Which one is the correct choice?

Answer:

Step-by-step explanation:

Angle ACB is congruent to angle ECD because they are vertical angles.

CE/CB = DC/AC because they are the corresponding sides of the similar triangles

So triangle ABC is similar to triangle DEC.

Based on the information in the image, we can infer that the recipe that takes the longest is the one for spaghetti sauce.

To find the recipe that takes the longest we must take into account the information of each of the recipes. In this case, we have preparation time and cooking time. To know the total time we must add these two values.

Additionally, we must establish a magnitude to be able to relate all the values, in this case the most appropriate would be the number of minutes.

So, the preparation of the spaghetti sauce takes 10 minutes and its cooking takes an hour and a half, that is, 90 minutes. On the other hand, strawberry bread takes 20 minutes to prepare and 55 to cook:

According to the above, the spaghetti sauce takes longer because it takes 25 minutes longer than the strawberry bread.

Note: This question is incomplete. Here is the complete information:

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Answer:

76

Step-by-step explanation:

Hope this helps

Answer:

A

Step-by-step explanation:

Susan has 875 grams of grapes left.

1. Susan bought a 1 kilogram bag of grapes, which is equivalent to 1000 grams (since there are 1000 grams in a kilogram).

2. Susan ate 125 grams of the grapes on her way home.

3. To find out how many grams of grapes Susan has left, we need to subtract the amount she ate from the initial weight of the bag. Therefore, we subtract 125 grams from 1000 grams.

  1000 grams - 125 grams = 875 grams

4. Thus, Susan has 875 grams of grapes left.

measurement units:

In this problem, we used grams as the measurement unit. Grams are commonly used to measure the weight of small objects like grapes. Since the problem stated that Susan bought a 1 kilogram bag of grapes, it was necessary to convert the kilogram measurement to grams.

This conversion was done by multiplying the kilogram value by 1000 (1 kilogram = 1000 grams). By using the correct measurement units, we were able to accurately calculate the amount of grapes Susan had left after eating a portion.

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Answer:

The presents age of the mom is 42 years old, and of the son is 27 years old.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

The mothers age is x.

The son's age is y.

12 years ago, a mother was twice as old as her son.

This means that:

\(x - 12 = 2(y - 12)\)

\(x = 2y - 24 + 12\)

\(x = 2y - 12\)

Their present age are in the ratio of 14:9.

This means that:

\(\frac{x}{y} = \frac{14}{9}\)

\(14y = 9x\)

Since \(x = 2y - 12\)

\(14y = 9(2y - 12)\)

\(18y - 108 = 14y\)

\(4y = 108\)

\(y = \frac{108}{4}\)

\(y = 27\)

\(x = 2*27 - 12 = 54 - 12 = 42\)

The presents age of the mom is 42 years old, and of the son is 27 years old.

Answer: Since there are 500 tumblers in each batch, there are a total of:

500 tumblers/batch × 3 batches = 1500 tumblers

To make a set of 3 tumblers with one tumbler of each color, we can choose one tumbler from each batch. There are 500 choices for the tumbler from the red batch, 500 choices for the tumbler from the yellow batch, and 500 choices for the tumbler from the purple batch. Therefore, there are:

500 choices for the first tumbler × 500 choices for the second tumbler × 500 choices for the third tumbler = 500^3 = 125,000,000 possible sets of 3 tumblers.

However, we are interested in the number of sets that can be made from the available tumblers. Each set requires one tumbler from each batch, and since there are 500 tumblers in each batch, we can make:

500 sets/batch = 500 sets/batch × 3 batches = 1500 sets

Therefore, we can make a total of 1500 sets of 3 tumblers from the available tumblers.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The gradient of a line can be found using the formula below:

\(\boxed{\text{Gradient}=\frac{y_1-y_2}{x_1-x_2} }\)

In the formula, \((x_1,y_1)\) is the first coordinate and \((x_2,y_2)\) is the second coordinate.

Gradient

\(=\frac{16-6}{2-0}\)

\(=\frac{10}{2}\)

= 5

Additional:

For a similar question on gradient of line, do check out the following!

Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept

Answer:

35,900

Step-by-step explanation:

92 is higher than 50

Answer:

Since there is so table shown here, I advice you to divide 112 with the number of flowers in each vase. Like for example lets say that the amount of flowers in each vase is 16. You would need to divide 112 and 16. Thats 7. So the "answer" would be 7. Do the same (divide 112) with the amount of flowers you have in your table.

Answer:

7. x=19      2x=38

8.x=23     3x=69

9.x=12      (50-2)/4=12

10.x=15     (31-1)/2

11.x=16      (84-4)/5

12.x=27     (55-1)/2

Step-by-step explanation:

if 2 angles are opposite, it's the same

Answer:

4y? or 2(exponet 2)y

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

The amount going to her savings accounts is $192

The given parameters are:

Drawings = 24

Rate = $12

The total amount earned from selling the drawings is:

Total = 24 * $12

Evaluate

Total = $288

She buys books with 1/3.

This means that she saved 2/3

So, we have:

Savings = 2/3 * $288

Evaluate

Savings = $192

Hence, the amount going to her savings accounts is $192

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Answer:

Question 1:

\({ \tt{(f +G)(x) = ( {x}^{2} + 2x - 3) + (3 {x}^{2} - x + 7)}} \\ \\ { \tt{ = ( {x}^{2} + 3 {x}^{2}) + (2x - x) + ( - 3 + 7) }} \\ \\(f + G)(x) = { \tt{4 {x}^{2} + x + 4 }}\)

Question 2:

\({ \tt{(f - G)(x) = ( {x}^{2} + 2x - 3) - (3 {x}^{2} - x + 7) }} \\ \\ = { \tt{( {x}^{2} - 3 {x}^{2} ) + (2x - ( - x)) + ( - 3 - 7)}} \\ \\ (f - G)(x) = { \tt{ - {2x}^{2} + 3x - 10 }}\)

Rotating the area bounded by the given curves around the designated line yields the solid's volume as \(V = \frac{9}{22}\pi\)

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere. Different forms have various volumes.

The amount

of space that a solid occupies is measured by its volume. The amount of unit cubes required to completely fill the solid serves as the measurement. The capacity of an object to hold matter is generally thought of as its volume in three dimensions.
The functions provided are,

\(`y = f(x) = \sqrt{x}``y = g(x) = x^5`\)

By rotating the area around the x-axis, the solid's volume is given by (using washer method)
\(V = \pi int_a^b [f^2(x)-g^2(x)]dx\)
evaluate the integral, limit the plugins, and
\(V = \pi int_0^1 [(\sqrt{x})^2-(x^5)^2]dx\\\\V= \pi int_0^1 [x-x^10]dx V = \pi [\frac{x^2}{2}-\frac{x^11}{11}]_0^1 V = \pi [\frac{1^2}{2}-\frac{1^11}{11}]. V = \pi [\frac{1}{2}-\frac{1}{11}] = \frac{9}{22}\pi\)

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Answer:

The values of a, b, and c determine the shape and position of the parabola. The domain of a function is the set of all real values of x that will give real values for y. The range of a function is the set of all real values of y that you can get by plugging real numbers into x. The quadratic parent function is y = x2.

Step-by-step explanation:

just read carefully and look it up on symbolab

The 46th term of the sequence is 324.

We have,

To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.

Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference

of 7.

To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:

a(n) = a(1) + (n - 1) d

where a(1) is the first term, d is the common difference, and n is the term number we want to find.

Using the given information, we have:

a(1) = 9

d = 7

n = 46

Plugging these values into the formula, we get:

a (46) = 9 + (46 - 1)7

a (46) = 9 + 45 (7)

a(46) = 9 + 315

a(46) = 324

Therefore,

The 46th term of the sequence is 324.

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Parents of children under the age of 18.

It is seldom feasible to get data from every member of a group of individuals when conducting research on them. In its place, you pick a sample. The population that will actually take part in the study is the sample. It is referred to as a sampling method. You can use one of the following two main sampling techniques in your study:

Random selection is a key component of probability sampling, which enables you to draw robust statistical conclusions about the entire group.

Non-probability sampling entails non-random selection based on practicality or other factors, making it simple to gather data.

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Answer:

A) 22.63

Step-by-step explanation:

Well as we all know to find the area of a  parallelogram u have to multiply Base by Height = Area ; Base×Height=Area

As so:    7.3×3.1=22.63

Final answer 22.63

Answer:

The answer is ∆XWY. The reason being both sides are congruent.

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Answer:

306.25-156.25/70-50 =150/20=7.5 ft/mph

Step-by-step explanation:

For every 1 mph over 50 mph a car is traveling, its braking distance increases by 7.5 ft

The required braking distance between the one that can travel at 50 mph and one traveling at 70 mph is 7.5 ft/mph.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
Distance traveled when applying brake when speed is 70 mph is 306.25,
Distance traveled when applying brake when speed is 50 mph is 156.25 ft

The rate of change of braking is given as,

= 306.25-156.25/70-50
= 150/20
=7.5 ft/mph

Thus, the required braking distance between the one that can travel at 50 mph and one traveling at 70 mph is 7.5 ft/mph.

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Answer:

Increase

Step-by-step explanation:

Precision describes the closeness of estimates from different samples, it refers to the width of the confidence interval and can aso be described as the margin of error. While the confidence level describes the accuracy.

Going for a higher confidence level will bring about a wider confidence interval, and thus lead to a less precise estimate.

Conditional probability, denoted as P(A|B), represents the probability of event A occurring given that event B has occurred. If events A and B are independent, P(A|B) = P(A) and P(B|A) = P(B).

The notation P(A|B) reads the probability of Event (A occurring given that Event B has occurred). If two events are independent, then the probability of one event occurring (does not affect the probability of the other event occurring). Events A and B are independent if (P(A|B) = P(A), P(B|A) = P(B), P(A|B) = P(B|A)).

To understand the relationship between conditional probability and independent events, let's consider two events A and B. The conditional probability P(A|B) represents the probability of event A occurring given that event B has already occurred. It measures the likelihood of event A happening under the condition that event B has already taken place.

On the other hand, if two events A and B are independent, it means that the occurrence or non-occurrence of one event has no effect on the probability of the other event happening. In other words, the probability of event A happening is not influenced by the occurrence or non-occurrence of event B, and vice versa.

Mathematically, if events A and B are independent, it implies that P(A|B) = P(A) and P(B|A) = P(B). This means that the probability of event A occurring is the same whether or not event B has occurred, and the probability of event B occurring is the same whether or not event A has occurred.

Therefore, the concepts of conditional probability and independent events are related in the sense that if two events are independent, the conditional probabilities P(A|B) and P(B|A) become equal to the unconditional probabilities P(A) and P(B) respectively.

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Answer:

20 divided by 5=4

Step-by-step explanation:

5x4=20. 20 divided by 5 is equal to 4. They are the same because they use the same number but just flip the sign and equation.

If this has helped please mark as brainliest

Answer: B' (5,8), C' (3,1)

Step-by-step explanation:

You can use the points A' (-1,8) and A (-2,-3) to find how many units point A was translated.

-2 + 1 = -1

-3 + 11 = 8

Then, you simply add 1 to the x-values of points B and C and 11 to the y-values of points B and C to get B' (5,8), C' (3,1).

I hope this helps!

Answer:

m is the slope of the line

Step-by-step explanation:

Equation of a line

The equation of a line can be written in the form:

y = mx+b

Where m is the slope of the line and b is the y-intercept. Both parameters define the behavior of the line in terms of it's increasing/decreasing trend, and where it crosses the y-axis.

As an example, let's consider the line

y =3x-8

Here, the slope is 3 and the y-intercept. It means the line is increasing from left to right and the point where it crossed the y-axis is (0,-8).

m is the slope of the line

Answer:

32n-16n

Step-by-step explanation:

Answer:

The angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.

Step-by-step explanation:

If one angle is 70 degrees, then its corresponding angle will also be 70 degrees. Therefore, the two linear angle pairs with 70 degrees are:

70 degrees and its corresponding angle (also 70 degrees)

x degrees and y degrees, where x and y add up to 180 degrees (because they are linear angle pairs)

Since x is a vertical angle to 70 degrees, it is also equal to 70 degrees. Therefore:

x = 70 degrees

y = 180 - x = 180 - 70 = 110 degrees

To find the angle z, we can use the fact that the sum of the angles around a point is 360 degrees. Since the two lines intersect and create four angles, the angles around the point where they intersect must add up to 360 degrees. Therefore:

z + 70 + 70 + 110 = 360

z + 250 = 360

z = 110 degrees

Therefore, the angles x, y, and z are 70 degrees, 110 degrees, and 110 degrees, respectively.