Until the scale was changed in 1995, SAT scores were based on a scale set many years ago. For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110. In 2013 the mean was 515 and the standard deviation was 116. Gina took the SAT in 1994 and scored 500 on the Math test. Her cousin Colleen took the SAT in 2013 and scored 530 on the Math test. Who did better relative to their peers, and how can you tell? Group of answer choices Colleen—she scored 30 points higher than Gina. Gina—the standard deviation was bigger in 2013. Gina—her standardized score is higher than Colleen’s. Colleen—her standardized score is higher than Gina’s.

Answer:

Step-by-step explanation:

If the price after the discount is subtracted is $96.25 then this is what you do

u times 0.40 x 96.25 which is 38.5 so since you are wanting to know what the price was before the discount you would add 38.5 to 96.25 and when you do that your answer is 134.75

but if you are just trying to get the discount from 96.25 you subtract 38.5 from 96.25

The original price of the tire that Gary would have paid had it not been for the discount is $160.42

Gary spent $96.25 on a new tire but this tire had been discounted by 40%.

This means that $96.25 is the result of the original price being reduced by 40%. Assuming that original price is x, the relevant expression would be:

x - (x × 40%) = 96.25

x - 0.4x = 96.25

0.6x = 96.25

x = 96.25 / 0.6

x = $160.42

In conclusion, the original price was $160.42.

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Answer:

Step-by-step explanation:

Multiply the members of the revenue equation by 2:

system%28a%2Bs%2Bc=278%2C12a%2B7s%2B5c=2600%2Ca=2s-10%29

Three linear equations in three unknowns. Solve.

Answers:

7 i think.

Step-by-step explanation:

Answer:

Perpendicular  

Step-by-step explanation:

The slopes are the same except one is negative therefore they are perpendicular

Answer:

That means it will take you 1 and 1/3 hour to go a kilometer.

Answer:

Step-by-step explanation:

Let the initial percentage to be 30%

If it started to loose 2.5% every hour where;

t represents the time after Charlotte left her house

The amount of percent remaining every hour will form an arithmetic sequence as shown;

30, (30-2.5), (30-5.0),...

30, 27.5, 25.0...

Using the nth term for calculating an arithmetic sequence

B = a + (t-1)d

a is the first term = 30

d is the common difference = 27.5-30 = 25-27.5 = -2.5

t is the time

Substitute the given values into the formula;

B = 30 + (t-1)(-2.5)

B = 30+(-2.5t+2.5)

B = 30-2.5t+2.5

B = 32.5 - 2.5t

Hence equation for B, in  terms of t, representing the charge remaining in Charlotte's battery, as a percentage,  t hours after Charlotte left her house is B = 32.5 - 2.5t

Answer:

(2,-3)

Step-by-step explanation:

When they intersect it called a solution

Hope its right

Answer:

B

Step-by-step explanation:

Answer:

the option for ur question is b

Answer:

     -4 / 3

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -4 -0)/( -2 - -5)

     ( -4 -0)/( -2 +5)

     -4 / 3

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Y (-5, 0)

Z (-2, -4)

Step 2: Find slope m

Answer:

m∠BEF = 65.3°

Step-by-step explanation:

Given:

m∠DEB = 27.2,

m∠DEF = 92.5

Required:

m∠BEF

SOLUTION:

Since B is the interior of ∠DEF, it means ∠DEB and ∠BEF are adjacent angles that make up ∠DEF. And they share the same side, BE.

Therefore:

m∠BEF + m∠DEB = m∠DEF (angle addition postulate)

m∠BEF + 27.2 = 92.5

Subtract 27.2 from each side

m∠BEF + 27.2 - 27.2 = 92.5 - 27.2

m∠BEF = 92.5 - 27.2

m∠BEF = 65.3°

Answer:

92.5 and 27.2 and 65.3 will be the answer.

Answer:

a. 12 mice

b. 8 mice

c. (X + 2) mice

Step-by-step explanation:

Given that one mouse is required for each snake, this implies that a snake is accompanied by a mouse. But two extra mice are included, let the number of snake be represented by N and number of mice be represented by L.

Supply needed = N + L + 2

                          = 2N + 2      (∵ N = L)

So that:

Number of mice needed = N + 2

a. When the number of snake is 10, the number of mice needed would be:

Number of mice needed = 10 + 2

                         = 12

Number of mice needed is 12.

b. When the number of snake is 6, the number of mice needed would be:

Number of mice needed = 6 + 2

                         = 8

Number of mice needed is 8.

c. When the number of snake is X, the number of mice needed would be:

Number of mice needed = X + 2

Answer:  f(x)= 2x -3

Step-by-step explanation:

Using the given information we can come up with two points that will be use to find the slope and y-intercept.  

If you input 0 you get -3  so the point will be (0,-3)

If you input 7  you get 11  so the point will be (7,11)

Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.

y coordinates:  -3 - 11 = -14

x coordinates:  0 - 7 = -7

  -14/-7 = 2

Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.

Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.

-3= 2(0) +b

-3 = 0 + b

b = -3  

f(x) is the same as y in the formula, meaning that the equation will be  

 f(x) = 2x -3

Answer:

The standard number is greater than one. Negative means it's going to be .xxx

Answer:

Ste scientific notation, a positivep-by-step explanation:

Answer:

y-7=-2(x-5)

Step-by-step explanation:

point slope equation is y - y1=m(x-x1). so input the slope (m) and the point (x,y) into y1 and x1

Answer:

Step-by-step explanation:

Negative3 is6,8

Answer:

Negative3 is6,8

Step-by-step explanation:

i know it

Answer:

42in

Step-by-step explanation:

just took quiz

Answer:

42 100% edg

Step-by-step explanation:

as we can see form the digram if you put it in a more relistic way 42 would dend up there for 42

Answer:

Step-by-step explanation:

Answer:

3?

Step-by-step explanation:

3 is the slope intercept I believe

Answer:

the 3rd istansa ha?

Step-by-step explanation:

Sana maka tulong

Answer:

142

Step-by-step explanation:

Answer:

2.548 pascal

Step-by-step explanation:

force=mass×acceleration due to gravity

force=39×9.8

pressure(p)=force/area

p=382.2/150

p=2.548 pa

Answer:

x = 4

JM ≅ MN = 3

JN = 2

Step-by-step explanation:

In an isosceles triangle, two of the sides are equal. Given the lengths of sides of triangle JMN as JM, MN, and JN where JM ≅ MN

Given

JM = 2x - 5

MN = 3x -9, and

JN = x - 2.

Since JM≅ MN then;

2x - 5 = 3x-9

Collect like terms;

2x-3x = -9+5

-x = -4

multiply both sides ny -1;

-(-x) = -(-4)

x = 4

For side JM;

JM = 2x-5

JM = 2(4)-5

JM = 8-5

JM = 3

Since JM ≅ side MN, hence;

MN = 3

For side JN;

JN = x-2

JN = 4-2

JN = 2

Answer:

good job

Step-by-step explanation:

Answer:

8th floor

Step-by-step explanation:

Because he went up twice

A softball team is ordering pizza to after the tournament they plan to order a cheese pizza(c) that cost eight dollars each and pepperoni pizza(P) cost $12 each gotten from the odyssey pizzas.

Which expression represents the total cost of all of the pizzas they order?

Answer:

t = 8c + 12P

Step-by-step explanation:

We are told that cheese pizza(c) costs eight dollars.

This means for c number of cheese pizzas, cost is $8c

Also, we are told that cost of pepperoni pizza is $12 each.

So, for P number of pepperoni pizzas, the cost is $12P

Therefore expression of total cost(t) will be the sum of the cost of c number of cheese pizzas and P number of pepperoni pizzas.

Thus;

t = 8c + 12P

Answer:

y-intercept: 2

x-intercept: 8

Step-by-step explanation:

I just graphed it into desmos. Wherever it crossed the axis, it's the answer.

Answer:

[tex]f(x)=x^2+3x+2[/tex]

Step-by-step explanation:

We want to write the equation of a quadratic whose graph passes through (-3, 2), (-1, 0), and (1, 6).

Remember that the standard quadratic function is given by:

[tex]f(x)=ax^2+bx+c[/tex]

Since it passes through the point (-3, 2). This means that when [tex]x=-3[/tex], [tex]f(x)=f(-3)=2[/tex]. Hence:

[tex]f(-3)=2=a(-3)^2+b(-3)+c[/tex]

Simplify:

[tex]2=9a-3b+c[/tex]

Perform the same computations for the coordinates (-1, 0) and (1, 6). Therefore:

[tex]0=a(-1)^2+b(-1)+c \\ \\0=a-b+c[/tex]

And for (1, 6):

[tex]6=a(1)^2+b(1)+c\\\\ 6=a+b+c[/tex]

So, we have a triple system of equations:

[tex]\left\{ \begin{array}{ll} 2=9a-3b+c &\\ 0=a-b+c \\6=a+b+c \end{array} \right.[/tex]

We can solve this using elimination.

Notice that the b term in Equation 2 and 3 are opposites. Hence, let's add them together. This yields:

[tex](0+6)=(a+a)+(-b+b)+(c+c)[/tex]

Compute:

[tex]6=2a+2c[/tex]

Let's divide both sides by 2:

[tex]3=a+c[/tex]

Now, let's eliminate b again but we will use Equation 1 and 2.

Notice that if we multiply Equation 2 by -3, then the b terms will be opposites. So:

[tex]-3(0)=-3(a-b+c)[/tex]

Multiply:

[tex]0=-3a+3b-3c[/tex]

Add this to Equation 1:

[tex](0+2)=(9a-3a)+(-3b+3b)+(c-3c)[/tex]

Compute:

[tex]2=6a-2c[/tex]

Again, we can divide both sides by 2:

[tex]1=3a-c[/tex]

So, we know have two equations with only two variables:

[tex]3=a+c\text{ and } 1=3a-c[/tex]

We can solve for a using elimination since the c term are opposites of each other. Add the two equations together:

[tex](3+1)=(a+3a)+(c-c)[/tex]

Compute:

[tex]4=4a[/tex]

Solve for a:

[tex]a=1[/tex]

So, the value of a is 1.

Using either of the two equations, we can now find c. Let's use the first one. Hence:

[tex]3=a+c[/tex]

Substitute 1 for a and solve for c:

[tex]\begin{aligned} c+(1)&=3 \\c&=2 \end{aligned}[/tex]

So, the value of c is 2.

Finally, using any of the three original equations, solve for b:

We can use Equation 3. Hence:

[tex]6=a+b+c[/tex]

Substitute in known values and solve for b:

[tex]6=(1)+b+(2)\\\\6=3+b\\\\b=3[/tex]

Therefore, a=1, b=3, and c=2.

Hence, our quadratic function is:

[tex]f(x)=x^2+3x+2[/tex]