Given:
Height of box = 5 inches
Breadth (width) of box = 4 inches
Length of box = 3 inches
Volume of box = 5 • (3 • 4) cubic inches
To find:
The explanation for the parentheses in the expression 5•(3•4)
Solution:
We know that,
Volume of a box is
[tex]Volume = length \times breadth \times height[/tex]
Area of a rectangle is
[tex]Area = length \times width[/tex]
Now,
Volume of box = 5 • (3 • 4) cubic inches
In this expression, (3 • 4) represents the product of length and with of the box. So, it means represents area of the base of box and after multiplying the base area with height we get the volume of the box.
Therefore, the parentheses in the expression 5•(3•4) represents the base area of the box.
Please solve for x and is it complementary or supplementary
3. Which ordered pair is a solution of the equation y = x – 2? (1 point) (3, 1) (1, 3) (–1, 3) (3, –1)
Explain how to simplify a ratio. Be sure to include an example to support your response
A ratio is an expression used to compare two quantities. A simplified ratio can be taken as is, but if a ratio has not yet been simplified, you should do so to make the quantities easier to compare and understand. In order to simplify a ratio, you divide both terms (both sides of the ratio) by the same number.
Solve for n. 8^ 12÷8^3=8^n
Answer:
9[tex]\frac{8^{12}}{8^3}=8^n\quad :\quad n=9[/tex]
Step-by-step explanation:
4+|7−m|=5
Solve for M
m = 16 or m = -2
m = 6 or m = -8
m = 6 or m = 8
m = 2 or m = 16
444444454444444444444545555
How many times does the quadratic function below intersect the x-axis?
y = x+3x+15
do you agree that the equation (x-4)²=9 can be solved both by factoring and extracting square roots?
Given parameters:
Equation:
(x-4)²=9
Problem, solve the equation by factoring and extracting the root
Solution:
Given equation:
(x-4)²=9
subtract 9 from both sides to equate to zero;
(x-4)² - 9 = 0
(x -4)² - 3² = 0
Now, this is similar to the concept of difference of two squares;
x² - y² = (x + y)(x-y)
Here x = x-4 and y = -3
So input and solve;
(x - 4 -3)(x - 4 -(-3)) = 0
(x - 7)(x - 4+3) = 0
(x -7)(x -1) = 0
S0,
x - 7 = 0 or x-1 = 0
x = 7 or 1
If we extract the square roots;
(x-4)² = 9
√(x-4)² = √9
x - 4 = 3
x = 4 + 3 = 7; this is not the only solution to the problem
So we cannot solve it by extracting the square root.
The solutions by checking are incorrect for the second solution, hence the expression cannot be solved by extracting the square root. The equation can only be solved by factoring
Given the expression;
(x-4)²=9
This expression can be solved by factoring
Factoring the expression on the left hand side
(x-4)(x-4)=9
x²-4x-4x+16 = 9
x² - 8x + 16 - 9 = 0
x² - 8x + 7 = 0
x² -x - 7x + 7 = 0
x(x-1) -7(x-1) = 0
x-7 = 0 and x - 1 = 0
x = 7 and 1
This shows that the expression can be solved by factoring
The other way is by squaring both sides
(√x-4)² = ±√9
x - 4 =±√9
x = -9+4 and x = 9 + 4
x = -5 and 13
Since the solutions by checking are incorrect for the second solution, hence the expression cannot be solved by extracting the square root
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The ratio of boys to girls in Hebron’s Chorus is 2:7. Part A: If there are 8 boys, how many girls are there in Hebron’s Chorus? Show your work.
Answer:
let the no. of girls be x
now
2/7=8/x
or,2×x=7×8
or,2x=56
or,x=56÷2
or,x=28
so the no. of girls is 28
Calculate perimeter.
Answer:
152
Step-by-step explanation:
5(x -4) + 3x - 9x +7
Answer:
-x - 13
Step-by-step explanation:
Answer:
-x - 13
Hope this helps! :)
2. Javier used a microscope to measure the diameter
of a grain of sand. He found that the diameter of the
grain of sand was 0.00007 centimeters. How is this
number written in scientific notation?
A. 7x 104
C. 7 x 10-6
B. 7 x 105
D. Not Here
Answer:
7 x 10^-5
Step-by-step explanation:
0.00001 is 1 x 10^-5 so multiply that by 7
Answer:
B. 7 x [tex]10^5[/tex] or not here
Step-by-step explanation:
if B. is [tex]10^5[/tex] then it is B. if it is 105 then it is not here
Hope this helped!!
Tell whether this figure creates the conditions to form a unique triangle, more than one triangle, or no triangle.
**Note: The arrows show that the lines will keep going until they meet.
GIVING BRAINLIEST
Answer:
They will make 1 triangle the lines will keep going until they meet
From the given triangle only one triangle can be made.
What is geometry?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
Given that the unformed triangle is given in the image.
The triangle can be made by extending the hypotenuse and the perpendicular line to intersect each other at the point. Only one triangle can be formed by doing so.
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explain how the percent equation relates proportional quantities
Use cross product to determine if the two ratios form a proportion. Here we can see that 2/16 and 5/40 are proportions since their cross products are equal. Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.
The proportion is a general case of percentage. (Refer to the examples explained below).
What is the percent equation?Proportion is a general case of percentage. It describes how much of the total a particular sample is. For example, if a pie contains eight slices and you have five, the proportion is 5/8. You have a total of five out of eight. A percent (the number of parts out of 100) is a special case of proportion where the denominator (“whole”) equals 100 parts. I suspect that percentages were created to allow a normalized comparison of proportions when the total number of parts was not the same. Imagine a small pizza with 6 slices and a large pizza with 8 slices. If Tom got 4 from the first and Ram got 5 from the second, it is not immediately clear who got more from the second. Converting 4/6 and 5/8 to percentages (66.7 and 62.5) allows you to see when the denominator equals who got relatively "more".Furthermore, I suspect that 100 was used because we live in a 10-base world (we have 10 fingers, which makes it natural).Therefore, the proportion is a general case of percentage.
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What is 4x-8=9y-5 in standard form
37,422 rounded to the nearest thousand
Answer:
37,000
Step-by-step explanation:
rounds to 37,000
Picture attached below. Please help.
There isnt a picturee but when you add another question I will hep you the best I can :)
Find the common ratio of the geometric sequence –13, 117, -1053, ...
Answer: -19
Step-by-step explanation:
Use the geometric ratio r=a2/a1
So 117/-13 = -9
-13*-9= 117
117*-9= -1053
3 movie tickets cost $36.At this rate what is the cost per ticket $
Answer:12
Step-by-step explanation:
Answer:
The cost per ticket is $12
Step-by-step explanation:
In order to find the answer, you would need to divide $36 by 3 to find how much it costs per ticket.
Hope this helps:)
simplify this expression; -15k-1+12+2k
Answer: -13k+11
Step-by-step explanation:
Combine like terms
-15k+2k=-13k
-1+12=11
WILL GIVE BRAINLIEST!!! Write the equation represented by the table.
Answer: y = 2x+12
Step-by-step explanation:
y = mx + b
the Ys are going down by 6 each time
the Xs are going adding up by 3 each time
radio: 6/3 = 2
that's our slope
--------------------------------
when x is 0 then the y will be our b
which is 12
all together
y = 2x+12
what is the inverse function of y=x^2+4
Answer:
does not exist
Step-by-step explanation:
The inverse relation is found by swapping x and y, then solving for y.
x = y^2 +4
x -4 = y^2
y = ±√(x -4)
This is the inverse relation. Since it is double-valued, it is not a function.
__
The function given does not pass the horizontal line test, so there is no inverse function.
What is the slope of pv? A:1 B:2 C:-2 D:-4
Answer:
D
Step-by-step explanation:
This is how I was taught to answer these questions
Get the coordinates of P and V. You should get 4=2m+b and 0=3m+b
Subtract these to get 4=-1m
Divide -1 from both sides to get -4
Let me know if you have any questions. I didn't go into to much detail because I wasn't sure if you just only wanted the answer.
Happy almost Halloween!
Which of the following is a rational number?
A
136
B.
-V12
lo
D
TT
hoy tama na yan meron pang bukas, tulog na
get a goodnight sleep okay? labyuuuu
Answer:
okay cge good night pa points lang thank you
Write an equation for the description.
Tanmayi wants to raise $150 for a school fundraiser. She has raised $100 so far. How much more (bes she
need to reach her goal? Let m be how much more is needed.
Answer:
answer
Step-by-step explanation:
step by step explanation
write an equation of the line that passes through the points (1,3) and (3,-5)
اور مدنی
Sin A /1-cosA= cot1/2
عورت سے
Which is bigger 0.78 or 0.708
Answer:
0.78
Step-by-step explanation:
Answer:
0.78
Step-by-step explanation:
because...
0.78 = 0.780
so,
0.780 > 0.708
have a nice day! <3
which angles are corresponding angles?
Answer:
<3 and <11
Step-by-step explanation:
Is the function even, odd, or neither?
Answer:
A function with a graph that is symmetric about the origin is called an odd function. Note: A function can be neither even nor odd if it does not exhibit either symmetry. For example, f(x)=2x f ( x ) = 2 x is neither even nor odd
Step-by-step explanation: