What must be added to each term of the ratio 2:3 so that it may become equal to 4:7

Answer:

A. is the correct answer

Step-by-step explanation:

the answer is 27

Answer:

A. 25

Step-by-step explanation:

f(x)= 8x - 7

f(4)= 8*4 - 7= 25

f(4)= 25

Answer:

(-1, -3)

Step-by-step explanation:

The given equations are:

[tex]-4x-7=y ...... (1)[/tex]

and

[tex]x^2 - 2x - 6 = y ....... (2)[/tex]

Equating (1) and (2):

[tex]-4x -7 =x^{2}-2x-6\\\Rightarrow x^{2}-2x-6+4x+7=0\\\Rightarrow x^{2}+2x+1=0\\\Rightarrow (x+1)^2=0\\\Rightarrow x = -1[/tex]

The two values of x are repeating in nature i.e. x = -1

So, value of [tex]x[/tex] is -1.

Putting value of [tex]x[/tex] in equation (1):

[tex]-4 \times (-1)-7=y \\\Rightarrow y=-3[/tex]

The solution is represented as ([tex]x,y[/tex])

So, the solutions are :

(-1, -3)

Answer:

2

Step-by-step explanation:

give brainliest

Answer:

The initial speed is approximately 104.3 km

Step-by-step explanation:

Let Distance = 240 km

Time = ?

Speed =

Since

Speed = Distance/Time

Distance = Speed × Time

When arrival is late:

240 = S×T

When arrival is on time:

240 = (S+5)×T2

But 40minutes = 2/3 hours

So,

T2 = T - 2/3

240 = (S+5)×(T - 2/3)

240 = ST - 2S/3 + 5T - 10/3

ST - 2S/3 + 5T = 240 + 10/3

S(T - 2/3) + 5T = 730/3

S(T - 2/3) = 730/3 - 5T

S = (730/3 - 5T)/(T - 2/3)

But 240 = ST

S = 240/T

240/T = (730/3 - 5T)/(T - 2/3)

(T - 2/3)/T = (730/3 - 5T)/240

1 - 2/3T = 730/720 - 5T/240

1 + 73/72 = (2/3 + 5/24)T

145/72 = (7/8)T

T = 145/72 × 8/7

= 1160/504

T = 145/63

S = 240/S

= 240×63/145

= 3024/29

≈ 104.3km

Answer:

see below

Step-by-step explanation:

$36/4oz  = $9 per oz

24/3oz = $ 8 per oz

$20/2oz  = # 10 per oz

Answer:

A ratio is when 2 values that come from related things are compared in the form of x:y

Answer:

comparison between things

Step-by-step explanation:

for example:

16 girls and 8 boys in a class room

the ratio would be 2:1 (girls:boys)

Answer:

[tex]p = 43 \: \: \: degrees[/tex]

Answer A is correct

Step-by-step explanation:

[tex]90 + p = 133[/tex]

the sum of the exterior angles in a triangle is equal to the sum of opposite interior angles.

[tex]p = 133 - 90 \\ p =4 3 \: \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

$27.83

Step-by-step explanation:

If Darrien spends 26.50, multiply that by 0.05 (26.50×0.05) which is 1.325 which rounds to 1.33. $1.33 is the amount of tax he has to add. For the full price you would do 26.50+1.33 to get 27.83.

Answer:

The answer is 27.83

Step-by-step explanation:

Thank the person above me.

Answer:

b

Step-by-step explanation:

given

6x² + 17x + 5

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × 5 = 30 and sum = 17

The factors are 2 and 15

Use these factors to split the x- term

6x² + 2x + 15x + 5 ( factor the first/second and third/fourth terms )

= 2x(3x + 1) + 5(3x + 1) ← factor out (3x + 1) from each term

= (3x + 1)(2x + 5) → b

The two steps are [tex]3x(2x+5)+1(2x+5)[/tex] and [tex](3x+1)(2x+5)[/tex]. So, options b and d are correct.

Important information:

Splitting the middle term, we get

[tex]6x^2+15x+2x+5[/tex]

After grouping, we get

[tex](6x^2+15x)+(2x+5)[/tex]

Taking out common factors, we get

[tex]3x(2x+5)+1(2x+5)[/tex]

Now, it can be written as:

[tex](3x+1)(2x+5)[/tex]

Therefore, the correct options are b and d.

Find out more about 'Factoring' here:

https://brainly.com/question/2416165

Answer: £2598.80

Step-by-step explanation:

Let those under 16 be x

Those over 16 be y

49 + y = 155

y = 155-49

y = 106 = over 16

for over 16, y * 18.60

= 106 * 18.60 = 1971.60

For under 16, x * 12.80

= 49 * 12.80 = 627.20

Answer: 10.8

Step-by-step explanation:

We can use the Pythagorean Theorem to solve this.

a^2 + b^2 = c^2

6^2 = 36

9^2 = 81

36 + 81 = 117

square root of 117 is 10.8

Answer:

first number is 5

second number is 7

Step-by-step explanation:

let x and y represent the first and second number

5x - 2y = 11 ........ equation 1

3x - 2y = 11.......... equation 2

so by elimination, equation 1 minus equation 2

5x - 3x - 2y - 2y = 11 - 1

2x = 10

x = 5

therefore the first number is 5

put x = 5 into equation 1

5x - 2y = 11

5(5) - 2y = 11

25 - 2y = 11

-2y = 11 - 25

-2y = - 14

y = 7

therefore the second number is 7

hope it helps .

Answer:

[tex]4y+ y"x^2-4y'x = 0[/tex]

    ↓

[tex]F(x, y, y', y'') = 0[/tex]

Step-by-step explanation:

From the information given:

[tex]y = c_1x + c_2x^4 \\ \\ y^1'= c_1 + 4c_2x^3 \\ \\ c_1 =y' - 4c_2x^3 \\ \\[/tex]

So;

[tex]y = y'x -4c_2x^4+c_2x^4 \\ \\ y - y'x - 3c_2x^4 \\ \\ y'= y"x+y'- 12c_2x^3 \\ \\ c_2= \dfrac{y"x}{12x^3} \\ \\ c_2= \dfrac{y"}{12x^2}[/tex]

∴

[tex]y = y'x- \dfrac{3x^4*y'' }{12x^2} \\ \\ \\ y = y'x - \dfrac{y" x^2}{4} \\ \\ \\ 4y+ y"x^2-4y'x = 0[/tex]

  ↓

[tex]F(x, y, y', y'') = 0[/tex]

Answer:

The 2 figures have the same shape and the corresponding points are "lined up" so I would say that this is a translation.

Answer:

translation

see below

Step-by-step explanation:

translation because it didn't change direction of the figure

translation is sliding down or up rotation is moving in circle

Answer: 30%

Step-by-step explanation:

1/5th of students = 1/5 x 40 = 8

If 4 more students join, they will be (8+4) 12 students

Percentage will be 12/40 x 100 = 30%

Answer:

The answer is 68 degrees Fahrenheit.

Step-by-step explanation:

The equation to convert Celsius to Fahrenheit is (C × 9/5) + 32.

So, first we calculate Celsius times 9/5.  20×9/5 = 36.

Then, we add 36 and 32 together.  36+32= 68

So, 68 is your answer.

Step-by-step explanation:

Probability

Probability is a measure of the likelihood that an event will happen.

When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".

Probability =

Step-by-step explanation:

A polygon is a shape with at least three straight lines and angles

Answer:

m = [tex]\frac{f+1}{7}[/tex]

Step-by-step explanation:

f = 4m + 3m -1

f = 7m - 1

Adding 1 to both sides

f+1 = 7m

Dividing both sides by 7

m = [tex]\frac{f+1}{7}[/tex]

Answer:

m= (f+3)/(f-4)

Step-by-step explanation:

It is not clear from the question, but I assume it is:

so the solution is:

Answer:

[tex] \boxed{112} [/tex]

Step-by-step explanation:

[tex]Evaluate - 4v {c}^{2} \: where \: v= - 7 \: and \: c= - 2 : \\ = > - 4v {c}^{2} \\ = > - 4( - 7) {( - 2)}^{2} \\ \\ {( - 2)}^{2} = 4: \\ = > - 4( - 7)4 \\ \\ - 4( - 7) = 28: \\ = > 28 \times 4 = 112[/tex]

Answer:

y = x+1

Step-by-step explanation:

draw a table / write down ratios of the values of x and y. Then, you will notice the difference/ similarity

Answer:

y = x + 1

Step-by-step explanation:

equation of the line :

y = my + p  ; m is the slope and p is the y-intercept.

The line cross the —axis at the point (0,1) then

p = 1

the line passes through (0,1) and (1,2) then

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

conclusion:

y = x + 1

Answer:

10

Step-by-step explanation:

10x^2y^-2

10(-1)^2(-2)^2=10

Answer:

The number is 16.

Step-by-step explanation:

3x=32+x

2x=32

x=16

A number that when tripled, gives the same result as when 32 is added to it is 16.

In this exercise, you're required to solve for an unknown number, that when tripled has the same value as when 32 is added to it.

Translating the word problem into an algebraic expression, we have;

Tripling the number, we have:

[tex]3x[/tex]    ....equation 1

Adding 32 to the number, we have:

[tex]32 + x[/tex]   ....equation 2

Equating the two equations, we have:

[tex]3x = 32 + x\\\\3x - x = 32\\\\2x = 32\\\\x = \frac{32}{2}[/tex]

x = 16

Find more information: https://brainly.com/question/4728821

Answer:

x = [tex]\frac{t(a+p)}{4}[/tex]

Step-by-step explanation:

Given

a = [tex]\frac{4x}{t}[/tex] - p ( isolate term in x by adding p to both sides )

a + p = [tex]\frac{4x}{t}[/tex] ( multiply both sides by t )

t(a + p) = 4x ( divide both sides by 4 )

[tex]\frac{t(a+p)}{4}[/tex] = x

Answer:

Its supposed to be x = s

like its in the picture

So we divide both sides by 4

we get t+2 / 4

That means the answer is C

Answer:

the correct answer for this question is c. s= t+2/4

source. edge.

Answer:

D

Step-by-step explanation:

[tex]f(x)=3x+5 \\\\g(x)=x^2 \\\\(f-g)(x)=(3x+5)-(x^2)=-x^2+3x+5[/tex]

Therefore, the correct answer is choice D. Hope this helps!

Answer:

the answer is 96 square feet

you could use

4×4=16

then times how many rectangle you have which is 6

Answer: - 2.5

Step-by-step explanation:

Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.

From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.

(-3 + - 2) / 2 = - 5/2 = - 2.5

Answer:

52

Step-by-step explanation:

There are a total of 380+240+110 people. (730)

0.52 are in stage 3.

0.33 in stage 2.

0.15 in stage 1.

52 people from stage 3 should be in the group.