Ten less than 5 times the value of a number is equal to 10 times the quantity of
12 more than one-fourth of the number. If a is the number, what is the value of a?

Answers

Answer 1

Answer:

52

Step-by-step explanation:

given that the number is a

The expression for Ten less than 5 times the value of a number is given by

5a - 10

10 times the quantity of  12 more than one-fourth of the number.

a/4 is one-fourth  of number

12 more than one-fourth of the number

a/4 + 12

expression for  10 times the quantity of  12 more than one-fourth of the number. is given by

10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120

Given that the above two expression are equal

equating them we have

5a - 10 = 2.5a + 120

adding 10 both sides

=>5a - 10+ 10  = 2.5a + 120 + 10

=> 5a = 2.5a + 130

subtracting 2.5a from both sides

=> 5a - 2.5a = 2.5a + 130 - 2.5a

=> 2.5a = 130

dividing both side by 2.5

=> a = 130/2.5 = 52

Thus, value of a is 52


Related Questions

BAKING A recipe for 1 apple pie calls for 6 cups of sliced apples. How
many cups of sliced apples are needed to make 4 apple pies?

Answers

Answer:

24 cups of sliced apples

Step-by-step explanation:

6 multiplied by 4=24

hope this helps

Four times the sum of f and g is identical to six times g

Answers

Answer:

4(f+g)=6g

Step-by-step explanation:

4(f+g)=6g

Before adding the following fractions, you need to find the common ? 2/3 + 1/6 =

Answers

Answer:

denominator

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

2/3×2/2 + 1/6

4/6 + 1/6

5/6

f(x) = 2x^3 g(x) = x-3

find f(2)
find g(4)
find (f+g) (x)

Answers

[tex]f(x) = 2 {x}^{3} [/tex]

[tex]f(2) = 2 \times {2}^{3} = 2 \times 8 = 16 [/tex]

_________________________________

[tex]g(x) = x - 3[/tex]

[tex]g(4) = 4 - 3 = 1[/tex]

_________________________________

[tex](f + g)(x) = f(x) + g(x) [/tex]

[tex](f + g)(x) = 2 {x}^{3} + x - 3 [/tex]

_________________________________

Done...♥️♥️♥️♥️♥️

Wade picked 4 pints of blackberries. His friend, Matt, picked 6 pints. How
many pints did they pick altogether?

Answers

Together they picked 10 pints of blackberries.
10 pints in all , 4+6=10

6 - 8x = 6x - 9x + 11

Answers

6-8x=-3x+11

-8x+3x=11-6

-5x=5

x=-1

The first step is to isolate the variable, then you solve. Hope this helps, brainliest if you can.

Answer:

hi

Step-by-step explanation:

hi i am a gamergirl add me in fortnite xxgamergilxx93_qt

Shirley is drawing triangles that have the same area. The base of each
triangle varies inversely with the height. What are the possible base
and height of a second triangle if the first triangle's base is 12 and its
height is 8?
Select one:
a. 120 and 80
b. 10 and 10
c. 60 and 36
d. 16 and 6

Answers

Answer:

d. 16 and 6

Step-by-step explanation:

Triangle area = (base × height)/2

A = (8 × 12)/2 = 96/2 = 48

A = (16 × 6)/2 = 96/2 = 48

Simplify 2x^3 х 3x^2 ​

Answers

Answer:

ans = 6x4

Step-by-step explanation:

(2x2)(3x2)

first multiply the coefficients

(2*3) = 6

next multiply the variables

(x2*x2) = x2+2 = x4

productofcoeficients,productofvariables

= 6x4

Jade used 3/4
yard of fabric to make a scart. Can she make 2 of these scarves with 1 4/5 yards of fabric, and why?

Answers

Answer:

Yes she can

Step-by-step explanation:

3/4 = 0.75

1 4/5= 1.8

0.75 x 2 = 1.5 which is less that 1.8 so she can

Help please thanks :)

Answers

Answer:

the answer is part 3 : exactly 30 .....

The answer 3 : exactly 30..

Which of the following is a true statement 68/5 - 22/5 = 9 1/5

Please somebody awnser

Answers

Answer:

The answer is D

Step-by-step explanation:

I took the test and got it right <3

Answer: The first question in the selection is correct!

Step-by-step explanation:

The sum of 48 and itself, its half and half of the half is added to 18.​

Answers

Answer:

150

Step-by-step explanation:

This is a word problem which should be tackled accordingly.

The sum of 48 and itself

= 48+48

= 96

It's half and half of its half

= 48/2 and (48/2)/2

= 24+ 24/2

= 24+12

= 36

Is added to 18

= 96+36+18

= 150

From the description above the entire sum is 150.

For a certain type of sand, 1 cubic foot weighs 80 pounds. The sand goes in a container that weighs 40 pounds. Use the Ray tool to make a graph that shows the total weight of the container and sand, w, filled with n cubic feet of this sand. I need the coordinates for the graph please.

Answers

Answer:

First, let's write our equation in a general way.

We know that:

1 cubic foot weighs 80 pounds.

The container weighs 40 pounds.

Then, if i put n cubic feet of sand in the container, the total mass will be one time the mass of the container plus n times the mass of one cubic foot of sand.

We can write this as:

w(n) = 40lb + n*80lb

This is a linear equation, where the y-axis will represent the mass in pounds and the x-axis will be the number of cubic feet of sand in the container in units, a graph of this is shown below.

You can see that it is really steep, this is because for really small increments in n, the weight increases a lot.

Answer

ok, Just plot the points at (0,40) and (2,200) :))

PRACTICE ANOTHER Is 4a a factor of 2a · 38b? (Assume that a and b represent integers.) Yes, because 4 is a multiple of 38. Yes, because 2a · 38b = 4a · 19b where 4a and 19b are integers because a and b are integers and products of integers are integers. Yes, because 4a is a divisor of 38b. No, because 38 is not a divisor of 4. No, because 2a · 38b = 4a · 19b where 4a and 19b are not necessarily integers because products of integers are not always integers.

Answers

Answer:

Yes, [tex]2a . 38b = 4a . 19b[/tex]

Step-by-step explanation:

Given

[tex]Expression: 2a.38b[/tex]

Required

Is 4a a factor of the expression?

Analyzing each option.

1.

[tex]2a . 38b = 4a . 19b[/tex]

[tex]76ab = 76ab[/tex]

The above expression is true.

Hence: This option answers the question

7th grade math help me plzzz

Answers

Answer:

11.a) is 15+5.50+3 maybe

11.b) is $3.50 because 15-12=3 3+5.50=8.50 8.50+3=11.50 11.50-8=3.50

Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. The distribution of pH levels for all community swimming pools in a large county is approximately normal with mean 7.5 and standard deviation 0.2. According to swimming pool studies, the safest pH levels for water in swimming pools are between 7.2 and 7.8. (a) One community swimming pool in the county will be selected at random. What is the probability that the selected pool has a pH level that is not considered safe

Answers

Answer:

The  value is  [tex]P(A) =  0.133617[/tex]

Step-by-step explanation:

From the question we are told that

  The  mean is  [tex]\mu =  7.5[/tex]

  The standard deviation is  [tex]\sigma  =  0.2[/tex]

  The safest water level is  between  7.2 and  7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

       [tex]P(A) =  1 - P(7.2 \le X  \le 7.8 )[/tex]

Here  

      [tex]P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } <  \frac{X - \mu }{ \sigma } <\frac{ 7.8 - \mu }{\sigma }   )[/tex]

Generally [tex]\frac{X - \mu }{ \sigma } =  Z (The  \ standardized \  value  \  of  X )[/tex]

So

 [tex]P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z <\frac{ 7.8 - 7.5 }{0.2 }   )[/tex]    

 [tex]P(7.2 < X  < 7.8 ) = P(-1.5 < Z <1.5)[/tex]  

=>  [tex]P(7.2 < X  < 7.8 ) = P(Z <  1.5) - P(  Z < - 1.5) [/tex]

From the z-table the probability of  (Z <  -1.5) and   (  Z <1.5)  are

    [tex]P(Z <  1.5) =  0.93319[/tex]

and  

    [tex]P(Z <  -1.5) =  0.066807[/tex]

So

      [tex]P(7.2 < X  < 7.8 ) =0.93319 - 0.066807 [/tex]

       [tex]P(7.2 < X  < 7.8 ) =0.0866383[/tex]

So

   [tex]P(A) =  1 - 0.0866383[/tex]

=>  [tex]P(A) =  0.133617[/tex]

The probability that the selected pool has a pH level that is not considered safe pool is 0.1336

The given parameters are:

[tex]\mathbf{\mu = 7.5}[/tex]

[tex]\mathbf{\sigma = 0.2}[/tex]

Start by calculating the probability that a pool is safe.

This is represented as: P(7.2 < x < 7.8)

Calculate the z-scores for x =7.2 and 7.8 using:

[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]

So, we have:

[tex]\mathbf{z = \frac{7.2 - 7.5}{0.2} = -1.5}[/tex]

[tex]\mathbf{z = \frac{7.8 - 7.5}{0.2} = 1.5}[/tex]

So, we have:

[tex]\mathbf{P(7.2 < x < 7.8) = P(-1.5 < z < 1.5)}[/tex]

This gives

[tex]\mathbf{P(7.2 < x < 7.8) = P(z < 1.5) - P(z < -1.5)}[/tex]

Using z table of probabilities, we have:

[tex]\mathbf{P(7.2 < x < 7.8) =0.9332 - 0.0668}[/tex]

[tex]\mathbf{P(7.2 < x < 7.8) =0.8664}[/tex]

The probability that the pool is not safe is calculated using the following complement formula

[tex]\mathbf{P(Not\ Safe) = 1 - P(Safe)}[/tex]

So, we have:

[tex]\mathbf{P(Not\ Safe) = 1 -0.8664}[/tex]

[tex]\mathbf{P(Not\ Safe) = 0.1336}[/tex]

Hence, the probability that the pool is not safe is 0.1336

Read more about probabilities at:

https://brainly.com/question/11234923

How many days are in 5 years? Correct answer gets brainliest. 2 possible answers

Answers

Answer:

1826.21099

Step-by-step explanation:

Answer: 1825 days.

Step-by-step explanation: 365x5=1825

The science teacher gives daily homework. For a random sample of days throughout the year, the median number of problems is 5 and the IQR is 2. The Spanish teacher also gives daily homework. For a random sample of days throughout the year, the median number of problems is 10 and the IQR is 1. If you estimate the median number of science homework problems to be 5 and the median number of Spanish problems to be 10, which is more likely to be accurate? Explain your reasoning.

Answers

Answer:

SCIENCE SEEMS MORE ACCURATE

Step-by-step explanation:

The interquartile range (IQR) = difference between the upper and lower quartile (Q3 - Q1)

The median can be estimated as :

(Q3 - IQR/2) or (Q1 + IQR/2).

FOR SCIENCE:

MEDIAN NUMBER = 5

IQR = 2

IQR = Q3 - Q1

Q3 = median + IQR/ 2 = 5 + 2/2 = 6

Q1 = median - IQR/2 = 5 - 2/2 = 4

FOR SPANISH:

MEDIAN = 10

IQR = 1

IQR = Q3 - Q1

Q3 = median + IQR/ 2 = 10 + 1/2 = 10.5

Q1 = median - IQR/2 = 10 - 1/2 = 9.5

Science has a lower median score and an interquartile range which is reasonable wider than Spanish with a larger median value (but a very narrow interquartile range).

It too Mrs. phillips 1.6 hours to run the 13.2 miles. What was his average speed

Answers

Answer:

13.2 miles/ 1.6 hours= 8.25 miles/hour.Mr. Phillips's speed was 8.25


Choose another name for plane s look at the picture for the full answer thank you for helping!

Answers

Answer:

c: plane ptm

Step-by-step explanation:

PLEASE HELP!!


Sorry for all the tabes I'm working on a presentation at the same time.

Answers

Answer:

0.5

Step-by-step explanation:

use rise over run, from (-6,0) to (0,3) it rises 3 and runs 6. 3/6 = 1/2.

Answer:

the slope is two

Step-by-step explanation:

rise over run

If 5% more than a is b, and b is 15% less than, what is the ratio of a to c? Please answer quickly.

Answers

You didn’t show the full question/picture

Kai needs a car to get to work and school. He's decided on a used car with a cost of $12,000. According to his budget he can afford to pay up to $300 per month and car payments. Which loan offer is best for Kai?

Answers

Answer:

The answer is Offer 3 because it has the lowest total loan cost of the offers with a monthly payment in his budget

Answer: c, offer 3

Step-by-step explanation: just did the quiz

Find the value of x.

Please help!!​

Answers

X is equal to 5. Hope this helps and have a good day. Also, A Brainliest would be much appreciated

Answer:

5

Step-by-step explanation:

Use the Exterior Angle Theorem.

The E.A.T states that the measurement of an exterior angle is found by adding the two opposite and non-adjacent interior angles.

In this case, the Exterior Angle is 121. The sum can be found by combining 17x - 4 and 8x. Set the equation:

17x - 4 + 8x = 121

First, combine like terms:

17x + 8x - 4 = 121

(17x + 8x) - 4 = 121

(25x) - 4 = 121

Next, Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides of the equation:

25x - 4 (+4) = 121 (+4)

25x = 121 + 4

25x = 125

Next, divide 25 from both sides:

(25x)/25 = (125)/25

x = 125/25

x = 5

5 is your value for x.

~

A farm has 56 horses and sheep in all. There are 8 fewer sheep than horses. How many horses are there on the farm?

Answers

Answer:

32 Horses

Step-by-step explanation:

32-8=24

There are 32 horses and 24 sheep (As you can see there are 8 fewer sheep than horses)

I sort of guess and checked:

I tried to think of 2 numbers that added to 56 but one number was 8 less than the other one.I figured out that 32 and 24 fit this description :)

Riley and Rhoda plan to buy several bags of dog food and a dog collar. Each bag of dog food costs $7, and the dog collar cost $5

Answers

Answer:

2bags= $14 + $5

3bags= $21+ $5

4bags= $28 + $5

5bags= $35 + $5

6bags= $42 + $5

multiply # of bags by 7

and add $5

what ratio is lesa than 7/15​

Answers

Answer:

2/5=6/15 and that is less so....

Step-by-step explanation:

translate the sentence into an equation

The sum of 6 times a number and 2 is equal to 3

Answers

Answer:

6x + 2 = 3

Step-by-step explanation:

x would represent the unknown number

The sum refers to addition

6 times a number would be 6x (you can use any variable, but for this example I'm using x)

When you put it all together, it is 6x + 2 = 3

The required equation is 6x + 2 = 3.

It is required to find the equation.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers

Given:

The sum of 6 times a number and 2 equals 3.

According to given question we have,

Let the number be x.

6 times a number would be

6x

The sum of 6 times a number and 2 equals 3.

6x + 2 = 3.

Therefore, the required equation is 6x + 2 = 3.

Learn more about equation here:

brainly.com/question/18760193

#SPJ2

Una partícula se mueve sobre el eje x de acuerdo con la ecuación del movimiento
s=f(t) donde s es la distancia dirigida al origen en pies a los t segundos.
a) La velocidad v(t) y la aceleración a(t) en el instante t.
b) El instante t en el que la velocidad es cero.
s= 6t-t²
s=t²-6t
s= t²-9t+24

Answers

Answer:

a)

s= 6t-t² -->  v = 6 -2t  --> a = -2

s=t²-6t  --> v = 2t-6       -->    a = 2

s= t²-9t+24  -->  v = 2t -9   -->  a = 2

b)

v = 6 -2t  = 0  --> t = 3

v = 2t-6  = 0   --> t = 3

v = 2t -9   = 0 --> t = 9/2

Step-by-step explanation:

si s(t) es la distancia, la velocidad es la primera derivada v(t) = s'(t)

y la acceleracion es la segunda derivada : a(t)= v'(t) = s''(t)

s= 6t-t² -->  v = 6 -2t  --> a = -2

s=t²-6t  --> v = 2t-6       -->    a = 2

s= t²-9t+24  -->  v = 2t -9   -->  a = 2

g If a snowball melts so that its surface area decreases at a rate of 8 cm 2/min, find the rate at which the diameter decreases when the diameter is 9 cm.

Answers

Step-by-step explanation:

The snowball is spherical in nature

The total surface area of the ball = 4πr²

Or 4π(d/2)²

S = 4πd²/4

S = πd²

d is the diameter of the ball

The rate at which the area is decreasing is expressed as;

dS/dt = dS/dd • dd/dt

dd/dt is the rate at which the diameter is decreasing

dS/dd = 2πd

dS/dt = 2πd • dd/dt

dS/dt = 2π(9) • dd/dt

8 = 18π•dd/dt

dd/dt = 8/18π

dd/dt = 4/9(3.14)

dd/dt = 4/28.26

dd/dt = 0.1415cm/min

Hence the diameter is decreasing at the rate of 0.1415cm/min

Other Questions
in a triangle the height of a triangle h os measured by the formula h=2A/b where A = area of triangle and b=base of a triangle solve the formula for b Which answer choice is the best revision of the nonstandard sentence shownbelow?We coulda, I dunno, gone to the store before we got home.A. I dunno, we could've gone to the store.We could of, I don't know, gone to the store before we got home.We could have gone to the store before we got home.I don't know, we could of gone to the store before we got home. Complete the work to solve for y: 25 ( 12 y + 5 ) 45 = 12 y 1 + 110 y1.Distributive property: 15 y + 2 45 = 12 y 1 + 110 y2.Combine like terms: 15 y + 65 = 35 y 13.Subtraction property of equality: 65 = 25 y 1 Addition property of equality: 115 = 25 y4.Division property of equality: Which of these questions might a geographer try to answer?AHow can we accurately represent the rivers and oceans on Earth?BHow can we model the force of the Sun's gravity on the solar system?How can we model and describe the way bridges change over time?DWhy do some people have red hair? The endpoints of PQ are P(-3, 1) and Q(4, 25) Find the midpoint of PQ To simplify -36 (2)(3)^ 2 + 5, we first _____.A.evaluate the exponentB.divide -36 by 6C.multiply the parenthesisD.divide -36 by 2 Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has oil and the test predicts it?A. 0.09B. 0.11C. 0.36D. 0.44 which shows graph (-3,5) and (4,-3) plotted correctly? PLZ HELP ASAP!!!! In a recent survey, 62 students out of 100 choose corn as their favorite lunch item. If Washington has 3,800 students, how many students atWashington would say corn is their favorite? Based on the excerpt, what was the main reason that the Founding Fathers wrote the Constitution?A. They wanted to reduce the power of the states.B. They wanted to improve the alliance of the states.C. They wanted to establish new courts for the states.D. They wanted to resolve important differences among the states. I will ask this question twice. Once for each drop down. (This question is drop down 2)Use the drop-down menus to complete the sentence.In the government of the European Union, the [drop down 1] is elected by people in the EU and passes laws, while the [drop down 2] is appointed by governments of member countries and proposes legislation.Drop down 2:A. European CouncilB. European ParliamentC. European CommissionD. Court of Justice What is the volume of a weather balloon that has 39 grams of helium with a density 0.017 g/mL? Show your work: 15x = 0 can you help my sis out agan sorry The outermost electrons is an atom's electron cloud are called ____A. sonsB. isotopesC. valence electronsD. neutrons what is the product 7/11 and 3/7? Ladybugs were introduced as predators into anagricultural area of the United States to reduce thenumber of aphids feeding on grain crops. Thisaction is an example ofA. biological control of insect pestsB. preservation of endangered speciesC. conservation of natural resourcesD. protection of watersheds PLEASE HELPWhich object has the least average speed?A. object AB. object BC. object CD. object D Brynne withdrew all the money from her savings account in a series of 4 withdrawals and now has a balance of - $20. What is the average change on her account per withdrawal Response 1The Inhabitants of the Massachusetts bay were notorious in the smuggling Business, from theCapital Merchant down to the meanest Mechanick [poorest craftsmen]. . . . So lost to all Sense ofHonor was this Set of Men, that the smuggling Trade went on as usual, until at last . . . it brought onthe present Rebellion. . . .. . . The Ministry . . . procured a new Act [in 1767] to be passed, laying Duties upon Tea, Glass,Paper, and Painters Colours. This Act was not more unreasonable than many other Acts which hadbeen submitted to for many Years past, and which, even at this Time, they made no Objection to. . ..As to the Glass in particular, the Duty was so trifling, that it would not have enhanced the Price of itto the Purchaser. . . . The true Reason of Opposition was this: The Inhabitants of the Colonies werea Race of Smugglers. They carried an extensive Trade with the Dutch, not only in Holland, but verygreatly with the Dutch Settlements in the West Indies. . . . The Smugglers then, who were theprevailing Part of the Traders in the Capitals of the several Provinces, found it necessary for theirInterest, to unite in defeating the Operation of the Act.Peter Oliver, former chief justice of the royal colony of Massachusetts, Origin and Progress of theAmerican Rebellion, published in 1781Using the excerpt, answer (a), (b), and (c).Briefly describe the point of view expressed by Oliver inthe excerpt.Briefly describe a historical situation in which Oliverproduced the excerpt.Briefly describe ONE piece of evidence used by Oliver tosupport his argument in the excerpt.