Answer:
Grace jumps for 9 minutes.
Zoe jumps for 12 minutes.
Step-by-step explanation:
Let the time for which Grace jumps the rope = [tex]x[/tex] minutes
Let the time for which Zoe jumps the rope = [tex]y[/tex] minutes
As per question statement:
[tex]x+y=21 ..... (1)[/tex]
Number of times Grace jumps in one minute = 66
Number of times Zoe jumps in one minute = 56
Number of times Grace jumps in [tex]x[/tex] minutes = 66
Number of times Zoe jumps in [tex]y[/tex] minutes = 56
As per question statement:
[tex]66x+56y=1266 ...... (2)[/tex]
Multiplying equation (1) with 66 and subtracting equation (2) from it:
[tex]10y = 1386 - 1266\\\Rightarrow 10y=120\\\Rightarrow y =\bold{12\ min}[/tex]
By equation (1):
[tex]x=21-12=\bold{9\ min}[/tex]
Therefore, the answer is:
Grace jumps for 9 minutes.
Zoe jumps for 12 minutes.
What is the equation of the line perpendicular to y=-1/5x -2 and contains the point (2, -10)?
Answer:
y= 5x-20
Step-by-step explanation:
I didn't understand if I had to find the perpendicular line or parallel haha.
You’re welcome :)
Answer:
y = 5x -20
Step-by-step explanation:
for the line to be perpendicular it must have the inverse slope
therefore m = 5
no substitute the point (2, -10) in for (x, y) respectively to find the y intercept
-10 = 5(2) + b
-10 = 10 + b
b = -20
the equation will be y = 5x -20
.
The sale price of a necklace was $77. It had been marked down 30 percent for the sale. What was the original price of the necklace?
Answer:
List Price = $ 110.00
Discount Amount = $ 33.00
What is the measure of ZB?
20
25
O A. 60
B. 25°
O C. Cannot be determined
D. 75°
A. 60
Step-by-step explanation:
ZA + ZB + ZC = 180°
180° ÷ 3 = 60°
please , first click on the image then answer me the two questions
Answer:
Step-by-step explanation:
(m*2)+4=
b+(b*2)+1=
In triangle ABC, AB=5cm, AC = 10cm, and BC = 12 cm
Determine the size of the largest angle.
Answer:
The largest angle is <B.
Because, AC is the longest and largest side of ∆ABC. Therefore, the angle opposite the largest side is also the largest.
This is a property in geometry.
Step-by-step explanation:
Please give me Brainlest!
Round 8250 to the nearest hundred.
Answer:
8300
Step-by-step explanation:
i believe it is 8300 but if im wrong let me know
Solve the system of equations by substitution.
x + y = 40
y = 9x
The solution of the system is?
Find the difference.
(8x^5+ 6x^3 – 2x² + 10x) – (9x^5– x^3– 13x² + 4) =
Answer:
Step-by-step explanation:
(8x^5+ 6x^3 – 2x² + 10x) – (9x^5– x^3– 13x² + 4) =
-x^5+7x^3+11x^2+10x-4
(2,5),( 3, 6) Rate of change and slope
Answer:
1 for both slope and rate of change
Step-by-step explanation:
Slope is another word for the rate of change of y with respect to x.
Can some help me?Its due tonight lol
There are 60 seconds in a minute and 60 minutes in an hour. How many seconds are in one hour?
Answer:
3,600 seconds
Step-by-step explanation:
multipy how many hours by 3,600
(so 1 times 3,600)
Answer:
3,600 seconds
Step-by-step explanation:
[tex]\frac{60 seconds}{1 minute} (\frac{60 minutes}{1 hour} )=\frac{3,600 seconds}{1 hour}[/tex]
Manny baked 48 cookies for a bake sale. 75% of the cookies were chocolate chip. How many cookies were NOT chocolate chip
what is the slope of the line through the points (3,7) and (5,15)?
a. 2/5
b. 1/4
c. 4
d. 5/2
Answer:
C. 4
Step-by-step explanation:
The formula of slopes is: y2 - y1/x2 - x1
m = y2 - y1/x2 - x1
m = 15 - 7/5 - 3
m = 8/2
m = 4/1
m = 4
The slope of the line through the points (3,7) and (5,15) is 4 .
What is slope of line passing through two points ?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.
Δy = change in y coordinate = y2 - y1
Δx = change in x coordinate = x2 - x1
m = Δy/Δx
where,
m is the slope
According to the question
Points (3,7) and (5,15)
therefore,
(x1,y1) = (3,7)
(x2,y2) = (5,15)
Now ,
The slope of the line
Using slope formula
m = Δy/Δx
Δy = y2 - y1
Δy = 15 - 7
Δy = 8
Δx = = x2 - x1
Δx = 5 - 3
Δx = 2
Therefore,
m = [tex]\frac{8}{2}[/tex]
m = 4
Hence, the slope of the line through the points (3,7) and (5,15) is 4 .
To know more about slope of line passing through two points here:
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4 friends are sharing a new pack of pencils. if there are 12 pencils in each pack how many will each friend get?
(I am lazy to answer this by myself so please help me)
Answer:
3
Step-by-step explanation:
3 times 4 equals 12
hope I got it right
Step-by-step explanation:
they would each get 4 pencils
1. True False 3(2 + 4) = 3 x 2 + 4
2. True False 6(10 + 5) = 6 x 10 + 6 x 5
3. True False 7(20 + 8) = 7 + 20 x 8
4. True False 4(5 + 10) = 20 + 10 5. True False 2(6 + 11) = 12 + 22
Answer:
1. False
2. True
3. False
4. True
5. True
Answer:
Step-by-step explanation:
1. Fasle
2. True
3. False
The diagram below represents changes that take place within the human body. The diagram
represents *
(1 Point)
Answer:
Dynamic equilibrium
Step-by-step explanation:
Dynamic equilibrium in the human body is achieved when there is an internal control which tends to oppose certain outside forces which could affect the body. It's known to be the ability to detect and respond to stimuli by living organisms. When these stimuli occur, there are feedbacks or responses that are sent or received by the body to maintain stability. This dynamic equilibrium of the internal environment can also be seen as homeostasis.
ASAP 20 points!!! & BRAINLIEST!
Answer:
None are parallel.
Step-by-step explanation:
Only when the coordinates have the same distance in both x and y that both lines are parallel, which none of these are.
Hope this helped!
100 POINTS GEOMETRY QUESTION PLEASE ANSWER !!!!!!
Answer:
Step-by-step explanation:
ABC have sides: 5, 7 and 10
5^2 + 7^2 = 25+47 = 72 < 10^2
so triangle ABC is obtuse
JKL has sides: 12, 35 and 37
12^2 + 35^2 = 144 + 1225 = 1369 = 37^2
so triangle JKL is right-angled
PQR has sides 12, 10 and 16
12^2 + 10^2 = 144 + 100 = 244 > 16^2
so triangle PQR is acute
Answer:
Step-by-step explanation:
missing the Q: it asks 2 classify the triangles.
so the ans:
ABC - obtuse
JKL - right-angled
PQR - acute
help asap please does the graph represent a function
–24 + 12d = 2(d – 3) + 22
Answer:
d = 4
Step-by-step explanation:
Answer:
d = 4
Step-by-step explanation:
–24 + 12d = 2(d – 3) + 22
–24 + 12d = 2d - 6 + 22
–24 + 12d = 2d + 16
–24 + 12d - 2d = 16
12d - 2d = 16 + 24
10d = 16 + 24
10d = 40
d = 4
Please help me you’ll get brainlest last one!!!!!
5/5
Answer:
Point X is the loacation [tex]\pi[/tex], and is an irrational number
Step-by-step explanation:
[tex]\pi[/tex] ≈ 3.14
it is also a irrational number
Mr. Stack and Coach Pugh are racing down the highway. Coach Pugh is going five miles more an hour than twice Mr. Stack's speed. If Coach Pugh is going one hundred and five miles and hour, how fast is Mr. Stack going?
Answer:
50
Step-by-step explanation:
2(Mr stack's speed) = Coach Pugh's speed - 5mph
Mr stack's speed = (105mph - 5mph)/2
Mr stack's speed = 100mph/2
Mr stack's speed = 50mph
????????????????????????????
Answer:
The answer is in the 4th quadrant
Step-by-step explanation:
I really hope this helped!!! have a great day. :)
SOMEONE HELP ASAP i’ll give brainliest
Answer:
which question is it ??
ASAP WILL MARK BRAINIEST DUE IN 5!!!
The points in each table lie on a line. Find the slope of the line.
O 1/2
O 1
O 2
O None of the above
Answer: is 1/2
Step-by-step explanation:
Please help with this question. Thank you
Write the ratio 12 to 18 as a fraction in simplest form.
x to y can be expressed as a fraction this way: x/y.
Let x = 12
Let y = 18
12/18
We can now reduce to lowest terms.
Dividing 12 and 18 by 6, we get 2/3 as the final answer.
The simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.
To express the ratio 12 to 18 as a fraction in simplest form, we can divide both numbers by their greatest common divisor (GCD). The GCD of 12 and 18 is 6. By dividing both numbers by 6, we simplify the fraction to its simplest form:
12 ÷ 6 = 2
18 ÷ 6 = 3
Thus, the simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.
To know more about simplified fraction:
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what is the slope of the line through [-1,2] and [2,-3]
Answer:
-3/5
Step-by-step explanation:
to figure that out you have to do y^2 - y^1/ x^2 - x^1
2-(-1)/ -3 - 2
= 3/-5
=-3/5
Find the simple interest earned, to the nearest cent, for the principal, interest rate, and time.
$1,200, 3.5%, 2 years
Answer:
84
Step-by-step explanation:
1200*3.5*2/100
=84
Answer:
$84
Step-by-step explanation:
You can also do 1,200x 0.035 x2 which equals $84.
Someone, please help I'll give 10 points and brainliest to the person who answers first
it's the third option. 13x - 12y + 6xy
Answer:
C.
Step-by-step explanation:
5x-12y+8x+2xy+4xy=(5x+8x)-12y+6xy=13x-12y+6xy