1) On average, the time Jamie cut off her mile each month is 6.5 seconds.
2) In this context, the 6.5 seconds that Jamie cut off her mile each month means that she can finish a 9-minute-mile race by less than 6.5 seconds.
How is the average cut-off time determined?The average cut-off time per month is determined by the mathematical operation of division.
Average refers to the mean of a data set divided by the number in the data set.
Data and Calculations:The race Jamie is training for = a 9-minute mile
Cut-off time achieved in 6 months = 39 seconds
Period of training = 6 months
Average cut-off time = 6.5 seconds (39/6)
Time Jamie can finish the race = 8 minutes and 53.5 seconds (9 minutes - 6.5 seconds)
Thus, Jamie can complete the race in 8 minutes and 53.5 seconds if she maintains the average.
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1. Order the numbers from least to greatest. 66 V21, 5.38 3
Answer:
3, 5.38, 66, V21
Step-by-step explanation:
I assumed that V was the roman numeral V, which is equivalent to the number 5. I then multiplied 5 by 21 which is 105. If this is not the case and they simply wanted us to replace the v with a 5, then the answer would still be correct because 521 is greater than all the numbers in this set. Hope this helps.
Sarah purchased 2 pounds of cheese for $8.00. Arun purchased ½ pound of cheese for $2.50. How much more does Arun pay per pound of cheese?
Answer:
$1 more per pound
Step-by-step explanation:
Sarah: 8/2= $4
Arun: 2.5*2 = 5
Arun pays $1 more per pound of cheese than Sarah
Answer:
2.50x2=5
Step-by-step explanation:
2.0+2.0=4
.50+.50=1
4+1=5
Solve for x: 3x − 2 > 5x + 10. (5 points)
Question 9 options:
1)
x > 6
2)
x −6
Answer:
Option 2.. x > -6
Step-by-step explanation:
3x -5x - 2 > 5x -5x + 10
-2x - 2 + 2 > 10 + 2
-2x/-2 > 12/-2
x > -6
What is the sum of the first 50 terms in the arithmetic sequence 5, 8, 11, 14,...?
Answer:
3925
Step-by-step explanation:
We can use the formula [tex]an=a1+(n-1)d[/tex] to find 50th term where:
[tex]an[/tex] is the nth term in the sequence
[tex]a1[/tex] is the first term in the sequence
[tex]d[/tex] is common difference between terms
[tex]5+(50-1)*3=152[/tex]
We also use the formula [tex]Sn=n*(a1+an/2)[/tex] to find the sum
[tex]50*(\frac{5+152}{2})=3925[/tex]
The square on the right is a scaled copy of square on left .express your answer as a whole number or function in simplest form
19
19
19/2
19/2
Given data,
The square on the right is a scaled copy of square on left
Here, we want to get the scale factor
Define Scale factor :
Scale Factor is used to scale shapes in different dimensions. In geometry, we learn about different geometrical shapes which both in two-dimension and three-dimension. The scale factor is a measure for similar figures, who look the same but have different scales or measures.
To get the scale factor, we divide corresponding sides by each other
That, we have that,
= (19/2) / 19
= 9.5 / 19
= 0.5 (see image)
Therefore,
The scale factor is 1 to 0.5
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Answer:
1/4
Step-by-step explanation:
o=area of first square
t=area of second square
o=19*19
o=361
t=19/2 * 19/2
t=19*19/(2*2)
t=361/4
t=o * x
361/4=361*x
x=1/4 ==> scale factor
help if you can dont answer if you dont know please
Answer:
Area of the shaded region 85 square inches
Step-by-step explanation:
10(width)x8(height)=80
Triangle on the right= (8x5)/2=20
Triangle on the left=(8x5)/2=20
Both triangles' area=40
80+40=120
Not shaded area=5x7=35
120-35=85
what is -x + 1 = -7 i'm really stuck on this one
answer: is x=8
explanation:
-x+1=-7
-x=-7-1
-x=-8
since next to the x is a "one" we divide
x/-1=-8/-1
x=
Find the Volume of the cylinder
[tex]\huge{\underline{\underline{\sf{\red{Required\:Solution:-}}}}}[/tex]
Volume of cylinder B is greater.For Cylinder A :-[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: \dfrac{7}{2}cm}}[/tex]
[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:h(height)\:=\: 14cm}}[/tex]
[tex]\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^{2}h}}}[/tex]
Substitute the values and simplify it
[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= \dfrac{22}{7} \times \bigg(\frac{7}{2}^{2} \bigg)\times14}}[/tex]
[tex]\large{\boxed{\sf{\orange{= 539 cm^{3}}}}}[/tex]
For Cylinder B:-[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:r(radius)\:=\: \dfrac{14}{2}cm=7cm}}[/tex]
[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:h(height)\:=\: 7cm}}[/tex]
[tex]\displaystyle{\boxed{\sf{ Volume\:=\: \pi r^{2}h}}}[/tex]
Substitute the values and simplify it.
[tex]\displaystyle{\sf{\:\:\:\:\:\:\:\:\:\:= \dfrac{22}{7} \times (7^{2})\times7}}[/tex]
[tex]\large{\boxed{\sf{\green{= 1078 cm^{3}}}}}[/tex]
By actual calculation of volumes of both the cylinders, it is verified that the volumes of cylinder B is greater.━━━━━━━━━━━━━━━━━━━━━━━━━━
Which property of real numbers is shown below? -7(5 + 3) = -35 - 21 inverse property of addition OB. distributive property OC. commutative property of multiplication OD. associative property of addition
Answer:
OB
Step-by-step explanation:
HELP!!!! WILL MARK BRAINLIEST!!!!!!
Answer:
The answer is C
Step-by-step explanation:
If the height of Mount Everest is about 8.8 time 10 to the third power meters and the height of the Empire State Building is about 3.8 times 10 to the second power meters which of these statements is a true
Answer: C. Mount Everest is about 23 times as tall as the Empire State Building
Step-by-step explanation:
The options are:
A.There is no way to compare these heights
B.Mount Everest is about 40 times as tall as the Empire State Building
C.Mount Everest is about 23 times as tall as the Empire State Building
D.The Empire State Building is about 23 times as tall as Mount Everest
Mount Everest = 8.8×10^3 meters = 8800 meters
Empire State Building = 3.8×10^2 = 380 meters
Mount Everest is (8800 / 23) = 33 times as tall as the Empire State Building. Therefore, the correct option is C.
Answer:
Mount Everest is about 23 times as tall as the Empire State Building. Hope that helps!
Which expression is equivalent to (3x−2)(x+6)
Answer: 3x^2+16x-12
Step-by-step explanation:
Write the slope-intercept form of the equation of the line described. Do not include any spaces.
Through (-4,-2) and parallel to y=x+5.
Answer:
Y = 0x + b
2 = 0 + b, b = 2
Y = 2
Step-by-step explanation:
Answer:
y=x+2
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
y-y1=m(x-x1)
y-(-2)=1(x-(-4))
y+2=x+4
y=x+4-2
y=x+2
Parallel lines have same slopes.
Find the slope of the line through C(2, 5) and D(4,7).
Answer:1
Step-by-step explanation:u don't need one
The slope of the line through C(2, 5) and D(4,7) will be 1.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Then the slope of the line through C(2, 5) and D(4,7) will be given as,
m = (y₂ - y₁) / (x₂ - x₁)
m = (7 - 5) / (4 - 2)
m = 2 / 2
m = 1
Thus, the slope of the line through C(2, 5) and D(4,7) will be 1.
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Elisa withdrew $27 at a time from her bank account and withdrew a total of $216. frances withdrew $46 at a time from his bank account and withdrew a total of $184. who made the greater number of withdrawals?
Using the concept of division we can find the number of times Elisa and Frances withdraw the money.
What is division?Division is one of fundamental mathematical operations, which breaks a bigger number into smaller groups with the same number of components.
The amount withdrawn by Elisa at a time =$27 The amount withdrawn by Elisa in total =$216
The number of times Elisa withdrew
=[tex]\frac{total amount withdrawn}{amount withdrawn per time}[/tex]
=[tex]\frac{216}{27}[/tex]
=8
The amount withdrawn by Frances each time=$46
The amount withdrawn by Frances in total=$184
The number of times Frances withdrew
=[tex]\frac{total amount withdrawn}{amount withdrawn per time}[/tex]
=[tex]\frac{184}{46}[/tex]
=4
The number of times Elisa withdrew is 8 while the number of times Frances withdrew is 4.This implies Elisa has made withdrawals than Frances.
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Garden soil costs $5.00 per a 2 cubic foot bag at lows. You have raised rectangular garden thag is 8 feet by 4 feet and you wish the depth of the soil to be 6 inches deep. How much will it cost to buy the bags of soul for your garden
Answer:
$40
Step-by-step explanation:
Step one:
given data
Garden soil costs $5.00 per a 2 cubic foot bag
dimension of rectangular garden raised
8 feet by 4 feet , depth is 6 in
6 in to feet= 0.5ft
the volume of the soil in the garden is
volume= 8*4*0.5= 16ft^3
Step two:
now if 2ft^3 cost $5
16ft^3 will cost x
cross multiply
x*2=16*5
divide both sides by 2
x= 16*5/2
x=80/2
x=$40
Help!
Must be correct
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Accelerated 7th-grade math! Help!
hi this is pre alg!!! please help!!
The ratio of girls to boys in a class is 3:2. There are 25 students in this class. How many are girls and how many are boys? REPOST FOR ATTENTION
Answer:
15:10
Step-by-step explanation:
consider the starting point: we have 3 bots and 2 girls. this gives a total count of 5 so we need to see how many lots of 5 will fit into 25. 5 lots of 5 gives 25 so we have 5 lots of the ratio 3:2 Method: 5 lots of 3:2: 5 x (3:2)=(5 x 3):(5 x 2)= 15:10
Find the GCF of 6 and 18.
The GCF is 3.
The GCF is 2.
There is no GCF.
The GCF is 6.
Answer:
The GCF is 6
Step-by-step explanation:
Answer:
The GCF of 6 and 18 = 6
Step-by-step explanation:
Happy Holidays ❄️☃️
Im happy to help :]
Convert 3/4 to a percent. 3/4=_%
Answer:
75%
Step-by-step explanation:
The number of ducks swimming In a lake decreased by 1/4 between last year and this year. last year there were 60 ducks in the lake. What is the population this year? If you get stuck consider drawing a diagram.
Answer:
Given: Population of ducks in lake, last year is 60.
Also, the population of ducks this year decreased by 1/4 th over the last year.
So, the population of ducks this year is = 60*(1-1/4)
= 60*(3/4)
= 45
Therefore, the population of ducks this year is 45 ducks.
Given the equation 5x - 7 = 18. What is
the first step in solving this equation?
Adding 7 to both sides.
Subtracting 5 from both sides.
Subtracting 7 from both sides.
Dividing by 5 on both sides.
Answer:
The answer is adding 7 to both sides.
Step-by-step explanation:
5x-7=18
+7 +7
5x= 25
x=5
Answer:
Answer: Adding 7 to both sides.
Step-by-step explanation:
You always do the "inverse" of the number without the variable next to it and either "add" or "subtract" it to the other side.
Ex: 7x - 3 = 18
In this case, you would add the 3 to the other side.
7x - 3 = 18
+ 3 +3
7x = 21
7x 7x
x = 3
A group of 12 friends are in line to see a play. It cost $15 for 4 people to see a play. How much will the group pay?
Answer:
$45
Step-by-step explanation:
3x4=12
15x3=45
Does anyone know how to do these? I don't understand them at all... :(
Answer:
For the first 2 questions, you need to find the square roots of those numbers. The second 2 question, you need to do those problems. Remember that absolute value is always positive. Then, plot those numbers on the coordinate plain.
Edit: plane*
Step-by-step explanation:
creepiest joke get brainiest or whateves results in about 10 minuets after it starts good luck
Answer:
what does a pokemon do when your in the shower
Step-by-step explanation:
pikachu
Answer:
A woman is walking through the woods at night with a serial killer.
She says to her companion, "Man, this forest is really creepy at night. I wish we weren't out here."
He replies, "You think you have it bad? I have to walk home alone!"
Three roots of a fifth degree polynomial function f(x) are -2, 2, and 4 + i. Which statement describes the number and
nature of all roots for this function?
A) f(x) has two real roots and one imaginary root.
B) f(x) has three real roots.
C) f(x) has five real roots.
D) f(x) has three real roots and two imaginary roots.
Answer:
D.
Step-by-step explanation:
Its a fifth degree function so it will have 5 roots.
One of the 3 roots is complex ( imaginary):- 4 + i so there must be another root value 4 - i because these roots always occur as conjugate pairs.
The fifth root must be real because you cant have just one imaginary root.
A sphere which has a diameter of 6 inches has a volume of:
Answer:
The volume of a sphere with 6 inch radius is 36(pi) cubic inches or approximately 113 cubic inches.
Step-by-step explanation:
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The volume of the given sphere is 113.04in³
How to find the voluume of the sphere?The volume of a sphere of radius R is given by the formula:
V = (4/3)*3.14*R³
Here we know that the diameter is 6 inches, and the radius is half of that, then the radius is:
R = 6in/2 = 3in
Replacing that in the formula we will get:
V = (4/3)*3.14(3in)³
V = 113.04in³
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What is 70%, percent of 20?
Answer:
14
Step-by-step explanation:
math
Answer:
14
Step-by-step explanation:
Javier wants to go to the movies. He has some money saved but does not want to use all his savings on a movie
ticket. Javier’s mother offers to pay some of the cost of the ticket for every pound of potatoes he peels for her.
The graph shows the cost to Javier for the purchase of the movie ticket after peeling x pounds of potatoes for
his mother.
Answer:
1. true 2. false 3. true 4. false 5. false
Step-by-step explanation:
yurr