There are some apples and 8 pears in a basket. Each of them is either green or yellow. There are three more apples than the total number of green fruit. There are 6 yellow pears. How many yellow apples are there in the basket?
Answer:
5 yellow apples
Step-by-step explanation:
Pears = p ; apples = a
p = 8 ; let Number of apples = x
All fruits are either green or yellow
Total green fruits = x - 3
Number of yellow pears = 6
Green pears = total pears - yellow pears
Green pears = 8 - 6
Green pears = 2
Green fruits = green pears + green apples
x - 3 = 2 + green apples
Green apples = x - 3 - 2
Green apples = x - 5
Apples = green apples + yellow apples
Yellow apples = apples - green apples
Yellow apples = x - (x - 5)
Yellow apples = x - x + 5
Yellow apples = 5
Hence, there are 5 yellow apples
There are 5 yellow apples in the basket.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let a represent green apples, b represent yellow apples, c represent green pears and d represent yellow pears, hence:
There are some apples and 8 pears in a basket:
c + d = 8
There are three more apples than the total number of green fruit:
a + b = a + c + 3
b = c + 3
c = b - 3
There are 6 yellow pears, d = 6. Since:
c + d = 8, hence:
b - 3 + 6 = 8
b = 5
There are 5 yellow apples in the basket.
Find out more on equation at: https://brainly.com/question/2972832
Can some body help me with this
Answer:
1 is 11
3 is 12
5 is the same answer as 3
Step-by-step explanation:
for #1 the angle is 90 degrees and its asking to find x you can set up the equation by sayin 46+4x=90 you substract 46 by 46 and subtract 90 by 46 then you will get 4x=44 dived 4 on each side and you will get x = 11
for #3 the angle is equal to 180 you set up the eqation by saying 36+12x=180 you subtract 36 by itself and 180 by 36 then you will get 144 now your equation is 12x = 144 now divide 12x by 12 and 144 by 12 and you will get x = 12
Select the smaller of the two given numbers.
-|19|, -|12|
Answer:
-|12|
Step-by-step explanation:
|19| is 19, -|19| is -19
|12| is 12, -|12| is -12
-12>-19
Vicky is renting an apartment.In addition to the first month’s rent, the landlord requires him to pay half of a month's rent as security-deposit and 40% of a month's rent for utility bills before moving in.The total amount he has to pay the landlord before moving in is $3800. What is monthly rent ?
Answer:
$2000Step-by-step explanation:
Let the monthly rent be x.
Then we have:
x + 0.5x + 0.4x = 38001.9x = 3800x = 3800/1.9x = 2000Monthly rent is $2000
Answer:
the answer to your question is $2000
Solve the proportion: 9 is to 16 as M is to 32.
(please show working out!)
Answer:
Step-by-step explanation:
9 : 16 :: M : 32
Means of extremes = means of means
= 9 x 32 = 16 x M
= 288 = 16M
288/16 = M
18 = M
Team A scored the following points per game 20,17,25,25,13,25,12,25,25 and 23 team B scored the following points per game 25,25,9,10,25,11,25,15,10 and 25 what is the mean of team A and team B
Answer:
Mean of team A = 21
Mean of team B = 18
Step-by-step explanation:
Formula:
Mean = Sum of values / Number of values
Calculations:
[tex]A = \frac{20+17+25+25+13+25+12+25+25+23}{10} = \frac{210}{10} = 21[/tex]
[tex]B = \frac{25+25+9+10+25+11+25+15+10+25}{10} =\frac{180}{10} =18[/tex]
Mean of team A = 21
Mean of team B = 18
what are the next 3 terms in this:O,T,T,F,F
Answer:
Step-by-step explanation:
S, S, E.
Come on, do I have to spell it out for you? :)
Write the numerical co-efficient of each term of the following expressions:
A) − xyz – 3oy + 6yz +4
Answer:
Uncertain if the second term is 30 and not 3o. IF 30, then the coefficients are
-1, 30 and 6.
Step-by-step explanation:
Coefficients are numbers ahead of the variables (letters).
The number 4 is called a constant. A constant is not a coefficient.
The coefficient (number ahead of the letters) of -xyz is -1.
Hope this helps.
12+22+32+...+102 =?
Answer:
750 is the answer. Hope it helps!
help! is it e? I’ll give u Brainly
Answer:
B
Step-by-step explanation:
If you look at 3 on the X-axis and go down 4 then you will get point B as your answer.
Answer:
E is the correct answer because A is (-4,-3), B is (-4,3), C is (5,1), D is (4,-3), E is (3,-4), and F is (-2,-4)
A cylinder has a height h, and a radius (3h-2)
The area of the base is pi (3h-2)^2
The volume of the clinder is V= pi(3h-2)^2h
10. Multiply the polynomials to simplify the expression for the volume:
V=pi(3h-2)^2h by
Answer:
[tex]V= 4\pi (9h^2 -12h + 4)[/tex]
Step-by-step explanation:
Given
Shape: Cylinder
[tex]Radius = 3h - 2[/tex]
[tex]Height = h[/tex]
[tex]Base\ Area = \pi (3h - 2)^2[/tex]
Required
Simplify the volume
The volume is calculated as:
[tex]Volume = Base\ Area * Height[/tex]
Substitute values for Base Area and Height
[tex]V= \pi(3h-2)^2*h[/tex]
Expand the bracket
[tex]V= \pi(3h-2)(3h-2)*h[/tex]
Open brackets
[tex]V= \pi (9h^2 -6h - 6h + 4) *h[/tex]
[tex]V= \pi (9h^2 -12h + 4) *h[/tex]
[tex]V= 4\pi (9h^2 -12h + 4)[/tex]
I need help please I will give brainlest to first person that answers (please hurry)
Answer:
Less than 4 is 1,2,3
So 3/12=1/4
Find the missing side. Round
to the nearest tenth.
Х
141
43°
у
X=[?]
Answer:
x = 206.7
Step-by-step explanation:
law of sines:
sin 90° / x = sin 43° / 141
sin 43° · x = 141
x = 141 / sin 43°
The measure of the length of the hypotenuse is 206.75 and the measure of the length of the base is 151.20 units.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The perpendicular is 141 and the angle opposite to the perpendicular is 43 degrees. Then the value of the base and hypotenuse will be
The length of the base will be
[tex]\rm \dfrac{141}{y} = \tan 43^o\\\\y\ \ \ = \dfrac{141}{ \tan 43^o}\\\\y \ \ \ = 151.20[/tex]
Then the length of the hypotenuse will be
[tex]\rm x = \dfrac{141}{\sin 43^o}\\\\x = 206.75[/tex]
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ2
what is the solution to the equation y=2x+5
Answer:
x = -5/2
Step-by-step explanation:
y= 0
I dont know but i believe this is it.
Answer:
2x-y=-5
Step-by-step explanation:
y=2x+5
-2x+y=5
-(-2x+y=5)
answer: 2x-y=-5
Worth 20 points
Please answer these all in a fraction form! :) <3 ily all have a AMAZING day.
1. 1/8 ÷ 3/4 = ?
2. 3/5 ÷ 3/2 = ?
3. 4/1 ÷ 2/3 = ?
4.9/4 ÷ 6/5 = ?
5.22/4 ÷ 2/5 = ?
Answer:
1. 1/8 ÷ 3/4 = 1/6
2. 3/5 ÷ 3/2 = 2/5
3. 4/1 ÷ 2/3 = 6
4.9/4 ÷ 6/5 = 15/8
5.22/4 ÷ 2/5 = 261/80
Step-by-step explanation:
Hope this Helped
What is the factors for x squared plus 5x - 6
Answer:
=[tex](x-1)(x+6)[/tex]
Step-by-step explanation:
Answer:
[tex]x^{2} +5x-6=(x-1)(x+6)[/tex]
Step-by-step explanation:
Which expressions are polynomials? Select the two correct answers. (2 points)
ox-3+ ſo
3- +1
0-428
24 + 2y2 + 2 – w?
Answer:
Third and fourth
Step-by-step explanation:
Exponents can't be negative.
The tape diagram a way to model 5/8x11
Answer:
55/8
Step-by-step explanation:
here u gooo good luck
1. Set up a proportion and use it to solve for X.
16
12
X
Wilbert needs a student loan to finish school. He needs $4200 and has two options.
Option A: 4 years at 4.5% interest with monthly payments of $95.77 and total payback of $4,596.96
Option B: 3 years at 4.7% interest with monthly payments of $125.31 and total payback of $4, 511.16
Which loan should Wilbert choose and how much will Wilbert save with that loan?
Answer:
85.8
Step-by-step explains
4596.96-4200=396.96
4511.16--4200=
396.96-311.16=85.8
so 85.8 and b
PLZ ANSWER THESE QUESTIONS IF YOU KNOW ALGEBRA PLZ PLZ PLZ PLZZZZZZZZZZZZ I WILL GIVE BRAINLY AND ALL MY POINTS PLZZ HELP ME
I AM A YOU TUBER I WILL CHEAT IF I HAVE TO
Answer:
Algebra (from Arabic: الجبر al-jabr, meaning "reunion of broken parts"[1] and "bonesetting"[2]) is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols;[3] it is a unifying thread of almost all of mathematics.[4] It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra; the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians.
Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on many values.[5] For example, in {\displaystyle x+2=5}x+2=5 the letter {\displaystyle x}x is an unknown, but applying additive inverses can reveal its value: {\displaystyle x=3}x=3. In E = mc2, the letters {\displaystyle E}E and {\displaystyle m}m are variables, and the letter {\displaystyle c}c is a constant, the speed of light in a vacuum. Algebra gives methods for writing formulas and solving equations that are much clearer and easier than the older method of writing everything out in words.
The word algebra is also used in certain specialized ways. A special kind of mathematical object in abstract algebra is called an "algebra", and the word is used, for example, in the phrases linear algebra and algebraic topology.
A mathematician who does research in algebra is called an algebraist.
The length of a rectangle is 2 times it’s width. The area of the rectangle is 72 square inches. Find the dimensions of the rectangle
Answer: 72 divided by 2 is 9. So the length is 9
Step-by-step explanation:
a classroom is 30 feet wide the ceiling is 10 feet above the floor what is the volume
Answer:
300 sqft
Step-by-step explanation:
30 times ten is 300 and the measure is feet squared
Answer:
9000 ft 3
Step-by-step explanation:
How do you Estimate the quotient of 1246 divided by 4
Answer:
See inside.
Step-by-step explanation:
Just think of 1000 divided by 4. Like that. Choose a rounded number close to the number you are trying to estimate, and solve the rounded number.
SPEED, DISTANCE AND TIME
please please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!! emergency will give thanks
1) A cyclist travels a distance of 90 miles in 5 hours. What
was her average speed?
2) How far along a motorway would you travel if you drove at
70 mph for 4 hours?
3) I drive to Bude in Cornwall from Sheffield in about 6
hours. The distance from Sheffield to Bude is 315 miles.
What is my average speed?
4) The distance from Leeds to London is 210 miles. The train
travels at an average speed of 90 mph. If I catch the 9.30 am
train in London, at what time should I expect to arrive in
Leeds?
5) How long will an athlete take to run 2000 m at an average
speed of 4 metres per second?
6) The distance between Sheffield and Land’s End is 420
miles.
a) What is the average speed of a journey from Sheffield to
Land’s End that takes 8 hours 45 minutes?
b) If Sam covered the distance at an average speed of 63
mph, how long would it take him?
Answer:
1 --- The cyclist's average speed was 18 miles per hour.
2 --- I would travel 280 miles far.
3 --- Your average speed was 52.5 miles per hour.
4 --- You should expect to arrive in Leeds at 11:50 AM.
5 --- The athlete will run 2000 m in 8 minutes and 20 seconds.
6A --- The average speed of the journey is 48 miles per hour.
6B --- It will take him 6 hours and 40 minutes.
Step-by-step explanation:
1) 90 / 5 = 18
2) 70 x 4 = 280
3) 315 / 6 = 52.5
4) 210 / 90 = 2.3333
0.333 = 0:20
9:30 + 2:20 = 11:50
5) 2000 / 4 = 500
500 / 60 = 8.3333
0.3333 = 0:20
8.3333 = 8:20
6A) 0:45 = 0.75
420 / 8.75 = 48
6B) 420 / 63 = 6.666
6.6666 = 6:40
Is 16:14 equivalent to 64:60
Answer:
no
Step-by-step explanation:
64/16 = 4
60/14 = 4.28...
Yuri thinks 3/4 is a root of the following function.
q(x)=6x^3+19x^2-15x-28
Explain to Yuri why 3/4 cannot be a root.
Answer:
Since [tex]q(\frac{3}{4}) \neq 0[/tex], 3/4 cannot be a root of q(x).
Step-by-step explanation:
Root of a function:
If [tex]x^{\ast}[/tex] is a root of a function f(x), we have that [tex]f(x^{\ast}) = 0[/tex].
In this question.
We have to find [tex]q(\frac{3}{4})[/tex]. So
[tex]q(\frac{3}{4}) = 6(\frac{3}{4})^3 + 19(\frac{3}{4})^2 - 15(\frac{3}{4}) - 28[/tex]
[tex]q(\frac{3}{4}) = \frac{162}{64} + \frac{171}{16} - \frac{45}{4} - 28[/tex]
[tex]q(\frac{3}{4}) = \frac{162}{64} + \frac{684}{64} - \frac{720}{64} - \frac{1792}{64}[/tex]
[tex]q(\frac{3}{4}) \neq 0[/tex]
Since [tex]q(\frac{3}{4}) \neq 0[/tex], 3/4 cannot be a root of q(x).
which table shows a proportional relationship between x and y ?
Answer:
Table C
Step-by-step explanation:
Given
Table A to D
Required
Which shows a proportional relationship
To do this, we make use of:
[tex]k = \frac{y}{x}[/tex]
Where k is the constant of proportionality.
In table (A)
x = 2, y = 4
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{4}{2}[/tex]
[tex]k = 2[/tex]
x = 4, y = 9
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{9}{4}[/tex]
[tex]k = 2.25[/tex]
Both values of k are different. Hence, no proportional relationship
In table (B)
x = 3, y = 4
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{4}{3}[/tex]
[tex]k = 1.33[/tex]
x = 9, y = 16
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{16}{9}[/tex]
[tex]k = 1.78[/tex]
Both values of k are different. Hence, no proportional relationship
In table (C):
x = 4, y = 12
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{12}{4}[/tex]
[tex]k = 3[/tex]
x = 5, y = 15
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{15}{5}[/tex]
[tex]k = 3[/tex]
x = 6, y = 18
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{18}{6}[/tex]
[tex]k = 3[/tex]
This shows a proportional relationship because all values of k are the same for this table
What is the discriminate of y=x^2-8x+2
Answer:
56
Step-by-step explanation: Use the values of a, b, and c to find the discriminant.
Answer:
[tex]\Delta =56[/tex]
Step-by-step explanation:
We are given:
[tex]y = x^2 - 8x + 2[/tex][tex]y=x^2-8x+2[/tex]
So, a = 1, b = -8, and c = 2.
The discriminant (symbolized by Δ) is given by:
[tex]\Delta =b^2-4ac[/tex]
So, our discriminant in this case will be:
[tex]\Delta=(-8)^2-4(1)(2)=64-8=56[/tex]
Since our discriminant is a positive value, our equation has two real roots.
solve and recieve brain list I took a better picture