Call the four people [tex]abc[/tex] and [tex]d[/tex].
We know:
[tex]\frac{a+b+c}{3}[/tex][tex]=42[/tex]
and
[tex]\frac{a+b+c+d}{4}[/tex][tex]=40[/tex]
Thus:
[tex]a + b + c = 126[/tex]
[tex]\frac{126+4}{4} = 40[/tex]
[tex]126 + d =160[/tex]
[tex]d = 34[/tex]
Work out the percentage change when a price of £40 is decreased to £18.
5(-1x+5)=10 pls help
Answer:
-5x+5=10
-5x=10-5
-5x=5
x=-5/5
x=-1
1
Solve the following:
x 100
+3= 19
x=
Answer:
x=4/25
or x=1.028114
or x= 128
Step-by-step explanation:
Answer:x= 128
Step-by-step explanation:
Subtract 3 from both sides of the equation /8+3=19
x/8+3=19
/8+3−3=19−3
Simplify
x/8=16
Multiply all terms by the same value to eliminate fraction denominators
8x x/8=8x16
Simplify
X=128
Match each equation with the correct answer.
19 - 4
24 - 9
Answer:
half of 30
Step-by-step explanation:
19 - 4 = 15
24 - 9 = 15
Students planted 2(3x + 4y) amount of trees on Saturday and then 3(x + 8) amount of trees on Sunday. What is the total amount of trees that the students planted? *
Answer:
(9x + 8y + 24) trees
Step-by-step explanation:
The total amount of trees the students planted is calculated as:
Amount of trees planted on Saturday + Amount of trees planted on Sunday
= 2(3x + 4y) + 3(x + 8)
= 6x + 8y + 3x + 24
= 6x + 3x + 8y + 24
= 9x + 8y + 24
Hence, the total amount of trees the students planted was (9x + 8y + 24) trees
Help me please, please make the answer simple and easy
Answer:
5(3x - 9)
3(5x - 45)
Step-by-step explanation:
If you simplify the expression "Andre" wrote, you would get 15x - 45 and just need two other expressions that equal 15x - 45. In this problem it's simple since only 3 and 5 can multiply to make 15 besides 1 and 15, which is used in the expression "Andre" wrote, meaning it couldn't be used.
-15=15+F
plzzzzzzzzz help me
does 18/24 and 15/20 form a proportion
Answer: yes
Step-by-step explanation:
when you simplify 18/24 goes to 3/4 and 15/20 simplifies to 3/4 as well so they are equivalent
Someone help plz!!! I need some help!
Answer: -24
Explanation:
f(-9) = 3(-9) + 3
f(-9) = -27 + 3
f(9) = -24
2.5×10^3 times what number is equal to 5×10^6?
Answer:
2.5x10^3= 2,500
5x10^6= 5,000,000
Step-by-step explanation:
Here is a great trick that I always keep in mind whenever you are squaring 10 you add that many zeros for example.
10^4= 10000 (there are 4 zeros).
if a 6-kg bowling ball is rolled down the bowling lane with a velocity of 3.5m/s what is the momentum of the ball. show can you please use the formula p=M x V. And can you show me how to do it.
Answer:
Hello, and I would like to help you. Would you mind if I just gave you the answer? If you would like me to explain say so in thec h a t
if you just want the answer tell me in c h a t I can always edit my answer.
Step-by-step explanation:
What is the multiplayer for a 3% increase?
Answer:
3% = 0.03
verified with calculator
What is c? 1/3c = 3/8;c=3/4
Answer:16
Step-by-step explanation:
U just mu
rewrite in simplest terms 5g-4(-0.5g+0.9)
Mark wants to continue using whole liters of paint and thinks he can create a mixture of green paint the is 38 liters. Evaluate Mark's thinking using mathematical reasoning.
The ratio from blue to yellow paint is 2:3
I need helpppppp ASAP
Answer: It's not possible to create 38 liters of green paint with whole liters of blue and yellow paint.
======================================================
Explanation:
The ratio of blue to yellow is 2:3. We have 2 parts blue and 3 parts yellow.
Multiply both parts by x to get 2x:3x
We have 2x parts of blue paint, and 3x parts of yellow paint.
x is some positive whole number.
In total, we have 2x+3x = 5x liters of paint. Set this equal to 38 and solve for x to get
5x = 38
x = 38/5
x = 7.6
We don't get a whole number, which contradicts how we set up x earlier. This must mean that Mark must use a fractional liters, instead of whole liters.
-------------------------
Here's another way to look at it:
Lets say he uses 2 liters of blue and 3 liters of yellow. This mixes to 2+3 = 5 liters of green.
Now let's say he uses 4 liters of blue and 6 of yellow. I multiplied both parts by 2. This mixes to 4+6 = 10 liters of green.
We continue this process to get the following
6 liters of blue + 9 liters of yellow = 15 liters of green8 liters of blue + 12 liters of yellow = 20 liters of green10 liters of blue + 15 liters of yellow = 25 liters of green12 liters of blue + 18 liters of yellow = 30 liters of green14 liters of blue + 21 liters of yellow = 35 liters of green16 liters of blue + 24 liters of yellow = 40 liters of greenAs you can see, we don't land on 38 liters of green. We can get to 35 liters or 40 liters, but not 38. Each of the amounts of green are a multiple of 5.
This is confirmation that Mark will have to use some fractional amount of liters of blue and yellow paint.
this is for jassy sleepy and.., umm some one els with an ice cream avitar.
Answer: hi :) I have an icecream
Step-by-step explanation:
Three friends go grocery shopping together, and each guys the same kinds of strawberries. Akio buys 2 pounds and pays 1.50. Gordon buys 3 pounds and pays 2.25. Maria buys 4 pounds and pays 3.00.
Answer: Graph B
Step-by-step explanation:
The unit price for the strawberries is:
= 1.5 / 2
= $0.75 per pound
Graph B is the right graph as it uses a unit price of $0.75 per pound for strawberry price. This is why it has points of the graph that mirror the friends purchases such as (2, 1.5) , (3, 2.5) and (4, 3).
Answer:
wut lol
Step-by-step explanation:
Hi, I need help with the EXPLANATION of this question. I have the right answer, but I am unsure why. 50 POINTS
Step-by-step explanation:
Using Pythagoras' Theorem, we have
x² + 10² = (12√3)²
Therefore x² = (12√3)² - 10²
= (144)(3) - (100) = 332.
=> x = √332 = 2√83. (B)
1. Albert bought a bicycle for $27 500. He sold it for $35 500.
a) What was the amount of his profit?
b) What was his percentage profit?
35,500-27,500= 8000 meaning $8,000 is the profit and the percentage is %35
HELP PlZ DUE in 30 MIN
m∠6 =
Answer:
Angle 6 is 47°
Step-by-step explanation:
Which number is the additive inverse of -4
-4 1/4
-1/4
1/4
4 1/4
Answer:
4 1/2 maybe
Step-by-step explanation:
Answer ...
Step-by-step explanation: Cheating on your test I see.
i need help if yall can help me
Answer:
C. 5.8
Step-by-step explanation:
We use the Pythagoras theorem here. which is a²+b²=c².
a and b are the replacements for the 5miles and 3miles here.
They are a and b because a and b are always on the right angle side.
The longest side of this triangle is called a hypotenuse which is the c in this case.
the other sides (a and b) are called the adjacent and the opposite.
it doesn't matter if you use adjacent or opposite for a and b in this case.
the only important thing is the hypotenuse here.
So it's a²+b²=c², which is 5²+3²=c².
5² is 25 and 3² is 9, so we add them and we get 34.
so c²=34, we don't want the square on c so we send it to 34 which becomes √34.
√34 gives us 5.8 miles which is up to just only one decimal place.
You might need to use calculators for square roots because they take long to calculate.
Jen deposited $750 in her savings account. The account earns 2% simple interest per year. She has the money in her account for 24 months. How much money did she earn in simple interest?
Answer: $30
Step-by-step explanation:
She has the money in her account for 24 months which is 2 years.
Simple interest is formula is:
A = P (1 + rate * no. of periods)
= 750 * ( 1 + 2% * 2)
= $780
She started with $750 and now has $780.
Earnings in simple interest :
= 780 - 750
= $30
HELP ME PLS ITS SO EASY BUT ME BAD
Answerit would be the first one
Step-by-step explanation:
hii please please help i’ll give brainliest if you give a correct answer tyyyyy
Fred has 45 books. Sally has 27 times more books than Fred. How many books does Sally have?
Answer:
fred = 45 books
sally has 27 times more book than fred
sally = 45 X 27
= 1215 books
50 points !!!!!!!!!!!!!!!!! please help
I will give bairnleast
Answer:
3rd ome
Step-by-step explanation:
Answer:
The answer is a
Step-by-step explanation:
please I beg next time post a clear picture
the answers are not clear
(b) The perimeter of a rectangular window is 298 cm.
If the length of the window is 81 cm, what is its width?
Width of the window: cm
Answer:
68
Step-by-step explanation:
81 +81 is 162
298-162=136
136/2=68
PLZ HELP DUE SOON!!!!
Answer:
Domain → (-∞, ∞) Or set of all real numbers
Range → (3, ∞) Or y > 3
Step-by-step explanation:
f(x) = (0.25)ˣ + 3
By using graphing tool find the graph of the given function.
Given exponential function is defined for all x-values and domain is a set of x-values (input values) of the function.
Domain of the function → (-∞, ∞) Or set of all real numbers
Range of a function is a set of y-values (output values)
Range of the given function → (3, ∞) Or y > 3
Please anyone I’ll mark as a branlist
Answer:
the first option is the answer, r = √6
Step-by-step explanation:
[tex]hypotenuse = \sqrt{opposite {}^{2} + adjacent {}^{2} } [/tex]
hypotenuse = q = √12
adjacent = p = √6
opposite = r
substitute the values into the hypotenuse formula
[tex]q = \sqrt{r {}^{2} + p {}^{2} } [/tex]
[tex] \sqrt{12} = \sqrt{r {}^{2} + ( \sqrt{6} ) {}^{2} } [/tex]
[tex]( \sqrt{12} ) {}^{2} = r {}^{2} +6[/tex]
[tex]12 = r {}^{2} + 6[/tex]
[tex]12 - 6 = r {}^{2} [/tex]
[tex]6 = r {}^{2} [/tex]
[tex] \sqrt{6} = r[/tex]
[tex]r = \sqrt{6} [/tex]