = 8/4 + 1/4 = 9/4

Then the sum is:

P = ((9/4)t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)

Now we simplify this sum:

P = (9/4 + 4 + 1/2 + 3)*t + (-5 + 3 - 1 + 2)

P = (39/4)*t - 1

So the perimeter, as a function of t, is:

P(t) = (39/4)*t - 1

If you want to learn more, you can read:

https://brainly.com/question/11971721

Answer:

x-intercept is ([tex]- \frac{1}{2}, 0[/tex]) and y-intercept is ([tex]0, 2[/tex])

Step-by-step explanation:

We solve the equation when x=0. Let's try that with [tex]y+2=4(x+1)[/tex]

First, let's simplify it so that it resembles [tex]y=mx+b[/tex] more noticeably

[tex]y = 4x + 4 - 2 \\y = 4x + 2[/tex]

Now let's plug in 0 for x to find the y-intercept:

[tex]y = 4\cdot 0 + 2\\y = 2[/tex]

We solve the equation when y=0. Let's try this from the simplified equation we got ([tex]y = 4x + 2[/tex])

[tex]0 = 4x + 2\\-2 = 4x\\\frac{-2}{4} = x\\x = - \frac{1}{2}[/tex]

We must remind ourselves that all y-intercepts have an x that is equal to 0 and that all x-intercepts have a y equal to 0.

That means that our x-intercept will be ([tex]- \frac{1}{2}, 0[/tex]) and our y-intercept will be ([tex]0, 2[/tex])

This corresponds to the 3rd option counting from the left.

Good luck!

Answer:

The equation of the line is y = 2x - 5 ⇒ D

Step-by-step explanation:

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

Note: To prove that a line passes through a given point, substitute x in the equation of the line by the x-coordinate of the point and solve to find y, if y equals the y-coordinate of the point, then the line passes through it

∵ The slope of the line is 2

∵ The line passes through the point (3, 1)

→ Find at first which equation has slope 2, then check if the line passes

  through the point or not using the note above

A.

∵ y = 2x + 5

→ By comparing it with the form of the equation above

∴ m = 2

∴ The line has the same slope

→ Substitute x by 3 to find y

∵ y = 2(3) + 5 = 6 + 5 = 11

∵ y-coordinate of the point = 1

∴ The line does not pass through the point

B.

∵ y = 2x + 1

→ By comparing it with the form of the equation above

∴ m = 2

∴ The line has the same slope

→ Substitute x by 3 to find y

∵ y = 2(3) + 1 = 6 + 1 = 7

∵ y-coordinate of the point = 1

∴ The line does not pass through the point

C.

∵ y = 2x - 1

→ By comparing it with the form of the equation above

∴ m = 2

∴ The line has the same slope

→ Substitute x by 3 to find y

∵ y = 2(3) - 1 = 6 - 1 = 5

∵ y-coordinate of the point = 1

∴ The line does not pass through the point

D.

∵ y = 2x - 5

→ By comparing it with the form of the equation above

∴ m = 2

∴ The line has the same slope

→ Substitute x by 3 to find y

∵ y = 2(3) - 5 = 6 - 5 = 1

∵ y-coordinate of the point = 1

∴ The line passes through the point

∴ The equation of the line is y = 2x - 5

Answer: 62.5% water

100 * 50 / (50 + 30) = 100 times, then you do 50/80 and you get 62.5.

Answer:

62.5% or 62.5

Step-by-step explanation:

;)

Answer:

23.25 MPH

Step-by-step explanation:

7 3/4 x 3 = 23.25

1/3 x 3 = 3/3 = 1

So for 1 hour she will ride 23.25 MPH :D

Answer:

23 1/4 miles

Step-by-step explanation:

(7 3/4)x3 will give us the answer as (1/3)x3 is 3/3, meaning that it is the full hour.

Answer:

91

Step-by-step explanation:

Substitute 4 in place of x

f(4)=20*4+11

f(4)=80+11

f(4)=91

Answer:

D. 2787.64 yd^3

Step-by-step explanation:

This is the formula for the volume of a cone:

[tex]V=\frac{1}{3} \pi r^2h[/tex]

The height of the cone is 22 yd. The radius of the base of the cone is not given but we can use the diameter to calculate it since the radius is equal to half of the diameter.

[tex]r=\frac{1}{2}d\\r=\frac{1}{2}(22)\\r=11yd[/tex]

Therefore, the radius of the base of the cone is 11 yd.

Now, we plug our values into the formula and solve.

[tex]V=\frac{1}{3} \pi r^2h\\V=\frac{1}{3} \pi (11^2)(22)\\V=\frac{1}{3} \pi (121)(22)\\V=\frac{1}{3} \pi (2662)\\V=\frac{1}{3} \pi (2662)\\V=2787.64 yd^3[/tex]

Therefore, the volume of the cone is equal to 2787.64 yd^3.

I hope this helps!

Answer:

angle j = 98 degrees

angle c = 78 degrees

JK = 16

AD = 32

x=8

y=11

Step-by-step explanation: