Answer:
m/5=15
Step-by-step explanation:
Since Jack was solving m/5 problems per day, the equation to solve this would be the one given above.
The equation that represents the situation is m = 75x.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
If Jack solved m math problems in 5 days by solving the same number of problems every day, then he solved m/5 problems per day.
Now suppose Jack was solving 15 problems per day.
We want to find out how many problems he had to solve in total, so we can set up an equation using these two pieces of information:
15x = m/5
Here, x represents the number of days Jack took to solve all the problems.
We can solve for m by multiplying both sides of the equation by 5:
75x = m
So the equation we get is:
m = 75x
Therefore, this equation relates the total number of math problems Jack had to solve (m) to the number of days he took to solve them (x), given that he solved 15 problems per day.
To learn more about the equation;
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What's the median for 0 2 4 6 8 10
Answer:
5 would be the midian
Step-by-step explanation:
You would need to add 0+2+4+6+8+10
Then count how many numbers there are (6)
Then put it in a fraction
30/6
Then divide and then you get 5
Answer:
21,67
Step-by-step explanation:
0+2+4+6+8+10 all divided by numbers in the set data[6]=21,67
Work out
(4 x 10-6) - (2 x 10-8)
Give your answer in standard form.
Answer:
20x + 2
Step-by-step explanation:
solve by using properties of whole number
a,16×25×10×4 b,49×99
Answer:
Step-by-step explanation:
a.16×25×10×4
= 100 * 160
= 16,000
b,49×99
= 49 * 100 - 49
= 4900 - 49
= 4,851.
I really need help thank you!
10 points
Step-by-step explanation:
sum of angles in ∆ = 180
48+6x-28+2x = 180
20+4x = 180
4x = 160
x = 40
b = 212
c = 80
The graph of a system of two linear equations is a pair of
lines that intersect at the origin. Which statement is true of
the system?
Answer:
They both have a y intercept of 0
Step-by-step explanation:
Linear equations are written in the form y = mx + b. m is the slope and b is the y-intercept. It also states that they intersect at the origin, so they must have a y-intercept of 0.
(5x+30)=7x ??
Can anyone help me
Answer:
the answer is x=15.....
Answer:
Step-by-step explanation:
(5x+30)=7x Subtract 7x from both sides. 5x+30−7x=0 Combine 5x and −7x to get −2x. −2x+30=0 Subtract 30 from both sides. Anything subtracted from zero gives its negation. −2x=−30 Divide both sides by −2. x= −2 −30 Divide −30 by −2 to get 15. answer should be x=15
Alge
If the number of bacteria in a colony doubles every 203 minutes and there is currently a
population of 40 bacteria, what will the population be 812 minutes from now?
bacteria
Submit
Answer:
640 Bacteria
Step-by-step explanation:
First, find out how many times the population will double. Divide the number of minutes by how long it takes for the population to double.
812÷203=4
The population will double 4 times.
Now figure out what the population will be after it doubles 4 times. Multiply the population by 2 a total of 4 times.
402222=640
That calculation could also be written with exponents:
4024=640
After 812 minutes, the population will be 640 bacteria.
find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=10 \end{cases}\implies \begin{array}{llll} V=\pi (5.7)^2(10)\implies V=324.9\pi \\\\\\ V\approx 1020.7 \end{array}[/tex]
MATH which graph has an axis of symmetry at x=-1
How would you use the formula "V = BH" to find the volume of a tent? Explain.
Explanation:
The volume formula ...
V = BH
is a formula for the volume of a general prism whose cross sections parallel to the base all have area B. The distance between the parallel bases is represented by H.
__
To use this formula to find the volume of a tent, the area of the end of the tent would be substituted for B, and the length of the tent (distance between the ends) would be substituted for H.
An appropriate formula would need to be used for the end area.
A credit card company receives numerous phone calls throughout the day from customers reporting fraud and billing disputes. Most of these callers are put “on hold” until a company operator is free to help them. The company has determined that the length of time a caller is on hold is normally distributed with a mean of 2.5 minutes and a standard deviation 0.5 minutes. If 1.5% of the callers are put on hold for longer than x minutes, what is the value of x?
Using the normal distribution, it is found that the value of x is of 3.585.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of XIn this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 2.5, \sigma = 0.5[/tex].
The value of x is the 100 - 1.5 = 98.5th percentile, which is X when Z = 2.17, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.17 = \frac{X - 2.5}{0.5}[/tex]
[tex]X - 2.5 = 0.5(2.17)[/tex]
[tex]X = 3.585[/tex]
Hence the value of x is of 3.585.
More can be learned about the normal distribution at https://brainly.com/question/24663213
If a fair die is rolled 5 times, what is the probability, to the nearest thousandth, of getting exactly 3 ones?
Answer:
0.1317
Step-by-step explanation:
You are studying economic development in a small developing country. You do not have individual income data but you do have counts of how many people fall into various intervals such as 0-500, 501-1000, etc. You want a display that shows the shape of the income distribution. You should make a
A. Scatter plot
B. Pie chart
C. Bar chart
D. Histogram
Lois made a dish with 3 1/3 cups of pasta. One serving of the pasta is 0.4 cups. How many servings of pasta were in the dish Lois made?
Answer:
8 3/4
Step-by-step explanation:
because each serving is 04 cups all you need to do is divide 3 1/2 by 0.4.
first convert 3 1/2 into decimal which would be 3.5. then divide 3.5 by 0.4
3.5/0.4
=3.5x10/0.4x10
=35/4
=8 3/4
If it is known that a and b are positive integers and that a-b=2 evaluate the following.
9 1/2^b/3^a
The value of the expression such that a and b are integers is 1/9
Indices and exponentsAn exponential function is a mathematical function in the form y = ab^x
Given the indices expression
[tex]\frac{(9\frac{1}{2} )^b}{3^a}[/tex]
This can be simplified as:
[tex]=\frac{(3^{2*\frac{1}{2}} )^b}{3^a}\\=\frac{3^b}{3^a}[/tex]
According to the law of indices, the expression will becomes;
[tex]\frac{3^b}{3^a} =3^{b-a}[/tex]
Recall that a - b = 2, such that b - a = -2. Substitute into the result to have:
[tex]\frac{3^b}{3^a} =3^{b-a}\\3^{b-a}=3^{-2}\\3^{b-a}=1/9[/tex]
Hence the value of the expression such that a and b are integers is 1/9
Learn more on indices here: https://brainly.com/question/10339517
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
160
Step-by-step explanation:
FEJ angle is the large angle and the number in red shows how big it is. Remember the whole thing is 180 degrees.
To save money for his daughter's college tuition, Pablo invests $279 every quarter in an annuity that pays 6% interest, compounded quarterly. Payments will be made at the end of each quarter. Find the total value of the annuity in 22 years. Do not round any intermediate computations, and round your final answer to the nearest cent
[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the end of the period}}{\textit{Future Value of an ordinary annuity}} \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right] \\\\\\ ~~~~~~ \begin{cases} A=\textit{accumulated amount}\\ pymnt=\textit{periodic payments}\dotfill &279\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &22 \end{cases}[/tex]
[tex]A=279 \left[ \cfrac{\left( 1+\frac{0.06}{4} \right)^{4 \cdot 22}-1}{\frac{0.06}{4}} \right]\implies A=279\left[\cfrac{1.015^{88}~~ - ~~1}{0.015} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 50348.47~\hfill[/tex]
WORTH 1 POINT
GIVING 15 POINTS AWAY
HELP PLS!!!!
Answer:
y = 29
Step-by-step explanation:
Since it is a vertical angle, both angles represented by the equations are equal. Meaning we can set them equal to each other and find y by simplifying.
4y-8 = 79+y
-79 -79
4y-87 = y
-4y -4y
-87 = -3y
Divided by -3
29 = y
What is the value of the expression "two less than six times the difference of a number and five" when n = 9?
O22
O 16
O 32
O 31
The function f is defined as follows.
f(x) =5x² +8
If the graph off is translated vertically downward by 5 units, it becomes the graph of a function g.
Find the expression for g(x).
Answer:
g(x) = 5x² + 3
Step-by-step explanation:
8 units are added directly to each input so just subtract 5 from that to get + 3.
complete the squares
i wanted to ask what exactly the question is
??
what is the slope of the line pls help
Answer:
1/2
Step-by-step explanation:
The slope is the rise over the run, also known as the change in y value over the change in x value
m = 2/4 =1/2
We know it is positive since it goes up from the left to the right
For which values of k would the product of k/3 X 12 be greater than 12
Answer:
[tex]\text{k = 4, 5, 6, 7, 8... and onwards}[/tex]
Step-by-step explanation:
The product of k/3 and 12 be greater than 12.
⇒ k/3 × 12 > 12
The first step in determining the possible values of "k" is to simplify the left-hand-side (L.H.S) of the inequality.
⇒ (12 × k)/3 > 12
⇒ (12 ÷ 3) × k > 12
⇒ (4) × k > 12
The next step in determining the possible values of "k" is to isolate the variable. To do this, we can divide 4 both sides.
⇒ [4 × k]/4 > 12/4
⇒ k > 12/4
⇒ k > 3
To satisfy the inequality, the value of k must be greater than 3. Thus, the values of k could be [tex]\text{4, 5, 6... }[/tex] and so on.
fill in the missing values of the following number patterns
a) 24;12;0;__ ; __
b) -36; -25; -16; __; __
Answer:
A) 24;12;0;-12;-24 because the numbers are gradually going down and they go into the negatives which means they repeat the numbers in the beginning.
B)-36;-25;-16;-9;-4 i am uncertian on this one but i think im doing it right.
What's the value of x in the equation -6 + x = -4?
Brainliest to best and quickest answer!
Answer:
[tex]\boxed{\sf{x=2}}[/tex]Step-by-step explanation:
To find the value of x, isolate it on one side of the equation.
→ -6+x=-4First, add by -6 from both sides.
→ -6+x+-6=-4+6
Solve.
→ -4+6=2
x=2
Therefore, the correct answer is x=2.I hope this helps you! Let me know if my answer is wrong or not.
Acontainer ship left Hawaii and traveled
toward Tahiti at an average speed of 25
km/h. An aircraft Cimier left sometime
later traveling in the opposite direction
with an average speed of 25 km/h. After
the container ship had traveled for six
hours the ships 200 km apart Find
the number of hown heraft carrien
hohe
Answer:
Step-by-step explanation:
-lukelaws
did i help?
HELP MEEEEE
Write the equation for each translation of the graph y=|1/2x-2|+3
one unit to the right
You and your friend are standing on the baseline of a
basketball court. You bounce a basketball to your friend, as shown in the diagram. What is the
distance between you and your friend? Round your answer to the nearest tenth.
The distance between you and your friend rounded to the nearest tenth is 10.7 feet.
How to find the length of a triangle using cosine rule?The distance between you and your friend can be found using cosine rule.
Therefore,
c² =a² + b² - 2ab cos C
Therefore,
let
x = distance between him and his friend
x² = 7² + 6² - 2 × 7 × 6 cos 110°
x² = 49 + 36 - 84 × -0.34202014332
x² = 49 + 36 + 28.7296920394
x² = 113.729692039
x = √113.729692039
x = 10.6644124076
x = 10.7 ft
learn more on triangle here: https://brainly.com/question/2838446
Help picture below problem 4
Answer:
The answer is A
Step-by-step explanation:
A pentagon is a polygon that has 5 sides and 5 vertices.
How many times larger is 450.000,000 than 4,500?
100
1,000
10,000
100,000
Answer:
100,00
Step-by-step explanation:
In order to find this, you would divide 450,000,000 by 4500. You would then get the final answer of 100,000. Hope this helps!