Answer;
They will be 0.5x miles away from each other
Explanation;
Since the dog runs twice the speed of the cat
Its speed will be 2 * x = 2x mph
Now we want to know how far they will be from each other after 30 minutes
Kindly note that 30 minutes is 1/2 hour
Mathematically;
distance = speed * time
Distance of cat = x * 1/2 = 0.5x miles
Distance of dog = 2x * 0.5 = x miles
The dog is x - 0.5x miles = 0.5x miles away from the cat
They will be 0.5x miles away from each other.
Calculation of the distance:Since Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.
So here the speed of the dog should be 2x
Now we know that
[tex]Distance = speed \times time\\\\[/tex]
Here distance of cat should be x of 30 minutes or half hour = 0.5x miles
And, Distance of dog should be 2x of 0.5 = x miles
So, the difference should be
= x - 0.5
= 0.5x miles
hence, They will be 0.5x miles away from each other.
Learn more about speed here: https://brainly.com/question/1825528
8
Three friends, Cleopatra, Dalila and Ebony go shopping.
The money they each have is in the ratio
Cleopatra : Dalila : Ebony = 5:7:8.
Cleopatra has $17.
(a) How many dollars do they have in total?
(b) Dalila spends $12 on a hat.
How many dollars does she have left?
(CIE Paper 1, Nov 2005)
Total number of parts = 5 + 7 + 8 = 20
Let the sum of the money with them be = x
Cleopatra has =
= 5/20 of x = $17
= 5/20x = 17
= 1/4x = 17
= 1x = 17 × 4 ( transposing ÷4 from LHS to RHS changes ÷4 to ×4 )
= x = 68
Therefore , they have $68 in total .
Solution (b) :Total number of parts = 5 + 7 + 8 = 20
Parts with Dalila = 7/20
Money with Dalila =
= 7/20 of 68
= 7/20 × 68/1
= 476/20
= 23.8
Dalila has $23.8 with her .
Money she spends on a hat = $12
Money left with her =
= 23.8 - 12
= 11.8
Therefore , Dalila has $11.8 left with her , after she buys a hat .
Solution to the problems in the comment box :-
Solution (1) :Ratio of cement to sand to aggregate to water = 2:5:8:1
Total parts = 2 + 5 + 8 + 1 = 16 parts
Number of parts for aggregate = 8/16
Then the aggregate needed by Bobbie =
= 8/16 × 1.2
= 1/2 × 1.2
= 1.2 as a fraction will be 6/5
= 1/2 × 6/5
= 6/10
6/10 as a decimal = 0.6
Therefore , Bobbie needs 0.6 cube of meter .
Solution (a) :Cement : sand : aggregate : water = 2:5:8:1
Total parts = 16
Number of parts for cement = 5/16
Let the quantity of concrete be = x
Then ,
Cement =
= 5/16 of x
= 5/16x = 0.25 meter cube
= x = 0.25 × 16/5
= x = 25/100 × 16/5
= x = 1/4 × 16/5
= x = 16/20
= x = 4/5
4/5 as decimal = 80/100 = 0.08
Cement needed by Eddie = 0.08 cubic meter .
Quantity of water Eddie will need =
= 1/16 × 0.08
= 1/16 × 80/100
= 1/16 × 8/10
= 8/60
= 0.13
Water needed by Eddie = 0.13 cubic meter .
Quantity of aggregate needed by Eddie =
= 8/16 × 80/100
= 1/2 × 8/10
= 8/20
= 40/100
= 0.04
Aggregate needed by Eddie = 0.04 cubic meter .
Quantity of sand Eddie will need =
= 5/16 × 80/100
= 5/16 × 8/10
= 40/160
= 0.25
Quantity of sand needed by Eddie = 0.25 cubic meter .
Therefore , Eddie will need 0.25 cubic meter of sand , 0.04 cubic meter of aggregate ,0.13 cubic meter of water along with 0.25 cubic meter of cement to make concrete .
Solution (b) :When water and aggregate has been added the quantity of concrete =
= 0.13 + 0.04
= 0.07
Therefore , when water and aggregate has been added the quantity of concrete will be 0.07 cubic meter .
HELP I ONLY HAVE 5 MINUTES TO TURN THIS IN, ILL MARK U AS BRAINLIEST
Answer:
That ain't gonna fit in the box because the side is 19.3cm and the side of the box is 15 cm,also its to tall
A group of students must collect at least $ 150 to organize a science fair. They have alre that the students should still collect to organize the Science fair? O -210-180-150-120-9060-30 30 60 90 120 150 180 210 -210-180 -150-120-90 90-60-30 0 30 60 90 120 150 180 210 O -210-180-150-120 90 -60-30 0 30 60 90 120 150 180 210 O H -210-180-150-120 90 60 30 0 30 60 90 120 150 180 210
THE ANSWERS (B.) i took the test surprisingly got it right
Answer:
it is b
Step-by-step explanation:
hope it helps
In January Mr Patel's electricity meter reading is 36 517. During the next three months he uses 1 084 units of electricity. a) What is the reading on his meter at the end of these three months? b) In Janurary Mr Patel'a gas meter reading is 51 314. Three months later it is 51 809. How many units of gas has he used? c) Electricity costs 12 pence per unit. Gas costs 8.6 pence per unit. Work out the total cost of Mr Patel's gas and electricity for these three months. Give your answer in pounds.
Answer: 172.65 pound
Step-by-step explanation:
a. What is the reading on his meter at the end of these three months?
January's electricity meter reading = 36,517.
Electricity used for next three months = 1 084 units
Meter reading at the end of the three months will be:
= 36517 + 1084
= 37601
b. In Janurary Mr Patel'a gas meter reading is 51 314. Three months later it is 51 809. How many units of gas has he used?
This will be:
= 51,809 - 51,314
= 495 units
c. Electricity costs 12 pence per unit. Gas costs 8.6 pence per unit. Work out the total cost of Mr Patel's gas and electricity for these three months.
Electricity used for next three months = 1 084 units
Gas used for next three months
= 495 units
Cost = (1084 × 12pence) + (495 × 8.6 pence)
= 13008 pence + 4257 pence
= 17265 pence = 172.65 pound
Antonia buys a 5-pound bag of onions at the store for $2.65. To the nearest cent, how much did she pay for 1 pound of onions?
Answer:
Around .53 cents for 1 pound
Step-by-step explanation:
Answer:
53 cents
Step-by-step explanation:
2.65 divided by 5 is .53 (53 cents)
Therefore, Antonia payed 53 cents for 1 pound of onions. Honestly though, I think Antonia is kinda gross... I mean 5 POUNDS OF ONIONS?!?!? Disgusting.
what is the point if (2,0) gets rotated 180° clockwise
Answer:
The point is (0,-2)
Min Jee wants to build a small patio. It will be 70 inches long and 49 inches wide. She can't decide whether to use brick or concrete paver stones. Each brick covers an area of 3 1/2inches by 7 1/2 inches and costs $0.59. Each paver covers an area 8.4 inches by 8.4 inches and costs $1.88. Which would be less expensive to use, and by how much?
Step-by-step explanation:
firstly, let us solve for the area of the patio, from the information given the patio we have a rectangular orientation.
Area of patio
length=70in
width=49in
Area=70x49
Area=3430in^2
Area of brick
length=7.5in
width=3.5in
Area=7.5x3.5
Area=26.25in^2
Amount of brick needed =3430/26.25
Amount of brick needed =130.66
The Total cost of brick=130.66x0.59
The Total cost of brick=$77.09
Area of paver
length=8.4in
width=8.4in
Area=8.4x8.4
Area=70.56in^2
Amount of brick needed =3430/70.56
Amount of brick needed =48.61
The Total cost of brick=48.61x1.88
The Total cost of brick=$91.38
Brick would be less expensive by =91.38-77.09= $14.29
Question 40 of 47
What are the solutions to the quadratic equation below?
12x^2+4x-5=0
HELP MEH BRAINLIEST ANSWERS
Answer:
Not sure if this has been answerd but its 6
Step-by-step explanation:
if u are really gonna give brain that would be cool
m= 4/5 - 2/5
————- = ?
-1 - -2
Answer:
2/5 = 4/5 - 2/5 = m
hey can someone help cus ive been asking this same question for an hour and everyone who responded didnt give a real answer-
=============================================
Work Shown:
Let's call the "height" to be the "width".
The area of a rectangle is
area = length*width
We're told the width is 8.5 feet
If the length is some unknown variable L, then
area = length*width
area = L*8.5
area = 8.5L
We want the area to be at least 76.5 square feet
This means 8.5L is either equal to 76.5, or larger than it
[tex]\text{ area } \ge 76.5\\\\\\8.5L \ge 76.5\\\\\\\frac{8.5L}{8.5} \ge \frac{76.5}{8.5} \ \ \text{ ... divide both sides by 8.5}\\\\\\L \ge 9\\\\\\[/tex]
This shows the length can be 9 feet or larger.
In other words, the minimum length is 9 feet.
At the beginning of a snowstorm, Madeline had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Madeline have on her lawn 5 hours after the snow began to fall? How much snow would Madeline have on her lawn after
t
t hours of snow falling?
Answer:
y= 11+t.05. t= hours of snow
-------------------
y= 11 + 5 (.05)
y= 11 + 2.5
y= 13.5
What is the reflection?
Answer:
u' = (-1, -4) , v' = (2, -4), w' = (2, -7)
Step-by-step explanation:
Please answer quickly!
Find the equation of the line.
Y=__x + __
Answer:
y = 3x + 3
Step-by-step explanation:
Using slope intercept form: y = mx + b
where m is the slope(rise over run/change in y over change in x), and b is the y intercept(point where x is 0). We can derive the equation by simply using our mathmatical principles of slope and y intercept. Because our y intercept is where x is 0. Our y intercept is 3 since x is 0 when y is 3 because it touches the axis. Since y is 6 when x is one.
y = mx + b
6 = m(1) + 3
-3 -3
_________
3 = m
_________
m = 3
_________
An m of 3 means that you rise 3 every 1 run or 3y every 1x.
Therefore, our equation in slope intercept is:
y = 3x + 3
HELP PLZZZ ITS DUE IN LIKE 5 MINS
Answer:
8
Step-by-step explanation:
It is giving you the Y so just look horizontal where the linear hits it
8-d≥-3d+4 solve the inequality
Answer:
[tex]d \geqslant - 2[/tex]
Step-by-step explanation:
[tex]8 - d \geqslant - 3d + 4 \\ 2d \geqslant - 4 \\ d \geqslant - 2[/tex]
Can you guys help me factor this or come close to it? Would greatly appreciate it. x²+6²+10x +5
Answer:
this expression is not factorable luv :)
Step-by-step explanation:
Jessica is riding a taxi and is being charged the same rate
per mile traveled
• After 1 mile, she owes $8
• After 2 miles, she owes $14
• After 3 miles, she owes $20
Which function represents the amount she owes after riding
n miles?
Select one:
A: A(n) = 6 - 8
B: A(n) = 6n + 14
C: A(n) = 8
D: A(n) = 6n + 2
Answer:
D
Step-by-step explanation:
Answer:
D: A(n) = 6n + 2
Step-by-step explanation:
A is incorrect because: A(1)= 6(1)-8 is equal to -2 not 8
B is incorrect because: A(1)= 6(1)+14 is equal to 20 not 8
C is incorrect because: A(2)= 8(2) is equal to 16 not 14
D is correct because: A(1)= 6(1)+2 is equal to 8 which is correct,
A(2)=6(2)+2 is equal to 14 which is correct,
A(3)=6(3)+2 is equal to 20 which is also correct
Hope this helps
B. In Buffalo, New York, the temperature was -14°F in the morning. If the temperature
dropped 7°F, what is the temperature now? ( 1 mrks)
Answer:
-21
Step-by-step explanation go up in negitive #s just stay in negitive
-14,-15,-16,-17,-18,-19,-20,-21!
what percent is equivalent to 1/20
Answer:
1/20 is 5%
Step-by-step explanation:
1/20 = 5%
20/20 = 100%
100 ÷ 20 = 5%
1/20 x 100 = 0.05 x 100 = 5%
Step-by-step explanation:
[tex]1 \div 20 =( 1 \times 5) \div (20 \times 5) = \\ 5 \div 100 = 5\%[/tex]
What is the next fraction in this sequence? Simplify your answer. 3/20 , 3 /10 , 9 /20, 3/ 5 , ___ .
Answer:
the next fraction is 3/4
Answer:
3/4
Step-by-step explanation:
The sequence is added on 3/20.
If you don't simplify 3/5 you get 12/20 add 3/20 to get 15/20.
Then simplify to get 3/4.
Will give BRAINLIEST if right!
Find f(1/2) for f(x) = -3x^3 + 2x^2
What is the value of a such that the point (a, 4) is part of the solution set for the equation 4x + 2y
36?
-8
-2
7
10
Answer:
7
Step-by-step explanation:
Given expression:
4x + 2y = 36
coordinates = (a,4)
Solution:
From the given coordinates;
x = a
y = 4
4x + 2y = 36
Substitute for the values and find "a"
4a + 2(4) = 36
4a + 8 = 36
4a = 36 - 8
4a = 28
a = 7
The solution is 7
Miss sally waited on a large at the chesterfield Restaurant. The party bill totaled $110.00. As the party was pleased with the service they received, they tipped Miss sally 20% what amount did miss sally receive as her tip ? Explain your answer
Answer: $22.00
Steps: Miss Sally received $22.00 as her tip. Multiply 110 by .20 to find the percent she received.
plz mark brainliest:)
Rectangle ABCD is shown on the coordinate grid, Rectangle ABCD is
rotated 90° clockwise about the origin to form Rectangle A'B'C'D'. Which
quadrant contains Rectangle A'B'C'D?
Quadrant
Quadrant II
Quadrant III
Quadrant IV
SOLVE PLS I WILL GIVE BRAINIEST AND 5 STARS
Solve for b:
3.5b + (-8) = (-6.25b) - 6.5
Solve for x:
-5x + 3 > (-7x) - 12
Answer:
1)b=0.153846
2)x > -15/2
Step-by-step explanation:
I used this site called math-
way
Kevin and monica lead visitor tours at a museum. Last month, both kevin and monica led the same number of vistors. Kevin lead 150 adults, plus 6 student groups. Monica led 134 adults, plus 8 student groups. If each student group had the same number of students, which equation could be used to determine the number of students in each group?
Answer:
Number of students in each group = 8
Step-by-step explanation:
kevin and monica led the same number of vistors.
Let x = number of students in each group
Kevin lead 150 adults, plus 6 student groups.
150 + 6x
Monica led 134 adults, plus 8 student groups.
134 + 8x
Equate both equations
150 + 6x = 134 + 8x
Collect like terms
150 - 134 = 8x - 6x
16 = 2x
Divide both sides by 2
x = 16 / 2
= 8
x = 8
Number of students in each group = 8
the farm covers an area of 13square miles. The farm is divided into 4 equal sections, as shown in this diagram. What is the area, in square miles, of each section?
Answer:
p[
Step-by-step explanation:
p[
Tamara bought yarn for $39 and 2 pairs of knitting needles. Her total cost for the yarn and knitting needles was $69. Tamara writes an equation that represents the cost of each pair of knitting needles. If k represents the cost of each pair of knitting needles, which statements about verifying the value of k are true? Check all that apply.
Tamara should substitute k = 30 into the equation 39 + 2 k = 69.
After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is equal to the right side.
Tamara should substitute k = 15 into the equation 39 + 2 k = 69.
After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is not equal to the right side.
To verify the solution to the equation, Tamara multiplies the solution by 2 and then adds it to 39. Then, she checks that it is equal to 69.
To verify the solution to the equation, Tamara adds the solution to 2 and then adds it to 69. Then, she checks that it is equal to 39.
Answer: 1,3,5
Step-by-step explanation:
Just took the quiz
Answer:
2,3,5
Step-by-step explanation: i got it right on my test
i hope this helps sorry if it didn't
12. Which of the following numbers is largest?
(a) 1.099
(b) 1.11
©). 1.106
(d) 0.99
(e) 1.009
Please show the work