Answer:
44 kg, and since both sold the same amount so did A.
Let me know if this method doesn't make sense though and I should be able to explain it.
Step-by-step explanation:
Both shops sold the same amount, let's call it x.
At the end, let's say shop B had y left, this means A would have 4y left, since the question says "After each shop sold the same quantity of rice, the amount of rice left in Shop A was 4 times that of Shop B"
So this means A started with 156, sold x and was left with 4y, or in math 156 - x = 4y
B you could write 72 - x = y
Now you have a system of equations.
156 - x = 4y
72 - x = y
There are a number o ways to look at this. If you graph them you want the (x, y) coordinates where they intersect, or in other words the x and y values that work for both of these equaions.
The methods all wing up making you solve for one variable and plugging it into the other equation to solve for the other. The easiest method is probably canceling out.
156 - x = 4y
72 - x = y
Now, for these two the goal is to make one of the variables go away by adding or subtracting one equation from the other. You could also multiply one by something. In fact here are all possibilities.
If you subtract one from the other here is what would happen.
156 - x = 4y
-(72 - x = y)
_________
156 - x = 4y
-72 + x = -y because you distribute the minus sign
_________
84 = 3y because 156-72 = 84, -x + x = 0 so they canceled out and 4y - y = 3y
28 = y because you divide both sides by 3.
It's all just algebra after the addition/ subtraction. You could also do it the other way subtracting 156 - x = 4y from 72 - x = y. Either way would cancel the xs. But now that you know y = 28 you can plug that into either of the equations again to find x.
156 - x = 4y
156 - x = 4(28)
156 - x = 112
156 = 112 + x
44 = x
72 - x = y
72 - x = 28
72 = 28 + x
44 = x
Now, if you wanted to cancel the ys initially you would have to multiply.
156 - x = 4y
72 - x = y
Normally subtracting just got rid of the xs. You would need to multiply the bottom one by 4 to get rid of ys.
156 - x = 4y
288 - 4x = 4y
Now if you subtracted one from the other the 4ys would cancel. You could also divide the top one by 4 and get
39 - x/4 = y
72 - x = y
here you have a fraction though and that's gonna make things a little more difficult.
Let me know if this method doesn't make sense though and I should be able to explain it.
If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?
Answer:
3
Step-by-step explanation:
We are going to be using cofunction identity cos(90-x)=sin(x).
Apply to either side but not both.
cos(22f − 1) = sin(7f + 4)
sin(90-[22f-1])=sin(7f+4)
90-[22f-1]=7f+4
Distribute
90-22f+1=7f+4
Combine like terms
91-22f=7f+4
Add 22f on both sides
91=29f+4
Subtract 4 on both sides
87=29f
Divide 29 on both sides
3=f
f=3 is between 0 and 90
Answer:
The answer is "3."
Step-by-step explanation:
Just submitted the test and got the answer correct!
Find the area
Please help me
Answer: 24 square cm.
8*6=48
48/2=24
Answer:
24 cm^2
Step-by-step explanation:
(w*h)/2
Someone please help me with this math problem?
Answer:
(C) 0.3(10 + 4h) = 0.25(6h)
Step-by-step explanation:
Here's what we know about Fernando's fees:
$10 is the initial fee
$4 is the hourly fee (h)
Saves 30% (also written as 0.3) of the total cost (includes initial and hourly fee)
Here's what we know about Brenna's fees:
No initial fee
$6 is the hourly fee (h)
Saves 25% (also written as 0.25) of the total cost (just the hourly fee because she doesn't have an initial fee)
We want to find which hour Fernando and Brenna will have saved the same amount of money.
To do this, let's first set up an equation for Fernando and Brenna separately:
Fernando's equation:
0.3(10 + 4h) = how much money he saves from the total cost
Brenna's equation:
0.25(6h) = how much money she saves from the total cost
Now we set them equal to each other:
0.3(10 + 4h) = 0.25(6h)
There's your answer!
Hope it helps (●'◡'●)
Find the value of cos C rounded to the nearest hundredth, if necessary
[tex]\bold{\frac{5}{13} or 0.38}[/tex]
Answer:
Solution given:
here
by using Pythagoras law
hypotenuse =
[tex]\displaystyle\sqrt{adjacent ²+opposite ²}\\=\sqrt{15²+36²}=39[/tex]
Cos C=[tex]\frac{adjacent} {hypotenuse}=\frac{15}{39}=\frac{5}{13} or{0.38}[/tex]
pls help w this
√2x+1 = 4
In the equation above, what is the value of 2x +1?
A) 3/2
B) 2
C) 4
D) 16
Answer:
[tex]\boxed {\boxed {\sf D. \ 16}}[/tex]
Step-by-step explanation:
We are given the following equation and asked to solve for 2x+1.
[tex]\sqrt {2x+1}=4[/tex]
We want to isolate the entire expression of 2x+1. Notice that it is under the square root. If we want to isolate it, we have to perform the inverse operation. The inverse of a square root is a square, so we square both sides of the equation.
[tex](\sqrt{2x+1} )^2= (4)^2[/tex]
[tex]2x+1=(4)^2[/tex]
[tex]2x+1=16[/tex]
We could continue solving for x, then plug the answer back into the expression 2x+1. However, hopefully you notice that we already found the answer!
We only had to do one step to find the answer, but you could complete many other steps to get the same answer:
[tex]2x+1-1=16-1\\2x=15\\2x/2=15/2\\x= 7.5[/tex] (Solve for x)
[tex]2x+1\\2(7.5)+1\\15+1\\16[/tex] (Plug the answer in for x)
The value of 2x+1 is 16 and the correct answer is 16.
Rewrite the expression using rational exponents .
Answer:
Step-by-step explanation:
[tex]\sqrt[5]{(3y)^{4}} = [(3y)^{4}]^{\frac{1}{5}}=(3y)^{4*\frac{1}{5}}=(3y)^{\frac{4}{5}}[/tex]
Find the value of `x´ in the given parrallelogram.
Step-by-step explanation:
=> (3x-12) =(x+6)
or,3x - x = 6 + 12
or,2x = 18
or,x = 18/2
•: x=9#
Can someone help with this problem
Step-by-step explanation:
x+35+25=180
x+60 =180
x = 120.
y+x =18
find the volume of the cylinder in terms of pi and to the nearest tenth
Answer:
100π
Step-by-step explanation:
Before we even begin solving for the volume we should note that the question says to find the volume of the cylinder " in terms of pi". this means that if pi is present we do not apply it to our final answer and we just leave our answer as __pi
Having that being cleared let's find the volume
volume of a cylinder = πr²h
where r = radius and h = height
looking at the figure the cylinder has a known radius of 5in and a given height of 4in
so r = 5 and h = 4
that being said we want to plug in these given variables into the volume of a cylinder formula
V = πr²h
r = 5 and h = 4
V = π5²4
5²=25
25(4)=100
V = 100π
once again we must leave our answer in terms of pi so the final answer would be 100π
Find the missing angle in the image below. Do not include spaces in your answers ** Can somebody help me fr everybody keep giving me the wrong answer
Answer:
measure of angle V + measure angle W = VUF
Answer:
∠ VUF = 94°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles
∠ VUF is an exterior angle of the triangle, then
∠ VUF = 71° + 23° = 94°
Grafico de deportes: fútbol 30%, atletismo 25%, tenis 5%, voleibol 10%, basquetbol 20%. Si 165 jóvenes prefieren el fútbol ¿cuantos prefieren el basquetbol?
Answer:
33 jóvenes prefieren el basquetbol.
Step-by-step explanation:
Hay 165 jóvenes.
De estos, 20% prefieren el basquetbol.
¿cuantos prefieren el basquetbol?
20% de 165, entonces:
[tex]20\% = \frac{20}{100} = 0.2[/tex]
[tex]0.2*165 = 33[/tex]
33 jóvenes prefieren el basquetbol.
Team members Corinne, Kevin, and Tomas decide to share the cost
of 2 motor controllers and 4 wheels equally. How much does each
member need to contribute?
Please help(write step by step and upload pic or do it here please I appreciate it so much !
Answer:
each member needs to put in 91.70 dollars in.
Step-by-step explanation:
you add the costs of all the tools needed. in this case the two controllers and wheels which adds up to 275.1.
then you divide by the amount of people which is three. so 275.1/3 and you get 91.7
If a= 5-2 root 6 then find the value of root a - 1/root a
Answer:
2\sqrt2
Step-by-step explanation:
a=5-2√6 ...(1)
[tex]\frac{1}{a}=\frac{1}{5-2 \sqrt{6} } \times\frac{5+2\sqrt{6} }{5+2\sqrt{6} } =\frac{5+2\sqrt{6}}{(5-2\sqrt{6})(5+2\sqrt{6})} =\frac{5+2\sqrt{6}}{5 ^2-(2\sqrt{6})^2} =\frac{5+2\sqrt{6}}{25-24} =5+2\sqrt{6}\\a+\frac{1}{a}=5-2\sqrt{6}+5+2\sqrt{6}=10[/tex]
[tex](\sqrt{a}-\frac{1}{\sqrt{a}})^2=(\sqrt{a})^2+(\frac{1}{\sqrt{a}})^2-2 \times \sqrt{a} \times \frac{1}{\sqrt{a}}=a+\frac{1}{a}-2=10-2=8\\\sqrt{a}-\frac{1}{\sqrt{a}}=\sqrt{8}=2\sqrt{2}[/tex]
hello can you help me with this?
Answer:
x = 25.5
Step-by-step explanation:
suppose RS and MQ are parallel the sum of angle MRS and RMN would be 180 degrees
2x + x + x 78 = 180 add like terms then subtract 78 from both sides
4x = 102 divide both sides by 4
x = 25.5
Find the measure of the indicated angle
Answer:
Step-by-step explanation:
This is an isosceles triangle because 2 of the sides are the same length (marked with single slashed through them). The Isosceles Triangle Theorem tells that if 2 sides are congruent to each other, then the angles opposite those sides are congruent to each other as well. That means that the bottom left angle measures 68. According to the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180, so:
x = 180 - 68 - 68 so
x = 44
A washer and a dryer cost $587 combined. The washer costs $63 less than the dryer. What is the cost of the dryer?
Answer:
The dryer costs $325.
Step-by-step explanation:
Let w represent the cost of the washer and d represent the cost of the dryer.
They cost $587 combined. In other words:
[tex]w+d=587[/tex]
The washer costs $63 less than the dryer. Therefore:
[tex]w=d-63[/tex]
Thus, we have the system of equations:
[tex]\displaystyle \begin{cases} w+d = 587 \\ w=d-63\end{cases}[/tex]
We can solve it using substitution. Substitute the second equation into the first. Hence:
[tex](d-63)+d=587[/tex]
Combine like terms:
[tex]2d-63=587[/tex]
Add 63 to both sides:
[tex]2d=650[/tex]
And divide both sides by two. Hence:
[tex]d=325[/tex]
The dryer costs $325.
Further Notes:
And since the washer is $63 less, the washer costs:
[tex]w=(325)-63=262[/tex]
The washer costs $262.
Write a phrase in words to match each expression.
5+3
——
n
Answer:
sum of five and 3 is divided by n
Graph the solution set to this inequality. -4(x+ 3) ≤-2x
Answer:
hey hope the given pic are helpful(sorry for my bad writing)
X
2
4
00
12
V
4
2.
1
2/3
Answer:
She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:
y = -29.202x + 293.5
Step-by-step explanation:
Select the correct answer.
Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table
If we want to provide a 95% confidence interval for the mean of a population, the confidence coefficient will be
Step-by-step explanatiosorry don't understand question be more specific
1. Describe the graph of the line x=5
Answer: a Line going up and down
Step-by-step explanation:
Answer:
See explanation below
Step-by-step explanation:
The line x = 5 would be vertical and lies on x = 5 within the x-axis.
In an office there was a small cash box.One day ann took half of the money plus$1 more.Then dan took half of the remaining money plus$1 more.Stan then took the remaining $11.How many dollars were originally in the box?
Answer:
this as a equation looks like this
-1/2x+1+x=11
1/2x=10
x=20
Hope This Helps!!!
20 dollars were originally in the box
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
In an office there was a small cash box.
One day ann took half of the money plus$1 more
Then dan took half of the remaining money plus$1 more
Stan then took the remaining $11
-1/2x+1+x=11
Subtract 1/2x from both sides
1/2x=10
Multiply 2 on both sides
x=20
Hence, 20 dollars were originally in the box
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ5
Chad gets an annual salary of 25,000. He and his family spend 3500 per year on food. What percent of his salary is spent on food
Answer:
[tex]\frac{x}{100}[/tex] x 25000 = 3500
[tex]x[/tex] x 250 = 3500
x = 3500/250
x = 350/25
x = 14%
Can someone help solve the problems 2-4
Answer:
1234567891011121314151617181920
Step-by-step explanation:
you just count
Can someone help me with this math homework please!
Answer:
x = 48.125
Step-by-step explanation:
Explanation in progress! (●'◡'●)
Answer:
48.25
Step-by-step explanation:
first wirte the same qa and write long qa and write the ans in procesa
WILL MAKE BRAINLIEST IF CORRECT!!
What is the equation of the line? *easy*
Answer:
y = - 7
Step-by-step explanation:
The equation of a horizontal line parallel to the x- axis is
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through all points with a y- coordinate of - 7, then
y = - 7 ← equation of line
An amusement park has discovered that the brace that provides stability to the ferris
wheel has been damaged and needs work. The arc length of steel reinforcement that
must be replaced is between the two seats shown. The sector area is 28.25 square
feet and the radius is 12 feet.
Brace that provides
A: 4.708
B: 2.669
C: 9.417
D: 2.354
stability to the ride
What is the length of steel that must be replaced?
04.708 feet
Answer:
Hence the correct answer is option (A) 4.708.
Step-by-step explanation:
Solution:-
Now, we need to find the angle of the sector by using sector formula,
[tex]A = 28.25 ft^{2} \\r = 12ft.\\\\28.25 = \frac{\theta}{360^{o} } \times \pi \times 12^{2} \\\\\theta=\frac{28.25\times 360}{12 \times12 \times \pi} \\\\\theta =( \frac{70.625}{\\pi} )^{o}[/tex]
We now convert the angle to radian
[tex]\theta = \frac{70.625}{\pi} \times \frac{\pi}{180}\\\\\theta = 0.39236 radian[/tex]
Now we calculate the length of arc by arc formula
[tex]\theta=\frac{I}{12} \\\\0.39236 =\frac{I}{12}\\\\I = 4.708 feet.[/tex]
So, The length of steel that must be replaced is 4.708 ft.
Intercept Form
Point (-3,4)
Slope 5/3
m= b=
Answer:
y = 5/3x + 9
Step-by-step explanation:
y = 5/3x + b
4 = 5/3(-3) + b
4 = -5 + b
9 = b
solve the simultaneous equation: y=2x²+3x-31 y= x= 21-2x
Answer:
1. x =(3-√257)/4=-3.258
2. x =(3+√257)/4= 4.758
Step-by-step explanation:
irst add
x
to both sides of the second equation to get:
y = x + 3
Then substitute this expression for y into the first equation to get:
29 = x 2 + ( x + 3 ) 2 = 2 x 2 + 6 x + 9
Subtract 29 from both ends to get:
0 = 2 x 2 + 6 x − 20
Divide both sides by 2 to get:
0 = x 2 + 3 x− 10 = ( x+ 5 ) ( x − 2 )
So x = 2 or x = − 5
If x = 2 then y = x + 3 = 5 .
If x = − 5 then y=x + 3 = − 2
So the two solutions
( x, y ) are ( 2 , 5 ) and ( − 5 , − 2 )
If sin theta equals to a divided by b what is the value of sec square theta minus tan square theta
Answer:
Square is the answer
hope it helps u
plz mark it as brainliest