Simplify the ratio 68:28​

Answer:

(C)7b

Step-by-step explanation:

Given the expression:

[tex]\dfrac{7}{3}ab-\dfrac{7}{6}b[/tex]

Let us factor the expression:

[tex]=\dfrac{7b}{3}\left(a-\dfrac{1}{2}\right)[/tex]

Since we need the greatest common factor, we can rewrite the expression as:

[tex]7b\left(\dfrac{1}{3}a-\dfrac{1}{6}\right)[/tex]

Therefore, the greatest common factor is 7b.

The correct option is C.

Answer: C. 7 b

Step-by-step explanation:

Got it right on edge

Answer:

Let's find the explicit rule for this arithmetic sequence. We have:

aₙ = a₁ + (n - 1) * d

   = 18 + 12 * (n - 1)

   = 12n + 6.

The 73rd term is 12 (73) + 6 = 882.

Answer:

[tex]=-3[/tex]

Step-by-step explanation:

[tex]\left(-3\right)^3+\left(-4\right)^2-\left(-2\right)^3\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:exponents}\:\left(-3\right)^3\::\quad -27\\\left(-3\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\left(-3\right)^3=-3^3=-27\\=-27+\left(-4\right)^2-\left(-2\right)^3\\\mathrm{Calculate\:exponents}\:\left(-4\right)^2\::\quad 16\\\left(-4\right)^2[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}\\\left(-4\right)^2=4^2=16\\=-27+16-\left(-2\right)^3\\\mathrm{Calculate\:exponents}\:\left(-2\right)^3\::\quad -8\\\left(-2\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\left(-2\right)^3=-2^3=-8\\=-27+16-\left(-8\right)\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-27+16-\left(-8\right)\::\quad -3\\-27+16-\left(-8\right)[/tex]

[tex]-27+16=-11\\=-11-\left(-8\right)\\\mathrm{Apply\:rule\:}-\left(-a\right)\:=\:+a\\-\left(-8\right)=+8\\=-11+8\\-11+8=-3\\=-3[/tex]

Answer:

The overview of the given situation is described in the explanation segment below.

Step-by-step explanation:

As we know that the determination's coefficient will be:

⇒  [tex]R^2[/tex]

(Percent of variance in the answer variable described by the explanatory variable).

Now the correlation among the two variables will be:

As we know,

⇒  [tex]r^2=R^2[/tex]

⇒  [tex]r^2=0.79[/tex]

⇒  [tex]r=\sqrt{0.79}[/tex]

⇒  [tex]r=0.889[/tex]

The percentage value of 79% given in the context is the percentage of variation in the prevalence of Hantavirus which can be explained by precipitation. Hence, the coefficient of determination, R².

Hence, the metric shows that 79% of changes in prevalence is caused by the regression line, hence the R² value.

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Answer:

$14

Step-by-step explanation:

35% is the same as multiplying by .35

40 * .35 = 14

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

78 + 47 = 125

125/25 = 5

Answer:

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Step-by-step explanation:

9x^6 – 16 y^6

Rewriting as

(3x^3) ^2 - ( 4y^3) ^2

This is the difference of squares a^2 - b^2 = (a-b)(a+b)

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Answer:

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

The range of the graph is  -∞ ∠ y ∠ 5, which is option a.

The range of a function is the set of numbers that the function can produce. In other words, it is the set of y-values that you get when you plug all of the possible x-values into the function.

In the given graph

Red line shows the value of y when we put the value of x.

and the line goes down towards negative y upto infinity and on another side at constant value 5 when put x any value.

that means y lies between negative infinity ( -∞ ) and 5

Hence, The range of the graph is  -∞ ∠ y ∠ 5.

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Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

So we use a technique called Ratios. If the ratio of r:m = 4:160. We can work out how we can get r if m is equal to 540. First lets make the ratio for it -

r:540. Now we need to get the number 540 and divide it by 160, this will tell us how much we need to multiply by. 540/160 = 4. So now we know that our multiplier is 4. Then we need to multiply 4 by 4 . That gives us 16 therefore the answer to this question is 16.

Brainliest?

This answer took a long time to write, so I hope you appreciate it.

Answer:

A. $1.75 + $0.25x ≤ $15

Step-by-step explanation:

This is because if Eddie has 15 dollars, he can only use 15 dollars or less. So in this case, the inequality would have to be less than or equal to 15 dollars.  

Eddie travel $1.75 + $0.25x ≤ $15 miles when he has $15 to spend.

Option A is the correct option.

Here,

Amount of flat fee of taxi cab = $1.75

Amount of charge for each miles = $0.25

The amount Eddie has to spent = $15

We have to find inequality relationship.

What is inequality?

The relationship between two values that are not equal is defined by inequalities.

Now,

Amount of flat fee of taxi cab = $1.75

Amount of charge for each miles = $0.25

The amount Eddie has to spent = $15

Let Eddie travel x miles.

Therefore, the total charge of taxi cab = $1.75 + 0.25x

And this amount should not exceed the $15 as it is the only amount Eddie has.

Hence the inequality relationship be,

$1.75 + 0.25x ≤ $15.

Option A is the correct option.

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Answer:

2200[tex]\pi[/tex] cm

Step-by-step explanation:

V= [tex]\pi[/tex]r²h

V= [tex]\pi[/tex](10)²22. Since it is filled 3 cm from the top, you can subtract 3 from the height

V= [tex]\pi[/tex](100)(22)

V= 2200[tex]\pi[/tex] cm

Answer:

9.54 cm

Step-by-step explanation:

In triangle ABD, AD is the hypotenuse (longest side)

We know that according to Pythagoras theorem,

a^2+b^2=c^2

In the figure, c (10cm) and a (5cm) is given. So,

(5)^2 + b^2 = 100

25+b^2 = 100

b^2 = 75

So b is √75 = 8.66

Therefore BD is 8.66 cm

Now even BDC is a triangle

In it, the hypotenuse is missing but we know the value of other sides

so, in Pythagorean theorem,

a=4 (CD)

b=8.66 (BD)

c=x

Therefore,

(4)^2 + (8.66)^2 = x^2

16+74.99= x^2

x^2 = 90.99

x= 9.54 cm

Hope this helps!

Answer:

(-35) * (100 - 1)

Step-by-step explanation:

She was able to find the value of (-35) * 99 without using the missing 9 button on her calculator.

The easiest way to do this is to replace 99 with another set of numbers that has the same value as 99.

(100 - 1) has the same value as 99. So, Teena can replace 99 with (100 - 1):

(-35) * (100 - 1)

It will yield the desired result.

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...

Answer:

x = -18

Step-by-step explanation:

5 ( x + 9 ) = -45

→ Expand out the brackets to simplify the equation

5x + 45 = -45

→ Minus 45 from both sides to isolate 5x

5x = - 90

→ Divide both sides by 5 to isolate x

x = -18

Answer:

x= -18

Step-by-step explanation:

5*(x+9)=-45

:5            :5

x+9=-9

-9       -9

x= -9-9

x= -18

Answer:

r = 57/19 = 3

Step-by-step explanation:

Answer:

120%

Step-by-step explanation:

Because the answer is 1 1/5 that converted to a percentage(%) is 120%.  

9.53% people between the age 30 to 44 rated the movie as excellent.

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.

According to the given question.

We have a data of people of different ages who rated the movie as excellent, Average, and poor.

Now,

Total number of people between the age 30 to 44 who rated the movie excellent is 33

And, the total number number of people who watched the movie is 346.

Therefore, the percentage of people who are in between 30 to 44 and  rated the movie as excellent is given by

[tex]percentage = \frac{total\ number\ of\ people\ between\ 30\ to\ 44\ and\ rated\ movie\ as\ excellent\ }{total\ number\ of\ people\ who\ watched\ the\ movie}[/tex]

[tex]\implies percentage = \frac{33}{346} =9.53\%[/tex]

Hence, 9.53% people between the age 30 to 44 rated the movie as excellent.

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Answer:

D

Step-by-step explanation:

Two lines are perpendicular when the product of their slopes = - 1

line 1: y = 3x + 4

(3 , 0)  ; (-3,2)

[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-0}{-3-3}\\\\=\frac{2}{-6}\\\\=\frac{-1}{3}[/tex]

Slope of line 1 = 3

Slope of line 2 = -1/3

3* -1/3 = -1

Answer:

im sorry but you just need a chill pill

Step-by-step explanation:

Answer:

Los triangulos son iguales porque tienen dos lados y el angulo comprendido  respectivamente iguales, por tanto

[tex]3x = x+8\\2x=8\\x=4\\[/tex]

Answer:

The theme in a story is its underlying message, or 'big idea".

Answer: its underlying message, or 'big idea. ' In other words, what critical belief about life is the author trying to convey in the writing.

Step-by-step explanation: what the author is trying to tell you.

Answer:

=√41

Steps:

D=√(5-0)²+(4-0)² =  √25+16 = √41

The answer for this question is =√41

1: D=√(5-0)²

2: +(4-0)²

3:  =  √25+16

4:  = √41

Please mark brainliest

Hope this helps.

Answer:

a) 7(8)+9 (12)

b)7x+45

c )10 hours

Step-by-step explanation:

Hi, to answer this question we have to write an expression

The amount earned by Jason must be equal to the product of the amount he earns per hour during the week (7) and the hours worked during the week (x) ; plus the product of the amount he earns per hour during the weekend ( 9) and the hours worked during the weekend (y):

7x+ 9y

a) substitute x=8 and y=12

7 (8)+ 9 (12)

b) substitute y =5

7 x +9(5) =

7x+ 45 =

c)

Substitute y=5 and the expression must be equal to the amount he needs to buy sports equipment (115):

7x+9 (5)=115

Solving for x:

7x + 45 =115

7x = 115-45

7x = 70

x =70/7

x =10 hours

Corrected Question

Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probability she catches the bus from the shops is 0.7. Show the probability that Sue walks at one way is 0.72

Answer:

[tex]P(A \cup B) =0.72[/tex] (Proved)

Step-by-step explanation:

Sue travels by bus or walks when she visits the shops.

Let the event that she catches the bus to the shop=A

Let the event that she catches the bus from the shop=B

P(A)=0.4

P(B)=0.7

Both A and B are independent events.

Therefore,Probability that she catches the bus to and from the shop:

P(A∩B) = 0.4 X 0.7= 0.28

Probability Sue walks at least one way [tex]P(A \cup B) = 1 - P(A \cap B)[/tex]

[tex]= 1 - 0.28\\= 0.72[/tex]

Hence, the probability that Sue walks at least one way is 0.72.

Answer:

AA similarity postulate

Step-by-step explanation:

B and D are corresponding angles who both have measures of 50 degrees, which makes one pair of angles for this postulate. The other pair are ACB and ECD, because they are vertical angles and therefore congruent. Since when two angles in two triangles are the same, the third must be the same as well, these triangles must be similar. Hope this helps!

Answer:

y=2x-10

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (3,-4), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=3 and y1=-4.

Also, let's call the second point you gave, (6,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=2.

Now, just plug the numbers into the formula for m above, like this:

m=

2 - -4

6 - 3

or...

m=

6

3

or...

m=2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

Answer:

Undefined when x = -9

Step-by-step explanation:

(2x-15)/ (x+9)

This would be undefined when the denominator is 0

x+9 =0

x = -9

Answer:

2/6 (33.33%)

Step-by-step explanation:

Answer:

The answer would be 1/3

Step-by-step explanation:

There are 6 faces in a dice and 2 of which are less than three. So the answer would 2/6 which is simplified as 1/3.