please hurry I'm due tmr hurry and thanksss ​

~700 regular sodas to server 864 people

(the actual answer is 699.4285)

The number of regular sodas that should be bought will be 700 regular sodas.

If out of 21 people prefer diet soda to regular soda, then it means that 17 people prefer regular soda.

Since the number of people are 864 people, then the number of regular sodas that'll be bought will be:

= 17/21 × 864

= 699.42

= 700 Approximately

Therefore, the number of regular sodas that should be bought will be 700 regular sodas.

Read related link on:

https://brainly.com/question/21058142

Answer:

57.99 °

Step-by-step explanation:

\(tan( x ) = \frac{16}{10} \\ x = arctan( \frac{16}{10} ) \\ x = 57.99 \: degrees\)

Answer:

3) 57.99°

Step-by-step explanation:

16 is opposite of x° and 10 is adjacent to x°. Therefore, you use tangent because of SOHCAHTOA.

tan(x°)=opposite/adjacent

tan(x°)=16/10

tan⁻¹(tan(x°))=tan⁻¹(16/10)

x°=57.99461679°=58°

So the closest choice is 3) 57.99°

Step-by-step explanation:

Since ray GI bisects ∠FGH, we know that the ray is in the middle of the angle, since it is a bisector. That means that both angles have the same value. ∠FGI is equal to 51º. Since we know that both of the angles are the same value, that makes m∠IGH also equal to 51º. To find the angle of m∠FGH, we add both angles together to get our answer: 102º.

Answers:

m∠IGH = 51º

m∠FGH = 102º

Answer:

The hypotenuse is the side AB

Step-by-step explanation:

Right Triangles

Right triangles are identified because they have an internal angle of 90°. The longest side is the hypotenuse and the two smaller sides are called the legs.

The hypotenuse is always opposite to the right angle.

The image provided below shows a right triangle ABC, whose angle C is 90°. Thus, the hypotenuse is the side AB.

If Fran and Jill made a new years resolution to ride bikes.  it will take 3 weeks for Fran and Jill to have ridden the same number of miles..

Let's assume that it takes "x" number of weeks for Fran and Jill to ride the same number of miles.

In the first week, Fran rides 40 miles, and Jill rides 70 miles.

In the "x"th week, Fran will have ridden a total of 40 + 55x miles.

In the "x"th week, Jill will have ridden a total of 70 + 45x miles.

For Fran and Jill to ride the same number of miles in "x" weeks, we need to solve the following equation:

40 + 55x = 70 + 45x

Simplifying this equation, we get:

10x = 30

x = 3

Therefore, it will take 3 weeks for Fran and Jill to have ridden the same number of miles.

Learn more about number of weeks here:https://brainly.com/question/25511600

#SPJ1

The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

For more questions on Angle .

https://brainly.com/question/30759856

#SPJ8

Answer:

$84.12

Step-by-step explanation:

78.99 x 0.065 = 5.13

78.99 + 5.13 = 84.12

Answer:

A common fraction is a fraction whose denominator is the same with another fraction.

$$$\sqrt{x} \div\sqrt{y}$$ as a common fraction is \sqrt \frac{x}{y}}

The expression is given as:

$$$\sqrt{x} \div\sqrt{y}$$

Express as fraction

$$$\sqrt{x} \div\sqrt{y} = \frac{\sqrt x}{\sqrt y}$$

Rewrite as a common fraction

$$$\sqrt{x} \div\sqrt{y} = \sqrt \frac{x}{y}}$$

Hence, $$$\sqrt{x} \div\sqrt{y}$$ as a common fraction is \sqrt \frac{x}{y}}

Answer:

Ask your teacher. sorry, this is so hard

Solving a system of equations we can see that:

We can use the variables:

x = mass of the 60% solution.

y = mass of the 85% solution.

We can write a system of equations.

x + y = 70

x*0.6 + y*0.85 = 70*0.8

We can isolate x on the first equation to get:

x = 70 - y

Replace that in the other one:

(70 - y)*0.6 + y*0.85 = 70*0.8

Now we can solve this for y.

y*0.25 = 70*0.8 - 70*0.6

y = 14/0.25 = 56

Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

Answer:

0.42

Step-by-step explanation:

To solve the problem, we need to add the probability of picking a club to the probability of picking a face card, and then subtract the probability of picking a club that is also a face card (because we would have counted it twice).

There are 13 clubs in a standard deck, so the probability of picking a club is 13/52 or 0.25.

There are 12 face cards (4 jacks, 4 queens, and 4 kings) in a standard deck, so the probability of picking a face card is 12/52 or 0.23.

However, there are 3 cards that are both clubs and face cards (the jack of clubs, queen of clubs, and king of clubs), so we need to subtract the probability of picking one of those cards. There are 3 of them out of 52 total cards, so the probability of picking a club that is also a face card is 3/52 or 0.06.

Therefore, the probability of picking a club OR a face card is:

0.25 + 0.23 - 0.06 = 0.42 (rounded to two decimal places).

So the answer is 0.42.

Hey there!

70 minutes

= 1 hour 10 minutes

2 hours

= 60 minutes * 2 minutes

= 60 minutes + 60 minutes

= 120 minutes

70/120

= 70 ÷ 10 / 120 ÷ 10

= 7 / 12

Therefore, your answer is: 7:12 OR 7/12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The values of tht missing part of the triangle are;

A= 20.9°

a = 13.06

c = 33.6

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side c

sinB/b = sinC/c

sin45.9/26.30 = sin113.2/c

csin 45.9 = 26.30 × sin113.2

0.718c = 23.90

c = 23.90/0.718

c = 33.6

Angle A = 180-(113.2+ 45.9)

angle A = 20.9°

sinA/a = sinB/b

sin20.9/a = 0.718/26.30

0.357 × 26.30 = 0.718a

a = 9.389/0.718

a = 13.06

Therefore A = 20.9°

a = 13.06

c = 33.6

learn more about sine rule from

https://brainly.com/question/20839703

#SPJ1

Answer:

48 years old

Step-by-step explanation:

Let x = Mikhail's age

then x-15 = Gabrielle's age

x + x-15 = 81

2x-15 = 81

2x = 96

x = 48 years old

Answer:

44

Step-by-step explanation:

x+(x-12)=76

2x-12=76

2x=76+12

2x=88

x=88/2

x=44

Answer:

42

Step-by-step explanation:

3×14=42

7×6=42

42÷2=21

Please correct me if I'm wrong:)

An even  2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10 is, 42

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

An even 2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10.

Now, Let 2 - digit even number between 40 and 90 are,

⇒ 42, 44, 46, 68, 50, 52, ... 88

Clearly, The number 42 is an even 2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10.

Thus, An even 2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10 is, 42.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

Answer:

x = 6

Step-by-step explanation:

∠ DBC + ∠ ABC = ∠ ABD , substitute values

5x - 4 + 8x - 3 = 79

13x + 1 = 79 ( subtract 1 from both sides )

13x = 78 ( divide both sides by 13 )

x = 6

Answer:

x= -5/2 or -5.2

Step-by-step explanation:

you know the equation: y=mx+b, so we can substitute the -3 for x, the 7 for y and the -4 for m:

7=-4(-3)+b

now solve:

7=12+b

subtract 12 on both sides:

b=-5

now what you want to do is substitute it in and solve for x:

y=-4x-5

so:

5=-4x-5,

solve:

10=-4x

x=-5/2!!!!!!!!!!!!!!

hope this helped :)

Answer:

750 miles

Step-by-step explanation:

Step one:

Given data

we are told that the hummer gets to 300miles on 20 gallons of gas

Required

The distance that the Hummer can go on 50 gallons of gas

Step two:

if 20 gallons gets to 300miles

the 50 gallons will get to x miles

cross multiply we have

\(x= 50*300/20\\\\x=15000/20\\\\x=750 miles\)

The statement translated to an algebra equation will give the value of the unknown number w = 11/5

Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.

Let us represent the unknown number with the letter w so that the statement can be written as the equation:

5w - 8 = 3

add 8 to both sides

5w - 8 + 8 = 3 + 8

5w = 11

divide through by 5

5w/5 = 11/5

w = 11/5

Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5

Read more about algebra here: https://brainly.com/question/4344214

#SPJ1

Answer:

$302.40

Step-by-step explanation:

Answer:

284.90 or 285

Step-by-step explanation:

you would multiply the savings account by the ROR.

savings: $8,400

ROR: 3.4%

8,400 x 3.4% = 285 (which is 284.90 rounded)

The number of pages that Hank and his partner still have to write is 7.5 pages.

Given that Hank and his partner are writing a 20 page history report and they complete 25% of the report in class, the pages remaining will be:

= 20 - (25% × 20)

= 20 - 5

= 15 pages.

Then they complete 50% of the remaining pages afterschool, the pages left will be:

= 15 - (50% × 15)

= 15 - 7.5

= 7.5

They've 7.5 pages left.

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

Answer:

16 Inches

Step-by-step explanation:

An Isosceles Triangle has two equal sides. A line drawn from the altitude to the base (where the base is the third unequal side) divides the base into two equal parts.

Therefore, the right triangle formed by this problem is a right triangle with a base of 12 inches. We are required to calculate the height, h of the right triangle.

(b)Using Trigonometric ratios

\(\tan 53^\circ =\dfrac{h}{12}\\ $Cross multiply\\h=12 \times \tan 53^\circ\\h=15.9 \approx 16$ Inches\)

Answer:

Picture 1:

Area of cemicircle 2 π = 6.28 sq.m (approximately)

Total area of figure = 24+6.28= 30.28 sq.m (approximately)

Picture 2:

area of rectangle = 256 sq.m

Area of triangle = 32 sq.m

Total area of figure = 288 sq.m

Picture 3:

Area of top rectangle = 2 sq ft

Area of bottom rectangle = 15 sq ft

Total area of figure = 17 sq ft

Picture 4:

Area of rectangle = 28 sq ft

Area of triangle = 6 sq ft

Area of shaded region = 22 sq ft

Answer:

D) 2

Step-by-step explanation:

Answer:

The answer is 8

The estimated answer is eight. Here‘s what I did. First, I rounded twenty three and forty-one hundredths to twenty-three. Then I rounded three and one-tenths to three.

I couldn’t quickly find an answer to twenty-three divided by three. So, I used compatible numbers, twenty-four divided by three… which equals eight.

Answer:

4,000

Step-by-step explanation:

If there is 4 liters and 1,000 milliliters is in each liter then the answer would be 4,000. As for this you just do 1,000 x 4 because there is 4 liters.

Answer:

4000 ml

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

Suppose that we have a point (x, y)

If we do a dilation with a center in the origin of scale factor K, then the new coordinates of our point will be:

(k*x, k*y)

If k > 1, we have an elargement.

if 0 < k < 1, we have the opposite case.

Now, suppose that one random vertex of the preimage is A (a, b)

Then after we do the dilation, the new coordinate of this vertex will be:

A' = (k*a, k*b)  (this is, the original coordinates multiplied by the scale factor)

And this will happen for all points actually, so particularly the corresponding coordinates of the vertices of the image are the vertices of the preimage multiplied by the scale factor.

Then the correct option is C

Answer:

x= hotdogs

y=tacos

Step-by-step explanation:

(3.50)x+ 3x + 4y= 63

The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:

P(A | Male) = P(Male | A) × P(A) / P(Male)

We can find the values of the terms in the formula using the information given in the table:

P(Male) = (25/54) = 0.46 (the proportion of all students who are male)

P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')

P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')

Therefore, plugging these values into the formula:

P(A | Male) = 0.18 × 0.31 / 0.46

P(A | Male) ≈ 0.12

So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

for such more question on probability

https://brainly.com/question/13604758

#SPJ11