MATHEMATICS HIGH SCHOOL

For a given recipe, 12 cups of flour are mixed with 24 cups of sugar. How many cups of sugar should be used if 21 cups of flour are used?Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x. PLEASE ANSWER THIS QUICK

Answers

Answer 1
Answer:

42 cups of sugar should be used if 21 cups of flour are used

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

For a given recipe, 12 cups of flour are mixed with 24 cups of sugar

We need to find cups of sugar should be used if 21 cups of flour are used

Let us consider x as cups  of sugar should be used if 21 cups of flour are used

Let us form an equation to find x

12/24=21/x

Apply cross multiplication

12x=21×24

12x=504

Divide both sides by 12

x=504/12

x=42

Hence, 42 cups of sugar should be used if 21 cups of flour are used

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Answer 2
Answer:

Answer:

33 cups of sugar should be used

Step-by-step explanation:

subtract 12 from 21 then add that answer to 24 and you get 33 so 33 cups of sugar should be used

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Matthew is going to drive from Salt Lake City, Utah, to Las Vegas, Nevada. His car travels a consistentnumber of milesper gallon of gasoline and he has some gasoline in his tank already. Matthew writes theequation 25(x + 3) = 424, where x represents the number of gallons of gasoline he will need to purchase tocomplete the trip.Identify the meaning of each of the constants in Matthew's equation in the context of the problem, then solvethe equation to determine how many gallons of gasoline he must purchase.

Bet ill make u a brilliest if u solve it correctly / pls dont post nontification like" report people who ask for joining meet."A car left Kamloops at 9:00 AM and arrived at Vancouver, 340 km away, at 1:15 PM the same day. What was the average speed of the car in km per hour?

Hint: The average speed in km/h is the total distance in km divided by the total time in hours.

Reminder: Calculators are not allowed.

65 km/h
70 km/h
75 km/h
80 km/h
85 km/h
90 km/h
95 km/h

Answers

Answer:

80 km/h

Step-by-step explanation:

From 9:00 am to 1:15 is 4.25 hours.

340 / 4.25 is the average speed.

Without a calculator, we can use long division.

Simplify 24/40 in simplest form

Answers

24/40 in simplest form

24/40    ÷ 2
12/20     ÷ 2
6/10     ÷ 2
3/5 24/40 in simplest form is = 3/5 24/40 = 0.6 as a decimal form 24/40 = 0.6 in 2 decimal places 24/40 = 0.6 to the nearest tenth 24/40 = 0.6 to the nearest hundredth 24/40 = 0.6 to the nearest thousandth
Simplify \n (24)/(40) \ = \ (12)/(20) \ = \ (6)/(10) \ = \ (3)/(5) \n Solution: \ (3)/(5)

The hardcover version of a book weighs twice as much as its paperback version. The hardcover book and the paperback together weigh 4.2 pounds. Which system of equations can be used to find h, the weight of the hardcover book, and p, the weight of the paperback?

Answers

If the weight of hardcover version is double the weight of paperback version then weight of hardcover version is 2.8 pounds and the weight of paperback version is 1.4 pounds.

What is equation?

An equation is a relationship between variables in equal to form. It is evaluated to find the values of variables.

How to solve an equation?

The weight of hardcover book is h

The weight of paperback version is p.

According to question:

h=2p (weight of hardcover version is double the weight of paperback version)

h+ p= 4.2 (weight of hardcover version and weight of paperback version is equal to 4.2 pounds)

Put the value of h=2p in h+ p=4.2

2p+p=4.2

3p=4.2

p=1.4

Put the value of p=1.4 in h=2p to get the value of h

h=2p

=2*1.4

=2.8

Hence the weight of hardcover version is 2.8 pounds and the weight of paperback version is 1.4 pounds.

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Answer:

D

Step-by-step explanation:

on edge 2023

If triangle DEF has a 90° angle at vertex E, which statements are true? Check all that apply.Triangle DEF is an obtuse triangle.
The angle at vertex D is acute.
The angle at vertex F is obtuse.
Triangle DEF is a right triangle.
The angle at vertex D is obtuse.

Answers

draw a diagram (shown below as attachment)

check each option

1st one: obtuse triangle
osbuse means that the triangle has an angle more than 90 degrees
remember that all angles add to 180
90 is one
90+D+F=180
D+F=90
so those 2 mystery angles both have to be less than 90 so therefor none of them can be obtuse
not 1st option


2nd: angle at D is acute
acute means less than 90
so we remember that
D+F=90
no angle can be 0 so let's say F is a very small number like 0.0001
then D would be 89.9999
still less than 90, it is acute
this 2nd optin is right

3rd: angle at F is obtuse
wrong, from 1st one,  no obtuse angles
3rd option is wrong

4th: right triangle
duh, a right triangle has a right angle in it
90 degrees is a right angle
yes
4th optin is right

5th: D is obtuse
naw, fam. no obtuse angles here



the right answers are 2nd and 4th or
The angle at vertex D is acute and
Triangle DEF is a right triangle

Answer:

In other words, A, D.

Step-by-step explanation:

Tom has offered to sell Julian his motorcycle for $1,200. Julian knows this is a very good deal, since the same motorcycle can be purchased at the dealership for $1,800. Since Julian doesn’t have $1,200 and Tom does not accept credit cards, they both think a cash advance might be a good idea. Julian’s credit card company can offer him a cash advance for the $1,200 he needs at an interest rate of 26%. He would then pay off the balance in 24 months. Should Julian use the cash advance to purchase the motorcycle?
a.
No. Julian would be paying too much in interest to warrant using a cash advance.
b.
Yes. Even with the interest, the total cost of the motorcycle would be less than at the dealership.
c.
Yes. The interest rate on the cash advance is low. Julian will not have to pay much interest on the cash advance.
d.
No. The high interest rate on the cash advance would make the purchase of the motorcycle almost twice than the price at the dealership.

Answers

we know that

26\%= (26)/(100) =0.26

the total cost of the motorcycle with Julian's credit card company is equal to

(1+0.26)*\$1,200= \$1,512

the cost of the motorcycle at the dealership is \$1,800

so

\$1,512 < \$1,800

therefore

the answer is the option B

Yes. Even with the interest, the total cost of the motorcycle would be less than at the dealership
I would say that it is a good deal because if we assume that the problem is about simple interest, then Julian will pay 50 per month times 26% of that. If we add up all the sums,, Julian will pay 1200 + a total interest 312 at the end of 24 months. This totals 1512 which is still cheaper than paying 1800 for a bike in the store.

Question number 1 is attached below.

Answers

y= 5x+1. I just learned this yesterday lol
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