Complete question :
The sugar maple tree in Joshua's yard is 1/4 the age of the oak tree in his yard. The sugar maple tree is 20 years old. How old is the oak tree?
Answer:
80 years
Step-by-step explanation:
Given that :
Sugar maple tree = 1/4 age of oak tree
Age of sugar maple tree = 20
Age of oak tree = x
20 = 1/4 * x
20 = x / 4
Multiply both sides by 4
20 * 4 = (x / 4) * 4
80 = x
Hence, Age of oak tree = 80 years
a flag pole that is 8 feet tall casts a shadow that is 6 ft long a nearby tree casts a shadow that is 21 ft long. How tall is the tree?
Answer:
The tree is 28 feet tall.
Step-by-step explanation:
It is given that:
Height of flag pole = 8 feet
Shadow of flag pole = 6 feet
Ratio of height to shadow = 8 : 6
Shadow of nearby tree = 21 feet
Height of nearby tree = x
Ratio of height to shadow = x : 21
8 : 6 :: x : 21
Product of means = Product of extremes
6x = 8*21
6x = 168
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{168}{6}\\x=28[/tex]
Therefore,
The tree is 28 feet tall.
James had 45 qt of milk. He drank 13 of the milk.
How much milk did James drink?
Enter your answer, as a fraction in simplest form, in the box.
Question:
James had 4/5 qt of milk. He drank 1/3 of the milk. How much milk did James drink?
Enter your answer, as a fraction in simplest form, in the box.
Answer:
[tex]Milk = \frac{4}{15}\ qt[/tex]
Step-by-step explanation:
Given
[tex]Total = \frac{4}{5}\ qt[/tex]
[tex]Drank = \frac{1}{3}[/tex]
Required
Determine how much he drank
To do this, we simply multiply the total by the fraction of milk, he drank.
i.e.
[tex]Milk = \frac{1}{3} * \frac{4}{5}\ qt[/tex]
[tex]Milk = \frac{1*4}{3*5}\ qt[/tex]
[tex]Milk = \frac{4}{15}\ qt[/tex]
Hence, he drank 4/15 qt
Amy runs a bike rental business. She currently charges $36 per bike
rental and averages 60 rentals a week for an average weekly income of
$2,160. She predicts that she may lose 2 rentals a week for every one-
dollar increase in the rental price,p. Amy writes the expression
- 2p-12p+2160 to model her prediction. Which of the following is
the equivalent expression to reveal the maximum income based upon
Amy's model?
Answer:
b
Step-by-step explanation:
The equivalent expression to reveal the maximum income based upon Amy's model is -2(p+ 3)²+ 2178.
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
The model for Amy Situation is -2p²- 12p+ 2160
Now, - 2(p+ 3)²+ 2178
= -2p² - 18 - 12p + 2178
= -2p² - 12p + 2160
and, -2(p+ 6)² +2160
= -2p² - 72 - 24p + 2160
= -2p² - 24p + 2088
and, - 2(p-3)²+ 2178
= -2p² - 18 + 12p + 2178
= -2p² + 12p + 2160
Hence, the equivalent expression to reveal the maximum income based upon Amy's model is -2(p+ 3)²+ 2178.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ6
Need ASAP only answer if ur confident in ur answer
Answer:
L=PH
L=6in(11in)
L=66in
66in
Answer:
74.5 in²Step-by-step explanation:
surface area of the given image
= 1/2 (1.5) 2 (2 triangular sides) = 3 in²
= 2 x 11 (2 rectangular sides) = 44 in²
= 2.5 x 11 (rectangular bot base) = 27.5 in²
total = 74.5 in²
A package of 3 notebooks cost $5. Complete the ratio table and graph the pairs of values. How much will 18 notebooks cost?
Answer:
$30
Step-by-step explanation:
18÷3=6 (because the notebooks come in packages of 3)
6x$5=$30
(easy subtraction) Cassie wrote a story with 945 words. While she was revising her work, she erased 138 words. How many words does her story now have?
Answer:
the answer to your question is 807
Step-by-step explanation:
have a nice day
Are parallelogram rectangles
Identify the x and y intercepts for this graph
Answer:
It should be C
Step-by-step explanation:
CAN YOU ACCEP THIS CHALLEGE OF 5 QUESTION ITS MATH DO IT IF YOU DARE
Answer:
Hello!!
The answer to the first question is D. For 15 days
The answer to the second question is A. or 3 x 1/4
The answer to the third question is A. or 1/20 cup
The answer to the fourth question is A.
The answer to the fifth question is A. or 4 quarts
Step-by-step explanation:
These are the correct answers!
have a nice day!
The art club in Northwestern middle school is selling candy bars as a fundraiser. The box parts below show the number of candy bars the members of the art club sold in the first two weeks of the fundraiser select all of the following statements that are true about the art club candy bar sales
Answer:
c and f
Step-by-step explanation:
Find the slope of the line passing through the points(9, -6) and (-4, 5).
Answer:
11/-13
Step-by-step explanation:
5 - (-6) = 11
-------------
-4 - 6 = -13
The athletic fields at Clark Middle School and Watson Middle school are rectangles.
467.75 ft
?
512.25 ft
432.25 ft
Clark Middle School field
Watson Middle School field
"not drawn to scale
The lengths of the corresponding sides of the two fields are proportional.
To the nearest hundredth, what is the width of the field at Watson Middle School?
A. 352.25 ft
D. 418.62 ft
B. 387.75 ft
O E. 473.37 ft
OC. 394.70 Ft
Answer:B
Step-by-step explanation:
Answer: the answer is b
Multiply. Write answer in simplest form.
3/4 x 6/8
Plz help :>
Answer:
9/16
Step-by-step explanation:
6/8= 3/4
3/4*3/4=9/16
Answer:
9/16
I hope this helps.
Step-by-step explanation:
For runners in a race, a low time means a faster run. The winners in a race have the shortest running times. Is it more desirable to have a finish time with a high or a low percentile when running a race
Answer:
It is desirable to have finish time with low percentile.
Step-by-step explanation:
It is more desirable to have a low percentile for finish time for runners when running a race. A low percentile means a short time, which is faster.
When competing in a race, a low percentile finish time is preferable.
What is the relationship between speed and time?
Speed is the rate at which a distance changes over time. So speed and time are inversely proportional.
In a race, the person who runs faster will finish the race first. So a faster run takes less time.
Hence, it is more desirable to have a low percentile finish time during a race.
To learn more about speed, use the link given below:
https://brainly.com/question/28224010
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Find the value of x so that the function has the given value.
q(x)=13x−2; q(x)=−4
Answer:
q(X)=_4
now
=13×_4_2
=52_2
=50
Answer:
-2/13
Step-by-step explanation:
13x-2=-4
13x=-4+2
13x=-2
x=-2/13
Angle ABC is similar to Angle QRS. Also, side AB measures 50 cm, side AC measures 60 cm, and side QS measures 6 cm.
What is the measure of side QR?
Answer:
5 cm
Step-by-step explanation:
[tex]\frac{60}{50} = \frac{6}{x}[/tex]
What is the answer?!!!
Answer:
[tex]\displaystyle d = \sqrt{72}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, -3)
Point (8, -9)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(8-2)^2+(-9--3)^2}[/tex](Parenthesis) Simplify: [tex]\displaystyle d = \sqrt{(8-2)^2+(-9+3)^2}[/tex](Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(6)^2+(-6)^2}[/tex][√Radical] Exponents: [tex]\displaystyle d = \sqrt{36+36}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{72}[/tex]3/4 of 4/5 = ?????????????????
Answer:
3/4 of 4/5 = 3/5Step-by-step explanation:
I hope it helps
Find the distance represented by 4.9 inches if 1 inch = 50 miles.
Answer:
245 miles
Step-by-step explanation:
To complete this, you want to use the unit conversion technique in fraction form. The units for the numerator of the first fraction (thing you want to convert) should match the units of the denominator in the multiplying fraction.
Answer:
4.9 inches = 7.73359e-5 miles
Step-by-step explanation:
:)
Will bought a Fitbit to measure how far he walks every day. According to the Fitbit, he moves about 27 inches with each step he takes when he walks. How many feet did Will travel in 96 steps?
Answer:
216 feet
Step-by-step explanation: Just do 27 x 96 to get 2592 inches and then convert that to feet and you get 216 feet
Answer:
about 221 or exactly 220.1 feet
Step-by-step explanation:
1 foot = 12 inches
27 5/8 inches = 2. 30 feet
2.30 feet * 96 steps = 220.1 feet
I'm pretty sure this is how its supposed to go if you meant 5/8 feet with it!
Please help I need to know what X is.
Answer:
14
Step-by-step explanation:
We can find the value of x using similarity ratio
(2x-7)/57 = (x+4)/51 cross multiply expressions
51×(2x-7) = 57×(x+4)
102x - 357 = 57x + 228
102x - 57x = 228 + 357
45x = 585 divide both sides with 45
x = 13
DJ Davon is making a playlist for work; he is trying to decide what 12 songs to play and in what order they should be played. If he has his choices narrowed down to 14 blues, 25 country, and 21 disco songs, and he wants to play an equal number of blues, country, and disco songs, how many different playlists are possible
Answer:
3.63 * 10^19
Step-by-step explanation:
Given that :
Number of choices to select = 12
Category available :
Blues - 14
Country - 25
Disco - 21
To select an equal number of song for each category ; then 4 songs will be selected from each :
Using combination :
(14C4 * 25C4 * 21C4)
Since the order matters for the 12 selected songs ; it thus requires 12 permutation
Thus ;
(14C4 * 25C4 * 21C4) * 12!
nCr = n! / (n-r)!r!
Using calculator;
14C4 = 1001 ;
25C4 = 12650
21C4 = 5985
12! = 479001600
Hence,
(1001 * 12650 * 5985) * 479001600
= 36301596217286400000
=3.63 * 10^19
Which system of equations can be used to find the roots of the equation 4 x squared = x cubed + 2 x?
Answer:
The exact Value: x=0
The function operation: 4xsquared = x = x =
2 x = x =
Step-By-Step:
Answer:
D: y= 4x^2
y= x^3+2x
Step-by-step explanation:
let me know if right or wrong
how to divide 1 digit by 1 digit
Answer:
2÷2 =1
Step-by-step explanation:
just see how many times can that one digit goes into the other one digit
2x - 1 = x-1
Answer please thank you
Answer: x=0
Step-by-step explanation:
2x-x=0
Move the variable to the left-hand side and change its sign
2x-x=0
Collect like terms
X=0
Help please..........
ANSWER : 5/12 - 1/6 i think
Step by Step explanation:
4/5 + 1/3 simplified
Answer:
17/15
Step-by-step explanation:
Mr. Turner invested $8,000 in an account for his daughter's college education. The account pays 5% interest compounded annually. How much money will Mr. Turner have in the account after 4 years
A-$9,724.05
B-$11,554,77
C-$8,550
D-$10,320.67
Question that i need help wit
Answer:
Your answer should be 12/8 mile or just simplify 12/8
Step-by-step explanation:
Given:
Distance ran before the injury, Di = 7/8 mile
Distance left after the injury, Do = 5/8 mile
Total distance of the race, Dt = distance ran before the injury, Di + distance left after the injury, Do
Dt = Di + Do
= 7/8 + 5/8
= 12/8 mile.
Audrey made the input-output table below.
Answer: B) It is a multiplicative, because the output is equal to the input times 2.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
3+3 = 6
5+3=8
7+3=10
9+3=12
11+3=14
braniliest?