The number of minutes that would pass before they were 1870 feet apart is 5.47 minutes
Since one student runs at a speed of 180 feet per minutes, in time t minutes, he moves a distance of d = 180t.Also, the second student runs at a speed of 160 feet per minute, in time t minutes, he moves a distance of d' = 160t.
Since they are initially 10 feet apart, their total distance apart after t minutes is D = d + 10 + d'
D = 180t + 10 + 160t
D = 340t + 10
Number of minutes before they are 1870 feetMaking t subject of the formula, we have
t = (D - 10)/340
Since they are 1870 feet apart after t minutes, D = 1870 feet.
t = (D - 10)/340
t = (1870 - 10)/340
t = 1860/340
t = 5.47 minutes
So, the number of minutes that would pass before they were 1870 feet apart is 5.47 minutes
Learn more about minutes of distance apart here
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99 PTS PLS HELP! Community volunteers helped clean 7 local parks. They each recorded the number of garbage bags they filled and arranged their data from least to greatest. The number of bags filled was 1, 2, 2, 3, 4, 4, and 5. The mean number of garbage bags filled was 3.
What is the MAD (mean absolute deviation) rounded to the nearest tenth?
1.1
1.3
2.3
3.0
Answer: 1.1
Step-by-step explanation:
To find the MAD (mean absolute deviation) we subtract the mean from each data value, and take the absolute value. Then we take the average of all the values. It looks like this:
1 - 3 = -2 -> |-2| = 2
2 - 3 = -1 -> |-1| = 1
2 - 3 = -1 -> |-1| = 1
3 - 3 = 0
4 - 3 = 1
4 - 3 = 1
5 - 3 = 2
-
[tex]\frac{2+1+1+0+1+1+2}{7}[/tex]
[tex]\frac{8}{7}[/tex]
1.14
The mean absolute deviation is about 1.1
a/-3=18 what does a equal?
Answer:
I believe a is equal to -54
Lyle creates a peach dye by mixing 8 ounces of white dye with 5 ounces of orange dye. He wants to know how much orange dye he needs to use if he needs a total of 195 ounces of peach dye.
Answer: 121.875 ounces of orange dye
Step-by-step explanation: 8 ÷ 195 = 24.375
24.375 x 5 = 121.875
Since the inverse of a trigonometric function asks to name the angle given its value, are either or both of these correct? Give a reason for your answer. Tell why both are correct, or tell why both are incorrect, or tell why only 1 or the other is correct.
Sin¯¹ (1/2) = 30°
and Sin¯¹ (1/2) = 150°
Answer:
Statement 1 is correct.
Step-by-step explanation:
Inverse sign is only defined from -90° to 90° therefore statement 2 is false.
Uncle Jack cut 3.8 m of a 8 m-long wood to make a shelf. What percent of the wood did Uncle Jack cut to make the shelf?
Answer:
47.5%
Step-by-step explanation:
3.8/8.0 x 100
= 47.5%
Uncle Jack used 47.50 percent of the wood he cut to create the shelf.
What is the percentage?The percentage can be described as a quarter of 100. The phrase % decodes to one hundred percent. It is represented by the symbol '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Uncle Jack cut 3.8 m of 8 m-long wood to make a shelf.
Then the percentage of the wood that Uncle Jack cut to make the shelf will be given as,
P = (3.8 / 8) x 100
P = 0.475 x 100
P = 47.50%
The percentage of the wood that Uncle Jack cut to make the shelf will be 47.50.
More about the percentage link is given below.
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The pentagonal prism below has a height of 7.2 units and a volume of 309.6 units,
Find the area of one of its bases.
Answer:
Step-by-step explanation:
Volume of pentagonal prism = 309.6 cubic units
h = 7.2 units
[tex]\boxed{\text{Area of one of the base= $\dfrac{Volume}{h}$}}[/tex]
[tex]\sf=\dfrac{309.6}{7.2}\\\\= 43 \ square \ units[/tex]
What is the volume of this figure?
Enter your answer in the box.
yd³
A right rectangular prism with a trapezoidal prism. The rectangular prism has a length of 30 yards, a width of 9 yards, and a height of 7 yards. The trapezoidal prism shares a face with the rectangular prism. The trapezoid base has lengths of 30 yards and 19 yards and a height of 10 yards. The height of the trapezoidal prism is 9 yards.
Answer:
the answer is 4095
Step-by-step explanation:
Answer: 4095
Step-by-step explanation: that one person was right
with proof
1. Determine the correlation coefficient for the following data.
4 8 10 9 11 6
y 1.6 2.4 2.0 2.6 2.1 2.2
Х
Answer:
mm what's that?
Step-by-step explanation:
wala akong pake char
After 2 years, a certain car is worth $16600. When it is 9 years old, the same car is then worth
$9950.
Find the equation of the line in this situation.
Identify the slope for this situation and interpret it.
Identify the y - intercept for this situation and interpret it.
Identify the x - intercept for this situation and interpret it.
The linear function that describes the situation is:
y = -950x + 18500.
The slope of -950 means that the price of the car decays $950 per year.The y-intercept of 18500 means that the initial value of the car is of $18,500.The x-intercept of 19.47 means that the value of car is of $0 after 19.47 years.What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, in 7 years, the price of the car decays by $6,650, hence the slope is given by:
m = -6650/7 = -950.
The slope of -950 means that the price of the car decays $950 per year.
Then, the equation is:
y = -950x + b.
After 2 years, a certain car is worth $16600, hence when x = 2, y = 16600, and:
16600 = -950(2) + b
b = 18500.
The equation is:
y = -950x + 18500.
The y-intercept of 18500 means that the initial value of the car is of $18,500.
The x-intercept is found when y = 0, hence:
-950x + 18500 = 0.
x = 18500/950
x = 19.47.
The x-intercept of 19.47 means that the value of car is of $0 after 19.47 years.
More can be learned about linear functions at https://brainly.com/question/24808124
A coffee shop recently sold 12 drinks, including 5 Americanos. Considering this data, how many of the next 96 drinks sold would you expect to be Americanos?
40 America-nos
Explanation:
5 America-nos : 12 drinks5 : 12make proportional equation
5/12 = A/96A = 40Answer:
40 AmericanosStep-by-step explanation:
Use ratios
5/12 = x/96Solve for x
x = 96*5/12x = 40Find the value of x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth.
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{24+x}\\ a=\stackrel{adjacent}{24}\\ b=\stackrel{opposite}{32}\\ \end{cases}\implies (24+x)^2~~ = ~~24^2+32^2 \\\\\\ (24+x)(24+x)~~ = ~~24^2+32^2\implies \stackrel{F~O~I~L}{24^2+48x+x^2}~~ = ~~24^2+32^2 \\\\\\ 48x+x^2=32^2\implies x^2+48x-32^2=0\implies x^2+48x-1024=0 \\\\\\ (x-16)(x+64)=0\implies x= \begin{cases} 16~~\textit{\Large \checkmark}\\\\ -64 \end{cases}[/tex]
notice, we didn't use -64, since the value of "x" must be a positive value.
what is the sum of the factors for the number 18
Answer: 39
Step-by-step explanation:
The factors of 18 are: 1, 2, 3, 6, 9, 18
Add them together, and you get your answer.
i know the answers but my calculations won't provide them and i need to know what work to show
the answers are
a) x^2+7x+10
b) x^2-x-6
[tex]a)\\\\(x+2)(x+5)\\\\=x(x+5) + 2(x+5)\\\\=x^2+5x+2x+10\\\\=x^2+7x+10\\\\\\b)\\\\(x+2)(x-3)\\\\=x(x-3)+2(x-3)\\\\=x^2-3x+2x-6\\\\=x^2-x-6[/tex]
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
1a) (x + 2)(x + 5)
⇒ (x × x) + (5 × x) + (2 × x) + (2 × 5)
⇒ (x²) + (5x) + (2x) + (10)
⇒ (x²) + (5 + 2)x + (10)
⇒ (x²) + (7)x + (10)
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
1b) (x + 2)(x - 3)
⇒ (x × x) + (-3 × x) + (2 × x) + (2 × -3)
⇒ (x²) + (-3x) + (2x) + (-6)
⇒ (x²) + (-3 + 2)x + (-6)
⇒ x² + (-1)x - 6 = x² - x - 6
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Consider the function RX) = 3x + 1 and the graph of the function g(x) shown below.
у
4
6
4
2
X
-6 -4
- 2
12
4
6
-2
4
6
The graph g(x) is the graph of f(x) translated
✓ units
✓, and g(x) =
Step-by-step explanation:
f(x) goes through the point (0, 1).
g(x) goes through (2, 1) for the same y value.
that means g(x) is f(x) translated 2 units to the right.
but we could also look at the same x value (0).
then g(x) goes through (0, -5).
and that means g(x) is f(x) translated 6 units down.
since it is a line function, shifting it left/right or up/down makes no difference to the shape or position of the new curve itself.
as it looks like you don't have 6 in the drop-down menu, then 2 units (to the right) is the desired correct result.
that means g(x) = f(x-2) = 3(x-2) + 1 = 3x - 6 + 1 = 3x - 5
and that is what the graph is showing us.
pls answer the blanks
Answer:
mention the blanks please...if u mention iam ready to answer
For questions 3 and 4, you will be answering by filling in the blanks. Please be aware that your answer must include any commas or decimals in their proper places in order to be correct. The dollar signs have been provided. For example, if the answer is $1,860.78, then you will enter into the blank 1, 860.78. Do not place any extra spaces between numbers, commas, or decimal places. Round any decimals to the nearest penny when the answer involves money, so that $986.526 would be typed into the blank as 986.53 and $5,698.903 would be typed into the blank as 5,598.90. You will need to use the labor statistics document to answer the following questions.
A. What is your weekly median income if you are a female with an advanced degree?
B. What is your yearly median income if you are a male with an associate's degree?
C. What is your yearly median income if you are a female with an associate's degree?
Based on the given statistics, the weekly median income for a female with an advanced degree would be $901.
The yearly median income for a male with an associate degree would be $36,432.
The yearly median income for a female with an associate degree would be $27,744.
What is the weekly median income for a female with an advanced degree?An advanced degree would be a postgraduate degree like a masters so the weekly median income would be $901.
What is the yearly median income for a male with an associate degree?This can be found as:
= Weekly median income x 4 weeks in month x 12 months in year
= 759 x 4 x 12
= $36,432
What is the yearly median income for a female with an associate degree?= Weekly median income x 4 weeks in month x 12 months in year
= 578 x 4 x 12
= $27,744
Find out more on median weekly incomes at https://brainly.com/question/3318597.
Answer:
Answer above is wrong
Step-by-step explanation:
Can't tell you how to get the answers but these are correct after i failed from the person above.
3. 1,323
4. 49,452.00
5. 37,284.00
solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
thankyou ~
Answer:
x=3,2
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Answer:
Step-by-step explanation:
Sum = coefficient of x = -5
Product = constant * coefficient of x² = 1 * 6 = 6
Factors = (-2) , (-3)
When we multiply, (-2)*(-3) we get = +6 and we add (-2) + (-3) = -5
Using this factors rewrite the middle terms
x² - 5x + 6 = 0
x² - 3x - 2x + (-2)*(-3) = 0
x(x - 3) - 2(x - 3) = 0
(x - 3)(x-2)=0
x - 3 = 0 ; x -2 =0
x = 3 ; x = 2
Solution: x = 2 , 3
what is 10 1/2 minus 5 2/3
write as a mixed number and reduce to lowest terms
Answer:
4 5/6
Step-by-step explanation:
10 1/2 - 5 2/3
5 3/6- 4/6
4 9/6-4/6
4 5/6
In the diagram, ABCD is a parallelogram. Write an argument to support the claim that
M x = M y
The angles m∠x = m∠y because alternate interior angles are equal.
What is a parallelogram?A parallelogramis a quadrilateral in which opposite sides are equal and parallel to each other.
The opposite angles are also congruent, whereas consecutive interior angles are supplementary.
In the quadrilateral ABCD:
m∠x = m∠y (alternate interior angles are equal)
The angles m∠x = m∠y because alternate interior angles are equal.
Find out more on parallelogram at: https://brainly.com/question/970600
Please help me understand the problem
Answer:
y = 60 :)
Step-by-step explanation:
Triangle angle total measure: 180
We need to add upp the angles we know and subtract from the total 180, so we can figure out y.
60 + 60 + y = 180
120 + y = 180
180 - 120 = 60
y = 60
Now you know how to solve this type of problem!
Have a great day!!
Please rate and mark brainliest!!
Answer:
The value of y should be 60
Step-by-step explanation:
Tell me if its not right
The number 28,363,775 rounded to the nearest ten thousand is
Answer:
50,000
Step-by-step explanation:
Just put it in the answer lol :p
Answer:
28,360,000
Step-by-step explanation:
The number after the 6 (the ten thousands is 3, so it rounds down to 28, 360, 000.
please give brainliest!
Arrange the following from greatest to least value, 20% of 100, 20% of 500, 5% of 100 justify your reasoning
Answer:
20% of 500, 20% of 100, 5% of 100
Step-by-step explanation:
20% of 100 = 20
20% of 500 = 100
5% of 100 = 5
I HAVE ATTACHED THE QUESTION
Answer:
x=1.5 and x= -1.5
Step-by-step explanation:
thats where the graph crosses the x axis (which basically is y=0)
Answer:
Step-by-step explanation:
x² - 2 = y
x² - 2 = 0
x² = 2
x = √2
x = ±1.4
How do I solve it? URGANT!!!
Answer:
Step-by-step explanation:
KL = JK, so ΔJKL is an isocesles triangle, then m∠J = m∠L
KL is a tangent line, so ∠JKL = 90°,
so m∠J = 45°
Some students are sharing pens among themselves. If each gets 5, no pens will be left. If each gets 3, 12 pens will be left. How many students are there?
Answer:
6 students
Step-by-step explanation:
Let x = number of students
Let y = total number of pens
Given:
If each student gets 5 pens, no pens will be left⇒ 5x = y
Given:
If each students gets 3, 12 pens will be left.⇒ 3x = y - 12
Substitute 5x = y into 3x = y - 12 and solve for x:
⇒ 3x = 5x - 12
⇒ 12 = 5x - 3x
⇒ 2x = 12
⇒ x = 6
Therefore, there are 6 students.
Tara will draw a scale model of the garden
she wants to plant. Her scale will be 1 cm. =
2.5 ft.
4 cm.
8.5 cm
What will be the actual dimensions of Tara's
garden?
A. 1.6 ft. by 3.4 ft.
B. 4 ft. by 34 ft.
C. 8 ft. by 34 ft.
D. 10 ft. by 21.25 ft.
Pls explain how u got the answer!
Answer:
D.
Step-by-step explanation:
We know that each centimeter is equal to 2.5 feet. The way I solved it was this.
We start with the 4cm. We can multiply 4×2.5, and that gives us 10 feet. We can do 8.5×2.5, and that will equal 21.25 feet. So the final and correct answer is D. 10 feet by 21.25 feet
need help with math problm i give 5 star and brainly point
Answer:
59.5 here 4 minute late but i hope it helps
Step-by-step explanation:
Help picture below problem
Answer:
∠s = ∠v
Step-by-step explanation:
Supplementary angles add up to 180°
∠s + ∠v = 180
90 + ∠v = 180
∠v = 180 - 90
∠v = 90°
⇒∠s ≅ ∠v
Write the fraction in simplest form.
12x^2/28x
Answer: (-6x - 5) • (2x + 3)
Step-by-step explanation:
((0 - (22•3x2)) - 28x) - 15
Pull out like factors :
-12x2 - 28x - 15 = -1 • (12x2 + 28x + 15)
Trying to factor by splitting the middle term
3.2 Factoring 12x2 + 28x + 15
The first term is, 12x2 its coefficient is 12 .
The middle term is, +28x its coefficient is 28 .
The last term, "the constant", is +15
Step-1 : Multiply the coefficient of the first term by the constant 12 • 15 = 180
Step-2 : Find two factors of 180 whose sum equals the coefficient of the middle term, which is 28 .
-180 + -1 = -181
-90 + -2 = -92
-60 + -3 = -63
-45 + -4 = -49
-36 + -5 = -41
-30 + -6 = -36
-20 + -9 = -29
-18 + -10 = -28
-15 + -12 = -27
-12 + -15 = -27
-10 + -18 = -28
-9 + -20 = -29
-6 + -30 = -36
-5 + -36 = -41
-4 + -45 = -49
-3 + -60 = -63
-2 + -90 = -92
-1 + -180 = -181
1 + 180 = 181
2 + 90 = 92
3 + 60 = 63
4 + 45 = 49
5 + 36 = 41
6 + 30 = 36
9 + 20 = 29
10 + 18 = 28 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 10 and 18
12x2 + 10x + 18x + 15
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (6x+5)
Add up the last 2 terms, pulling out common factors :
3 • (6x+5)
Step-5 : Add up the four terms of step 4 :
(2x+3) • (6x+5)
Which is the desired factorization
Answer: (-6x - 5) • (2x + 3)
Ahmed drive his car 4 hours continuously as average 80 Km/hr .if his speed was 60 Km in the 1st hour, 90 Km in the 2nd hour and 100 Km in the 3rd hour .Find his speed in the 4th hour ?
Answer:
I would say 120 but that could be also be wrong but ill go with 120