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IgorC
8 days ago
8

Store A advertises a sale for 3 loves of bread for $5.94. Explain how to use an equivalent rate to find the unit price of the br

ead at store A.
Mathematics
2 answers:
PIT_PIT [11.9K]8 days ago
5 0

Hi there,

To determine the unit price of the loaves of bread, simply divide the total cost by the number of loaves purchased.

5.94 / 3 = $1.98

Thus, each loaf (unit price) costs $1.98!

Svet_ta [12.2K]8 days ago
4 0
To determine the unit price when 3 loaves of bread are priced at $5.94, simply divide the total cost by the number of loaves. This results in $5.94 ÷ 3 ≈ $1.98. Therefore, the cost per loaf of bread is $1.98.
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The measures in the table describe the weights of animals that visited a vet on one day, in pounds. Mean Median Mode Mean Absolu
lawyer [12109]

Answer: On average, a pet's weight during this vet visit is approximately 2.4 pounds away from 12.9 pounds.

If the MAD for another day's weights was 1.5, then that day’s weights would be less variable compared to the weights of pets seen today.

Step-by-step explanation:

Given: The data in the table outlines the weights of animals visiting a vet one day, in pounds.

Mean = 12.9

Median= 12.0

Mode = 12.0

Mean Absolute Deviation = 2.4

It’s understood that the mean absolute deviation (MAD) of a dataset indicates the average distance between each data point and the mean. It reflects the variation present in the dataset.

Therefore, the average weight of a pet visiting this vet on this day is about 2.4 pounds away from 12.9 pounds.

Moreover, if another day had a MAD of 1.5, and since 1.5 < 2.4,[TAG_42]]

it implies that the weights on that day would be less variable compared to those of pets encountered on this day.

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22 days ago
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Think about the function f(x) = 10 - x3. What is the input, or independent variable? f(x) x y What is the output, or dependent v
Zina [11999]
F(2) denotes function 2 f(2)=f(X))
8 0
16 days ago
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The number of pages in the U.S. tax code exceeds the number of pages in the King James Bible by 18,528. The combined number of p
Leona [12115]
Let x represent the number of pages in the U.S. Tax Code and y denote the pages in the King James Bible.

According to the provided information,
x= y+18,528 ⇒ y=x-18,528
x+y = 21,472 ⇒ x+(x-18,528) = 21,472 ⇒ x+x-18,528 = 21,472 ⇒ 2x= 18,528+21,472 ⇒ 2x = 40,000 ⇒ x=40,000/2 = 20,000 pages

Therefore, the U.S. tax code consists of 20,000 pages.
6 0
1 month ago
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Graph a system of equations to solve log (−5.6x + 1.3) = −1 − x. Round to the nearest tenth. From the least to the greatest, the
zzz [11851]

Response:

  • Refer to the attached graph
  • x₁ ≈ - 2.1
  • x₂ ≈ 0.2

Clarification:

To analyze log (−5.6x + 1.3) = −1 − x visually, graph these equations on the same coordinate system:

  • Equation 1: y = log (5.6x + 1.3)
  • Equation 2: y = - 1 - x

The first equation can be graphed using these characteristics of logarithmic functions:

  • Domain: values must be positive ⇒ -5.6x + 1.3 > 0 ⇒ x < 13/56 (≈ 0.23)

  • Range: all real values (- ∞, ∞)
  • x-intercept:

        log ( -5.6x + 1.3) = 0 ⇒ -5.6x + 1.3 = 1 ⇒ x = 0.3/5.6 ≈ 0.054

  • y-intercept:

       x = 0 ⇒ log (0 + 1.3) = log (1.3) ≈ 0.11

  • Choose additional values to create a table:

        x            log (-5.6x + 1.3)

        -1           0.8

        -2           1.1

        -3           1.3

  • This graph is shown in the attached image: it's represented by the red curve.

Graphing the second equation is simpler as it forms a straight line: y = - 1 - x

  • slope, m = - 1 (the coefficient of x)
  • y-intercept, b = - 1 (the constant term)
  • x-intercept: y = 0 = - 1 - x ⇒ x = - 1
  • This graph is indicated by the blue line in the image.

The resolution to the equations corresponds to the points where the two graphs intersect. The graphing method thus allows you to determine the x coordinates of these intersection points. Ordered from smallest to largest, rounded to the nearest tenth, we have:

  • x₁ ≈ - 2.1
  • x₂ ≈ 0.2

8 0
1 month ago
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Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC
Svet_ta [12291]

We are given the triangle

△ABC, with m∠A=60° and m∠C=45°, and AB=8.

To start, we will calculate all angles and sides.

Finding angle B:

The total of all angles in a triangle equals 180.

m∠A + m∠B + m∠C = 180.

Substituting the known values,

60° + m∠B + 45° = 180.

This gives us m∠B = 75°.

Calculating BC:

Using the law of sines,

\frac{AB}{sin(C)}=\frac{BC}{sin(A)}

We can substitute in the values.

\frac{8}{sin(45)}=\frac{BC}{sin(60)}

BC=\frac{8}{sin(45)} \times sin(60)

BC=9.798

Finding AC:

\frac{AB}{sin(C)}=\frac{AC}{sin(B)}

Now we'll input the values.

\frac{8}{sin(45)}=\frac{AC}{sin(75)}

AC=\frac{8}{sin(45)} \times sin(75)

AC=10.928

Calculating Perimeter:

p=AB+BC+AC

We substitute values here as well.

p=10.928+8+9.798

p=28.726

Calculating Area:

Using the area formula,

A=\frac{1}{2}AB \times AC \times sin(A)

we can then insert values.

A=\frac{1}{2}8 \times 10.928 \times sin(60)

A=37.85570...............Answer

6 0
1 month ago
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