It is safe to assume the goal is to solve for 'r'. To do so we need to isolate 'r'.
[tex]-3r = 1/2(32-8r)\\\\-3r = 16-4r\\\\r = 16[/tex]
What is the difference between the largest prime number less than 50 and the smallest composite number greater than 10?
Answer: 35
Step-by-step explanation: The largest prime number less than 50 is 47, and the smallest composite number greater than 10 is 12 (do the math yourself if you're not sure about this).
To get your answer, subtract 12 from 47, like so:
47 - 12
Once you calculate that, you will receive an answer of 35
Answer:
The largest prime number less than 50 is 47, and the smallest composite number greater than 10 is 12 (do the math yourself if you're not sure about this).
To get your answer, subtract 12 from 47, like so:
47 - 12
Once you calculate that, you will receive an answer of 35
Step-by-step explanation:
Round 1676 to the nearest thousand
2,000 is the final answer
(-3x + 7) - 4(2x - 6) - 12 > 7
Step 1. Simplify brackets
-3x + 7 -4(2x - 6) -12 > 7
Step 2. Cancel 7 on both sides
-3x -4(2x - 6) -12 > 0
Step 3. Expand
-3x - 8x + 24 - 12 > 0
Step 4. Simplify -3x - 8x + 24 - 12 to -11x + 12
-11x + 12 > 0
Step 5. Subtract 12 from both sides
-11x > -12
Step 6. Divide both sides by -11
x < -12/-11
Step 7. Two negatives make a positive
x < 12/11
The answer is x < 12/11.
my tens digit is double my ones digit. I am less than 70 and greater than 60.
63 is your answer
Check:
Multiply: 3 x 2 = 6
Check that it is greater than 60, less than 70: 60 < 63 < 70
~Rise Above the Ordinary
what is the factorization of the trinomial below? x^3-2x^2-35x
A) x(x-7)(x-5)
B) (x-7)(x+5)
C) x(x-7)(x+5)
D) (x^2-7)(x+5)
Solve the following equation for y: 2x-3y=6
2x-3y=6
-y=6
y=-6
Check your Work
-6(2) - 3(-6)=
-12-(-18)=
-12+18=6
what is the patern in the values as the exponents increase?
powers of 3. value
3^-1. 1/3
3^0. 1
3^1. 3
3^2. 9
A. add 3 to the previous value
B. subtract 3 from the previous value
C. divide the previous value by 3
D. multiply the previous value by 3
Answer:
D. multiply the previous value by 3
Step-by-step explanation:
The pattern of values as the exponents increase is
1/3, 1, 3, 9
Comparing 1/3 to 1, we either add 2/3 or multiply by 3.
Comparing 1 to 3, we either add 2 or multiply by 3.
Comparing 3 to 9, we either add 6 or multiply by 3.
The constant in this pattern is multiplication by 3.
there is an increase in the money supply that causes money to lose its purchasing power and prices to rise, what is this called?
A. Stagnation.
B. Inflation.
C. Deflation.
D. Conflation.
Answer:
open
Step-by-step explanation:
Inflation is the term used when an increase in the money supply reduces the purchasing power of money and causes prices to rise.
what is the lcm of 6 and 7
The lcm of 6 and 7 is 42.
The least common multiple of 6 and 7 is 42.
The least common multiple of 2 or more numbers, is the lowest multiple that all the numbers have in common. Here are the multiples of 6 and 7 up to 42, to show that 42 is the LCM.
6: 6, 12, 18, 24, 30, 36, 42.7: 7, 14, 21, 28, 35, 42.Thus making 42 the Least Common Multiple.
I hope this helps!
How many 5/16 foot pieces of wood can you cut from a board that is 1 9/16 feet long ? Please explain
Add 16 to 1 9/16 that will then be 25/16 then you divide 5 from 25 that equals 5 so that is your answer
Mario's Fine Dining charges $60.22 for its prix fixe meal plus $37.69 for every drink, d, you purchase. The equation that models the total cost (T) isT(d)=37.69d+60.22. Which value in the equation represents the rate of change?
Answer:
The value of rate of change in the equation [tex]T(d)=37.69d+60.22[/tex] is 37.69.
Step-by-step explanation:
Given the equation that models the total cost(T) is:
[tex]T(d)=37.69d+60.22[/tex] where d is the drink you purchase.
To determine the rate of change:
1. An equation must be into the Slope-intercept form (y=mx+b).
2. m is the slope (rate of change) of the linear function.
3. b is the y-intercept of the linear function (y- intercept is where the line crosses the y-axis).
Since, the given equation is in the linear form i.e, [tex]T(d)=37.69d+60.22[/tex]
The rate of change(m) of the given equation is, 37.69.
scenario for 300=60t
round 7.854 to the place named?
This is placed at the thousandth place
(i think that is what you wanted me to answer..?)
hope that helps :)
Jerry walked a dog from 6:40 am to 7:30 pm one day. If he was paid at the rate of 6$ per hour, how much did he earn that day?
Answer:
$5
Explanation:
Since Jerry walked the dog from 6:40am to 7:30am, the total minutes that he walked the dog was 50 minutes. Also a note, an hour is 60 minutes.
Since he is paid at a rate of $6 per 60 minutes, we can make a proportion.
660=x50
From here, you have to solve for x. So cross multiply, and then simplify.
60x=50⋅6
60x60=50⋅6/60
60x60=50⋅6/60
x=5⋅6/6
x=5
So the answer is $5.
Jerry earned about $76.98 for the day.
Jerry walked a dog from 6:40 am to 7:30 pm. To calculate how much he earned, we need to determine the total number of hours he worked.
First, we convert the end time into military time, which is 19:30.
Subtract the start time, 6:40, from the end time, 19:30.
Calculation:
From 6:40 am to 6:40 pm is 12 hours.From 6:40 pm to 7:30 pm is an additional 50 minutes, which is [tex]\frac{50}{60}[/tex] hours or approximately 0.83 hours.Total hours worked: 12 + 0.83 = 12.83 hours.Now, we use the rate of $6 per hour to calculate his earnings:
Earnings = Total hours * Rate per hour
Earnings = 12.83 hours * $6/hour = $76.98
Since Jerry worked a fraction of an hour, we included the approximate earnings up to two decimal places.
So, Jerry earned about $76.98 for the day.
Jose bought a sofa on sale for $527. The price was 38% less than the original price. What was the original price
the original price of the sofa was 727.26
700 meters or 4 kilometers which is furthest?
Mia 77 pieces of gum playing hoops at her school's game night. later she gave three to each of her friends. she only has five remaining. how many friends does she have?
77 - 3x = 5
subtract 77 from both sides : -3x = -72
divide by -3 on both sides to get x by itself : x = 24
The answer is that Mia has 24 friends (x = 24)
If two figures are similar, the corresponding sides are?
The corresponding sides of similar figures can be equal, but if they are different in any way, they will always be proportional.
Corresponding angles, however, will always be equal.
If two figures are similar , the corresponding sides are proportional.
What are similar figures?Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar.
They will have thesame shape , if possible thesame corresponding angles. But different sides. The ratio of the corresponding sides are equal or we can say that the corresponding sides are proportional.
This ratio of the sides is called scale factor.
Scale factor is expressed as;
scale factor = New dimension /old dimension.
Therefore, the corresponding sides of similar figures are proportional.
learn more about similar figures from
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round to the place value of the underlined digit 12,387 and 2 is underlined
To round 12,387 with the thousands place underlined, we look at the digit to the right (3) and, since it is less than 5, we round down by keeping the 2 unchanged and turning all the digits to its right to zeros, which gives us 12,000.
Since the next digit (3) is less than 5, we do not increase the value of the underlined digit. Thus, we keep the 2 as it is and change all the digits to the right of it to zeros, resulting in the rounded number 12,000.
This concept is similar to the general principle applied when rounding numbers, which involves looking at the digit immediately to the right of the target place value. If it's 5 or greater, we round up. Otherwise, we round down. Examples of rounding numbers in different situations include:
Significant figures: Rounding an answer like 2,085.5688 to five significant figures would result in 2,085.6 because the first digit to be dropped is greater than 5.
Limiting the final answer to a certain place value: When adding 6527.23 and 2, the answer must be reported as 6528 because the digit 2 has no decimal places that would be significant, so we can only report to the ones place.
When working with calculations such as 119.902, if we need to limit our answer to tenths based on significant figures, we round down to 119.9.
If f(x)= 6x+7, determine the value of f(-5)
There are 7 school buses taking students on a field trip. There are 37 students on each bus. How many students are going on the field trip? Please show work and it’s not 249
There are 259 kids on all 7 buses.
Simplify. 4^3 · 4^4/4^9 A) 41^6 B) 4^2 C) 1/4^2 D) 1/4
Answer:
c
Step-by-step explanation:
c 1/4>2
cause the and to that is 1/16
Did I get this right ???will mark brainliest and is worth 17 points
Answer:
it is right
Step-by-step explanation:
Yes, you are correct. A negative number times a positive is a pos, and 4 times 12 is 48. Neg times a neg is a pos, and 48 times 3 is 144.
Jannelle can drive an average of 295 miles on one tank of gas. How many miles can she drive on 16 tanks of gas?
Jannelle could go 4,720 miles hope this helps
4720 miles can be driven with 16 tanks of gas.
What is Proportion?Two or more ratios setting to be equal to each other is termed as proportion.
If two quantities are directly proportional, if one increases. other also increases and if one decreases, other also decreases.
If two quantities are inversely proportional, if one increases other decreases and if one decreases, other increases.
Solve this problem using proportional concept.
Jannelle can drive an average of 295 miles on one tank of gas. We have to find the miles she can drive on 16 tanks of gas.
Miles Jannelle can drive on one tank of gas = 295 miles
Miles Jannelle can drive on 16 tanks of gas = 16 × 295
= 4720 miles
Hence Jannelle can drive 4720 miles on 16 tanks of gas.
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Can you help me? Please show how you work it out
Swimmers: 50 children ÷ 12 = 4.2 (you can't have a decimal so you must round up)
5 adults are need.
Dancers: 32 children ÷ 15 = 2.1 (you can't have a decimal so you must round up)
3 adults are need.
Minimum number of adults needed is: 5 for swimmers + 3 for dancers = 8 adults
-25=-4x show your work
-25 = -4x
divide by -4
25/4 =x
6*4 =24 25-24 = 1
6 1/4 = x
Divide each side by -4
WILL GIVE BRAINLIEST. is my answer correct
Yes, I believe so, because the equation is already as simplified as it can be with the given information and the graph is correct for the equation given.
If I’m remembering correctly then yes
which compound inequality is equivalent to ax-b c
i think the answer is ax -b < - c
Find the equation of the line that is parallel to y=1/2x-4 and contains the point (4,5).
Answer:y=(1/2)x+3
Step-by-step explanation:
Solve the inequality for x. Show each step of the solution.
12x>9(2x-3)-15
[tex]12x > 9(2x-3)-15\qquad|\text{use distributive property}\\\\12x > (9)(2x)+(9)(-3)-15\\\\12x > 18x-27-15\\\\12x > 18x-42\qquad|\text{subtract 18x from both sides}\\\\-6x > -42\qquad|\text{change the signs}\\\\6x < 42\qquad|\text{divide both sides by 6}\\\\x < 7[/tex]
Answer:
The answer is x<7
Step-by-step explanation: Factor[12 x > -15 + 9 (-3 + 2 x)]. 12 x > 6 (-7 + 3 x). Then, you get 7 is greater than x. Hope this helps!