The gas tank of Wendy’s car was 23 full. She used 16 of a tank of gas when driving to and from work. Which equation shows how full the gas tank is now?


23−26=13 tank


26−23=13 tank


23−16=12 tank


16−23=12 tank

Answer:

B is the right choice

Hope This Helps!  Have A Nice Day!!

Answer:

8

Step-by-step explanation:

took the test

Answer:

The correct option is D.

Step-by-step explanation:

It is given that the table represents the total price including parking, p(t), for family fair packages with various numbers of included tickets, t.

t     :  0    10      20     30     40     50

P(t) : 15   27.5   40    52.5   65   77.7

Choose any points from the table. (0,15) and (10,27.5).

The equation of function is

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-15=\frac{27.5-15}{10-0}(x-0)[/tex]

[tex]y-15=\frac{12.5}{10}(x)[/tex]

[tex]y-15=1.25x[/tex]

Add 15 on both the sides.

[tex]y=1.25x+15[/tex]

[tex]P(t)=1.25t+15[/tex]

The family has a budget of $90.

[tex]P(t)\leq 90[/tex]

[tex]1.25t+15\leq 90[/tex]

Subtract 15 from both the sides.

[tex]1.25t\leq 75[/tex]

Divide both sides by 1.25.

[tex]t\leq 60[/tex]

Domain is the set of inputs or the values of t.

[tex]Domain=\{t|0\leq t\leq 60,t\in W\}[/tex]

Range is the set of outputs or the values of function p(t).

[tex]Range=\{P(t)|15\leq P(t)\leq 90,P(t)\in R\}[/tex]

Therefore the correct option is D.

Final answer:

The correct restricted domain is all whole numbers from 0 to 50 inclusive, and the restricted range is all real numbers from 15 to 77.5 inclusive, given the family's budget constraint of $90. Therefore, the correct option is B.

Explanation:

The problem presented involves determining the restricted domain and range of a function p(t) that reflects the total price, including parking, for family fair packages with a varying number of included tickets (t). Considering the family's budget of $90, we must identify the correct domain and range within this context. The domain here is the number of tickets, which can only take on certain specified values, and the range is the pricing associated with those ticket amounts. The possible ticket numbers (t) are 0, 10, 20, 30, 40, 50, and the corresponding prices (p(t)) are 15, 27.5, 40, 52.5, 65, 77.5.

Considering the given budget constraint, the domain and range must also not exceed $90. Thus, we exclude any ticket numbers or prices above this threshold when determining the domain and range. The correct answer to the question is B: The domain is restricted to all whole numbers from 0 to 50 inclusive. The range is all real numbers from 15 to 77.5 inclusive since these are the observed outputs from the function p(t) within the family's budget.

Answer:

-0.125

Step-by-step explanation:

The points on the graph referenced by the problem statement are ...

(x, y) = (-1, -0.25)

(x, y) = (1, -0.50)

The average rate of change between the two points is ...

(∆y)/(∆x) = (-0.50 -(-0.25))/(1 -(-1)) = -0.25/2 = -0.125

The average rate of change of the function shown on the interval [-1, 1] is -0.125.

Answer:

-0.125

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given 2 similar figures with sides in the ratio a : b

Then the ratio of their areas is a² : b²

Hence

ratio of sides = 2 : 9, then

ratio of areas = 2² : 9² = 4 : 81 → A

The answer is A.

Hope this helps!

Answer:

20

Step-by-step explanation:

5! = 5*4*3*2*1

3! = 3*2*1

5!/3! = 5*4*3*2*1

           ----------------

           3*2*1

Canceling common factors

      = 5*4

       = 20

For this case we have that by definition, the factorial of a number is the product of the "n" consvutive factors from n to 1. The factors are in descending order, that is:

[tex]n! = n (n-1) (n-2) ... 3 * 2 * 1[/tex]

Then, we have the following expression:

[tex]\frac {5!} {3!}[/tex]

Applying the definition we have:

[tex]\frac {5!} {3!} = \frac {5 * 4 * 3 * 2 * 1} {3 * 2 * 1} = \frac {120} {6} = 20[/tex]

ANswer:

20

The sum of the measure of the angles in a triangle are 180 degrees.

In this formula solve for x

32 + 70 + x = 180

102 + x = 180

(102 - 102) + x = 180 - 102

x = 78

The last angle is 78 degrees

Hope this helped!

~Just a girl in love with Shawn Mendes

The highest peak is in the middle and both sides of it are fairly similar, so this would be a bell shaped distribution.

Answer:

Part 5) ∠x=122°

Part 6) Option D. ∠x=114°

Part 7) Option B.300π cm^3

Part 8) The volume of the cone is [tex]V=602.88\ in^{3}[/tex]

Part 9) The value of x is 12 cm

Part 10) BC=21 units

Part 11) Option D.reflection across the y-axis

Part 14)  [tex]x=15.6\ cm[/tex]

Part 15) B. 5, 12, 13

Step-by-step explanation:

Part 5)  What is the value of x?

we know that

∠x+58°=180°------> by supplementary angles

solve for x

∠x=180°-58°=122°

Part 6)  What is the value of x?

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

The measure of the third interior angle of the triangle is equal to

180°-61°-53°=66°

so

66°+∠x=180° -----> by supplementary angles

solve for x

∠x=180°-66°=114°

Part 7) A cylinder has a radius of 5 cm and a height of 12 cm. What is the volume of the cylinder?

we know that

The volume of the cylinder is equal to

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

we have

[tex]r=5\ cm[/tex]

[tex]h=12\ cm[/tex]

substitute

[tex]V=\pi (5)^{2} (12)[/tex]

[tex]V=300\pi\ cm^{3}[/tex]

Part 8) A cone has a diameter of 12 in. and a height of 16 in. What is the volume of the cone?

we know that

The volume of the cone is equal to

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

we have

[tex]r=12/2=6\ in[/tex] ------> the radius is half the diameter

[tex]h=16\ in[/tex]

substitute

[tex]V=(1/3)(3.14)(6)^{2} (16)[/tex]

[tex]V=602.88\ in^{3}[/tex]

Part 9) Rectangle ABCD is similar to rectangle FGHI. What is the value of x?

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem

AB/FG=BC/GH

substitute the values

8/6=x/9

x=9*8/6

x=12 cm

Part 10) Given quadrilateral ABCD ~ quadrilateral JKLM and AD = 14, JM = 6, and KL = 9, what is BC?

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

AD/JM/BC/KL

substitute the values

14/6/BC/9

BC=14*9/6

BC=21 units

Part 11) What transformation was performed on triangle ABC to create triangle A'B'C' ?

we know that

The rule for a reflection over the y -axis is (x,y)→(−x,y)

so

When reflecting across the y- axis the x-values will be multiplied by negative one, but the y-values will not change

This problem is a reflection across the y-axis

Part 14) What is the value of x? Round to the nearest tenth    

we know that

Applying the Pythagoras Theorem

[tex]x^{2}=10^{2}+12^{2}\\ \\x^{2}=244\\ \\x=15.6\ cm[/tex]

Part 15) Which set of side lengths defines a right triangle?

we know that

If the set of side lengths defines a right triangle, then must satisfy the Pythagoras Theorem

Verify each case

case A. 6, 8, 11

[tex]11^{2}=6^{2}+8^{2}\\ \\121=100[/tex]

Is not true

therefore

Is not a right triangle

case B. 5, 12, 13

[tex]13^{2}=5^{2}+12^{2}\\ \\169=169[/tex]

Is true

therefore

Is a right triangle

case C. 7, 9, 13

[tex]13^{2}=7^{2}+9^{2}\\ \\169=130[/tex]

Is not true

therefore

Is not a right triangle

case D. 6, 9, 11

[tex]11^{2}=6^{2}+9^{2}\\ \\121=117[/tex]

Is not true

therefore

Is not a right triangle

Answer:

IV: Color of containers

DV: Temp of water

3 Constants: How much water, container size, container material

Hypothesis: The water in the red container will heat up the quickest

Hope this helps!

Red, black, white containers

Dependent variable: how much heat a container absorbed from the Sun.

Independent variable: temperature measured in the container

3 Constant: heat given by Sun, 300ML water, thermometer reading accuracy

Hypothesis: the black container will absorb the most heat from the Sun and will transfer the heat to the water first, the red will be second and white third.

Answer:

a) (-2,-8)

b) not sure :(

c) (0,-4)

Step-by-step explanation:

To find the vertex rewrite in vertex form and use this form to find the vertex (h,k).  To find the y-intercept, substitute in 0 for x and solve for y.

Ok the formula for this is 2(lw +hw+hL)

2(30+35+42)=2(107)=214 square feet

[tex]214 ft^{2}[/tex]

Answer:

The probability is 0.0015

Step-by-step explanation:

We know that the mean [tex]\mu[/tex] is:

[tex]\mu=6:30\ p.m[/tex]

The standard deviation [tex]\sigma[/tex] is:

[tex]\sigma=0:15\ minutes[/tex]

The Z-score is:

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

We seek to find

[tex]P(x>7:15\ p.m.)[/tex]

The Z-score is:

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

[tex]Z=\frac{7:15-6:30}{0:15}[/tex]

[tex]Z=\frac{0:45}{0:15}[/tex]

[tex]Z=3[/tex]

The score of Z = 3 means that 7:15 p.m. is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

So

[tex]P(x>7:15\ p.m.)=P(Z>3)=0.0015[/tex]

Answer: If you take the $8 service fee away from 38 you get 30. Then do 30/.12 and you get 250. To check it just do 250 x .12 and you'll get 30.

The answer is 250 minutes

Step-by-step explanation:

To find the number of minutes the customer used the phone, solve the equation c = 0.12m + 8 where c is the total cost for one month and m is the number of minutes used. Given that the customer's bill for the month is $38.00, substitute this value and solve for m. The customer used the phone for 250 minutes.

To find the number of minutes the customer used the phone, we can solve the equation

c = 0.12m + 8

where c is the total cost for one month and m is the number of minutes used.

Given that the customer's bill for the month is $38.00, we can substitute this value for c in the equation:

$38.00 = 0.12m + 8

Next, we can subtract 8 from both sides of the equation and then divide by 0.12 to isolate the variable m:

$38.00 - 8 = 0.12m

$30.00 = 0.12m

m = $30.00 / 0.12

m = 250 minutes

So, the customer used the phone for 250 minutes.

This is because that’s the smallest number in the multiple of both numbers.

The Lowest common multiple of 5 and 6 is 30

This is the lowest factor that can divide all other values without remainder.

In order to find the LCM of 5 and 6, we will Simply multiply thevalues together as shown:

LCM = 5 * 6

LCM = 30

Hence the Lowest common multiple of 5 and 6 is 30

Learn more on LCM here: https://brainly.com/question/16054958

#SPJ6

Kyra sold a car that cost $26,500

1325 = 0.05x

1) 0.05x = 1325

2) Divide both sides by 0.05 -—> 0.05x/0.05 = 1325/0.05

3) x = 26,500

Final answer:

Kyra's commission of $1,325, which is 5% of the car's cost, leads us to calculate the cost of the car by dividing the commission by the commission rate, resulting in a car cost of $26,500.

Explanation:

Kyra receives a 5% commission on every car she sells. We are given that her commission on the last car she sold was $1,325. To find the cost of the car, we use the formula:

Commission = (Commission Rate) × (Cost of the Car)

Therefore,

Cost of the Car = Commission ÷ Commission Rate

Cost of the Car = $1,325 ÷ 0.05

Cost of the Car = $26,500

So, the car that Kyra sold was worth $26,500.

Answer:

Point-slope equation of this line:

[tex]\displaystyle y - 1 = \frac{1}{2}(x-5)[/tex].

Step-by-step explanation:

The equation for a line in a cartesian plane can take multiple forms. This question gives

The point-slope form will the most appropriate.

What is the point-slope form equation of a line [tex]l[/tex]?

In general,

[tex]l:\; y - y_0 = m (x - x_0)[/tex],

where

In other words, [tex](x_0,\; y_0)[/tex]the point on the line.

For this line,

Thus the equation for this line:

[tex]\displaystyle y - 1 = \frac{1}{2} (x - 5)[/tex].

Answer:

91

Step-by-step explanation:

To solve this use order of operations and the acronym PEMDAS:

Parentheses:

There are no parentheses

Exponents:

[tex]3^4[/tex] is equal to 3 x 3 x 3 x 3.

3 x 3 is 9, so we can simplify this to 9 x 9.

9 x 9 is 81.

Now we have 81 + 2 x 5

Multiplication or Division:

Multiply 2 x 5.

2 x 5 = 10.

Now we have 81 + 10

Addition or Subtraction:

Add 81 + 10

81 + 10

= 91

Answer:

3.73 in expanded form

3 + 0.7+ 0.03

Final answer:

The number 3.73 in expanded form is written as 3 + 0.7 + 0.03, showing the value of each digit according to its place value.

Explanation:

The question is asking to write the number 3.73 in expanded form which is a way of writing numbers to show the value of each digit. When a number is written in expanded form, we break apart the number by each digit's place value, isolating each digit to represent the total sum of each part.

So, for the number 3.73, we can expand it as follows:

Now, combining these values together, we can write 3.73 in expanded form as:

3 + 0.7 + 0.03

Answer:

The correct answer option is B. 7/12.

Step-by-step explanation:

We are given that a baseball player gets to base 7 times and strikes out 5 times during a tournament.

We are to find the experimental probability of the player getting on base.

Assuming that there are only two outcomes,

number of times player gets on base = 7

number of times player strikes out = 5

total number of both outcomes = 12

Experimental probability of getting on base = 7/12

The answer above is right

Answer:

After 3 hours, both the airplanes are at a distance of 938.9 meters from each other.

Step-by-step explanation:

Speed of plane A = 275 mph

Speed of plane B = 375 mph

Angle between their flight path = Ф = 55°

Let their paths after 3 hours make a triangle.

Path of plane A is side 'a' = 275*3 = 825

Path of plane B is side 'b' = 375*3 = 1125

Distance between both planes after 3 hours = side 'c'

Here, we have two sides and one angle of the triangle.

We can find the third side using the law of cosines which is given as:

c² = a² + b² - 2ab*cosФ

c² = 825² + 1125² - 2(825)(1125)(cos(55°))

c² = 680625 + 1265625 - 1064745             where cos(55°) = 0.5736

c² = 881,505

c = √881,505

c = 938.9

c = 938.9 meters

ANSWER

P(x)=2(f+g)(x)

EXPLANATION

The perimeter of a rectangle is calculated using the formula:

P=2(l+w)

From the table

The length is f(x)=x+3

The width is g(x)=x+2

This implies that the perimeter is

P(x)=2(f(x)+g(x))

This is the same as

P(x)=2(f+g)(x)

Answer:

Step-by-step explanation:

The formula of an area of a parallelogram:

[tex]A=bh[/tex]

b - base

h - height

We have

[tex]b_1=36,\ h_1=24\\\\b_2=27,\ h_2=h[/tex]

Calculate the area:

[tex]A=(36)(24)=864[/tex]

[tex](27)(h)=864[/tex]           divide both sides by 27

[tex]h=32[/tex]

Answer:

x = 39.1

Step-by-step explanation:

Points to remember

Mean of a data set is given by

Mean = (sum of data set)/Total number of data

To find the value of x

It is given a data set

31.7, 42.8, 26.4, x

Mean = 35

Sum of data set = 31.7 + 42.8 + 26.4 + x = 100.9 + x

(100.9 + x)/4 = 35

100.9 + x = 35 * 4 = 140

x = 140 - 100.9 = 39.1

Therefore x = 39.1

Answer: [tex]x[/tex]≈[tex]0.732[/tex]

Step-by-step explanation:

You need to find the value of the variable "x".

To solve for "x" you need to apply the following property of logarithms:

[tex]log(m)^n=nlog(m)[/tex]

Apply logarithm on both sides of the equation:

[tex]90^x=27\\\\log(90)^x=log(27)[/tex]

Now, applying the property mentioned before, you can rewrite the equation in this form:

[tex]xlog(90)=log(27)[/tex]

Finally, you can apply the Division property of equality, which states that:  

 [tex]If\ a=b,\ then\ \frac{a}{c}=\frac{b}{c}[/tex]

Therefore, you need to divide both sides of the equation by [tex]log(90)[/tex]. Finally, you get:

[tex]\frac{xlog(90)}{log(90)}=\frac{log(27)}{log(90)}\\\\x=\frac{log(27)}{log(90)}[/tex]

[tex]x[/tex]≈[tex]0.732[/tex]

Answer:

5

Step-by-step explanation:

2/125 * 5 = 2/25

Answer:

https://edge-answers.org/

Gives most of the answers.

Step-by-step explanation:

Answer:

1. 48 square feet

2. 308 square feet

Step-by-step explanation:

1.

The entry terrace is shaped as a trapezoid and the area of a trapezoid is given as:

Area of Trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

Where

b_1 and b_2 are the 2 parallel bases

and h is the perpendicular height

From the diagram, we see that the 2 bases are 16 and 8 and height is 4.

Plugging into the formula, we get:

Area of Entry Terrace = [tex]\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(16+8)*4=\frac{1}{2}(24)(4)=48[/tex]

2.

The total area comprises of the area of entry terrace + playroom + back porch.

The area of the back porch is 6 * 6 = 36 (it is shaped like a square and square has area of side * side)

The area of the playroom is 14 * 16 = 224 (it is a rectangle and rectangle has area of base * height)

Total area of treehouse = 48 + 36 + 224 = 308 square feet

Answer:

The entry terrace has an area of

48

square feet. The total area of the tree house including the entrance, porch, and side deck is

350

square feet.

Step-by-step explanation:

I just took a test with this question and this was the right answer

~Please mark me as brainliest : )

I only know number 9

9:0.70

8. 960 / 40 = 24

9. 7/10 = 0.7

10.   36.90

         7.35

Once added its sum is 44.25.

Answer:

The correct answer option is A. y = 5x + 29.

Step-by-step explanation:

We are given the following equation of a line and we are to identify the equation of a line parallel to this line which passes through (-6, -1), in slope intercept form:

[tex]y = 5x+2[/tex]

Parallel lines have same slope, so the slope of this line will be 5.

Finding the y-intercept using the standard equation of line.

[tex]y=mx+c[/tex]

[tex]-1=5(-6)+c[/tex]

[tex]c=29[/tex]

Therefore, our equation will be:

[tex]y=5x+29[/tex]

The answer is:

The equation of the line that it's parallalel to the given line and passes through the point (-6,-1) will be:

A.

[tex]y=5x+29[/tex]

To find an equation in slope-intercept form for the linea paralallel to the given line, we must guarantee that the new line will have the same slope of the given line.

We are given the line:

[tex]y=5x+2[/tex]

Where its slope is equal to 5

[tex]m=5[/tex]

and the point (-6,-1)

The slopte-intercept form of a line, is given by the following equation:

[tex]y=mx+b[/tex]

Then, we know that the line that we are looking for, will have a slope equal to 5, so:

[tex]y=5x+b[/tex]

Now, substituting the given point in order to find "b", we have:

[tex]y=5x+b[/tex]

[tex]-1=5*(-6)+b[/tex]

[tex]-1=-30+b[/tex]

[tex]b=-1+30=29[/tex]

Hence, we have that the equation of the line that it's parallalel to the given line and passes through the point (-6,-1) will be:

[tex]y=5x+29[/tex]

Have a nice day!