Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The younger sibling can run at a constant speed of 7 feet per second. If the younger sibling is given a 32-foot head start in the race, how long will it take the older sibling to catch the younger sibling, and how far will the older sibling have run at that moment?(1 point)
The older sibling will catch the younger sibling after ___ second(s) and running___feet.
Answer:
8 seconds after running 88 feet
Step-by-step explanation: this is what it told me the answer was
Answer:
The older sibling will catch the younger sibling after 8 second(s) and running 88 feet.
Step-by-step explanation:
Older Sibling: 11ft 22ft 33ft 44ft 55ft 66ft 77ft 88ft
Younger Sibling: 32ft 39ft 46ft 53ft 60ft 67ft 74ft 81ft
The younger sibling started at 32ft because of the headstart. Each number was after 1 second. So this means it took 8 seconds for the older sibling to get to 88ft, and it took 8 seconds to get the younger sibling to 81ft.
I hope you can understand. :)
Evaluate 3x-(5x-1)-3(2x-10)
Answer:
-8x + 31
Step-by-step explanation:
Hope it helps, have a great day
Whitney has 20 coins in her purse. Some are quarters and some are dimes. The total value of the coins is $3.35. How many quarters does Whitney have?
Answer:
I think it's 15 Quarters.
Step-by-step explanation:
The required number of dimes and quarter Whitney has is 11 and 9 respectively.
Given that,
Whitney has 20 coins in her purse. Some are quarters and some are dimes. The total value of the coins is $3.35. The number of quarters Whitney have is to be determined.
Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Let the number of dimes be x and the number of quarters be y,
According to ot the question,
x + y = 20
x = 20 - y - - - - (1)
and
0.1x + 0.25y = 3.35
From equation 1
0.1[20 - y] + 0.25y = 3.35
y = 9
Now,
x = 20 - 9
x = 11
Thus, the required number of dimes and quarters Whitney has is 11 and 9 respectively.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ2
there are 36 playing tag at recess. this is 6 times as many playing hopscotch. which model shows this comparison?
i got the top one to the left (checking my answer)
Answer:
The top left one is correct.
Step-by-step explanation:
We can rewrite this as an algebraic expression simply so it's easier to read.
Let's say hopscotch is [tex]h[/tex]. Tag is 6 times [tex]h[/tex], or [tex]6h[/tex].
That means for every 1 unit of hopscotch, there are 6 units of tag.
The top left one is correct.
Solve for the monkey. Show all work ty
Answer:
Monkey: -5/2
Step-by-step explanation:
monkey = x
3x + 4 = -x - 6
3x + x = -6 - 4
4x = -10
4x/4 = -10/4
x = -5/2
Check:
3x + 4 = -x - 6
3(-5/2) + 4 = -(-5/2) - 6
-15/2 + 4 = 5/2 - 6
-15/2 + 8/2 = -3.5
-7/2 = -3.5
-3.5 = -3.5
Answer:
-2.5
Step-by-step explanation: 3x+4=-1x-6
+1x +1x
4x+4=-6
-4 -4
4x=-10
divide _ _
4 4 = -2.5
Hello can someone please help me. I'll give 50 points.
How many solutions will this system of equations have?
y = -3.5x - 3.5
y = -3.5x + 3.5
In 1850, there were 564 textile mills in New England states with a total of 61,893 workers. The average wmployment per textile mill was ?
Answer Choices
109
110
108
111
the area of a rectangle is 49.7cm2, and the width the rectangle is 3.5 cm what is the length rectangle cenimeters
Answer:
Answer = 14. 2
Step-by-step explanation:
Area of rectangle = length x breath
So, area here is = 49.7 cm2
Breath = 3.5 cm
49.7 = length x 3.5
Length = 49.7 ÷ 3.5
Length = 14.2 cm
y = 2x + 1
y = -2x + 1
y = -2x - 0.5
y = 2x - 0.5
have you seen how he answers questions? doesn't deserve to have people answer his
Step-by-step explanation:
How far is `10\%` of a `2,000`-kilometer trip?
f(x)= −2x^2 + 8x − 10
{Find } f(-4)
Answer:
simply you have to substitute (-4) for all the (x) terms-2x²+8x -10-2(-4)²+8×(-4)-10-2(16) - 32 -10-32 -32 - 10-74
Carmen deposits $4000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 3 years?
Answer:
$360
Step-by-step explanation:
I = Prt
I = 4000 * 3 * 3%
I = 12000 * 3% (Convert 9000 and 3% into fractions.)
I =12000/1 * 3/100 (100 and 12000 have a GCF of 100)
I = 120/1 * 3/1 (Disregard the over 1 portion.)
I = 120 * 3 (Multiply 120 by 3 to get 360.)
I = $360
what is the degree of x^6+4x-3
Answer:
1.2599
Step-by-step explanation:
Review: Key Concepts
.
The equation of a linear function in slope-intercept form is written as
y = mx + b, where mand b are real numbers, m is the
and b is the
y-intercept of the line
.
Changing the value of b moves the graph
or
Changing the value of m affects the
and whether the line
slopes up or down from left to right.
Answer:
m=slope
up or down
steepness
Step-by-step explanation:
Not really much to explain here you could've found this stuff on khan academy or math is fun to be honest lol
Answer:m =Slope
up or down
steepness
Step-by-step explanation:
PLEASE HELP ME WITH THIS ITS NOT EVEN HARD IM JUST REALLY LAZY
Answer:
1) 8
2) 2
3) 1
4) 4
5) skiing, snowboarding,ice skating, sledding
Step-by-step explanation:
Answer:
1.) 8
2.) 2 more people
3.) 1 less for skiing
4.) 4
5.) Skiing, Snowboarding, Ice skating, Sledding,
What is the solution to this equation?
X-8 = 15
Α. x= 17
Β. χ= 13
C. χ= 7
D. χ= 23
Answer:
D.) X=23
Step-by-step explanation:
cause you add 8 to each side then simplify and you get 23
Giving brainliest. 7th grade math
In the figure, x | y and a is a transversal that crosses the
parallel lines.
a
Which angle pair forms alternate exterior angles?
O 24 and 26
O 22 and 28
O 23 and 25
o 22 and 26
Answer:the answer is b
Step-by-step explanation:
HELP with this problem please
Answer: 2
Step-by-step explanation:that is the one that is used the most?
Does this graph show a function? Explain how you know.
Answer:
A
Step-by-step explanation:
It may look like it failed but it didn't. Nun of the points duplicate
There are 946 milliliters in a quart. There are 2 pints in a quart.
How many milliliters are in a pint?
Answer:
473
Step-by-step explanation:
I divided 946 and 2 and got 473. I'm not 100 percent this is correct but whatever
The perimeter of a rectangle is 120 centimeters. The base is 3 times the height. What are the dimensions of the rectangle? a. h = 9cm, b = 18 cm c. h = 15 cm, b = 45 cm b. h = 19 cm, b = 57 cm d. h = 10 cm, b = 15 cm
Answer:
[tex]Height = 15[/tex]
[tex]Base = 45[/tex]
Step-by-step explanation:
Given
Shape: Rectangle
[tex]Perimeter = 120cm[/tex]
[tex]Base = 3 * Height[/tex]
Required
Determine the dimensions
The perimeter of a rectangle is:
[tex]Perimeter = 2 * (Base + Height)[/tex]
Substitute 120 for Perimeter
[tex]120 = 2 * (Base + Height)[/tex]
Divide both sides by 2
[tex]60 = Base + Height[/tex]
Substitute 3 * Height for Base
[tex]60 = 3 * Height + Height[/tex]
[tex]60 = 3Height + Height[/tex]
[tex]60 = 4Height[/tex]
Divide both sides by 4
[tex]15 = Height[/tex]
[tex]Height = 15[/tex]
Substitute 15 for Height in [tex]Base = 3 * Height[/tex]
[tex]Base = 3 * 15[/tex]
[tex]Base = 45[/tex]
In the diagram the radius of the outer circle is 2x cm and the radius of the inner circle is 6 cm. The area of the shaded region is 160
let's find the area of the outer circle and the inside circle
the inside's circle area
A= π x 6²=36π
the outer's
A' = π x 4x²= 4πx²
A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.
The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results Instructor Number of Failures Prof. A 13 Prof. B 0 Prof. C 11 Prof. D 16 What are the .95 (5 percent risk of Type I error) upper and lower control limits for the p-chart
Answer:
Prof B and Prof D
Step-by-step explanation:
Step-by-step explanation:
From the question we are told that
Sample size 100
Instructor Number of Failures
Prof. A 13
Prof. B 0
Prof. C 11
Prof. D 16
Confidence level= 0.95
From Z table
Z=1.96
Generally proportion for failure is mathematically given as
[tex]Proportion\ of\ Failure\ P=\frac{Number\ of\ Failure\ N}{Sample\ size\ S}[/tex]
[tex]P=\frac{N}{S}[/tex]
For Prof A
[tex]P_A=\frac{N_A}{S}[/tex]
[tex]P_A=\frac{13}{100}[/tex]
[tex]P_A=0.13[/tex]
For Prof B
[tex]P_B=\frac{N_B}{S}[/tex]
[tex]P_B=\frac{0}{100}[/tex]
[tex]P_B=0[/tex]
For Prof C
[tex]P_C=\frac{N_C}{S}[/tex]
[tex]P_C=\frac{11}{100}[/tex]
[tex]P_C=0.11[/tex]
For Prof D
[tex]P_D=\frac{N_D}{S}[/tex]
[tex]P_D=\frac{16}{100}[/tex]
[tex]P_D=0.16[/tex]
Generally the average proportional failure is mathematically given as
[tex]P_a_v_g=\frac{0.13+0+0.11+0.16}{4}[/tex]
[tex]P_a_v_g=0.10[/tex]
Therefore having this we calculate for the control limits
Generally the upper control limit UCl is mathematically given as
Upper control limits:
[tex]UCL =P_a_v_g +Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]
[tex]UCL =0.1 +1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]
[tex]UCL =0.1 +1.96*0.03[/tex]
[tex]UCL =0.1 +0.0588[/tex]
[tex]UCL =0.1588[/tex]
Generally the upper control limit UCl is mathematically given as
Lower limit control limits:
[tex]UCL =P_a_v_g _Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]
[tex]UCL =0.1 -1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]
[tex]UCL =0.1 -1.96*0.03[/tex]
[tex]UCL =0.1 -0.0588[/tex]
[tex]UCL =0.0412[/tex]
Therefore the Range is 0.0412 to 0.1588
Given the range 0.0412 to 0.1588 Prof B and Prof D are outside the Range making them the correct options
ben made 14 field goal he made about 74% how many did he try
What is the probability of picking a yellow marble and a blue marble of the yellow marble is replaced ?
Answer:
50%
Step-by-step explanation:
Mr. Chu is slicing for cantaloupes his for his class there are 24 students in the class if Mr. Chu cuts the cantaloupes to make a equal portion for each student how many of the whole cantaloupe what each student get
Answer:
3 cantaloupes
Step-by-step explanation:
Since there are 24 students if you divide 24 by 3 it equals 8 so eat cantaloupe should be cut into 8 pieces. So, Mr.chu should buy 3 cantaloupes and cut each of the cantaloups in 8 equivalent slices for the students.
need help 8y+3y+9x+4y-5x
Answer:
4x+15y
Step-by-step explanation:
If you want it simplified
2. Which equation is true when x=3?
A. 8x = 28
B. X - 19 = 16
C. 28 + x = 25
D. S =1
Answer:c
Step-by-step explanation:
At Mary’s fruit stand, a basket of cherries costs $4 and a basket of peaches costs $9. In one morning, Katya sells 96 baskets for $644. How many baskets of peaches were sold?
Answer:
The number of strawberry baskets sold was 44
Step-by-step explanation:
Let
x ----> the number of strawberry baskets sold
y ---> the number of raspberries baskets sold
we know that
In one morning, Katya sells 96 baskets for $644
so
----> equation A
---> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (44.52)
see the attached figure
therefore
The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52