It will take B 8 hours to travel in order to overtake A.
The relationship among the distance, time and speed can be expressed by using the relation.
[tex]\mathbf{speed = \dfrac{distance}{time}}[/tex]
In this kind of ratio relation, it is pertinent to understand that, the rise in a variable cause a decrease in the other, where the third variable is constant.
Here:
as speed (v) rises;time (t) decreases, and distance (d) is constantFrom the given relation:
Distance = speed × timeSo, we can have a table expressing the parameters given in the question as follows:
v t d
A 4 t+2 4t + 8
B 5 t 5t
Equating both distance together, we have:
4t + 8 = 5t
collecting like terms, we have:
4t - 5t = -8
t = 8 hours
Therefore, we can conclude that it will take B 8 hours to travel in order to overtake A.
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A smoothie recipe calls for 4 cups of milk, 3 frozen bananas and 2 tablespoons of chocolate syrup. Write 3 different sentences that use ratio to describe the recipe
Answer:
cool good me hungry i am kinda hungry
Step-by-step explanation:
How much does the state spend in tax dollars altogether?
a. 20 million dollars
b. 12 million dollars
c. 24 million dollars
d. 48 million dollars
Answer:
24 mill
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
Will give brainly,5 stars,and thank if it CORRECTLY PLEASE
Answer:
31.68
Step-by-step explanation:
1.4×9.15= 12.81
0.8×10.75= 8.6
2.6×3.95= 10.27
10.27+ 8.6+ 12.81= $31.68
Hope this helps!
Plz mark brainliest
Answer:
$31.68
Step-by-step explanation:
Multiply each by the correct number
almond= 1.4*9.15= 12.81
cashews= 10.75* 0.8= 8.6
Peanuts= 3.95 * 2.6= 10.27
Add them all up
12.81+8.6+10.27
you’ll get 31.68
35. What is the 40th term of the arithmetic sequence
-17,-47, -77, -107...
Answer:
40th term = -1187
antonio baked 150 muffins 46% are blueberry how many blueberry muffins did he bake
Answer:
69
Step-by-step explanation:
150*(0.46) = 69 blueberry muffins
FOR BRAINLIEST
А is equivalent to 0.001 grams.
milligram
kilogram
decigram
Answer:
one milligram
Step-by-step explanation:
Answer:
milligram
Step-by-step explanation:
1,000 mg = 1 g
1 mg = .001 g
Fred makes $750 a week working 5 days .How much does he make in one day
Answer:
$150
Step-by-step explanation:
750/5 = 150
What is the value of 24 + 32 - 52
What is the coefficient of the term x°ys in the
expansion of the binomial expression
(2x - y)8?
Answer:
if it is (2x-y)8
then it is 16x - 8y
[tex]x^0[/tex]y = 1.y = y
so the co efficient of y is -8
Step-by-step explanation:
I WILL MARK BRAINLIST PLS!!! + explain
Sarah is going to the food truck with her friends. Hot dogs cost $2 and drinks cost $3. She has a total of $24 that she can spend. The equation 2x+3y=24 represents this scenario.
What does y represent in this scenario?
Question 5 options:
the cost of a hotdog
number of drinks purchased
number of hot dogs purchased
the cost of a drink
Answer:
the number of drinks purchased
Step-by-step explanation:
Answer:
2, the number of drinks purchased.
Step-by-step explanation:
one drink costs $3, and since Sarah is going to the food truck with her friends, she needs to buy more than one drink. So, it would be 3 · y, y being the number of drinks she needs to buy.
i really need help... factor by the simplest form 46xy^5
Pat is saving money to buy a bicycle. The amount he has saved is shown in the table below.
Which of the functions below describe the amount A , in dollars, Pat has saved after t weeks?
Select all that apply.
A(t)=15+15(t−1)
A(t)=30+15(t−1)
A(t)=15+15t
A(t)=15+30t
A(t)=15t
Answer:
I think A and C
Step-by-step explanation:
Davina travelled 500 miles in 7 days. What is the average
distance travelled each day?
I need help completing this question.
Answer:
9.73556* 10^34
Step-by-step explanation:
A day and a half is 36 hours ( 1 day is 24 hours)
1.5 days is 24 * 1.5 = 36 hours
P(t) = 300 ( 2) ^ 3t
t = 36
p(36) = 300 * 2^ (3*36)
= 300 * 2^108
=9.73556* 10^34
emliy is thinking of a number which she calls n she find 1/4 of the number and then subtracts 3. write an expressions that represents emlily number.
Answer:
1/4 n - 3.
Hope this helps, sorry if it doesn't.
write an equation in slope intercept form for the line that passes through the point, and is perpendicular to the line y=-1/3x+9;(-6,-2)
Answer:
Step-by-step explanation:
y=-1/3x+9
This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3). The new slope is 3. equation is:
y = 3x + b
To find b, enter the given point, (-6,-2) and solve for b:
y = 3x + b
-2 = 3(-6) + b
-2 = -18 + b
b = 16
The full equation is y=3x + 18
what is the following product 3 sqrt 4 times sqrt 3
Answer:
c on edge YW
Step-by-step explanation:
The value of ∛4 × √3 is 2.75 or [tex]\sqrt[6]{432}[/tex].
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given;
Expression,
product 3 sqrt 4 times sqrt 3.
In numerator form:
As per the given expression,
∛4 × √3
Simplifying,
∛4 × √3
= [tex]4^{1/3}[/tex] x [tex]3^{1/2}[/tex]
= [tex]4^{2/6}[/tex] x [tex]3^{3/6}[/tex]
= [tex]\sqrt[6]{16 + 27}[/tex]
= [tex]\sqrt[6]{432}[/tex]
= 2.749
= 2.75
Therefore, the product is 2.75 or [tex]\sqrt[6]{432}[/tex].
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Find all x-intercepts of the function. Express your answer as a list of x-values.f(x)=4x^4-64
Answer:
[tex]x=\pm2[/tex]
Step-by-step explanation:
[tex]f(x)=4x^4-64[/tex]
[tex]0=4x^4-64[/tex]
[tex]0=x^4-16[/tex]
[tex]16=x^4[/tex]
[tex]\pm2=x[/tex]
Solve for x
−4x+60<72 OR 14x+11<-31
Answer:
x ≠ -3
Step-by-step explanation:
Adding 4x-72 to the first inequality gives ...
-12 < 4x
-3 < x . . . . . divide by 4
Adding -11 to the second inequality gives ...
14x < -42
x < -3 . . . . divide by 14
Now we have ...
x < -3 or x > -3
The solution is x ≠ -3.
_____
The graph of the solution set is the entire number line with a "hole" at -3. The number -3 is the only value not part of the solution set.
00
3 A total of 30 shirts were recently sold at Friday night's football game. Each adult shirt cost
$11.50 and each youth shirt cost $9.45. The total revenue was $324.50.
of two equations that can be used to solve for the number of A (adult) shirts
Answer:
number of adult shirts sold (a) = 20
number of youth shirts sold (b) = 10
Step-by-step explanation:
a = number of adult shirts sold
y = number of youth shirts sold
30 = a + y
$324.50 = 11.50a + 9.45y
This is the resulting system of equations from the given information in the problem.
Solve for y in the first equation and then substitute the equation for y into the second equation :
a+y=30 --> y=30-a
324.50 = 11.50a + 9.45(30-a)
Solve for a.
324.50 = 11.50a + 283.5 - 9.45a
41 = 2.05a
a = 20
Now that we have solved for a, we can back substitute into our equation for y and solve.
y=30-(20)
y = 10
CHECK:
(20)+(10) = 30 True
(11.50)(20) + (9.45)(10) = 324.5 True
What is the solution to -2(8x – 4) < 2x + 5?
o xs
oxca
O x>6
O x<6
[tex]-2(8x-4)<2x+5\\\\\implies -16x+8<2x+5\\\\\implies -16x+8-5<2x\\\\\implies 3<2x+16x\\\\\implies 3<18x\\\\\implies \dfrac3{18} <x\\\\\implies \dfrac 16 <x\\\\\implies x> \dfrac 16[/tex]
Kimi and Jordan are each working during the summer to earn money in addition to
their weekly allowance, and they are saving all of their money. Kimi earns $9 per hour
at her job, and her allowance is $8 each week. Jordan earns $7 per hour, and his
allowance is $16 each week.
Their earnings would be the same after 4 hours
Let the number of hours be x, and the weekly earning be y
So, the given parameters are:
Kimi
Earnings = $9 per hourWeekly allowance = $8So, the equation for Kimi's weekly earning is:
[tex]y =9x + 8[/tex]
Jordan
Earnings = $7 per hourWeekly allowance = $16So, the equation for Jordan's weekly earning is:
[tex]y = 7x + 16[/tex]
Equate both equations
[tex]7x + 16 = 9x + 8[/tex]
Collect like terms
[tex]9x - 7x = 16 - 8[/tex]
[tex]2x =8[/tex]
Divide both sides by 2
[tex]x =4[/tex]
Hence, their earnings would be the same after 4 hours
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From a can containing 10 liters of milk, mrs menon used 3.8 litres in the morning and 2.3 litres in the evening how many hectolitres of milk is in the can?
Plz write the steps cause i want to understand it bcuz tomorrow is my exam
Answer:
0.039 hectolitres are left in the can
Step-by-step explanation:
One hectolitre equals 100 liters
The can:
10-3.8-2.3=3.9 liters
In hectolitres:
3.9/100 = 0.039
Hope this helps
An air-conditioning and heating company has a fixed monthly cost of 4,000. Furthermore, each service call costs the company 25 .
all you need to do is 4000÷25=160
The linear equation in slope-intercept form is: y = 25x + 4000.
The linear equation in slope-intercept form to compute the total cost, y, for 1 month if x service calls are made can be written as:
y = mx + b
m represents the slope of the line, which represents the cost per service call.
Since each service call costs the company $25, the slope (m) is 25.
b represents the y-intercept, which represents the fixed monthly cost. In this case, the fixed monthly cost is $4000.
Therefore, the linear equation in slope-intercept form is: y = 25x + 4000
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Which inequality is true when x = 4?
Answer:
x + 5 < 3
Step-by-step explanation:
One inequality could be x > 3. So when x = 4 this is true because 4 is greater than 3.
HEELPPP PPPPLSSSS AHHH
Answer:
3
Step-by-step explanation:
18/6=3
Please help!! I need this ASAP
Answer:
a= 2.5 times 42
Step-by-step explanation:
i had this class last year
Please help! I’m so confused.
Answer: M = 12.50
Step-by-step explanation:
If a dozen exercise books cost $144, what will 14 of the same books cost? *
Answer:
$168
Step-by-step explanation:
1 dozen = 12
proportions
12 books ⇔ $144
14 books ⇔ $B
B = 144*14/12
B = $168
Pilar used five reusable shopping bags on a recent purchase she made at a grocery store. Each bag decreased the amount she spent by 5 cents. What was the change to the amount Pilar spent at the grocery store by using the reusable bags?
A.
-10 cents
B.
25 cents
C.
-25 cents
D.
10 cents
Answer:
B
Step-by-step explanation:
5x5 = 25
She used 5 bags and saved 5 cents on each one.
1 - 5, 2 - 10, 3 - 15, 4 - 20, 5 - 25.
Hope that helps