Evaluate the following expression. Express your answer in simplest form. 3/16 + 5/8 × 1/2​

Answers

Answer 1

Answer:

1/2

Step-by-step explanation:

We have to follow the order of operations. Since there are no parenthesis or exponents, we do multiplication first. to multiple fractions, we multiply the two numerators (top parts), which in this situation would get us 5*1=5. Then, we multiply the two denominators (bottom parts), which would get us 8*2=16. then we put the first result over the second, and we get 5/16. since the two denominators are the same, we don't need to change anything. we can just add the numerator, and get 8/16, which simplifies to 1/2.


Related Questions

If one is subtracted from seven times a certain number,
the result is the same as if 31 is added to three times the
number. Find the number.

Answers

Answer:

The number is 8

Step-by-step explanation:

Stephen plans to attend community college for two years. His expenses are only $2,000 each year, because his parents are paying the rest. He earned a one-time $900 scholarship. How much will he need to pay for the two years of college from his savings or by working? $1,100 $2,200 $3,100 $4,900

Answers

Answer: $3100

Step-by-step explanation:

Stephen plans to attend community college for two years and his expenses are only $2,000 each year. For both years, his expenses will be:

= $2000 × 2

= $4000

Since he earned a one-time $900 scholarship. The amount left to pay will be:

= $4000 - $900

= $3100

Answer:

3100

Step-by-step explanation:

Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute. Marla will use both copiers to make a total of 1200 copies of the newsletter. Both copiers will start and end at the same time. How many minutes will it take to make 1200 copies?

Answers

Answer:

12 minutes.

Step-by-step explanation:

Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute.

Since both copier start at the same time, let the number of minutes used by both copiers be represented by x

60 × x + 40 × x = 1200 copies

60x + 40x = 1200

100x = 1200

x = 1200/100

x = 12 minutes

Therefore, it will take 12 minutes l to make 1200 copies.

The time (X) to complete a standardized exam is approximately normal with a mean of 70 minutes and standard deviation of 10 minutes. How much time should be given to complete the exam so that 80% of the students will complete the exam in the time given?

Answers

Answer:

77.88 minutes

Step-by-step explanation:

Given that :

Mean (m) = 70

Standard deviation (s) = 10

For 80% of student to complete the exam. In the given time

Using the formula :

Zscore = (X - mean) / standard deviation

80th percentile = 80/100 = 0.8 has a Zscore = 0.7881

0.7881 = (X - 70) /10

0.7881 * 10 = X - 70

7.881 = X - 70

7.881 + 70 = X

77.881 = X

Hence, 77.88 minutes should be given

Directions: Solve the problem Label your final answers. Show all work.

Tickets to the Haunted House are $6.50 for adults and $4.30 for children.

How much would it cost for two adults and four children?


How much change would you get if you pay for the tickets with a $50 bill?

Answers

Answer:

The total cost for two adults and four children is $30.2

The change that you would get if you pay for the tickets with a $50 bill is $19.2

Step-by-step explanation:

$6.5 * 2 adults = $13

$4.3 * 4 children = $17.2

$13 + $17.2 = $30.2

$50 - $30.2 = $19.8

Hope this helps and pls do mark me brainliest if you can:)

−8x+9y=-21 -3x+9y=−36

Answers

Answer:

x=-3  y=-5

Step-by-step explanation:

big brain

Twelve Divided by the sum of a number and five

Answers

12/x+5
x represents “a number” because it’s unknown and the + sign is because the words sum

What is the inverse operation of addition?

Answers

Answer:Inverse operations are opposite operations. Subtraction is the inverse of addition and division is the inverse of multiplication.

Step-by-step explanation:

I need help please I don’t understand this

Answers

Answer:

cosB = 21/75, tanB = 72/21

Step-by-step explanation:

Here, we can use pythagoras to figure out all sides. 75^2-72^2 = 21^2. So, we have sides with lengths 21, 72, and 75. We are given that sinB = 72/75. The definition of sin is opposite of hypotenuse. So, the opposite of angle B is side CA and the hypotenuse is BA. This allows us to find that BC is the 21 length side. The cos of an angle is adjacent over hypotenuse. In this case, it is BC/BA which is 21/75. similarly, Tan is opposite over adjacent or 72/21. And we are done. Those are the values. TO remember these, use the acronym:

SOH CAH TOA. S refers to sin and OH refers to opposite over hypotenuse. Similarly C is cos, A is adjacent, and H is hypotenuse, and then T is tan,  o is opposite and A is adjacent.

PLEASE HELP!
Solve x2 + 5x = −6.

x = 5 and x = 1
x = −5 and x = −1
x = 3 and x = 2
x = −3 and x = −2

Answers

X^2 + 5x = -6

Add 6 to both sides:

X^2 + 5x + 6 = 0

Using the quadratic equation x = -b +/-sqrt(b^2 -4ac )/2a replace the letters with their values and solve for x.

A = 1, b = 5 , c = 6

Solving for x you get -2 and -3

The answer would be x = -3 and x = -2

guys pls pls help WILL mark brainliest

Answers

Answer:

Yes, y varies directly with x. The constant of variation is -3 so the function rule would be y= -3x

Step-by-step explanation:

If you look at the y values in the table, they are just the x values but multiplied by -3.

-3 x (-3) = 9

4 x (-3) = -12

6 x (-3) = -18

Direct variation can be shown by y=kx, where k is a constant. The resulting function creates a linear graph.

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION RQ!!!!!!

Answers

Answer: 6 i thank

Step-by-step explanation:

So three quarters is 1/3. So 1/3 of 18 is 6.

And the average size of an  Gecko is 18in

And  a Iguanas is 1/3 that of an Gecko

Hopefully that helps

if it takes joan 10 weeks to make 2 dollhouses how long will it take her to make 15 dollhouses

Answers

Answer:

75 weeks

Step-by-step explanation:

We can write a ratio to solve

10 weeks       x weeks

--------------- = ---------------

2 hours          15 houses

Using cross products

10 * 15 = 2 * x

150 = 2x

Divide by 2

150/2 = 2x/2

75 = x

75 weeks

Can you guys please help me again

Answers

Answer:

its D    1  7/8 also which is 1R7

Step-by-step explanation:

mark me as brainliest

HELP PLEASE & EXPLAIN . *like i said on my other question if you answer my math questions that i post accurately i will give you brainliest each time *

Marty's class collected $34.00 in a school-wide penny collection contest. If Tommy's class added $3.00 to the amount they collected,x,and then multiplied the sum by 2, they would have the same amount of money as Marty's class.

a) $20.00
b) $14.00
c) $3.00
d) $17.00

Answers

Answer:

It is so C

Step-by-step explanation:

hopefully that really helps you have a great day

The population of a colony of bacteria can be modeled by the function P(t) = 19,300(5)t, where t is the elapsed time in hours. What is the inverse function? P–1(t) = 19,300 log5 (t) P–1(t) = log5 (19,300t) P–1(t) = log5 (StartFraction t Over 19,300 EndFraction) P–1(t) = 19,300 (One-fifth) Superscript t

Answers

Answer:

The inverse of the function is

P^-1(t) = Log5 t - Log5 19,300

or P^-1(t) = Log5 (t/19,300)

Step-by-step explanation:

Here, we want to find the inverse of the function.

Make t the subject of the formula, then solve the equation for P(t)

P(t) = 19,300(5)^t

Replace P(t) with t and t with P(t)

So we have

t = 19,300(5)^P(t)

Now make P(t) subject of formula

divide both sides by 19,300

t/19,300 = 5^p(t)

By logarithmic law:

Log5 (t/19,300) = P(t)

Hence P(t) = Log5 t - Log5 19,300

Now replace P(t) with P^-1(t)

So the inverse is;

P^-1(t) = Log5 t - Log5 19,300

Answer:

C)

Step-by-step explanation:

got it right on edge :)

Does anyone know how to do this??

Answers

Answer:

Step-by-step explanation:

i'll explain how to do 9), it is the same process for the rest

y = 2x - 1

thus the value of 'y' should be the same as the result of '2x - 1'

when x = 5, 2x - 1 = 2(5) - 1 = 9, Thus (x, y) = (5, 9)

when x = 2, 2x - 1 = 2(2) - 1 = 3 Thus (x, y) = (2, 3)

when x = 0, 2x - 1 = 2(0) - 1 = 1 Thus (x, y) = (0, 1)

so in the table we have

x        2x - 1      y         (x, y)

5          9          9         (5, 9)

2          3          3         (2, 3)

0          1           1          (0, 2)

we can now plot these values on a graph to look like so

The distance light travels in one year is known as a light year. A light year is equal to 5.87 × 1012 miles. The closest that Earth ever gets to Jupiter is 3.65 × 108 miles. What is a correct representation of the number of years it will take light to travel from Earth to Jupiter at this distance? Check all that apply.

Answers

Answer:

[tex]6.21\times 10^{-5}\ \text{light years}[/tex]

Step-by-step explanation:

The distance light travels in one year is known as a light year.

[tex]1\ \text{light year}=5.87\times 10^{12}\ \text{miles}[/tex]

The closest that Earth ever gets to Jupiter is [tex]3.65\times 10^8\ \text{miles}[/tex]

[tex]3.65\times 10^8\ \text{miles}=\dfrac{1}{5.87\times 10^{12}}\times 3.65\times 10^8\ \text{light years}\\\\=6.21\times 10^{-5}\ \text{light years}[/tex]

Hence, the distance it will take light to travel from Earth to Jupiter at this distance is [tex]6.21\times 10^{-5}\ \text{light years}[/tex]

Elimination


- 14x - 18 y = 18
7x + 9y = -9

Answers

Answer:

Your answer is: (x , -1 -7x/9 )

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Step-by-step explanation:

Hope this helped : )

I will mark as brainly please hurry!

Nicholas started a canned-food drive at school. The equation representing this is y = 235x + 15, where x is the number of days, and y is the number of cans collected. Explain how to determine how many days it would take to collect 2600 cans.

Answers

Answer:

just divide and add x and y

Step-by-step explanation:

Answer:

11 days

Step-by-step explanation:

2600 = 235x+15

-    1 5            - 15

2585           235x

/235             /235

11       = x

Solve for r.
-13 = r/9 + 8

Answers

Answer:

Your answer is going to be r= -189

Step-by-step explanation:

(-13)-8=(r/9+8)-8

9(-21)=(r/9)9

r=-189

Write 0.00034 as a multiple of a power of 10.

Answers

3.4*10^-4
hope this helps!!

Answer:

3.4X10^-4

remove the zeros and add a decimal point after the first number eg.

0.00034 -->  34 --> 3.4

then add a x 10 eg.

3.4x10

then add a power- if the number is larger than 1 count the amount of zeros and add that as your power eg.

3400 -> 34 -> 3.4 -> 3.4x10^2

If the number is lower than one use a negative power eg.

0.00034 -> 34 -> 3.4 -> 3.4x10^-4

(Hope this helps sorry if its to complicated)

write the sentence as an equation 253 is the product of 69 and g

Answers

Answer:

253=69g or 253=69(g)

Step-by-step explanation:

What value of x satisfies 6x - 8 = 22 - (x - 5)?
A. 6
B, 5
C. 4
D. 7

Answers

Answer:

B

Step-by-step explanation:

6(5)-8=22-(5-5)

30-8=22

22=22

-8x + 3y = 18
-7x – 2y= 25
(-3,-2)

Answers

Answer: what is the question though

Step-by-step explanation:

Solve for g: 4gh+3=−8

Answers

Answer:

-2.75h-1

Step-by-step explanation:

The Walnut Cove Ruritan Club sells hot dogs and drinks from a concession stand at the annual 4th of July parade. Carl bought 4 hot dogs and 6 drinks and paid $23.80. Susan purchased 4 hot dogs and 2 drinks and was charged $15.40. What is the cost of 1 hot dog and what is the cost of 1 drink?

Answers

Let, cost of 1 hot dog and 1 drink is x and y respectively.

Carl bought 4 hot dogs and 6 drinks and paid $23.80.

4x + 6y = 23.80  ....1)

Susan purchased 4 hot dogs and 2 drinks and was charged $15.40.

4x + 2y = 15.40  ....2)

Subtracting equation 2 by 1, we get :

(4x + 6y) - (4x + 2y) = 23.80 - 15.40

4y = 8.4

y = $2.1

4x + 6×2.1 = 23.80

4x = 23.80 - 12.2

4x = 11.6

x = 2.9

Therefore, the  cost of 1 hot dog and what is the cost of 1 drink is $2.9 and $2.1 respectively.

Hence, this is the required solution.

McKenzie told her friend, “If you increase my age by 8, multiply that quantity by 1/2 , and then subtract 6, you get 5.” Write an equation that matches McKenzie’s description using x as the variable.

Answers

Answer:

(8x/2)-6=5

Step-by-step explanation:

0.52 divided by 0.0013

Answers

Answer:

400

Step-by-step explanation:

determine which postulate or theorem can be used to prove that

Answers

answer should be a. asa hopefully this helps :)

Answer:

ASA

Step-by-step explanation:

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"We should do development ourselves "justify the statement Which statement(s) apply to stratified random sampling? Check all that apply.A) It can provide better estimates than a simple random sample.B) The researcher needs some knowledge of the population in terms of characteristics relevant to the study.C) A challenge is that it is necessary to have strata of the same size.D) Creating strata of similar individuals to sample from reduces variability.E) It can be difficult to obtain with a very large population. The initial pressure inside a closed container is 200 psi. As the temperature inside the container increases, the pressure increases. If the pressure increases 7.5 psi for each degree Fahrenheit of increased temperature, which equation best represents p, the pressure inside the container after the temperature has increased t degrees? is this correct or not when heat is added to a substance describe how the molecules are affected? Q.4 Find the area and perimeter of a square of side 85/4 Read this excerpt from Poor Harold.A room in Washington Square South. By the light of a candle, a young man in tousled hair and dressing gown is writing furiously at a little table. A clock within strikes seven.A door at the back opens, and a young woman looks in, sleepily. She frowns. The young man looks up guiltily.SHE. What are you doing?HE. (innocently) Writing.SHE. So I see. (She comes in, and sits down. It may be remarked that a woman's morning appearance, in dishabille, is a severe test of both looks and character; she passes that test triumphantly. She looks at the young man, and asks) Poetry?HE. (hesitatingly) No. . . .SHE. (continues to look inquiry).HE. (finally) A letter. . . .SHE. (inflexibly) To whom?HE. (defiantly) To my wife!SHE. Oh! That's all right. I thought perhaps you were writing to your father.HE. (bitterly) My father! Why should I write to my father? Isn't it enough that I have broken his heart and brought disgrace upon him in his old age SHE. Disgrace? Nonsense! Anybody might be named as a co-respondent in a divorce case.HE. Not in Evanston, Illinois. Not when you are the local feature of a notorious Chicago scandal. Not when your letters to the lady are published in the newspapers. Oh, those letters!SHE. Were they such incriminating letters, Harold?HAROLD. Incriminating? How can you ask that, Isabel? They were perfectly innocent letters, such as any gentleman poet might write to any lady poetess. How was I to know that a rather plain-featured woman I sat next to at a Poetry Dinner in Chicago was conducting a dozen love-affairs? How was I to know that my expressions of literary regard would look like love-letters to her long-suffering husband? That's the irony of it: I'm perfectly blameless.Which excerpt uses direct characterization?The young man looks up guiltily_.HE. (hesitatingly) No. . . .HE. (defiantly) To my wife!That's the irony of it: I'm perfectly blameless. PICK ALL THAT ARE EQUIVALENT TO -5/19 Can someone please Help me An electron moving in the direction of the x-axis enters a magnetic field. If the electron experiences a magnetic deflection in the -y direction, the direction of the magnetic field in this region points in the direction of the write an equation of a line passing through point p(4, 0) that is parallel to the line -x+2y=12 Microphone feedback kept blaring out the speaker's words, but I got the outline.Withdrawal of our troops from Vietnam. Recognition of Cuba. Immediate commutation ofa student loans. Until all these demands were met, the speaker said he consideredhimself in a state of unconditional war with the United States Government.I laughed out loud- Tobias Wolff, "Civilian"a .Why does the author choose this specific tone in order to achieve their purpose? 2. Find m 21.(1 point)33957921O 1471239057 On the map the distance between two towns is 10.5 centimeters. If 3 centimeters represents 90 miles what is the actual distance between the cities in miles? HELP PLS7. A steel ball is dropped from a height of 100 meters. Which velocity-time graph best describes themotion of the ball? 10.Which of the following rational numbers is the smallest?Required to answer. Single choice.(1 Point)4/7-26/70-1.6 PLSS!!! HELP ME!! I WILL MARK U!!! In the table, 0 represents the time when the storm started. How much snow was on theground then? 3.) Passive: Their house was built by ten construction workers.Active:__________________.4.) Passive: Meaningful lessons were taught to us by teacher Kelly.Active:__________________.5.) Passive: A lullaby song was sung by her.Active:__________________.Please help me How did the slave revolt of 1811 end?Slaveholders stopped the revolt with the help of militiamen.The US Army brought the revolt to an end. Rebel slaves gained control of Saint-Domingue. Rebel slaves took over New Orleans for 74 days.