Answer:
Her brother is 10 years old
Step-by-step explanation:
14 ÷ 2 = 7
7 + 3 = 10
The answer is 10
A -gallon [gal] quantity of molten (liquefied) plastic is going to be used to make a 1-foot [ft] by 8-inch [in] plastic block. If liters [L] of the plastic is lost in the manufacturing process, how thick is the final plastic block, in units of inches [in]?
Answer:
x = 1,77 in
Step-by-step explanation:
Total volume of molten plastic to make a block is
1 [gal] - 1 L (lost in the process) = 3,7854 - 1 = 2,7854
Now the volume of the block is:
1 foot * 8 inches * x ( thick of the block )
1 foot is 0,3048 meter and 1 inch is 0,0254 meter
Then in m³ the volume of the block is
0,3048 * 8 * 0,0254 * x = 0,06193536 * x [ m³ ]
That volume should be equal to 2,7854 / 1000
Therefore
0,06193536 * x = 2,7854 / 1000 x in m³
x = 2,7854 /61,93536 m
x = 0,044972 m and 1 m = 39,37 in
x = 1,77 in
Which value of x will make the fraction 10/x equivalent to 2/3?
I need this urgently!!!
Answer:
The value of x would be 15
Explanation:
10/x = 2/3
Cross multiply:
10 · 3 = x · 2
30 = 2x
30 ÷ 2 = x
15 = x
Find the PERCENT of change.
20 dogs to 5 dogs
Answer:
75%
Step-by-step explanation:
20-5=15 - change in numbers
15/20×100%= 75%
Question 3 :
Furniture of vendor firm recorded in
the books at Rs.2,50,000, were taken
over by the partner at an agreed
value of Rs.1,75,000, the amount to
be debited to partners' capital
account will be:
Rs. 2,50,000
Rs.75,000
Rs.4,25,000
Rs. 1,75,000
Answer:
Rs. 2,50,000
Step-by-step explanation:
When a partnership distributes inventory items (hot asset) to its partners, the basis of the inventory items is used to record the transaction. Only when partnerships distribute assets other than hot assets will the fair market value of the assets be used to record the transaction.
The logic is that inventory items are valued at lower of cost or market value. This means that inventory items are already valued at FMV or cost, whichever is less. If the partnership recorded the transaction using Rs.1,75,000, then it would have to record a loss, and distributions cannot generate losses to a partnership. The only way to record the inventory items at Rs.1,75,000 is that previously the partnership writes down inventory.
Find the number whose arithmetic square root is 0.6
Answer: 0.36
Step-by-step explanation:
6/10 x 6.10= 36/100
Which of the following shows the best communicative property of addition ?
4+5=4-(-5)
4+5=9
4+5=5+4
4+5=4+(2+3)
Answer:
In the given options, 4+5 = 5+4 shows the best commutative property.
Step-by-step explanation:
One of the properties that can be applied on numbers is commutative property. Commutative property states that the order of the numbers on which any operation is being performed, can be swapped and the answer won't change.
Commutative property can be applied on addition, subtraction and multiplication.
Commutative property of Addition:
Commutative property of addition states that changing the order of adding two numbers does not change the result i.e. a+b = b+a
In the given options, 4+5 = 5+4 shows the best commutative property.
Pam drivers 14,735 miles in one year. The next year she drivers 13,869 miles. How many miles did she Drive in all?
Answer:28604 in total
Step-by-step explanation:
just copy and paste hope this helps
Answer:
28604 miles
Step-by-step explanation:
Just add the two numbers to get the total number of miles:
14735
+ 13869=
28604
A total of $5000 is invested: part at 5% and the remainder at 15%. How much is invested at each rate if the annual interest is $720?
Answer:
At 5% , $300 was invested
At 15%, $4,700 was invested
Step-by-step explanation:
Let the amount invested at 5% be $x and the amount invested at 15% be $y
x + y = 5000 ••••••(i)
Let’s work with the interest;
5% of x + 15% of y = 720
0.05x + 0.15y = 720 •••••(ii)
From i;
x = 5000-y
Insert this into ii
0.05(5000-y) + 0.15y = 720
= 250 - 0.05y + 0.15y = 720
250 + 0.1y = 720
0.1y = 720-250
0.1y = 470
y = 470/0.1
y = $4700
x = 5000-y
x = 5000-4700 = $300
A fish makes 480 dives on 10 hours at this rate how many dives did the fish do in 4 hours
Answer: 1200
Step-by-step explanation:
Answer:
192
Step-by-step explanation:
First, you would divide 480 by 10 to get 48 because you divide by the number of hours.
Then, multiply 48 by 4 to get your answer.
The answer: 192
A taxi ride costs $4 plus an additional $3 per mile. Write the equation for the line in slope-intercept form
Answer:
y=3x+4
Step-by-step explanation:
4 is your y-intercept, and 3 is your slope.
The linear function shows the total cost will be y = 3x + 4.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
A taxi ride costs $4 plus an additional $3 per mile.
Let's say the number of miles is represented as x while the total cost is represented as y.
y = 3x + 4
Hence "The linear function shows the total cost will be y = 3x + 4".
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In a semiconductor company's quality control test, a machine found that 14 out of a sample of 234 computer chips were defective. How many of the 4705 such chips that the company makes each month would you expect to be defective?
Answer:
281-282
Step-by-step explanation:
Solve for x.
14 = 28 + 7x
Answer:
X = 2
Step-by-step explanation:
14= 28 + 7x
28 - 14 = 7x
14 = 7x
14 / 7
2 = x
Answer:
x = − 2
Step-by-step explanation:
An open-top box is to be made from a 12-inch by 24-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What is the maximum possible volume, in cubic inches, of the box?
Answer:
The maximum possible volume = 332.685 cubic inches
Step-by-step explanation:
From the information given:
Let the height be = x
The length be = 24 - 2x
The width be = 12 - 2x
Then V = x (24 -2x) ( 12 - 2x)
V = x ( 288 -48x - 24x +4x²)
V = x(288 - 72x + 4x²)
V = 288x - 72x² + 4x³
[tex]\dfrac{dV}{dx}= (3x^2 - 36x+ 72)[/tex]
[tex]\implies x^2 - 12x + 24 = 0[/tex]
[tex]=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]=\dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(1)(24)}}{2(1)}[/tex]
[tex]=\dfrac{12 \pm \sqrt{144 - 96}}{2}[/tex]
[tex]=\dfrac{12 \pm \sqrt{48}}{2}[/tex]
where;
[tex]x \ne \dfrac{12 + \sqrt{48}}{2}[/tex]
∴ [tex]x= \dfrac{12 - \sqrt{48}}{2}[/tex]
x = 2.536 ( since the length cannot be negative)
So, the length x = 24 - 2(2.535) = 18.93
The width = 12 - 2(2.535) = 6.93
heigth = 2.536
∴
V = 18.93 × 6.93 × 2.536
V = 332.685 cubic inches
A box is made from a plastic sheet by removing square from each corner, maximum volume of this box will be 332.55 cubic inches.
Volume of a cuboid: Volume of a cuboid or rectangular box is given by the expression,Volume = Length × Width × Height
Given in the question,
Plastic sheet with length = 12 inches Width of the sheet = 24 inches A square has been removed from each corner to fold the box.Let the measure of each side of a square removed = x inches
Therefore, length of the box = (12 - 2x) inches
Width of the box = (24 - 2x) inches
Height of the box = x inches
Volume of the box (V) = (12 - 2x) × (24 - 2x) × (x)
V = 4x³ - 72x² + 288x
To find the maximum volume of the box differentiate the expression with respect to 'x' and equate it to zero.
V' = 12x² - 144x + 288
For V' = 0,
12x² - 144x + 288 = 0
x² - 12x + 24 = 0
[tex]x=\frac{12\pm\sqrt{(12)^2-4(1)(24)} }{2(1)}[/tex]
[tex]x=(6\pm2\sqrt{3})[/tex]
[tex]x=9.46,2.54[/tex]
For x = 9.46,
Volume of the box = 4(9.46)³- 72(9.46)² + 288
= -2769.03 cubic inches
For x = 2.54,
Volume of the box = 4(2.54)³- 72(2.54)² + 288
= 332.55 cubic inches
Therefore, maximum volume of the box will be 332.55 cubic inches.
Learn more about the volume of a cuboid here,
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write an equation of the line with a slope of -3/4 and y-intercept of -6
Answer:
y = -3/4x - 6
Step-by-step explanation:
A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing x fuel tanks is given by ... C(x) = 10000 +90x - 0.08x2 Find the exact cost of producing the 501st item.
Answer:
cost of producing the 501st item = $9.92
Step-by-step explanation:
The function representing the cost is given by;
C(x) = 10000 + 90x - 0.08x²
To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.
Thus;
C(500) = 10000 + 90(500) - 0.08(500)²
C(500) = 10000 + 45000 - 20000
C(500) = $35000
Similarly;
C(501) = 10000 + 90(501) - 0.08(501)²
C(501) = 10000 + 45090 - 20080.08
C(501) = $35009.92
cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92
Stephen goes to the fair and buys two funnel cakes and one drink. His total bill is $6.75. A few days later, he goes with a friend and buys three funnel cakes and two drinks. This time his total bill is $11.
Write two equations that could be used to determine how much each funnel cake and drink costs. Use f for the cost of a funnel cake and d for the cost of a drink.
What is the cost of a funnel cake?
What is the cost of a drink?
Answer:
Let's define the variables:
f = Cost per cake
d = Cost per drink.
"Stephen goes to the fair and buys two funnel cakes and one drink. His total bill is $6.75. "
2*f + 1*d = $6.75
"A few days later, he goes with a friend and buys three funnel cakes and two drinks. This time his total bill is $11."
3*f + 2*d = $11.
Then we have a system of equations:
2*f + 1*d = $6.75
3*f + 2*d = $11.
To solve this, the first step is to isolate one of the variables in one of the equations, let's isolate d in the first equation:
d = $6.75 - 2*f
Now we can replace this in the other equation:
3*f + 2*($6.75 - 2*f) = $11
3*f - 4*f + $13.50 = $11
-f = $11 - $13.50 = -$2.50
f = $2.50
Then the cost of a funnel cake is $2.50
And the cost of a drink can be obtained with the equation:
d = $6.75 - 2*f = $6.75 - 2*$2.50 = $1.75
The cost of a drink is $1.75
Which type of cloud is mostly made up of ice crystals? A. Altostratus B. Cirrus C. Cumulus D. Stratus
I know not math But please help
Answer:
The answer is B
Step-by-step explanation:
look it up on google.
Answer:
The answer is B
Mostly its of B but some clouds are also made up of cmulus(option C)
the square of a number equals five times that number find number.
A. 0 or 1
B. 0 or 3
C. 0 or 5
D. 0 or 7
Answer:
x²=5x
x=5... probably c
Help please I am begging
Answer:
The answer is A, 3.50w.
Step-by-step explanation:
When there is 1 pound, it is 3.50. 2 pounds it's 7.00 which is 3.50 times 2.
If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!
Which of the following describes the following graph?
A. Function only
B. Relation only
C. Neither funtion or relation
D. Both a function and a relation
The sum of two positive numbers is 37, and their difference is 7. If x and y represent the unknown numbers, which two
equations belong to the system of equations that represents this situation?
Answer:
C & D. check the image just in case the order changes
Step-by-step explanation:
A system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The sum of the two positive numbers is 37, and their difference is 7.
Let x and y be the numbers:
x > 0 and y > 0
x + y =37
x - y = 7
The above two equations represent the situation where the sum of two positive numbers is 37, and their difference is 7.
After solving the above equation by elimination method:
2x = 44
x = 22
22 - y = 7
y = 22 - 7
y = 15
Thus, a system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.
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What is the volume, measured in cubic centimeters, of the box below? Do not
include units in your answer.
4 cm
5 cm
1 cm
Answer:
20
Step-by-step explanation:
4 × 5 × 1 = 20 (cm³)
Hope it help, please give me Brainlest!
Answer:
20
Step-by-step explanation:
The formula for volume:
[tex]V=length*width*height\\\\V=lwh[/tex]
Multiply all given values together:
[tex]V=4*5*1\\\\V=20*1\\\\V=20[/tex]
The volume of the box is 20cm³.
:Done
Note:
"Cubic" centimeters means cm³. The exponent is used because you multiplied 3 dimensions.
Another example would be with area. To find this, you multiply length by width, resulting in area², because you mutliplied 2 dimensions.
y=_x+_ what would be the answer
Answer:
y = -1/4x + 2
Step-by-step explanation:
slope = rise over run
-1 rise for 4 run
y intercept = 2
y = -1/4x + 2
PLZ HELP!!! WILL GIVE U BRAINLIEST!!!
Answer:
Graph B is correct
(3,-1)
Step-by-step explanation:
Convert to slope-intercept form and find them on graph.
Answer:
Graph B and (3,-1)
Step-by-step explanation:
Step: Solve x−2y=5 for x:
x−2y=5
x−2y+2y=5+2y (Add 2y to both sides)
x=2y+5
Step: Substitute 2y+5 for x in 3x+15y=−6:
3x+15y=−6
3(2y+5)+15y=−6
21y+15=−6 (Simplify both sides of the equation)
21y+15+−15=−6+−15 (Add -15 to both sides)
21y=−21
(Divide both sides by 21)
y=−1
Step: Substitute−1for y in x=2y+5:
x=2y+5
x=(2)(−1)+5
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=−1 or (3,-1)
Find the exact volume of a waffle ice cream cone with 15-in. Diameter and a height of 23 inches
which of the following can be used to show that these triangles are congruent?
Answer:
ASA
Step-by-step explanation:
Angle B side BC and angle C
Triangle ABC and CDE are congruent by ASA congruence. Therefore, option E is the correct answer.
In the given figure, ΔABC and ΔCDE.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Here,
Consider ΔABC and ΔCDE, we get
∠B = ∠E (Given)
BC=CE (Given)
∠BCA = ∠ECD (Vertically opposite angles)
By ASA congruence, ΔABC≅ΔCDE
Triangle ABC and CDE are congruent by ASA congruence. Therefore, option E is the correct answer.
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A rectangle is 3/5 red. The rest is blue and yellow, but not in equal ratios. What could those ratios be? PLEASE HELP
Helpoooooooooooooooooooo
Answer:
1. x >/= -1
2. x < 4
3. x </= -1
4. x >/= -2
5. x < -3
6. x </= 7
Step-by-step explanation:
The sum of 2x50 and 3x50 is ____ x 50?
5
Simply add 3 and 2. You dont need to worry about the 50.
Or, complete 2x50 and 3x50
Now you would have 100 and 150.
Then add them to get 250.
Finally, divide 250 by 50.
Your answer should be 5
An N-scale model railroad caboose is 3 inches long. N scale is 169 feet to 1 foot.
Let c represent the length of a real caboose. Write a proportion, in terms of c, that can be used to solve for the length of a real caboose. (Hint: Compare feet to inches. How many inches are in one foot?)
How long (in feet) is a real caboose?
ft
9514 1404 393
Answer:
c/3 = 169/1242 1/4 feetStep-by-step explanation:
Since we want to know the actual number of feet, we can write the proportion with that in the numerator.
[tex]\dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}[/tex]
The real caboose is 42 1/4 feet long.