Justin jogs 1 and 3/4 miles from his house. He then jogs 3 and 3/5 miles farther. How many miles has he jogged in all?

Final answer:

About 52 dog owners would be expected to brush their dog's teeth.

Explanation:

The question is asking to estimate the number of dog owners who brush their dogs' teeth based on the given percentage from a study. To calculate this, you would take the total number of dog owners and multiply it by the percentage that brush their dogs' teeth. In this case, there are 578 dog owners and 9% of them are expected to brush their dogs' teeth.

Here is the calculation:

Therefore, about 52 dog owners out of 578 are expected to brush their dogs' teeth.

Answer: Total purchase price of this watch is $9300.

Step-by-step explanation:

Since we have given that

Retail price of watch = $8000

Rate of sales tax = 6%

Amount of sales tax becomes

[tex]\dfrac{6}{100}\times 8000\\\\=\$480[/tex]

Rate of excise tax = 10%

Amount of excise tax is given by

[tex]\dfrac{10}{100}\times 8000\\\\=\$800[/tex]

So, Amount of watch after sales tax becomes

[tex]\$8000+\$480+\$800\\\\=$9280[/tex]

Amount of additional shipping charge = $20

Amount of watch after additional shipping charge becomes

[tex]\$9280+20\\\\=\$9300[/tex]

Hence, Total purchase price of this watch is $9300.

Answer:

62

Step-by-step explanation:

My teacher told me

To dilate the point (9, 6) using a scale factor of 1/3, multiply the x-coordinate and y-coordinate by the scale factor to find the new coordinates which are (3, 2).

To dilate the point (9, 6) using a scale factor of 1/3, we can multiply the x-coordinate and y-coordinate of the point by the scale factor to find the new coordinates.

For the x-coordinate, we have (9) * (1/3) = 3.

For the y-coordinate, we have (6) * (1/3) = 2.

So the dilated point is (3, 2).

To find two equivalent fractions for 3/4 and 4/5 using multiplication, multiply both the numerator and denominator of each fraction by the same number.

To find two equivalent fractions for 3/4 and 4/5 using multiplication, we can multiply both the numerator and denominator of each fraction by the same number. Let's choose 2 as the multiplying factor.

For 3/4, multiplying both numerator and denominator by 2 gives us: 6/8.

For 4/5, multiplying both numerator and denominator by 2 gives us: 8/10.

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Answer: Width of canvas = 9 inches

Area left for painting after painting the border = 70 square inches.

Explanation :

Since we have given that

Area of painting = 108 square inches

Length of canvas = 12 inches

As we know that

[tex]\text{Area of rectangle} = length\times breadth[/tex]

[tex]108=12\times breadth\\\\\frac{108}{12}=breadth\\\\9=breadth[/tex]

So, breadth of canvas = 9 inches .

Now, Chloe paints a 1 inch wide blue border on the canvas.

[tex]\text{So, remaining length left for painting after painting the border} = 9-1-1=9-2=7\text{ inches}[/tex]

[tex]\text{ Remaining breadth left for painting after painting the border }= 12-1-1=12-2= 10\text{ inches}[/tex]

[tex]\text{So , area of remaining portion }= length\times breadth \\\\ \text{ area of remaining portion }=7\times 10\\\\\text{ area of remaining portion }=70 \text{ square inches}[/tex]

Hence, remaining area = 70 square inches .

Answer:

9 and 70

Step-by-step explanation:

The width of the canvas is 9 inches. Chloe paints a 1-inch-wide blue border on the canvas. The area left for painting after painting the border is 70 square inches.

Answer:

Step-by-step explanation:

We know that:

So, the ratio between the circumferences is 4 and the diameter of the second circle is 20. In this case, we have to use the ratio between those two circumferences, because that's what is our given data.

[tex]\frac{C}{C'}=\frac{d}{d'}\\5=\frac{d}{20}\\ 100=d[/tex]

From this proportion, we deduct that the diameter of the initial circle is 100. Now, we know that the radius in a circumference is have the diameter. Therefore, the radius is:

[tex]r=\frac{d}{2}=\frac{100}{2}=50[/tex]

Since, translation and rotation both are rigid transformations which maps only congruent images. They do not change the size and shape of pre-image.

Thus, here ΔABC is congruent to ΔDEF.

Since, translation and reflection both are rigid transformations which maps only congruent images. They do not change the size and shape of pre-image.

Thus, here ΔABC is congruent to ΔDEF.

Here rotation is a rigid transformation which maps only congruent images but dilation is not a rigid transformation because it produces similar images for scale factor other than 1 (with scale factor 1 it also produce congruent images) .

Thus, here ΔABC is not congruent to ΔDEF.

The determination of congruency between Triangle DEF and Triangle ABC depends on the nature of the transformations applied to Triangle ABC. If these transformations are rigid motions, then Triangle DEF will be congruent to Triangle ABC.

The question concerns whether Triangle DEF is congruent to Triangle ABC after undergoing a series of transformations. Congruent triangles are those that are identical in terms of size and shape, meaning their corresponding sides and angles are equal.

According to the given information, to determine congruency, we must consider the properties of the transformations involved. If the transformations applied to Triangle ABC are rigid motions (such as rotation, reflection, or translation), which do not alter the shape or size of figures, then Triangle DEF will be congruent to Triangle ABC. If however, the transformations include dilation or other non-rigid transformations that change the size but not the shape, Triangle DEF would not be congruent, although it could be similar to Triangle ABC.

Since the question provided involves linear transformations that transform lines into lines and take parallel lines to parallel lines, it is likely referring to rigid motions. Therefore, it suggests that Triangle DEF should be congruent to Triangle ABC, assuming that the series of transformations includes only those that preserve lengths and angles.

Answer:

First question: 5. Second question:

You can do any really high number instead of doing the math.

a^2 + b^2 = c^2. A being side one, B being side 2, and C being side 3. Pythagorean theorem

1000 meters

Step-by-step explanation:

For the first question, we can use the Pythagoras theorem. make a square that is a 4 by 3. Then cut the square in half diagonally. Now to 4^2 + 3^2 which is 25. The square root of 25 is 5 so in a straight line, it'll be 5.

You can do any high number instead of calculating the minimum height.

Same as first with different inputs.

Same as first with different inputs.