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Justine and Kate are training for a race.
At every training session Justine runs x miles and Kate runs 3 more miles than Justine.
In one week, Justine and Kate both train every day.
In the 7 days they run 63 miles in total between them.
How many miles do Justine and Kate each run per day?
Answer:
Justine runs 3 miles a day and Kate runs 6 miles a day.
Step-by-step explanation:
x = number of miles ran in a day
x(7) + (x+3)(7) = 63
7x + 7x + 21 = 63
14x + 21 = 63
14x = 42
x = 3
3 + 3 = 6
Justine runs 3 miles a day and Kate runs 6 miles a day.
Which expression uses the associative property to make it easier to evaluate
6.)?
O A. (6)
O B. (6-3);
OC. 6(3)
OD D. 3(5.5)
9514 1404 393
Answer:
B
Step-by-step explanation:
The associative property just moves parentheses, without changing the values or order of the operands. The only expression for which that is true is ...
B. (6·1/3)·7/5
Find the first 5 terms of the sequence a1= -4, an = 3an-1 -2 for n > 1.
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Explanation:
The notation [tex]a_1 = -4[/tex] tells us that the first term is -4.
To generate the next term, we'll use the recursive rule [tex]a_n = 3*a_{n-1}-2[/tex] which is probably better written as [tex]a_n = 3*(a_{n-1})-2[/tex]. That rule says: "Whatever the previous term is, multiply by 3 and subtract off 2 to get the next term".
This means,
2nd term = 3*(1st term) - 2 = 3*(-4)-2 = -143rd term = 3*(2nd term) - 2 = 3*(-14)-2 = -444th term = 3*(3rd term) - 2 = 3*(-44)-2 = -1345th term = 3*(4th term) - 2 = 3*(-134)-2 = -404Therefore, the first five terms are: -4, -14, -44, -134, -404
Please help me solve this!
7th grade math please help me thank you.
The table shows a set of points on a line. What is the slope of the line?
Answer:
-3
Step-by-step explanation:
take a set of points (2,3) (3,-6)
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{-6-(-3)}{3-2}[/tex]
[tex]\frac{-3}{3-2}[/tex]
[tex]\frac{-3}{1}[/tex]
-3
which is a better buy six cans for $7 or 8 cans for $9?
Answer:
8 cans for 9$
Step-by-step explanation:
buy 8 cans for 9$
The 8 cans for $9 is better than six cans for $7.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We need to find better buy six cans for $7 or 8 cans for $9.
Let's find the unit rate of both the quantitites;
six cans for $7
Then one can = 7/6 = 1.16
Therefore, 8 cans for $9.
one can = 9/8 = 1.125
Hence, the 8 cans for $9 is better than six cans for $7.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
State of the two triangles are congruent. If they are, state how you know.
See picture for full problem. Please and thank you!
Answer:
in the quest the double angle sign means they are congruent as well as they have a common side if you label them.
The temperature at 1 AM is "-10F." The temperature drops 3 degrees per hour for 4 hours. What is the temperature at 5AM?
Answer:
-13
Step-by-step explanation:
Answer:
-22 F
Step-by-step explanation:
basically since iy drops 3 degrees for 4 hours multiply -3 times 4 to get -12. Once you get that add to the original temperature to get your answer :) hope this helped be sure to mark me brainliest and rate :)
Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 of an inch, it is 4 3/4 inches.
How large could the percent error in Jada’s measurement be? Remember her error is 1/8 (.125) of the orignial height. Round to the nearest tenth of a %.
Answer: 2.6%
Step-by-step explanation:
4 3/4 = 4.75 which I'll be using because its easier for me
0.125 / 4.75 = 0.0263157895
0.0263157895 * 100 = 2.63157895
2.63157895%
Rounded is 2.6%
pls help me out
4x - 10 = -6
Answer: x = 1
Step-by-step explanation:
Answer:
The value of x is 1
Step-by-step explanation:
4x - 10 = -6
Use APE or Additive Property of Equality
4x = 10 - 6
4x = 4
Use DPE or Division Property of Equality
4x/4 = 4/4
x = 1
Substitute it to the equation to check
4x - 10 = -6
4(1) - 10 = -6
4 - 10 = -6
-6 = -6
Xavier wants to order CDs online. Each CD costs $17.50 and shipping is $4. He only has $90 to spend.
PLS HELP WILL MARK BRAINLIEST! NO FAKE ANSWERS
Answer:
i. 4x² + 96x + 512
ii. 1,092 m²
Step-by-step explanation:
i. [ 36 + 2 (x - 2) ] × [ 20 + 2 (x - 2) ]
= (36 + 2x - 4) (20 + 2x - 4)
= (32 + 2x) ( 16 + 2x)
= 512 + 64x + 32x + 4x²
= 4x² + 96x + 512.
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ii. If x = 5
then 4x² + 96x + 512
= 4 × 25 + 96 × 5+ 512
= 100 + 480 + 512 (Simple calculation)
= 1,092 m²
PLEASE HELP THIS IS DUE IN THIRTY MINUTES
I FINNA GIVE YOU 30 POINTS, THAS A SCORE
You have $4800 to spend on fencing to enclose a rectangular area. You also want to make TWO pens as shown below. The cost of the vertical sides is $2.00 per foot and the horizontal sides cost $5.00 per foot. You desire to enclose the largest possible area you can.
a) Given x is the dimension of one side of the rectangle, enter an expression for the other dimension of the rectangle. Your answer should have an "x" in it. Also select appropriate units.
b) Find an expression for the area of the rectangle only in terms of x. Check the appropriate units.
c) What are the dimensions of the rectangle with the largest enclosed area? Enter your dimensions as a list of numbers separated by a comma. Start with the value of side labeled x FIRST.
d) What is the largest area you can enclose in a rectangle using feet of fencing?
Answer:
D
Step-by-step explanation:
a shopkeeper sold an article at a gain of 5%.if he had sold it for rs. 16.50 less, he would have lost 5%.find the cost price of the article.
Answer:
m,ouih
-step explanation:
Tell whether the rates are equivalent.
0.8 kilometer for every 2 minutes
0.2 kilometer for every 0.5 minute
Answer:
Yes.
Step-by-step explanation:
0.5 minutes is 1/4 of 2 minutes.
0.2 is also 1/4 of 0.8
you get what I'm sayin?
When playing a game of capture the flag how would a player best position themselves from being tagged and placed in the jail?
On their own team's side of the center line
On their opponent's side of the field, nearest the flags
Near the center line so they can move back and forth between the two sides
Near the back corner of the opponents flag area
Answer:
Near the center line so they can move back and forth between the two sides
Step-by-step explanation:
what is the prime factorization of 252
1. 2^2x7x9
2. 2x7x27
3.2^2×3^2×7
4.2^3×3×7
Answer:
Prime factorization: 2x2x3x3x7
Exponential form: = 2^2 x 3^2 x 7
Step-by-step explanation:
Given tan A = (4/9) and that angle A is in quadrant 1, find the exact value of sin A in simplest radical form using a rational denominator
Write the phrase as an equation /
inequality
Four is twenty more than the number.
Help pls
Answer:
4 = 20 + n, where n is the number
Step-by-step explanation:
Here are a few key words to use when converting words to an equation
"is": =
"more": +
"less": -
"more than", "greater than": >
"less than": <
Evaluate the following formula for
Please help
I will mark as brainliest if its correct :)
NO LINKS YOU WILL BE REPORTED AND BANNED MARK MY WORD
Answer:
Step-by-step explanation:
Using provided formula and filling in the variables:
z = [tex]\frac{(0.6-0.7)-(0)}{\sqrt{\frac{0.615782*0.384218}{88}+\frac{0.615782*0.384218}{82} }}[/tex]
Filling in in calculator:
z ≈ -1.34
what is 45x32 please help me
i need help asap
Answer:
1440
Step-by-step explanation:
Answer:
1440 is the answer to 32 x 45
A student earned $175 last week. She worked 35 hours. How much did she earn per hour?
DO NOT GIVE A LINK AS AN ANSWER
Answer:
should be 5
Step-by-step explanation:
01:36:08
Which two events are independent?
A
B
С
Total
X
15
5
30
50
Y
5
8
15
28
Z
10
7
5
22
Total
30
20
50
100
A and X
A and Y
Band X
B and y
Sede
Save and Exit
y.com/contentViewers AssessmentViewer Activit
Answer:
check online for more information
Point C has a _____ abscissa and a _____ ordinate.
positive, negative
positive, positive
negative, positive
negative, negative
Answer:
i think its b but im not that sure
Step-by-step explanation:
3х +8
What’s the value of x
Answer:
the value of X is one
Step-by-step explanation:It is one because it doesn't have a proper number
For every 1000 veiws a tv showgets it makes £2 from ad revenue.
How many veiws are required to make £21?
Answer:
10500 views.
Step-by-step explanation:
If 1000 views is £2 then 500 views would be £1 so 2 x 10 = 20 so 10,000 views and 500 more to make it £21 pounds.
How many 6 are in two
thirds
Hi again could you help me please
Find the area of the composite shape.
Answer:
For the one on the far left its 104 m2
Step-by-step explanation:
u split the shape in a square and rectangle
them u fin the area of the square by multiplying both sides. (8*8)
then u find the area of the rectangle by using the formula
2*(16+4)
when u find both areas u count them up and it'll become 104 m squared