Sophia uses 1/2 pound of white flour to make
one loaf of bread and 1/4 pound of cake flour to
make one cake. Which shows how many cakes
and loaves of bread Sophia can make with the
amount of flour that she has?

I give lot of points

Answer:

75 miles

Step-by-step explanation:

We can use cross products to solve

3 in                   5 in

--------------- = -------------------

45 mi               x miles

3 * x = 5 * 45

3x = 225

Divide each side by 3

3x/3 = 225/3

x =75 miles

To find the actual distance between two towns on a map, use the scale provided. Set up a proportion using the scale and the map distance to find the actual distance. In this case, the actual distance is 75 miles.

To find the actual distance between two towns on a map, you can use the scale provided. In this case, the scale is 3 in: 45 mi. This means that 3 inches on the map represents 45 miles in the real world. If the map distance between the two towns is 5 inches, you can set up a proportion to find the actual distance.

Using the scale, you can set up the equation:

3 inches / 45 miles = 5 inches / x miles

Cross-multiplying, you get:

3 * x = 5 * 45

Simplifying, you get:

x = (5 * 45) / 3

x = 75 miles

Therefore, the actual distance between the two towns is 75 miles.

[tex]\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill&\$70000\\ P=\textit{original amount deposited}\\ r=rate\to 5.46\%\to \frac{5.46}{100}\dotfill &0.0546\\ t=years\dotfill &20 \end{cases} \\\\\\ 70000=Pe^{0.0546\cdot 20}\implies 70000=Pe^{1.092}\implies \cfrac{7000}{e^{1.092}}=P \\\\\\ 23488.13 \approx P~\hfill \stackrel{~\hfill \textit{the earned interest will be}}{70000-23488.13\implies 46511.87}[/tex]

Equation:

37.29 = 34.85 + 34.85(x)

Solving:

37.29 = 34.85 + 34.85x

2.44 = 34.85x

x = 0.07

The approximate sales tax rate is 7%.

Hope this helps!! :)

Answer:

im pretty sure its 0.07

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

$65/hour

Step-by-step explanation:

Let C(h) represent the total amount payable to the plumber.  Then:

C(h) = $75 + (rate)(2 hr) = $205.  Solve for the "fixed hourly rate."

Subtracting $75 from both sides, we get:

(rate)(2 hr) = $130.

Dividing both sides by (2 hr) results in (rate) = $65/hour

The total bill of $205 is composed of a $75 fixed charge and $130 for the 2 hours worked. This implies that the plumber charges an hourly rate of $65. A representative tape diagram would show these components separately, with 2 equal blocks for the hourly rate totaling to the overall cost of $205.

The situation described is a basic arithmetic problem dealing with a fixed cost ($75) and a variable cost (hourly rate, represented as h). The equation that represents this problem is 75+2h=205, derived from the fixed cost plus two times the hourly rate (since the plumber worked for 2 hours). To solve for h (the hourly rate), we subtract 75 from both sides which leaves us with 2h=130, then divide by 2, giving us h=65. This means the hourly rate, h, the plumber charges is $65.

Without seeing the options A, B, C, and D, I can't explicitly say which tape diagram would best represent this situation. However, ideally, the tape diagram should illustrate $75 as a fixed cost and then two equal blocks (each equivalent to $65) to represent the cost of each hour worked. The total of all blocks combined should equal $205, the total cost.

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Answer:

85/99

Step-by-step explanation:

[tex]\frac{171717}{200000}[/tex]

Answer:

ONE

Step-by-step explanation:

Only one.  Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

Answer:  ONE

The required, an obtuse triangle is a triangle that has one angle measuring more than 90 degrees. By definition, an obtuse triangle has exactly one obtuse angle.

An obtuse triangle, by definition, contains one obtuse angle, which is an angle greater than 90 degrees but less than 180 degrees. The obtuse angle is the largest angle in an obtuse triangle, while the other two angles are acute angles (less than 90 degrees).

Since there is only one angle in an obtuse triangle that qualifies as an obtuse angle, we can conclude that there is exactly one obtuse angle in an obtuse triangle. The remaining two angles are acute angles.

It's important to note that the sum of the angles in any triangle is always 180 degrees. In the case of an obtuse triangle, the obtuse angle occupies a portion of that sum greater than 90 degrees, leaving the remaining acute angles to share the remaining portion of the 180-degree total.

Learn more about Angle here:

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Answer:

x = 5 is incorrect

Step-by-step explanation:

12 1/2 should be -12 1/2

The solution is 10x² + 7x - 1

Step-by-step explanation:

(8x² + 10x - 10) - (-2x² + 3x - 9) = 8x² + 10x - 10 + 2x² - 3x + 9

                                                 = 10x² + 7x - 1

Step-by-step explanation:

[tex]\huge\bold\purple{ 10x^2+7x-1 }[/tex]

Volume of the cone is 100 in³

Step-by-step explanation:

Volume = 1/3 × 3.14 × 3² × 9

             = 84.78 in³ ≈ 100 in³ (rounding off to nearest hundredth)

Final answer:

The volume of a cone with a radius of 3 inches and a height of 9 inches is approximately 84.78 cubic inches.

Explanation:

To find the volume of a cone with a radius of 3 inches and a height of 9 inches, you can use the formula for the volume of a cone, which is:

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

Plugging the given values into the formula gives us:

[tex]V = (1/3) * 3.14 * (3 inches)^2 * 9 inches[/tex]

Now, calculate the square of the radius:

[tex]V = (1/3) * 3.14 * 9 * 9[/tex]

Next, multiply all the numbers together:

[tex]V = 3.14 * 27[/tex]

V = 84.78 cubic inches

Therefore, the volume of the cone is approximately 84.78 cubic inches, rounded to the nearest hundredth.

Answer:

The scale factor is 1.25 and this represents an enlargement.

Step-by-step explanation:

As shown at the figure

The side length of the first hexagon = 5

The side length of the second hexagon  = 6.25

So, the scale factor = 6.25/5 = 1.25

and the second hexagon is larger than the first hexagon.

So,

The scale factor is 1.25 and this represents an enlargement.

Answer:

Step-by-step explanation:

Answer: 94.3%

Step-by-step explanation:

Average daily attendance = total sum of attendance ÷ frequency

=754.4/8

= 94.3%

Step-by-step explanation:

[tex]10 \times 9 \sqrt{72} \\ = 90 \sqrt{36 \times 2} \\ = 90 \times 6 \sqrt{2} \\ = 540\sqrt{2} [/tex]

Final answer:

To find the product of 10 and 9√72, simplify √72 to 6√2, then multiply the outside coefficients (10 and 9) to get 90, and attach the simplified radical. The final answer is 90√2.

Explanation:

The question asks to find the product of 10 and 9√72 in simplest radical form. First, recognize that the square root of 72 can be simplified by factoring out perfect squares. The square root of 72 is equal to the square root of 36 times 2, which simplifies to 6√2. Now, multiply the outside coefficients (10 and 9) and then multiply the result by the simplified radical. The final simplification is 90√2, which is the product of 10 and 9√72 in simplest radical form.

Answer:

x= 33.8

Step-by-step explanation:

Please see attached picture for full solution.

Step-by-step explanation:

even number cards is 7 cards (2,4,6,8,10,12,14)

so probability is 7/15

The probability of pulling out an even number from a set of 15 numbers (1-15) is 8/15, but none of the provided multiple choice options match this answer.

The correct answer to this question could be found using the basic concepts of probability. Here, you have 15 cards in total. Among these 15, there are 8 even numbers: 2, 4, 6, 8, 10, 12, 14. The probability of choosing an even number (Event E) is thus Number of favourable outcomes (Event E) divided by Total number of outcomes.

This boils down to Probability (Event E) = Number of even numbers / Total numbers = 8 / 15. As such, none of the provided multiple choice answers are correct.

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Step-by-step explanation:

Set up a systems of equations (x = kids, y = adults)

3x+9y=75 --> 15x+45y=375

8x+5y=67 --> 72x+45y=603

Subtract the two equations

57x = 228

x = 4

A KID'S TICKET IS $4

Plug that in for x

4(3)+9y=75

12+9y=75

9y=63

y=7

AN ADULT'S TICKET IS $7

Answer:

36 total muffins

Step-by-step explanation:

5*4=20

8*2=16

20+16=36

Hey there!

To write an expression to represent this:

We know that the four red plates each have 5 muffins, and 4 x 5 = 20.

So we can say 20 + 2y is the expression, because we add 20 to the muffins on the two yellow plates.

The number of muffins on each yellow plate is represented by the variable y.

If each yellow plate has 8 muffins, so y = 8, the expression will look like this:

20 + 2(8)

Multiply 2 x 8.

20 + 16

Add 20 + 16.

36

Belle baked 36 muffins total.

Hope this helps!

Answer:

In this equation, when x = -8 , Y = 2

Answer check using either equation =

(1) 2x + y = -7y   ===> 2(-8) + 2 = -7(2)  ===>  -14 = -14

(2) Y= x + 10  ===>  2 = -8 + 10  ===> 2 = 2

Step-by-step explanation:

Assuming that you are looking for "x" and "y", Let

2x + y = -7y  ................. (1)

Y= x + 10     ................. (2)

From equation (2), Y = x + 10, therefore substitute for "Y" in equation (1) to get the value of "x"

2x + x + 10 = -7(x + 10)

3x + 10 = -7x - 70

gather like terms on each side.

3x + 7x = -70 - 10

10x = -80

divide through by 10

x = -8

Now substitute for "x" in equation (2)

Y = x + 10

Y = -8 + 10

Y = 2

Answer:

No, 40(2x - 16y) is not equivalent to 42 - 56y

Step-by-step explanation:

40(2x -16y)

If we expand the above expression, we will have

80x - 16y which is not equivalent to 42 - 56y

Answer:

X=0.8 or x=4/5

Step-by-step explanation:

Answer:

x = 0.8

Step-by-step explanation:

Step 1:  Divide both sides by 5

4 / 5 = 5x / 5

0.8 = x

Answer:  x = 0.8

Answer:

Use compatible numbers that are close to the actual numbers

Choose 36 for 35 3/4 and 6 for 5 7/8 because the divide evenly.

Step-by-step explanation:

Compatible numbers are numbers that are close to the actual values of a particular number. They make estimating easier when yo udo the different operations.

We choose 36 for 35 3/4 because 36 is closer to its value that 34. Conveniently, 5 7/8 is closer to 6 than 5, and they divide evenly. So a best estimate for the number of rows Holly can make would be:

36/6 = 6 rows.

Answer: Warming up and drinking enough water

Step-by-step explanation:

You should really ask yourself this, but you can talk about your perserverance, and not being afraid to try something new.

Answer:

160 beads

Step-by-step explanation:

let x be the number of beads to make a bracelet, then

It requires 5x beads to make a necklace and the sum is

x + 5x = 192, that is

6x = 192 ( divide both sides by 6 )

x = 32

Number of beads to make a necklace = 5x = 5 × 32 = 160

Answer:

160 beads

Step-by-step explanation:

Beads for bracelet: b

Beads for necklace: 5b

b + 5b = 192

6b = 192

b = 32

Beads for necklace: 5b = 5(32)

= 160

Step-by-step explanation:

Sequence 1:

term1=26

term2=26-3=23

term3=23-3=20

term4=20-3=17

term5=17-3=14

sequence2:

term1=-3

term2=-3+10=7

term3=7+10=17

term4=17+10=27

term5=27+10=37

The first sequence starts at 26 and subtracts 3 to find the next terms: 26, 23, 20, 17. The second sequence starts at -3 and adds 10 to find the next terms: -3, 7, 17, 27.

The first term of the sequence is 26. To find the next term, subtract 3 from 26, which gives you 23. Continuing this pattern, the second term is 23. To find the third term, subtract 3 from 23, which gives you 20. The fourth term is 20. To find the fifth term, subtract 3 from 20, which gives you 17. The fifth term is 17.

The first term of the second sequence is -3. To find the next term, add 10 to -3, which gives you 7. Continuing this pattern, the second term is 7. To find the third term, add 10 to 7, which gives you 17. The fourth term is 17. To find the fifth term, add 10 to 17, which gives you 27. The fifth term is 27.

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Answer:

[tex]m\angle A=98^o[/tex]

Step-by-step explanation:

we know that

In a parallelogram opposite angles are congruent and consecutive angls are supplementary

In this problem

we have the parallelogram  ABCD

so

[tex]m\angle A=m\angle C[/tex] ----> by opposite angles

[tex]m\angle B=m\angle D[/tex] --> by opposite angles

and

[tex]m\angle A+m\angle B=180^o[/tex] ----> by consecutive angles

[tex]m\angle B+m\angle C=180^o[/tex] ----> by consecutive angles

we have

[tex]m\angle C=98^o[/tex]

therefore

[tex]m\angle A=98^o[/tex]

Answer:

Step-by-step explanation:

help me

Answer:

Length:15 cm

Width: 12 cm

Step-by-step explanation:

The complete question is

Amanda uses a rectangular canvas for a painting. The length is 6x - 3 centimeters. The width is 2x + 6 centimeters, and is 4/5 of the length. What are the dimensions of the canvas?

Let

L ----> the length of the rectangular canvas

W ---> the width of the rectangular canvas

we know that

The width is 4/5 of the length

so

[tex]W=\frac{4}{5}L[/tex] ----> equation A

substitute the given values in equation A

[tex](2x+6)=\frac{4}{5}(6x-3)[/tex]

solve for x

[tex]10x+30=24x-12\\24x-10x=30+12\\14x=42\\x=3[/tex]

Find the dimensions of the canvas

substitute the value of x

[tex]L=6(3)-3=15\ cm[/tex]

[tex]W=2(3)+6=12\ cm[/tex]

Answer:

For this question, x = 16

Step-by-step explanation:

x/20 = 4/5

if we cross multiply, we will have

x × 5 = 4 × 20

5x = 80

x = 80/5

x = 16

Answer: 16

Step-by-step explanation:

X/20 = 4/5

Cross multiply

(5×X) = (20×4)

5x = 80

x = 80/5

x = 16

Answer:

The height is 67 cm

Step-by-step explanation:

Remember that

[tex]1\ in=2.54\ cm[/tex]

we know that

The size of a TV is measured by its diagonal

Convert 60 inches to centimeters

[tex]60\ in=60(2.54)=152.4\ cm[/tex]

Applying the Pythagorean Theorem

[tex]D^2=H^2+W^2[/tex]

where

D is the diagonal

H is the height

W is the width

we have

[tex]D=152.4\ cm\\W=137\ cm[/tex]

substitute

[tex]152.4^2=H^2+137^2[/tex]

solve for H

[tex]H^2=152.4^2-137^2\\H^2=4,456.76\\H=67\ cm[/tex]

Step-by-step explanation:

The Mathematical transformation of the given statement would be:

[tex]2x - 3 = y[/tex]