Evaluate the expression 1/4 x (3/9 + 5)
Choices:1 1/3,1 2/3,5,answer not here.

Answers

Answer 1

Answer:

First option

Step-by-step explanation:

Given the following equation:

[tex]\frac{1}{4} \times(\frac{3}{9} +5)[/tex]

In order to find the answer, we solve the equation in between the parenthesis according to order of operations and then multiply that answer by 1/4.


[tex]\frac{1}{4} \times(\frac{3}{9} +5)[/tex]
[tex]5=\frac{5}{1}[/tex]
[tex]\frac{3}{9} +\frac{5}{1}[/tex]
[tex]3\times1=3[/tex]
[tex]9\times1=9[/tex]
[tex]5\times9=45[/tex]
[tex]1\times9=9[/tex]
[tex]\frac{3}{9} +\frac{45}{9}[/tex]
[tex]3+45=48=\frac{48}{9}[/tex]
[tex]\frac{48}{9} \div3=\frac{16}{3}[/tex]

[tex]\frac{1}{4} \times\frac{16}{3}[/tex]
[tex]1\times16=16[/tex]
[tex]4\times3=12[/tex]
[tex]\frac{16}{12} \div2=\frac{8}{6} \div2=\frac{4}{3}[/tex]
[tex]\frac{4}{3} =4\div3=1\frac{1}{3}[/tex]
[tex]=1\frac{1}{3}[/tex]

Hope this helps.


Related Questions

How many edges does a triangular based pyramid have?

Answers

Answer:

6 edges

Step-by-step explanation:

Answer:

6 edges

Step-by-step explanation:

3 on the bottom, 3 going up to the point

1/5 divided by (6 x 4)

Answers

Answer:

1/120

Step-by-step explanation:

(1/5) / (6 * 4)

First simplify:

(1/5) / 24

Then, multiply be the reciprocal of 24 (Skip, Flip, Multiply):

[tex]\frac{1}{5} (\frac{1}{24})[/tex]

and you get:

1 / (5 * 24)

1/120

HELP ASAPPPP


please help me

Answers

Answer:

x=3, y=4

Step-by-step explanation:

hope this helps!

pls mark brainliest

Hattie had $6600 to invest and wants to earn 4% interest per year. She will put some of the money into an
account that earns 2.7% per year and the rest into an account that earns 4.9% per year. How much money
should she put into each account?

Answers

Answer:

The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100

Step-by-step explanation:

Let

x ------> the amount of money that should be invested at the rate of 12%

3,000-x -----> the amount money that should be invested at the rate of 10%

we know that

The sum of the interest on each of the accounts must be equal to the total interest.

Solve for x

therefore

The amount of money that should be invested at the rate of 12% is $900 and the amount of money that should be invested at the rate of 10% is $2,100

Hope this helps you!!!! :D

Which inequalities are equivalent to r + 45 < 16? Check all that apply.
Or + 45 < 16 - 45
or + 45 – 16 < 16 – 16
Or +45 + 3 < 16 + 3
s + 45 - 16 < 16
Or + 45 - 45 < 16 - 45

Answers

Answer:

the last option hope this helps

Step-by-step explanation:

Answer:

+ 45 - 45 < 16 - 45 is answer

Step-by-step explanation:

I need help, has to be turned in tomorrow morning!

Answers

Answer: (5,5)

Step by step explanation:

We have the two equations

-7x + y = -30 and y = 2x - 5

one of the equations "define" y therefore we can plug the value of y into the other equation and solve for x

-7x + y = -30

plug in y = 2x - 5

-7x + 2x - 5 = -30

combine like terms

-5x - 5 = -30

add 5 to both sides

-5x = -25

divide both sides by -5

-5x/-5 = x and -25/-5 = 5

we're left with x = 5

we now plug in the value of x into one of the equations and solve for y

2x - 5 = y

x = 5

2(5) - 5 = y

multiply 2 and 5

10 - 5 = y

subtract

y = 5

the solution is (5,5)

What is an equation of the line that passes through the points (-4, -6)(−4,−6) and (4, 4)(4,4)?

Answers

Answer:

y=5/4x-1

Step-by-step explanation:

A footbridge over a river is modelled by the equation h=-0.05x^2+0.36x+1 where “H”
represents the height above the water in metres and “x” represents the distance from the bank in meters. What is the maximum height of the bridge? Show Steps.

Answers

Answer: 12 m

Step-by-step explanation:he path of a football has been modeled by the equation:

Write an equation using four numbers that multiply to 0, none of which are opposites.

Please help! Thank you!

Answers

Answer:

  6×5×4×0 = 0

Step-by-step explanation:

In order for a product to be zero, one (or more) of the factors must be zero. You can pick any numbers you like for the factors, but one of them must evaluate to zero.

  0 = 0·3·2·1

  0 = -85·(3 -2 -1)

One soulution contains 2 parts salt to 8 parts water, and another contains 3 parts salt to 5 parts water. How much of each should be mixed together in order to obtain 280 quarts of a soulution that is 3 parts salt to 7 parts water?

PLS HELP!!!!

Answers

Answer:

120

Step-by-step explanation:

Given,

Solution A contains 2 parts salt to 8 parts water

Solution B contains 3 parts salt to 5 parts water

Target Mixture contains3 parts salt to 7 parts water:

Expressing the salt concentration in decimal form

Solution A: 2/(2 + 8) = 2/10 = 0.20 salt

Solution B: 3/(3 + 5) = 3/8 = 0.375 salt

Mixed Solution: s/(3 + 7) = 3/10 = 0.30 salt

Since target mixture is 280 quarts

If the amount of 0.375 salt present in mixed solution = x

Then, the amount of 0.20 salt, y = 280 – x

Using a typical mixture equation

0.375x + 0.20(280-x) = 0.30(280)

0.375x + 56 - 0.20x = 84

Subtract 56 from both sides of the equation

0.375x - 0.20x + 56 – 56 = 84 – 56

0.375x - 0.20x = 28

0.175x = 28

Divide both sides of the equation by 0.175

0.175x/0.175 = 28/0.175

x = 160

y = 280 – x

y = 280 – 160

y = 120

Solve for missing a.....

Answers

Answer:

a = 2√11

Explanation:

Using Pythagoras theorem:

           a² + b² = c²

          a² + 10² = 12²

          a² = 144 - 100

          a² = 44

          a = √44

          a = √2*2*11

          a = 2√11

Answer:

a = 2√11

Step-by-step explanation:

HELP PLS PLS PLS PLS

Answers

Answer:

The probability of a person going to work by car is 48

And the probability of different way is 52

Step-by-step explanation:

As it's represented in the table above, there are 48 percent employees use cars as their transportation to work, and to find the rest sum all the probability of other transportation together which will give you 52 percent.

find the equation of the line
use exact numbers

Answers

Answer:

y = 1/2x + ( - 3)

Step-by-step explanation:

According to the graph, the line has the following intercepts.

y - intercept of  (0, - 3)x - intercept of (6, 0)

The line equation is:

y = mx + b

The slope is:

m = (0 - (-3)) / (6 - 0) = 3/6 = 1/2

The line is:

y = 1/2x + (- 3)

Write these numbers in order, starting with the smallest. 7.13 1.7 7.117 7.2 1.17 ​

Answers

Answer:

1.17 , 1.7 , 7.117 , 7.13 , 7.2

this is the arranged order

What is the equation of a line that contains points (–4, –3) and (–2, –6)?

Answers

Hey, here’s your answer:)

A track team has 24 Students The ratio of females
to males is 5/7. How many females are on the team? How many males.​

Answers

Answer:

There were 10 females and 14 males on the team.

Step-by-step explanation:

Step-1: Add the ratios.

5 + 7 = 12

Step-2: Divide it with the total number of students.

24 ÷ 12=> 2

Step-3: Multiply.

5 x 2 = total females

        7 x 2 = total males

=> 10 females=> 14 males

Hence, there were 10 females and 14 males on the team.

x=39632689x395+7445.7545=?
i asked before but the question wasn't there so pls help

Answers

Answer:

15654919600.8

Step-by-step explanation:

39632689x395+7445.7545= 15654919600.8

Answer:

X= 15654919600.8

-1/2 + (3/4 x 4/9) = ?
help?

Answers

Answer:

[tex]x \times \frac { - 1}{ - 6} [/tex]

Step-by-step explanation:

explanation is in the image above

Answer:

-1/6

Step-by-step explanation:

lets do the bracket first

3/4 x 4/9

turn the denominators the same

27/36 x 16/36

=1/3

-1/2+1/3

-1/6

What is the distance between (-1,5) and (2,9)

Answers

Answer:

5 units

Step-by-step explanation:

To find the distance between two points on a graph, we use the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2[/tex] where [tex]d[/tex] is the distance between points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

For this problem, we will identify [tex](x_1,y_1)\rightarrow(-1,5)[/tex] and [tex](x_2,y_2)\rightarrow(2,9)[/tex]:

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(9-5)^2+(2-(-1))^2}\\\\d=\sqrt{(4)^2+(3)^2}\\\\d=\sqrt{16+9}\\\\d=\sqrt{25}\\\\d=5[/tex]

Therefore, the distance between [tex](-1,5)[/tex] and [tex](2,9)[/tex] is 5 units

George has 4 pounds of ham to make 16 sandwiches. He puts the same amount of ham on each sandwich. Which statement about George’s sandwiches is true?

Question 2 options:

Each sandwich has 4 pounds of ham.


Each sandwich has 1 pound of ham.


Each sandwich has one fourth pound of ham.


George has one half pound of ham left over.

Answers

Each Sandwich has one fourth pound of ham. 4 divided by 16 equals 1/4

)) At the end of the Crimson Comet's soccer season, Coach Shawn hosted a party for the
players. He had 24 players on his team and ordered enough extra large pizzas for each player
to eat 3 slices. Extra large pizzas have 12 slices each and cost $16. How much did all the
pizzas cost?

Answers

24 divided by 3=8 pizzas ordered
8x16=$128

find value of x. ROUND TO NEAREST HUNDREDTH. PLS HELP. WILL AWARD BRAINLIEST

Answers

Answer:

[tex]x[/tex] = 24.57 to the nearest hundredth

Step-by-step explanation:

The three sides of a right-angled triangle have specific names:

The hypotenuse (H) is the longest side. It is opposite the right angle.The opposite side (O) is opposite the angle in question.The adjacent side (A) is next to the angle in question.

The 3 trigonometric ratios are:

[tex]sin(\theta)=\frac{O}{H} \\\\cos(\theta)=\frac{A}{H} \\\\tan(\theta)=\frac{O}{A}[/tex]

For the given triangle we are given the angle, the hypotenuse, and need to find the side that is ADJACENT to the angle.

Therefore, we would use the trig ratio:  [tex]cos(\theta)=\frac{A}{H}[/tex]

Substituting the values from the triangle:  [tex]cos(35)=\frac{x}{30}[/tex]

Multiply both sides by 30:  [tex]30cos(35)=x[/tex]

Therefore, [tex]x=24.57456133...[/tex]

So [tex]x[/tex] = 24.57 to the nearest hundredth

How do you rename a mixed number as a fraction khan academy.

Answers

Answer:

There's no answer choices but I can give you an example.  

Step-by-step explanation:

Let's say you have [tex]\frac{25}{4}[/tex].  Think about what the closest whole number 25/4 will give you.  Since 24 and 25 are close you can do 24/4 and get 6.  Now since you took one number away from the 25 you have a remainder.  Since the denominator is 4 your final answer would be 6[tex]\frac{1}{4}[/tex].  

Hopefully this helps.  

Can i pls get some help here with how to even solve it using clear steps? ​

Answers

first off, let's split the triplet into two equations, then from there on we'll do substitution.

[tex]\cfrac{y}{x-z}=\cfrac{x}{y}=\cfrac{x+y}{z}\implies \begin{cases} \cfrac{y}{x-z}=\cfrac{x}{y}\\[2em] \cfrac{x}{y}=\cfrac{x+y}{z} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{\cfrac{y}{x-z}=\cfrac{x}{y}\implies }y^2=\underline{x^2-xz} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 2nd equation}}{\cfrac{x}{y}=\cfrac{x+y}{z}\implies }xz=xy+y^2\implies \stackrel{\textit{substituting for }y^2}{xz=xy+(\underline{x^2-xz})}[/tex]

[tex]2xz=xy+x^2\implies 2xz=x(y+x)\implies \cfrac{2xz}{x}=y+x \\\\\\ 2z=y+x\implies 2=\cfrac{y+x}{z}\implies 2=\cfrac{x+y}{z} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{}{ \begin{cases} \cfrac{y}{x-z}=\cfrac{x}{y}\\[2em] \cfrac{x}{y}=\cfrac{x+y}{z} \end{cases}}\implies \begin{cases} \cfrac{y}{x-z}=\cfrac{x}{y}\\[2em] \cfrac{x}{y}=2 \end{cases}\implies \begin{cases} \cfrac{y}{x-z}=2\\[2em] \cfrac{x}{y}=2 \end{cases}[/tex]

that of course, is only true if x + y, or our numerator doesn't turn into 0, if it does then our fraction becomes 0 and our equation goes south.  Keeping in mind that x,y and z are numeric values that correlate like so.

What is the quotient of 5 5/8 divided by 6

Answers

Answer:

15/16

Step-by-step explanation:

just trust the math. I hope it helped!

[tex]\tt 5\dfrac{5}{8}\div 6\\\\\dfrac{45}{8}\div 6\\\\\dfrac{45}{8}\times \dfrac{1}{6}\\\\\dfrac{45}{48}=\boxed{\bold{\dfrac{15}{16}}}[/tex]

If 24 out of 40 cookies are chocolate, how many chocolate cookies will there be per 100 cookies total?

Answers

Answer:

60 cookies

Step-by-step explanation:

We can use ratios to solve

24          x

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

40        100

Using cross products

24*100 = 40x

2400 = 40x

Divide each side by 40

2400/40 =x

60 = x

Using identity evaluate: (104)²​

Answers

Answer:

104×104=10816

Step-by-step explanation:

104²=104×104

=10816

A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.




A triangular prism is shown with base of triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm.




Part A: What is the height of the box? Show your work. (5 points)


Part B: What is the approximate amount of cardboard used to make the sides of the candy box? Explain how you got your answer. (5 points)

Answers

Answer:

  A) 12 cm

  B) 520 cm² (just sides); 720 cm² (sides and base)

Step-by-step explanation:

A)

The volume of a triangular prism is given by the formula ...

  V = 1/2LWH . . . L = length, W = width, H = height

Filling in the given dimensions, we can find the height.

  1200 cm³ = 1/2(20 cm)(10 cm)H

  1200 cm³/(100 cm²) = H = 12 cm . . . . divide by the coefficient of H

The height of the box is 12 cm.

__

B)

Only the two rectangular faces with dimensions 13 cm by 20 cm are described in this problem statement as "sides." The area of each of those two faces is ...

  A = LW

  A = (20 cm)(13 cm) = 260 cm²

So, the area of the two sides is ...

  2 × 260 cm² = 520 cm² . . . . area of sides

__

If we also describe the base as a side of the box, its area is ...

  A = LW = (20 cm)(10 cm) = 200 cm²

Added to the area of the other two sides, the total "side" area is 720 cm².

Y=3x
Y=x+4
What is substitute and the solution?

Answers

take the second equation and plug it into the first one after you set it equal to x.

so y+4=x then plug it into the first equation.

y=y+4-4

then 4-4=0

so your answer would be y=y which would make it be no solution

3x = x - 4

x = -2

Since y = 3x, then y = 3(-2) = -6. It also satisfies the second equation

how do you solve

y=3x

y=x-4

using substitution

----------

3x = x-4

2x = -4

x = -2

--------

y = -6

Tim is playing a game on his computer. He missed the first 10 questions, and each question is worth 4 points. If his starting score was zero and he has not gotten any questions correct, what is Tim's score?

Answers

Answer:

0

Step-by-step explanation:

he got all of them wrong

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