Answer:
58.69 gallons is the maximum she can get.
Step-by-step explanation:
165 + 2.3g ≤ 300
subtract 165 from both sides
2.3g ≤ 135
divide by 2.3 on both sides
g ≤ 58.6956521739
The Moore family’s backyard is shaped like a trapezoid as shown. The area of the backyard is 8,580 square feet. What is the perimeter of the yard? Explain how you found your answer.
Answer:
See Explanation
Step-by-step explanation:
Your question do not have enough details for it to be answered. I will solve your question on a general terms using the attached image of a trapezoid
Given
[tex]Area = 8580ft^2[/tex]
From the attachment, we have:
[tex]BC = 100ft[/tex]
[tex]AD = 80ft[/tex]
[tex]h = 60ft[/tex] --- height
The perimeter (P) of a trapezoid is:
[tex]P = AB + BC + CD + AD[/tex]
Substitute values for AD, BC
[tex]P = AB + 100 + CD + 80[/tex]
Collect Like Terms
[tex]P = AB + CD + 80+ 100[/tex]
[tex]P = AB + CD + 180[/tex]
Next, is to calculate the lengths of AB and CD or the sum: AB + CD
The area of a trapezoid is:
[tex]Area = \frac{1}{2}(AB + CD) * h[/tex]
Substitute values for Area and h
[tex]8580= \frac{1}{2}(AB + CD) * 60[/tex]
Multiply both sides by 2
[tex]2*8580= \frac{1}{2}(AB + CD) * 60*2[/tex]
[tex]17160= (AB + CD) * 60[/tex]
Divide both sides by 60
[tex]\frac{17160}{60}= \frac{(AB + CD) * 60}{60}[/tex]
[tex]286 = AB + CD[/tex]
[tex]AB + CD=286[/tex]
Substitute 286 for AB + CD in: [tex]P = AB + CD + 180[/tex]
[tex]P = 286 + 180[/tex]
[tex]P = 466[/tex]
The perimeter of the backyard is 466ft.
The above steps should give you a hint on how to solve your actual question.
One third of the difference of 20 and 2
1/3 x (20-2)
The value of the equation is 6
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A
The difference of ( 20 - 2 ) and 1/3 rd of that value
The equation is given as A = ( 1/3 ) ( 20 - 2 )
So , the equation can be simplified as
20 - 2 = 18
And ,
A = 18 x ( 1 / 3 )
A = 6
Hence , the value of the equation is 6
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1 3/5 + 1/4
A. 1 4/20
B. 1 4/9
C.1 4/5
D.1 17/20
Plz only answer if you know you are correct
Answer:
1/1
Step-by-step explanation:
Answer: slope = 2/1
brainliest plz
Step-by-step explanation:
please help me find the solution
For #1 - 4, classify each polygon by its number of sides then label it as convex or concave.
1. Classify: a) pentagon b) hexagon
c) heptagon d) octagon e) decagon
2. a) convex
OR b) concave?
e...
3. Classify: a) pentagon b) hexagon
c) quadrilateralma) octagon e) decagon
4. a) convex OR b) concave?
S...
ur...
d...
5. Classify: a) pentagon b) hexagon
c) heptagon d) octagon e) decagon
6
a convex
OR b) concave?
-bo...
7. Classify: a) heptagon b) nonagon
c) decagon d) dodecagon e) pentagon
S
Answer:
1. b) hexagon
2. b) concave
3. c) quadrilateral
4. a) convex
5. e) decagon
6. b) concave
7. d) dodecagon
8. b) concave
Which method can be used to prove ABC = ABD?
SSS or HL?
The absolute value of
-|5(-2)+2| + 3(3) +2(-4.2)|
Options:
a.) 9.4
b.) -17.4
c.) -7.4
d.) 8.6
Which expression is represented by the phrase "the square of y decreased by the quotient of 28 and 7"?
Answer:
y^2-(28/7)
or, y^2-(4)
Plot the image of point B under a dilation about point P with a scale factor of 1/4
Answer:
When we have a point (x, y) and we have a dilation of scale factor K about the origin, the new coordinates of the point will be:
(k*x, k*y)
In this case we have a dilation about point P, but let's assume that point P is the origin of coordinates.
Then the coordinates of point B will be (8, 12)
Then after the dilation of scale factor of 1/4, the new coordinates will be:
( (1/4)*8, (1/4)*12) = (8/4, 12/4) = (2, 3)
This means that the dilated point will be 2 units at the right of P, and 3 units above P.
An example image can be seen below.
Answer:
Step-by-step explanation:
Given the function f(x)=-3(x)^2, find the value of f(5).
Answer:
75
Step-by-step explanation:
you just put the 5 in the x's spot in the equation
I NEED HELP ASAP (will give brainiest) 20 POINTS
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=65(1.25)^x
Answer:
the anwser is y=5600
I'm going to just go by this because of research and you didn't show the 4 problems so if this fixes your question then there you go
Answer:
growth
25% increase
Step-by-step explanation:
since the number in the parentheses is above 1 the change is a growth
percent change: do
(V2-V1) / V1 x 100= 25%
V2 is 81.25 which the point if x is 1. And V1 is 65 which is the y-intercept.
Rhonda surveyed friends in her school to find out their favorite snack. The results of the survey are shown in the table below.
One person in her school will be picked at random. Based on the given information, which statement is true?
A:The person’s favorite snack is twice as likely to be Chex Mix than a fruit.
B:The person’s favorite snack is 3 times as likely to be Chex Mix than Jello.
C:The person’s favorite snack is twice as likely to be a fruit than Chex Mix.
D:The person’s favorite snack is equally likely to be Chex Mix, a fruit, Jello or yogurt.
Answer:
C.
Step-by-step explanation:
It's C. because it is a true answer and all of the other answers just don't make sense.
How many solutions does the following system have? Please explain your answer in 1-2 sentences.
4x + 5y = 13
12x + 15y =39
Ka
na a
hwiwj 16682)1 hafuna
Ashwini wnabaloa.a
aiiwvana
A car is traveling at a steady speed. It travels 2 1/3 miles in 3 1/2 minutes. How far will it travel in 25 minutes? In 1 hour?
Answer:
https://i.pinimg.com/originals/50/3f/9a/503f9a49a2faa03f7db90f090eea6bff.gif
Step-by-step explanation:
Answer:
Given:
A car travels 2 1/3 miles in 3 1/2 minutes.
We need to find the distance travelled in 25 minutes, in 1 hour.
So, 2 1/3= 7/3 and 3 1/2 = 7/2
Let's convert them into decimals by dividing them completely.
So, we will get 2.33 miles and 3.5 minutes.
So now we have that 2.33 miles are covered in 3.5 minutes.
Now we need to know the distance covered in 1 minute.
So, 2.33/3.5=0.67
So now we have in one minute 0.67 miles are covered.
Now distance covered in 25 minutes will be:
0.67*25 = 16.75 miles
Now distance covered in one hour:
1 hour = 60 minutes.
So, 0.67*60 = 40.2 miles
So we have distance covered in 25 minutes-16.5 miles and in 1 hour- 40.2 miles.
How can 6.45 be written as a mixed number?
6.45 written as a fraction is 645/100.
645/100 can also be written as 6 45/100
*proof*
100x6=600
600+45=645
So, therefore
6.45 as a mixed number is 6 45/100.
Hope this helps!
what percent of 800 is 4
Answer:
0.5
That is the answer.
plz answer, i will give the first person to answer brainliest! :)
Answer:
A line is a straight path of points that has no beginning or end. A line segment is a portion of a line that has two endpoints. A ray is a portion of a line which has one endpoint and extends forever in one direction.
Step-by-step explanation:
hope this helps
Answer:
A line is a infinite set of points, forming a straight path. It does not have a beginning or an end. A line segment is a part of a line made by two endpoints. A ray is a part of a line with only 1 endpoint, and stretches forever in the other direction. They are all types of geometric symbols I guess.
Step-by-step explanation:
ill give brainliest,
The fastest car on Earth, a British-made Thrust SSC, would win ever Nascar race in America. If it takes 0.5 hours (30 minutes to travel 380 miles, what is its speed?
Debbie had $100.00 to spend on shoes and shirts. She bought 1 pair of shoes for $53.84, including sales tax. Each shirt costs $8.19, including sales tax. What is the maximum number of shirts Debbie can purchase?
she can buy 5 shirts maximum
100-53.84=46.16 that is how much she has left to spend on shirts. 46.16÷8.19=5.63 but you can't have 0.63 shirts so in the end she can buy 5 shirts
I WILL GIVE YOU BRAINLIEST, IF YOU DESIRE IT
Sally has a game piece shaped like a square pyramid. The dimensions are shown in the net.
What is the surface area of Sally's game piece?
40 cm²
56 cm²
80 cm²
96 cm²
Answer:
Sally has a game piece shaped like a square pyramid. The dimensions are shown in the net.
What is the surface area of Sally's game piece?
40 cm²
56 cm²correct
80 cm²
96 cm²
Step-by-step explanation:
all you do is add the sides together and you should get answer: 56
5 + 5 + 5 + 5 + 5 + 5 + 5 + 5=40 (5x8=40)
4 + 4 + 4 + 4=16 (4x4=16)
40 + 16 = 56
Answer: 56please give a 5 ratek12 100% on the quiz 4.04 Quiz: Surface AreaWhat is the coefficient of x²- 36=0
Wich one?
A. a=1,b=0,c=7
B. a=0,b=0.c=36
C. a=1,b=0,C=-36
D. a=1,b=0,c=36
E. a=1,b=1,c=36
Answer:
(C)
Step-by-step explanation:
this is a quadratic equation. the form is [tex]ax^2+bx+c=0[/tex]
therefore, a=1, b=0, c=-36
Anybody know the answer to this
Please help quickly!!!!
Answer:
Step-by-step explanation:
B
100 points
If no denominator equals zero, which expression is equivalent to 15/x-6+7/x+6
Answer: its d
Step-by-step explanation:
Given expression:
[tex]\frac{15}{x-6}+\frac{7}{x+6}[/tex]By taking L.C.M, we get
→ [tex]\frac{15(x+6)+7(x-6)}{(x-6)(x+6)}[/tex]
→ [tex]\frac{15x+90+7x-42}{x^2-36}[/tex]
→ [tex]\frac{22x+48}{x^2-36}[/tex]
Thus the response above i.e., "option D" is correct.
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what is 10+1+44+3333-45
HELP PLEASE !!!!!!!!!!
Answer:
its e
Step-by-step explanation:
I could really use help on this, thanks frineds.
Answer:
awnser is 3 i think srry if im wrong
Step-by-step explanation:
Answer:4
Step-by-step explanation:
The measure of an angle is 14 times the
measure of its supplementary angle.
What in the measure of each anale?
Answer:
The smaller angle is 12 and the larger angle is 168
Step-by-step explanation:
Let call the measure of the random angle a. There is a angle that is 14 times of that and supplementary to that the random angle. So that is represented by
[tex]14a[/tex]
Supplementary Angles add up to 180 degrees so let set up an equation
[tex]a + 14a = 180[/tex]
which equal after you combine like with like
[tex]15a = 180[/tex]
Divide 15 by both sides and a=12 and the so smaller angle is 12 and the larger angle is 168
PLEASE HELP PICTURE IS PROVIDED !!
Answer:
C
Step-by-step explanation:
Hai!
Your answer would be D or JAP.
Brainliest maybe?