Maria just put 23.38 gallons of fuel into her car. There were 1.7 gallons in the car to begin with. How much fuel is in Maria's car now?

Answer:

24

Step-by-step explanation:

6 sides on die

2 sides on each coin

6 x 2 x 2 = 24

Answer:

Well we add together 20+15 which is 35 which is 5 over the 30 in the class so that means out of the 30 students 5 of them like both games

Hope This Helps

Step-by-step explanation:

In a class 30 students

20 like to play cricket

15like to play volleyball

Tumhara questions galat hai

Answer:

ok so if he pays 465.98 and we want to find the price if we reduce it by 3.6 we can multiple it by

465.98*0.964=

449.20472

so now we round to two points to get

449.21

Answer:

where's the diagram can you tell

Answer:

ok from this we know the angle of this triange are

90+47+x=180

x=43

with these if we use the proper formula we know that the two other sides are

about 21 and 23

since the top side is longer we know that X=23

Answer:

You're answer has be written as an inequality, therefore it would be;

=> p ≥ -17

Hope this helps!

Answer:

p is less than -17

Step-by-step explanation:

The inequality that can be used for this is p+5 <17. The reason is because you have to read the question very carefully. They try to trick you. I would underline five more than a number p is less than 17. This helps you because now when you think of 5 more than you think of addition. Which would be p+5. Then, this number is less than 17. So it would be p+5<17. For the solution, you would subtract 5 from both sides. Why? That way it frees up and you are left with p. Since that is all you want. Then, once you do that your solution should be p<12. Since that is what you will be left with.

Answer:

Step-by-step explanation:

Use the equation

[tex]A(t)=P(1+r)^t[/tex] and fill it in using the info we were given:

[tex]5263.73=4000(1+r)^7[/tex] Begin by dividing both sides by 4000 to get

[tex]1.3159325=(1+r)^7[/tex] and take the 7th root of both sides to "undo" that 7th power on the right. Doing that gives us

1.04 = 1 + r so

.04 = r and the interest rate is 4%

Answer:

x = 23.5

Step-by-step explanation:

For a trapezoid, the angles on the same side are supplementary. This simply mean they add up to 180 degrees

thus, we have it that;

(6x + 3) + (x + 12.5) = 180

6x + x + 3 + 12.5 = 180

7x + 15.5 = 180

7x = 180-15.5

7x = 164.5

x = 164.5/7

x = 23.5

Answer:

the sum of the remaining exterior angles is 174⁰

Step-by-step explanation:

Given;

the measure of two exterior angles of a decagon = 97° and 89°

The total sum of exterior angles of a polygon is 360⁰

let the sum of the remaining exterior angles = x

sum of the given exterior angles = 97⁰ + 89⁰ = 186⁰

x + 186⁰ = 360⁰

x = 360⁰ - 186⁰

x = 174⁰

Therefore, the sum of the remaining exterior angles is 174⁰

Answer:

I'm pretty sure it's 30 but I'm not 100% sure.

Answer:

30%

Step-by-step explanation:

70+30=100!

Answer:

400%

Step-by-step explanation:

the question is asking what percent of 50 is 200

we can set up this proportion to find 'x' (the original price)

200/50 = x/100

cross-multiply to get:

50x = 20,000

x = 400%

Answer:

(5, -7)

Step-by-step explanation:

There are two ways. The first is to just look at the graph and where they converge. The second way takes some math. If you would like the math explanation, let me know. I'd be happy to provide!!

I hope this helped :)

Answer:

so far 400 concert 500 inequaaliry

what is people

park rules

Answer:

B

Step-by-step explanation:

x ≤ 30 means there can be 30 or fewer seats in each of the 20 rows to remain less than 1000 people

Answer:

3,680 cubic feet

Step-by-step explanation:

The volume of a rectangular prism is:

length x width x height

Rooms are in the shape of a rectangular prism, so the figure we are gonna tind the volume of is a prism.

The volume of Mr. Tai’s living room is:

10 x 18 x 8 = 1,440 cubic feet

The volume of his family room is:

14 x 20 x 8 = 2,240 cubic feet

Add the volumes of both figures:

1,440 + 2,240 = 3,680

Hope this helps!

Answer:

k=6

Step-by-step explanation:

For a piecewise function to be continuous, the left-side and right-side limits must be equal to each other. Therefore, the left-side limit of f(x) is 8 because the derivative of 2x^2 is 4x, and then directly substituting x=2 gives us 4(2)=8. Therefore, the right-side limit must also equal 8. Therefore, k must be 6 because 2+6=8.

Answer:

[tex]\displaystyle k = 6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Algebra II

Calculus

Step-by-step explanation:

Step 1: Define

Identify

Continuous at x = 2

[tex]\displaystyle f(x) = \left \{ {{2x^2 \ if \ x < 2} \atop {x + k \ if \ x \geq 2}} \right.[/tex]

Step 2: Solve for k

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits - Continuity

Book: College Calculus 10e

Answer:

D

Step-by-step explanation:

we'll use the complex number system to solve this exercice

the coordinates of the last triplet are : (1,2) , (2,4) and (4,8) The affixes are then

 [tex]1 + 2i = a \\2 + 4i= b = 2a \\4+8i = c = 2b = 4a[/tex]

for the points to be aligned the fraction [tex]\frac{c-a}{b-a}[/tex] should be a real number

[tex]\frac{c-a}{b-a} = \frac{4a-a}{2a-a} = \frac{3a}{a} = 3[/tex]

so the points are aligned

Answer:

D (1, 2), (2, 4), (4, 8)

Step-by-step explanation:

Hope this helps

Answer:

x = 4.8

Step-by-step explanation:

2x + 3x + 3x + 2x + 5x = 15x

exterior angles always add up to 360 degrees

360 /5 = 72

72 / 15x = 4.8

x = 4.8

hope it helps!!

Step-by-step explanation:

the answer is in the image above

Answer:

Inequality: 12c + 35 ≥ 100

Minimum number of classes per customer: 6

Step-by-step explanation:

12c + 35 ≥ 100

      - 35     -35

12c ÷ (12) ≥ 65 ÷ (12)

c ≥ 5.4 (so 6)

Hope this helps good luck!

Answers:

The inequality is [tex]12C+35 \ge 100[/tex]

The minimum number of classes a customer can take is 6 classes

===========================================================

Explanation:

The expression 12C+35 represents how much a customer spends when they take C number of classes. The C is a placeholder for any positive whole number.

For instance, if they take C = 2 classes, then they spend 12*C+35 = 12*2+35 = 59 dollars.

Or if they take C = 3 classes, then they spend 12*C+35 = 12*3+35 = 71 dollars and so on.

We could try various values of C to find when 12C+35 is 100 or larger.

Or we can use algebra as shown in the next section.

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

[tex]12C+35 \ge 100\\\\12C \ge 100-35\\\\12C \ge 65\\\\C \ge \frac{65}{12}\\\\C \ge 5.4167 \ \text{ (approximate)}\\\\[/tex]

Because C is a positive whole number, we round up from 5.4167 to 6

We would not round to 5 even though 5.4167 is closer to 5 (hence the phrasing round up, instead of simple rounding).

If the customer took C = 5 classes, then they spend 12*C+35=12*5+35 = 95 dollars which is 5 short of the goal

But if they take C = 6 classes, then we're over the goal because 12*C+35 = 12*6+35 = 107. Larger values of C will result in larger total costs.

So the minimum number of classes a customer can take is 6 classes and this will allow Rebekah to reach her goal of $100 or more.

Answer:

See below.

Step-by-step explanation:

No, a reasonable estimate is around 7 * 6 = 42.

Round $6.99 to $7 and multiply by the 6 family members.

Answer:

a = 2

Step-by-step explanation:

Here, we want to get the value of a

From the remainder theorem, if we the divisor to zero and get a value for the variable, then substitute this value into the polynomial, the result we have is the remainder

So;

set x + 1 = 0 ; and x = -1

substitute this into the polynomial

(-1)^3 + 2(-1)^2 -5(a)(-1) -7

= -1 + 2 + 5a -7 = 5a -6

For the second;

set x -2 = 0; x = 2

Substitute in the second polynomial;

2^3 + a(2)^2 -12(2) + 6

= 8 + 4a -24 + 6 = 4a -10

So therefore;

2(5a-6) + 4a - 10 = 6

10a-12 + 4a -10 = 6

10a + 4a -22 = 6

14a = 6 + 22

14a = 28

a = 28/14

a = 2

Answer:

Volume= l x w x h

Volume= 19 x 1.7 x 6

=193.8

1.7 feet to inches, 20.4 inches * 19 inches * 6 inches = 2,325.6cubic in, or 16.15 cubic feet

Answer:

6+c

Step-by-step explanation:

sum means to add

6+c

Answer:

1.82142857143 or 1 23/28

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

51/28 or 1 23/28

Step-by-step explanation:

The LCD here is 9.  Rewrite 5 2/3 first as 17/3, and then multiply numerator and denominator both by 3, obtaining the equivalent 51/9.

Then divide 51/9 by 28/9:  Equivalently, invert the divisor (28/9) and multiply:

(51/9)(9/28) = 51/28 or 1 23/28

5 2/3 divided by 3 1/9 is 1 23/28.

Note: Let us consider, we need to find the gradient of line L.

Given:

The given equation of a line is:

[tex]y=7-4x[/tex]

The line L passes through the points with coordinates (- 3, 1) and (2, - 2).

To find:

The gradient of the given line and the gradient of line L.

Solution:

Slope intercept form of a line is:

[tex]y=mx+b[/tex]                ...(i)

We have,

[tex]y=7-4x[/tex]                   ...(ii)

On comparing (i) and (ii), we get

[tex]m=-4[/tex]

Therefore, the gradient of the given line is -4.

The line L passes through the points with coordinates (- 3, 1) and (2, - 2). So, the gradient of line L is:

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

[tex]m=\dfrac{-2-1}{2-(-3)}[/tex]

[tex]m=\dfrac{-3}{2+3}[/tex]

[tex]m=\dfrac{-3}{5}[/tex]

Therefore, the gradient of the line L is [tex]\dfrac{-3}{5}[/tex].

Answer:

y = 0.75x + 12

Step-by-step explanation:

The estimated total cost, y, of a child's toy is partially based on the number 1 point of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?

y = 12x + 0.75

y = 0.75x + 12

y = 12x − (775

y = 0.75x − 12

y = total cost of a child's toy

Cost of each battery = $0.75

Number of batteries = x

Cost of the toy = $12

Therefore,

total cost of a child's toy = Cost of the toy + Cost of each battery * Number of batteries

y = 12 + 0.75 * x

y = 12 + 0.75x

y = 0.75x + 12

Answer:

a=146°

Step-by-step explanation:

a+34 =180 degree (being linear pair

a=180-34

a=146 degree

Note: A linear pair is a pair of adjacent angles formed when two lines intersect.

Answer:

x = number of packets of strawberry wafers = 4 packets

y = number of packets of chocolate wafers = 18 packets

Step-by-step explanation:

Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $30 to buy a total of 22 packets of wafers of the two varieties.

Part A: Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Devon and his friends bought at the carnival. Define the variables used in the equations. (5 points)

Part B: How many packets of chocolate wafers and strawberry wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)

A.

Let

x = number of packets of strawberry wafers

y = number of packets of chocolate wafers

x + y = 22

3x + y = 30

B. Solve the equation in A using elimination method

x + y = 22 (1)

3x + y = 30 (2)

subtract (1) from (2) to eliminate y

3x - x = 30 - 22

2x = 8

x = 8/2

x = 4

Substitute x = 4 into (1) to solve for y

x + y = 22 (1)

4 + y = 22

y = 22 - 4

y = 18

x = number of packets of strawberry wafers = 4 packets

y = number of packets of chocolate wafers = 18 packets