As Sally and George practice for the SAT their scores on practice test rise Sally’s current score is 850 and it is rising by 10 points per week on the other hand George’s current score is 570 and is growing by 50 points per week
a)
when will Georgia score catch up to Sally’s?


B) if the SAT test is in 12 weeks who will score the highest?


Please show all work !!

Answers

Answer 1

Answer:

a) 7 weeks b) George's

Step-by-step explanation:

Sally's score can be modeled by 10x+850.

George's score can be modeled by 50x+570.

We can set them equal to each other to see when they intersect.

10x+850=50x+570

40x=280

x=7

If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.

Answer 2

The solution are, a) 7 weeks

                             b) George's

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

Sally's score can be modeled by 10x+850.

George's score can be modeled by 50x+570.

We can set them equal to each other to see when they intersect.

10x+850=50x+570

40x=280

x=7

If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.

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Related Questions

I NEED HELP FAST Zane is determining whether the given value of the variable is a solution of the equation.

13 + h = 21 for h = 9

What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.

Answers

There are two ways to verify whether the value of ( h ) assumed to be equal to 9 satisfies the given equation:

                          13 + h = 21

                          13 - 13 + h = 21 - 13

                           0 + h = 8

                           h = 8                

                           8 ≠ 9    

 

                          13 + ( 9 ) = 21

                              22 = 21

                              22 ≠ 21

 3) Conclude: The given value of ( h ) is not a solution of the given equation.

Tamara wants to pour a pitcher holding 5 cups of juice into servings that are 1/3 cup in size. How many servings are possible?

Answers

Answer:

15

Step-by-step explanation:

5 x 3 = 13

15 servings are possible.

Which statement below is always true?


The product of a number and zero is equal to that number.The product of a number and zero is equal to that number. ,

The product of two negative numbers is negative.The product of two negative numbers is negative. ,

The product of a positive number and a negative number is positive.The product of a positive number and a negative number is positive. ,

The product of two positive numbers is positive.

Answers

Answer:

the product of two positive numbers is positive.

Step-by-step explanation:

the product of a number and zero will always be zero, the product of two negative numbers is always positive, and the product of a positive number and a negative number is always going to be negative thereforew the only correct answer is the last option

Review: Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. How many flowers did she deliver if she made $21?

Answers

Answer:

she delivers 9 flower plugs.

Step-by-step explanation:

in a standard equation the equation would be 21 = 2x + 3 and if you isolate the x you would have to first subtract the 3 from both sides and that would leave you with 18 = 2x and then you have to divide both sides by 2 and get 9=x

what does math means​

Answers

Answer:

It means mathematics.

Lamoo thats wht it said in go-ogle

Step-by-step explanation:

what is the total number of yards lost or gained ​

Answers

-3.5x3= -10.5 -10.5+7.4= -3.1 -3.1+1= -2.1

Answer: -2.1 yards

Write an equation of the parabola in vertex form

Answers

Answer:

y = -1/9(x - 3) + 1.

Step-by-step explanation:

THe vertex is at (3, 1) so we can write:

y = a(x - 3)^2 + 1    where a is a constant.

Now the point 1, 5/9) is on the parabola so:

5/9 = a(1 - 3)^2 + 1

5/9 =  4a + 1

4a = 5/9 - 1 = -4/9 so

a = -4/9 / 4

a = -1/9

So the equation is y = -1/9(x - 3) + 1.

Write a story problem that can be represented with the following equation:
5x + 10 = 35

Answers

Annie has a lemonade stand and her mom pays her 5 dollars every week for her to go get her supplies. Her dad pays her ten dollars one week. She has 35 dollars that month. How many weeks did Annie’s mom pay her?

35 - 10 = 25

25 divided by 5 equals 5.

To check: 5 x 5 equals 25 plus 10 equals 35

I have to use sin, cos, and tan on this problem and I'm stumped.​

Answers

Answer: ahhh boohoo. Where’s the photo

Step-by-step explanation:

Ba

your height is 5ft 2 in btw i will give brainliest

Answers

Answer:

about 6

Step-by-step explanation:

a shadow is long so it kind of depends on where the sun is but what the shadow is casting off of is no actually that tall

About 6 I think this is right

Every 8 hours, a company is able to manufacture 14 tents. Suppose that the total number of tents, y, is graphed agains the total number of hours, x. What is the slope?

Answers

Evey 8 hours is the answer hope this helps

1. If f(x) = 5x4 tan-1x, find f '(x). ( 4 points)

Answers

Answer:

what are the answer choices

Step-by-step explanation:

Plz answer will give brainliest if correct

Answers

Answer:

The answer is A.

Step-by-step explanation:

Joel is looking at payment plans for the gym.

Plan A: $25 per month plus $145 to start

Plan B: $50 per month


How many months would it take for Plan A to be cheaper than Plan B?

Answers

Answer:

5 months

Step-by-step explanation:

plan a: $145 +$25x ........ $145 + ($25 x 4)= $245

plan b: $50x.......... $50 x 5= $250

Ratio table answer If I buy two ice cream’s for six dollars how much would it cost to buy 10 ice cream’s

Answers

Answer:

It would cost $30 to buy 10 ice creams.

Step-by-step explanation:

1 ice cream costs $3

10*3=30

A lake is regularly fished by 200 fishermen. A study has found that 31% of the fish
in a lake are bass. Scientists determine there are approximately 16 000 fish in the
lake and that no more than one quarter of any type of fish should be taken out of
the lake in a year if the species is to survive. What is the limit on the number of
bass for each fisherman in one year?*
SHOW ALL STEPS OF YOUR CALCULATIONS

Answers

Answer:

Step-by-step explanation:

I think I had this question

Eugene had $57.93 to spend when he went to Staples. He bought 4 notebooks for $7.99 each and some pens for $2.49 each. After paying for his supplies he had $18.50 left. How much did each pens cost?

Answers

Answer:$6.21

Step-by-step explanation:

57.93 - (4 X 7.99)

= $33.96

$33.96 - $18.50

= $15.46

[tex]\frac{15.46}{2.49}[/tex]

= $6.2088

=$6.21

Identify the kind of sample that is described. A researcher asked a simple random sample of home-schooled children, a simple random sample of children who attend private school, and a simple random sample of children who attend public school their opinion on the new town curfew.

Answers

Answer:

stratified sample

Step-by-step explanation:

The kind of sample that is being described is known as a stratified sample. This would be the type of sample because the researchers are dividing the entire student population that exists into various different categories or groups. The groups that have been created are home-schooled students, private school students, and public school students. All of the students are still part of the student population and therefore represent their groups.

What is the answer to the following equation:
[tex]\frac{5}{4} \geq \sqrt[-443]{343434789} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha \beta x_{1397} \neq 8^{2}[/tex]

thanks[tex]\frac{5}{4} \geq \sqrt[-443]{343434789} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha \beta x_{1397} \neq 8^{2}[/tex]

Answers

Answer:

bro go0gle is the right answer for this i dont think the smartes person in the world can solve this.

Step-by-step explanation:

Gareth believes that if he flips a coin 820 times, it will land heads up exactly 410 times. What would you tell Gareth about his prediction?

Answers

Answer:

A coin has a 50/50 chance to land on heads and if you flip it 820 times the most accurate prediction would be to split that 50/50.

Step-by-step explanation:

A coin has a 50/50 chance to land on heads and if you flip it 820 times the most accurate prediction would be to split that 50/50.

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

To know more about probability refer to :

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What is the measure (in radians) of central angle 0 in the circle below? Enter an exact expression.

Answers

Answer:

[tex] \frac{\pi^{c} }{3} [/tex]

Step-by-step explanation:

Measure of the length of an arc of a circle is given as:

[tex]l = \frac{ \theta}{2\pi} \times 2\pi r \\ \\ \pi = \frac{ \theta}{2\pi} \times 2\pi \times 3 \\ \\ 3 \theta = \pi^{c} \\ \\ \theta = \frac{\pi^{c} }{3} \\ [/tex]

Which property is used in the first step to solve this equation
4(x-6)=5
4x-24 = 5
4x= 29
x=29/4

Answers

Answer:

Distributive property

Step-by-step explanation:

Consider the sequence 4,-12,36,-108... is it a arithmetic sequence or a geometric sequence justify your answer

Answers

Answer:

Geometric Sequence

Step-by-step explanation:

It's a geometric sequence because it has a common ratio of -3.

'If there is a ton of corn in a tank, and 500 pounds of corn are removed, what is the
weight of the remaining corn in the tank?

Answers

Answer:

1,500 pounds :>

Step-by-step explanation:

There are 2,000 pounds in 1 ton, take away 500 from 2,000 you get 1,500

A gift card stores data using a black, magnetic stripe on the back of the card. Find the width w of the stripe.

Answers

The width of w is 0.90 cm.

Find the length of the sides:

The first step to solve this problem is to find how long is each side.  About this, we know one side is 8 1/2 cm or 8.5 but the other side is not exactly given (4cm + w + 2/3 w). To determine the length of this size, use the area formula:

A = side a x side bSide b = A / side aSide b = 46.75 / 8.5Side b 5.5

Find the length of w:

The total length of the side - known side

5.5 - 4 = 1.5

This means w + 2/3 w (0.66 w) is equal to 1.5

Find w:

w + 2/3 w = 1.5w + 0.66w = 1.51.66 w = 1.5w = 1.5/ 1.66w =  0.90 cm

Learn more about width in: https://brainly.com/question/3133832

science 8th grade 10 pts
What best explains the relationship between photosynthesis and cellular respiration?

The higher the rate of formation of products in respiration, the lower the rate of photosynthesis.
Photosynthesis depends on the carbon dioxide released during cellular respiration.
Cellular respiration depends on the water released during photosynthesis.
They have the same set of product molecules.

Answers

Answer:

Photosynthesis depends on the carbon dioxide released during cellular respiration.

Step-by-step explanation:

Streamline Market sells ground beef. Ground Beef sells for 1 pound at $1.39. 1 pound makes 4 hamburgers. What is the cost of 30 hamburgers rounded to the nearest cent?

Answers

The answer is 10.43$

Step by step:
30 / 4 = 7.5, so 7.5 pounds is needed
7.5 x 1.39 = 10.425 which is rounded to 10.43$

Find the length of each side

Answers

The triangle is equilateral, so all sides are equal.

4x = 3x + 2

x = 2

4x = 8

All sides measure 8 units.

Is figure ABCD a translation of Figure ABCD

A. Yes it is translated 2 units left and 2 units up

B. Yes it is translated 1 unit left and 3 units up

C. Yes it is translated 3 units left and 1 unit up

D. No the two figures are oriented diferently

Answers

the answer is a .. hope this helps .

Un comerciante compra 320 kg de azúcar en $784.00 en cuanto debe vender el kg. Para ganar el 18% sobre el precio de compra

Answers

Total venta con beneficio: 784 * 1,18 = $925,12

Total venta por kilo: 925,12 : 320 = $2,89

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