What is the sum of the interior angles of an equilateral triangle?
A. 60°
B. 90°
C.180°
D.360°

Answer:

26 sticks of butter; 6 and a half pounds (6lbs, 8 ounces)

Step-by-step explanation:

We know from the question that each stick of butter weighs 0.25 pounds or 4 ounces

(There are 16 ounces in a pound)

We also know that each stick of butter is equal to 8 tablespoons.

(There are also 16 tablespoons in a cup)

Therefore, you need 2 sticks of butter to make 1 cup of butter. The recipe calls for 13 cups of butter. 13•2 is equal to 26. So it takes 26 sticks of butter to make 13 cups of butter. And if each sticks weighs 0.25 pounds, we can work out 26•0.25 to get 6.5 pounds.

Hope it helped!

It takes 7.5 cups of milk to make 1 stick of butter.

Step-by-step explanation:

Given,

Cups of milk used = 30 cups

Sticks of butter made = 4

Unit rate describes how many units of one quantity corresponds to 1 unit of other quantity.

We will find unit rate per butter stick.

Unit rate per butter stick = [tex]\frac{cups\ of\ milk\ used}{No.\ of\ butter\ sticks}[/tex]

Unit rate per butter stick = [tex]\frac{30}{4} = 7.5\ cups\ of\ milk\ per\ butter\ stick[/tex]

It takes 7.5 cups of milk to make 1 stick of butter.

Keywords: unit rate, division

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We can classify each number as:

0 = ones place

8 = tenths place

7 = hundredths place

3 = thousandths place

Now that we know that 7 is in the hundredths place we can write this as: 7/100 (0.07)

_______

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Answer:

6ab + b^2 - 17a - 4b + 10

Step-by-step explanation:

-2(a+b-5)+3(-5a+2b)+b(6a+b-8)

Now we break the parenthesis. To break that, we multiply each of the value inside the parenthesis by the adjacent number. That is, for the first part of the expression, we multiply by -2, then by 3, and then by b.

Algebraic Operations need to be considered:

[ (-) x (-) = (+); (-) x (+) = (-)]

= [-(2*a) + (-2*b) - (-2*5)] + [3*(-5a) + (3*2b)] + [(b*6a) + (b*b) - (b*8)]

= -2a - 2b +10 -15a + 6b + 6ab + b^2 - 8b

Now, we will make the adjustment by the similarity value.

= - 2a - 15a - 2b + 6b - 8b + 6ab + b^2 + 10

= - 17a - 4b + 6ab + b^2 + 10

= 6ab + b^2 - 17a - 4b + 10

Therefore, the answer of the expression is = 6ab + b^2 - 17a - 4b + 10

Answer:

8:29 AM

Step-by-step explanation:

The plane will arrive in California at 10:89 or 11:29 AM (eastern time) .From the eastern time period to the pacific time period, the time will decrease by 3 hours. 11:29 AM -3 hours is 8:29 AM. So when the plane arrives in California, the time should be 8:29 AM Pacific time.

It looks like you are good up to problem 4 so I will start there. I believe this is practice worksheet featuring the pyth. theorem. The pyth. theorem is used to find the length of sides in a right triangle notable the hypotenuse (side opposite of 90 degree angle).

4. The monitor is a rectangle but that does not stop you from constructing a right triangle. The smaller lengths are 16 in and 12 in respectively. The hypotenuse of the triangle is the diagonal of the rectangle. To find the length use the pyth. theorem.

diagonal^2 = 16^2+12^2

diagonal = 20 in

7. You know the speeds of both trains and the time spend traveling. You know they are traveling at a 90 degree angle so you can use pyth. theorem. But wait... you need to find the distances traveled for both trains. You can find that though because speed x time = distance.

50mph x 3hrs = 150mi

40mph x 3hrs = 120mi

The distance between the trains after 3 hours is the hypotenuse which can be determined by pyth. theorem.

distance^2 = 150^2+120^2

distance = 192 mi approx.

8. First find length of one piece of wiring. Use pyth theorem. Actually 3,4,5 pyth. triplet in which 5 is the hypotenuse. So you have 5 ft for the length of one piece of wiring. How many pieces of wiring do you need? Well, each tree needs 3 pieces and there are 6 trees so you need 18 pieces.

18 x 5 = 90 ft of wiring

From the work I see, you have a great understanding of the pyth. theorem. Keep it up!

Answer: [tex]1,579,940,000\ inches[/tex]

Step-by-step explanation:

Let be "x" the  Equatorial circumference of Earth in inches.

Based on the data given in the exercise, you know that the equatorial circumference of Earth is [tex]4.01 * 10^4\ kilometers[/tex].

You also know that:

[tex]1\ kilometer=3.94* 10^4\ inches.[/tex]

 Then, you can set up the following proportion:

[tex]\frac{3.94*10^4\ inches}{1\ kilometer}=\frac{x}{4.01 * 10^4\ kilometers}[/tex]

Finally, you must solve for "x" in order to find its value.

Applying this procedure you get the following result:

[tex](4.01 * 10^4\ kilometers)(\frac{3.94*10^4\ inches}{1\ kilometer})=x\\\\x=1,579,940,000\ inches[/tex]

The equatorial circumference of Earth in inches is found by multiplying the given circumference in kilometers by the conversion from kilometers to inches.

The equatorial circumference of Earth is stated to be  [tex]4.01 \times 10^4[/tex] kilometers. We also have the conversion factor that 1 kilometer is equivalent to [tex]3.94 \times 10^4[/tex]inches. We can find the equatorial circumference of Earth in inches by multiplying the circumference in kilometers by the conversion factor.

So, the calculation becomes:  [tex]4.01 \times 10^4 km \times 3.94 \times 10^4 inches/km.[/tex] The kilometers cancel out and the result will be in inches. This type of conversion is a common task in mathematics and physics where we often have to switch between units of measurement.

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In mathematics, a ratio is the comparison of two numbers or quantities which is an amount, measurement, or number.

For example, a ratio can be used to compare the number of shaded rectangles to the number of unshaded rectangles. In the first image, I provided an image of what this ratio would look like.

A proportion is a pair of ratios that are equal to each other.

If we're asked to determine if two ratios can form a proportion, we really want to see if the ratios are equal to each other. It's important to understand that if two ratios are equal, they form a proportion.

Answer:

C

Step-by-step explanation:

D=m/v

Rearranging the formula

v=m/D

V=1000/13.56

V=73.69 cm3

Answer:

v = 73.69 cm²

Step-by-step explanation:

V = m/p

Where,

v is volume

m is mass

p is density

So,

v = 1000 / 13.57

v = 73.69 cm²

I believe that this maybe a wrong answer because 1000 kg is suppose to be converted to g but since the answer (which is 73692 cm³) would not meet any of the options, I would have to go for that answer.

Answer:

whats priya and tylers distance?

Answer:

A. 2x + 150y = 1,500

   2x + 120y = 1,320

The flights were $300 each, and they stayed 6 nights.

B. $1,380

Step-by-step explanation:

Let x be the cost of the flight (in one side) and y be the number of nights on their vacation.

A. Brenda had a fancy room for $150 per night, then she paid $150y for y nights.  Brenda's total is $1,500, then

[tex]150y+2x=1,500[/tex]

Brenda's friend had a smaller room for $120 per night, then she paid $120y for y nights.  Brenda's friend total is $1,320, then

[tex]120y+2x=1,320[/tex]

Subtract two equations:

[tex]150y+2x-120y-2x=1,500-1,320\\ \\30y=180\\ \\y=6[/tex]

Substitute into the first equation:

[tex]150\cdot 6+2x=1,500\\ \\900+2x=1,500\\ \\2x=600\\ \\x=300[/tex]

Hence

2x + 150y = 1,500

2x + 120y = 1,320

The flights were $300 each, and they stayed 6 nights.

B. If a third friend joined them and stayed in a mid-range room for $130 per night, then he paid [tex]\$130\cdot 6=\$780[/tex]

The total cost is

[tex]\$780+\$600=\$1,380[/tex]

Answer: 13

Step-by-step explanation:

13x2=26 and since you cant have a half sketch pad he can only have 13.

Fred can buy 13 sketch pads with his $27, as each pad costs $2 and after dividing $27 by $2, the result is 13.5, which rounds down to 13 because he cannot purchase half a sketch pad.

Fred has $27 to buy sketch paper, and each sketch pad costs $2. To find out how many sketch pads he can buy, we divide the total amount of money Fred has by the cost of each sketch pad.

So, we calculate this by performing the division:

Number of sketch pads = Total money / Cost of each sketch pad

Number of sketch pads = $27 / $2 = 13.5

Since Fred cannot buy half a sketch pad, we'll round down to the nearest whole number, which means Fred can buy 13 sketch pads with the money he has.

Answer:

[tex]-4x + y = -9\:or\:y = 4x - 9[/tex]

Step-by-step explanation:

First, find the rate of change [slope]:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-3 - 5}{-3 + 1} = \frac{-8}{-2} = 4[/tex]

Then, plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly that way. It does not matter which ordered pair you choose::

−5 = 4 + b

[tex]\displaystyle -9 = b \\ \\ y = 4x - 9[/tex]

If you want it in Standard Form:

y = 4x - 9

- 4x - 4x

_________

[tex]\displaystyle -4x + y = -9[/tex]

_______________________________________________

3 = 4[3] + b

12

[tex]\displaystyle -9 = b \\ \\ y = 4x - 9[/tex]

y = 4x - 9

- 4x - 4x

_________

[tex]\displaystyle -4x + y = -9[/tex]

** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

The linear equation created from the points (3,3) and (1,-5) is y = 4x - 9, found by first calculating the slope, then finding the y-intercept.

To create a linear equation from two points, you need to find the slope and y-intercept. Let's use the two points given: (3,3) and (1,-5). The slope (m) is found using the formula [tex](y2 - y1) / (x2 - x1),[/tex] so [tex]m = (-5 - 3) / (1 - 3) = -8 / -2 = 4[/tex]. Next, use the y = mx + b formula to find the y-intercept (b). Substituting one of the points and the slope, we get: [tex]3 = 4 * 3 + b[/tex], solving for b, gives b = -9. So, the linear equation is [tex]y = 4x - 9.[/tex]

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Answer:

B. A sans serif font in size 30-point

Step-by-step explanation:

18, 10 and 10 are too small therefore 30 would be the correct font size.

The best type of front to use in a slide presentation is a sans serif font in size 30-point. That is option B.

A slide presentation is a type of presentation that involves the use of typed pages or pictures that contains information which are displayed in a screen.

The best type of font used in a slide presentation goes to the sans serif font with a size of 30 point. This is because, they lack the edge strokes and they are easy to read.

Therefore, the best type of front to use in a slide presentation is a sans serif font in size 30-point.

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Answer:

The function has a y-intercept of (0,-1).

Step-by-step explanation:

The given function is f(x) = x - 1 .......... (1)

Now, we have to choose from the statements given in options that best describe the function.

I think option 3 is the only statement that describes the function well.

Option 3 states that the function has a y-intercept of (0,-1).

If we put x = 0 in the function then will get y = - 1.

So, the function (1) has y-intercept at (0,-1). (Answer)

Final answer:

Only statement 3 is correct, which states that the function  (x) = x - 1 has a y-intercept of (0, -1). The function's x-intercept is actually (1, 0), the slope is consistently -1, and the other statements are either incorrect or irrelevant.

Explanation:

We are asked to determine which expressions best describe the function  (x) = x - 1.

Therefore, only statement 3 correctly describes the function  (x) = x - 1.

Answer: Each boy gets $31.

Step-by-step explanation:

The data we have is:

We have 3 kids (Troy and two friends)

The father paid $35 for gas and expenses.

The boys made $128.

Then we have $128 divided equally into 3 boys.

But those $35 of expenses must be returned for the dad (guess that the gas and expenses are things neede for the kids)

So the amount that they can divide is $128 - $35 = $93

then each boy gets N = $93/3 = $31

Answer:

900

Step-by-step explanation:

2 rounds it down

Answer:

900

Step-by-step explanation

900←927→1000

927-900=27

1000-900=100

good evening ,

Answer:

The right answer is the first one

Step-by-step explanation:

Area = length × width

m = (1/5)×(2/3).

:)

Answer:

Uncle Ginos sold 250 pizzas last week

Answer: OPTION B.

Step-by-step explanation:

The missing figure is attached.

For this exercise you need to use the Pythagorean Theorem. This is:

[tex]a^2=b^2+c^2[/tex]

Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.

In this case you can identify in the figure the triangle PRS, so the diagonal PR is the hypotenuse of the triangle PRS.

Then you can say that:

[tex]a=PR\\b=PS=17\\c=RS=33[/tex]

Therefore, knowing these values, you can substitute them into [tex]a^2=b^2+c^2[/tex]:

[tex]PR^2=17^2+33^2[/tex]

Finally you must solve for PR in order to find its value. This is:

[tex]PR=\sqrt{17^2+33^2}\\\\PR=37.12[/tex]

The measure of a side is the length it possess. The measure of PR for the given rectangle is given by: Option B: 37.12 units.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

For the given case, we can use the fact that opposite side of a rectangle are of same length, and one more fact that all the adjacent side pairs of a rectangle are perpendicular to each other(means the minor angle between them is of 90 degrees).

The question is missing the figure, which is attached below.

Since PQRS is a rectangle, thus, we have:

|PS| = |QR| = 17 units

|PQ| = |RS| = 33 units

Thus, for the triangle PSR, as angle S internally is of 90 degrees, we can use Pythagoras theorem.

From Pythagoras theorem for PSR, where PR is hypotenuse, we get:

[tex]|PR|^2 = |PS|^2 + |SR|^2\\\\|PR| = \sqrt{17^2 + 33^2} = \sqrt{1378} \approx 37.12[/tex] units.

(positive root was taken as length is a non-negative quantity).

Thus, the measure of PR for the given rectangle is given by: Option B: 37.12 units.

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Answer:

First five terms are (5, 7, 9, 11, 13)

Step-by-step explanation:

[tex]a_n = 5+(n-1)2[/tex]

Arithmetic explicit rule is given we need to find first five terms.

Let n be number of terms.

When n = 1,

[tex]a_1= 5+(1-1)2= 5+(0)2=5[/tex]

When n = 2,

[tex]a_2=5+(2-1)2=5+2=7[/tex]

When n = 3,  

[tex]a_3=5+(3-1)2=5+4=9[/tex]

When n = 4,  

[tex]a_4=5+(4-1)2=5+6=11[/tex]

When n = 5,  

[tex]a_5=5+(5-1)2=5+9=13[/tex]

Hence the First five terms are (5, 7, 9, 11, 13)

Answer:

[tex]- 5 \log 2 = - \log 32[/tex]

Step-by-step explanation:

We have to convert an exponential equation into the logarithmic equation.

The given equation is  

[tex]2^{-5} = \frac{1}{32}[/tex]

Now, taking log on both sides we get,  

[tex]\log 2^{-5} = \log\frac{1}{32}[/tex]

⇒ [tex]- 5 \log 2 = \log 1 - \log 32[/tex]

{Since we know from the logarithmic property that [tex]\log a^{b} = b \log a[/tex] and [tex]\log \frac{a}{b} = \log a - \log b[/tex] }

⇒ [tex]- 5 \log 2 = - \log 32[/tex] {Since [tex]\log 1 = 0[/tex] }

Hence, this is the required logarithmic equation. (Answer)

Answer: A

Step-by-step explanation:

Final answer:

Keegan rides 8 miles per day going to and from school. Over the course of 5 days, he rides a total of 40 miles on the bus.

Explanation:

The question asks how many miles Keegan rides the bus in 5 days if he travels 4 miles to school and 4 miles home each day. To solve this, we can multiply the daily round trip distance by the number of school days in a week. Keegan travels 8 miles per day (4 miles to school and 4 miles back home). So, in 5 days, Keegan will have traveled:

8 miles/day  imes 5 days = 40 miles

Therefore, Keegan rides the bus 40 miles in 5 days.

Hey there! :)

-3(5a - 5) + 6a = 31 - 5a

Simplify! -15a + 15 + 6a = 31 - 5a

We must get all variables to one side and everything else to the other so that we can add like terms, so we can start by subtracting 15 from both sides. Additionally, add 5a to both sides.

-15a + 6a + 5a = 31 - 15

Simplify.-4a = 16

Divide both sides by -4.

-4a ÷ -4 = 16 ÷ -4

Simplify.

a = -4

~Hope this helped! :)

Answer:

[tex]a = 4[/tex]

Step-by-step explanation:

[tex] - 3(5a - 5) + 6a = 31 - 5a[/tex]

Solve the brackets.

[tex] - 15a + 15 + 6a = 31 - 5a[/tex]

Combine like terms.

[tex]-9a + 15 = 31 - 5a[/tex]

Take -5a to left side and 15 to the right.

[tex]-9a + 5a = 31 - 15[/tex]

Combine like terms.

[tex]-4a = 16[/tex]

Divide both sides by -4.

[tex]a = -4[/tex]

Answer:

ChatGPT 3.5

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The section provides information on how to protect your family

and your property in the event of a volcanic eruption.

ChatGPT

Protecting your family and property during a volcanic eruption involves several key steps:

Stay Informed: Monitor local news and authorities for updates on volcanic activity. Follow evacuation orders promptly.

Emergency Kit: Prepare an emergency kit with essentials such as water, non-perishable food, medications, and first aid supplies.

Evacuation Plan: Have a family evacuation plan in place. Identify multiple evacuation routes and meeting points.

Protective Gear: Keep protective gear such as N95 masks and goggles on hand to shield against ash and debris.

Shelter: If advised to stay indoors, close all windows and doors. Use damp towels to block gaps and protect against ash.

Animals and Livestock: Arrange for the care and evacuation of pets and livestock.

Document Protection: Safeguard important documents like identification, insurance papers, and property records in a waterproof container.

Communication: Ensure everyone in your household knows how to communicate during emergencies, and have a designated out-of-area contact.

Post-Eruption Safety: Be cautious of post-eruption hazards such as lahars (mudflows), ashfall, and potential secondary eruptions.

Recovery: Follow official guidance before returning home. Be prepared for potential disruptions to utilities and infrastructure.

By taking these precautions and staying informed, you can help protect your family and property during a volcanic eruption.

Answer:

When adding two integers with the same sign, keep the sign and add the absolute value of each number

Step-by-step explanation:

Answer:

keep the sign and add each number

Step-by-step explanation:

Answer:

-7x+y=36

Step-by-step explanation:

y-1=7(x+5)

y-1=7x+35

y=7x+35+1

y=7x+36

36=y-7x

36=-7x+y

-7x+y=36

The equation y - 1 = 7(x + 5) is transformed into the standard form by distributing, rearranging terms, and manipulating to ensure a positive coefficient for x, resulting in 7x - y = -36.

To write the equation y - 1 = 7(x + 5) in standard form, we first distribute the 7 to both terms within the parentheses which results in y - 1 = 7x + 35. Then, to ensure both variables are on one side of the equation and the constant is on the other, as required by the standard form, we subtract 7x from both sides. This gives us -7x + y = 36. Normally, standard form is written with the coefficient of x being positive, so to achieve this, we multiply the entire equation by -1, resulting in 7x - y = -36. So, the equation y - 1 = 7(x + 5) in standard form is 7x - y = -36.

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