Myra is evaluating the expression –31.7 + 4.5x, when x = 2.1. –31.7 + 4.5(2.1) –27.2(2.1) –57.12 What was Myra’s error?

Answer:she earned 196$ in a week in which she worked 28 hours. she earned 784$ in a month which she worked 112 hours.

196$ and 784$ are your answers

Step-by-step explanation:

Answer:

Hey there!

Here's the first question.

Let l be the length, and w be the width.

Thus, we have 5w=l+4, or 5w-4=l.

The perimeter is 76, so 2l+2w=76.

We see that l=5w-4, so substitute 5w-4 for l.

2(5w-4)+2w=76

10w-8+2w=76

12w-8=76

12w=84

w=7

Thus, the length is 5(7)-4, or 31.

Option C is correct.

Here is the second question)

Let x be the larger angle and y be the smaller angle.

Supplementary angles add to 180 degrees.

x+y=180

x=3y

Similar to the first problem change all the x's into 3y's

3y+y=180

4y=180

y=45

x=135

So the two angles are 45 and 135 and they add to 180 degrees (Choice D)

Hope this helps :)

Answer:

x^2 - 3x + 9/4 = 5 + 9/4.

Step-by-step explanation:

To find what to add to both sides to make the equation a square, you need to do (b / 2)^2.

In this case, b = -3.

(-3 / 2)^2

= 9 / 4.

x^2 - 3x - 5 = 0

x^2 - 3x = 5

x^2 - 3x + 9/4 = 5 + 9/4.

Hope this helps!

Answer:

31°

Step-by-step explanation:

Answer:

x=31

Step-by-step explanation:

The smaller triangle with the marked angle is basically a dilated version of the larger triangle. Basically it's just a shrunken version of the large one but you preserve/keep the angles. X=31, Y=62 and Z=14

Answer:

20 deg

Step-by-step explanation:

A 12-hour analog clock face has 12 hour markers in 360 degrees, so the angle between one hour and the the next hour is 30 deg.

At 3:00 the hour hand makes a 90 deg angle with the 12 marker.

At 4:00 the hour hand makes a 120 degree angle with the 12 marker.

At 3:20, the hour hand has gone 20/60 of the way from the 3 marker to the 4 marker, so it has gone 1/3 of the way from 90 degrees to 120 degrees with the 12 marker. 1/3 * 30 + 90 = 100 deg. The hour hand is making a 100-deg angle with the 12 marker.

At 3:20, the minutes hand is at the 4 marker, so it makes a 120-degree angle with the 12 marker.

The angle made by the hands is 120 deg = 10 deg = 20 deg.

Answer:

its not 20 i did it cus im also doing aops not right

Step-by-step explanation:

Answer:

3 and 2

Step-by-step explanation:

The ratio of the 2 numbers = 3 : 2 = 3x : 2x ( x is a multiple )

When 5 is subtracted from both , that is

3x - 5 : 2x - 5 = 2 : 3

Expressing the ratio in fractional form

[tex]\frac{3x-5}{2x-5}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

3(3x - 5) = 2(2x - 5) ← distribute both sides

9x - 15 = 4x - 10 ( subtract 4x from both sides )

5x - 15 = - 10 ( add 15 to both sides )

5x = 5 ( divide both sides by 5 )

x = 1

Thus the 2 numbers are

3x = 3(1) = 3 and 2x = 2(1) = 2

Answer:

14cm

Step-by-step explanation:

Martelene bought a small aquarium to celebrate her birthday.

The aquarium has a length of 18.5cm, width of 15cm and a volume of 3885 cubic centimeters.

From the question above we are required to calculate the depth of the water in the aquarium

Let A represent the depth of the water in the aquarium

Volume= length×width×height

3885= 18.5 × 15 × A

3885= 277.5A

Divide both sides by the coefficient of A which is 277.5

3885/277.5= 277.5A/277.5

A = 3885/277.5

A= 14cm

Hence the water is 14cm deep into the aquarium.

Answer:

your correct answer is y=-1/5-3

Step-by-step explanation:

The linear equation of the line is y = -1/5x - 3 and y + 3 = -1/5(x - 0)

The slope is given as:

m = -1/5

The y-intercept is given as:

c = -3

A linear equation in slope intercept form is represented as:

y = mx + c

So, we have:

y = -1/5x - 3

The equation in point slope form is calculated as follows:

y = -1/5x - 3

Add 3 to both sides

y + 3 = -1/5x

Express -1/5x as -1/5(x)

y + 3 = -1/5(x)

Subtract 0 from x

y + 3 = -1/5(x - 0)

Hence, the linear equation of the line is y = -1/5x - 3 and y + 3 = -1/5(x - 0)

Read more about linear equation at:

https://brainly.com/question/1884491

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Answer:

Estimated amount of liquid in the pitcher = 39 ounces (Approx)

Step-by-step explanation:

Given:

Amount of water = 32 ounces

Amount of lemon juice = 7.15 ounces

Find:

Estimated amount of liquid in the pitcher

Computation:

Estimated amount of liquid in the pitcher = Amount of water + Amount of lemon juice

Estimated amount of liquid in the pitcher = 32 ounces + 7.15 ounces

Estimated amount of liquid in the pitcher = 39.15 ounces

Estimated amount of liquid in the pitcher = 39 ounces (Approx)

Answer:

Where either the graph crosses the x-axis when y = 0 or where the graph crosses the y-axis when x = 0.

Step-by-step explanation:

Intercepts are the point where they touch/cross an axis.

Answer:

The intercept of a line is the y-value of the point where it crosses the y-axis.

Step-by-step explanation:

-3 <= x <= 9 would be the inequality

Answer:

[tex]\boxed{-3 \leq x \leq 9}[/tex]

Step-by-step explanation:

x is at least -3

So,

=> x ≥ -3

For, x at most 9, It is

=> x ≤ 9

Combining the inequality

-3 ≤ x ≤ 9

Answer:

7Σn=1 (-2n - 2)

Step-by-step explanation:

Sigma notation:

The top number is stop at n = 7 (inclusive)

The bottom number is start at n = 1

The equation is the expression for each term in the sum

Find explicit formula

d = -2, a₁ = -4

-4 - 2(n - 1)

-4 - 2n + 2

-2n - 2

7 goes on top of Σ

n = 1 goes on the bottom of Σ

-2n - 2 goes to the right of Σ

Answer:

0.60

Step-by-step explanation:

Probability that the customer is not a poor risk = 1 - probability that the customer is a poor risk

Firstly, let’s calculate the probability of being a poor risk.

From the given data the number of poor risks = 14229-7362-1190 = 5677

So the probability of being a poor risk = 5677/14229 = 0.399

Thus, the probability that the customer is not a poor risk = 1-0.399 = 0.601 which to 2 decimal places = 0.60

Answer:

B. f(x) = 1 - x²

Step-by-step explanation:

Since we are dealing with only vertical movement, all we change is the constant. Since the red graph is up one from the reflected parent graph, we know our graph is f(x) = -x² + 1 or f(x) = 1 - x².

Answer:

B. F(x) = 1 - x^2

Step-by-step explanation:

The red graph is the blue graph translated 3 units down. It has a vertical translation of -3 units.

F(x) = G(x) - 3

F(x) = 4 - x^2 - 3

F(x) = 1 - x^2

Answer: b=4, c=2

Step-by-step explanation:

Since ΔXYZ and ΔVUW are congruent, we can set the sides equal to each other.

c+16=9c                                [subtract both sides by c]

16=8c                                    [divide both sides by 8]

c=2

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

10b=b+36                             [subtract both sides by b]

9b=36                                   [divide both sides by 9]

b=4

Answer:

3 and 5/12

Step-by-step explanation:

To find how much flour you need, subtract how much sugar you need from how much total you need of sugar and flower. To do this, turn both numbers into improper fractions. This means 3 and 2/3 turns into 11/3 as there are 3 thirds per whole, and there are three wholes plus the 2 thirds, equaling 11/3. The 1/4 is already an improper fraction, so you can move on.

Now you just covert them to have the same denominator by multiply 11/3 by 4 on top and bottom and 1/4 by 3 on both the top and bottom to get 44/12 and 3/12. Now you just subtract 44/12-3/12 and get 41/12. Made into a mixed number that is 3 and 5/12.

The recipe will require three and five-twelfths (3 5/12) fraction cups of flour.

A fraction is a portion of a whole or, more broadly, any number of equal pieces.

It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.

Fractions are of two types:

In the question, we are informed that a recipe calls for a total of 3 and two-thirds cups of flour and sugar.

We are asked if the recipe calls for One-fourth cup of sugar, then how much flour is needed.

We suppose the quantity of flour required to be x cups.

We know the quantity of sugar required = One-fourth cup.

This can be written as a fraction = 1/4 cup.

We know the total sugar and flour is three and two-thirds cups.

This can be written as a fraction = 3 2/3 cup = 11/3 cup.

Now, we know quantity of sugar + quantity of flour = total quantity

or, 1/4 + x = 11/3

or, x = 11/3 - 1/4 = (44 - 3)/12 = 41/12 = 3 5/12.

Therefore, the recipe will require three and five-twelfths (3 5/12) fraction cups of flour.

Learn more about fractions at

https://brainly.com/question/11562149

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Answer:

a)~5572.45 (cm^3)

b)~1519.76 (cm^2)

Step-by-step explanation:

A volleyball has a diameter d = 22 cm

=> Its radius r is r = d/2 = 22/2 = 11 cm

a) Its volume is calculated by:

V = (4/3) x pi x r^3

with p = ~3.14 and r = 11 cm

=> V = (4/3) x 3.14 x 11^3 = ~5572.45 (cm^3)

b) Its surface area is calculated by:

A = 4 x pi x r^2

with p = ~3.14 and r = 11 cm

=> A = 4 x 3.14 x 11^2 = ~1519.76 (cm^2)

Answer:

x^32

Step-by-step explanation:

Multiply the exponent 4 by the exponent 8:

(x^4)^8 = x^32

Answer:

Step-by-step explanation:

[tex]5x - 1 = 6x - 9[/tex]

Move variable to L.H.S and change its sign:

[tex]5x - 6x - 1 = - 9[/tex]

Move constant to RHS and change its sign:

[tex]5x - 6x = - 9 + 1[/tex]

Combine like terms and simplify:

[tex] - x = - 8 \\ x = 8[/tex]

Hope this helps....

Good luck on your assignment...

Answer:

i believe the answer would be 50

Step-by-step explanation:

to find the mean you add all of the numbers together and divide it by the amount of numbers given.

For example, in this problem, you would add:

58+ 76+ 40+ 35+ 46+ 45+ 0+ 100

which would equal 400

then you you divide 400 by 8 because there are 8 numbers and it gives you the answer of 50

(hope this helped <33)

Answer:

Step-by-step explanation:

[tex]\dfrac{58+76+40+35+46+45+0+100}{8}=\dfrac{400}8=50[/tex]

Answer:

x = 3/2, -1/2 OR x = 1.5, -0.5 OR x = 1 1/2, -1/2

Any of these above work!

Answer:

The answer is C

I turned it in and it was correct

Step-by-step explanation:

Please mark brainliest

Answer:

c

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

After the third step, take the square root of both sides.

Third Step:

[tex](x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}[/tex]

Thus, the fourth step is:

[tex]\sqrt{(x+\frac{b}{2a})^2}=\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]

The left side cancels:

[tex](x+\frac{b}{2a})=\pm\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]

D.

Answer:

x + [tex]\frac{b}{2a}[/tex] = ±[tex]\sqrt \frac{b^{2} - 4ac }{4a^{2} }[/tex]     aka choice D

Step-by-step explanation:

Answer: The source has the potential to create bias because it was sponsored by companies that will benefit from it. This might have been avoided by stoping these companies from sponsoring the study.

Explanation:

A study is biased if its results or process is not objective, which means they have been influenced by a specific perspective or interest, and the results are inaccurate. One of the factors that causes bias is the participation of entities with economic interests in the study.

This occurs in the case described because a candy and a chocolate company sponsored the studies, and therefore results might be modified to benefit the companies. According to this, the study has the potential of being biased, and the main source is the fact it was sponsored by companies with interests.

Besides this, this can be avoided if the study does not accept sponsoring by companies with specific interests. In this way, the study will be objective, and the results will not be influenced, which means the information provided by the study would be accurate and credible.

Answer:

Lies in the shaded regions of both the top and bottom inequalities.

Step-by-step explanation:

The point of solution for BOTH systems of inequalities must work for both equations. Therefore, the point has to lie in both top and bottom shaded regions or it won't work for both, but just one.

Answer:

C: Lies in the shaded regions of both the top and bottom inequalities.

Step-by-step explanation:

Hope this helps!

Answer:

4x - 4

Step-by-step explanation:

4 × x = 4x

4 × -1 = -4

4x - 4

Answer:

4x-4

Step-by-step explanation:

Answer:

120 words

Step-by-step explanation:

There are only three possible letters, assuming words can be 1, 2, 3 or 4 letters long:

The number of 1 letter words is 3

The number of 2 letter words is 3² = 9

The number of 3 letter words is 3³ = 27

The number of 4 letter words is 3⁴ = 81

The total number of possible words is:

[tex]3+9+27+81 = 120\ words[/tex]

This tribe's language has 120 words.

Answer:

1. False

2. True

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

75/5 is 15 and in order to start making a profit than you have to wash 16 cars

hope this helps

Answer:

Step-by-step explanation:

The idea is to find out after what number car washed will they begin to make money. That means that this is an inequality. If they charge $5 per car, and the number of cars is our uknown, then the expression for that charge is 5x. If they need to make more than what they spent on setting up, they want to make more than $75, which looks like this: > 75. Putting that together:

5x > 75 and solving for x,

x > 15.

That means that they have to wash 15 cars to just break even and starting on the 16th car on up, they will see a profit.