Answer:
The answer is below
Step-by-step explanation:
Firstly, let us find the value of x. Multiply the first equation by a and the second equation by b to get:
a²x + aby = ca (3)
b²x + aby = cb (4)
Subtract equation 4 from equation 3 to get:
x(a² - b²) = c(a - b)
but a² - b² = (a + b)(a - b)
x(a + b)(a - b) = c(a - b)
x(a + b) = c
[tex]x=\frac{c}{a+b}[/tex]
Secondly, let us find the value of y. Multiply the first equation by b and the second equation by a to get:
abx + b²y = cb (5)
abx + a²y = ca (6)
Subtract equation 5 from equation 6 to get:
y(a² - b²) = c(a - b)
but a² - b² = (a + b)(a - b)
y(a + b)(a - b) = c(a - b)
y(a + b) = c
[tex]y=\frac{c}{a+b}[/tex]
Mrs. Corbett signed 1/2 of all the holiday cards and Mr. Corbett signed 3/8 of all of them. Mrs. Smith will sign the rest of them. If there were 32 cards in all, how many are left to be signed by Mrs. Smith?
Answer:
4 cards
Step-by-step explanation:
1. Approach
First, find how much ([tex]\frac{1}{2}[/tex]) of all the holiday cards is. Then find out how much [tex]\frac{3}{8}[/tex] of all the cards is. After doing so, subtract both amounts from the total number of holiday cards.
2. Find out how many were signed
To find out how much a fraction of a certain value is, multiply the fraction by the value.
[tex]32*\frac{1}{2}=16\\\\32*\frac{3}{8}=12[/tex]
3. Find out how many were left
Now subtract the number of signed cards from the total number of cards.
[tex]32 -( 16 + 12)\\\\= 32 - 16 - 12\\\\= 16 - 12\\\\= 4[/tex]
que es una expresión algebraica
Answer:
En matemáticas, una expresión algebraica es una expresión construida a partir de constantes enteras, variables y operaciones algebraicas (suma, resta, multiplicación, división y exponenciación por un exponente que es un número racional).
Step-by-step explanation:
A sailboat with a sick passenger abroad is following a parabolic path given by the equation = − 2 +2 + 8.
The boat’s captain sent out a distress signal. A speedboat is trying to catch the sailboat to provide medical aid and is on a path given by the linear equation y=- x+8. Besides the y-intercept (starting location) where do the paths of the two boats cross (for each graph you must plot at least 3 points each and give answer in coordinate pair notation)?
A sailboat with a sick passenger aboard is following a parabolic path given by the equation y=-2x+8. T...
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can you please help me with this problem
The baker can make 28 cakes in 7 days.how many cakes can the baker make in 5 days
Answer:
20 cakes in 5 days...........
Answer:
The Baker can bake 20 cakes in five days.
Step-by-step explanation:
Firstly you divide 28 by seven to find how many cakes he baked in one day.The answer is 4.
Secondly to find how much he baked in 5 days u simply multiply 5×4=20
I hope this helps:)
Please help on both! Will give brainliest!!
Please answer! I will give brainliest, it would make my day :-)
Write a formula for the given measure. Let P represent the perimeter in inches, and w represent width in inches. Identify which variable depends on which in the formula.
the perimeter of a rectangle with a length of 5 inches
P=
Step-by-step explanation:
p = perimeter
w = width
let the length be l
as we know that
perimeter of rectangle (p).= 2(l+ w)
p = 2 ( 5+w)
p = 10 + 2w
so here variable p is dependent on the value of w.
hope this will be helpful to you .plz mark my answer as brainlist plzzzz if you find it useful.☺️.
A grocery store buys 300 lb of rice. After a week, the store has sold 210 lb of the rice. The manager uses this bar to show how rice has been sold. Select true or False each statement.
7/100 of the rice has sold true or false
70% of the rice has sold true or false
3/10 of the rice remains to be sold. true or false
90% of the rice remains to be sold true or false
Answer
false
true
false
false
Three students in a painting class made green paint by mixing blue and yellow paint. The table below shows the comparison of ounces of blue paint to ounces of yellow paint that each student mixed. Whose green paint mixture has a yellow-to-blue unit rate of 6 ounces to 1 ounce?
Answer:
Clara
Step-by-step explanation:
A number cube is rolled. What is the probability that a number greater than 4 will be rolled?
5/6
1/3
2/3
1/6
Answer:
1/3
Step-by-step explanation:
Anything under 4 has a 4/6 chance, so whats left is 2/6, which is equal to 1/3.
Answer:
1/3
Step-by-step explanation:
im assuming its a 6 sided dice
so each side is numbered 1-6
u want the probabilty if it being greater than 4
4 of the 6 numbers aren't greater than 4 so 4/6of the time it will be less than 4
which and be simplified to 2/3
so 1/1-2/3=1/3
so there is a 1/3 propbability that it will be greater than 4
Each unit on the grid represents 5
feet. About how far, in feet, is the
drinking fountain from
the bench?
A. 8.5 feet
B. 37.1 feet
C. 33.5 feet
D. 42.7 feet
Answer:
There's no grid but I'd say A if you can give me the grid I'll edit my answer
Step-by-step explanation:
pls answer the following questions i will give brainilest if u get them right
4 × 0.75=?
4 ÷ 0.65 = ?
2.8 × 1.42 = ?
2.75 ÷ 1.30 = ?
Answer:
1. 3
2. 6.15
3. 3.976
4. 2.11
Step-by-step explanation:
Hope this helped:)) Plz mark Brainliest :))
Find the square root of the number. -4 square root -32 The square root is
Answer:
-32 + 2i.....
yan po Ang sagot ko jan
Caleb and Suzanne each have a pile of blue and white chips. Caleb determines in his pile,three out of every four chips is blue. Suzanne determines in her pile, one out of every five chips are blue. How many total chips does each student have if Caleb and Suzanne each have 6 blue chips?
Answer:
Total number of chips Caleb have = 8
Total number of chips Suzanne have = 30
Step-by-step explanation:
In Caleb case -
Three out of every four chips is blue
⇒ If Caleb has total chips = 4
Then Blue chips = 3
⇒White chips = 4 - 3 = 1
Now,
If Caleb have 6 blue chips
⇒3 Blue chips = 4 total chips
1 Blue chip = [tex]\frac{4}{3}[/tex] total chips
⇒6 blue chips = [tex]\frac{4}{3}[/tex] ×6 = 4×2 = 8 total chips
∴ we get
Number of chips become = 8
In Suzanne case -
One out of every five chips are blue.
⇒ If Suzanne has total chips = 5
Then Blue chips = 1
⇒White chips = 5 - 1 = 4
Now,
If Suzanne have 6 blue chips
⇒1 Blue chips = 5 total chips
⇒6 blue chips = 5×6 = 30 total chips
∴ we get
Number of chips become = 30
please help it almost due to 15 points
Answer:
a=30
b=15
c=3
d=30
e=10
Step-by-step explanation:
Solve for A first and continue solving for one variable at a time
please answer the question bellow, i'm so confused lol
Answer:
12
Step-by-step explanation:
find the lcm between 6 and 4
Answer:
He will wear both on the 12th day.
Step-by-step explanation:
Find the LCM (Least Common Multiple) of 4 and 6.
Prime factor both numbers:
4 = 2²
6 = 2 · 3
LCM = 2² · 3
= 12
To find the LCM, take the greatest common numbers (2² and 3) and multiply them.
This method works well with very big numbers.
PLEASE HELP ASAP!!
Graph the function
h (x) = -4x-1.
Answer:
Hope this helps!
AVALIAÇÃO DIAGNÓSTICA
Resolva os problemas abaixo
1) O quilo do feijão que custava R$ 3,90 teve um aumento de 70% Oual é o novo preço do quilo do
feijão?
2) O aluguel de uma casa teve um reajuste e passou de R$ 500,00 para R$ 925,00. Qual foi o percentual
de aumento do aluguel dessa casa
Answer:
hhhsyeuru isuegrjro ehgeurov didyrhy
Marcus borrowed 9000 from his bank to buy a car. The bank charged him a simple interest rate of 1.25%. By the time he paid back the money he had pad a total of 9281.25. How long did it take Marcus to pay back the money?
Answer:
2.5 years
Step-by-step explanation:
Given data
P=9000
r= 1.25%
A= 9281.25
The simple interest expression is given as
A=P(1+rt)
substitute
9281.25= 9000(1+0.0125*t)
9281.25=9000+112.5t
collect like terms
9281.25-9000=112.5t
281.25= 112.5t
t= 281.25/112.5
t= 2.5
Hence the time is 2.5 years
I need help ASAP THIS IT TIMED!!
Answer:
yeah its probably done well
Step-by-step explanation:
Which is the best estimate of the sum of 18.9 and 99.3?
A. 100
B. 110
C. 120
D. 130
Answer:
120
Step-by-step explanation:
99.3 + 18.9 = 118.2
PLEASE I NEWD HELP ON THIS
Answer:
5. Inequality form: n ≥ 3
Interval notation: [3, ∞)
6. Inequality form: x < 4
Interval notation: (- ∞, 4)
11. Inequality form: x > 50
Interval notation: (50, ∞)
12. Inequality form: y [tex]\geq[/tex] 8
Interval notation: [8, ∞)
15. Inequality form: z < 8
Interval notation: (- ∞, 8)
16. Inequality form: y [tex]\geq[/tex] 4
Interval notation: [4, ∞)
Step-by-step explanation:
I tried to graph them as best as I could, I hope this helps!
1/6 + (-7/9) in simplest form
Answer:
Step-by-step explanation:
3/18 + (-14/18)= -11/18
Select all ordered pairs that satisfy the function y =
= 8x + 3
A.
(0,3)
B.
(-1, 43)
C.
(0, -45)
D.
(5, 43)
Answer:
A. (0,3)
Step-by-step explanation:
I need help with this math question
Answer:
16675514 Frog
Step-by-step explanation:
[tex]g(25)=14(1.75)^{25} =16675514[/tex]
Gilbert took 2 hours longer to drive 240 miles on the first day of a business trip than to drive 144 miles on the second day. If his rate was the same both days, what was his driving time for each day?
Answer:
dyvhbCNN mfg beneficialgVCR specializations acknowledgement
2
What is the system by which we can convert between
metric and customary units?
A None; it's different for every unit
B A base-6 algorithm
C A base-10 system
D A mix between multiplication and division
Answer:
i think that it's A.
Step-by-step explanation:
Metric units are the standard units of measurement while customary units are derived from the metric units. To convert between both units, you need a mix between multiplication and division.
Take distance as an instance.
The metric unit of distance is meters.
The customary units are: feet, inches, yards, miles, etc.
To convert from meters to feet, we multiply by 3.281
For instance:
[tex]2\ meters = 2 \times 3.281\ feet[/tex]
[tex]2\ meters = 6.562\ feet[/tex]
To convert from feet to meter, we divide by 3.281.
For instance:
[tex]6.562\ feet = \frac{6.562}{3.281}\ meters[/tex]
[tex]6.562\ feet = 2\ meters[/tex]
Hence, option (d) is true
Read more about metric and customary units at:
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Find the unit rate for this situation: ride a bike 64 miles in 4 hours
The first triangle is dilated to form the second triangle.
Select True or False for each statement.
Statement True False
The scale factor is 0.25.
True – The scale factor is 0.25.
False – The scale factor is 0.25.
The scale factor is 4.
True – The scale factor is 4.
False – The scale factor is 4.
A right triangle with a hypotenuse of 4.4. An arrow points to a smaller right triangle with a hypotenuse of 1.1
Answer:
Both true
Lelelelellele
Identify the cross section that results from slicing the three-dimensional figure with a plane that is parallel to its base
A)Pyramid
B)Rectangle
C)Square
D)Triangle
Answer:
D) triangle
Step-by-step answer:
A pyramid is a three-dimensional figure with a plane that is parallel to its base.
PyramidA three dimensional figure is a figure with a length, width and height. 3D shapes have faces, edges, and vertices.
Rectangle, square and triangle are two dimensional shapes while pyramid is a three dimensional shape.
A pyramid is a three-dimensional figure with a plane that is parallel to its base.
Find out more on Pyramid at: https://brainly.com/question/218706