-
Erin, who is 1.60 m tall, casts a shadow that is
1.25 m long. Her shadow extends to the end
of a tree's shadow when she stands 4.75 m
from the tree. What is the height of the tree?

Answer:

Step-by-step explanation:

[tex]5x-11=34\qquad\text{add 11 to both isdes}\\\\5x-11+11=34+11\\\\5x=45\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{45}{5}\\\\x=9[/tex]

Answer:

x = 9

Add all numbers up get 45

5x = 45

divide both sides and get 9

Answer: $1875

Step-by-step explanation:

If 80% of original price= $1500

Let the remaining 20% be x

Write as:

80/100 = $1500

20/100 = x

Cross multiply

0.8x = 1500 x 0.2

0.8x= 300

Divide both sides by 0.8

x = 300/0.8

x = 375

Therefore, 80% = 1500; 20% = 375

Price of $1500 TV without membership = $1,500 + $375

=$1,875

Answer:

It should be C. The expression is (p x 80/100) +10p and the cost is 1,300

Step-by-step explanation:

sorry if it’s wrong

Answer:

25

I don't know how to explain because I put random numbers and multiplied it by .6 and I found it once it equaled 15. Sorry I couldn't explain it more.

Answer:

see below

Step-by-step explanation:

4(2x+4)+5(4x+3)

Distribute

4*2x+4*4  +5*4x+ 5*3

8x+16 +20x +15

Combine like terms

28x +31

Both area and perimeter are the same. They have the same shape and dimensions.

This is because congruency means that the two figures are identical, one is the clone of the other.

Two congruent figures have identical shape and size, meaning their perimeters and areas are both equal.

If two figures are congruent, this means that they are identical in shape and size. Congruent figures are essentially the same figure superimposed from one location to another. According to the definition of congruent figures, corresponding angles and sides are equal. Therefore, since the dimensions of congruent figures are the same, the perimeters of the figures must also be the same. This is because perimeter is a linear measure, which is the sum of the lengths of the sides of a figure.

Similarly, since congruent figures are identical in size, their areas must also be the same. Area is a measure of the extent of a 2-dimensional surface enclosed by a figure. Since the figures are congruent, they cover the same amount of 2-dimensional space, thus their areas are equal. Theorems 9 and 12 mentioned in the reference material confirm these properties.

Answer: c=35

Step-by-step explanation:

to find the slope, you do y2-y1/x2-x1. So you will set up your equation like this:

25-c/21-15 = -5/3

this slope has been simplified by dividing by 2, because 21-15=6 and they simplified it to 3. So the original answer for 25-c was -10. So this means that c=35.

Answer:

No, 4x - 12 ≠ 4x + 6

Step-by-step explanation:

Step 1:  Distribute both expressions

4(x - 3)

(4 * x) + (4 * -3)

(4x) + (-12)

4x - 12

6x - 2(x - 3)

6x - (2 * x) - (2 * -3)

6x - (2x) - (-6)

6x - 2x + 6

4x + 6

Answer:  No, 4x - 12 ≠ 4x + 6

Answer:

Answer:7,200 mph

Step-by-step explanation:

36,000 divided by 5

Answer:

(Depends on the measurement of speed you are asking for)

7,200 Miles per hour, or 11587.28 Kilometers/hour.

Step-by-step explanation:

Divide 36,000 miles by 5 hours, and you get 7,200 per hour out of the five. Now you have the speed in miles per hour.

Hope that answered your question :)

Answer:

20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk is used to make 60 quarts of 4% butterfat milk.

Step-by-step explanation:

We are given the following in the question:

Let x quarts of 6% butterfat milk be used and y quarts of 3% butterfat milk be used to make 60 quarts of 4% butterfat milk.

Thus, we can write the equation:

[tex]6\%\times x + 3\%\times y = 4\%\times 60\\6x + 3y = 240[/tex]

Total amount of 3% butterfat milk = 60

Thus, we can write the equation:

[tex]x+y = 60[/tex]

Solving the two equation, we get,

[tex]6x + 3y-(3x+3y) = 240 - 3(60)\\3x = 240-180\\3x = 60\\x = 20\\y = 60-20 = 40[/tex]

Thus, 20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk is used to make 60 quarts of 4% butterfat milk.

To get 60 quarts of 4% butterfat milk, mix 20 quarts of 6% butterfat milk with 40 quarts of 3% butterfat milk by setting up and solving a system of linear equations.

To solve this problem, we can set up a system of equations based on the quantities and percentages of butterfat in the milk types. Let's call the amount of 6% butterfat milk x quarts and the amount of 3% butterfat milk y quarts. According to the question, we want to end up with 60 quarts of 4% butterfat milk. Therefore, we have:

First, we multiply the second equation by 100 to simplify the percentages:

6x + 3y = 4 × 60

Simplify the right side:

6x + 3y = 240

Now, divide by 3 to get:

2x + y = 80

We can subtract the first total volume equation from this new equation:

(2x + y) - (x + y) = 80 - 60

Omit the similar terms to solve for x:

x = 20

We substitute x back into the initial total volume equation:

20 + y = 60

And solve for y:

y = 60 - 20

y = 40

Therefore, to get 60 quarts of 4% butterfat milk, 20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk must be mixed together.

The equation of the line in slope intercept form is [tex]y=2x+1[/tex]

Explanation:

The point A is [tex](1,3)[/tex]

The equation of line for B is given by [tex]y=2x-2[/tex]

We need to determine the equation of line in slope intercept form passing through the point A and parallel to line B.

Since, the lines of equation are parallel, their slopes are same.

Thus, the slope is [tex]m=2[/tex]

Now, let us substitute the point [tex]A(1,3)[/tex] and slope [tex]m=2[/tex] in the slope - point formula, we have,

[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

 [tex]y-3=2\left(x-1\right)[/tex]

 [tex]y-3=2x-2\right)[/tex]

       [tex]y=2x-2+3\right)[/tex]

       [tex]y=2x+1[/tex]

Thus, the equation of the line in slope - intercept form is [tex]y=2x+1[/tex]

Answer:

5

Step-by-step explanation:

Answer: its 5

Step-by-step explanation:

the coefficient is the leading number

Answer:

45 times 35 = 1575 and 1575 divided by 344 = 4.578488372

Answer: 4.58

Step-by-step explanation:

45 times 35 = 1, 575

1,575/344 = 4.58 to 2 decimal place

The area is 9,600 square yards.

Carrie's walk forms a right-angled triangle, with the two legs being her north and west paths, and the hypotenuse being the diagonal path back to the start. To find the area of the triangle, we can apply the formula for the area of a right-angled triangle, which is (1/2) * base * height. In this case, the base is her westward walk (80 yards), and the height is her northward walk (240 yards).

Using the formula, the area equals: (1/2) * 80 yards * 240 yards, yielding an area of 9,600 square yards.

Answer:

The radius is 9 and the diameter is 18.

Step-by-step explanation:

Because the radius is half the diameter which is 18.

Answer:

the diameter is 18 cm and the radius is 9

Answer:

x≤4.2

Step-by-step explanation:

12.6 ≤ 3x

1. Divide both sides by 3

2. 12.6÷3= 4.2

x≤4.2

Answer:

x + 4y = -1

4x + 2y = 10

-8x - 4y = -20

x + 4y = -1

-7x = -21

x = 3

3 + 4y = -1

4y = -4

y = -1

Answer:

Step-by-step explanation:

Let cost of popcorns be x and pretzels be y.

Then the equations are:

9 bags of popcorn and 2 pretzels, costing a total of $80

7 bags of popcorn and 4 pretzels, costing a total of $72

Answer:9

Step-by-step explanation:

In questions it's given that ∠B = 85°, which is an error and correct answer is ∠B = 95°.

Step-by-step explanation:

We know that sum of alternate angles in a parallelogram is 180°. Using this property, we will solve the question! We have a parallelogram inscribed in a circle with measure of angles as  ∠A=100° and ∠D=85°. Now, according to property : ∠A + ∠C = 180° and ∠D + ∠B = 180°.

Let's consider for ∠D + ∠B = 180°:

⇒ 85° + ∠B = 180°

⇒∠B =  180° - 85°

⇒∠B = 95°

Also, for ∠A + ∠C = 180°:

⇒ 100° + ∠C = 180°

⇒∠C =  180° - 100°

⇒∠C = 80°

In questions it's given that ∠B = 85°, which is an error and correct answer is ∠B = 95°.

Answer:

0.86liters

Step-by-step explanation:

860cm³=0.86dm³=0.86liters

The capacity of the container is 860 cm³.

To find the capacity of the container, we need to understand that the volume and the capacity are essentially the same thing when referring to containers.

The volume of a container is the amount of space it occupies, and the capacity is the amount of fluid or substance it can hold. Since the volume is already given in cubic centimetres (cm³), which is a unit of volume, it directly translates to the capacity of the container.

Therefore, without the need for any conversion or further calculation, we can state that the capacity of the container is 860 cm³. If one were to express this capacity in litres, knowing that 1 liter is equivalent to 1000 cm³, we could perform a conversion:

[tex]\[ \text{Capacity in liters} = \frac{\text{Capacity in cm}^3}{1000} \][/tex]

[tex]\[ \text{Capacity in liters} = \frac{860}{1000} \][/tex]

[tex]\[ \text{Capacity in liters} = 0.86 \][/tex]

So, the capacity of the container is 0.86 litres, which is equivalent to 860 cm³.

8 feet and 6 inches is equal to 102 inches, so yes

Answer: No. if your talking about 100 inches then 8 feet is 96 inches +6 = 102 inches so therefore 8 feet 6 inches is grater than 100 inches.

Answer: 34

Step-by-step explanation:

Final answer:

To estimate 34.02, we would round it to the nearest whole number which is 34.

Explanation:

When asked to estimate 34.02, we look for a number that is close in value but simpler or more convenient to use.

Estimation often involves rounding to a certain place value depending on the level of precision required.

In this case, we can round to the nearest whole number. 34.02 is very close to 34, so the estimated value is 34.

This is based on traditional rounding rules where if the digit right after the place you are rounding to is less than 5, you keep the digit the same. If it is 5 or more, you round up. Since the decimal part .02 is less than .05, we do not round up.

Answer: 1/5

Step-by-step explanation:50%50=1

100%50=0.5

The correct statement about the diagram is,

⇒ Measure of angle JKH + measure of angle JKL = 180 degrees

⇒ Measure of angle JKL + measure of angle JLK + measure of angle KJL = 180 degrees

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

The diagram is shown.

Now, By definition of linear pair of angles, we get;

⇒ m ∠JKH + m ∠JKL = 180°

And, The sum of angles in triangle is 180°

Hence, We get;

⇒ m ∠ JKL + m ∠ JLK + m ∠ KJL = 180 degrees

Thus, The correct statement about the diagram is,

⇒ Measure of angle JKH + measure of angle JKL = 180 degrees

⇒ Measure of angle JKL + measure of angle JLK + measure of angle KJL = 180 degrees

Learn more about the angle visit:;

https://brainly.com/question/25716982

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Step-by-step explanation:

Based on the given points, we can plot them on a Cartesian plane and determine the resulting shape.The points are:

A: (-5, -6)

B: (0, 0)

C: (-6, -3)

D: (-9, -6)If we connect these points in the order ABCDA, we form a parallelogram.The parallelogram appears in the third quadrant (Quadrant III) of the Cartesian plane, as all the given points have negative x and y coordinates.

The ratio of the volume of the cone to the cylinder is 2/3.

We have,

The volume of a cone is given by the formula:

= (1/3)πr²h

The volume of a cylinder is given by the formula:

= πr²h

The radius of both shapes as r, and since the cone is twice as tall as the cylinder,

h(cone) = 2 h(cylinder)

Ratio = V(cone) / V(cylinder)

= [(1/3) π r² (2h(cylinder)] / (πr²h(cylinder))

= (2/3) h(cylinder) / h(cylinder)

= 2/3

Therefore,

The ratio of the volume of the cone to the cylinder is 2/3.

Learn more about cones here:

https://brainly.com/question/13798146

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Answer:

see the procedure

Step-by-step explanation:

we have

[tex]y=-4\sqrt{x}[/tex]

we know that

The domain of a function is the set of all possible values of x

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

In this problem

The domain for x is the interval [0,∞)

All real numbers greater than or equal to zero

The range for y is the interval (-∞,0]

All real numbers less than or equal to zero

The graph in the attached figure

therefore

On a coordinate plane, an absolute value curve opens down and to the right in quadrant 4 and starts at (0, 0)

Answer:

Option C on Edge

Step-by-step explanation:

you're welcome

Answer:

Coefficient of y is 1 since the answer is y-1

Step-by-step explanation:

In the attached file

Answer:

x < - 1

Step-by-step explanation:

Given

- 4x > 4

Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.

x < - 1

The first student read faster than the second student.

Step-by-step explanation:

Step 1:

To determine how long each student takes to read a book, we divide the time taken to read by the number of books read in that period.

Time taken to read a book = [tex]\frac{time taken to read}{number of books read in that period}[/tex].

In the given table, the second column values are times taken to read and the first column represents the number of books read in that period.

Step 2:

For the first student, the time taken is calculated.

The first student's time taken to read a book = [tex]\frac{30}{3}[/tex] = [tex]\frac{50}{5}=\frac{70}{7}[/tex] = 10 minutes to read a book.

Step 3:

Similarly, the time taken to read a book is calculated for the second student.

The first student's time taken to read a book = [tex]\frac{24}{2}=\frac{48}{4}=\frac{72}{6}[/tex] = 12 minutes to read a book.

Step 4:

Now we compare the times taken. The first student read a book in 10 minutes while the second student took 12 minutes for a book. So the first student read faster.

Answer:

4+7+3+5=19

Step-by-step explanation: