The price of a package of 4 pens is $8.00. The same pens are sold at $2.50 each. If Alex bought three packages of pens rather than buying 12 pens individually, the amount he saved on 12 pens is the percent of the amount he paid is

Answer:

Step-by-step explanation:

The answer would be -19

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

[tex]\huge\boxed{\sf x = 26}[/tex]

Step-by-step explanation:

The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.

So, we get:

(48 - x) + (3x - 10) = 90

48 - x + 3x - 10 = 90

-x + 3x - 10 + 48 = 90

2x + 38 = 90

2x = 90 - 38

2x = 52

Divide both sides by 2

x = 52 / 2

x = 26

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

x=26

The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.

So, we get:

(48 - x) + (3x - 10) = 90

48 - x + 3x - 10 = 90

-x + 3x - 10 + 48 = 90

2x + 38 = 90

2x = 90 - 38

2x = 52

Divide both sides by 2

x = 52 / 2

x = 26

Hope this helped!

Answer:

b

Step-by-step explanation:

Answer:200$

Step-by-step explanation:

Answer:

The solution is in the photo

Answer:

It would be y=0.5x+1

Step-by-step explanation:

1/2 is the x which is the slope and it starts at 1 so that is the the y-intercept

Answer: less than s less than -2.5

Step-by-step explanation:

Answer:

-2.75 < -2.5

-2.75 is less than -2.5

Step-by-step explanation:

If we were to plot these numbers on a number line, it would look like the this:

<--- (-3) --- (-2.75) --- (-2.5) --- (-2.25) --- (-2) --->

When it comes to negative numbers, the "smaller" number is actually greater.

Therefore, -2.75 is less than -2.5.

Answer:

B and C

Step-by-step explanation:

look at comments

Answer:

hi the answer should be C or 8

Step-by-step explanation:

Hope this helps!

Answer:

8

Step-by-step explanation:

The average rate of change is given by

f(x2) -f(x1)

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

x2-x1

x2 = -3  and x1 = -5

Looking at the graph

f(x2) = f(-3) = 1

f(x1)= f(-5) =-15

Substituting these values into the equation

1 - (-15)

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

-3 - (-5)

1+15

----------

-3 +5

16

----

2

8

Answer:

Step-by-step explanation:

The length of the road is 7 * 5280 = 36960 feet

The grade is 6% which means that for every 100 feet horizontally, the road rises 6 feet.

6/100 * 36960 = 221760/100 = 2217.6 is the rise.

Answer:

5/2

Step-by-step explanation:

To find a slope you use rise over run.

The graph shows that you rise 5 for every 2 right.

The student's work is incorrect, and the reason is (a) No, the student should have added 3 4 to get the total number of sections, and used the fraction 3/7 instead of 3/5

From the complete question, the given parameters are:

[tex]Ratio =3 : 4[/tex] ---- the ratio

[tex]A = -6[/tex]

[tex]B = 2[/tex]

The student's steps are as follows:

[tex]C = \frac 34 (2 -(-6)) + (-6)[/tex]

[tex]C = \frac 34 (8) + (-6)[/tex]

[tex]C = 6 -6[/tex]

[tex]C = 0[/tex]

To determine the position of point C from the given ratio, we make use of the following quotient;

[tex]Position = \frac 3{3 + 4}[/tex]

[tex]Position = \frac 37[/tex]

This means that, the student ought to add 3 and 7, to get the total number of section.

Hence, the student's work is incorrect, and the reason is (a)

Read more about partitions at:

https://brainly.com/question/3573606

Answer:

A: No, the student should have added 3 + 4 to get the total number of sections, and used the fraction 3/7

Step-by-step explanation:

edge 2022

Answer:

I would expect 1 person to want mustard.

Explanation:

6 is half of 12, and 1 is half of 2 :)

Hope this helped

I agree with everything that dagaminangel said since two out of 12 wanted mustard one should want mustard out of the six

Answer:

a. f(12) = - 1

b. x = 27 when f(x) = 4

Step-by-step explanation:

We are given that [tex]f(x)=\frac{1}{3} x-5[/tex] and we want to find f(12) and f(x) = 4

To find f(12) we simply plug in 12 into x and evaluate it

[tex]f(x)=\frac{1}{3} x-5[/tex]

plug in 12

[tex]f(12)=\frac{1}{3} (12)-5[/tex]

multiply 12 and 1/3 to get 4

[tex]f(12)=4-5[/tex]

subtract 5 from 4 to get -1

[tex]f(12)=-1[/tex]

Now we want to find the value of x when f(x) = 4

To do this we substitute 4 for f(x) and solve for x

[tex]f(x)=\frac{1}{3} x-5[/tex]

substitute 4 for f(x) and solve for x

[tex]4=\frac{1}{3}x -5[/tex]

add 5 to both sides

[tex]9=\frac{1}{3} x[/tex]

multiply both sides by 3

27 = x

And we are done.

So f(12) = -1 and x = 27 when f(x) = 4

For a plug in 12 for x:

f(12) = 1/3(12)-5

f(12) = 4-5

f(12) = -1

For b plug in 4 for x:

f(4) = 1/3(4)-5

f(4) = 4/3 -5

f(4) = 0.75-5

f(4)= -4.25

Answer:

Step-by-step explanation:

1. HI // KL , J is midpoint of  HL     1. Given

2. ∠IHJ ≅ ∠JLK                             2. Alternate interior angles are congruent

3. ∠IJH ≅ ∠KJL                              3. Vertically opposite angles

4. HJ ≅   JL                                     4. Given

5. ΔHIJ ≅ ΔLKJ                              5.  A S A congruent

                                                             (Angle Side Angle)

Answer:

[tex]\frac{7}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}\ + \frac{10}{16}\[/tex]

[tex]= \frac{4}{16}\ + \frac{10}{16}\\[/tex]

[tex]= \frac{14}{16} \\[/tex]

[tex]= \frac{7}{8}[/tex]

hope it helps :)

mark brainliest!

Answer:

7/3t-2(10/3t-3)

Step-by-step explanation:

7*1/3t=7/3t

-(10*2/3t-60)=-2(10/3t-3)

=7/3t-2(10/3t-3)

Answer:

no

Step-by-step explanation:

Substitute x = 3 into the equation and if the result is 0 then it is a solution

y = 5(3) + 3 = 15 + 3 = 18 ≠ 0

Then (3, 0 ) is not a solution to the equation

Answer:

32

Step-by-step explanation:

x=6

and it's x+x+(x+4)+(x+4)

Answer:

80cm

Step-by-step explanation:

Lets have height be x

Then the length would be x+4

So the area would be x*x+4=60

Solve: 2x+4=60, 2x=36, x=18

The height is 18 so the length is 22

The perimeter=18*2+22*2

Result: 80cm

The equation that models the amount of gas left in the car as Phan drives is [tex](g = 18 - 2h)[/tex] and the total amount of gasoline does it take to fill her tank is 18 gallons.

Given :

The following steps can be used in order to determine the equation that models the amount of gas left in the car as Phan drives and the total amount of gasoline:

Step 1 - The two-point form of the line can be used in order to determine the equation that models the amount of gas left in the car as Phan drives.

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 2 - Now, substitute the value of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above expression.

[tex]\dfrac{g-12}{h-3}=\dfrac{8-12}{5-3}[/tex]

Step 3 - Simplify the above equation.

[tex]\begin{aligned}\\(g - 12)&=-2(h-3)\\g - 12&=-2h+6\\g &= 18-2h\\\end{aligned}[/tex]

Step 4 - Now, substitute the value of (h = 0) in the above equation.

[tex]g = 18-2(0)\\g = 18 \; {\rm gallons}[/tex]

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/11897796

Answer:

g = 18 – 2h; 18 gallons

Step-by-step explanation:

The answer above is correct.

Answer:

y = 3, m=0, b=3

Step-by-step explanation:

Hi there! If you look at the graph, we have a horizontal like crossing through y=3. your m value will be 0 as there is no slope. For your b value, it will be 3 as the y-intercept is 3.

I hope this helps!

Answer:

20z

Step-by-step explanation:

just times 20*z which give you 20z

Answer:

The car value is 9100

Step-by-step explanation:

you multiply 3 1/2 times 2600 and you get 9100, which is the value of the car.

hope that helps!

Answer:

0.1 percent

Step-by-step explanation:

A) The single biconditional statement of the given statement is;

A quadrilateral is a rectangle if and only if it has all perpendicular sides

B) The statement made by your friend about only true conditional statements having a true contrapositive is; True

A biconditional statement is one that combines 2 conditional statements that are related to one another. An example of a biconditional statement is;

The polygon has only four sides if and only if the polygon is a quadrilateral.

That biconditional statement has combined two individual conditional statements.

Now, to our question, we are given two statements;

Statement 1; A rectangle is a quadrilateral that has all perpendicular sides.

Statement 2; If all sides of a quadrilateral are perpendicular, then it is a rectangle.

Combining both statements means that the biconditional statement will be; A quadrilateral is a rectangle if and only if it has all perpendicular sides

B) A contrapositive is when we switch and negate the hypothesis and the conclusion of a conditional statement. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."

Thus, if the conditional statement is true, then we will have a true contrapositive.

Read more about contrapositives at; https://brainly.com/question/12276922

Answer:

1

Step-by-step explanation:

Answer: 8 or -6

Step-by-step explanation:

x^2 - 2x = 48

x^2 - 2x - 48 = 0

(x-8)(x+6) = 0

x = 8 or -6

Answer:

C. 1.2x

Step-by-step explanation:

He pays 1 x for his haircut, and an additional 20% on top of that, or an additional 0.2x. If you write that as an expression, you can simplify it like this:

[tex]1x+0.2x\\1.2x[/tex]

You can also work it out by multiplying by 1.2 as stated in answer C. If his haircut costs $10, adding a 20% tip of $2 is the same as multiplying by 1.2.

[tex]10\times1.2=12[/tex]