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The table below shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the same recipe.Lemon juice (\text{mL}mLstart text, m, L, end text) Sugar (\text{g}gstart text, g, end text) Batch A 500500500 200200200Batch B 750750750 300300300Batch C 150015001500 600600600Write an equation to describe the relationship between jjj, the amount of lemon juice in \text{mL}mLstart text, m, L, end text, and sss, the amount of sugar in \text{g}gstart text, g, end text.
General
4 months ago
you are running a concession stand at a game. you are selling hot dogs and sodas. each hot dog costs $1.50 and each soda costs $0.50. at the end of the night you made a total of $78.50. you sold a total of 87 hot dogs and sodas combined. you must report the number of hot dogs we’re sold and how many sodas were sold?
General
4 months ago
Answer:4. Sammy is making a big batch of fruit salad. He buys the following fruits in the ratio below. He knows hebought 12 lbs of grapes. How many of each other fruit did Sammy purchase?Cantaloupe to Apples is 3 to 4Apples to Grapes is 5 to 3Grapes to Oranges is 4 to 2Oranges to Peaches is 2 to 5
General
4 months ago
The point slope form of the equation of the line that passes through (-5,-1) and (10,-7) is y+7=-2/5(x-10). what is the standard form of the equation for this line? A. 2x-5y=-15B. 2x-5y=-17C. 2x+5y=-15D. 2x+5y=-17
General
4 months ago
Drex's and Max's ages add up to 29.Seven years ago Drex was twice as old as Max. Find their present ages
General
4 months ago
Which statements about the line that passes through (−2, 0) and (2, −4) are true? Select all that apply. A. The slope of the line is 1. B. The line intersects the y-axis at (0, −2). C. The equation of the line is y = −x − 2. D. The line intersects the x-axis at (−2, 0).
General
4 months ago
The sum of three consecutive odd numbers in 177. What is the largest of the three numbers?Step by step please!
General
4 months ago
A consulting company keeps 50 staff members in their local office between Monday and Friday, but only 15 on Saturday and Sunday. The average number of staff members in the office per day is _?_
General
4 months ago
1. A football team loses 3 yards and then gains 3 yards.Find the overall change for the situation Please help me! 11points !
General
4 months ago
i have 5 questions 1) Ben is choosing between two savings accounts. Both accounts pay 3% interest. Account X pays compound interest. Account Y pays simple interest. Ben should choose account X becauseA) the interest would be tax free. B) it would pay interest on interest. C) the interest rate would decrease over time. D) the interest rate would increase over time. 2) Liam puts $2,000 in the bank with a 3% annual interest rate compounded annually. If Liam does not touch his money, how much money will he have after two years?A) $2,000.06 B) $2,060.00 C) $2,120.00 D) $2,121.80 3) Noah wants to put $1,000 in a savings account with a 1.5% annual interest rate. How much more money will he have after one year if it is compounded monthly versus no compounding?A) $0.10 B) $15.00 C) $1015.00 D) $1015.10 4) Sam has a loan for $1200 at a rate of 9% annually. How much interest will he pay in 5 years?A) $54.40 B) $108.00 C) $540.00 D) $1740.00 5) Jill and Bill are the same age. Jill inherits $20,000 when she is 25, and invests it in an account earning 5% annual interest rate, compounded annually. Bill receives a $20,000 bonus at age 35, and then invests it in an account which also earns a 5% annual interest rate, compounded annually. How much more money does Jill have than Bill at age 50?A) $0 B) $10,000 C) $18,075 D) $26,149
General
4 months ago
Forty-eight pounds of sand are used to fill 12 bags. Miranda uses the five-step problem-solving plan. After completing the Solve step, how many pounds of sand should she find each bag will hold?
General
4 months ago
Mark borrowed $5,500 at 11.5 percent for five years. What is his monthly payment?A. $131.50B. $173.50C. $120.95D. $150.22
General
4 months ago
A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.What are the measures of the angles in triangle ABC?a) m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°b) m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°c) m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°d) m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°
General
4 months ago
Which is the best approximation for the measure of angle XYZ?A) 33.6°B) 39.8°C) 50.2°D) 56.4°
General
4 months ago
Given right triangle JKM, which correctly describes the locations of the sides in relation to ∠J? a is the hypotenuse, b is adjacent, c is opposite a is the hypotenuse, b is opposite, c is adjacent a is adjacent, b is opposite, c is the hypotenuse a is opposite, b is the hypotenuse, c is adjacent
General
4 months ago
A running track in the shape of an oval is shown. The ends of the track form semicircles. A running track is shown. The left and right edges of the track are identical curves. The top and bottom edges of the track are straight lines. The track has width 62 m and length of one straight edge 100 m What is the perimeter of the inside of the track? (π = 3.14)
General
4 months ago
Irving spent the day shopping and made the following purchases: Item Cost ($) Novel 8.75 Shirt 21.66 Lunch 9.13 Potted plant 16.89 When Irving was done, he checked his account balance and found he had a total of $95.06. How much money was in Irving’s account to begin with? a. $56.43 b. $151.49 c. $38.63 d. $142.36
General
4 months ago
Sarah polled 40 randomly selected students at her high school and found that 20% ( = 0.2) are happy with the quality of the cafeteria food. With a desired confidence level of 99%, which has a corresponding z*-score of 2.58, what is the approximate margin of error of Sarah’s poll? Remember, the margin of error, E, can be determined using the formula E = z*
General
4 months ago
If ABC DEC, what is the value of x? x = 8 x = 5 x = 4 x = 1 x = 2
General
4 months ago
Donna buys candy that costs $5 per pound. She will spend less than $30 on candy. What are the possible numbers of pounds she will buy?
General
4 months ago
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