Step-by-step explanation:
A rectangular prism has a length, width, and height of 2/3 inch, 3/5 inch, and 4/7 inch, respectively.
The volume of the rectangular prism is
24/105
cubic inch.
write an equation of the line below?
Find the measure of two complementary angles if the measure of one is 15 degrees more than twice the measure of the other
Answer:
25 and 65
Step-by-step explanation:
Let one of the angles be x.
So, the other angle is 15 + 2x
complementary angles add up to 90 degrees.
so, we have
x + 2x + 15 = 90
3x + 15 = 90
Subtract 15 from both sides
3x = 75
solve for x
x = 25
so, the angles are 25 and 65
2 complementary angles sum up to 90°.
Take one angle as 'x'. Then, the other angle will be '15 + 2x'.
15 + 2x + x = 90°
15 + 3x = 90°
3x = 90 - 15
3x = 75
x = 75/3
x = 25°.
Measure of 1st angle (x°) = 25°
Measure of 2nd angle (15 + 2x°) = 15 + 2*25 = 65°.
=》 The 2 complementary angles are 25° & 65°.
________
RainbowSalt2222 ☔
Angle ABC and angle BD are complementary.
The measure of angle ABC equals (3x + 4) degrees, and
the measure of angle CBD equals (5x +6). Find the measures of both angles.
Answer:7x
11x
Step-by-step explanation:
Which equation has a solution of r = 1/3
Answer:
Step-by-step explanation:
Any equation, for example 2r =2/3
What will it cost to carpet a rectangular floor measuring 21 feet by 9 feet if the carpet costs $31. 29 per square yard?
Answer:
$657.09
Step-by-step explanation:
The area of the carpet is:
21 × 9 = 189 Square foot
189 foot² = 21 yard²
We know 1 yard² = $31.29
So 21 yard² = 21 × $31.29 = $657.09
Please please help please help me help help me please help me
Step-by-step explanation:
-2 is x1
9 is y1
4 is X2
-1 is y2
m= -1-9/4-(-2)
-10/6 =-1.6
URGENT!!! Will MARK BRAINLIEST!!!
Select the correct answer.
What is the next step in solving this augmented matrix using the Gauss-Jordan elimination method?
OA.
Convert the matrix to the linear system form.
OB.
Divide R2 by 2 and R3 by 3.
OC.
The matrix is solved.
D.
This is an inconsistent matrix that cannot be solved.
O E.
Divide R1 by 2 and R3 by 3.
Answer:
B is the correct answer. I just took the test :))
Step-by-step explanation:
Option B is correct, Divide R₂ by 2 and R₃ by 3 is the next step in solving this augmented matrix using the Gauss-Jordan elimination method.
In the Gauss-Jordan elimination method, the goal is to transform the augmented matrix into row-echelon form and then into reduced row-echelon form to solve the system of linear equations.
To achieve this, we perform row operations on the matrix.
In the given augmented matrix:
[tex]\left[\begin{array}{ccc}1&0&0\\0&2&0\\0&0&3\end{array}\right] .\left[\begin{array}{c}5&8&9\end{array}\right][/tex]
We can divide R₂ (Row 2) by 2 and R₃ (Row 3) by 3 to simplify the matrix further we do this to make the leading coefficient (the number at the leftmost position in each row) of each row equal to 1, which is a requirement for row-echelon form.
After dividing R₂ by 2 and R₃ by 3, the augmented matrix becomes:
[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] .\left[\begin{array}{c}5&4&3\end{array}\right][/tex]
To learn more on Matrices click:
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Sophie has $4.20 worth of dimes and quarters. She has twice as many quarters as dimes. Find the total number of each coin.
Answer:
Sophie Has 7 Dimes, And 14 Quarters
Step-by-step explanation:
Sophie Had 7 Dimes, 7 Dimes, 7 Dimes!
Sophie Had 14 Quarters, 14 Quarters, 14 Quarters!
Sophie is Bill Nye's Daughter.
Amy graphed a point to represent the absolute value of a number on a number line. If the original number is less than −10, describe all the possible values for the point Amy graphed on the number line.
Answer:
x>= 11 or x>10
Step-by-step explanation:
Absolute value can be used to represent the positive counterpart of a negative number. In this case, we are asked to find a number that is less than -10, meaning from -11 to negative infinity. Since we are asked to take absolute value, we would take |-11| which equals 11, and |-∞| = ∞.
So Amy graphed a value on the number line that is greater than or equal to 11, or any value greater than 10.
*Infinity is not a real number, it represents the largest number possible, which doesn't exist since numbers can continue on forever, so it can be disregarded.*
HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
Answer:
HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
2/3x−1/6y=1/2
2x – 4y = 3
Answer:
30
Step-by-step explanation:
3x+6y=9
multiply by 2
6x+12y=18 ....(1)
-2x+-4y=4
multiply by 3
-6x-12y=12 ...(2)
add (1) and (2)
0+0=30
what are five example recurring decimal
Answer:
These are some examples of recurring decimals.
Definiton:
A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero.
1. Using what you know about similar triangles, find an equation for the line in the diagram. Find m (slope) and b (y-intercept) in the equation of the line: y = mx + b. Label your answers in decimal form if needed. m = b = 2. What is the slope of this line? Slope = 3. Is the point (9, 11) also on the line? (Type "YES" or "NO") 4. Is the point (100, 193) also on the line? (Type "YES" or "NO") 5. Is the point (20, 33) also on the line? (Type "YES" or "NO")
Answer: WHERE IS THE DIAGRAM
What is the equation of the line that passes through the point (-3,4)(−3,4) and has a slope of 11?
Answer:
y=5x-11 is the equation of the required line
Find the rate if a principal of $1,800 earned $378 interest in 6 years
Answer:
Interest rate (r ) = 0.035 or 3.5%
Step-by-step explanation:
Given the principal amount of $1,800, and an interest payment of $378 earned in 6 years:
Use the simple interest formula and algebraically solve for variable, interest rate, r :
I = P × r × t
Where:
I = interest payment = $378
P = principal amount = $1,800
t = time (in years) = 6
r = interest rate
Divide both sides by P × t to isolate r :
[tex]\displaytext\sf{\frac{I}{P\:\times\:t}\:=\:\frac{P\:\times\:r\:\times\:t}{P\:\times\:t}}[/tex]
[tex]\displaytext\sf{interest\:rate\:(r)\:=\:\frac{I}{P\:\times\:t}}[/tex]
Substitute the given values into the formula for the interest rate:
[tex]\displaytext\sf{interest\:rate\:(r)\:=\:\frac{378}{1800\:\times\:6}\:=\:\frac{378}{10800}}[/tex]
Interest rate (r ) = 0.035 or 3.5%
Therefore, the interest rate is 3.5%.
420 is divided between george and Nancy in the ratio 2:3 Find who get more money.
Answer:
Nancy gets more, she gets 252 while George gets 168.
Step-by-step explanation:
420÷5=84
168:252
George:Nancy
If 4 kg of pork cost $1200, which would give the cost of 9kg of pork?
4 kg of pork = $1200
Then, 1 kg of pork = $1200/4 = $300
Now, cost of 9 kg of pork = $300 × 9
=》Cost of 9 kg of pork = $2700
_____
RainbowSalt2222 ☔
Cheryl is planning to spend $75 on a Christmas gift for her father. He needs new socks and ties. A store has socks s and ties t on sale for $4 and $11, respectively. Which equation models this situation?
Answer:
4s + 11t = 75
Step-by-step explanation:
Assuming you are asking for an equation to find how many socks and ties Cheryl could get with $75, then the equation 4s + 11t = 75 would represent that.
s is the number of socks that are bought (assuming s = 1 means that 1 pair of socks is bought).
t is the number of ties that are bought.
4s represents the total cost of the socks that are bought (if you plug in 4 for s, then the total cost of the socks is 4(4) = 16+
11t represents the total cost of the ties that are bought
Here is the histogram of a data distribution. All class widths are 1.
5
4
3
3
2
1
1 2 3 4 5 6 7 8 9 10
What is the median of the distribution?
A. 7
O B. 5
C. 4
O D. 6
Answer:
D. 6
Step-by-step explanation:
So median means very middle, so mark off one side, then the other, then back and forth until you have 1 left
5 X
4 X
3 X X
2 X X X X X
1 X X X X X X X X
1 2 3 4 5 6 7 8 9 10
The answer is 6 because it is in the very middle when finding the median
72 boxes sold out of 90 boxes what percent sold
Answer:
80%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
90 boxes = 100%
72 boxes = ?
=> (72 * 100)/ 90 = 80%
express 1 000 000 in standard form
Answer:
10^6.
Step-by-step explanation:
There are 6 digits after the 1 so it's 1 * 10^6 or just 10^6.
The United States Department of Agriculture reports that 14% of Americans are now on food stamps. If there are 340,000,000 Americans, how many are on food stamps?
Answer: 47600000
Step-by-step explanation:
340000000 * 0.14
= 47600000
PLEASE HELP
What is the value of the expression 12+23b when b=−5 ?
−176
−16
236
I don't know.
Answer: -103
Step-by-step explanation:
substitute in the value of B
12+23(-5)
multiply 23 and -5 together
12-115
solve
-103 is the answer
Answer:
-103
Step-by-step explanation:
In a movie's opening weekend, 879,575 tickets are sold in 755 theaters. The average cost of a ticket is $9.50. What is the average amount of money earned by each theater?
Answer:
$11 067.50 each theater
Step-by-step explanation:
879575 * 9.50 = 8355962.50 revenue total 8355962.50 / 755 = $11 067.50 each theater
Please help!!
1) Mark a central angle and calculate the measure of the central angle in the polygon below. *
Answer:
the measure of the central angle of a regular nonagon is 40 degrees.
are fractions 3/9,3/10,3/11,and 3/12 arranged in order from least to greatest or greatest to least
Answer:
They are arranged in order from greatest to least
Step-by-step explanation:
Since the numerator in these fraction are all the same, as smaller the denominator, as bigger the fraction. So these fractions are arranged in order from greatest to least.
Evaluate. 10/1·(−4) Enter your answer in the box.
I’ll give brainliest if its correct on the test! (And if i can figure out how)
Step-by-step explanation:
10/1(-4)
10(-4)
=-2.5 or 5/-2
PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!!
Answer:
In point form, the answer is (1, -7) and in equation form, x = 1, y = -7.
Step-by-step explanation:
I hope this helps!
Rafael is building a fence around his garden. For every 3 feet of fencing, the cost is $18.
Complete the table below showing the length of the fence and the cost.
Answer:
4 = 30
7 = 42
8 = 48
10 = 60
Step-by-step explanation:
The first thing you'll want to do is find the price for 1 foot of fencing.
18/3 = 6, which means that 1 foot of fencing costs $6. Then, either multiply or divide the number given by 6 to find the blank number. Hope this helps!
Answer:
30/18 = 1.666666667 x 3
1. 5/30
7/5 = 1.4 x 30 = 42
2. 7/42
48/42 = 1.4285714286 x 7 = 8
3. 8/48
10/8 = 1.25 x 48 = 60
4. 10/60
Step-by-step explanation:
you can use a equavilent fractions or ratios calculator to make sure this is 100% correct.
if a 1x1 foot tile costs 3.50 each ,how much will it cost mr teal?
Answer:
Hope this helps.
Step-by-step explanation:
When measuring for floor tile the rule is:
Length x Width + Waste = Amount Needed
Waste Factor will vary based upon tile size, layout, configuration of room, patterns, etc. Typical waste factor is about 10%. Add 15% for tile being installed diagonally or for a room with lots of jogs and corners. These installations will require more cuts and thus more waste.