Adair had 6 1/2 cups of tomato juice. He used 4/5 of the juice to make soup. How many cups of tomato juice did Adair use to make soup?

Answers

Answer 1

Adair used 4/5 of 6 1/2 cups of tomato juice. To figure out this amount, we must multiply 4/5 by 6 1/2.

However, first we must convert 6 1/2 from a mixed number to an improper fraction to simplify the multiplication process. To do this, we have to multiply the whole number (6) by the denominator (2) and then add the numerator (1).

6*2=12, 12+1=13. Therefore, 6 1/2 = 13/2.

Now, we must multiply 4/5 by 13/2 to figure out how much tomato juice Adair used. To do this, we must multiply the two numerators and the two denominators together and simplify the resulting fraction.

4/5 * 13/2 = 4*13/5*2=52/10

To simplify 52/10, we must find the GCF, or greatest common factor of 52 and 10, which is 2.

52/2 = 26, 10/2 = 5, 52/10 = 26/5.

Therefore, Adair used 26/5, or 5 1/5 cups of tomato juice in his soup.

Hope this helps!

Answer 2

Final answer:

To find how many cups of tomato juice Adair used to make soup, we multiply the fraction representing the portion of tomato juice used (4/5) by the total amount of tomato juice Adair had (6 1/2 cups). The answer is 5 1/5 cups.

Explanation:

To find how many cups of tomato juice Adair used to make soup, we need to multiply the fraction representing the portion of tomato juice used (4/5) by the total amount of tomato juice Adair had (6 1/2 cups). First, we can convert 6 1/2 cups to an improper fraction: 6 1/2 = 13/2 cups. Next, we multiply the fractions: 4/5 * 13/2 = 52/10 = 5 2/10 = 5 1/5 cups.

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Related Questions

The pyramid shown has a square base that is 14 centimeters on each side. The slant height is 15 centimeters. What is the surface area of the pyramid?

Answers

we know that

[surface area of the pyramid]=area of the base+4*[area of one lateral triangle]
area of the base=14*14------> 196 cm²

area of one lateral triangle=b*h/2
b is the length side of the square
b=14 cm
h is the slant height
h=15 cm
area of one lateral triangle=14*15/2-----> 105 cm²

[surface area of the pyramid]=196 cm²+4*[105 cm²]-----> 616 cm²

the answer is
616 cm²

Find the area of the circle in terms of Pi

Answers

Let's start with the area of a circle formula: A = pi * r^2, where r is the radius. The radius is half the diameter. Since the diameter here is 6, the radius is 3. Now we can start solving!
1) A = pi* (3^2)
2) A = 9pi
The area in terms of pi is 9pi cm^2.
I got 9pi cm^2, but it is always helpful to double check work. Hope this helps!

The area of the circle: [tex]A=\pi r^2[/tex]

r - the radius

We have the diameter of the circle: d = 6cm.
d = 2r, therefore

2r = 6cm → r = 3cm

Substitute to the formula:

[tex]A=\pi\cdot3^2=9\pi\ cm^2[/tex]

Arnob may want to borrow his cousin’s tent, which is shown below. He needs to determine x, the center height of the tent, to determine if it will be large enough for his camping trip. (Picture below)

What is the center height of this tent, to the nearest tenth of a foot?

4.1 feet
8.1 feet
9.8 feet
12.0 feet

Answers

In this question, we will use Pythagoras theorem in order to find the height of the tent.

The center height of tent is 8.1 feet.

What is right triangle?

Right triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

What is Pythagoras theorem?

A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular² + base² = hypotenuse²

Given,

Side length of each triangle = 4 feet

Hypotenuse of each triangle = 9 feet

Shared side = x

Given the triangles are right angled,

According to Pythagoras theorem,

a² + b² = c²

Here, a = 4 , b = x , c= 9

Substitute the values in Pythagoras theorem,

4² + x² = 9²

16 + x² = 81

x² = 81 - 16

x² = 65

Taking square root on both sides

x = √65

x = 8.062

x = 8.1 (Rounding nearest tenth)

Hence, the center height of tent is 8.1 feet.

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Given a mean of 24.5 and a standard deviation of 1.7, within how many standard deviations of the mean do the values 24, 23, 28, 23, 24, and 25 fall?

Answers

It would be 3. I hope this helps!

Given mean = 24.5 and standard deviation = 1.7

Within 1 standard deviations, x ∈ [24.5 - 1.7 , 24.5 + 1.7] or [22.8 , 26.2].

Within 2 standard deviations, x ∈ [24.5 - 2(1.7) , 24.5 + 2(1.7)] or [21.1 , 27.9].

Within 3 standard deviations, x ∈ [24.5 - 3(1.7) , 24.5 + 3(1.7)] or [19.4 , 29.6].

Given values are 24, 23, 28, 23, 24, and 25.

So {24, 23, 23, 24, 25} fall within 1 standard deviation and {28} falls within 3 standard deviations.

"suppose that it is decided to reject the null hypothesis if the sample mean time lag is less than 18.5 days. what is the probability of type i error if the population mean time lag is 20 days?"

Answers

answer : 17
.......... .

Answer:

Step-by-step explanation:

Can someone tell me if I got this answer correct? If not, what is the correct answer?

Answers

replace x with the given value and solve each:

A) 9^2 *9-2 = 81 * 7 =567

B) 2^2 * 2-2 = 4 *0 = 0

C) 4^2 * 4-2 = 16 * 2 = 32

D) 2-2 *2^2 = 0*4 = 0

the correct answer is D

hello can you please help me posted picture of question

Answers

There are 4 seats in total.

There are 4 ways to fill 1st seat.
When 1st seat is filled, there will be 3 ways to fill the second seat.
Similarly there will be 2 ways to fill the third seat and 1 way to fill the last seat.

So, total number of ways the seats can be filled = 4 x 3 x 2 x 1 = 24 ways.

Therefore, the correct answer is option A

John's monthly salary is 7,000. If John deposits 0.75 of his paycheck into a savings account. How much money does he put in his savings account every month?

Answers

John deposits $5,250 into his savings account every month, which is 75% of his monthly salary.

The student's question is about how much money John deposits into his savings account from his monthly salary. To solve this, we calculate 0.75 (or 75%) of John's monthly salary of 7,000.

Calculation: 0.75 imes 7,000 = 5,250

So, John deposits $5,250 into his savings account every month.

Jaimie purchased a condo at naples Florida for 699000. She put 20 % down and financed the rest at 5% for 35 yrs what are Jaime total finance charges

Answers

Asked and answered elsewhere.
https://brainly.com/question/10177253

Finance charges are about $626,128.20.

Given: ΔSTQ, ST = TQ
Line SD is perpendicular to TQ
m∠1=32°
Find: m∠S, m∠T, m∠Q

Answers

Answer: m∠S = 58 ° ; m∠T = 64 ° ;  m∠Q = 58 ° .
__________________________________________________________

Explanation:
__________________________________________________________

To find "m∠Q" :

Consider the triangle formed by ∠D , ∠1, and ∠Q ;

Given m∠1 = 32° ;

and m∠D = 90° (a "right triangle" ; as shown in "image attached" ;

and by definition, all triangles have 3 angles and 3 sides; and all 3 angles of a triangle add up to 180° ;

→ m∠Q =  180 − (90 + 32) = 180 − 122 = 58 ;
_______________________________________________________

Since this is an "isosceles triangle" ;

→ m∠S = m∠Q = 58° .

Since all angles of any triangle add up to " 180° " ;

→ m∠T = 180 − (58 + 58) = 180 − 116 = 64 ;
____________________________________________

Answer: m∠S = 58 ° ; m∠T = 64 ° ;  m∠Q = 58 ° .
____________________________________________

Answer:

s=58 degrees, Q=58 degrees, T=64 degrees

Step-by-step explanation:

Consider the triangle formed by ∠D , ∠1, and ∠Q ;

Given m∠1 = 32° ;

and m∠D = 90° (a "right triangle" ; as shown in "image attached" ;

and by definition, all triangles have 3 angles and 3 sides; and all 3 angles of a triangle add up to 180° ;

→ m∠Q = 180 − (90 + 32) = 180 − 122 = 58

A) suppose you will receive $200 in 16 years. how much money in year 6 is equivalent to this amount?

Answers

$200=16
simplify
200/16=12.5
12.5*6=75
Answer = 75

The product of two consecutive even integers is 120. Find the interfere

Answers

the correct question is
The product of two consecutive even integers is 120. Find the integers

let
x-----------> first even integer
x+2-------> second consecutive even integer

we know that
x*(x+2)=120-------> x²+2x-120=0

using a graph tool----> to resolve the second order equation
see the attached figure

the solution is
x=10

therefore
first even integer is 10
second consecutive even integer is (10+2)----> 12

the answer is
10 and 12

The dot plot shows the number of goals that the Springlane High School soccer team scored per game last season. How many games did the team play?

Answers

Answer:

Step-by-step explanation:

it shows 16 dots but it keeps saying i get it wrong

Answer:

Step-by-step explanation:

Plato ( just put 16 nothing extra “

the dump truck weighs 18 tons when filled. at the same time the dump truck is being filled, an identical truck filled to capacity is being emptied at a rate of 1/8 ton per minute. how much sad is in each dump truck when the trucks are the same weight

Answers

2.25 tons would be without sand

Answer:2 .25 Tons

Step-by-step explanation:

Weight of truck + sand when filled= 18 tons

Discharge rate per minute= 1/8 tons/ minute

Quantity of sand in the truck will be:

1/8tons per minute×18tons = 9/4 = 2.25tons

Mason earns $70,000 per year and puts 7% of his earnings into a savings account. What is the total amount in Mason's account after 1 year if the interest rate is 3%?
A. $147
B. $72,100
C. $5,047
D. $2,100

Answers

The answer is B. $5,047.

Annual income of Mason is 70,000 dollars.

He saves 7% of his annual earnings into a saving account.

So, his savings would be 7% of 70,000 = 0.07 x 70,000 = 4,900 dollars.

The saving account gives an interest rate of 3% per annum.

So the interest accrued on 4900 dollars over the year would be 3% of 4,900 = 0.03 x 4,900 = 147 dollars.

Total amount in the saving account would be sum of principal amount and interest accrued.

Total balance = principal amount + interest accrued.

Total balance = 4900 + 147 = 5,047 dollars.

Hence, option C is correct i.e. 5,047 dollars.

1. Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is NOT replaced before selecting the second slip of paper. What is the probability of selecting and odd number and then a number greater than 9? 1/2 1/18 6/10 3/25

2. The probability of drawing two white cards without replacement is 14/95, and the probability of drawing one white card is 2/5. What is the probability of drawing a second white card, given that the first card is white? 52/95 7/19 7/38 28/475

3. Kim rolls a 6-sided number cube. What is the probability she rolls a number greater than 3 or a 1? 2/3 1/2 1/12 1/3

Answers

1. If we get an odd number first (probability 5/10 = 1/2), then the only way to get a number greater than 9 is the 10 (probability 1/9, since only 9 papers remain). This gives 1/2 * 1/9 = 1/18.

2. We would expect that P(2 white cards) = P(1 white card)*P(2nd white card given 1 white card).This gives the equation 14/95 = 2/5 * x
Solving for x gives x = 7/19.

3. There are a total of 4 favorable results: 1, 4, 5, 6. Out of the 6 possibilities, this is a probability of 4/6 = 2/3.

The scores on a university examination are normally distributed with a mean of 62 and a standard deviation of 11. if the bottom 5% of students will fail the course, what is the lowest mark that a student can have and still be awarded a passing grade? give the answer that is closest to the exact number.

Answers

The lowest score will be obtained as follows:
the z-score is given by:
z=(x-μ)/σ
where:
σ-standard deviation
μ- mean

we are required to evaluate for x, given that P(x<X)=0.05
The value of z that corresponds to 5% will be:
z=-1.65
thus plugging our values we obtain:
-1.65=(x-62)/11
solving for x we get:
-18.15=x-62
thus
x=-18.15+62
x=43.85
x~44
Thus the lowest score is 44

The lowest marks that a student can have and still be awarded a passing grade is 44.

Step-by-step explanation:

Given :

Mean, [tex]\mu = 62[/tex]

Standard Deviation, [tex]\sigma = 11[/tex]

Calculation :

z score is given by,

[tex]z = \dfrac{x-\mu }{\sigma}[/tex] ----- (1)

Value of z corresponds to 5% is,

[tex]z =-1.65[/tex]

from equation (1) we get,

[tex]-1.65=\dfrac{x-62}{11}[/tex]

[tex]x=43.85[/tex]

[tex]\rm x = 44 \;\;(Approx)[/tex]

The lowest marks that a student can have and still be awarded a passing grade is 44.

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Sunny's garden has 9 tomato plants, 5 pepper plants, 3 squash plants, and 6 pumpkin plants. For every 3 tomato plants in Sunny's garden, there is 1 ____ plant.

Answers

9 total tomato plants / 3 plants = 3

from the list of plants there are 3 squash plants

3 squash plants x 3 tomato plants = 9 total tomato plants

the answer is Squash Plants

Answer: Squash plant is the right answer to fill the blank.

Step-by-step explanation:

Since we have given that

Number of tomato plants = 9

Number of pepper plants = 5

Number of squash plants = 3

Number of pumpkin plants = 6

Since the ratio of tomato plants to squash plants is 9 : 3 = 3 : 1.

So, for every 3 tomato plants in Sunny's garden, there is 1 squash plant.

Hence, Squash plant is the right answer to fill the blank.

Please help !!!!!!!!

Answers

f(x) = 1/2x +4
replace f(x) with y
y = 1/2x+4

switch x and y
x = 1/2y +4

solve for y

multiply both sides by 2
2x = y+8

subtract 8 from both sides
2x-8 = y

rewrite with y on the left side: y = 2x-8

replace y with f(x)^-1 (inverse notation)
f(x)^-1 = 2x-8

solve for f^-1(4)
replace x with 4 in the equation and solve:
2(4) -8 = 8-8 = 0

On the assembly line it takes 2 ½ minutes to complete task one, 3 minutes 10 seconds to complete task two and 1 minute to complete the last task to make an item.How many items can be completed in 25 minutes?

Answers

Task 1 ----- [tex]2 \frac{1}{2} [/tex]minutes
Task 2 ----- 3 min 10 sec = 3+10/60 = [tex] 3\frac{1}{6} [/tex] minutes
Task 3 ----- 1 min
Total time to make 1 item = [tex]2 \frac{1}{2} [/tex] + [tex]3 \frac{1}{6} [/tex] +1 = [tex]6 \frac{2}{3} [/tex]minutes

In 25 minutes;

Number of items made = 25/(6 2/3) = 3.75 items = 3 items (since only a fully assembly can be regarded as an item).

find the range for the given data in 115, 534, 122, 599, 417, 289 A) 534 B) 167 C)115 D)484

Answers

The answer is 484.Or D.

The answer is D) 484

T-Shirts R Us advertises shirts as shown below. mc002-1.jpg Which quantities in the advertisement represent a unit rate?

Answers

Answer:

C.) $10 per shirt

Step-by-step explanation:

have a nice day

The option C is more simplified answer for given condition, unit rate is $10.

What is unit rate?

When comparing two different kinds of numbers with distinct units, a rate is a ratio that is employed. The unit rate, on the other hand, shows how many units of one quantity are equal to one unit of another. When the rate's denominator is 1, we refer to the rate as a unit rate.

Given

There are 5 shirts in the image given to us composed of 3 white shirts and 2 black shirts.

A rate with 1 as its denominator is known as a unit rate.

Option A: A ratio of 3:2 or a fraction of 3/2 is indicated by 3 white shirts and 2 white black shirts.

The denominator is not 1, hence this cannot be a unit rate.

Option B: 5 white shirts to 2 black shirts. This cannot be a unit rate because the fraction 2/5 will not have 1 as the denominator.

Choice C: $10 for each shirt. Because it represents a ratio of 10:1 or a fraction of 10/1, this rate is a unit rate. Therefore, the price of 5 shirts will be $50.

D: $50 for each shirt. Because option C has provided us with a more straightforward sum of $10, which we must accept as we are dealing with unit rates, this would not be a unit rate in this question.

Hence Option C is most suitable answer.

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The complete question is in image.

G a family has five children. if it is just as likely to have a boy as a girl, what is the probability that 3 of the children are girls and 2 are boys?

Answers

there is a 3/5 or 60% probability that there will be 3 girls and a 2/5 or 40% probability that there will be boys

20 POINTS!!!

a point is translated 2 units to the right and five units down on the coordinate plane, how will this affect the x- and y- coordinates of the point?

Answers

Let x start out as x
Let y start out as y

The original point is (x , y)
Start with moving the x 2 units to the right.
To the right means going more positive.
x would become x + 2

down means the value is going in the minus y direction you are subtracting 5 from the original y
y - 5 is what you get.

The answer is
(x + 2, y - 5) <<<<<< answer

How do I answer this dot plot?

Answers

It would seem the problem requires you compute the mean, median, and standard deviation of each of the data sets. This is nicely done using the statistics functions of your graphing calculator.

Data Set A (mean, median, standard deviation) = (29.7, 29.5, √12.71)
Data Set B (mean, median, standard deviation) = (27.95, 27, √6.1475)

1. False. Data Set B is skewed to the right.
2. TRUE. 27.95 is within 3 of 29.7.
3. False. √12.71 ≠ √6.1475
4. False. The mean of Data Set A is 29.7.
5. False. Data Set A has the higher standard deviation.
6. TRUE. 29.7 is close to 29.5.

The true statements are
• the 2nd one
• the 6th one

You are laying an asphalt driveway. How much area must you cover if the driveway is 21 feet long and 10.5 feet wide?

Answers

we know that

An asphalt driveway has the shape of a rectangle
so
area of rectangle=long*wide
area=21*10.5-----> 220.5 ft²

the answer is
220.5 ft²

hey can you please help me posted picture of question

Answers

The statement is False,

The function and its inverse are reflected about the line y=x. This means that the x and y values are replaced.

So, if a function has a point (2,3) the same point on its inverse will moved be (3,2). This happens for all the points.

Therefore, the statement is false.

Factor the Following Expression using the greatest common monomial factor. (x^p+2)(y^p+2) + (x^p+2)(y^p-1) + (x^p+1)(y^p+1) + (x^p+1)(y^p-1)

Answers

As written, there is no common monomial factor. We assume you intend to factor ...
[tex]x^{p+2}y^{p+2}+x^{p+2}y^{p-1}+x^{p+1}y^{p+1}+x^{p+1}y^{p-1}\\\\=(x^{p+1}y^{p-1})(xy^{3}+x+y^{2}+1)[/tex]

Simplify 5(7y+2) can someone help me with the steps on how to simplify this problem and answer as an expression

Answers

5(7y + 2)

Distribute (multiply) the 2 to the numbers in the parentheses.

35y + 10

Simplify the expression 6sqrt2/sqrt3

Answers

The answer would be 2√6 and in decimal form 4.898979, I hope this helps!

Hello!

First you factor the 6

[tex] \frac{2 * 3 \sqrt{2} }{ \sqrt{3} } [/tex]

Simplify

[tex]2 \sqrt{2} * \sqrt{3} [/tex]

Multiply the square roots

[tex]2 \sqrt{6} [/tex]

The answer is [tex]2 \sqrt{6} [/tex]

Hope this helps!

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N-acetyl-p-aminophenol describes the molecular structure of a pain reliever commonly known as acetaminophen. What kind of name is N-acetyl-p-aminophenol?generic therapeutic chemical trade Which volume, in cm3 , of 0.20 mol dm-3 naoh (aq) is needed to neutralize 0.050 mol of h2s (g)? h2s (g) + 2naoh (aq) na2s (aq) + 2h2o (l)? Which of the following points are more than 5 vertical units away from the point left-parenthesis 0 comma negative 2 right-parenthesis? Choose all that apply. (2 points) left-parenthesis 6 comma negative 2 right-parenthesis left-parenthesis negative 8 comma negative 2 right-parenthesis left-parenthesis 0 comma negative 8 right-parenthesis left-parenthesis 0 comma 4 right-parenthesis A total of 327 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student tickets sold was two times the number of adult tickets sold. how many adult tickets were sold? The hypothesis that all modern humans descended from an african lineage ____. has been conclusively proven to be correct is supported by mtdna evidence is supported by evidence from the y chromosome has been proven conclusively correct by y chromosome evidence only. is supported by both mtdna and y chromosome evidence. How might foreign investment be problematic for a transitioning economy? The big bend national park covers 800,000 acres. Brazos Bend state park covers about 5,000 acres. About how many more acres does Big Bend National Park cover then Brazos Bend state park? An increase in phosphate levels in a lake increases the population of algae in the lake. Increased algae blocks sunlight into the lake and results in a decrease in dissolved oxygen in the lake's water. Which of the following should be expected as a result? Plant populations in the lake increase More predatory birds feed on lake animals Phosphate levels in the lake decrease Fish populations in the lake decline Consider the square root of 25. Is it rational or irrational? Explain your reasoning. Use a calculator to find the mean and standard deviation of the data. Round to the nearest tenth. 6, 7, 19, 7, 18, 7 Which equation represents a hyperbola with a center at (0,0), a vertex at (0,60), and a focus at (0,-65) I don't understand this problem can you help? Robins scores: 99, 108, 102, 107, 119 Evelyns scores: 125, 137, 138, 145, 145 Find and compare the medians of the data sets. Do the medians support your conclusion that Robin is winning the game? Helium was discovered on earth years after it had been discovered on the sun. a. True b. False Miranda works at a small-batch soda pop manufacturing plant. for eight hours a day, she uses her right hand to lift individual bottles of soda pop off the production line and place them in packing crates. lately her right elbow has been hurting, so she visited her doctor, who diagnosed her with _______. Why was it necessary for ford to have a pre launch campaign? Equal quantities of different liquids are placed in closed manometers at 20 c. which liquid has the highest vapor pressure? Which perspective is most likely to use participant observation as a research method? Functionalist Perspective Conflict Perspective Feminist Perspective Interactionist Perspective Volatile substances used by huffers travel rapidly to the brain, causing dizziness, giddiness, and euphoria. Although these substances are not habit forming, studies show that long-term used can yield brain, kidney, and liver damage. What is this the study of?drug chemistrydrug pharmacokineticsdrug pharmacologytoxicology Based on this phylogeny, which vertebrate groups would you expect to have lungs or lung derivatives? select all that apply.