Step-by-step explanation:
27 = x + 3x +5x
27 = 9x
3 = x
Board 1: (3)(1) = 3 inches
Board 2: (3)(3) = 9 inches
Board 3: (3)(5) = 15 inches
Length of the first piece is 3 inches
Length of the second piece is 9 inches
Length of the third piece is 15 inches
What are equations?An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.
How to find the lengths of all three pieces?According to the problem,
The length of the board is 27 inches.The board is to be cut into three pieces .The second piece is 3 times as long as the first pieceThe third piece is 5 times as long as the first piece.x represents the length of the first piece∴ Length of the second piece = 3x inches
∴ Length of the third piece = 5x inches.
Now, all these pieces will add up to 27 inches.
∴ x + 3x + 5x = 27
⇒ 9x = 27
⇒ x = 3
Length of the first piece = 3 inches
Length of the second piece = (3 x 3) inches = 9 inches
Length of the third piece = (5 x 3) inches = 15 inches
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Find the slope
x+3=0
Find the slope of the line that passes through (-4.5, 7/2 ) and (3, 3.5).
-1/6
0
undefined
-6
Answer:
The slope of the line is 0 (there is no change in the y-axis)
Step-by-step explanation:
Here, we want to find the slope of the line that passes through the given points
We use a formula for this;
Mathematically;
m = y2-y1/x2-x1
Substituting the values;
m= (3.5-7/2)/3.5+4.5 = 0/8 = 0
The slope of the line is 0
I need the answer to this equation 2x + 8 = 2x -3 as soon as possible doing a tesst
What is 6/12 in simplist form?
What is the area of a rectangle
with a length of 5 cm and a width of
4 cm
Answer:
Area = 20 cm²
Step-by-step explanation:
Area = width * length
area = 5cm * 4cm
area = 20 cm²
Answer:
20 cm
5x4 =20
length times width
the product of two numbers is 12
Imagine she found 100 worms of the same length as she found on Tuesday. What would the total length of the 100 worms be? (write the numerical answer only.)
Step-by-step explanation:
you didn't give us the full question. what were the lengths of the worms found on Tuesday?
Y=2x-1 Y=x+4 Simultaneous equation
Answer:
(5, 9)
Step-by-step explanation:
Solve by Graphical Method.
I graphed the lines on a graph. The lines intercept at the point (5, 9).
(5, 9) is the solution to the system of equations.
x = 5
y = 9
Hope this helps.
27. If x = -6, which inequality is true?
A. -5 - 3x > 10
B. -3 - 5x < -14
C. 1 - 2x > 13
D. 2 - X <-3
Answer:
A. -5 - 3x > 10
Step-by-step explanation:
x = -6
A. -5 - 3(-6) > 10
-5 + 18 = 13 > 10
true
B. -3 - 5(-6) < -14
-3 + 30 = 27 < -14
false
C. 1 - 2(-6) > 13
1 + 12 = 13 > 13
false
D. 2 - (-6) <-3
2 + 6 = 8 < -3
false
2p-3 = 3p+2.
answer please!!!!
Answer:
- 5
Step-by-step explanation:
Step 1:
2p - 3 = 3p + 2
Step 2:
2p = 3p + 2 + 3
Step 2:
2p = 3p + 5
Step 3:
- p = 5
Answer:
p = - 5
Hope This Helps :)
Answer:
-5
Step-by-step explanation:
2p - 3 = 3p + 2
combine the like terms
-3 -2 = 3p -2p
-5 = p
can someone plz help me with this
Answer: Commutative Property of Multiplication/Addition
Step-by-step explanation:
The commutative property is simple
x + y = y + x
or for multiplication
x * y = y * x
Find a and d for the function f(x) = a cos(x) + d such that the graph off matches the figure.
a = amplitude
d = shift
Just from looking at the graph, I can tell that d = -3.5
The amplitude = 1/2
We want to find the coefficients of a given function such that the graph of the function matches the given graph.
We will get:
a = -0.5
d = -3
------------------------
We start with the general function:
f(x) = a*cos(x) + d.
Let's analyze the graph
In the figure, we can see that the graph passes through the point (0, -3.5)
This means that our function evaluated in x = 0 is equal to -3.5, then we can write:
f(0) = a*cos(0) + d = -3.5
a + d = -3.5
We also can see that the distance between a peak and a through is 1 unit, and a, the amplitude, must be (in absolute value) half of that. Also note that when x = 0 we have a local minimum, while for the normal cosine we have a local maximum at x = 0, then a must be a negative number.
Then we have that:
a = - (1/2) = -0.5
Now that we know the value of a we can replace it in the other equation to get:
a + d = -3.5
-0.5 + d = -3.5
d = -3.5 + 0.5 = -3
Then the values of a and d are:
a = -0.5
d = -3
The function is:
f(x) = -0.5*cos(x) - 3
And the graph of this can be seen at the end of the answer, where it does not match exactly because the x-scale in the image is in units of pi, while in my graph is in integers.
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Order the numbers from least to greatest -1 4/5 , -7/4, 3/2, (-2.2)
Answer:
-2.2, -1 4/5, -7/4, 3/2
Step By Step:
I just converted all into decimals;
-1.8, -1.75, 1.5, -2.2
Then ordered them;
-2.2, -1.8, -1.75, 1.5
A group of adults were asked to name their favourite juice. The table gives information about their answers. Work out the angles that would be used to draw a pie chart.
FRUIT JUCE || ORANGE || APPLE || GRAPE || OTHER||
NUMBER || 40 || 27 || 15 || 8 ||
ANGLE || ? || ? || ? || ? ||
Answer:
ORANGE: 160
APPLE: 108°
GRAPE: 60
OTHER: 32
Step-by-step explanation:
THE SUM OF 40, 27, 15 AND 8 IS 90
90 GOES INTO 360 (THE ANGLES OF A CIRCLE) EXACTLY FOUR TIMES
TO GET EACH ANGLE OF THE PIE CHART YOU SIMPLY NEED TO TIMES EACH NUMBER BY FOUR!
Simplify each expression.
20-2.32
0 18
O 11
O 60
O 2.
Answer:
the answer for this question is 18
Can someone explain what the answer is to this and how? Thank u!!!
Describe a sequence of transformations that shows that Polygon A is congruent to Polygon B.
Answer:
The sequence of transformations that shows that Polygon A is congruent to Polygon B is given as follows;
1) A translation of 8 blocks to the right followed by 2) a translation of 2 blocks down and 3) a rotation of 90 degrees anticlockwise
Step-by-step explanation:
Given that the dimensions and shape of Polygon A and Polygon B are equal, the sequence of transformations that will show their congruency should include a number of rigid transformations, mainly translations and rotations.
Jaiden is ordering 2.615, 2.65, 2.7, and 2.623 from least to greatest. Here are his steps: (1) Compare and order 2.7 and 2.65 because they have the fewest digits. (2) Compare each digit of the numbers 2.615 and 2.623. * The units digits are equal. * The tenths digits are equal. * 1 < 2 in the hundredths place so 2.615 < 2.623. (3) Combine the two lists into one: 2.7, 2.65, 2.615, 2.623. Which statement describes Jaiden’s error?
Hurry pleaseeee
Answer: D
Jaiden should have added zeroes to the ends of the shorter decimals to get 2.615 etc
Step-by-step explanation:
The numbers that have the same unit value but different digits in the decimal place can be ordered using place value.
The statement that describes Jaden's error is; Jaiden should have added
zeros to each of the shorter decimals to get 2.615, 2.650, 2.700, and 2.623,
then he should have compared them using place values.
Reasons:
The steps are;
(1) Comparing the digits to select the ones with the least amount of digits
(2) Comparing the digits in the place values of the numbers that equal number of digits
(3) Combining the list of the above comparison into one
Required:
To select the statement that describes Jaiden's error.
Solution:
The place value indicates the multiple of 10 by which the digit is multiplied. The given numbers have the same values in the ones place value, the difference are in the numbers to the right of the decimal point.
The given numbers are;
2.615
2.65
2.7
2.623
The steps to order the numbers from least to greatest;
Add zeros to the shorter decimals such that each number have the same number of digits after the decimal point; 2.615, 2.650, 2.700 2.623Then
Select the number with the lowest ones; Which gives all the numbersThen
From the above list, select the number with the lowest tenth, and move them to the left of the list; Which gives the numbers, 2.615, 2.650, 2.623, 2.700Next
From the above list, select the number with the lowest hundredth, and move them to the left of the list, in increasing order of the hundredth; Which gives the numbers, 2.615, 2.623, 2.650, 2.700The numbers 2.615, 2.623,2.650, 2.700, are in the order from least to
greatest.
Therefore Jaiden's error is that Jaiden should have added zeros to each of
the shorter decimals to get 2.615, 2.650, 2.700, and 2.623, then he should
have compared them using place values.
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The possible question options are;
The numbers are listed from greatest to listThe two numbers with the most digits should have been compared firstZeros should have been added to the numbers to get, 2.615, 2.065, 2.007, and 2.623. Then the numbers should be compared using place valueHe should have added zeros to each of the shorter decimals to get 2.615, 2.650, 2.700, and 2.623, then he should have compared them using place values.
Find the distance FG between the points
F(0, – 7) and G (-6, -3). Round your answer to the
nearest tenth, if necessary.
FG
Answer:
7.2
Step-by-step explanation:
The distance of FG is 7.211
What is distance formula?Distance between two points (x1,y1) and (x2,y2) is given by:
PQ = √( x2 − x1 )² + ( y2 − y1 )². It is known as distance formula.
Given coordinates:
F(0, – 7) and G (-6, -3).
Using distance formula
= √(-6-0)² + (-3 +7)²
=√36+ 16
=√52
=7.211 units
Hence, the distance of FG is 7.211 units
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The area of max'ss room ,not incleding his closet is 235.675 square feet the area of his closet is 10.45 square feet what area of his room ,including the closet
Given :
Area of room excluding closet is , [tex]a=235.675\ ft^2[/tex] .
Area of closet is , [tex]b=10.45\ ft^2[/tex] .
To Find :
Area of max's room including the closet .
Solution :
Let , area of max's room including the closet is A .
So , Total area = Area of room excluding closet + Area of closet .
[tex]A=a+b\\\\A=(235.675+10.45)\ ft^2\\\\A=246.125\ ft^2[/tex]
Therefore , area of his room ,including the closet is 246.125 square feet .
Hence , this is the required solution .
A phone company charges a base fee of $12 per month plus an additional charge per minute. The monthly phone cost can be represented by this equation: = 12 + • , where is the additional charge per minute, and is the number of minutes used. Which equation can be used to find the number of minutes a customer used if we know and ? a. = C-12/a b. =(−12)− c. =−12 d. = −12
Answer:
-12
Step-by-step explanation:
i had got it right yay
Answer:
:)
Step-by-step explanation:
m=c-12/a
I had this on a test and I got it right
Lowest common multiple of 6 , 7 and 8
Answer:
The LCM is 168
Step-by-step explanation:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
Answer:
Lowest common multiple is 168
Determine whether each identity is true or false.
Answer:
TrueTrueFalseFalseTrueFalseStep-by-step explanation:
how do you say 19,034,600 in word form?
Answer:
nineteen million thirty four thousand six hundred
I think this is right
Step-by-step explanation:
Answer:
Nineteen million thirty four thousand six hundred
Step-by-step explanation:
The numbers 987654321 are written out in a row. Place between them exactly 2 minus signs so that the value of the expression obtained is the minimum.
Answer:
Step-by-step explanation:
45
Answer:
12
Step-by-step explanation:
It is assumed the order of the numbers doesn't change.
987 - 654 - 321 =333 - 321 =12The end points of cd are given.find the coordinates of the midpoint M. C(-4,7) and D(0,-3)
Answer:
M=(-2,2)
Step-by-step explanation:
Xm= -4 + 0/2 --> -4/2
Ym= 7 + -3/2 --> 4/2
Can someone explain/answer this? I think I know the answer but I want to be entirely sure
Answer:
8
Step-by-step explanation:
2×2⁻³×2⁵ =2¹×2⁻³×2⁵ =2¹⁻³⁺⁵ =2³=8Can someone solve this ASAP!!! pls thx
Answer: just add givento number 1 and your all done bro
Step-by-step explanation:
What number needs to be added to 5 and 3 so that the ratio of the first number to
the second becomes 3:2?
-13/20 - 7/5=? Its fractions.
Answer: 41/20
Step-by-step explanation:
there is a possibility that this is incorrect bb srry