(The following math problem is from my math book)

Select TWO questions that can be answered by calculating 2 1/4 ÷ 3/8.

A. Sarah has 214 cups of sugar. A recipe she makes requires 38 cups of sugar per batch. How many batches can Sarah make with the sugar she has?

B. There were 214 pizzas in the kitchen. Martina and her friends ate 38 of the pizza. How many pizzas were left?

C. Ivan makes 214 quarts of salad dressing. Vinegar makes up 38 of the volume of the salad dressing. How many quarts of vinegar did Ivan use?

D. Junior ran 214 miles today. This is 38 the distance he ran last weekend. How many miles did Junior run last weekend?

E. A 38-ton load is placed in a 214-ton truck. How much does the truck weigh with the load in it?

Answers

Answer 1

Answer:

1/6=6

Step-by-step explanation:

Conversion a mixed number 2 1/

4

to a improper fraction: 2 1/4 = 2 1/

4

= 2 · 4 + 1/

4

= 8 + 1/

4

= 9/

4

To find new numerator:

a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4/

4

= 8/

4

b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9

c) Write a previous answer (new numerator 9) over the denominator 4.

Two and one quarter is nine quarters

Divide: 9/

4

: 3/

8

= 9/

4

· 8/

3

= 9 · 8/

4 · 3

= 72/

12

= 12 · 6/

12 · 1

= 6

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/

8

is 8/

3

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, , cancel by a common factor of 12 gives 6/

1

.

In words - nine quarters divided by three eighths = six.


Related Questions

PLZ HELP ILL GIVE BRAINLY!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

(3-[tex]\sqrt{2[/tex])(3+[tex]\sqrt{2[/tex])

=(3)^2-([tex]\sqrt{2[/tex] )^2

=9-2

=7

The correct answer is C

The numbers m, n, p, and q are different, and
each is equal to one of the numbers 1,2,3,6, or 12. If 2m 69 = 2n= = P, what is the value of p?

Answers

Confused a bit, can you make sure you copy and pasted it right?

can somebody help me pleeaaassseee? 5 star rate

Answers

Answer:

x < 3/14

Step-by-step explanation:

-14x > -3

divide each side by -14

however, whenever multiplying or dividing an inequality by a negative value then you must reverse the inequality symbol

x < 3/14

Answer:

divide by -14:

[tex]x<3/14[/tex]

when you divide by a negative the sign flips

Find the slope of the line that passes through the pair of points
(3,-3), (3,-4)
A undefined
B 0
C -7/6
D -6/7

Answers

Answer:

undefined

Step-by-step explanation:

To find the slope through 2 points

m = ( y2-y1)/(x2-x1)

   = ( -4 - -3)/(3 - 3)

    = ( -4+3)/(3-3)

    = -1/0

Since it is a number divided by zero, the slope is undefined

I NEED HELP ASAP PLEASE !!!!!

Answers

The answer is okay X=6

12 men or 15 women can do a piece of work in 21 days find the number of days to complete the same work by 6 men and 10 women​

Answers

18 days required to complete same work by 6 men and 10 women.

Given: 12 men or 15 women can complete work in 21 days
To find: Days it takes to complete same work by 6 men and 10 women

Solution:
12 men = 15 women ⇒ 1 man
Men = women
Men =
15 women can finish the work by 21 days
6 men = women
6 men =
6 men and 10 women = =
women can finish the work= = 18 days.

Hope I helped have a good day

In which quadrant is the point (-5, -4) in?

III
IV
II
I

Answers

Answer:

quadrant 3

Step-by-step explanation:

only quadrant 3 contains both negative values for x & y

Answer:

III

Step-by-step explanation:

First, remember the order of the quadrants; quadrant I is in the top right corner then the quadrants increase moving counterclockwise. So, the third quadrant is the bottom left. Each quadrant consist of (x,y) values of different signs.

They are as follows:

I - (x,y)

II - (-x,y)

III - (-x,-y)

IV - (x,-y)

Since, (-5,-4) has two negative coordinates, it must be in the III quadrant.

¿ Cuál es la ecuación de la circunferencia que pasa por punto (-4,2) y
su diámetro es 8 ?

Porfaaaa

Answers

Answer:

(x+4)² + (y-k) ² = 16

Step-by-step explanation:

The equation of the circumference is expressed as;  

(x-h) ² + (y-k) ² = r²

(h,k) is the centre

r is the radius

Given that diameter = 8

radius = 8/2

radius = 4units

Given that h = -4 and k = 2

(x-h) ² + (y-k) ² = r²

(x-(-4)) ² + (y-2) ² = 4²

(x+4)² + (y-k) ² = 16

This gives the required equation

someone help plsplspls

Answers

Answer/Step-by-step explanation:

Volume of a cone = ⅓*π*r²h

Where,

Radius (r) = 7 mm

Height (h) = 8 mm

Plug in the value into the equation

V = ⅓*3.14*7²*8

V = ⅓*3.14*49*8

V = 410.293333

V ≈ 410.3 mm³ (nearest tenth)

what is the remainder of f(x)=x^4-2x^3-27x^2-9x+18 when divided by binomial x+4

Answers

Answer:

The remainder will be 6.

Step-by-step explanation:

We have the function:

[tex]f(x)=x^4-2x^3-27x^2-9x+18[/tex]

And we want to find the remainder after it is divided by the binomial:

[tex]x+4[/tex]

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (x - a), then the remainder will be given by P(a).

Here, our divisor is (x + 4). We can rewrite this as (x - (-4)).

Therefore, a = -4.

Then according to the PRT, the remainder will be:

[tex]f(-4)=(-4)^4-2(-4)^3-27(-4)^2-9(-4)+18=6[/tex]

The remainder will be 6.

Help Please Pythagorean Theorem

Answers

Answer:

1. x = 15

2. x = 26

3. x = 7.6157731059 (you can round this answer to 8 or 7.6)

4. x = 11.7

5. x = 25

6. x = 1.4

7. x = 22.5

8. x = 38.4

9. x =  10.3    v = 5.8

For some of them, I had to use estimation.  

I used this formula : a^2 + b^2 = c^2

Help me for 40 points. Thank you very much

Answers

Answer:

answer is 11/16 plz give me brainlist

Si alicia se gasta 2 pesos, le quedaría el doble de dinero que si se gastara 4 pesos ¿cuantos tiene alicia?

Answers

Answer:

La cantidad de dinero que tiene Alicia es 6 pesos.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones lineales, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema. Es decir, se debe buscar los valores de las incógnitas, con los cuales al reemplazar, deben dar la solución planteada en las ecuaciones.

Siendo:

x= cantidad de dinero que tiene Alicia.y= dinero que le quedaría a Alicia si gasta 4 pesos.

Entonces el sistema de ecuaciones a resolver es:

[tex]\left \{ {{x-2=2*y} \atop {x-4=y}} \right.[/tex]

Sustituyendo la ecuación 2 en la primer ecuación:

x-2= 2*(x -4)

Resolviendo:

x -2= 2*x -2*4

x -2= 2*x -8

-2 + 8= 2*x -x

6= x

Entonces, la cantidad de dinero que tiene Alicia es 6 pesos.

A rectangle has an area of square unit inside length of 2 1/4 unit find the other side length of the Rectangle

Answers

Answer:

Therefore, the other side length of the Rectangle b = 4 (4/9)

Step-by-step explanation:

Although crucial information that area of the rectangle is missing we can assume it be 10 square units for understanding purposes.

Let the sides of the rectangle be a and b.

Given a = 2 1/4 units

a = 9/4 units

b=?

Area of a rectangle = product of its sides = a×b

⇒ a×b= 10

⇒ 9b/4 = 10

⇒ b= 40/9 = 4 (4/9)

Therefore, the other side length of the Rectangle b = 4 (4/9)

What is the perimeter of a rectangle whose length is 1472 m and breadth is 1072 m ?

2472 m
4872 m
25 m
50 m

Answers

Answer:

5088 is the perimeter of the rectangle.

Answer:

5088 is the right answer

The formula of perimeter of rectangule is 2(l+b)

So, l=1472 b=1072

2(1472+1072)

2(2544)

2×2544 IS 5088

Bernardo is converting a fraction, StartFraction a Over b EndFraction, to a percent. Both a and b are whole numbers and not equal to zero. Which expression represents the percent? (a divided by b) divided by 100
(b divided by a) divided by 100
100 (a divided by b)
100 (b divided by a)

Answers

Answer:

100(a/b)

Step-by-step explanation:

Fraction

a/b

To a percent

100(a/b)

Answer:

100(a/b)

________________

took the test review

(got 100%)

1\tfrac{2}{5} \div \frac{8}{9}
1 5/2 ÷ 9/8

Answers

Answer:

Step-by-step explanation:

What you wrote below the top line and the bottom line are not the same thing.

I think you really want the second line, but one can't be sure.

(1*2 + 5)/2 div (9/8)

7/2 // 9/8

7/2 * 8*9

7*8/18 = 56/18 = 28/9

If you really do want the top line (the latex) it is different.

1 2/5  div (8/9)     Is there such a thing as tfrac? I didn't know this but there is.

(1*5 + 2)5 // (8/9)

7/5 // 8/9             Invert the bottom fraction and multiply

7/5 * 9 / 8

63 / 40

1 23/40

Write the equation of a line passing through (-4.3) and perpendicular to -6x + 4y =-12.

Answers

Answer:

y=-2/3*x+1/3

Step-by-step explanation:

-6x+4y=-12

put into y=mx+b line equation

4y=6x-12

y=(6/4)x-(12/4)

y=(3/2)x-4

slope is 3/2

to find perpendiular line slope take the negative inverse.

-(2/3) = slope of perpendicular line

use line equation and solve for y-intercept (b)

3=(-2/3)*(-4)+b

3=8/3+b

b= 9/3-8/3 = 1/3 : 3 = 9/3 to allow for subrtaction of fractions.

If f(x) = 3x + 4, what is the value of f(-4)?

Answers

Answer:

-8

Step-by-step explanation:

f(x) = 3x + 4

substitute -4 in place of x

f(-4) = 3*-4 + 4

f(-4) = -12 + 4

f(-4) = -8

Can you solve this graph problem?
a) what is the difference in temperatures between 7 am to 5 pm
b) which part of the day was the temperature rising the fastest a, b, c, d, or e?

Answers

Answers:

a) The difference in temperature is 25 degrees Fahrenheit. b) The temperature was rising fastest during interval 'a'

=========================================================

Explanations:

a) We subtract the y coordinates of the left and right endpoints. We get 65-40 = 25b) The fastest rising temperature will visually correspond to the steepest part of the curve. That would be region 'a'. After this interval, region b is still increasing, but not as much as the previous interval (since it's not as steep here). Then it gets less steep for region c, and d sort of flattens out as well. So during the morning hours it appears the temperature is going up the fastest.

Debbie is making 16 cakes for a large
banquet. The cake recipe calls for 1.5
cups of milk for one cake. How many
quarts of milk should Debbie
purchase at the store to have enough
for all of the cakes?

Answers

Answer:

12 tablespoons

Step-by-step explanation:

because 3/4 of 16 tablespoons is 12

Answer:

6 Quarts of milk!

Step-by-step explanation:

Do 1.5 cups times 16 to get 24 cups. Then you covert cups to quarts to get an answer of 6. I hope this helped you, have a nice day!! :)

identify the postulate (if any) that can be used to show the two triangles are congruent.

Answers

Answer:

Step-by-step explanation:

1)  SSS

2) SAS

3) SSA

4) SSA  

no, don't say  Angle Side Side... :P  

between what two consecutive integers is 17?

Answers

Answer:

No solution

Step-by-step explanation:

17 is an integer that is in between the integers of 16 and 18

16 and 18 are not consecutive integers.

No solution

Create a proportion using the form %/100 = is/of to represent the following word problem.

14 is what percent of 50?

x/100 = 14/50
14/100 = x/50
14/100 = 50/x
x/100 = 50/14

Answers

Answer:

x/100 = 14/50

Step-by-step explanation:

x is %

14 is x % of 50

C is your answer :) trust my friend

Can someone please help me out with my homework
ASAP I WILL GIVE OUT BRAINLY

Answers

Answer:x

=4

permiter=6

area=24

Step-by-step explanation:

Answer:

x = 8, area = 364 km^2, perimeter = 80 km

Step-by-step explanation:

to start, we have to recognize that opposite sides of a rectangle are congruent.

therefore ➪

2x + 10 = 4x - 6

2x + 16 = 4x

16 = 2x

x = 8

now just plug that in and you'll find ➪

length = 26km

width = 14km

area = l * w

area = 26 * 14

area = 364 km^2

perimeter = 2(l + w)

perimeter = 2(14+26)

perimeter = 80 km

What is the same as writing that “Angles 5 and 6 are supplementary adjacent angles”?


Angles 5 and 6 are not next to each other and sum up to 180°.

Angles 5 and 6 are not next to each other and sum up to 90°.

Angles 5 and 6 are next to each other and sum up to 180°.

Angles 5 and 6 are next to each other and sum up to 90°.

Answers

Answer:

Angles 5 and 6 are next to each other and sum up to 180°.

Step-by-step explanation:

supplement means adding up to 180

Angles 5 and 6 are next to each other and sum up to 180°.

Step-by-step explanation:

supplement means adding up to 180

Can someone simplify? I'm confused-

Answers

(64/56)^2 x (1/343) x 7^-9

=9.44x10^-11

ILL MARK AS BRAINLESS PLS HELP

Answers

Answer:

95-3^4=14

Step-by-step explanation:

3^4=81

95-81=14

Part A: 176

Part B: First, I did is multiple 3 to the common denominator by 4 times with the same number and that would give you a positive number of 81, then I combined 81 with 95 and your solution is 176.

Step-by-step explanation:

Part A:

-3^4 = -3x-3x-3x-3

-3^4 = 81

95+81 = 176

find the value of a and b in x^2+2x=13

Answers

Answer:

a =1  and b =2

Step-by-step explanation:

The standard quadratic is written in the form

ax^2 +bx+c =0

x^2 +2x -13 =0

a =1  and b =2

The graph below represents which system of inequalities?

Answers

Answer:

Graphing Systems of Linear Inequalities

To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. ...

If the inequality is strict ( < or > ), graph a dashed line. ...

Finally, pick one point that is not on either line ( (0,0) is usually the easiest) and decide whether these coordinates satisfy the inequality or not.

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