a farm loan officer has a four-drawer cabinet. one drawer is 3/5 full, one drawer is 1/2 full, one drawer is 2/3 full, and one drawer is 3/4 full. can the contents be combined into three drawers? explain.

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

3/5, 1/2, 2/3, and 3/4 must be 3 or lower if added together.

We need to find the LCM of the denominators. The LCM, or lowest common multiple, of the denominators is 60. So we have to multiply the fractions by the LCM and add them up.

36 + 30 + 40 + 45 = 151.

60 x 3 = 180.

151 isn't up to 180, so yes. And also, if you divide 151 by 60, you would get 2.52 approximately.


Related Questions

What is the value for x?

Answers

This is an equilateral triangle, so all angles are 60 degrees, we can set 8y + 12 equal to 60, and 7x + 4 = 60
To simplify 8y + 12 = 60, subtract 12 from both sides to get 8y = 48, divide both sides by 8 and you have y = 6
To simplify 7x + 4 = 60, subtract 4 from both sides to get 7x = 56, divide both sides by 7 and you have x = 8

PLZ HELP QUICKLY! ILL GIVE BRAINLIEST.

Which transformation below causes Figure A to transform into Figure A?

A. a reflection across the y-axis

B. a reflection across the x-axis

C. a clockwise rotation of 90 degrees about the origin

D. a translation 12 units right and 2 units down

Answers

Answer:

D

Step-by-step explanation:

Start from one point on figure A (-6, -3) for example. Count 12 to the right and two units down and you will find (6, -5) on the A'.

I need help what’s 5.57 multipled by 4

Answers

Answer:

22.28

Step-by-step explanation:

5.57 x 4 = 22.28





Explanation:

Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenths place.

Answers

1) (3.8 * 10^3) * (9.4 * 10^-5) = 0.3572 = 3.6 * 10^-1

2) (4.2 * 10^7) * (7.4 * 10^-2) = 3.1 * 10^6

3) (8.6 * 10^-6) * (7.1 * 10^9) / (4.1 * 10^ -2) * ( 2.8 * 10 ^-7) = 5.3 * 10^-6

4) 4.2 * 10^-1

Sorry for not putting my work for number 4. Hope this helps!

Find the area of the region that lies under the parabola y=5x - x^2, where 1≤x≤4. I would definitely like to see some work :)

Answers

Answer:

  16.5 square units

Step-by-step explanation:

You are expected to integrate the function between x=1 and x=4:

  [tex]\displaystyle\text{area}=\int_1^4{(5x-x^2)}\,dx=\left.\left(\dfrac{5}{2}x^2-\dfrac{1}{3}x^3\right)\right|_{x=1}^{x=4}\\\\=\dfrac{5(4^2-1^2)}{2}-\dfrac{4^3-1^3}{3}=37.5-21=\boxed{16.5}[/tex]

__

Additional comment

If you're aware that the area inside a (symmetrical) parabola is 2/3 of the area of the enclosing rectangle, you can compute the desired area as follows.

The parabolic curve is 4-1 = 3 units wide between x=1 and x=4. It extends upward 2.25 units from y=4 to y=6.25, so the enclosing rectangle is 3×2.25 = 6.75 square units. 2/3 of that area is (2/3)(6.75) = 4.5 square units.

This region sits on top of a rectangle 3 units wide and 4 units high, so the total area under the parabolic curve is ...

  area = 4.5 +3×4 = 16.5 . . . square units

What is the probability of rolling a four on the first die and a four on the second die?



Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator.

Answers

Answer:

1

I think the answer is 4/4 = 1

Fill in the missing number.
70% of _____=42

Answers

Answer:

60

Step-by-step explanation:

70% of x = 42

.7x = 42

x = 42 ÷ .7

x = 60

Answer:

60

Step-by-step explanation:

We have, 70% × x = 42

or,

[tex]\frac{70}{100}[/tex] × x = 42

Multiplying both sides by 100 and dividing both sides by 70,

we have x = 42 × [tex]\frac{100}{70}[/tex]

x = 60

If you are using a calculator, simply enter 42×100÷70, which will give you the answer of 60

james makes an acai bowl using 3/5 cup of almond milk for every 1 1/2 teaspoons of cashew butter. james wants to know the number of cups of almond milk per teaspoon of cashew butter he uses when making the bowl. How much almond milk does james use per teaspoon of cashew butter?

____ cup(s) of almond milk per teaspoon of cashew butter

Answers

Answer:

the answer its 2/5

Step-by-step explanation:

hes rite

a cuboid's length is 9 cm, its height is 4 cm and its breadth is 6 cm. calculate the surface area.

any help is appreciated!!! :)​

Answers

Based on the given conditions, formulate:
2 × (6 × 4 + 6 × 9 + 4 × 9)

Calculate the product or quotient:
2 × (24 + 6 × 9 + 4 × 9)
2 × (24 + 54 + 4 × 9)
2 × (24 + 54 + 36)

Calculate the sum of difference:
2 × (78 + 36)
2 × 114

Calculate the product or quotient:
228

ANSWER:⇒ 228

Alternative:⇒ 2.28 × 10²

Which ratio is larger, 18/5 or 72/25 ?​

Answers

18/5. Multiply the 5 as many times as you need to to get to 25. Then as many times as you multiplied the bottom multiply the top the same so it would be 5 times on both sides making the ratio. 90/25

Answer:

Step-by-step explanation:

LCM of 5 and 25=25

Now,

18/5=18x5/5x5=90/25

72/25=72/25

Since 90/25>72/25

Hence,

18/5 is greater than 72/75

How much money needs to be deposited now into an account to obtain $1,500 in 7 years if the interest rate is 5% per year compounded continuously?

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1500\\ P=\textit{original amount deposited}\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &7 \end{cases} \\\\\\ 1500=Pe^{0.05\cdot 7}\implies \cfrac{1500}{e^{0.35}}=P\implies 1057.03\approx P[/tex]

The length of a picture frame is 6 inches more than the width. For what values of x is the perimeter of the picture frame greater than 148 ​inches?

Answers

Answer:

The possible values of S are the values between 37 and 49. (Excluding 37 and 49)

Step-by-step explanation:

If the perimeter of the square must be greater than 148 inches but less than 196 inches.

And perimeter of a square = 4s

We intend to find the values of s such that:

148 < 4s

¹⁴⁸⁄₄ < ⁴ˢ/₄

37 < s

Also:

4s < 196

s < ¹⁹⁶⁄₄

s < 49

Therefore:

37 < s < 49.

The possible values of s are the values between 37 and 49. (Excluding 37 and 49.)

What is the slope of the line with the equation y=1/4x-7

Answers

Answer:

slope is 1/4

Step-by-step explanation:

divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

The other person was right the answer is 1/4 but you don’t have to do all that work the answer is simple the slop is always y=slope so it will always be that middle number

Please help me with this question

Answers

Answer:

b

Step-by-step explanation:

try putting the diamond into a number.

example: Diamond=1

1+1=2

1+2=3

1+3=4

1+5=6    

so none of the answers except for b is correct

Find the area of the shaded region. Use 3.14 as an approximation.​

Answers

Answer:

shaded area = 113.64 cm²

Step-by-step explanation:

To find the shaded area, subtract the area of the circle from the area of the triangle.

Area of a triangle = 1/2 x base x height

⇒ area of triangle = 1/2 x 25 x 21.4 = 267.5 cm²

Area of a circle = [tex]\pi r^2[/tex] (where r is the radius)

From inspection, we can see that the diameter of the circle = 14 cm

Therefore, as the diameter = 2r, then r = 14 ÷ 2 = 7 cm

⇒ area of circle = 3.14 x 7² = 153.86 cm²

Shaded area = area of triangle - area of circle

⇒ shaded area = 267.5 - 153.86 = 113.64 cm²

Work out this question pls

Answers

Answer:

3 3/16

Step-by-step explanation:

Conversion a mixed number 8 1/2

to a improper fraction: 8 1/2=8×2+1/2=16+1/2=17/2

To find a new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2×3/3= 6/

3

b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds

Divide: 17/2×8/3=17/2×3/8=17×3/2×8= 51/

16

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 8/3 is 3/8) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen halves divided by eight thirds = fifty-one sixteenths.

51/16

3 3/16

How are humans impacting Earth's climate?

Answers

Answer:

technology because of our building style or oil

Step-by-step explanation:

A car accelerates from rest down in highway at 16 m/s for 10 seconds. What distance did the car travel during acceleration.

Answers

Answer:

160

Step-by-step explanation:

16 * 10

= 160

Answer:160 meters

Step-by-step explanation: to work out the distance you have to times the speed by the time to get the distance.

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS

Answers

Answer:

6.67

Step-by-step explanation:

For this question once again use the same method I explained for the other questions. So I'm not going to go in-depth on explaining this one, since it is the same as others.

Step 1:

40/30=1.333333333333333

Step 2:

5 x 1.333333333333333 = 6.666666666666667

Step 3:

Simplify.

6.67 should be the length of BM

Hope this helps! :)

6 ft and 10ft were doubled what is the percent of change?

Answers

Answer:

It is a 100% hope it helps

simplify the equation : 14/ 5 - 1/4​

Answers

Answer:

51/20

Explanation:

14/5-1/4=

14*4/5*4-1*5/4*5=

56/20-5/20=

56-5/20=

51/20

If the diameter of a circle is 20 inches, what is the radius?

Answers

Answer:

Step-by-step explanation:

Diameter = 20cm . Radius = 10 cm. Circumference = 2πr = 2(3.14)(10) = 6.28 * 10 = 62.8 cm.

Answer:

radius=10

Step-by-step explanation:

radius is always half the diameter therefore the answer is 10 inches.

Will name BRAINLEST!!

Determine the area of the given triangle.

Answers

Answer:

7.5 square units

Step-by-step explanation:

Area of triangle = 1/2 x base x height

From inspection, base = 5 units and height = 3 units

Therefore, area = 1/2 x 5 x 3 = 7.5 square units

write an equation for a line perpendicular to y = 5x - 4 and passing through the point (15,-1)

Answers

Answer:

y = -1/5 x + 2

Step-by-step explanation:

y = 5x - 4

m = 5

Slope of perpendicular = -1/5

Equation of perpendicular:

y = mx + b

y = -1/5 x + b

Use point (15, -1) for x and y, and solve for b.

-1 = -1/5(15) + b

-1 = -3 + b

b = 2

Equation of perpendicular:

y = -1/5 x + 2

A television network is tracking the viewing numbers for the beginning episodes of a new show. The second episode had 80% of the viewers from the first episode. and the third episode had a 20% increase in viewers from the second episode.

Answers

The number of viewers in the third episode was 2.16 times that of the second episode.

Equation

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the number of viewers in the first episode.

The second episode = x + 80% of x = x + 0.8x = 1.8x

For the third episode = 1.8x + 20% of 1.8x = 1.8x + 0.36x = 2.16x

The number of viewers in the third episode was 2.16 times that of the second episode.

Find out more on Equation at: https://brainly.com/question/2972832

Properties of rectangles rhombuses and squares worksheet answers.

Answers

Answer:

sorry i cant find anything for u

Step-by-step explanation:

7.34 as a mixed number

Answers

Answer:

Answer: 7  17/50

Step-by-step explanation:

Write down the number as a fraction of one

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(734,100) = 2. when reduced to the simplest form.

John's bicycle covers 60 inches in one revolution. What
is the radius of his tire?

Answers

Answer:

The radius is equal to  [tex]\frac{30}{pi}[/tex]   or about 9.5 inches

Step-by-step explanation:

A revolution is the same as the circumference,

which can be found using C = 2πr

C = 2πr

60 = 2πr

(2π)r = 60

r = [tex]\frac{60}{2pi}[/tex]

r = [tex]\frac{30}{pi}[/tex] or about 9.5 inches

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

A field that is 2/3 acres must be planted with seed. If 12 people will split the job equally, how many acres must each person plant?

Answers

2/3 = 8/12*1/12 = 8/144 = 4/72= 2/36= 1/18 for one person if there is 12

Hope this helps please like and brainiest


Given: Jack rides his bike for
3 hours and goes 15 km.
Rates:5
1/5
How many hours would
he take to ride 40 km?

Answers

Answer:

8 hours

Step-by-step explanation:

Because Jack is riding at 5km/hr (15km/3hr), then in order for him to get 40 km it would take him 8 hours

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