Ann and Betty shared a sum of money in the ratio 2:3 respectively. Ann Received $120. What was Betty’s share?

The number needed to complete the square is 9/4

Given the expression x^2 + 3x + ?

Using the completing the square;

Step 2: Get the coefficient of x

The coefficient of x is 3

Step 3: Get the half of coefficient of x

Hale of the coefficient  = 3/2

Step 4: Take the square of the result

Square of the result  = ()3/2)^2 = 9/4

Hence the number needed to complete the square is 9/4

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Answer:

12x

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

3 rows out of 10 are shaded green. 3/10 is 30%

Explanation:

Ignore the horizontal lines. Think of this figure as 10 skinny rectangles line up side by side. Three of them are shaded, so we have 3/10 = 0.30 = 30% of it shaded.

If you wanted to include the horizontal lines, then we have 10*3 = 30 green little squares out of 10*10 = 100 total squares. This leads to the same answer 30/100 = 0.30 = 30%

Answer:

Step-by-step explanation:

Domain is all the x's and range is all the y's. There's no reason why you couldn't pop any x into the given equation and calculate it and get a number out. So literally ANY x can be used and found on this graph. So the domain is all real numbers, one of the first two answers is going to be the right one. Now, the range is all the y's on the graph. The problem says that the parabola opens down, which means it has a highest point. There is no graph above that point. That's the point (-1, 16). So 16 is the highest y-value you can find on the graph. All the rest of the y's are smaller. The range is all the y's such that the y's are 16 and smaller...in math that's written {y | y <= 16} So the second answer is the right one.

The domain is all real numbers. The range is {y | y ≤ 16}

The attached graph completes the question

Calculating the domain

The function is given as:

f(x) = -x² - 2x - 15

The above function is a parabola or a quadratic function.

Quadratic functions have their domain to be the set of all real numbers.

Hence, the domain is all real numbers.

Calculating the range

On the graph, we have the maximum value of y to be:

Maximum = 16

Because the parabola opens down, the range would be:

y ≤ 16

Hence, the range is {y | y ≤ 16}

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Answer:

????????????????

Step-by-step explanation:

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Answer:  [tex]3 \times 10^{13}[/tex]

Explanation:

Highlight the first digit on the very left (2). The 7 right next to it means we'll round that 2 up to a 3. Every other digit becomes a zero.

The number 27,895,168,401,112 rounds to 30,000,000,000,000 which is the number 30 trillion.

It converts to the scientific notation [tex]3 \times 10^{13}[/tex] because we basically start with 3.0 and move the decimal point 13 spots to the right to arrive at 30 trillion as shown above.

Answer:

Step-by-step explanation:

The speed of the plane was 291.13mph.

Speed is distance travelled per unit time. It is scalar quantity

Given

The difference in distances was 600 miles; the difference in speeds was 190mph. That means the time was 600/190 = 3.16 hours.

Since the plane flew 920 miles in that time, its speed was 920/3.16 = 291.13mph.

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Answer:

-80

Step-by-step explanation:

you pass the 25 to the right side adding and the the 1/5 multiplying by -5 to the right side

Answer:3.55

Step-by-step explanation:

you add the time dude

Answer:

(0,-4)

Step-by-step explanation:

3(0) - (-4) = 4

0 + 4 = 4

a. The explicit formula for the cost of the car in the nth year is $26,350(0.83^n) .

b. The car's value  after 8 years is $5,934.79.

c. The decrease in the value of the car is  $11,283.41.

The formula that can be used to determine the value of the car with a decline in value is:

FV = P (1 - r)^n

FV = Future value of the car  

P = cost of the car

R =rate of deprecation  

N = number of years

Cost of the car after n years = $26,350 x (1 - 0.17)^n

$26,350(0.83^n)

Car's value  after 8 years = $26,350 x (1 - 0.17)^8

$26,350(0.83^8) = $5,934.79

Decrease in the value of the car after 3 years= cost of the car - value of the car in 3 years

Value of the car in 3 years = $26,350 x (1 - 0.17)^3 = $15,066.59

$26,350 - $15,066.59 = $11,283.41

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Answer:

which of the following what??

Step-by-step explanation:

..

Answer:

1/25

Step-by-step explanation:

Convert to a fraction by placing the expression over  100 .

Answer : 4/100 and / or 1/25

Step-by-step explanation:

when converting percentages to fractions its always out of 100

for example, if the percentage is 4% then its 4/100

Answer:

Add up all the sides of the quadrilateral and the answer is the perimeter

Step-by-step explanation:

[tex]{ \huge \mathfrak \color {pink}{ \tt{answer}}}[/tex]

[tex] \large \color{cyan}{ \tt{x = 12}}[/tex]

Step-by-step explanation:

[tex] \color {cyan}{ \tt{9 + \frac{x}{6 = 11}}} [/tex]

[tex]{ \tt{54 + x = 66}}[/tex]

[tex]{ \tt{x = 66 - 54}}[/tex]

[tex] \huge \color{magenta}{ \tt{ = \: \: x = 12}}[/tex]

[tex] \large \color{brown}{ \tt{hope \: \: it \: \: helps}}[/tex]

Answer:

1410

Step-by-step explanation:

Selling Price= 39100

Buying Price= 37690

Profit= Selling Price - Buying price

=39100-37690

=1410

His  profit: ₹39,100 - ₹37,690 = ₹1,410

=> [tex]\frac{1,410}{37.690}[/tex] × 100% ≈ 3.75% (than the original price)

His profit is 3.75% than the original price

ok done. Thank to me :>

Answer:

Zeroes - x=0 and x=4

Football hits the ground at x=4 (4 seconds)

Step-by-step explanation:

1) Plug equation in graphing calculator and graph function.

2) Find zeroes

3) The second zero is when the football hits the ground

Step-by-step explanation:

2. Commutative Property of Multiplication

3. Associative Property of Multiplication

4/5/6 Distrubtitive Property.

Answer:

-8

Step-by-step explanation:

ky^2 = -5y + 7y^2 +9y - 15y^2 -4y

ky^2 = -8 y^2

k = -8

Answer:

  8

Step-by-step explanation:

We believe the problem here requires that all of the coefficients in the expression on the left be zero. That is, the equation will be true for any value of y.

We can work this a couple of ways. One of them is to simplify the given expression. Let 'a' represent our unknown coefficient.

  [tex]-ay^2-[-5y-y(-7y-9)]-[-y(15y+4)]=0\\\\-ay^2-[-5y+7y^2+9y]+[15y^2+4y]=0\\\\-ay^2-[7y^2+4y]+15y^2+4y=0\\\\(-a-7+15)y^2+(-4+4)y=0\\\\(-a+8)y^2=0[/tex]

In order for this to be zero for all values of y, we must have (-a+8) = 0.

  a = 8

The missing coefficient is 8.

_____

Since this expression must be true for every value of y, another way to work this is to choose a value of y. This will tell us what the coefficient must be for the expression to be zero. Let y = 1.

  -a·1² -[-5·1 -1(-7·1 -9)] -[-1(15·1 +4)] = 0

  -a -[-5-(-16)] -[-19] = 0

  -a -11 +19 = 0

  -a +8 = 0

  a = 8 . . . . . . same as above

_____

Additional comment

The many minus signs are intended to make sure you're comfortable with arithmetic with negative coefficients and negative numbers. The key, of course, is that -(-a) = +a. The opposite of the opposite is the original.

We have assumed that the dash at the beginning of the line (before the answer box) is intended to be a minus sign. If that is not the case, then your answer will be -8, instead of 8.

Answer:

Outlier, clusters, and gap in your value.

Step-by-step explanation:

An OUTLIER is a data point that falls away from the rest of the points in a scatter plot. It doesn't seem to fit with the rest of the points. DATA CLUSTERS are groups of points that are all graphed close together. A GAP IN VALUE occurs when there are points clustered at two different spots on a scatter plot.

Answer:

f(-5) = 19

Step-by-step explanation:

f(x) = -3x + 4

f(-5) = -3(-5) + 4

f(-5) = 15 + 4

f(-5) = 19

Answer: The answer is 19

Step-by-step explanation: We know that the X value is -5 so we substitute that in for -3x to get (-3 x -5) We end up geting 15, next we add 4 and get 19. Basically the answer is 19. Have a great day.

Forgot to add the F(-5) sorry.

Step-by-step explanation:

Slope-intercept form: y = mx + b

Solve for [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]y2-y1 = \frac{11}{12} -\frac{19}{20}[/tex]

[tex]x2-x1 = \frac{1}{3} -\frac{2}{5}[/tex]

To solve for the fractions you need a common denominator.

[tex]y2-y1 = \frac{11*20}{12*20} -\frac{19*12}{20*12} = \frac{220}{240} -\frac{228}{240}=\frac{-8}{240} = \frac{-1}{30}[/tex]

[tex]x2-x1 = \frac{1*5}{3*5} -\frac{2*3}{5*3} = \frac{5}{15} -\frac{6}{15}=\frac{-1}{15}[/tex]

To divide fractions you keep (the first equation), change (the division sign to multiplication), and flip (the second fraction).

[tex]\frac{y2-y1}{x2-x1}=\frac{\frac{-1}{30} }{\frac{-1}{15} } = \frac{-1}{30}*\frac{15}{-1} =\frac{-15}{-30}=\frac{1}{2}[/tex]

[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{2}[/tex])*([tex]\frac{1}{3}[/tex])+b

[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{6}[/tex])+b

[tex]\frac{11}{12}-\frac{1}{6}[/tex] = b

[tex]\frac{11*6}{12*6}-\frac{1*12}{6*12}=\frac{66}{72} -\frac{12}{72} =\frac{54}{72}=.75[/tex]

b = .75

y = [tex]\frac{1}{2}+.75[/tex]

Answer:

11) 7 ( Answer A)

12) (-2) ( Answer D)

Step-by-step explanation:

You can use y = m x + c to answer these questions.

In the equation y = m x + c,

m = slope

c = y - intercept

According to the question,

they have given the equation,

y = 7 x - 2

So, you can replace it with y = m x + c like this.

y = 7 x - 2

    ↑       ↑

    m      c

There fore,

slope = 7

y - intercept = ( - 2)

And now let's write the answers for the question.

11) 7 ( Answer A)

12) (-2) ( Answer D)

Hope this helps you :-)

Answer:

27 1/8

Step-by-step explanation:

217/8= 27.125 = 27

217 - (8 x 27) = 1

We've now simplified 217/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

27 1/8

Simplifying our fraction

In this case, our fraction (1/8) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 1 and 8 is 1.

1/1 = 1

8/1 = 8

When we put that together, we can see that our complete answer is:

27 1/8

Answer:

217  4/5

Step-by-step explanation:

Answer:

y=x

step by step:

graph equation is y=mx+c

y intercept (c) is 0

gradient (m) is 1

gradient is represented as (m), so the equation is just y=1x, simplified-> y=x

Answer:

  money = 2×tickets

Step-by-step explanation:

For 1 ticket sold, $2 is collected. for 8 tickets sold, $16 is collected. The relationship appears to be proportional with a constant of proportionality of $2 per ticket.

The axes are labeled "money" and "tickets", so we can write the equation ...

  money = 2×tickets . . . . . where money is in dollars

__

If you like, you can use y to represent dollars collected, and x to represent tickets sold. Then the equation is ...

  y = 2x

Answer:

0.25 book/hour

Step-by-step explanation:

(1/6)/(2/3)=x/1

*Simplify the equation

1/4=x

*Rearrange the equation

x=1/4

x=0.25 book/hour