# Two numbers, a and b, are each greater than zero, and 4 times the square root of a is equal to 9 times the cube root of b…

Mike, can you show best way to solve this insane question!? (#38 with Calculator OCT 1, 2022 SAT)

Two numbers, a and b, are each greater than zero, and 4 times the square root of a is equal to 9 times the cube root of b. If a=2/3, for what value of x is a^x equal to b?

# At a school fair, students can win colored tokens that are worth a different number of points depending on the color…

5G + 45R = 380

At a school fair, students can win colored tokens that are worth a different number of points depending on the color. One student won G green tokens and R red tokens worth a total of 380 points. The given equation represents this situation. How many more points is a red token worth than a green token?

# Store A sells raspberries for \$5.50 per pint and blackberries for \$3.00 per pint. Store B sells raspberries for \$6.50 per pint and blackberries for \$8.00 per pint…

Store A sells raspberries for \$5.50 per pint and blackberries for \$3.00 per pint. Store B sells raspberries for \$6.50 per pint and blackberries for \$8.00 per pint. A certain purchase of raspberries and blackberries would cost \$37.00 at Store A or \$66.00 at Store B. How many pints of blackberries are in this purchase?

A. 4
B. 5
C. 8
D. 12

# A truck enters a stretch of road that drops 4 meters in elevation for every 100 meters along the length of the road.

The official answer explanation is a bit confusing. Can you please explain B)?

A truck enters a stretch of road that drops 4 meters in elevation for every 100 meters along the length of the road. The road is at 1300 meters elevation where the truck entered, and the truck is traveling at 16 meters per second along the road. What is the elevation of the road, in meters, at the point where the truck passes t seconds after entering the road?

A) 1300-0.04t

B) 1300-0.64t

C) 1300-4t

D)1300-16t

# 600+105x ≤ 750+80x, what is x?

Hi, I have another question

y=600+105x ≤ 750+80x

what is x?

the answer key says it x≤ 6; however, they didn’t change the sign when dividing both sides.

the answer I got was x≥6

(I also wanted to mention that I asked two questions and they are both from the deleted practice test 4. Do you know why practice tests 2 and 4 are deleted? Would it be because there are mistakes?)

# What is the solution set of the equation above?

Hello; I have a question.

sqrt(x-2)=x-4

what is the solution set of the equation above?

a){3,6} b) {2} c) {3} d) {6}

the answer I got was a) but the answer key said it’s incorrect because 3 is an extraneous solution; however, I don’t understand why it’s an extraneous solution. I plugged in 3 and 6 back into the equation and both worked out.

for plugging in 3:
sqrt(3-2)=3-4 –> sqrt(1)=-1 –> -/+1=-1 does the square root of 1 not include -1?

# A class X cargo ship can hold a maximum of 18000 standard containers…

Hi Sir,

A class X cargo ship can hold a maximum of 18000 standard containers. A class X cargo ship can hold 20 percent more containers than a class Y cargo ship. How many more containers can a class X cargo ship hold than a class Y cargo ship?

How to resolve this question?

Thank you!

# I found this on the No Calc section of the March 2018 SAT, can you solve it the “traditional way” and with shortcuts (if there are any)? (it’s a grid-in question)

Hi Mr. Mcclenathan,

I found this on the No Calc section of the March 2018 SAT, can you solve it the “traditional way” and with shortcuts (if there are any)? (it’s a grid-in question)

Tamika is ordering desktop computers for her company. The desktop computers cost \$375 each, and tax is an additional 6% of the total cost of the computers. If she can spend no more than \$40,000 on the desktop computers, including tax, what is the maximum number of computers that Tamika can purchase?

Thank you!!

# Could you repost answer explanation to CollegeBoard Test 3, Math 4.23? Specifically, is there a way to solve this if you don’t know the little trig ID about complementary angles?

Could you repost answer explanation to CollegeBoard Test 3, Math 4.23? Specifically, is there a way to solve this if you don’t know the little trig ID about complementary angles?

# Thanking content.

Thanking content.

Hello Mr.Mcclenathan
I hope you’re doing well
I’m preparing for my SAT and I’m aiming for the perfect score 1600 , However I got ur book a few days ago and it’s really amazing,thank you so much for it and have a good life. Create more books

# 2x^2 – 3x – 7 = 0 If c and d are the two solutions of the quadratic equation above, what is the value of c + d?

2x^2 – 3x – 7 = 0

If c and d are the two solutions of the quadratic equation above, what is the value of c + d?

Is there a smarter/quicker way to solve this than the quadratic formula?

# Test #9, Section 4 (Calculator), #18

I’d be curious to hear what you think is the easiest way to solve Test #9, Section 4 (Calculator), #18. A lot of the students I work with find this challenging because the question says p percent (rather than using p as a decimal).

Thanks!

# Which of the following equations describes a circle with radius 10 that passes through the origin when graphed in the xy-plane?

Which of the following equations describes a circle with radius 10 that passes through the origin when graphed in the xy-plane?

A) (x – 5)² + (y+5)² = 10

B) (x – 5)² + (y+5)² = 100

C) (x – 10)² + (y+10)² = 10

D) (x – 5√2)² + (y+5√2)² = 100

Clearly, A) is out because that one does not have a radius of 10. What is the most time-efficient way to solve this? Sketch and eyeball?

# Test 1 sec 4 #27 please!

Test 1 sec 4 #27 please!

# Can you explain this algebraically (even if you also give a graphed explanation)?

Can you explain this algebraically (even if you also give a graphed explanation)?

Radioactive substances decay over time. the mass M, in grams, of a particular radioactive substance d days after the beginning of an experiment is shown in the table below:

Number of days, d Mas, M (grams)
0 120.00
30 103.21
60 88.78
90 76.36

If this relationship is modeled by the function M(d) = a • 10^bd, which of the following could be the values of a and b?

A) a = 12 and b = 0.0145

B) a = 12 and b = -0.0145

C) a = 120 and b = 0.0022

D) a = 120 and b = -0.0022