Hi there :)
So since they initially drank 50 gallons, half of that is 25 gallons. 50+25= 75, therefore they drank 75 gallons.
Jada has 12 library books and 1/3 of that is 4, because 12 divided by 3 is 4, so 12-4=8. That means Han checked out only 8 books.
Good luck with the rest of your assignment, have a good day/night!!
A new ice skating rink will be approximately rectangular in shape and will have an area of 19,720 square feet. Using an equation for the perimeter P, of the skating rink in terms of its width W, what are the dimensions of the skating rink if the perimeter is 634 feet?
The dimensions of the rink are ? feet by ? feet.
Answer:
The dimension is: 232ft by 85ft
Step-by-step explanation:
Given
Shape: Rectangle
[tex]A = 19720[/tex] --- Area
[tex]P = 634[/tex] --- Perimeter
Required
Determine the dimension
Area is calculated as:
[tex]A = L * W[/tex]
This gives
[tex]19720 = L * W[/tex]
Perimeter is calculated as:
[tex]P = 2(L + W)[/tex]
This gives
[tex]634 = 2(L + W)[/tex]
Divide both sides by 2
[tex]317 = L + W[/tex]
Make L the subject
[tex]L = 317 -W[/tex]
Substitute 317 - W for L in [tex]19720 = L * W[/tex]
[tex]19720 = (317 - W)*W[/tex]
Open brackets
[tex]19720 = 317W - W^2[/tex]
Rewrite as:
[tex]W^2 - 317W + 19720 = 0[/tex]
Expand
[tex]W^2 -232W - 85W + 19720 = 0[/tex]
Factorize:
[tex]W(W -232) - 85(W - 232)= 0[/tex]
[tex](W - 85) (W - 232)= 0[/tex]
Split
[tex]W = 85\ or\ W = 232[/tex]
Recall that:
[tex]L = 317 -W[/tex]
[tex]L= 317 - 85\ or\ L = 317 - 232[/tex]
[tex]L= 232\ or\ L = 85[/tex]
Hence, the dimension is: 232ft by 85ft
The dimension of the rectangular rink is 85ft by 232ft
Perimeter and Areas of triangleGiven the following parameters
Area = 19,720 square feet.Perimeter = 634 feetThe formula for finding the area is:
A = lw
lw = 19,720
l = 19,720/w
If the perimeter is 634 feet
2(l+w) = 634
2(19,720/w + w) = 634
39,440/w + 2w = 634
39,440 + 2w^2 = 634w
2w^2 - 634w + 39,440 = 0
On factorizing, w=85 or w=232
Since l = 19,720/w
l = 19,720/232
l = 85
Hence the dimension of the rectangular rink is 85ft by 232ft
Learn more on area of triangle here: https://brainly.com/question/17335144
Jason took out an 800$ loan from his bank two years ago. He recently paid 860$ Back to the bank. This included the original loan amount and the simple interest charged to him. What was the annual interest rate of Jason’s loan
Answer:
3.75%
Step-by-step explanation:
Principal , P= $800
Number of years, t = 2
Total Amount paid back(principal + simple interest) , A = $860
To obtain the interest rate on the loan :
We use the Relation :
A = P(1 + rt)
r = interest rate
860 = 800(1 + 2r)
860 / 800 = 1 + 2r
1.075 = 1 + 2r
1.075 - 1 = 2r
0.075 = 2r
r = 0.075 / 2
r = 0.0375
Hence, interest rate on loan = 0.0375 = (0.0375 * 100%) = 3.75%
The stem-and-leaf display below gives the fuel efficiencies (in miles per gallon) for a sample of new cars. Use the display to answer the questions that follow.
Fuel efficiency (miles per gallon)
1 3
2 3 9
3 1 1 6 7
4 3 4 5 6
5 1 3 3 8
Key: 1/3 means a fuel efficiency of 13 miles per gallon.
A) What is the lowest fuel efficiency in the 30 0s?
B) What is the lowest fuel efficiency in the sample overall?
C) How many cars in the sample have fuel efficiencies in the 40s?
Answer:31
Step-by-step explanation:
59=64
(a) The lowest fuel efficiency in 30's is 31
(b) The lowest fuel efficiency in the overall sample is 13
(c) There are 4 cars in the sample that have fuel efficiencies in 40's
Given :
Stem and leaf display of data
Fuel efficiency (miles per gallon)
1 3
2 3 9
3 1 1 6 7
4 3 4 5 6
5 1 3 3 8
Explanation :
(A) We need to find the lowest fuel efficiency in 30's
So we look at the data's in third row
It shows the fuel efficiency of 31,31,36,37 miles per gallon
The lowest fuel efficiency in 30's is 31
(B) Lets write the fuel efficiency from the given table
13, 23, 29, 31,31,36, 37, 43, 44, 45, 46, 51, 53, 53, 58
The lowest fuel efficiency in the overall sample is 13
(C) Lets write the fuel efficiency of 40's
43, 44, 45, 46
So, there are 4 cars in the sample that have fuel efficiencies in 40's
Learn more : brainly.com/question/19228281
identify the quadrant that the following points are located at: A (-4 , 3) B (-5 , - 5) C (2, 8) D (8, -9) E (0,8) F (7,0)
Answer:
a. quadrant II
b. quadrant III
c. quadrant I
d. quadrant IV
e. y axis
f. x axis
Step-by-step explanation:
A length of a rectangle is 16/9,. and its width is 3/4 of its length. Find the area of this rectangle
Answer:
The answer is 1 1/3
Step-by-step explanation:
First you multiply the numerators then the denominators.
16 x 3 =48 , 9x4=36 =48/36. So that is your answer but it can still be simplified.
They can both be divided by 12 . 48 divided by 12 = 4 . 36 divided by 12 = 3.
but 4/3 is an improper fraction so you divide 4 by 3 and you get 1 with a remainder 1 = 1 and 1/3
What's the answer she gave the class a test and I dont know the answer cause she ain't teach us
Solve the given equation
Answer:
136
Step-by-step explanation:
[tex]2+\sqrt{x+8} =14\\\sqrt{x+8} =12\\x+8=144\\x=136[/tex]
Answer:
2+ x+8 =14
Subtract 2 from both sides of the equation.
x+8 +2−2=14−2
Subtracting 2 from itself leaves 0.
x+8 =14−2
Subtract 2 from 14.
x+8 =12
Square both sides of the equation.
x+8=144
Subtract 8 from both sides of the equation.
x+8−8=144−8
Subtracting 8 from itself leaves 0.
x=144−8
Subtract 8 from 144.
x=136
Step-by-step explanation:
Will mark brainlist please help!!!!
Answer:
f(-3)= -8
f(2) = 4
Step-by-step explanation:
The first equation x ≤ 0 means that if the variable x, or in our case, -3, is less than or equal to 0, the answer will be calculated into the equation.
3(-3) + 1 = -8
The bottom equation x ≥ 2 means that if the variable, x, or in our case, 2 is more than or equal to 2, the answer is 4. Since 2 is equal to 2, the answer would then be 4.
Solve for X. what are the measures of the two smaller angles? show your work
will mark brainiest for work
Answer:
x=10
Step-by-step explanation:
right angle is always 90
we can add 4+6=10
90-10=80
3*x+5*x=8*x
8*x=80
divide both sides by eight
x=10
45°
V7
45°
Х
find the length of side x in simplest radical form with a rational denominator
Answer:
[tex]x = \sqrt{\frac{7}{2} }[/tex]
Step-by-step explanation:
Explanation
From given graph
AC = √7
Given angle ∝ = 45°
[tex]cos\alpha = \frac{adjacentside}{Opposite side}[/tex]
[tex]cos45 = \frac{x}{\sqrt{7} }[/tex]
[tex]\frac{1}{\sqrt{2} } = \frac{x}{\sqrt{7} }[/tex]
[tex]x = \frac{\sqrt{7} }{\sqrt{2} }[/tex]
[tex]x = \sqrt{\frac{7}{2} }[/tex]
x = 1.8708
Given that 9x–4y = 20. Find y when x= -2
Diego scored nine points less than Andre in the basketball team Noah scored twice as many points as Diego if Noah scored 10 points how many ponts did Andre score
Answer:
1..........................
Answer:
Andre scored 14 points.
Step-by-step explanation:
set up expressions with the info given:
Diego's points: a –9
Andre's points: 2d. and
n = 2d
Noah's points = 10
Use the expressions to set up equations to solve.
To find a, Andre's points, we can work backwards.
Substitute the 10 from the last expression for n in the equation n=2d, and solve for d:
10 = 2d. Divide both sides by 2
5 = d
Substitute the value of d, Diego's points, to make an equation using the first expression:
5 = a –9 Add 9 to both sides.
5 + 9 = a a = 14
Andre scored 14 points
Someone please help me with this thank you
What is the value of the expression (2)^6?
pls help
Answer:
64
Step-by-step explanation:
2^6, or 2⁶, is two to the power of six.
Basically you multiply the bottom number (in this case 2) by itself as many times as the the number in the top right (in this case six)
2^6=2*2*2*2*2*2=64
Answer: 64
Step-by-step explanation:
2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 = 64
2 ⋅ 2 ⋅ 2 = 8
2 ⋅ 2 ⋅ 2 = 8
8 x 8 = 64
2.5×10³ times what number is equal to 5×10⁶?
Step-by-step explanation:
2500x=5000000
2500x/2500=5000000/2500
x=2000
I think the answer is this
I'll give brainliest for the first and correct answer! The perimeter of a triangle is 135. The sides have lengths a, b, and c. The ratio of a to b is 3:5 and the ratio of a to c is 6:11. Find the length of each side of the triangle.
9514 1404 393
Answer:
(a, b, c) = (30, 50, 55)
Step-by-step explanation:
If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...
A : B = 3 : 5 = 6 : 10
A : C = 6 : 11
so ...
A : B : C = 6 : 10 : 11
The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.
Multiplying the last ratio statement by 5, we find the lengths of each of the sides.
A : B : C = 6 : 10 : 11 = 30 : 50 : 55
The side lengths are (a, b, c) = (30, 50, 55).
Max walks 10 meters in 4 seconds what is his walking rate in meters per second?
Answer:
2.5 meters per second.
Step-by-step explanation:
[tex]\frac{\text{meters}}{\text{seconds}}=\frac{10}{4}=\frac{10/4}{4/4}=\boxed{\frac{2.5}{1}}[/tex]
Max's walking rate should be 2.5 meters per second.
Hope this helps.
Answer:
2.5 meter
You have to do 10÷4 wich is 2.5 and thats your awnser!
5x7=
5x7=5 x (_ + _)
5x7= (5x _) + (5x_)
5x7= _ + _
5x7=
Answer:
5x7=35
Step-by-step explanation:
I want to put 1/2 of a banana in each sack lunch. If I have
9 bananas, how many sack lunches can I make?
Answer:
18 sack lunches.
Step-by-step explanation:
You want 1/2 bananas and you have 9.
9 / 1/2 = 9 x 2 = 18 lunches.
Please answer quickly Thank You
Answer:
find and interpret the value of × so that t(×) = 114.
Tara has a plastic string that is 3 3/4 feet long. She will cut the string to make bracelets that are each 5/8 foot long. Explain how to use the number line to determine the maxium number of braceletss tara can make
Answer:
The answer is below
Step-by-step explanation:
Given that the length of the plastic string is 3 3/4 feet = 15 / 4 feet.
Bracelets of 5/8 foot long is needed to be made. To determine the maximum number of bracelets that can be made; using the number line, 5/8 is subtracted repeated times from 15/4.
We can see that when 5/8 is subtracted 6 times from 15/4, the result is 0.
15/4 ÷ 5/8 = 6
Hence Tara can make 6 bracelets from the plastic sting.
The order of transformations in a sequence matters; reversing the order will not necessarily give the same image. Is this statement True of False?
Answer:
False
If the transformations include a reflection, then the orientation will change. A translation or rotation will preserve the original orientation
Let B be between a and C use the segment addition postulate to solve for W
AB= 4w-4
BC = 2w-8
AC = 24
A- w=10
B- w=6
C- w=4
D- w=-2
Answer:
Value of w = 6
Step-by-step explanation:
Given:
AB= 4w-4
BC = 2w-8
AC = 24
Find:
Value of w
Computation:
AB + BC = AC
4w - 4 + 2w - 8 = 24
6w - 12 = 24
6w = 24 + 12
6w = 36
w = 6
Value of w = 6
The caverns of sonora have two different tours the crystal palace and the horseshoe lake tour
please help meh I'm I'm slowlyy from this question TwT send help
Answer:
so what XDXD
Step-by-step explanation:
A 2-pound package of hamburger costs $7.00, and you pay $10.50 for a 3-pound package of hamburger. Use a double number line to complete the table.
Weight (lb)
2
3
4
5
Cost ($)
7.00
10.50
14.00
17.50
What is the unit rate in this relationship?
Step-by-step explanation:
fresco didn't Divo ratify jdndodnswjskd ksosbwjw
The area of my back yard is 56sq feet the width of my backyard is 7 feet what is the length ?
Answer:
8 feet
Step-by-step explanation:
56/7= 8. hope this helps!
A water container is in the form of a rectangular tank. Its base is 20 cm by 17 cm and depth of the water in the
container is 28 cm. Tony adds one a quarter litres, 350 ml and 100 ml water to the container
Calculate by how many centimeters has the level of water in the tank risen.
Answer:
[tex]Height= 5cm[/tex]
Step-by-step explanation:
Given
Tank:
[tex]Base =20cm\ by\ 17cm[/tex]
[tex]Depth = 28cm[/tex]
Water:
[tex]Quantity = 1\frac{1}{4}L, 350mL, 100mL[/tex]
Required
Determine [tex]the\ height[/tex] of the water in the tank
First, we calculate the total volume of water added.
[tex]Quantity = 1\frac{1}{4}L+ 350mL + 100mL[/tex]
[tex]Quantity = 1.25L+ 350mL + 100mL[/tex]
Convert all units to Litres
[tex]Quantity = 1.25L+ 0.35L + 0.1L[/tex]
[tex]Quantity = 1.7L[/tex]
Convert to cm^3
[tex]Quantity = 1.7 * 1000cm^3[/tex]
[tex]Quantity = 1700cm^3[/tex]
The volume of the water in the tank is calculated as:
[tex]Volume =Base\ Area * Height[/tex]
i.e. the base area of the tank multiplied by the height of the water in the tank
[tex]Volume =20cm * 17cm* Height[/tex]
[tex]Volume =340cm^2* Height[/tex]
Since the above represents the quantity of water, we can substitute 1700cm^3 for Volume
[tex]1700cm^3=340cm^2* Height[/tex]
Make height the subject
[tex]Height= \frac{1700cm^3}{340cm^2}[/tex]
[tex]Height= \frac{1700cm}{340}[/tex]
[tex]Height= 5cm[/tex]
Find the interquartile range (IQR) of the data in the dot plot below.
goals
Luis's lacrosse scoring each season
43
45
46
47
48
Number of goals
Answer: According to the picture the IQR would be 3.5
Step-by-step explanation:
What’s the answer pls
Answer:
25%
Step-by-step explanation: