MATHEMATICS MIDDLE SCHOOL

Blake and three friends meet for lunch. His friends all get the same thing, but Blake gets a different lunch that cost $6. Write ab expression to show the total amount that Blake and his friends spend. Then find the total amount that Blake and his friends spend if each friend spends $8.

Answers

Answer 1

Answer:

Step-by-step explanation:

Friends lunch=8+8+8=$32

Blake's lunch=$6

32+6=$40 total

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1/2x + x + 1/5y + y = 32

What would be the first step to slove the system of equations 2x-9y=6 and 4x-3y=-7

Answers

If there are choices, then you need to choose the correct choice, but if there are no choices, then one correct answer is to multiply the first equation by -2 and add it to the second equation to eliminate x and solve for y.

The first step varies depends on what method you want to use to solve the system of equations.
If it is me, my first step would be either doubling the first equation so the coefficients of x in both equations equal to each other, or tripling the second equation so the coefficient of y in both equations is set equal.

2x-9y=6
4x-3y=-7

3(second euation) =12x-9y=-7

second equation subtract the first equation
10x=-13
x=-13/10

Then we can plug x in any of the two original equations and solve for y which i got to be -19/15

The question is: find 55% of $4.80...how do I find the answer?

Answers

4.80 = 100%
x = 55%

Cross Multiply

100 * x = 55 * 4.80
100x = 264
x = 264
100
x = 2.64

Solution: $2.64

Percentages are out of one, so finding the x% of anything is just multiplying that thing by some decimal value defined by x. In this case, since x is 55, you multiply by .55. If it was 5%, you would multiply by .05, 34% .34, and so on. 4.8*.55=2.64.

What is the volume of a rectangular box that has base area of 75 square inches and a height of 20 inches

Answers

the answer is 1,500 cubic inches

75 x 20 =1500 cubic inches. Happy to Help!

When baking a cake, you have a choice of the following pans:a round cake pan that is 2 inches deep and has a 7 inch diametera 6 inch x 9 inch rectangular cake pan that is 2 inches deepa. Which of these pans has the larger volume? Justify your answer.b. Excluding the bottom of the cake, what is the surface area ofeach cake that willbe covered by frosting? Justify your answer.

Answers

So, Lets Find The Volumes. Lets Find The Rectangular Pan's First. We Have To Do 6*9*2 For The Volume. 6*9 = 54. Now, Lets Multiply By Two. 54*2 = 108. So, The Rectangular Pan Is 108 in.^3. Now, Lets Do The Cylinder. We Do 3.14*(7/2*7/2) * 2. 7/2 = 3.5. 3.5*3.5 = 12.25. Now, Do 12.25*3.14. This Gives You 38.465. Now, Multiply By 2. This Gives You 76.93. Now, We Have Found A To Be The Bigger Cake Volume Would Be Made In The Rectangular Pan.

Does 4/8 +7/8=11/16 or 11/8

Answers

that's easy it is 11/8 because 4+7=11 8 will be the same

The answer would be 11/8 because 7+4=11 and then the denominator(8) will stay the same.

Ricardo and John start swimming from the same location. Ricardo starts 15 seconds before John and swims at a rate of 3 feet per second. John swims at a rate of 4 feet per second in the same direction as Ricardo. which equation could you solve to find how long it would take John to catch up with Ricardo?A. 4t+3=3t
B. 4t+60=3t
C. 3t+3=4t
D. 3t+45=4t

Answers

speed=distance / time; ⇒distance=speed * time
Distance traveled by Ricardo
Distance (Ricardo)= (3 ft / s) * 15s+3 ft/s * time=45 ft+3 ft/s*t=45+3t

Distance traveled by John:
Distance(John)=(4 ft/s) * time=4t

Distance traveled by Ricardo=Distance traveled by John
3t+45=4t

Answer: D. 3t+45=4t

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