Translate the following word phrase into an algebraic expression: six times four less than three times x.

Heidi looks at the donkeys and

Georgia [21]

Answer:

7 donkeys

Step-by-step explanation:

Given

A system consisting of donkeys and tourists

Heads = 50

Legs = 114

Required

Calculate number of donkeys.

Represent donkeys with D and tourists with T.

By means of identification; donkeys and tourists (human) both have 1 head.

This implies that

Number of Heads = D + T

50 = D + T ----- Equation 1

While each donkey have 4 legs, each tourists have 2 legs.

This implies that

Number of legs = 4D + 2T

114 = 4D + 2T ---- Multiply both sides by ½

114 * ½ = (4D + 2T) * ½

57 = 4D * ½ + 2T * ½

57 = 2D + T ----- Equation 2

Subtract equation 1 from 2

57 = 2D + T

- (50 = D + T)

---------------------

57 - 50 = 2D - D + T - T

7 = D

Recall that D represents the number of donkeys.

So, D = 7 implies that

The total number of donkeys are 7

6 0

3 years ago

I need help solving this question

blagie [28]

The answer is C) 3x^2-6

3 0

3 years ago

Please can someone do this for me? thanks alot x

Nimfa-mama [501]

Answer:

Learning Objective: Use the mean and range to compare the spread and averages.

a) Sarah Mean = 70.9, Katie Mean = 78.9

b) Sarah Range = 15, Katie Range = 25

c) Sentences

- The mean shows, on average, Sarah was 8 seconds quicker than Katie.

- The range shows that Sarah was more consistent with her times. Katie had a larger spread of times which shows she was less consistent.

Step-by-step explanation:

Given:

Sarah's Data Set:

79, 70, 68, 75, 69, 64, 69, 75, 64, 76

Katie's Data Set:

79, 79, 76, 81, 89, 76, 64, 85, 82, 78

To Find:

The mean and range of both data sets separately.

Work:

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values. The formula for the mean of a population is $\mu = \frac{{\sum}x}{N}$ .

The formula for the mean of a sample is $\bar{x} = \frac{{\sum}x}{n}$ .

Both of these formulas use the same mathematical process: find the sum of the data values and divide by the total. For the data values given above, the solution is: $\frac{709}{10} = 70.9$

Therefore, the mean of Sarah's data set is 70.9.

For Katie's Data Set, $\frac{789}{10} = 78.9$ .

Therefore, the mean of Katie's data set is 78.9.

To fill in the summary, we have to use the data we just calculated.

That summary can be found in the answer section.

4 0

2 years ago

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Given that , the _____ justifies the conclusion that ∆ABD ≅ ∆AEC.

trasher [3.6K]

AAS Postulate

It is given that CE = BD so we know "S" (representing side) has to be in the three letter postulate.
It is also given that angle DBA and angle CEA are right angles, so therefore they are congruent. Now we know that an "A" must also be in the postulate.

Lastly, we know that the triangles have a second angle, EAB, in common because they share it overlappingly. So there must be another "A" in the postulate.

Now we need to look at the order in which it is presented. The order follows Angle, Angle, Side so the postulate must be the AAS postulate. Hope this helps!

3 0

3 years ago

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9(k-5)-12=7k-(-6 - 2k)

algol [13]

It will help you:)
~~~~~~~~~~~~~~~~
Let's solve your equation step-by-step.
Step 1: Step 1: Simplify both sides of the equation.9(k−5)−12=7k−(−6−2k)9(k−5)−12=7k+−1(−6−2k)(Distribute the Negative Sign)
9(k−5)−12=7k+(−1)(−6)+−1(−2k)
9(k−5)−12=7k+6+2k
(9)(k)+(9)(−5)+−12=7k+6+2k(Distribute)
9k+−45+−12=7k+6+2k(9k)+(−45+−12)=(7k+2k)+(6)(Combine Like Terms)
9k+−57=9k+69k−57=9k+6
Step 2: Subtract 9k from both sides.
9k−57−9k=9k+6−9k−57=6Step 3: Add 57 to both sides.−57+57=6+57=63

3 0

4 years ago

Read 2 more answers