divide 660 g in the ratio 4 : 7

Answers

Answer 1

Final answer:

To divide 660 grams in a 4:7 ratio, you first calculate the value of each part by dividing 660 grams by 11 (the sum of the ratio parts), resulting in 60 grams per part. Then multiply 60 grams by 4 to get 240 grams, and by 7 to get 420 grams, giving you two portions that comprise the ratio 4:7.

Explanation:

To divide 660 grams in the ratio 4:7, first add the two parts of the ratio together to find the total number of parts. This is 4 + 7 = 11 parts in total. The ratio indicates that for every 11 parts of the total weight, 4 parts should be in one portion and 7 parts in another. To find the weight of each part, divide the total weight (660 g) by the total number of parts (11).

660 g ÷ 11 = 60 g per part

Now, to get the weights for the two portions:

For the 4 parts: 60 g/part × 4 = 240 grams

For the 7 parts: 60 g/part × 7 = 420 grams

Thus, 660 grams divided in the ratio 4:7 of gives two portions of 240 grams and 420 grams, respectively.

Related Questions

Y=-4x+10 what is the perpendicular equation that contains (4,-6)

Answers

The perpendicular line to "Y = -4x + 10" that goes the the point (4,-6) is Y = 1/4x + 5.

The slopes are usually a fraction and a whole number. If the first slope is a whole number, it changes to a fraction, and vice versa. Also, if the first slope is negative, the perpendicular slope is positive and vice versa.

The y intercepts in this case are 10 (first slope) and 5 (dividing by 2) since it has to go through (4,-6). See graph below.

I hope this helps!

Which of the graphs displays the expression |5|? A) B) C) D)

Answers

Answer:

Step-by-step explanation:

Which of the graphs displays the expression |5|?

The answer id ( D )

have a great and hope this helps :)!

By using the number line below, a graph that displays the expression |5| is: D) graph D.

What is a number line?

In Mathematics and Geometry, a number line is a type of graph that is composed of a graduated straight line, which typically comprises both negative and positive numerical values that are located at equal intervals along its length.

This ultimately implies that, every number line would primarily increase in numerical value towards the right from 0 and decrease in numerical value towards the left from 0.

Based on the information provided above, we can logically deduce that the absolute value of 5 is equal to 5, which represents a distance of 5 units from the point zero (0);

|5| = 5

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What are the constants in x-3+2/3-y/2

Answers

The constants are -3 and 2/3.

In an equation, the constants are the numbers that are by themselves. In this problem, the numbers -3 and 2/3 are by themselves therefore they are constants.

A pattern that can be folded to form a solid figure is a

Answers

I believe it's a 2 dimensional pattern.

net of a solid
pretty sure

what is the slope of the line???

Answers

Look at the picture.

[tex]m=\dfrac{7}{4}[/tex]

can someone help me

Answers

y=x+25 has the biggest increase so i think its B

Judy has a sugar cone and wants to know how many cubic inches of ice cream it will hold if it is filled completely to the top of the cone and no more. the cone has a height of 4.5 inches and a radius of 1.5 inches

Answers

To find the amount of ice cream you will use the formula for finding volume of a cone.

V = 1/3x pi x r^2 x h
1/3 x 3.14 x 1.5^2 x 4.5
V = 10.6 cubic inches

The volume of ice cream that the cone can hold is approximately 10.6 in.³.

PLEASE HELP MEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

To use the distributive property means to "distribute" the 6 among each term inside the parentheses. So we have to multiply the 6 by 5x and then multiply 6 by -3.

= 6(5x - 3)
multiply 6 by each term in parentheses

= (6 * 5x) + (6 * -3)
multiply inside each parentheses; remember a negative times a positive equals a negative

= 30x - 18

ANSWER: 30x - 18

Hope this helps! :)

1. Write the rule for finding a point translated vertically k units up.
2. Use this rule to find the coordinates for (−3, −6) when translated 5 units up.

Answers

For this case we can use the following translation rule:
(x, y) -------> (x, y + k) ------> (x ', y')
Where,
k: number> 0
Substituting values we have:
(-3, -6) -------> (-3, -6 + 5) ------> (-3, -1)
Answer:
the rule for finding a point translated vertically k units up is:
(x, y + k)
The new coordinates are:
(-3, -1)

4 1/4 divided by 1 1/2

Answers

Hello, Briana so when dividing fractions, its best to put them in decimal form so that you can divide or multiply better. Now having this in mind, 4.25 divided by 1.5 becomes the new equation and using simple math on a calculator, we can conclude that the answer to this question is 1.7 in decimal form or 1 and 7 over 10 in fraction form. Hope this helped, if you have any questions, please ask!

Final answer:

The division of 4 1/4 by 1 1/2, when converted to improper fractions, results in 17/6, or 2 5/6 as a mixed number.

Explanation:

The question asks us to find the result of the division 4 1/4 divided by 1 1/2. To tackle this problem, we need to convert the mixed numbers into improper fractions and then perform the division by multiplying by the reciprocal. Here's how it is done step-by-step:

Convert mixed numbers to improper fractions:
4 1/4 = (4×4 + 1)/4 = 17/4 and
1 1/2 = (1×2 + 1)/2 = 3/2.

Divide the fractions by multiplying by the reciprocal of the divisor:
(17/4) × (2/3) = 34/12.

Simplify the result:
34/12 can be simplified to 17/6, or as a mixed number, 2 5/6.

Therefore, the answer to 4 1/4 divided by 1 1/2 is 2 5/6.

BRAINLIEST to the correct answer Which measure(s) of center best derceibe(s) the data Explain. {10,10,10,10,1010,10,60} Mean Median or Mode

Answers

Mode.

The number that appears the most is 10, so it's mode.

This is mode because the number that appears more than any other number is 10.

Could somebody please help me I dont understand how to do this problem

Answers

So a triangle has a total of 180 degrees
107 + 2x-5 +x = 180
solve for x
112 + 3x = 180
-112 -112
3x = 68
x = 22.6667 degrees

I think this the answer because positive 107 negative -5= 102

A traveler is walking on a moving walkway in an airport The Traveler must walk back on the walkway to get a bag he forgot the Travelers ground speed is 2ft/s against the walkway and 6ft/s with the walkway what is the Travellers speed off the walkway what is the speed of the moving walkway

Answers

let the speed off the walk way be x and speed of the walkway be y
x+y=6....i
x-y=2....ii
adding the above equation we get:
2x=8
thus
x=4 ft/s
and
y=6-4=2 ft/s
thus the speed off the walk way is 4 ft/s
the speed of the moving walkway is 2 ft/s

Final answer:

The speed of the traveler off the walkway is 4ft/s, while the speed of the moving walkway is 2ft/s. This is found by simultaneously solving the equations formed by the given speeds of the traveler with and against the walkway.

Explanation:

The speed of the traveler, independent of the moving walkway, as well as the speed of the moving walkway itself can be determined using the given speeds of the traveler with the walkway and against it. When the traveler walks in the same direction as the moving walkway, their speeds add together, which is given as 6ft/s. Conversely, when the traveler walks against the movement of the walkway, their velocities subtract which is given as 2ft/s.

That is to say, if we denote the traveler's speed as *T* and the walkway's as *W*, then we have these two equations: *T* + *W* = 6, and *T* - *W* = 2. Solving these equations simultaneously, we find that *T* = 4ft/s, which is the traveler's speed off the walkway, and *W* = 2ft/s, which is the speed of the moving walkway

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Explain what happens at the saturation point when adding salt to water at room temperature

Answers

At room temperature, you need at least 100 grams of water to dissolve around 35 grams of salt; however, if the temperature changes, the amount of salt that water can dissolve also changes. The point where water can no longer dissolve salt is called saturation, and this happens when the salt you add only goes to the bottom of the solution. There are also several factors that facilitate salt’s solubility in water.

Two acute angles can be which of the following?

I. congruent
II. adjacent
III. complementary
IV. supplementary

A. I and II
B. I and III
C. I, II, III
D. I, II, and IV

Answers

The answer to your question is choice C. I, II, III. Two acute angles cannot be supplementary as two upplementary angles add up to 180. The most an acute angle can be is 89 and 89 * 2 does not reach 180. Two acute angles can satisfy any of the other conditions.

It would be C.

Two angles are adjacent when they have a common side and a common vertex.
Complimentary angles- either of two angles whose sum is 90
Congruent angles have the same angle.
Supplementary angles- either of two angles whose sum is 180

It is not supplementary because you can not add two acute angles together. To make a supplementary angle you must add an acute and obtuse or two right angles.

An Obtuse angle is an angle with a sum more than 90.
A Right angle is an angle with a sum of only 90.

A lawn is shaped like a parallelogram with a base of 32 feet and a height of 15 feet. Covering the lawn with grass will cost $2.60 per square foot. How much money will it cost to cover the lawn with grass?

Answers

The total cost would be $1248.

To find the total cost, we need to first find the area of the parallelogram. To find the area, we need to multiply the base and height.

Then, we need to multiply the total area by the cost of $2.60.

32 x 15 x 2.6 = 1248

Answer:

$1248.

Step-by-step explanation:

area = base x height.

then

area x cost

b h c

32 x 15 x 2.6 = 1248

The word pluralistic contains the root pour which means more what does pluralistic mean?
The pluralistic culture of the United States encourages people from around the world to apply for citizenship
A) patriotic
B) diverse
C) receptive
D) unified

Answers

I tihink the answer is C

The word pluralistic means diverse.

Pluralistic:

'Anything pluralistic involves a diversity of different ideas or people. A pluralistic society is a diverse one, where the people in it believe all kinds of different things and tolerate each other’s beliefs even when they don’t match their own'

According to the given question,

'The diverse culture of the United States encourages people from around the world to apply for citizenship.'

Hence, we can conclude that that diverse is the correct meaning for pluralistic.

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Find the measure of JEF
A)16
B)74
C)82
D)164

Answers

A. 16

Its because the final angle in the quadrangle is 164 degrees (you can get this by knowing all the angles add up to 360). Then note that the angles are complementary.

Answer:

Step-by-step explanation:

I just submitted it on USA Test Prep

3h/h^2-12h+36 -18/h^2-12h+36

Answers

Since both fractions have the same denominator, we just need to subtract the numerators:
[tex] \frac{3h}{h^2-12h+36} - \frac{18}{h^2-12h+36} = \frac{3h-18}{h^2-12h+36} [/tex]

Notice that we have a common factor, 3, in the numerator, so lets factor that out:
[tex]\frac{3h-18}{h^2-12h+36}= \frac{3(h-6)}{h^2-12h+36} [/tex]

Next, we can factor the denominator:
[tex]\frac{3(h-6)}{h^2-12h+36} = \frac{3(h-6)}{(h-6)^2} [/tex]

Now we can cancel the common factor [tex]h-6[/tex] in both numerator and denominator:
[tex]\frac{3(h-6)}{(h-6)^2}= \frac{3}{h-6} [/tex]

We can conclude that the result of 3h/h^2-12h+36 -18/h^2-12h+36 is: [tex] \frac{3}{h-6} [/tex]

The equation: 3h/h^2-12h+36 -18/h^2-12h+36 have the same denominator, we will just subtract the numerators
3h/h^2-12h+36- 18/h^2-12h+36=3h-18/h^2-12h+36
Let us factor the common termsx(h-6)/h^2-12h+36= 3(h-6)/(h-6)^2
So since h-6 are similar, we can cancel the numerator and cancel 1 term in the denominatorso,3(h-6)/(h-6)^2=3/h-6
SO the answer of 3h/h^2-12h+36 -18/h^2-12h+36 is 3/h-6

Which of the following is not a perfect square?
A) 49
B) 121
C) 75
D) 64

Answers

75 is not a perfect square because if you take the square root of 75, it will come out 5 sq 3.

Therefore, the correct answer is C.

Evaluate.
7 with a 3 on top

A) 21
B) 49
C) 81
D) 343

Answers

That’s 7 to the power of 3 which means 7x7x7=343. Hope this helps mark Brainest

your correct answer is D) 343.

How do you find the diameter of 12 inches

Answers

If the radius is 12 that’s half of the diameter. If would be radius x2= diameter
12x12=144

one angle of a triangle is 2 / 3 of a right angle . the greater of the other to exceed the lesser by 20 degree. Find the angles of the triangle in grades.

Answers

2/3 of a right triangle is 60 degrees. Then x + (x+20) + 60 = 180 total.

2x + 80 = 180, so 2x = 100 and x = 50. The angles are 50, 70 and 60 (degrees)

What do you mean by "grades?"

In a scale drawing a plane has a length of 35 centimeters. The actual length of the plane is 87.5 feet. What is the scale of the drawing?

Answers

35 cm : 87.5 ft
1 cm : x
cross multiplying
35 cm X = 1 cm x 87.5 ft
x= 87.5 ft. cm /35 cm
x = 2.5 ft
therefore, the scale is 1 cm : 2.5 ft

Using proportions, it is found that the scale of the drawing is of 1 ft:0.4 cm.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that 35 cm represent 87.5 ft. How many cm represent a ft?

The rule of three is given by:

35 cm - 87 ft

x cm - 1 ft

Applying cross multiplication:

[tex]87x = 35[/tex]

[tex]x = \frac{35}{87}[/tex]

[tex]x = 0.4[/tex]

Hence, the scale of the drawing is of 1 ft:0.4 cm.

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Which set is more variable? How do you know?
Please please help me ASAP like RIGHT NOW this is my last question and the only question I have left so please help me super quick!!!!!!!!!!

Answers

Final answer:

To determine which set is more variable, calculate their measures of variability such as range and standard deviation. Sets with larger range and standard deviation are considered more variable.

Explanation:

To determine which set is more variable, you need to calculate the measures of variability for both sets. The measures of variability commonly used are the range and standard deviation. The set with a larger range and standard deviation is considered to be more variable.

For example, if we have two sets of data: Set A (2, 4, 6, 8, 10) and Set B (3, 5, 7, 9, 11), we can calculate the range for both sets. The range of Set A is 10 - 2 = 8, while the range of Set B is 11 - 3 = 8. Both sets have the same range, so we need to calculate the standard deviation to determine which set is more variable.

By calculating the standard deviation, we find that Set A has a standard deviation of 2.83, while Set B has a standard deviation of 2.83 as well. Again, both sets have the same standard deviation, so in this example, both sets are equally variable.

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Student Stars Mazie 7 Chris 4 Jenni -3 Scott 0 Michael 2 Zoe 4 Liza -5 Thomas -1 Benjamin 6 Josie 1 Chase 8 David -4 Students in Mr. Miller's class gain and lose stars for behavior during the day. At the end of the week, any students with a negative star value must stay for detention. According to the chart who must serve detention?

Answers

The students with negative star values are Jenni, Liza, Thomas, and David. Therefore, these four students must serve detention.

Let f(x) = -5x -4 and g(x) = 6x -7. Find f(x) + g(x)

Answer options

-11x = 3b

x - 11

-11x - 11

x + 3

Answers

x-11
[tex]6x - 5x - 4 - 7[/tex]

Answer:

Second option.

Step-by-step explanation:

f(x) + g(x) = -5x-4 + 6x-7 = -5x + 6x - 4 - 7 = x - 11.

What is the net force here and what direction will the object accelerate ?

Answers

there is 100 N pushing the box to the right and 10 N pushing the box to the left

since there is force being applied in opposite directions, the net force is found by subtracting the 2

100 - 10 = 90 N ( Net Force)

and because the higher force is pushing the box to the right, the direction will accelerate to the right.

one hundred grams of radium are stored in a container. The amount R of radium present after t years can modeled by R=10e^-0.00043t. After how many years will only 5 grams of radium be present? round your answer to the nearest whole year.

Answers

Final answer:

To determine after how many years only 5 grams of radium will be present, we use the decay equation [tex]R = 100e^{-0.00043t}[/tex] to solve for t when R equals 5 grams, yielding approximately 1,605 years.

Explanation:

To determine after how many years only 5 grams of radium will be present, we can use the provided equation for radioactive decay: R = [tex]100e^{-0.00043t}[/tex]. We need to solve for when R equals 5 grams. Here are the steps:

Set the equation equal to 5: [tex]5 = 100e^{-0.00043t}.[/tex]Divide both sides by 100: [tex]0.05 = e^{-0.00043t[/tex]}.Take the natural logarithm (ln) of both sides to solve for t: [tex]ln(0.05) = ln(e^{-0.00043t}) = -0.00043t.[/tex]Divide both sides by -0.00043 to isolate t: [tex]t = ln(0.05) / -0.00043.[/tex]Use a calculator to find the value of t: [tex]t \approx 1,605.11[/tex] years.Round to the nearest whole year: t ≈ 1,605 years.

After approximately 1,605 years, only 5 grams of radium will be present.

To find the time after which only 5 grams of radium remain, the exponential decay equation [tex]R = 10e^{-0.00043t[/tex] is solved using natural logarithms, yielding an approximate time of 1608 years.

To determine after how many years only 5 grams of radium will be present, we need to solve the exponential decay equation provided, R = [tex]10e^{-0.00043t[/tex], for t when R = 5 grams. We can do this using logarithms.

Set up the equation with R = 5: 5 = [tex]10e^{-0.00043t[/tex]

Divide both sides by 10 to isolate the exponential term: 0.5 = [tex]e^{-0.00043t[/tex]

Take the natural logarithm (ln) of both sides: ln(0.5) = ln([tex]e^{-0.00043t[/tex]), which simplifies to ln(0.5) = -0.00043t because the natural logarithm and the exponential function are inverses of each other.

Divide by -0.00043 to solve for t: t = ln(0.5) / -0.00043

Use a calculator to find the value of t: t ≈ 1608 years (rounded to the nearest whole year)

After approximately 1608 years, there will only be 5 grams of radium present in the container.

Locate the prepositional phrase and type it in the blank. Then, identify the function of the phrase. Above the door hung a horseshoe. prepositional phrase: function of phrase: (Type adjective or adverb ).

Answers

The function of this prepositional phrase is adverbial, specifically it acts as an adverbial phrase of place, modifying the verb "hung". It answers the question "where?" in relation to the action of hanging.

The prepositional phrase in the sentence "Above the door hung a horseshoe" is "above the door".

This phrase describes the location of the horseshoe relative to the door. It specifies that the horseshoe is positioned vertically higher than the door. Prepositional phrases function as adjectives or adverbs by providing additional information about nouns (in this case, "door") or verbs (in this case, "hung"). In this context, "above the door" modifies the action of "hung" by indicating where the horseshoe is located.

Complete answer

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In the word interrupting, the root wordruptmeans:a. stopb. breakc. burstd. fake dy/dx = y/x^2dy/y = dx/x^2ln y * ln c = -1/xcy = e^(-1/x)y = ce^(-1/x) whom did Nixon referred to as the silent majority? opponents of the Vietnam war the Kent state protesters supporters of the Vietnam war those who have voted for him in 1968 The Michigan forests contain a variety of tree species. What happens to the tree population when a forest losses its diversity; when only one tree species dominates an area? Students in biology class conducted the following simulations to predict the effects oon one tree species due to the presence of an invasive insect species: the hemlock woolly adelgid. Simulation #1 - 1. 28 students were given a card marked with H for hemlock 2. Each student moves around the room to meet three other students and write their names on their card. 3. The teacher represents the hemlock woolly adelgid.. He touches one student who dies and sits down. That student reads the names on his/her card. 4. Each student named, also dies and also reads the names on their cards. 5. Continue to all the students sitting have read the names on their cards. Count the number of students still standing. Simulation #2 1. Students are given cards marked H - hemlock; JP - jack pine; F - balsam fir; A - aspen; B - birch. 2. Repeat steps #2 - #5 from Simulation #1. 3. This time ONLY the students marked H will sit down. The other species of trees do not die. Based on the students' simulations, what conclusion can be drawn?A)Biodiversity halts the impact of disease and/or insect damage in an ecosystem.B)Planting hemlocks in stands by themselves will save the other tree species growing throughout Michigan.C)By planting a variety of tree species, you reduce the impact of specific insect damage on a forest ecosystem. The "computer access code" for pharmacy software is used to: What does a residual value of 1.3 mean when referring to the line of best fit of data set? -a data point is 1.3 units above the line of best fit -a data point is 1.3 units below the line of best fit -the line of best fit has a slope of -1.3-the line of best fit has a slope of 1.3 All of the following are qualities of a certification program except: A. it is offered in vocational schools. B. people do not have to take general education courses. C. it takes several years to complete. D. it is designed to train people for specific jobs. The Green Revolution changed the way in which people benefit from the land by what? A) increasing hydroelectric power B) slowing the extraction of minerals C) developing new forest and grasslands D) increasing food production During childbirth, the baby pushes on the wall of the uterus. this is detected by pressure receptors that signal the brain to release oxytocin. if this is a positive feedback process, select the likely next step. Which kingdom was the biggest in the Americas, based in the Andes Mountains of Peru? A the Olmec B the Inca C the Maya D the Aztec Compare and contrast between scientific theory,scientific law and scientific hypothesis robert gets injured during a football game. athletic trainer can do which of the following according to their scope of practicea. diagnose b. evaluatec. x rayd. suspect Question 1 how much water would you add to 175 ml of 6.00 m hydrochloric acid to prepare a 2.00 m solution of this acid? 350 ml 700. ml 58.3 ml 525 ml none of the above Which ancient Roman structure was built under the direction of Vespasian, attempting to entertain the populace who suffered under his predecessor, Nero?ParthenonColosseumMonticelloChrysler Building Where are most of the world's earthquakes and volcanoes located? Which statement correctly describes an atom of the element helium? A. An atom of helium has eight electrons in its outer energyB. An atom of helium most similarly behaves like an atom of hydrogen since it is in the same period. C. An atom of helium has a full outer energy level and is therefore unusually reactive.D. An atom of helium has its valence electrons in its first energy level. Ken's cafe serves hot cocoa.each serving has 9 grams of chocolate.how many grams of chocolate are in 8 servings of hot cocoa? For the equation, y= -x - 4, tell whether its graph passes through the first quadrant. Explain how you know.A.) No; for x0 some y-values are positive.C.) No; for x>0 the y-values are negative.D.) Yes; for x What was the MAIN reason Richard Nixon traveled to China in 1972? A)to oversee the end of China's war with Taiwan B)to prevent China from boycotting the Summer Olympics C)to negotiate the release of 52 Americans taken hostage there D)to normalize relations between the U.S. and China's government A muon is traveling at 0.995c. what is its momentum? (the mass of such a muon at rest in the laboratory is 207 times the electron mass.)