The Kendall family was preparing to go hiking with the Smith family. In preparation,
the Kendall's bought 8 Cliff Bars and 4 appleslfor $12.40. The Smith family spent
$24.30 on 15 Cliff Bars and 9 apples. What is the difference in price between a cliff
bar and an apple?

Answers

Answer 1

Answer:$9.3 is the bars and the rest is the apples

Step-by-step explanation:because you take away from the bars than what is left is the apples.

Answer 2

The difference in price between a cliff bar and an apple is $0.50.

To determine the difference in price between a cliff bar and an apple, we must create two equations based on the information provided:

8C + 4A = 12.40 (equation 1 for the Kendall family)

15C + 9A = 24.30 (equation 2 for the Smith family)

We can solve these equations using substitution or elimination. Let's use the elimination method:

Multiply equation 1 by 2 to get 16C + 8A = 24.80 (equation 3).

Subtract equation 3 from equation 2: (15C + 9A) - (16C + 8A) = 24.30 - 24.80 which gives us -C + A = -0.50.

From this simplified equation, we gather that the price difference between a cliff bar and an apple is $0.50.

Therefore, the difference in price between a cliff bar and an apple is $0.50.


Related Questions

please help with this

Answers

Answer:

Arc Length: [tex]S=r\theta[/tex]

[tex]S=3\frac{7\pi}{3}\\S=7\pi in[/tex]

A person is carrying a dog that weighs 50 pounds. The person weighs x pounds. Which equation can be used to find w, the total weight of the person and the dog in pounds?

Answers

Answer:

w = x + 50

Step-by-step explanation:

The dog is 50 pounds. The person's weight is x. You are trying to find the total weight of the dog and person. Therefore, you need to combine the two values to get the total, making the equation w = x + 50, or x + 50 = w

Which equation will help you find the measure of
angle x?

Answers

Answer:

x + 97 = 180

Step-by-step explanation:

Being that vertical line is straight, that 97 degrees and x must add up to equal 180 degrees. Therefore, x + 97 = 180 would help you solve for x.

4e^x -2= 14 solve for X

Answers

Answer:

x = 1.386

Step-by-step explanation:

4e^x= 16

e^x=4

ln(e^x)=ln4

x=ln4=1.386

22 points Please Help!!
Which is enough information to prove that u parallel to v? Lines u and v are cut by transversal t. Clockwise from top left, the angles formed by t and u are 1, 2, 3, 4; formed by v and t are 5, 6, 7, 8.
A) Angle 2 is congruent to angle 4
B) Angle 4 is congruent to angle 8
C) Angle 6 + angle 7 = 180 degrees
D) Angle 3 + angle 4 = 180 degrees

Answers

Answer:

B) Angle 4 is congruent to angle 8

Step-by-step explanation:

Is the leading coefficient of the function positive or negative?

Answers

Answer:

Negative.

Step-by-step explanation:

To understand the question, you first must understand the slopes of different types of equations.

A linear equation: [tex]y = 2x[/tex] will travel from the third quadrant to the first.

If you plug in 2 for x, y will equal 4. Both values are positive, leading to a positive correlation.

A linear equation: [tex]y = -3x[/tex] will face the other direction, as shown in your attached image. When you plug in a positive number for x, like 5, y will equal -15, making the graph go up and left towards negative values.

CAN SOMEONE PLEASE HELP ME??!!!
PLZ HURRY!!!

Answers

Answer:

It's the first one

3 + x + x = 15
Just need a simple answer and explanation thank you

Answers

Answer:

6

Step-by-step explanation:

3+x+x=15

3+2x=15

2x=15-3

2x=12

x=12/2

x=6

Answer:

x=6

Step-by-step explanation:

x=6 because if you simplify this equation you get 3 + 2x = 15. The first step to solving a equation is having the x value on one side of the equation and the number value on one side. to do this we can subtract 3 from both sides of the equation and get the equation 2x=12. which would mean x=6.


Which coordinate pair identifies a point in the third quadrant of the coordinate plane?

A) (8, 12)
B) (7, −9)
C) (−10, 6)
D) (−6, −8)

DO NOT GUESS

Answers

Answer:

  The answer is D) (-6,-8) because in order to have a coordinate in the III quadrant you need two negatives.

Step-by-step explanation:

Answer:

The correct answer is D) (-6,-8)

Step-by-step explanation:

All points in the third quadrant have two negative numbers.

Use a trigonometric ratio to find the value of x. Round your answer to the nearest
tenth.

Answers

Answer:

x=63.256%   63.3-rounded to the nearest tenth.

Step-by-step explanation:

The length of the diagonal of a rectangle is 181 inches.
Which statement describes the length of the diagonal?

Answers

Answer:

181 is the thing is what it says it is just find the volum

Step-by-step explanation:

Answer:

13 and 14 inches

Step-by-step explanation:

On Monday a team of street sweepers cleaned 2 1/2 city blocks Tuesday the team cleaned 1/4 as many blocks as on Monday how many city blocks did the streets sweepers clean on tuesday

Answers

On Tuesday, the street sweepers cleaned [tex]\( \frac{5}{8} \)[/tex] city blocks.

On Tuesday, the team of street sweepers cleaned [tex]\( \frac{1}{4} \)[/tex] as many blocks as they did on Monday.

Given that they cleaned [tex]\( 2\frac{1}{2} \)[/tex] city blocks on Monday, we need to find [tex]\( \frac{1}{4} \)[/tex] of this amount to determine how many blocks they cleaned on Tuesday.

To find [tex]\( \frac{1}{4} \)[/tex] of [tex]\( 2\frac{1}{2} \),[/tex] we multiply [tex]\( 2\frac{1}{2} \)[/tex] by [tex]\( \frac{1}{4} \)[/tex]:

[tex]\[ 2\frac{1}{2} \times \frac{1}{4} = \frac{5}{2} \times \frac{1}{4} = \frac{5}{8} \][/tex]

So, the street sweepers cleaned [tex]\( \frac{5}{8} \)[/tex] city blocks on Tuesday.

Select the equivalent expression

Answers

The equivalent expression is: (C) [tex]$\frac{1}{3^9 \cdot 6^{18}}$[/tex].

To simplify the given expression, we can apply the rules of exponents.

First, we raise 3 to the power of 3 and 6 to the power of 6, individually:

3^3 = 27 and 6^6 = 46656.

Next, we multiply these two values together:

27 * 46656 = 1259712.

Now, we raise the result to the power of -3:

1259712^(-3).

To simplify this expression, we can rewrite it as the reciprocal of the base raised to the positive exponent:

(1 / 1259712^3).

This can be further simplified by raising the base to the power of 3:

(1 / (1259712 * 1259712 * 1259712)).

Finally, we can simplify the expression by multiplying the denominators:

1 / (1954890816015872).

After opening day, theme park attendance has been tracked at a new park in Destin, FL..

Answers

Answer:

13.9% marginal

Step-by-step explanation:

The percentage of tickets sold to Seniors can be found as:

[tex]p(s)=\frac{S}{N}\cdot 100[/tex]

where

S is the number of all tickets sold to seniors

N is the total number of tickets sold

By looking at the table, we see that:

S = 32 + 14 + 54 = 100 is the number of tickets sold to seniors

N = 35 + 87 + 62 + 56 + 177 + 205 + 32 + 14 + 54 = 722 is the total number of tickets sold

Therefore, the percentage is:

[tex]p(s)=\frac{100}{722}\cdot 100 =13.9\%[/tex]

The three different types of frequencies are defined as:

- Joint: the frequency of a single category calculated with respect to the total number --> this is not the case

- Marginal: the frequency of an entire row/column over the total --> this is the case

- Conditional: the frequency of a single category over a subset of the total --> this is not the case

So, the correct answer is

13.9% marginal

HELPPP MEEEE I showed picture up there​

Answers

Answer:

        median

Step-by-step explanation:

Answer:

C is the median

Step-by-step explanation:

The center line in the box is the median of the data.  The median is the middle point of the data set.

How to find the mad of the numbers 3,7,4,2

Answers

Add them then divide by 4

Answer:

the mean absolute deviation would be 1.5.

Step-by-step explanation:

Mean: 3 + 7 + 4 + 2 = 16/4 = 4

4 - 3 = 1

4 - 7 = 3

4 - 4 = 0

4 - 2 = 2

(M.A.D) Mean Absolute Deviation: 1 + 3 + 0 + 2 = 6/4 = 1.5

What is the length of side s of the square shown below?

Answers

The length of side "s" of the square is 3 units, as it is equal to one of the legs of the 45-45-90 right triangle formed by the diagonal of the square.

To find the length of side "s" of the square shown below, we can use trigonometry, specifically the properties of right triangles and the fact that the diagonal divides the square into two congruent 45-45-90 right triangles.

Given information:

The diagonal of the square measures 6 units.

One of the angles at the top of the square is 45 degrees.

Step 1: Recognize the properties of the 45-45-90 triangle:

Since the diagonal divides the square into two congruent right triangles, and one angle is 45 degrees, we have a 45-45-90 triangle. In such a triangle, the two legs (the sides opposite the 45-degree angles) are congruent, and the hypotenuse (the side opposite the 90-degree angle) is √2 times the length of a leg.

Step 2: Use trigonometric ratios:

Let "x" be the length of one leg of the 45-45-90 triangle, which is also equal to side "s" of the square.

From the properties of the 45-45-90 triangle:

x (leg) = s (side of the square)

Hypotenuse = √2 * leg

Given that the diagonal of the square is 6 units, we can relate the diagonal to the legs:

Diagonal = 2 * leg

6 = 2 * x

Now, solve for x (the length of one leg of the triangle and side "s" of the square):

x = 6 / 2 = 3 units

So, the length of side "s" of the square is 3 units.

Therefore, from the given options the correct one is B.

For more such information on: square

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Question 2
0 Find 2/3 + 1/2​

Answers

Answer:

1 1/6

Step-by-step explanation:

Answer:

7/6

Step-by-step explanation:

2/3 + 1/2 = (2*2)/(3*2)+ (1*3)/(2*3)=4/6+3/6=(4+3)/6=7/6

Or the mixed numer: 7/6 =1 1/6

A cyclist rode at constant speed of 23 mph for 4 hours. Then, she decreased her rate of speed to 16 mph for 5 hours. How far did the cyclist ride in 9 hours?

Answers

172 miles because 23x4 is 92 and 16x5 is 80.
Final answer:

The cyclist rode a total of 172 miles in 9 hours, covering 92 miles at 23 mph for 4 hours and 80 miles at 16 mph for 5 hours.

Explanation:

To find out how far the cyclist rode in 9 hours, we need to calculate the distance covered at each speed and then add those distances together. The cyclist rode at a constant speed of 23 mph for 4 hours and then at a speed of 16 mph for 5 hours.

First, we calculate the distance at 23 mph:

Distance = Speed × Time
Distance at 23 mph = 23 mph × 4 hours = 92 miles

Next, we calculate the distance at 16 mph:

Distance at 16 mph = 16 mph × 5 hours = 80 miles

Now, we add the distances together to get the total distance:

Total Distance = Distance at 23 mph + Distance at 16 mph
Total Distance = 92 miles + 80 miles = 172 miles

Therefore, the cyclist rode a total of 172 miles in 9 hours.

The parks department is installing a new picnic area that measures 20 yards by 48 feet.
They are going to cover the new picnic area with square pieces of sod.
If the sod costs $11 per square yard, how much will the parks department pay to completely cover the picnic area with sod?

Answers

Answer:

$3520

Step-by-step explanation:

Conversion

To convert feet to yards, we divide the measurement of feet by 3 hence for dimenaion given as 48 ft, it will be 48÷3=16 yards

The area will be given by the product of length and width and since both measurements are given

A=lw

A=16*20=320 yd²

Cost will be 320*11=$3520

Therefore, the department will have to pay $3520 for the work to be completed

93, 95 , 102, 91, 104, 93, 95, 98, 97, 92 , 102 , 96, 92, 104 , 100, 98,

Find the MEAN is this data set ?
And the ABSOLUTE DEVIATION ?

Answers

The mean of a dataset is the sum of the elements divided by how many elements are present in the data set.

The sum of the elements in this dataset is

[tex]93+95+102+91+104+93+95+98+97+92+102+96+92+104+100+98=1552[/tex]

And there are 16 elements, so the mean is

[tex]\mu = \dfrac{1552}{16}=97[/tex]

The absolute deviation is computed as follows:

For each term in the dataset, we consider its distance from the mean. In formulas, we compute [tex]|x_i-\mu|[/tex] for every element [tex]x_i[/tex] We take the average of all these terms: [tex]\frac{1}{n}\sum|x_i-\mu|[/tex]  

So, following the first point, the new dataset is

[tex]\{4, 2, 5, 6, 7, 4, 2, 1, 0, 5, 5, 1, 5, 7, 3, 1\}[/tex]

And the average of this dataset is

[tex]\dfrac{4+2+5+6+7+4+2+1+0+5+5+1+5+7+3+1}{16} = \dfrac{58}{16}=3.625[/tex]

How does the photo support the sidebar about how migrant children were treated? Check all that apply.

It shows how people felt about the children.
It shows why children needed medical attention.
It shows the way migrant children dressed.
It shows how migrant children had to work.
It shows feelings of sadness from unfair treatment.

Answers

Answer:

It shows the way migrant children dressed.

It shows how migrant children had to work.

It shows feelings of sadness from unfair treatment.

Step-by-step explanation:

those 3 are correct

Answer:

It shows the way migrant children dressed.

It shows how migrant children had to work.

It shows feelings of sadness from unfair treatment.

Step-by-step explanation:

Just took test

4. A book club earns $230 for its meetings. They want to divide the money to pay for 7 meetings. When the treasurer types 230 ÷ 7 into a calculator, the number that appears is 32.8571. Where should the treasurer round the answer? Explain. Pls explain

Answers

Answer:

to the tenths place, 32.86

Step-by-step explanation: It is because money is always rounded to the tenths place

James cut out four parallelograms, the dimensions of which are shown below. Parallelogram 1 length: 12 in. width: 15 in. diagonal: 20 in. Parallelogram 2 length: 16 in. width: 30 in. diagonal: 34 in. Parallelogram 3 length: 20 in. width: 21 in. diagonal: 29 in. Parallelogram 4 length: 18 in. width: 20 in. diagonal: 26 in. James put the parallelograms together so one vertex from each paper exists on a point, as shown in the circle. 4 parallelograms are put together so that one vertex from each paper exists on a point. Which statement explains whether or not the parallelgrams can be put together so each occupies one-quarter of the area of the circle without overlapping any other pieces? Check all that apply. The quadrilaterals can be placed such that each occupies one-quarter of the circle. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 2 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 3 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.

Answers

Answer: The correct options are options 1 and 4.

The quadrilaterals cannot be placed such that each occupies one quarter of the circle because the vertices of parallelogram 1 do not form right angles.

The quadrilaterals cannot be placed such that each occupies one quarter of the circle because the vertices of parallelogram 4 do not form right angles.

Step-by-step explanation: When you have the dimensions of a quadrilateral given along with the diagonal (which is also the hypotenuse) you basically have the quadrilateral divided into two triangles. You can determine if the triangles are going to be right angled or not simply by using the Pythagoras theorem as a test.

Note also that if the angles are right angled, then the quadrilaterals can all be conveniently placed, one in each quarter of the circle without overlapping. This is possible because each quarter of a circle measures 90 degrees.

To test if the angles formed are right angled we shall take the following steps;

Pythagoras theorem states that; AC² = AB² + BC²

Where AC is the longest side (hypotenuse), and AB and BC are the other two sides.

(Quad 1) ------> 20² = 12² + 15²

400 = 144 + 225

400 ≠ 369

Both sides pf the equation are not equal, hence the vertices of parallelogram 1 do not form a right angle.

(Quad 2)------> 34² = 16² + 30²

1156 = 256 + 900

1156 = 1156

Both sides of the equation are equal, hence the vertices of parallelogram 2 forms a right  angle

(Quad 3)------> 29² = 20² + 21²

841 = 400 + 441

841 = 841

Both sides of the equation are equal, hence the vertices of parallelogram 3 forms a right angle

(Quad 4)------> 26² = 18² + 20²

676 = 324 + 400

676 ≠ 724

Both sides sides of the equation are not equal, hence the vertices of parallelogram 4 do not form a right angle.

From the results shown above, if the four parallelograms are placed in each of the four corners of the circle, they would definitely overlap because two of them do not form right angles at their vertices.

Answer:

B & E

Step-by-step explanation:

The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.

The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.

In ΔSTU, u = 23 inches, ∠T=158° and ∠U=17°. Find the length of t, to the nearest 10th of an inch.

Answers

Answer: t = 29.5 inches

Step-by-step explanation:

Given that the ΔSTU, u = 23 inches, ∠T=158° and ∠U=17°. 

We can Find the length of t by using sine rule

t/saint = u/sinU

t/sin158 = 23/sin17

t = sin158 × 23/sin17

t = 29.47 inches

t = 29.5 inches

Answer:

29.5

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x = 50

Step-by-step explanation:

The measure of the secant- secant angle is one half the difference of the measures of the intercepted arcs, that is

x = [tex]\frac{1}{2}[/tex] (130 - 30) = 0.5 × 100 = 50

Line AB is parallel to line CD. Which statement is true?
A)
Angle d is congruent to angle b.
B)
Angle d is congruent to angle c.
Angle d is congruent to angle e.
Angle d is congruent to angle f.

Answers

Answer:

Angle D is congruent to angle E

Answer:

c

Step-by-step explanation:

Ina city school, 65% of students have green eyes. 25% have red hair, and 15% have green eyes and

red hair. What is the probability (rounded to the nearest whole percent) that a randomly selected

student will have red hair given that the student has green eyes?

Answers

Answer:

23% of student will have red hair given that the student has green eyes.

Step-by-step explanation:

We are given the following in the question:

Percentage of students that have green eyes = 65%

[tex]P(G) =0.65[/tex]

Percentage of students that have red hairs = 25%

[tex]P(R) =0.25[/tex]

Percentage of students that have green eyes and red hairs = 15%

[tex]P(G\cap R) =0.15[/tex]

We have to find the conditional probability of randomly selected  student that will have red hair given that the student has green eyes.

[tex]P(R|G) = \dfrac{P(R\cap G)}{P(G)}[/tex]

Putting values, we get,

[tex]P(R|G)=\dfrac{0.15}{0.65} = 0.2307\approx 23\%[/tex]

Thus, 23% of student will have red hair given that the student has green eyes.

In a lab experiment, 1900 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 29 hours. How many bacteria
would there be after 6 hours, to the nearest whole number?

Answers

Answer:

393 bacteria

Step-by-step explanation:

First find how much it would increase per hours :

1900 / 29 = 65.5172414

Then take this and multiply it by 6 to get :

393.103448

Round it to the nearest whole number to get:

393 bacteria

Answer:2193

Step-by-step explanation:

y= 1900(2)^6/29

On a coordinate plane, line A goes through points (negative 3, 0) and (0, 4), and line B goes through points (0, negative 4) and (2, 0). Which line has the steeper slope? Line has a steeper slope

Answers

Answer:

Line B

Step-by-step explanation:

I got it right

Line B has a steeper slope than line A because its slope is greater than the slope of line A.

What is the slope of the line?

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

For line A, the two points are (-3, 0) and (0, 4).

Plugging these values into the formula, we get:

slope = (4 - 0) / (0 - (-3)) = 4 / 3

For line B, the two points are (0, -4) and (2, 0).

Plugging these values into the formula, we get:

slope = (0 - (-4)) / (2 - 0) = 4 / 2 = 2

Therefore, line B has a steeper slope than line A, because its slope is greater than the slope of line A. Line A has a slope of 4/3, while line B has a slope of 2.

We can also visualize this by drawing the lines on a coordinate plane. Line B will have a more steeply inclined slope than line A, as it will rise more quickly as it moves from left to right.

Learn more about the Slope of the Line here:

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