Answer: What is the question I'm suppose to help you with
Scott trained for the marathon.
On day 1, he took 70 min to run 10 km.
On day 10, he took 2 h 40 min to run 20 km.
On day 20, he took 4 h 15 min to run 30 km.
a) What was Scott's running rate, in minutes per kilometre,
for each day?
i) Day 1 ii) Day 10 iii) Day 20
b) What do you think Scott's running rate, in minutes per
kilometre, might be for the 44 km of the marathon?
How long do you think it will take him? Explain.
Answer:
See below
Step-by-step explanation:
a)
Day 1
70 min for 10 kmRate = 70/10 = 7 min/kmDay 10
2h40 min for 20 km2*60+40 = 160 min for 20 kmRate = 160/20 = 8 min/kmDay 20
4 h 15 min for 30 km4*60 + 15 = 255 min for 30 kmRate = 255/30 = 8.5 min / kmb)
From the rate change we see:
1 min increase when the distance increases from 10 km to 20 km0.5 min increase when distance increases from 20 km to 30 kmSo we see 1 min increase per twice the distance increase
With the same rate increase we can expect 1 min increase from 20 km to 40 km, which gives us the rate of 9 min/km With same logic we get 9.055 km/min rate for 44 km distanceTotal time it takes:
9.055*44 = 398.42 min = 398.42*1/60 min = 6 h and 38.42 minWhich system of equations has exactly one solution? 2x + y = 7 2x + y = –3 5x – 4y = 8 3x + 2y = 8 15x + 9y = 36 10x + 6y = 36 8x – 12y = 48 6x – 9y = 36
Answer:
B
Step-by-step explanation:
The system of the equation that has only one solution is; 5x-4y=8 and 3x+2y=8.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We have to determine;
Which system of equations has only one solution
As per the question, a system of linear equations can have one solution if there is only one point that makes every equation in the system true. It implies that there is one point that can satisfy all of the equations at the same time.
The system of equations has only one solution is;
5x-4y=8
3x+2y=8
from equation 1
5x-4y=8
5x=8+4y
[tex]x=\frac{8+4y}{5}[/tex]
Putting the value of x in equation 2
3x+2y=8
[tex]3(\frac{8+4y}{5})+2y=8[/tex]
[tex](\frac{24+12y}{5})+2y=8[/tex]
24+12y+10y=[tex]5*8[/tex]
24+22y=40
22y=40-24
22y=16
y=[tex]\frac{16}{22}[/tex]
y=[tex]\frac{8}{11}[/tex]
Putting the value of b in equation 1,
3x+2y=8
3x+2[tex]\frac{8}{11}[/tex]=8
3x=8-[tex]\frac{16}{11}[/tex]
3x=[tex]\frac{88-6}{11}[/tex]
[tex]x=\frac{82}{33}[/tex]
Therefore, the system of equation which has exactly one solution are;
5x-4y=8 and 3x+2y=8.
To know more about the System of equation click the link given below.
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5. Translate into an equation. Negative seven less than the product of a
number and negative two is negative seven.
2 points
Answer:
-7-x+-2=-7
Step-by-step explanation:
Negative Seven Less than a product= -7-x
adding negative two= -7-x+-2
this equation equals -7
the equation put together is= -7-x+-2=-7
Hope this helps
Which expression is equivalent to 10f - 5f + 8 +6g +4
Answer:5f+6g+12
Step-by-step explanation:
Just did it and got it right
The value of equivalent expression is,
⇒ 5f + 6g + 12
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 10f - 5f + 8 + 6g + 4
Now, We can simplify as,
⇒ 10f - 5f + 8 + 6g + 4
Combine like terms,
⇒ 5f + 6g + 12
Thus, The equivalent expression is,
⇒ 5f + 6g + 12
Learn more about the mathematical expression visit:
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Solve for X, please give a brief run-over on how you got there.
Answer:
x = 31.5
Step-by-step explanation:
The triangle on the left has 2 congruent sides and is therefore isosceles.
Thus the 2 base angles are congruent with measure
[tex]\frac{180-54}{2}[/tex] = [tex]\frac{126}{2}[/tex] = 63
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
The triangle on the right is also isosceles with base angles of measure x
63° is an external angle of the triangle on the right, thus
x + x = 63
2x = 63 ( divide both sides by 2 )
x = 31.5
Diego is inviting some friends over to watch movies. He is buying popcorn and peanuts. Popcorn costs 6 cents per ounce and peanuts cost 17 cents per ounce.
Answer: send the full question
Step-by-step explanation:
(17) 60% of what is 24?
Answer:
Step-by-step explanation:
24*60%= 14.4
Answer:
14.4
Step-by-step explanation
3/5 x 24
3/5 x 24/1
3/5 x 24/1=3x24
5 x 1
= 3 x 24
5 x 1
72
5 x 1
72/5
what you do after that is you divide 72 and 5
72/5 = 14.4
so you answer is 14.4
hope this is right
To make a long distance call, your phone company charges
$1.50 to make the connection, and an additional $0.10 for
every minute that you are on the line once connected.
A) Write an equation for the price of a long-distance call, p, in
terms of the length of the call in minutes, m
B) You lost your August bill, but you know how much you paid for
the month. Write a function that will help you determine the length
of the long-distance call based on the total cost of your bill.
Answer my math question I asked so many times I lost most of points help by
y-intercept: (0, 1)
Line of symmetry calculation: x = -b/2a = -(-2)/2(2) = 0.5
Line of symmetry: x = 0.5
Open UP or DOWN: Opens UP
Min or Max: Min
Vertex: (0.5, 0.5)
Domain: {x|x ∈ ℝ}
Range: {y|y ≥ 1/2}
A los proveedores de una tienda comercial se les paga con una frecuencia diferente de acuerdo a sus productos. Al proveedor de frutas y verduras cada 15 días, al de ropa cada 60 días y al de productos de electrónica cada 90 días. ¿Cada cuántos días coinciden sus pagos?
Answer:
180 días.
Step-by-step explanation:
Resolvemos esta pregunta utilizando el método mínimo común múltiple
Buscamos y enumeramos los múltiplos de cada número hasta encontrar el primer múltiplo común.
Este primer múltiplo común es el mínimo común múltiplo.
Múltiplos de 15:
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210
Múltiplos de 60:
60, 120, 180, 240, 300
Múltiplos de 90:
90, 180, 270, 360
Por lo tanto,
MCM (15, 60, 90) = 180
Por lo tanto, el número de días que mi pago se concede es de 180 días.
HELP PLEASE QUICKLY!! Please
Express 0.5 as a fraction
Answer:
the answer is 1/2
Step-by-step explanation:
Step 1 of 2: Convert decimal to fraction.
Convert decimal to fraction
0.5 = 5/ 10
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
5 / 10
then divide ( 5 ÷ 5 ) over ( 10 ÷ 5 )
5 ÷ 5
10 ÷ 5
=1 /2
~PLZ mark brainliest~
Hugo is the chef of a school cafeteria.
The table compares the amount of sugar in Hugo's pasta and the number of students who came asking for
second plates of pasta, for several different days.
Can the number of students who asked for second plates be represented as a function of the amount of sugar?
Sugar (grams)
Second plates (# of students)
180 15
220 21
120 15
180 15
320 26
220 23
Yes or No?
PLEASE HURRY & ANSWER PLEASEEEEEEE
Answer: No
Step-by-step explanation:
I guessed..but it was right
Answer:
No
Step-by-step explanation:
Because 15 is with a different number other then 180, then it isn't linear, or graphable. It won't be a function if you have the same number with different numbers. The input and output won't make sense.
spencer used 14 centimeters of tape to wrap 2 presents. how many presents did spencer wrap if he used 42 centimeters of tape? assume the relastionship is directly proportional
Answer:
6
Step-by-step explanation:
5_6 x2_7
What is the answer to
5 2
_ x _
2 5 =
Answer:
if you’re talking about
5(x)6*2(x)7 then the answer is 420x^2
if it’s
5/6*2/7 the answer is 5/21 ~ 0.238095
Step-by-step explanation:
52/x=25 the answer is 52/25= 2 2/25 ~ 2.08
Please explan what your talking about next time
4. Lizette said this is correct. Is she right? Explain your answer to this question for
full credit! *
63 x 36
36 = 18
Your answer
Answer:
Please check the explanation!
Step-by-step explanation:
Given the expression what Lizzet said was correct
[tex]6^3\times \:\:3^6=18^8[/tex]
No, she is not right. Let me solve the expression
Let us solve the expression
[tex]6^3\times \:\:3^6[/tex]
[tex]=\left(3\times \:2\right)^3\times \:3^6[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\:\:\:\left(ab\right)^c=a^cb^c[/tex]
[tex]=3^3\times \:2^3\times \:3^6[/tex] ∵ [tex]\left(3\times \:2\right)^3=3^3\times \:2^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\:\:a^b\times \:\:a^c=a^{b+c}[/tex]
[tex]=2^3\times \:3^{3+6}[/tex] ∵ [tex]3^3\times \:3^6=\:3^{3+6}[/tex]
[tex]=2^3\times \:3^9[/tex]
Therefore, the correct expression will be:
[tex]6^3\times \:\:3^6=2^3\times \:\:3^9[/tex]
which can be further simplified such as:
[tex]6^3\times \:\:3^6=2^3\times \:\:3^9[/tex]
[tex]=8\times \:19683[/tex]
[tex]=157464[/tex]
PLEASE HELP!
solve for the unknown: (3x)^3=81^2x-5, 7^2x+1=49^3x-2,
Answer:
this is my attempt, it might not be right, so please dont be mad if wrong
Step-by-step explanation:
27 * x^3 = 6561x-5 , 49x + 1 = 117649x-2
what is the answer to 12.4-8.96?
Answer:
3.44
Step-by-step explanation:
12.40 - 8.96 = 3.44
I hope this helped, please mark Brainliest, thank you!
Plz help me with this
Answer:
the answer will be this
20. Which of the following lines is parallel to the
line 4x + y = 5?
A. y = 4x - 2
B. y =
= 4x + 9
C. y =
1
X +8
4
1
D. y=-**-1
Can someone please help me with this
PLEASE HELP I ONLY HAVE 20 MINUTES!!!
Answer:
False
Step-by-step explanation:
% is when you multiply.
This is wrong.
Hope this helps plz hit the crown :D
What is the Estimating Root of 770? Like what is the square root of 770 in between.
Answer:
Step-by-step explanation:
square root of 770 is 27.748873851
in between would be.... square root of 25= 5
square root of 36= 6
Find the slope of a line that is perpendicular to the line
y = -1/8x +3
Answer:
The slope of a line that is perpendicular to the line
y = -1/8x +3 will be: 8
Step-by-step explanation:
Given the equation
y = -1/8x +3
comparing the equation with the slope-intercept form
[tex]y=mx+b[/tex]
Here,
m is the slope y is the interceptso the slope of the line is -1/8.
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be:
[tex]\frac{-1}{\frac{-1}{8}}=8[/tex] ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}[/tex]
Therefore, the slope of a line that is perpendicular to the line
y = -1/8x +3 will be: 8
HELP HELP HELP HELP HELP ME HELP ME
Answer:
30
Step-by-step explanation:
SLOPE PLZ !!!!!!!!!!!
Answer:
-3/4
Step-by-step explanation:
Rise / run
Hope this helps. Pls give brainliest.
1) Solve this system of linear equations by elimination.
2x+4y=8
3x=12+4y
*x=4,y=0
*x=3,y=1
*x=3,y=0
*x=4,y=1
please answer step by step
Step-by-step explanation:
2x+4y=8
3x-4y=12
2x+4y+3x-4y=8+12
cancel +4y and -4y
therefore 2x+3x=20
5x=20
x=20/5
x=4
Sibstituting x=4 in 2x+4y=8
2x+4y=8
2*4+4y=8
8+4y=8
4y=8-8
y=0/4
y=0
x=4
y=0
To support a local senior citizens center, a student club sent a flyer home to the n students in the school. The flyer said, "Please bring in money to support the senior citizens center. Paper money and coins accepted!" Their goal is to raise T dollars. Match each quantity to an expression, an equation, or an inequality that describes it. A: the dollar amount the club would have if they reached half of their goal 1: B: the dollar amount the club would have if every student at the school donated 50 cents to the cause 2: C: the dollar amount the club could donate if they made $50 more than their goal 3: D: the dollar amount the club would still need to raise to reach its goal after every student at the school donated 50 cents 4: E: the dollar amount the club would have if half of the students at the school each gave 50 cents 5: Which statement matches with T + 50?
Answer:
the dollar amount the club would have if they reached half of their goal T + 50
the dollar amount the club would have if every student at the school donated 50 cents to the cause 0,5T
the dollar amount the club could donate if they made $50 more than their goal 0.25n
the dollar amount the club would still need to raise to reach its goal after every student at the school donated 50 cents 0.5n
the dollar amount the club would have if half of the students at the school each gave 50 cents T - 0.5n
Step-by-step explanation:
the dollar amount the club would have if they reached half of their goal T + 50
the dollar amount the club would have if every student at the school donated 50 cents to the cause 0,5T
the dollar amount the club could donate if they made $50 more than their goal 0.25n
the dollar amount the club would still need to raise to reach its goal after every student at the school donated 50 cents 0.5n
the dollar amount the club would have if half of the students at the school each gave 50 cents T - 0.5n
someone help me please!
Answer:
To solve the first inequality, you need to subtract 6 from both sides of the inequality, to obtain 4n≤12. This can then be cancelled down to n≤3 by dividing both sides by 4. To solve the second inequality, we first need to eliminate the fraction by multiplying both sides of the inequality by the denominator, obtaining 5n>n^2+4. Since this inequality involves a quadratic expression, we need to convert it into the form of an^2+bn+c<0 before attempting to solve it. In this case, we subtract 5n from both sides of the inequality to obtain n^2-5n+4<0. The next step is to factorise this inequality. To factorise we must find two numbers that can be added to obtain -5 and that can be multiplied to obtain 4. Quick mental mathematics will tell you that these two numbers are -4 and -1 (for inequalities that are more difficult to factorise mentally, you can just use the quadratic equation that can be found in your data booklet) so we can write the inequality as (n-4)(n-1)<0. For inequalities where the co-efficient of n^2 is positive and the the inequality is <0, the range of n must be between the two values of n whereby the factorised expresion equals zero, which are n=1 and n=4. Therefore, the solution is 1<n<4 and we can check this by substituting in n=3, which satisfies the inequality since (3-4)(3-1)=-2<0. Since n is an integer, the expressions n≤3 and n<4 are the same. Therefore, we can write the final answer as either 1<n<4, or n>1 and n≤3.
How to find the gradient plz
To calculate the gradient of a straight line we choose two points on the line itself. From these two points we calculate: The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates). If the answer is a positive value then the line is uphill in direction
Step-by-step explanation:
what lynpr5 said
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