Given:
Jordan's walked for 12 minutes she took 804 steps.
Karen's walked 2,100 steps in 32 minutes.
To find:
Who was walking at a faster rate?
Solution:
We need to find the unit rate of Jordan and Karen.
[tex]\text{Unit rate}=\dfrac{\text{Total steps}}{\text{Total time}}[/tex]
Unit rate of Jordan,
[tex]\text{Unit rate}=\dfrac{804}{12}[/tex]
[tex]\text{Unit rate}=67[/tex]
Unit rate of Karen,
[tex]\text{Unit rate}=\dfrac{2100}{32}[/tex]
[tex]\text{Unit rate}=65.625[/tex]
Clearly, 67 > 65.625.
Since, unit rate of Jordan is greater, therefore she walked faster.
(
1
×
10
6
)
−
(
9
×102)
Answer:
-812
Step-by-step explanation:
(1×106)-(9×102)
106-918
-812
can i get some help on this please
Answer:
D
Step-by-step explanation:
This is the only case where only a simple a addition must be made.
The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?
Answer:
The first term is:
[tex]a_1=-61[/tex]Step-by-step explanation:
The arithmetic sequence is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
where
[tex]a_1[/tex] is the first term
[tex]d[/tex] is the common difference
as
the 17th term of an arithmetic sequence is 51.
i.e. [tex]a_{17}=51[/tex]
so
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_{17}=a_1+\left(17-1\right)d[/tex]
[tex]51=a_1+\left(17-1\right)7[/tex] ∵ [tex]n = 17[/tex], [tex]a_{17}=51[/tex] , [tex]d=7[/tex]
[tex]a_1+112=51[/tex] ∵ [tex]\left(17-1\right)\cdot \:\:7=112[/tex]
[tex]a_1=-61[/tex]
Therefore, the first term is:
[tex]a_1=-61[/tex]Which of the following are the Multiples of 6? *
O 1,2,3,6
O 1,2,4,6
O 6, 12, 18, 24
0 2,4,6,8
Answer:
it is b
Step-by-step explanation:
A number added to 12 and then subtracted by 18 equals 26. what is the number?
Answer:
it would be 32. you would take your 26 and add 18 then subtract the 12.
Step-by-step explanation:
hope this helps
Answer:
32
Step-by-step explanation:
x+12-18=26
Subtract the numbers 12 and 18
x-6=26
Add 6 to both sides of the equation
x-6+6=26+6
Simplify- Add the numbers thus getting x=32
HELP QUICK 50 POINTS!!!
Drag each tile to the table to
multiply each row heading by
each column heading.
25t
-160
20t2
-20
5t
-4
4t
5
Answer:
Step-by-step explanation:
5t -4
4t. 20t². -16t
5. 25t. -20
multiply numbers with numbers and variables with variables
What is the volume of a sphere with a radius of 9 inches?
108π cubic inches
242π cubic inches
642π cubic inches
972π cubic inches
Answer:
The answer is 972π cubic inches.
Answer:
972
Step-by-step explanation:
Please help me what is the increasing interval more than one answer
Answer: First and second
Step-by-step explanation: I took the test and aced it so i hope this helped!
could someone help me with my recent asked questions? I really do need the help, but a lot of people don't take it seriously. Thank you :)
what do you need help with
Answer:
Sure
Step-by-step explanation:
I need help with my Math for college readiness
Answer:
I can help what do you need.
Step-by-step explanation:
HELP ME!
CHOOSE CORRECT ANSWERS!
A meat distributor paid $2.75 per pound for hamburger and $4.50 per pound for ground sirloin. How many pounds of each did he use to make 75 pounds of meat mixture that will cost $3.24 per pound?
Answer:
The number of pounds of hamburger meat = x = 54 pounds.
The number of pounds of ground sirloin = y = 21 pounds
Step-by-step explanation:
Let the number of pounds of hamburger meat = x
the number of pounds of ground sirloin = y
How many pounds of each did he use to make 75 pounds of meat mixture that will cost $3.24 per pound?
x + y = 75...... Equation 1
x = 75 - y
A meat distributor paid $2.75 per pound for hamburger and $4.50 per pound for ground sirloin.
$2.75 × x + $4.50 × y = 75 × $3.24
2.75x + 4.50y = 243
We substitute 75 - y for x
Hence,
2.75(75 - y) + 4.5y = 243
206.25 - 2.75y + 4.5 y = 243
Collect like terms
- 2.75y + 4.5 y = 243 - 206.25
1.75y = 36.75
y = 36.75/1.75
y = 21 pounds
Note
x = 75 - y
x = 75 - 21
x = 54 pounds
Therefore:
The number of pounds of hamburger meat = x = 54 pounds.
The number of pounds of ground sirloin = y = 21 pounds
long division of 7/20
What is the difference between the LCM and the GCF of two numbers? Give an example. i need it described and example im desprate
Answer:
The least common multiple (LCM) of two numbers is the smallest number (excluding zero) that is a multiple of both of the numbers. ... The greatest common factor of two (or more) numbers is the product of all the prime factors the numbers have in common.
Barton building supplies sword 44 tons of gravel on Saturday and 80 tons of gravel on Sunday. Which amount is closest to the percent increase of gravel from Saturday to Sunday?
Answer:
I think its 128
Step-by-step explanation:
PLZ HELP!
Solve.
{5x+y=24x+y=4
Use any method.
( -3, 17)
(-2, 12)
(0, 2)
( 1, -8)
Answer:
i got (5,-1)
Step-by-step explanation:
which obviously is not an option but that should be it if I read the question right. it was 5x+y=24 and x+y=4, right?
Answer:
(-2,12)
Step-by-step explanation:
just did the test
Can someone explain this and help
Answer:
x = 43
Step-by-step explanation:
since the line is parallel, there are a few relationships that goes on in between the parallel lines with the angles formed by the third line (the third line is known as a transversal)
the two angles shown are same side interior angles because they are on the same side of the transversal and on the inside of the parallel lines
same side interior angles always add up to 180 since, if you put them together, they would form a straight angle
so we can set the equation to x + 27 + x + 67 = 180
add like terms: 2x + 94 = 180
subtract 94 from 180: 2x = 86
divide both sides by 2: x = 43
i need help please can someone help
Answer:
1000, 0, 0, 1.
Step-by-step explanation:
MARK ME BRAINLIEST.
PLEASE HELP THE INFO IS IN THE PICTURE
Answer:
(g-h)(x) = -x^3 - 4x - 2, so the answer is D.
Step-by-step explanation:
(g - h) = -x^3 - 2 - 4x
(g-h)(x) = -x^3 - 4x - 2
The Key Club is having a fundraising dinner for charity. The venue that holds a maximum of 500 people will
cost $1000 and it costs $20 per person for the food. The two charity representatives get to attend for free.
Write an inequality and then determine how many people must come to keep costs at most $25 per person.
Answer:
[tex]\dfrac{\$1000+\$20x}{x} \leq \$25[/tex]
Minimum 200 people other than the 2 charity representatives.
Step-by-step explanation:
Given that:
The venue can hold a maximum of 500 people.
Cost of venue = $1000
Per person cost for food = $20
Two charity representatives get to attend the dinner for free.
To find:
The inequality and to determine how many people must come to keep costs at most $25.
Solution:
Let the number of people attending the dinner = [tex]x[/tex]
Cost of food for [tex]x[/tex] people = [tex]\$20x[/tex]
Total cost = $1000 + [tex]\$20x[/tex]
Cost per person = Total cost divided by Number of people attending the dinner.
As per question statement:
[tex]\dfrac{\$1000+\$20x}{x} \leq \$25\\\Rightarrow 1000+20x\leq25x\\\Rightarrow 1000 \leq 5x\\\Rightarrow x\geq 200[/tex]
Therefore, the answer is:
Minimum 200 people other than the 2 charity representatives should attend the dinner.
Factorise x^2 + 7x - 78 = 0
Someone pls help I just need this one
Answer:
the words are not that clear
what is the answer or solution-15-3p=6
Answer:
P = - 7
Step-by-step explanation:
To solve we must put all the literals (letters) on one side of the operation and all the free numbers on the other. To do this we are going to do the same operations on both sides of the equal sign
- 15 - 3p = 6
So, we are going to add 15 on both sides
- 15 - 3p + 15 = 6 + 15
- 3p = 21
We are goint to divide everything by -3
-3p/-3 = 21/-3
It result:
p = -7We check as follows:
We are going to replace the unknown (p) by the value we gave it already (-7)
-15 - 3(-7) = 6
-3 × -7 = +21
-15 + 21 = 6
6 = 6
we have the correct result
Item 11 A store sells 2 printers for every 5 computers. The store sells 40 computers. How many printers does the store sell?
It’s 16 cause 8x2=16
Answer:
16
Step-by-step explanation:
Multiply 8x2 and then you will get 16.
what is the scale factor from figure a to figure b?
Answer:
4
Step-by-step explanation:
Top side: 10x _ = 40
Left side: 18x _ = 40
Right side: 11x _ =44
All the blanks can be answered with 4. Therefore, your answer is 4.
Hope this helps!
-AxekickNebulite
I know it isn’t congruent but how do I explain the reasoning? help ?
You can deliver 261
newspapers in 3 hours. How
many newspapers can you
deliver in 8 hours?
Answer:
261÷3=87
87×8=696
Step-by-step explanation:
Answer:
696 in 8 hours
Step-by-step explanation:
You would start by dividing 261 by three to see how many you can deliver in just one hour, which would be 87 newspapers. Then you would times your solution by 8, which is the hours, and you would get 696 newspapers. :)
23.]
You want to buy a $
\
200,000 home. You plan to pay 10% as a down payment, and
take out a 30 year loan for the rest.
Answer:
After putting the 10% down or $20,000, you will need a loan for $180,000. What interest rate do you have for the 30 years?
2. She needs 4.5 ounces of crickets for each snake. How many ounces of
crickets are needed if the number of snakes is:
a. 10
b. 6
C. X
Answer:
a. 45 ounces
b. 27 ounces
c. 4.5x ounces
Step-by-step explanation:
a. 4.5(10) = 45
b. 4.5(6) = 27
c. 4.5(x) = 4.5x
Someone help plsss *giving BRAINLIEST*
Find the value of x
Answer:
x = 33
Step-by-step explanation:
(33) + (3 · 33) + (33+15) = 180
Answer:
I=69 t=207 h=84
Step-by-step explanation:
X+3x+(x+15)=360
Combine like terms
5x+15=360
Subtract 15 from both sides
5x=360-15
5x=345
Divide by 5
X=69