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[tex]4q = 52[/tex]
Divide sides by 4
[tex] \frac{4q}{4} = \frac{52}{4} \\ [/tex]
Simplification
[tex]q = 13[/tex]
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A man walks around a circular park 4 times in 12 minutes. The radius of the park is 49m. Find the speed of the man in km/ h.
What is the value of the expression 2x2 + 5x – 6 when x = 2?
Answer:
2×2^2 +5×2 -6
= 2×4 +10 -6
= 8+10-6
= 18-6
= 12
A bathtub filled with 40 gallons of water drains at an average rate of 3 p minute what is the rate of change and initial value of the linear function that models the amount of water in the bathtub after starts draining
Answer:
The rate of change = 3 gallons of water per minute
initial value = 40 gallons of water
Step-by-step explanation:
Initial volume of the bathtub = 40 gallons of water
Average rate of drain = 3 gallons of water per minute
what is the rate of change and initial value of the linear function that models the amount of water in the bathtub after starts draining?
The rate of change is 3 gallons of water per minute and initial value is 40 gallons of water
a softball with a mass of 0.20 kg is thrown with a net force of 80 N. What is the acceleration of the softball as it begins to move to the nearest m/s squared.
Answer:
divide it
Step-by-step explanation:
Step-by-step explanation:
Mass of Ball- 0.20KG
Force applied-80N
F= m×a
M=f÷a
M= 80÷0.20
Answwer= 400 m/s(sq)
Gabriella ran several laps around a 1/4-mile track. Then she ran 2 1/2 miles on a trail. In all, she ran 4 miles. Write and solve an equation to find l, the number of laps Gabriella ran.
9514 1404 393
Answer:
1/4×l +(2 1/2) = 4l = 6Step-by-step explanation:
For l laps around a 1/4 mile track, the total distance is ...
l×(1/4)
After adding 2 1/2 miles to that, Gabriella's total distance was 4 miles:
l×(1/4) +(2 1/2) = 4 . . . . an equation to find l
__
We can solve this equation by subtracting 2 1/2, then multiplying by 4.
l×(1/4) = 1 1/2
l = 4(1 1/2)
l = 6
Gabriella ran 6 laps on the track.
Which of the following is the graph of f (x + 3)?
Answer:
I'd say it's C... that's shift on x-axis and the plus symbolizes the shift in the minus "region" because that's swapped you count how many steps you have to go to get to the zero.
Compare data set A and data set B.
Set A: mean = 79.6, standard deviation = 9.8
Set B: mean = 79.6, standard deviation = 2.3
Answer:
Set A: mean = 79.6, standard deviation = 9.8
Step-by-step explanation:
Set A has a larger spread of data.
If Set A: mean = 79.6, standard deviation = 9.8 and Set B: mean = 79.6, standard deviation = 2.3 then set A has larger spread of data compared to set A.
What is Statistics?Statistics is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.
Given,
Set A:
mean = 79.6,
standard deviation = 9.8
Set B:
mean = 79.6,
standard deviation = 2.3
As we compare both set A and set B the mean of set A and set B are same whereas set A has more standard deviation than set B.
As Standard deviation is an important measure of spread or dispersion.
if the standard deviation is small, then this tells us that the results are close to the mean, whereas if the standard deviation is large, then the results are more spread out.
Set A has a larger spread of data.
Hence Set A has larger spread of data compared to set A.
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Chelsea is budgeting for her trip to the mall. She
does not want to spend any more than $140. If
she wants to buy a dress that costs $28.50 and
I some shirts that cost $20.75 each, how many
shirts can she buy? Use the inequality to help
solve the problem.
140 > 28.50 + 20.75x
Answer:
Chelsea can buy 5 shirts.
Step-by-step explanation:
Subtract 28.50 from 140. This is because subtraction is the inverse of addition, so it will cancel out. 111.50 > 20.75xDivide both sides by 20.75. Division is the inverse of multiplication. 5.3734939759 > xYou can't split shirts when buying them, so Chelsea can buy 5 shirts.
what the number 820.681 in expanded form using powers of 10
Answer:
[tex]820.681 = 8 \times 10^2 + 2 \times 10^1 + 6 \times 10^{-1} + 8 \times 10^{-2} + 1 \times 10^{-3}[/tex]
Step-by-step explanation:
[tex]820.681 = 8 \times 100 + 2 \times 10 + 6 \times 0.1 + 8 \times 0.01 + 1 \times 0.001[/tex]
[tex]820.681 = 8 \times 10^2 + 2 \times 10^1 + 6 \times 10^{-1} + 8 \times 10^{-2} + 1 \times 10^{-3}[/tex]
Find the unit rate. Round your answer to the nearest hundredth.
3500 calories for 6 servings of pie
Find 6,650/35. please help me i tried using calculator but it put 0.19
Answer:
113
i did it in the caculater and this is what showed.
Answer:
That's odd, the actual answer is 6650 / 35 = 190
Good luck! Hope this helped :)
You have piano lessons every fourth day and guitar lessons
every sixth day. Today you have both lessons. In how many days will
you have both lessons on the same day again? Show your work.
Reupload please help this is due in 2 hours DONT ANSWER IF U DONT KNOW:)
Express each ratio as a fraction in the simplest form
12 blue cars out of 48 cars
If a 150-pound teenager eats 5.5 pounds of food per day, is that proportional to a 250-pound panda eating 40 pounds of bamboo a day? Explain your answer.
Answer: No It's not proportional as the constant of proportionality for both of them.are different.
Step-by-step explanation:
For the first part of the question, a 150-pound teenager eats 5.5 pounds of food per day, we've to calculate the constant of proportionality. This will be:
y = kx
150 = 5.5k
k = 27.27
For the second part of the question, a 250-pound panda eats 40 pounds of bamboo a day. we've to calculate the constant of proportionality. This will be:
y = kx
250 = 40k
k = 250/40
k = 6.25
This shows that the 150-pound teenager eats 5.5 pounds of food per day, is not proportional to a 250-pound panda eating 40 pounds of bamboo a day because th e value of k are different.
I need 5 lines that have a positive slope
Answer:
y=5x+3
y=2x-6
y=(2/3)x+8
y=100x-15
y=10x-2990
Step-by-step explanation:
The equation of a line is y=mx+b, where m is the slope and b is the intercept. As long as m is positive and you plug something in for b, it can be used to answer your question.
Suppose babies born in a large hospital have a mean weight of 3831 grams, and a variance of 108,900. If 65 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would be less than 3882 grams? Round your answer to four decimal places
Answer:
0.8944
Step-by-step explanation:
We start by calculating the z-score
To calculate the z-score, we shall need the standard deviation
Mathematically, standard deviation is square root of variance
that will be; SD = √108,900 = 330
Formula for z-score is;
x-mean/SD/√n
where n is 65 in this case
z-score = (3882-3831)/330/√65 = 1.25
The probability we want to calculate is;
P( X < 1.25)
we can use the standard normal distribution table for this
Using the table;
P( X < 1.25) = 0.89435 which is 0.8944 to 4. decimal places
Answer:
0.8944
Step-by-step explanation:
$12.50 for 5 ounces Write a unit rate for the situation.
Answer:
$2.50 per ounce
Step-by-step explanation:
12.50÷5= 2.50
Answer:
$2.50c
Step-by-step explanation:
Monica weighed 135 pounds before she started a 3 week diet for her cruise. She lost 18 pounds in the first 2 weeks then gained 5 pounds back the last week. Choose the answer below that correctly identifies how much Monica weighed when she left for her cruise.
A.
112 pounds
B.
104 pounds
C.
140 pounds
D.
122 pounds
Answer:
D.
Step-by-step explanation:
135 - 18 = 117 + 5 = 122
Answer:
D. 122 pounds
Step-by-step explanation:
135-18=117
117+5=122
Create a 5th degree trinomial that has a constant term of 3.
Answer:
[tex]4x^5\:+\:9x^2\:+\:3[/tex] is a trinomial having three terms, with degree 5 and the constant term '3'.
Step-by-step explanation:
Considering the trinomial
[tex]4x^5\:+\:9x^2\:+\:3[/tex]
As the polynomial contains 3 terms, so it is a trinomial.
As the highest power of the variable 'x' is 5, so the degree of this polynomial is 5.
Any term with no variable is called a constant term. so, 3 is a term with no variable. Therefore, the constant term is 3.
Therefore, [tex]4x^5\:+\:9x^2\:+\:3[/tex] is a trinomial having three terms, with degree 5 and the constant term '3'.
What is the value of 6(2b-4) when b =5
Answer:
Step-by-step explanation:
6(2b-4) sub 5 for b
6(2(5)-4)
6(10-4)
60-24
36
f (x) = 2x3 + x2 - 7x + 1 has
Answer: (x + 2) • (x - 1) • (2x - 3)
Step-by-step explanation:
Brianna bought a bicycle for $275.It is now on sale for $150. Find the percent of change of change in the price. Round to the nearest percent.
Answer:
45%
Step-by-step explanation:
First we find the difference between the prices,
[tex]275-150[/tex]
is 125
and
[tex]125/275=0.454545454545.....[/tex]
which in percentage is
[tex]45.4545454...[/tex]
and that rounds to 45%
Solve 3.8 = 2x - 11.2.
X=__
Answer:
x= 15/2 im pretty sure
Step-by-step explanation:
We want to solve the given linear equation, we will find that the solution is x = -3.7
Solving linear equations:
Here we have the equation:
3.8 = 2*x - 11.2
We want to solve this for x, so we can start by subtracting 11.2 in both sides to get:
3.8 - 11.2 = 2*x
-7.4 = 2*x
Now we can divide both sides by 2:
-7.4/2 = x = -3.7
So the solution is x = -3.7
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jack is paid £1800 a month. he spends half his money on rent. he spends the rest on food, bills and savings in the ratio 4:3:2 how much does he spend on bills?
Answer:
£300.
Step-by-step explanation:
He has £900 left after paying rent.
The fraction he spends on bills = 3(4+3+2)
= 3/9
= 1/3.
So he spends 900 * 1/3 = £300 on bills.
Z-5=8 what is the answer
Answer:
z = 13
hope it helps ;))
HELP PLEASE!!! STATISTICS
Answer:
its b
Step-by-step explanation:
its b i for some reason got it right
what is the nearest integer of 3^ square root 74
Answer:
74
Step-by-step explanation:
Questlon 2 of 10
The amount of time between interest payments is known as:
A. simple interest.
B. interest.
C. principal.
D. period
SUBMIT
Answer: D) Period
You could refer to this as the time period. Usually the time period is in months. So you make monthly interest payments, often with the principal mixed in somewhat.
WHAT IS A TAPE DIAGRAM AND WHAT DOES IT LOOK LIKE?
Answer:
A rectangular visual model resembling a piece of tape with divisions used to assist mathematical calculations. Also known as a divided bar model, fraction strip, length model or strip diagram. In mathematics education, it is used to solve word problems.
Step-by-step explanation:
Answer:
Tape diagrams are visual models that use rectangles to represent the parts of a ratio.
Here's what it looks like