Answer:
Let m and r represent the maximum speeds of Malcolm and Ravi in km/h, respectively.
... (m + r)/2 = 260 . . . . . the average of their speeds was 260 kph
... 2m = r + 80 . . . . . . . . double Malcolm's speed is 80 kph more than Ravi's
The second equation can be solved for r and that expression substituted into the first equation.
... 2m - 80 = r . . . . . . . . . . . an expression for r from the second equation
... (m + 2m - 80)/2 = 260 . . . the result of substituting that into the first
... 3m - 80 = 520 . . . . . . . . multiply by 2
... m = 200 . . . . . . . . . . . . . add 80 and divide by 3
... 2·200 - 80 = r = 320 . . .substitute the value of m into the expression for r
Malcolm's maximum speed was 200 km/h.
Ravi's maximum speed was 320 km/h.
Step-by-step explanation:
Shannon’s mom took her to dinner for her birthday. Their dinners totaled $80 and sales tax was 5%. If Shannon’s mom left a 20% tip on the cost of their dinners before tax, how much money did she spend in all?
Answer:
100 dollars.
Step-by-step explanation:
First you multiply 80 by 5% which is 4. Then you multiply 80 by 20% which is 16. Then you add it all together which gives you $100.
What is the area of the shape?
Answer:
65
Step-by-step explanation:
9×(5+4) - ½ × 4 × 3 - ½ × 4×5
= 81-6-10
= 65
so the answer is 65(the area of the shape)
i hope that this answer can help you
Answer:
43200
Step-by-step explanation:
We multiply all the sides
I am not sure about this but try it.
Can you solve... 4(-6g-10h)+3h-4(-3h-10g)
Answer:
16g - 28h
Step-by-step explanation:
4 ( -6g - 10h ) + 3h - 4 ( -3h - 10g) = -24g - 40h + 3h +12h + 40g
= 16g - 28h
This is pretty simple, all you need to do is distribute the values from the parenthesis and get simplify the variables
What is the difference between vertical and perpendicular?.
Answer:
Vertical is straight up and down line or object
Perpendicular is more at an angle of 90 degrees to a line, plane, or surface ect
please help me, i only have 30 mins.
Answer:
Width is 24, length is 40
Step-by-step explanation:
64 can be split into 8 groups of 8, and the 8 groups can be split into 3 and 5. Then, take 3 x 8 for the width and 5 x 8 for the length, and you have the answer! I wish to you best of luck!
The relation shown in the table represents what a local electrician charges each hour of work. The electrician charges 30$ service fee and then 25$ for each hour he worked
(Identifie independent variable)
Using it's concept, it is found that the independent variable is the number of hours worked.
What is the relation between a function and the dependent and independent variables?A function has the following format: y = f(x).
In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.
That is, the input of the function is the independent variable and the output is the dependent variable.
In this problem, the input is the number of hours worked and the output is the salary, hence, the independent variable is the number of hours worked.
More can be learned about independent variables at https://brainly.com/question/1429012
The mayor knows the area needed for a flower garden in the park she wants the base to be certain length how can she determine the necessary heifht to get the correct area of the flower garden? Explain
Answer:
If the mayor knows the area and length of the base of the flower garden, she can divide the area by the length to determine the height
Step-by-step explanation:
Area = Length • Height
divide both sides by Length
Area/Length = Height
Answer:
First, she starts with the formula for area for the specific shape in the problem. Then, substitute the area and the base into the formula. Finally, she can solve the resulting equation for the height.
Sorry i'm really late with a answer but i hope it helps people
:)
Write a story problem to go with the multiplication problem. 5x 3/4 Then solve the problem.
Story : Your mother just bought you 5 pizzas to celebrate your A+ grade :). And you decided to do a challenge your mother told you to : Every minute, you will have to eat 3/4 of a pizza. After 5 minutes, how much of the 5 pizzas did you eat?
Answer : 5 x 3/4 = 15/4
Santosh brought 300 dotpens for Rs 4500. He sold 200 of them at a loss of 5%. At what rate should he sell the remaining dotpens so as to gain 10% an the whole.
Santosh must sell the remaining dotpens with a surplus of 40 % to gain 10 % on the whole.
How to calculate the gain of selling dotpensWe know that Santosh sold 200 dotpens with a loss of 5 % and he must sell the remaining dotpens with an unknown surplus in order to obtain 10 % of the whole. The situation can be represented by the following expression:
[tex]-0.05\cdot (\frac{4500}{300} )\cdot (200) + x\cdot \left(\frac{4500}{300} \right)\cdot (100) = 0.10\cdot (4500)[/tex] (1)
[tex]-150+1500\cdot x =450[/tex]
[tex]x = 0.4[/tex]
Santosh must sell the remaining dotpens with a surplus of 40 % to gain 10 % on the whole. [tex]\blacksquare[/tex]
To learn more on linear equations, we kindly invite to check this verified question: https://brainly.com/question/17058347
Jamil traveled 210 miles, which is 70% of the total distance to his grandfather's house.
How many more miles does Jamil need to travel to reach his grandfather's house?
Step-by-step explanation:
210 of 70%
or,210×70/100
or,147
Michelle bought five packs of crayons for $16.25 What is the cost of a pack of crayons, in dollars, if all the packs cost the same?
Answer:
Michelle bought a pack of crayon for $3.25
Step-by-step explanation:
Number of packs = 5
The cost of a pack of crayons =
(Cost of 5 packs of crayon) / (number of packs of crayons)
The cost of a pack of crayons = ($16.25 ) / 5
The cost of a pack of crayons = $16.25 / 5
The cost of a pack of crayons = $3.25
Solve:
q-6/5=1/12
A. 7/17
B. 7/60
C. 1 17/60
D. -1 17/60
Answer:
The choice C .
[tex]1 \frac{17}{60} [/tex]
Step-by-step explanation:
[tex]q - \frac{6}{5} = \frac{1}{12} \\ \\ q = \frac{1}{12} + \frac{6}{5} \\ \\ q= \frac{5}{60} + \frac{72}{60} = \frac{77}{60} = 1 \frac{17}{60} [/tex]
Answer:
q = 1 [tex]\frac{17}{60}[/tex]
Step-by-step explanation:
q - [tex]\frac{6}{5} = \frac{1}{12}[/tex]
Add [tex]\frac{6}{5}[/tex] to both sides.
q = [tex]\frac{1}{12} + \frac{6}{5}[/tex]
The least common multiple of 12 and 5 is 60. Convert [tex]\frac{1}{12}[/tex] and [tex]\frac{6}{5}[/tex] to fractions with denominator 60.
q = [tex]\frac{5}{60} + \frac{72}{60}[/tex]
Since [tex]\frac{5}{60}[/tex] and [tex]\frac{72}{60}[/tex] have the same denominator, add them by adding their numerators.
q = [tex]\frac{5 + 72}{60}[/tex]
Add 5 and 72 to get 77.
q = [tex]\frac{77}{60}[/tex]
Add the 1 and you get:
1 [tex]\frac{77}{60}[/tex]
Hope it helps and have a great day! =D
~sunshine~
A. The electric clothes dryer you are interested in buying costs $300 with tax.
It uses $0.50 of electricity for one hour of drying.
What is the rate of electric use (slope)?
B. What is your beginning cost (y-intercept)?
C. Write this as a linear equation in y = mx + b form.
Answer:
A. 0.5/hour
B. 300
C. y=0.5x+300
So if you have 1500 ML then how many liters will you have?
i need help with my home work
Answer:
I would say 3
Step-by-step explanation:
ABC is a scaled down triangle of AED
Have an amazing day!
Please rate!
Can somebody help me please
Answer:
I will help you I. working on it just be pecient
30. 9, -27, 81, -243, ...
Find the next number
Answer:
729
Step-by-step explanation:
Write the recursive formula through the pattern:
[tex]a_{n+1}=-3a_{n}[/tex]
Find terms of sequence through 9, -27, 81, -243 :
729
I hope this helps you
:)
if 3 cubic centimeters fill the botton layer of a box and the box fits 6 layers what is the volume of the box
Answer: The volume is 2 because 3/6 equals 2
Step-by-step explanation: you would do 3/6 which equals 2.
plsss plsss plsss help
WILL GIVE 50 POINTS aluate the expression abc for a = –2.1, b = 4, and c = 0.5.
Answer:
-4.2
Step-by-step explanation:
abc means multiplication becuase theyre together so -2.1 x 4 x 0.5 and that equals -4.2.
Answer:
see below for explanation:-
Step-by-step explanation:
[tex]abc[/tex]
a=-2.1,b=4 and c=0.5[tex] - 2.1 \times 4 \times 0.5[/tex]
[tex] - 8.4 \times 0.5[/tex]
[tex] - 4.2[/tex]
Element X decays radioactively with a half life of 15 minutes. If there are 340 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 6 grams?
Answer: 57 min
i used a calculator.
Answer:
t=87.36643 ≈ 87.4 minutes
Step-by-step explanation:
y=a(.5)^{\frac{t}{h}}
y=a(.5)
h
t
y=6 \hspace{15px} a=340 \hspace{15px} h=15 \hspace{15px} t=?
y=6a=340h=15t=?
6=340(.5)^{\frac{t}{15}}
6=340(.5)
15
t
\frac{6}{340}=\frac{340(.5)^{\frac{t}{15}}}{340}
340
6
=
340
340(.5)
15
t
0.0176471=(.5)^{\frac{t}{15}}
0.0176471=(.5)
15
t
\log(0.0176471)=\log((.5)^{\frac{t}{15}})
log(0.0176471)=log((.5)
15
t
)
\log(0.0176471)=\frac{t}{15}\log(.5)
log(0.0176471)=
15
t
log(.5)
Power Rule.
15\log(0.0176471)=t\log(.5)
15log(0.0176471)=tlog(.5)
Multiply by 15.
\frac{15\log(0.0176471)}{\log(.5)}=\frac{t\log(.5)}{\log(.5)}
log(.5)
15log(0.0176471)
=
log(.5)
tlog(.5)
Divide by log(.5).
t=\frac{-26.299915}{-0.30103}
t=
−0.30103
−26.299915
t=87.36643\approx 87.4 \text{ minutes}
t=87.36643≈87.4 minutes
Please help me I need to pass geo abs I need help asap thanks
Answer:
x = 20
Step-by-step explanation:
3x - 10 + 5x + 30 = 180
8x = 180 - 20
8x = 160
x = 20
The initial amount of the function is 11, and then it decreases by a factor of 5/8
with each unit increase in x.
The function that describes the situation is y = ?
The linear function that represents the situation where is expressed as: y = 5/8x + 11.
What is a Linear Function?Given a relation that has initial value as b and m as the unit rate, a linear function that represents the relation is expressed as: y = mx + b.
Given:
Unit rate = m = 5/8Initial value = b = 11Substitute the values into y = mx + b.
y = 5/8x + 11
Thus, the linear function that represents the situation where is expressed as: y = 5/8x + 11.
Learn more about linear function on:
https://brainly.com/question/15602982
Factor: 28k^3-24k^2+49k-42
I will give Brainliest to the first person :)
Answer:
[tex](4k^2+7)(7k-6)[/tex]
Step-by-step explanation:
Factor each half of the expression separately:
[tex]4k^2(7k-6)+7(7k-6)[/tex]
Since both 4k² and 7 are being multiplied by (7k-6), we can combine them to get:
[tex](4k^2+7)(7k-6)[/tex]
Answer:
[tex](7k - 6) (4k^{2} + 7)[/tex]
Step-by-step explanation:
[tex]28k^{3} - 24k^{2} + 49k - 42[/tex]
[tex]= (28k^{3} - 24k^{2}) + (49k - 42)[/tex]
[tex]= 4k^{2} (7k - 6) + 7 (7k - 6)[/tex]
[tex]= (7k - 6) (4k^{2} + 7)[/tex]
Give the equation of a line which is perpendicular to y = 2x + 1
What is the measure of ∠ABD?
Answer: it will be 60
Sally bought 3 popcorns for a total of 18 dollars. How much does each box cost? Write an equation to solve the problem with c as your variable.
1 c+18=6
2 3c=18
3 18c=6
4 c+6=18
Answer:
Answer may be c+18=6
Step-by-step explanation:
If you reverse the equation to 18/3 you will get 6
Plssss will give Brainliest
Answer:
Step-by-step explanation:
The relationship that exists between the length of the hypotenuse and the length of the legs is that the sum of both of the legs lengths squared is equal to the hypotenuse length's squared or in other words, the Pythagorean theorem.
[tex]6^{2} +8^{2} =10^{2}[/tex]
Hope that helps!
Answer the following correctly :-)
What do linear pairs make
