How do you find the equality of 4/12=A/3

Answers

Answer 1

Answer:

A = 1

Step-by-step explanation:

[tex] frac. \: \frac{4}{12} = \frac{a}{3} [/tex]

[tex] \frac{ \: \: \: 4 \: \div \: x \: = \: a}{12 \: \div \: x \: = \: 3} [/tex]

[tex] \frac{ \: \: 4 \: \div \: x \: = \: a}{12 \: \div \: 4 \: = \: 3} [/tex]

[tex] \frac{ \: \: 4 \: \div \: 4 \: = \: a}{12 \: \div \: 4 \: = \: 3} [/tex]

[tex] \frac{ \: \: 4 \: \div \: 4 \: = \: 1}{12 \: \div \: 4 \: = \: 3} [/tex]

[tex] a= 1[/tex]


Related Questions

solve: 43x = 42
a: x= -3/2
b: x= -2/3
c: x=2/3
d: x=3/2

Answers

Answer: C

it's C) 2/3

Answer:

C! X = 2/3

Step-by-step explanation:

Next part on edge is

(C) X=1

2x - y = 10
y = -x - 1
Solve the system of equations
A (9.8)
B (3.-4)
C no solution

Answers

B:(3,-4)
2x-(-x-1)=10
X=3

Y=-3-1
Y=-4

Answer: option is C

Step-by-step explanation:

(7+x)+7x simplify each expression

Answers

Step-by-step explanation:

[tex](7 + x) + 7x \\ = 7 + x + 7x \\ = 7 + (x + 7x) \\ = 7 + 8x \\ = 8x + 7[/tex]

You draw two cards from a standard deck of 52 cards. What is the probability of drawing a club and then a diamond consecutively from the deck without replacement? A) 13 51 B) 13 105 Eliminate C) 13 204 D) 13 408

Answers

Answer:

There are 13 cards for each suit so the first fraction is 13/52 and the next one is 13/51 as there is no replacement for the first card you pulled.

Multiplying them you get: 13/52*13/51= 169/2652,

Then you divide both sides by 13 to get: 13/204

So, the answer is C.

I hope this helps!

The probability of drawing a club and then a diamond consecutively from the deck without replacement is 13/204.

Option C is the correct answer.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of cards = 52

Number of clubs = 13

Number of diamonds = 13

Now,

The probability of drawing a club.

= 13/52

And,

The probability of drawing a diamond consecutively from the deck without replacement.

= 13/51

[ There will be only 51 cards in total since we are not replacing ]

Now,

The probability of drawing a club and then a diamond consecutively from the deck without replacement.

= 13/52 x 13/51

= 13/4 x 1/51

= 13/204

Thus,

13/204 is the probability of drawing a club and then a diamond consecutively from the deck without replacement.

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how do you work out how many 1/3 cup servings are in 6 cups of pecans

Answers

Answer:

18 servings

Step-by-step explanation:

Because 6 divided by 1/3 is the same as 6*3, we can just do it that way so it makes more sense.

6*3= 18

And there you have your answer!

You multiply 6x3 and get 18 but if u need to show ur teacher do 6/1 x1/3


+32. Convert 45°F to
The formula to convert Celsius to Fahrenheit is F
Celsius. Round to the nearest degree.
O A. 49°C
O B. 113°C
O C. -1°C
O D. 7°C

Answers

Answer:

Option  D. 7°C

Step-by-step explanation:

Let the temperature in Fahrenheit (F) and the temperature in Celsius(C)

The formula to convert Fahrenheit to Celsius is ⇒ F = 1.8 C + 32

So, to Convert 45° F to Celsius, substitute with with 45° F

45 = 1.8 C + 32

Solve for C

1.8 C = 45 - 32

1.8 C = 13

C = 13/1.8 = 7.222

Rounding to the nearest degree ⇒ 45° F = 7° C

The answer is option  D. 7°C

Simplify the numerical expession 5-2 + 12 + 4?​

Answers

Answer:

The answer is 19

Step-by-step explanation:

Answer:so easy its 19 it's right i promise you

10 is decreased by four times the quantity of 8-3. One is an added to that result.

Answers

ends up being ten after all the steps but if you add one after that the answer is 11

what two numbers multiply into (-24) and adds up to (-10)?

Answers

Two numbers multiply into (-24) and adds up to (-10) are 2 & -12

Step-by-step explanation:

Here we need to find two numbers , with the following info:

Let us assume that two numbers are x & y .

two numbers multiply into (-24):

Two numbers are x and y , and there multiply is -24 i.e.

⇒ [tex]x(y) = -24[/tex]

two numbers adds up to (-10):

Two numbers are x and y , and there addition is -10 i.e.

⇒ [tex]x+y = -10[/tex] . .............. (1)

Let's solve this :

We know that , [tex](x+y)^2 = x^2 +y^2 +2xy[/tex]

⇒ [tex](x+y)^2 = x^2 +y^2 +2xy[/tex]

⇒ [tex](-10)^2 = x^2 +y^2 +2(-24)[/tex]

⇒ [tex]100 = x^2 +y^2 -48[/tex]

⇒ [tex]x^2 +y^2 =148[/tex]

Now,

⇒ [tex](x-y)^2 = x^2 +y^2 -2xy[/tex]

⇒ [tex](x-y)^2 = (148) -2(-24)[/tex]

⇒ [tex](x-y)^2 = (148) +48=196 = 14^2[/tex]

⇒ [tex]x-y = 14[/tex]     .......... (2)

Let's solve equation 1 & 2 by adding (1)+(2):

⇒ [tex](x+y)+(x-y) = -10 +14[/tex]

⇒ [tex]2x=4[/tex]

⇒ [tex]x=2[/tex]

Putting value of [tex]x=2[/tex] in [tex]x-y = 14[/tex] :

⇒ [tex]2-y = 14[/tex]

⇒ [tex]y = -12[/tex]

Therefore, two numbers multiply into (-24) and adds up to (-10) are 2 & -12.

at a local school the ratio of boys to girls was 8 to 9 if there were 117 girls how many boys were enrolled in the school?

i need help

Answers

The number of boys in the schools is 104.

Step-by-step explanation:

Given,

The ratio of boys and girls is 8:9

Number of girls = 117

Let us take,

Number of boys = 8x

Number of girls = 9x

To find the number of boys.

According to the problem,

9x = 117

or, x = [tex]\frac{117}{9}[/tex]

= 13

Hence, the number of boys = 13×8 = 104

Choose the solution to this inequality.

Answers

Answer:

the answer is B

Step-by-step explanation:

you subtract 9/5 on both sides, find the common denominator which in this case would be 10. so 35-18 is 17. turn that into a mixed fraction and you get 1 and 7/10

Cindy rode her bicycle 6 miles less than four times the number of miles that Scotty road. If Cindy rode his bicycle 42 miles, how many miles did Scotty ride?

Answers

Answer:

12

Step-by-step explanation:

42+6=48

48/4=12

f(4) if f(x) = 3x - 1

Answers

Answer:

f(4) = 11

Step-by-step explanation:

To evaluate f(4) substitute x = 4 into f(x)

f(4) = 3(4) - 1 = 12 - 1 = 11

if a+b = 8, a²-b²=16, then ab is?​

Answers

Answer:

a=5 and b=3

Step-by-step explanation:

a+b=8

okay, so the numbers that can make 8 are 4+4, 5+3, 6+2, and 7+1

Try 5+3

so plug them in

5+3=8

5*5=25

3*3=9

25-9=16

that's your answer

What is true about triangle AMB?
It is congruent to triangle ABC.
It is an obtuse triangle.
It is an isosceles right triangle.
It is a scalene triangle.

Answers

Answer:option c

Step-by-step explanation:

An Isosceles Right Triangle is a right triangle that consists of two equal-length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.

So the correct answer is option c. It is an isosceles right triangle.

What are the sides of an isosceles right triangle?

Since the two sides are equal it makes the corresponding angle congruent. Thus, in an isosceles right triangle two sides are congruent and the corresponding angles will be 45 degree each which sums to 90 degree. So the sum of three angles of the triangle will be 180 degrees.

What is the formula for an isosceles right triangle?

The area of the isosceles right triangle follows the general formula of the area of a triangle that is (1/2) × Base × Height. In ∆QPR shown above with side lengths PQ = QR = x where PQ represents the height and QR represents the base, the area of isosceles right triangle formula is given by 1/2 × PQ × QR = x2/2 square units.

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What customary unit would you use to estimate? A car is about 15 _____ long. inches meters yards feet

Answers

Answer:

feet

Step-by-step explanation:

Concrete Works manufactures and sells cement trucks. For the previous year, their taxable income was $6,775,989.00. They have
to pay a federal tax rate of 35%, a state tax rate of 8%, and a local tax rate of 2%. As part of their loan package for the business, the
company has to pay $3,200,000.00 after the taxes are paid each year to go against the principal amount of the loan. The profit after
taxes and principal reduction can be determined by the equation
p() = 0.586041 - 3,200,000,
where x is their taxable income. How much profit does the company have after paying taxes and reducing the principal on the loan?

Answers

You have the right equation.

p(x) = 0.586041x - 3,200,000

3200000 of course represents the deduction from the loan

0.586041 - this number represents the amount of money left after taxes (58.6041% of the total is left)

We get this by taking into account all the taxes on top of another...

35% federal tax = 65% left

35% federal tax and 8% state tax = 65% x 92% left

35% federal tax and 8% state tax and 2% local tax = 65% x 92% x 98% left = 58.6041%

To get the profit plug in the given taxable income for x.

p(6775989) = 0.586041(6775989) - 3,200,000 = $771,007.37 approx.

answer: $771,007.37 approx.

Whats 33.33% into a decimal number

Answers

Answer:

0.3333

Step-by-step explanation:

To convert 33.33% to decimal, simply divide 33.33 by 100.

Answer: 0.3333

Step-by-step explanation:

33.33% = 33.33 / 100 = 0.3333.

Since 100 has 2 zeros, you count the decimal point in 33.33 forward twice.

3x^2(2x^2+3)=0
please help quick

Answers

Answer:

x=0 and x=sqrt(3/2)i

Step-by-step explanation:

3x^2(2x^2+3)=0

Make into two equations due to Zero Product Property:

3x^2=0 and 2x^2+3=0

x^2=0             2x^2=-3

x=0                  x^2=-3/2

                         x=sqrt(3/2)i

What is the value of y in the equation,
y = -3x + 4, if x = 3?

Answers

Answer:y= -5

Step-by-step explanation:

-3(3)+4= -5

-3(3)= -9

-9 + 4= -5

Answer:

-5

Step-by-step explanation:

y = -3x + 4

If x = 3

Plug the value into the expression

We have

y = -3(3) + 4

= -9 + 4

= -5

how so you slove 4^2x-1 = 8^x+2 ?

Answers

Answer:

x = [tex]\frac{ln(16)}{ln(2)}[/tex]

Step-by-step explanation:

[tex]4^{2x-1} =8^{x+2}[/tex]

ln both sides like you would add the same number to both sides to keep the equation equivalent

[tex]ln4^{2x-1} = ln 8^{x+2}[/tex]

using log rules, exponents can be brought down as a constant multiplying ln

[tex](2x-1)ln(4) =(x+2)ln(8)[/tex]

use distributive property to remove parentheses

2xln(4) - ln(4) = xln(8) + 2ln(8)

isolate x

2xln(4) - xln(8) = 2ln(8) + ln(4)

rewrite the logs using log rules: ln(x) - ln(y) = ln([tex]\frac{x}{y}[/tex]) and the exponent rule stated above

xln([tex]4^{2}[/tex])-xln(8) = ln([tex]\frac{8^{2} }{4}[/tex])

factor out x

x(ln[tex]4^{2}[/tex]-ln8) = ln([tex]\frac{8^{2} }{4}[/tex])

again use log rules:  ln(x) - ln(y) = ln([tex]\frac{x}{y}[/tex])

x* [tex]ln(\frac{4^{2} }{8}[/tex][tex])[/tex]=  ln([tex]\frac{8^{2} }{4}[/tex])

now simplify the stuff inside the ln parentheses

x*ln(2) = ln(16)

x = [tex]\frac{ln(16)}{ln(2)}[/tex]

35 more than 5 times a number, w, is -10, what is the number w?

Answers

Answer: w= -9

Step-by-step explanation:

Set up an equation, 5 times a number is 5w, and 35 more, means plus 35. All of this is equal to -10, so the equation will be:

5w+35=-10

Subtract 35 from both sides

5w=-45

Divide by 5 on both sides

w= -9

Hope this helped!

Bobby catches 8 passes in 3 football games. At this rate, how many passes does he
catch in 15 games?​

Answers

Answer:

40 passes

Step-by-step explanation:

we know that

Bobby catches 8 passes in 3 football games

so

using proportion

Find out how many passes does he  catch in 15 games

[tex]\frac{8}{3}=\frac{x}{15}\\\\x=8(15)/3\\\\x=40\ passes[/tex]

Answer: 40 passes

Step-by-step explanation:

Hi, to answer this we have to use proportions:

Proportion = Passes catched/ football games

Bobby catches 8 passes in 3 football games: 8/3

For 15 games: x/15

8 /3 = x/15

Solving for x

(8/3)15 =x

40 = x

He catches 40 passes in 15 games.

Feel free to ask for more if needed or if you did not understand something.

The distance of one lap around a school track is 1/4 miles. Karen walks 6 laps around the track and realizes it is in
poor condition. She complains and asks to see the manager of the track.
How many more laps must Karen walk to reach a total distance of 5.5 miles?
laps​

Answers

Answer:

16

Step-by-step explanation:

because 5.5 is 22 laps and you do 22-6=16.

Apples weigh 12 ounces each.Ronald bought 4 apples.How many pounds of apples did he buy?

Answers

Answer:

48 pounds

Explanation:

Multiplied 12 times 4 which gave me the answer.

log 32 ​ (16)= 5 4 ​ exponential form

Answers

Answer: _(32)(16)=(4)/(5)

Step-by-step explanation:

-7=z/-6 solve for z pls help it 7th grade math and it’s on khan ;cc

Answers

Answer:

42

Step-by-step explanation:

I think it's 42 because 42/-6 is -7

Answer:

z = 42

Step-by-step explanation:

Given -7 = z/-6

Cross multiply

-7 x -6 = z

Negative times negative gives you positive.

42 = z

z = 42

which ordered pair is a a solution of the equation ?

y= 3x+5

A. only (2,11)
B. only (3,13)
C. both (2,11) and (3,13)
D.neither

Answers

Answer:

A

Step-by-step explanation:

when you plug in 2,11

11 = 3*2 +5 that is correct

13 = 3*3 +5 that is not correct

only 2,11 works

Answer:

A. only (2,11)

Step-by-step explanation:

Fill in the blank: in the table of exponential function,————————- by the same amount each time to get to the next number

Answers

Answer: multiplies

Explain: this is because exponentially is multiplication.

The table of exponential multiplies by the same amount each time to get to the next number.

What is an exponential function?

In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.

In another meaning, an exponential function is that function above which a variable x has imposed.

For example [tex]3^{x}[/tex] , [tex]7^{x}[/tex] like that.

Let a general exponential function [tex]a^{x}[/tex] where a is constant.

Let x = 1,2,3,4,5....

At x = 1 ⇒ a¹ = a

At x = 2 ⇒ a² = a × a = previous numebr ×  (a)

At x = 3 ⇒ a³ = a² × a = previous number × (a)

So,

It is clear that in exponential function each term multiplies the same amount each time to get to the next number.

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You are writing the inequality for age. At an amusement park, children ages 3 and under are free. Write an inequality.

Answers

Answer:

Step-by-step explanation:

So you would do x as other ages, 3 as well obviously 3.

x < 3

THE < WILL HAVE A LINE UNDER IT!

The line stands for less than or EQUAL to. In this case, you have to be 3 or younger. Do not forget the line under the <. I am unable to type it!

Final answer:

The question is about writing an inequality to represent the ages of children who can enter an amusement park for free. The correct mathematical expression according to the given scenario is 'age ≤ 3'.

Explanation:

The subject of the question deals with the practical application of inequalities in a real-world context. In this case, the inequality would represent the ages at which children could enter an amusement park for free. According to the amusement park policy, children ages 3 and under are free. In mathematical terms, this can be expressed as 'age ≤ 3'. The symbol '≤' represents 'less than or equal to', indicating that the age could be any number less than or equal to 3.

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