Calvin evaluated Negative two-thirds times 5 and one-sixth using the steps below.

Step 1: Negative two-thirds time (5 + one-sixth)
Step 2: (Negative two-thirds + 5) times (Negative two-thirds + one-sixth)
Step 3: 4 and one-third times negative one-half
Step 4: Negative 2 and one-sixth

Which describes Calvin’s error?
In step 1, he incorrectly broke up 5 and one-sixth.
In step 2, he distributed the Negative two-thirds instead of the 5.

Answer:

C=304

Step-by-step explanation:

4cups everyday

elephants eat 74×

its 4×74=304

Answer:

4 x 76 = c; c = 304

Step-by-step explanation:

Hope this helps! :)

Let me know if I'm wrong.

Answer:

[tex] {x}^{2} = {9}^{2} + {40}^{2} \\ {x}^{2} = 81 + 1600 \\ {x}^{2} = 1681 \\ x = \sqrt{1681} \\ x = 41[/tex]

plzz ,thnx my answer...

Answer:

x=5,y=2

Step-by-step explanation:

THis are the answer's because in the inequalities u solve them and them u get your answer

Step-by-step explanation:

Check the photo

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The translated equation of line 7y = 4x + 24 is given as 7y = 4x + 3, and the figure is attached below.

A shape is translated when it is moved to the left, right, up, or down without turning. Congruence is demonstrated by the fact that the translated shapes (or the image) seem to be the same size as the original ones. Simply said, they have changed their path or directions.

Given:

The figure is shown, The line is passing through (1, 4) and (8, 8),

The equation of the line in the given question can be written as,

y - 8 = (8 - 4) / (8 - 1) (x  - 8)

y - 8 = 4 / 7 (x - 8)

7(y - 8) = 4(x - 8)

7y - 56 = 4x - 32

7y = 4x - 32 + 56

7y = 4x + 24

The slope of the line is 4 / 7

The translated equation can be written as,

y - (-3) = 4 / 7 (x - (-4))

y + 3 = 4 / 7 (x + 4)

Thus, the (1, 4) coordinate will become (-3, 1) and the (8, 8) coordinate will become (4, 5), The figure is attached below.

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Answer:

Part A: 100

Part B: 625

Step-by-step explanation:

Part A equation: 25 x 4 = 100

Part B equation: 25 x 25 = 625

Answer:

360

Step-by-step explanation:

hope this helps.

Given:

The base of 40-foot ladder is 8 feet from the wall.

To find:

How high is the ladder on the wall (round to the nearest foot).

Solution:

Ladder makes a right angle triangle with wall and ground.

We have,

Length of ladder (hypotenuse)= 40 foot

Base = 8 foot

We need to find the perpendicular to get the height of the ladder on the wall.

Let h be the height of the ladder on the wall.

According to the Pythagoras theorem,

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

[tex](40)^2=(8)^2+(h)^2[/tex]

[tex]1600=64+h^2[/tex]

[tex]1600-64=h^2[/tex]

[tex]1536=h^2[/tex]

Taking square root on both sides.

[tex]\pm \sqrt{1536}=h[/tex]

[tex]\pm 39.1918358=h[/tex]

Height cannot be negative. Round to the nearest foot.

[tex]h\approx 39[/tex]

Therefore, the height of the ladder on the wall is 39 foot.

Answer:

6 Hours

Step-by-step explanation:

Q. A car wash can wash four cars in one hour. The table shows the total number of cars washed. How long will it take to wash 24 cars?

A. 4 Cars = 1 Hour

   8 Cars = 2 Hours

   12 Cars = 3 Hours

   16 Cars = 4 Hours

   20 Cars = 5 Hours

   24 Cars = 6 Hours

Hope this helps

Answer:

Step-by-step explanation:

Circumference = 2nr

C = 2 x 3.14 x 5

C = 31.4

A = nr^2

A = 3.14 x 5^2

A= 3.15 x 25

A = 78.5

Answer:

No.  5x and 5x² are not like terms.

When a variable is raised to two different powers, they can not be added together.

Another way to look at it is to note that:

5x + 5x² ≡ 5x(1 + x)

It is more obvious there that 1 and x are not like terms, thus neither are 5x and 5x², though they do have common factors.

Answer:

m = 1/4 or 0.25

Step-by-step explanation:

1/2 = 2m

[Symmetric property of equality]

2m = 1/2

÷2. ÷2

[Division property of equality]

m = 1/2 ÷ 2

m = 1/4

________

1/2 = 2m → 1/2 = 2(1/4) → 1/2 = 2/4 →

1/2 = 2÷2/4÷2 → 1/2 = 1/2

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I hope it's right uwuwuwu

Answer:

3 baby carrots, 4 crackers and 6 grapes

Step-by-step explanation:

Given

[tex]Baby\ Carrots = 9[/tex]

[tex]Crackers = 12[/tex]

[tex]Grapes = 18[/tex]

Required

Determine the number of each food item in a lunch box

First we need to get the number of lunch boxes by calculating the GCF of 9, 12 and 18

[tex]9 = 3 * 3[/tex]

[tex]12 = 2 * 2 * 3[/tex]

[tex]18 = 2 * 3 * 3[/tex]

The GCF is:

[tex]GCF = 3[/tex]

This implies that the number of lunch boxes is 3.

If there are 3 lunch boxes:

Answer:

length=48cm

Step-by-step explanation:

a²+14²=50²

a²+196=2500

a²=2304

a=48

9514 1404 393

Answer:

  123.6 m²

Step-by-step explanation:

The area is given by the formula ...

  A = (AB)(AD)sin(∠A)

  A = (7 m)(20 m)sin(62°) ≈ 123.6 m²

Answer:

50.27 mi

Step-by-step explanation:

lol

[tex]\boxed{\boxed{\pink{\sf \leadsto The \ x - intercept \ is \ (2,0) \ \& \ the \ y \ intercept \ is \ (-8,0) }}}[/tex]

A linear equation is given to us and we are required to find x and y Intercepts to it. So the given linear equation to us is ,

[tex]\bf \implies 4x - y = 8 \\\\\bf\implies \dfrac{1}{8} \bigg( 4x -y\bigg) =\frac{1}{8}\times 8 \\\\\bf\implies \dfrac{4x}{8}-\dfrac{y}{8} = \dfrac{8}{8} \\\\\bf\implies \dfrac{x}{2}-\dfrac{y}{8}=1 \\\\\bf\implies\boxed{\red{\bf \dfrac{x}{2}+\dfrac{y}{-8}=1 }}[/tex]

Hence on comparing to standard form we get

Answer:

x = (2,0)

y = (0,-8)

Step-by-step explanation:

Remember than an intercept always has the other number as 0.

Let's put this in standard form of a linear equation, or y = mx + b

4x - y = 8

-y = -4x + 8

y = 4x - 8

"b" is the y intercept. The y intercept is -8, or (0,-8)

Now, to find the x intercept, all we have to do is substitute 0 for y.

0 = 4x -8

8 = 4x

2 = x

The x intercept is 2, or (2,0)

Answer:

4. 432 cm^2/2 = 216 cm^2

6. 309.76 mm^2

8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2

484/2 = 242pi or 759.88 in^2.

10. 297.84 in^2/2 = 148.92 in^2

Step-by-step explanation:

To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.

A square is equal on all sides, so you would just square the measurement of the one side.

To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).

I hope this helps!

The area of a shape is the amount of space it can occupy.

The areas of the shapes are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively

(a) Triangle

Given that:

[tex]Base = 27cm[/tex]

[tex]Height = 16cm[/tex]

The area is:

[tex]Area = 0.5 \times Base \times Height[/tex]

[tex]Area = 0.5 \times 27cm \times 16cm[/tex]

[tex]Area = 216cm^2[/tex]

(b) Square

Given that:

[tex]Length = 17.6mm[/tex]

The area is:

[tex]Area = Length^2[/tex]

[tex]Area = (17.6mm)^2[/tex]

[tex]Area = 309.76mm^2[/tex]

(c) Semi-circle

Given that:

[tex]diameter =44in[/tex]

First, calculate the radius (r)

[tex]r = 0.5 \times diameter[/tex]

[tex]r = 0.5 \times 44in[/tex]

[tex]r = 22in[/tex]

The area is:

[tex]Area = \frac{\pi r^2}{2}[/tex]

[tex]Area = \frac{3.143 \times (22in)^2}{2}[/tex]

[tex]Area = 760.61in^2[/tex]

(d) Triangle

Given that:

[tex]Base = 20.4in[/tex]

[tex]Height = 14.6in[/tex]

The area is:

[tex]Area = 0.5 \times Base \times Height[/tex]

[tex]Area = 0.5 \times 20.4in \times 14.6in[/tex]

[tex]Area = 148.92in^2[/tex]

Hence, the areas are: 216cm[tex]^2,[/tex], 309.76mm[tex]^2,[/tex],760.61in[tex]^2,[/tex] and 148.92 in[tex]^2,[/tex] respectively

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Answer:

A.)x=6

B.)x=16

did u mean to solve it or do something else if this is not the way u mean i can do another way if u like

Answer:

He spent 20,000 points on the castle and 12,000 points on the spell.

Step-by-step explanation:

It says that he spent 5/8 points on the castle

32000/1 x 5/8 = 20,000

We got our points for the castle. Now we need to find how many points for the spells, which is the remaining. 32000-20,000=12,000

This means that 20,000 points are used on the castle and 12,000 on the spell.

Answer:20000 and 12000

Step-by-step explanation:

Answer:

angle HEG = 12 degrees

Step-by-step explanation:

A line is 180 degrees. Since there is a right angle there, you know that angleHEG and 78 added together is 90degrees

x + 78 = 90         >> subtract 78 from both sides

x = 12

angle HEG = 12 degrees

Answer:

18 degrees

Step-by-step explanation:

There is a little box on the left that indicates both angles together make a 90 degree angle so you just have to do 90 - 78 to get the answer.

Answer:

An equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4) is: [tex]\mathbf{y=-6x+8}[/tex]

Step-by-step explanation:

We need to  write an equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4)

The equation in slope-intercept form is : [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

We need to find slope and y-intercept for our equation.

In the question, we are given slope m = -6

Now, we need to find y-intercept.

Using slope m = -6 and the point (2,-4) we can find y-intercept

[tex]y=mx+b\\-4=-6(2)+b\\-4=-12+b\\b=12-4\\b=8[/tex]

So, we get y-intercept : b = 8

Now, the equation of line having slope m = -6 and y-intercept : b = 8 in slope-intercept form will be:

[tex]y=mx+b\\y=-6x+8[/tex]

An equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4) is: [tex]\mathbf{y=-6x+8}[/tex]

Answer: $28,575.05

Step-by-step explanation:

Formula: FV = (1+r/n)^nt

FV = future value of the deposit

P = principal or amount of money deposited

r = annual interest rate (in decimal form)

n = number of times compounded per year

t = time in years.

3,500(1+7.25%)^30=28,575.05468

Answer:

the answer is option c : 0 zero

Answer:

1.2

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

because it's the same number

The absolute value of the number 0.75 is 0.75 .

Absolute value of a number is the distance value from zero without considering sign of a number. It is also represented as |x|, where x is any number.

Absolute value of a positive number is that same positive value. Distance of a positive number from zero is that positive number.

So absolute value of 0.75;

|0.75| = 0.75

Therefore, the absolute value of the number 0.75 is 0.75 .

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Answer:

x=10/3

Step-by-step explanation:

Let's solve your equation step-by-step.

−7x=−10x+10

Step 1: Add 10x to both sides.

−7x+10x=−10x+10+10x

3x=10

Step 2: Divide both sides by 3.

3x 3=10 3

x=10/3