name the highlighted angle

Answer: Choice A) If Amber and Jorge each sell 5 trees in one week, they will earn the same amount

The amount they earn is $200 each.

========================================================

Explanation:

Let's form the equation for the amount Amber earns.

She starts off at $150, and then we add on 10x dollars. The 10x is because she earns 10 dollars per tree, and we have x be the number of trees sold.

Overall we can say her equation is y = 150+10x

This is the same as y = 10x+150

----------

Since Jorge's equation is y = 25x + 75, we can apply substitution to solve for x

y = 10x+150

25x+75 = 10x+150 .... replace y with 25x+75

25x+75-10x = 150 ... subtract 10x from both sides

15x+75 = 150

15x = 150-75 ... subtract 75 from both sides

15x = 75

x = 75/15 .... divide both sides by 15

x = 5

If they sell 5 trees per week, then Amber and Jorge earns the same amount of money.

That amount earned is

Amber: y = 10x+150 = 10*5+150 = 50+150 = 200 dollars

Jorge: y = 25x+75 = 25*5+75 = 125+75 = 200 dollars

Both earn $200 per week from selling 5 trees for that week. This helps confirm we have the right answer.

Answer: \(\dfrac{1}{56}\)

Step-by-step explanation:

Total horses = 6

Number of ways to choose top 3 finishers in order = 3! = 6

Number ways to select 3 horses out of 8 in order = \(^8P_3\)  [By permutations]

\(=\dfrac{8!}{(8-3)!}=\dfrac{8!}{5!}=8\times7\times6=336\)

Now, the probability that the gambler will win his bet =

\(\dfrac{\text{Number of ways to choose top 3 finishers }}{\text{Number ways to select 3 horses out of 8 in order}}\)

\(=\dfrac{6}{336}\\\\=\dfrac{1}{56}\)

Hence, the required probability =  \(\dfrac{1}{56}\)

The equation 6y + y = 5 can be written in a slope-intercept form as y = 5/7.

We have,

To write the equation 6y + y = 5 in slope-intercept form (y = mx + b), we need to simplify the equation and isolate the y variable on one side.

Starting with the equation 6y + y = 5:

Combining the like terms on the left side gives us:

7y = 5

To isolate the y variable, we divide both sides of the equation by 7:

y = 5/7

Now the equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.

In this case, since the equation only contains the variable y and no x, the slope (m) is not present, and the y-intercept (b) is 5/7.

Therefore,

The equation 6y + y = 5 can be written in a slope-intercept form as y = 5/7.

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Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

Answer:

Step-by-step explanation:

a) if she had 16 m of fencing

all possible outcomes

4 by 4

2 by 6  

1 by 7

the greatest should be 4 by4

b) she could alter it to 2 by 6

Answer:

224

Step-by-step explanation:

360.-136.

Answer:

X-intercept: (25,0)

Y-intercept: (0,55)

Step-by-step explanation:

Answer:

d=0.5

Step-by-step explanation:

18 x 0.5=9

9 is less than 18 and greater than 0

Answer:

9

Step-by-step explanation:

Answer:

Given Below

Step-by-step explanation:

using the formula :

y = mx + c ....where m is the slope and c is the y intercept

(a) if Slope = -3; y-intercept = 2

y = -3x + 2

(b) if Slope = -1; y intercept = 8

y = -1x + 8

y = -x + 8

(c) if Slope = 1/4; y-intercept= 0

y = x/4 + 0

y = x/4

4y = x

(d) if Slope= -5/2; y-intercept= -3

y = -5x/2 - 3

y = (-5x - 6 )/3

2y = -5x - 6

\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

Let's solve ~

The equation of line in slope - intercept form is :

\(\qquad \sf  \dashrightarrow \: y = mx + c\)

where,

Now, use these values in the equation to find their respective equations ~

Slope = -3 and y-intercept = 2

\(\qquad \sf  \dashrightarrow \: y = - 3x + 2\)

Slope = -1 and y intercept = 8

\(\qquad \sf  \dashrightarrow \: y = - x +8 \)

Slope = 1/4 and y-intercept = 0

\(\qquad \sf  \dashrightarrow \: y = \dfrac{x}{4} \)

Slope= -5/2 and y-intercept = -3

\(\qquad \sf  \dashrightarrow \: y = - \dfrac{ 5}{2} x - 3\)

The mistake you are referring to is not clear in the statement.

It is a statement which only describe the weighs of Elsa's and Carson's pumpkins.

Elsa's pumpkin weighs 7/8 Pounds, while Carson's pumpkin weights 3/4 Pounds.

Step-by-step explanation:

Given that Elsa's pumpkin is 2/4 * 1/4 pound heavier than Carson's pumpkin, and Elsa thinks that Carson's pumpkin must weigh 3/4 pound.

Simplifying the weigh of her own pumpkin,

Elsa: 2/4 * 1/4 = 2/16 = 1/8 Pounds

Carson: 3/4 Pounds

Elsa's weigh should then be

3/4 + 1/8 = 7/8 Pounds.

Approximately 95% of housing prices are between a low price of $133,000 and a high price of $161,000.

These approximate percentages are defined by the Empirical Rule, for a normally distributed variable.

Hence the prices within two standard deviations of the mean are given as follows:

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Answer:

-1.6875

Step-by-step explanation:

I'm not exactly what sure to put here as a explanation, but if you use a calc, you can see. Divide 11/16.

We can write -1 \(\frac{11}{16}\) as a decimal number as → -1.69.

The decimal numeral system is the standard system for denoting integer and non-integer numbers.

Given is to write -1 \(\frac{11}{16}\) as a decimal number.

We can write -1 \(\frac{11}{16}\) as a decimal number as -

{x} = -1 \(\frac{11}{16}\)

{x} = - (16 x 1 + 11)/16

{x} = - 27/16

{x} = - 1.69

Therefore, we can write -1 \(\frac{11}{16}\) as a decimal number as → -1.69.

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Answer:

Step-by-step explanation:

2x > 10       Divide by 2

2x/2 >10/2

x > 5

x cannot be 5 or anything smaller.

In English, x >5 reads as x must be greater than 5. (It can't be equal to 5 because 5 is not greater than 5)

The only two items that work are

8 which is greater than 5 and

30 which is also greater than 5

The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

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Answer:

S=6°

Step-by-step explanation:

\(4s +12 + 20s - 7 + 7s - 11 = 180 \\ 31s - 6 = 180 \\ 31s = 186 \\ s = 6\)

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Answer:

34.) 93 + 72 = 165

x = 165

35.) w + z + 9(w - z)

w + z + 9w - 9z

w + 9w + z - 9z

10 w - 8z

Answer:

$60

Step-by-step explanation:

45 x 100/75 = 60

Answer:11.25

Step-by-step explanation:

45×0.75 45-33.75=11.25

The distance between the two ship based on the angle of depression is 42 meters.

The distance of each ship can be calculated thus:

TanX = opposite / Adjacent

The first ship:

Tan53 = distance/ 82

distance= 108.82 meters

The second ship:

Tan39 = distance/ 82

distance= 66.40 meters

The Difference between the ships are :

Therefore, the distance between the two ships is 42 meters.

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Another way to write the compound inequality is 2 ≤ y+3 < 6. The 1st option is the answer

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4

Given: y + 3 ≥ 2 and y + 3 < 6

To write these in another way, change the inequality sign of one of the inequalities by rearranging. That is:

y + 3 ≥ 2 can be rewritten as 2 ≤ y+3. Thus, we have:

2 ≤ y+3 and y + 3 < 6

Combine the two:

2 ≤ y+3 < 6

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Answer:

About 2910 feet

Step-by-step explanation:

Answer:

2,910 ft

Step-by-step explanation:

970 × 3 = 2,910

970 yards = x feet

1 yard = 3 feet

Hope this helped :D

Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.

Let's calculate the cross-price elasticity of demand using the given information:

a. Find the percentage change in quantity demanded of good Y:

Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100

Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%

b. Find the percentage change in the price of good X:

Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100

Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%

Now, we can calculate the cross-price elasticity of demand:

Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X

Cross-Price Elasticity of Demand = 25% / 25% = 1

b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:

If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.

Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.

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Answer:

Step-by-step explanation:

Answer: 2.50$

Step-by-step explanation:

Answer:

this is the answer:

Step-by-step explanation:

Hope it helps:

Cary's and Dan's present ages are 44 and 35 years respectively.

Let the Dan's present age be x years.

According to the given question.

Cary is 9 years older then Dan.

And, after seven years the sum of their ages will be 93.

So, from the given conditon we can say that

cary's age = 9 + x

And after seven years, sum of the ages of Cary and Dan

9 + x + 7 + x + 7 = 93

⇒ 23 + 2x = 93

⇒ 2x = 93 - 23

⇒ 2x = 70

⇒ x = 70/2

⇒ x = 35

⇒ Dan's present age is 35 years.

Therefore, Cary's age = 35 + 9 = 44 years.

Hence, Cary's and Dan's present ages are 44 and 35 years respectively.

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