Find the sum. You may find using a number line to be helpful. Victor borrowed $20.50 from his mother to go to the theater. A week later, he paid her $20.50 back. How much does he still owe her?
Subtract the amount he paid his mother back from the amount he borrowed from her:
20.50 - 20.50 = 0
He does not owe his mother any more.
Regina's father has 3 1/2 cups of pudding to divide equally among Regina and her 3 friends. How many cups of pudding does each person receive?
Answer:
The answer is .875 cups of pudding for each person
Step-by-step explanation:
To solve this problem you will have to divide 3 1/2 among 4 people.
3 1/2 divided by 4 is equal to .875
Tim has 80 coins in his piggy bank. Of these coins, 28 are nickels and the rest are quarters. What percent of the coins in the bank are quarters?
Answer:
65%
Step-by-step explanation:
One hour after a hiker left camp, a biker set out to catch up. If the hiker traveled 3 miles per hour and the biker traveled 6 miles per hour faster, how long will it take for the biker to catch up with the hiker?
Answer:
30 minutes after biker left
Step-by-step explanation:
Given that :
Speed of hiker = 3 mph
Speed of biker = (3 +6) = 9 mph
Present Distance of hiker when the biker set out ;
Present Distance of hiker = speed * time = (3 * 1) = 3 miles
Time taken to catchup equals :
Present distance + (distance when biker set out) = bikers distance
Let time taken = x
(3 + (3 * x)) = (9 *x)
(3 + 3x) = 9x
3 + 3x = 9x
3 = 9x - 3x
3 = 6x
x = 3/6
x = 1/2 hours
x = 30 minutes
30 minutes after biker left
Answer:
0.5 hrs or 30 mins
Step-by-step explanation:
please help its the last one i need ! Drag the tiles to the boxes to form correct pairs.
Match the pairs of equivalent expressions.
Answer:
See explanation
Step-by-step explanation:
The first option (4t - 8/5)... equals 16/3 t -23/5 (the fourth option in the first row)
The second option 7t - 22 (still in the first row) equals 3(3t-4)...(the third option in the second row)
The third option (still in the first row) 5(2t+1)... equals 3t + 33 (the final option in the second row)
The two options in the second row to the left equal each other
-11/4 t + 36 = (-9/2t + 3)+(7/4t + 33)
The graph below displays the relative frequency distribution for X, the total number of dogs and cats owned per household, for the households in a large suburban area. For instance, 14 percent of the households own 2 of these pets.
Number of dog/ Relative Frequency
0- 0.36
1- 0.24
2- 0.14
3-0.09
4- 0.07
5- 0.04
6-0.04
7- 0.02
(a) According to a local law, each household in this area is prohibited from owning more than 2 of these pets. If a household in this area is selected at
random, what is the probability that the selected household will be in violation of this law? Show your work.
(b) If 12 households in this area are selected at random, what is the probability that exactly 3 of them will be in violation of this law? Show your
work.
(c) The mean and standard deviation of X are 1.65 and 1.851, respectively. Suppose 100 households in this area are to be selected at random and X , the
mean number of dogs and cats per household, is to be computed. Describe the sampling distribution of X , including its shape, center, and spread.
Answer:
maybe 7 divided by 2 or o.o2 divided by 7
Step-by-step explanation:
a) 34y=15=
b) -58y=20=
c) -x=23=
d) -51=-y=
a) 34y=15
=> y= 34-15
=> y = 19
b) -58y=20
=> y= -58-20
=> y = -78
c) -x=23
=> -1x=23
=> x= 23+1
=> x= 24
d) -51= -y
=> -51= -1y
=> y= -51+1
=> y= -50
Hope it helps!
the pta wants to cover the wet areas of the trail with wood chips. they find that one bag of wood chips covers 3 1/2-yard section of the trail. if there is a wet section of the trail that is approximately 50 1/4 yards long, how many bags of wood chips are needed to cover the wet section of the trail?
PLEASE THIS IS DUE IN 1 HOUR
Isolate k
C= 8+g∙k
How do you Isolate K by itself
Write an equation of the line passing through the point (2, 10) that is perpendicular to the line 2x+y=17.
Answer:
y = 0.5x + 9
Step-by-step explanation:
What we know:
An equation with the point (2,10) passing through it is perpendicular to the equation 2x+y=17.
The root of 2x+y=17 is (8.5, 0).
The two equations intersect at (3.2, 10.6)
Let's check if 3.2 and 10.6 work for 2x+y=17.
2(3.2) + 10.6 = 17
6.4 + 10.6 = 17, which is true.
Let's try y = 0.5x + 9, to see if we get the same output as the earlier equation.
y = 0.5(3.2) + 9
y = 1.6 + 9
y = 10.6, so 3.2 as x does work.
As a result, the perpendicular equation is y = 0.5x + 9.
please help me on this
9514 1404 393
Answer:
y = 25, 17, 13, 5 . . . . (top-down order)
Step-by-step explanation:
Put the values of x in the expression for y and do the arithmetic.
y = 29 - 4×1 = 25
y = 29 - 4×3 = 17
y = 29 - 4×4 = 13
y = 29 - 4×6 = 5
What is the product of (2x – 1)
(3x + 3)?
Answer:
6x^2 + 3x - 3
Step-by-step explanation:
Using the FOIL method, we would multiply 2x by 3x, then multiply 2x by 3, then multiply -1 by 3x, then multiply -1 by 3. This would bring the answer to 6x^2 + 6x -3x - 3. Combine the like terms 6x and -3x and you get 6x^2 + 3x - 3
I need help with this .please help me
Answer:
Step-by-step explanation:
Upper left
someone please help me with this !
Step-by-step explanation:
The coordinates of Point S(1,2)
The coordinates of point T(7,5)
length of ST=√(7-1)²+(5-2)²
|ST|=√36+9
|ST|=√45=3√5
Answer:
a) S(1,2) T(7,5)
b)3√5 = 6.7 ( approximately)
Step-by-step explanation:
Look at the picture below.
Hope you find this helpful
simplify:
4 x - -5х + 3x- x+2х - 7х
Answer:
6x
Step-by-step explanation:
4 x - -5х + 3x- x+2х - 7х
Combine like terms so, so since all are the same you just do the operation they want u to do..
4x + 5x= 9x
9x + 3x = 12x
12x - x = 11x
11x + 2x= 13x
13x - 7x = 6x
Hint: 2 negatives make a postitive
Hint: in there is just an "x" there is always an invisible one in it... 1x
Hope this helped!
On the number line below, P represents a number. What is the value of the opposite of that number?
If Rachel can reach 91 inches high, AC = 2x, and BC= 5x+7, how tall is the object she's
reaching for (AC)?
a) 24 inches
b) 13 inches
c) 67 inches
d) 91 inches
Answer:
d 91
Step-by-step explanation:
she is reaching it perfectly at this height in the problem, its super easy
In order for the parallelogram to be a rectangle x=
Answer:
x = 2
Step-by-step explanation:
Set the two equations 13x+34 and 10x+10 together to add up to 90 on the right which should look like this 13x + 34 + 10x + 10 = 90. Combine the two x-values to get 23x and the two other numbers to get 44. Your equation should now be 23x + 44 = 90. Subtract 44 on both sides to get this equation 23x = 46. Divide 23 on both sides to get your x value which is 2.
Answer:
X is equal to 2
Step-by-step explanation:
90 = 13x + 34 + 10x + 10
Combine Like Terms:
90 = 23x + 44
Subtraction Property of Equality:
90 - 44 = 23x + 44 - 44 ---> 46 = 23x
Division Property of Equality:
46 ÷ 23 = 23x ÷ 23 ---> 2 = x
Check Your Work:90 = 13x + 34 + 10x + 10
Fill In Variables:
90 = 13(2) + 34 + 10(2) + 10
90= 26 + 34 + 20 + 10
90 = 60 + 30
90 = 90
In ΔNOP, \overline{NP} NP is extended through point P to point Q, \text{m}\angle PNO = (x+14)^{\circ}m∠PNO=(x+14) ∘ , \text{m}\angle OPQ = (5x-2)^{\circ}m∠OPQ=(5x−2) ∘ , and \text{m}\angle NOP = (x-1)^{\circ}m∠NOP=(x−1) ∘ . Find \text{m}\angle OPQ.M∠OPQ.
Answer:
<OPQ = 23 degrees
Step-by-step explanation:
Given
Interior angles m∠PNO=(x+14) and m∠NOP=(x−1)
Exterior angle = m<OPQ = (5x-2)
The sum of interior angles is equal to the exterior angle, that is;
m∠PNO+m∠NOP = m<OPQ
x+14 + x-1 = 5x-2
2x + 13 = 5x-2
Collect like terms;
2x-5x = -2-13
-3x = -15
x = 15/3
x = 5
Get <OPQ
<OPQ = 5x - 2
<OPQ = 5(5)- 2
<OPQ = 25-2
<OPQ = 23 degrees
Josh runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
Answer:
6 / 55 = x / 44
44*6/55= x
x = 4.8 miles
Step-by-step explanation:
Answer the Point-slope equation with line for given point and have the slope given
(4,-3),m=-1
Answer:
y + 3 = - (x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 1 and (a, b) = (4, - 3) , then
y - (- 3) = - 1 (x - 4) , that is
y + 3 = - (x - 4)
what is the value of f(5) in f(x)=-2(x+1)
Answer:
-12
Step-by-step explanation:
An animal park has lions tigers and zebras.20% of the animals are lions and half the animals are zebras.If there are 120 animals at the park , how many tigers are there?
Answer:
40
Step-by-step explanation:
20% of 120 which is 24 are lions
half of the animals which is 120 ÷ 2 is 60 for the zebra
therefore, 60+24 is 84
120 - 84 is 36
The average human fingernail grows at a rate of 3.47 millimeters per month. One millimeters = 0.1 centimeters. How much in centimeter, would the average human fingernail grown in one year?
Answer:
4.164 cm
Step-by-step explanation:
Given that:
Growth of an average human fingernail = 3.47 mm per month
One mm (millimeter) = 0.1 cm (centimeter)
To find:
Growth of an average human fingernail in one year = ?
Solution:
Here, we are given the growth for one month.
There are 12 months in an year, so growth over an year can be found by adding the growth of one month for 12 times.
Growth in one year = 3.47 mm + 3.47 mm+ ..... 12 times
Growth in one year = 12 \times 3.47 mm = 41.64 mm
In millimeters, the growth of an average human fingernail = 41.64 mm
Let us convert it into centimeters by multiplying it with 0.1.
Therefore growth in centimeters = 41.64 mm [tex]\times[/tex] 0.1 = 4.164 cm
What is the simplified form of the expressions?
a. −6a2b−1
b. 5/y−3
Laila is setting up a conical tent in the backyard. The height of the tallest part of the tent is 7 feet. The inside of the tent has a volume of 56 cubic feet. How many square feet are covered by the base of the tent?
Answer: 24
Step-by-step explanation:
I got it right on edge
Answer:
Answer is 24
Step-by-step explanation:
ywwww :)
#DJPP
Please help fast as you can
Answer:
The elements of the set C will be:
C = {-2, -1, 0, 1, 2, 3, 4, 5}
In other words,
[tex]-2\le \:x<6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-2\le \:x<6\:\\ \:\mathrm{Interval\:Notation:}&\:[-2,\:6)\end{bmatrix}[/tex]
The solution number line is also attached below.
Step-by-step explanation:
C = {x ∈ Z | such that -2 ≤ x < 6 }
It is clear that the x ∈ Z, meaning the x belongs to the set of integers Z.
It is given that -2 ≤ x < 6.
so x must be greater than or equal to -2 and less than 6.
Therefore, the elements of the set C will be:
C = {-2, -1, 0, 1, 2, 3, 4, 5}
In other words,
[tex]-2\le \:x<6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-2\le \:x<6\:\\ \:\mathrm{Interval\:Notation:}&\:[-2,\:6)\end{bmatrix}[/tex]
The solution number line is also attached below.
Guys is this correct? Look at the picture attached
It would be best to label the points if your turning it in. It can help people easily identify the points you've plotted.
From the looks of it, your equation is good.
The base is good and your math is right, but where did you get your height from?
If you count from point R up to line PQ you get 5 as the height.
I understand miscounting's a thing, no worries.
So if we input the correct height, we get A = 1/2 (3)(5)
1/2 * 15
7.5
The area of the polygon is 7.5 units.
I hope that helps and if you ever need any more help don't be afraid to reach out!
5x + 10y > 40
Need help with this it says to graph but I know how to graph I just need help on simplifying the equation.
Answer:
x > -2y + 8
Step-by-step explanation:
A system of equations is shown on the graph below.how many solutions does this system have
Answer:
1
Step-by-step explanation:
A solution to a system of equations is the point where the 2 lines meet.