Is this the full question?
Beakers X and Y contain some water. If 50 ml of water is transferred from Beaker X
to Beaker Y, there will be 3/7 as much water in Beaker X as in Beaker Y. IF 100 ml
of water is transferred from Beaker Y to Beaker X, there will be 4 times as much
water in Beaker X as in Beaker Y. How much water is there in Beaker X?
Answer:
140 ml
Step-by-step explanation:
Let x be the amount of water in Beaker X and y be the amount of water in Beaker Y.
Then we get following equations:
First part
x - 50 = 3/7(y + 50)7x -350 = 3y + 1507x = 3y + 500Second part
x + 100 = 4(y - 100) x + 100 = 4y - 400x = 4y - 500Substitute x in first equation:
7(4y - 500) = 3y + 50028y - 3500 = 3y + 50028y - 3y = 500 + 350025y = 4000y = 4000/25y = 160 mlThen finding x:
x = 4*160 - 500x = 640 - 500x = 140 mlInitial amount of water in Beaker X is 140 ml, in Beaker Y is 160 ml
Expand (3+√5)(2+√5)
Give your answer in the form a+b√5 where a and b are integers.
Answer:
11 + 5[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Note that [tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 5
Given
(3 + [tex]\sqrt{5}[/tex] )(2 + [tex]\sqrt{5}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
3(2 + [tex]\sqrt{5}[/tex] ) + [tex]\sqrt{5}[/tex](2 + [tex]\sqrt{5}[/tex] ) ← distribute both parenthesis
= 6 + 3[tex]\sqrt{5}[/tex] + 2[tex]\sqrt{5}[/tex] + 5 ← collect like terms
= 11 + 5[tex]\sqrt{5}[/tex] ← in the form a + b[tex]\sqrt{5}[/tex]
with a = 11 and b = 5
Which ordered pair would form a proportional relationship with the point graphed below?
ТУ
40
30
20
10
-40-30-20-1904 10 20 30 40 x
2
Bo
(-10,-40)
440
O (40, 10)
(-5, -10)
(5, 20)
O (-10.-20)
Answer:
(10, -20)
Step-by-step explanation:
i took the test plz put me as brainist
What is the answer to this problem (5x- 10) - 9
a statement that can be proven is called
Answer:
Theorem is a statement that can be proven .
Hope it helps.
Help needed ASAP will give brainliest
Answer:
I guess the answer is going to be 9/5
If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(4))?
Answer:
-7
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=2x+7\text{ and } g(x)=-3x+5[/tex]
And we want to find f(g(4)).
So, find g(4) first:
[tex]g(x)=-3x+5\\g(4)=-3(4)+5[/tex]
Multiply:
[tex]g(4)=-12+5[/tex]
Add:
[tex]g(4)=-7[/tex]
Now, substitute:
[tex]f(g(4))=f(-7)[/tex]
Use the equation from f(x):
[tex]f(x)=2x+7\\f(-7)=2(-7)+7[/tex]
Multiply:
[tex]f(-7)=-14+7[/tex]
Add:
[tex]f(-7)=-7[/tex]
So:
[tex]f(-7)=f(g(4))=-7[/tex]
And that's our answer :)
Write an equivalent expression by distributing the "-−" sign outside the parentheses: -(3.4p-6q+6) −(3.4p−6q+6)
Answer:
[tex]-(3.4p-6q+6)[/tex] = [tex]-3.4p+6q-6[/tex]
Step-by-step explanation:
Given
[tex]-(3.4p-6q+6)[/tex]
Required
Simplify
[tex]-(3.4p-6q+6)[/tex]
Rewrite as
[tex]-1(3.4p-6q+6)[/tex]
[tex]-1 * (3.4p-6q+6)[/tex]
Open the bracket
[tex]-3.4p+6q-6[/tex]
Please help Faaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaast 2x ≤ − 2/7 (8x + 8)
Answer:
[tex]x\leq - \frac{8}{15} [/tex]Step-by-step explanation:
[tex]2x \leq - \frac{2}{7} (8x + 8)[/tex]First of all multiply through by 7
We have
[tex]14x\leq - 2(8x + 8)[/tex]Expand the terms in the bracket
That's
[tex]14x\leq - 16x - 16[/tex]Add 16x to both sides
That's
[tex]14x + 16x\leq16x - 16x - 16 \\30x\leq - 16[/tex]Divide both sides by 30
We have the final answer as
[tex]x\leq - \frac{8}{15} [/tex]Hope this helps you
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1100
1200
1300
1400
1500
1600
1700
According to the table, how many hours of training would you need to have a
monthly pay of $1140?
A. 12
B. 4
C. 2
D. 14
1
Parallel lines s and t are intersected by transversal lines fand g, as shown in the figure below. What is the measure of angle 1?
g
st
OA. 46°
ОВ.
136°
OC.
44°
OD. 134
Reset
Next Question
I need the answer ASAP
Is -3 a natural number a whole number a integer a rational number or irrational number
Answer:
-3 is a rational integer.
Step-by-step explanation:
An integer is a superset of the whole numbers that includes the negated values as well as 0.
A rational number is simply anything that can be expressed as a fraction.
-3 is by these definitions, a negated 3, and any non fractional number can be expressed as a fraction.
-3 is not a natural number, as that is the set of numbers {1, 2, 3, 4, 5, ... etc} and -3 is not a whole number, as that is the set of numbers {0, 1, 2, 3, 4, ... etc}.
And -3 is also not an irrational number since it can be expressed as a fraction.
Thus, -3 is a rational integer.
Cheers.
find the coordinates of the other endpoint of the segment of one endpoint is (-2,-7) and midpoint is (6,-10)
Answer:
(14, - 13 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
let (x₁, y₁ ) = (- 2, - 7) and (x₂, y₂ ) = (x, y)
Using the midpoint formulae equate to the coordinates of the midpoint.
[tex]\frac{1}{2}[/tex] (- 2 + x) = 6 ( multiply both sides by 2 )
- 2 + x = 12 ( add 2 to each side )
x = 14
and
[tex]\frac{1}{2}[/tex] (- 7 + y ) = - 10 ( multiply both sides by 2 )
- 7 + y = - 20 ( add 7 to both sides )
y = - 13
Thus
coordinates of other endpoint = (14, - 13 )
36=6u+30 PLEASE HELPPPP!!!
Answer: u = 1
36 = 6(1)+30
Step-by-step explanation:
Answer:
1=u
Step-by-step explanation:
36-30=6u+30-30
6=6u
6÷6=6u÷6
1=u
please answer this question with explanation
I WILL GIVE BRAINLIEST a scale on a map shows that 2 inches = 25 miles Part A: How many inches on the map = 60 miles? ------------------------------------------------------------------------ Part B: How many miles are represented by 1/4 inch on the map?
Answer:
4.8 in, 3.125 mi
Step-by-step explanation:
This situation models direct proportionality, hence, if one variable increases, the other goes increases as well and vice versa. In this case, the variables are inches and miles.
Part A: Since you multiply 60/25 by 25 to get 60 miles, we know that the value in inches will be 2 * 60/25 = 4.8 inches.
Part B: Since you divide 2 by 8 to get 1/4 inches, we know that the value in miles will be 25 / 8 = 3.125 miles.
on Tuesday at low tide the water was 17 ft below sea level. Then it rained for three days and the water level rose 20 feet. On Saturday it the water level dropped 5 ft and by Sunday it dropped another 3 feet. what was the water level by the end of the day on Sunday?
Find the remainder when (2x^2 +2x+1) is divided by ( x+1)
Use the remainder theorem, which says the remainder upon dividing a polynomial [tex]p(x)[/tex] by [tex]x-c[/tex] is exactly [tex]p(c)[/tex]. In this case,
[tex]p(x)=2x^2+2x+1[/tex]
[tex]c=-1[/tex]
[tex]\implies p(c)=2(-1)^2+2(-1)+1=\boxed{1}[/tex]
Half the perimeter of a rectangular room is 46 m, and its length is 6 m more than its breadth. What is the length and breadth of the room?
Answer:
26 m and 20 m
Step-by-step explanation:
Let the length of the room be l, the breadth be b and perimeter be P.
Given:
P/2 = 46 ml = b + 6 mSolutionSince P = 2(l + b), P/2 = l +b, we have following equations:
l + b = 46l = b + 6Substituting l in first equation:
b + 6 + b = 462b + 6 = 462b = 40b = 20 mThen the length is:
l = b + 6 = 20 + 6 = 26 mSara bought a meal in a town that has no sales tax. If she tipped 20% and paid a total of $18.96, what was the original cost of her meal?
Answer: $18.76
Step-by-step explanation:
Let original cost of meal =x
According to question,
x+20%=18.96
x=18.96-20%
x=$18.76
Answer:
original cost of meal = $15.80
Step-by-step explanation:
120% = $18.96 (divide both sides by 120)
1% = $0.158 (multiply both sides by 100)
100% = $15.80
hope this helps...
The value below lies between which two integers on a number line.
-V57
А.
-7 and -8
B.
7 and 8
С
56 and 58
D
-56 and -58
Help fast
Answer:
2(29D-28adn-29)
Step-by-step explanation:
plz help ASAP!!! WILL MARK U BRAINLIEST IF CORRECT
Answer:
I think it is A.
Step-by-step explanation:
How many solutions does the equation 4y − 4y − 12 = 14 − 2 have?
Answer:
NONE
Step-by-step explanation:
4Y-4Y-12=14-2
LETS ADD AND SUBTRACT
-12=12
WHICH ISNT TRU!
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Answer:
None
Step-by-step explanation:
The equation states after simplifying that -12 = 12 which is not a true statement.
What’s the area of a square with the vertices (3,3),(6,6),(9,3), and (6,0)
Answer:
I believe the area of a square with those vertices is 16 units
Can somebody help me with this ?? :)
Answer:
Your answer would be D, the equation is a function because it is a polynomial and all polynomials are functions.
Step-by-step explanation:
I like to remember that polynomials have no negative , fraction exponents and no division. In this case everything is positive so I knew it was a polynomial , and like the answer says all polynomials are functions !
Hope this helped
You are choosing between two different cell phone plans. The first plan charges a rate of 26 cents per minute. The second plan charges a monthly fee of $39.95 plus 12 cents per minute. Let t be the number of minutes you talk and C1 and C2 be the costs (in dollars) of the first and second plans. Give an equation for each in terms of t, and then find the number of talk minutes that would produce the same cost for both plans (Round your answer to one decimal place). C1= C2= If you talk for minutes the two plans will have the same cost.
Answer:
285.28571429 minutes
Step-by-step explanation:
Let us represent
The number of minutes you talk = t
C1 = Cost in dollars of the first plan
C2 = Cost in dollars of the second plan
First plan
The first plan charges a rate of 26 cents per minute
Converting cents to dollars
100 cents = 1 dollars
26 cents =
26/100 cents
=$ 0.26
C1 = $0.26 × t
C1 = 0.26t .......... Equation 1
Second Plan
The second plan charges a monthly fee of $39.95 plus 12 cents per minute
Converting 12 cents to dollars
100 cents = 1 dollars
12 cents =
12/100
= $0.12
C2 = $39.95 + 0.12t........Equation 2
Find the number of talk minutes that would produce the same cost for both plans
We would Equate C1 to C2
C1 = C2
0.26t = $39.95 + 0.12t
Collect like terms
0.26t - 0.12t = $39.95
= 0.14t = $39.95
Divide both sides by 0.14
= t = $34.95/0.14
t = 285.28571429 minutes
Therefore, the number of talk minutes that would produce the same cost for both plans is 285.28571429 minutes.
Given x=-3, y=6, and z=-4 22-3y+4x=
Answer: -8
Explanation: It's a good idea to get into the habit of using parenthses
when substituting numbers in for variables.
Since x = -3 and y = 6, 22 - 3y + 4x is 22 - 3(6) + 4(-3).
3(6) is 18 so we have 22 - 18 + 4(-3).
4(-3) is - 12 so we have 22 - 18 + -12.
Now, 22 - 18 is 4 and 4 + -12 is -8.
Answer:
-8
Step-by-step explanation:
Subsitute the variable "y" with 6 and the variable "x" with -3. Once the variables are replaced with the right numbers, the equation should read 22- 3(6) +4(-3). Using PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) you should do what's in the parentheses first. -3 times 6 is -18 and 4 times -3 is -12. 22-18-12= -8
A bakery sold a total of 500 cupcakes in a day, and 200 of them were mocha flavored. What percentage of cupcakes sold that day were mocha flavored?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{40\% \: }}}}}[/tex]
Step-by-step explanation:
Total number of cupcakes = 500
Total number of mocha flavored cupcakes = 200
To find : percentage of mocha flavored cupcakes sold that day
[tex] \boxed{ \sf{ \frac{total \: number \: of \: mocha \: flavored \: cupcakes}{total \: number \: of \: cupcakes} \times 100 \: \% \: }}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{200}{500} \times 100\%}}[/tex]
[tex] \dashrightarrow{ \sf{40 \: \% \: }}[/tex]
Hope I helped!
Best regards ! :D
Answer:
40% were mocha flavored cupcakes.
Step-by-step explanation:
200/500 = 2/5
2/5 = 40%
Hope it helped you!
find the length of the line segment AB if the coordinates of the end points are A (-1, 5) & B (3,11)
Answer:
5,6
Step-by-step explanation:
Explain how economic forces such as employment, income, prices, interest rates, and consumer confidence influence the purchasing decisions you make as a consumer.
Answer: kindly check explanation
Step-by-step explanation:
As a consumer, a number of factors play a number of factors play a major role and guides my purchasing decision. These factors include :
Employment : Being employed or self employed and being unemployed definitely plays a role in one's income level. An unemployed individual may tend to be more conservative when deciding on what or what not to purchase.
Income : Employment has grades which could be defined based on income level of workers, individuals with higher wages or salaries will tend to boast more financial strength than those with meager income.
Prices : Cost of items may be used to interpret quality product in some cases, hence some individuals may be put off by high cost associated to a product while some may be attracted to them.
Interest rate: Interest rates are often unstable and as such may guide an individual's investment plan, by holding on when interest falls and financing when it rises.
Consumer confidence : The contentment individuals derive from using a product may be nurtured through previous experience and hence either builds consumer confidence in a certain brand or a loss or decline in confidence over such product.