Given :
Rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated.
To Find :
How many hours must have passed if there are 5 inches of rain .
Solution :
Let , after x hours rain accumulated is 5 inches .
We know , general equation of line :
y = mx +c
Here , m = 0.5 and c = 1 .
So , equation of rain accumulated is :
[tex]y=0.5x+1[/tex]
Now , putting value of x = 5 hours .
We get :
[tex]y=0.5\times 5+1\\\\y=2.5+1=3.5\ inches[/tex]
Hence , this is the required solution .
Answer:
0.5h+1.5=5
1.5h+0.5=5
A person standing on a moving walkway travels 80 feet in 40 seconds. What equation represents the relationship? How many feet will a person travel in 10 seconds?
Answer:
Option B. y = 2x; 20 feet
Step-by-step explanation:
1. Determination of the equation that represents the relationship.
Let y be the distance travelled.
Let x be the time taken.
Let K be the speed.
From the question given above, the following data were obtained:
Distance (y) = 80 ft
Time (x) = 40 s
Speed (k) =.?
Speed = Distance /time
K = y/x ......... (1)
K = 80/40
K = 2 ft/s
Substitute the value of k into equation 1
K = y/x
K = 2 ft/s
2 = y/x
Cross multiply
y = 2x
Therefore, the equation that represents the relationship is y = 2x
2. Determination of the distance travelled in 10 s.
Speed (k) = 2 ft/s
Time (x) = 10 s
Distance (y) =.?
y = 2x
y = 2 × 10
y = 20 ft
Therefore, the person will travel 20 feet in 10 seconds.
From the above calculations, the right answer to the question is
Option B. y = 2x; 20 feet
Write x2 + 6x – 7 in the form (x + a)+b where a and b are integers.
Answer:
(x+0.2)+7.8 is the correct answer la
I need help with this one.
Answer:
y=(-4/1)x-5
Step-by-step explanation:
You need to find the slope of the line and the y intercept, you can do this by plotting the points into a graph and figuring it out that way, or you can use the equations y2-y1/x2-x1 (for slope) and y=(*the slope from the other equation*)x+b. For both equations plug in a corresponding x and y coordinate given on the list (y1 and y2 would be consecutive coordinates, so 1 and 2, and same for x1 and x1, so -9 and -13). You should get (-4/1) for the slope, and when you plug that into the other equation you should get 5. Lastly you plug all these numbers into y=mx+b, and you get your answer.
Hope this helps :)
HELLPP!! 10 POINTS OFFERED!!
Answer:
Help with what???
Step-by-step explanation:
6+6+^=34
Harper and Ali count how much money they have in their piggy banks. Together, they have $24. Harper is a better saver and has twice as much money as Ali. How much money do they have?
x = Ali's money
2x = Harper's money
2x + x = $24
Combine like terms
3x = $24
Divide each side by 3
x = $8
Ali has $8
Harper has 2 * 8 = $16
what is the place value of 0 in 37.0691
Answer:
the tenths place
Step-by-step explanation:
Answer:
Step-by-step explanation:
The first place to the right of the decimal is the tenths place. That means it is 0.1 to 0.9 if the place is not zero as in this question.
Suppose that the question was 10.25
Then the 2 would be 2/10s
1 over 6 parentheses exponent 2
Answer:
1/36
Step-by-step explanation:
1) 1 over 6 parentheses represents a fraction which is 1/(6)
2) exponent 2 represents 1/(6) squared which is also 1/(6)²
3) Finally, multiply 1/6 two times 1/6*1/6 which is equal to 1/36
Hope this helps!
what is Five less than the product of 6 and a number is no more than twice that same number and what is the solution
HURRY ITS DUE IN 10 MINS
Answer:
6x - 5 ≤ 2x
4x ≤ 5
x ≤ 5/4
Step-by-step explanation:
Factor fully.
x2 + 5x + 6
Answer:
You can't factor x or any number other than 1 out.
Step-by-step explanation:
11. Which equation represents 4x - 3y = 15 when solved for y?
The equivalent value of the expression is y = ( 4x - 15 ) / 3
Given data ,
Let the equation be represented as A
Now , the value of A is
4x - 3y = 15
On simplifying the equation , we get
4x - 3y = 15
So , the left hand side of the equation is equated to the right hand side by the value of ( 15 )
Adding 3y on both sides , we get
3y + 15 = 4x
Subtracting 15 on both sides , we get
3y = 4x - 15
Divide by 3 on both sides , we get
y = ( 4x - 15 ) / 3
Therefore , the value of y = ( 4x - 15 ) / 3
Hence , the expression is y = ( 4x - 15 ) / 3
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ6
The measure of ∠2 is twelve less than five times the measure of ∠1. If ∠1 and ∠2 form a linear pair, find m∠2.
Given:
The measure of ∠2 is twelve less than five times the measure of ∠1.
∠1 and ∠2 form a linear pair.
To find:
The measure of ∠2.
Solution:
Let measure of ∠1 be x.
The measure of ∠2 is twelve less than five times the measure of ∠1.
[tex]m\angle 2=(5(m\angle 1)-12)^\circ[/tex]
[tex]m\angle 2=(5x-12)^\circ[/tex]
∠1 and ∠2 form a linear pair. So,
[tex]m\angle 1+m\angle 2=180^\circ[/tex]
[tex]x^\circ+(5x-12)^\circ=180^\circ[/tex]
[tex]6x-12=180[/tex]
[tex]6x=180+12[/tex]
[tex]6x=192[/tex]
Divide both sides by 6.
[tex]x=32[/tex]
Now,
[tex]m\angle 2=(5(32)-12)^\circ[/tex]
[tex]m\angle 2=(160-12)^\circ[/tex]
[tex]m\angle 2=148^\circ[/tex]
Therefore, the measure of angle 2 is 148 degrees.
Answer:
148 is the final answer
Step-by-step explanation:
.What kind of slope does perpendicular lines have?
Answer:
negative reciprocals
Step-by-step explanation:
4. After receiving a large water bill, a homeowner has found that they have a leak under the sink
Upon inspection, they learned that they leak is putting out 2/5 cup of water every 1/4 hour. How
much water in cups, will the faucet leak every hour?
Answer:
1.6 cups every hour
Step-by-step explanation:
Зу + 5.2 = 2- 5y
What is the answer for this??
Answer:
The answer is y=0.4
A roller coaster can handle up to 25 people weighing an average of 150
pounds each. New safety standards have lowered the maximum number
of passengers to 5. If the average weight of the passenger stays the
same, how much would a full load of passengers weigh under the new
limit? In what order would you solve this problem?*
add/subtract
subtract/multiply
O multiply/divide
Option 4
Answer:
subtract/multiply
Step-by-step explanation:you subtract number of passengers and multiply weight of the passengers..hope this helps :)
Solve the following inequality:
-2(-4/5x+3)-x=3x
Answer:
x= -5/2
Step-by-step explanation:
First distribute -2 to all the numbers in the parenthesis.
8/5x-6-x=3x
8/5/4=
2/5-6
=-5/2
Hope this helps!
Solve for z: 3z = 24 ???
A) 4
B) 8
C) 21
D) 27
Answer:
B
Step-by-step explanation:
If you multiply 8 times 3 you’ll get 24
1
2
3
4
5
6
7
8.
Which angle pairs describe same-side interior angles? Select all that apply
angle 3 and angle 5
angle 8 and angle 6
angle 2 and angle 7
angle 2 and angle 6
Answer:
A.) 3 and 5
Step-by-step explanation:
they are on the same side inside
2. -3xy, when x = 4 and y = 2
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 24}}}}}[/tex]
Step-by-step explanation:
Given, x = 4 and y = 2
[tex] \sf{ - 3xy}[/tex]
plug the value of x and y
[tex] \longrightarrow{ \sf{ - 3 \times 4 \times 2}}[/tex]
[tex] \longrightarrow{ \sf{ - 24}}[/tex]
Hope I helped!
Best regards! :D
A triangle has vertices at R(1, 1), S(-2,-4), and T4-3,
Answer:
567-09
Step-by-step explanation:
if EF = 2x - 12, FG = 3x - 17, and EG = 26, find the values of X, EF, and FG.
Answer:
Step-by-step explanation:
2x - 12 + 3x - 17 = 26
5x - 29 = 26
5x = 55
x = 11
2(11) - 12 = 22 - 12 = 10 EF
3(11) - 17 = 33 - 17 = 16 FG
ite Plane - Part 1
1. Josh is traveling from South Carolina to California for summer vacation. The states se
Carolina to Texas is represented by 12x
- 106. The distance from Texas to California is
approximately 2500 miles apart, so he makes a pitstop in Texas. The distance from south
represented by (5x + 685).
5x + 685
12x = 106
Is Josh's pitstop in Texas the midpoint between South Carolina and California? Justify your
answer.
Answer:
Josh's parent's house in Texas is the midpoint between South Carolina and California.
Step-by-step explanation
Let distance from South Carolina to California = D
D = 2,500 miles
Let distance from South Carolina to Josh's parent's house in Texas = D1
D1 = 12x - 106
Let distance from Josh's parent's house in Texas to California = D2
D2 = 5x + 685
Solve if Josh's parent's house in Texas is the midpoint between South Carolina and California
D1 = D2 = D/2
D/2 = 2,500 miles / 2
= 1,250 miles
D1 = D2 = 1,250 miles
D1 + D2 = D
Substituting D1 = 12x-106 and
D2 = 5x+685 and
D = 2,500
D1 + D2 = D
(12x-106) + (5x+685) = 2,500
Open parenthesis
12x - 106 + 5x + 685 = 2,500
Collecting like terms
12x + 5x = 2,500 - 685 + 106
17x = 1,921
Divide both sides by 17
x = 1,921 / 17
= 113
x = 113
Substitute x into D1 and D2
D1 = 12x - 106
D1 =12(113) - 106
= 1,356 - 106
D1 = 1,250
D2 = 5x + 685
D2 = 5(113) + 685
= 565 + 685
D2 = 1,250
Therefore, Josh's parent's house in Texas is the midpoint between South Carolina and California
HELP PLS I NEED THIS LUV U
Answer:
24
Step-by-step explanation:
the set of numbers are{3,2,7,9} four numbers
you have 4 choices n!=4!=4*3*2*1=24
the number of choices minus set of 3 digit numbers(no repetition)
(n-r)! without repetition :(4-3)!=1!=1
P=24 3-digit numbers if no repetition allowed
Maggie's brother is 10 years younger than four times her age. The sum of their ages is 45.
How old is Maggie?
Answer:
Maggie =11
her brother= 34
Step-by-step explanation:
let the unknown be x
age of Maggie's brother: 4x-10
sum of their ages= 45
their ages=
4x-10+x =45
4x + x = 45 +10
5x = 55
x = 55/5
x= 11
age of maggie= 11
age of her brother = 4 × 11 - 10 = 34
Answer:
Maggie is 11 And Her Brother is 34
$75, $97, $360, $84, $119, $100 Find the median
a. 45
b. 98.5
C. 97
d. 100
Answer:
C.97
Step-by-step explanation:
The formula for the volume of a sphere is V = Ar3, where Vis the volume
and ris the radius. Solve the formula for r, and then use it to answer the
question.
The volume of a basketball is about 435 cubic inches.
What is the radius of the basketball, to the nearest tenth of an inch? Use 3.14
for T.
it is 4 . 7 on a pex
I forgor
The radius of the basketball is 5 inches when the volume of a basketball is about 435 cubic inches.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The formula for the volume of a sphere is V = 4/3πr³,
where V is the volume
and r is the radius.
Let us find the formula for r
3V/ 4π =r³
Take cube root on both sides
∛3V/ 4π = r
Now let us find the radius when the volume of a basketball is about 435 cubic inches.
∛3×435/ 4×3.14 = r
1305/12.56 = r
∛103.9 = r
4.7 = r
5=r
Hence, the radius of the basketball is 5 inches when the volume of a basketball is about 435 cubic inches.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ7
What do you think it is? Be sure to explain
Answer:
x < 6
Step-by-step explanation:
It has to be a number lower than 6, because 6+6 is 12 and that creates a balanced system.
It cant be a number higher than 6, because it will drag itself down.
So we need a number that when combined, it's sum will be lower than 12
HEEEELP!!!!! 30 POINTS! Conjecture: Points A, B, and C are noncollinear. Is this conjecture true? No, points A and B lie on the same line, C and B lie on the same line, and A and C lie on the same line so all three points are collinear. Yes. No, points A and B lie on the same line so they are collinear. No, points C and B lie on the same line so they are collinear. No, points A and C lie on the same line so they are collinear.
Answer:
No, points A and B lie on the same line, C and B lie on the same line, and A and C lie on the same line so all three points are collinear.
Step-by-step explanation:
If A=B and B=C, then A=C
In other words, they're all on the same line.
Solve for x in simplest form
5 =2/3(8x-6)
Answer:
Step-by-step explanation:
5 = 2/3 ( 8x - 6 )
to make it clearer, we can just interchange the position of LHS and RHS
2/3 ( 8x - 6 ) = 5
By transposing,
8x - 6 = 5 - 2/3
8x - 6 = 13/3
8x = 13/3 + 6
8x = 31 / 3
x = 31 / 3 × 1/8
x = 31 / 24
Hope this helps
plz mark as brainliest!!!!!!!!!
Answer:
27/16
Step-by-step explanation:
5=2/3(8x-6)
multiply 2/3 with 8x first then multiply 2/3 with -6
5=16/3x-4
shift 16/3x to the left hand side and bring 5 to the right hand side
-16/3x= -4+(-5)
-16/3x= -9
x= -9 divided by -16/3
x= 27/16
hope this helps :)
on monday at the county fair jared played a game and won 75 tickets . On Tuesday he won 105 tickets on wednesday , he won 127 tickets but then spent 250 of them on a prize . how many more tickets does jared need to win to get a prize that costs 150 tickets ?
Answer:93
Step-by-step explanation:75+105+127=307
307-250=57
150-57=93
