Answer:
120
Step-by-step explanation:
Bill went to visit his cousin Dana for six weeks.
How many days was he there?
Answer:
If you do 7 x 6 you get 42
Step-by-step explanation:
Bill was in his cousin's house for 42 days
What is week?A week is a time unit equal to seven days
Bill went to visit his cousin Dana for six weeks
1 week = 7 days
6 week =7×6=42 days
Hence, Bill was in his cousin's house for 42 days
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The foundation of the house is 13 m x 7 m if the builder increases each dimension by the same amount the area of the foundation will increase to 135 m² find the new dimensions
Answer:
New dimension:
Length = 15m
Width = 9m
Step-by-step explanation:
Length = 13m
Width = 7m
Area of a rectangle = length × width
New dimensions:
Length = (13 + x)m
Width = (7 + x)m
Where,
x = increase in each dimension
Area of a rectangle = length × width
(13 + x) × (7 + x) = 135
91 + 13x + 7x + x² = 135
91 + 20x + x² = 135
x² + 20x = 135 - 91
x² + 20x = 44
x² + 20x - 44 =0
Using factorization method to solve quadratic equation
x² - 2x + 22x - 44 = 0
x(x -2) + 22(x - 2) = 0
(x - 2) (x + 22) = 0
x = 2 , x = -22
The increase can not be a negative value
Therefore, the increase in the dimensions is 2 inches
New dimensions:
Length = (13 + x)m
= (13+2)m
= 15m
Width = (7 + x)m
= (7+2)m
= 9m
Quadrilateral JKLM is a kite as such KM is a perpendicular bisector of J L at point P given that KP =4" JL equals 12" and AML equals 20" was the length of the permenter of the quad JKlM?
Answer:
40 + 4√13
Step-by-step explanation:
A kite is a quadrilateral (has four sides) with two pairs of equal adjacent sides. The longer diagonal of a kite bisects the shorter diagonal.
Since in kite JKLM, diagonal KM bisects JL, hence KM is the longer diagonal.
JP = LP
JL = 12
JL = JP + LP
12 = JP + LP
2JP = 12 (LP = JP)
JP = 6
We can find JK using Pythagoras theorem, hence:
JK² = JP² + KP²
JK² = 4² + 6²
JK² = 16 + 36
JK² = 52
JK = √52 = 2√13
JK = KL = 2√13
ML = JM = 20
Perimeter of kite = JK + KL + ML + JM = 20 + 20 + 2√13 + 2√13
Perimeter of kite = 40 + 4√13
Business Loss A company loses $120 as a result of a shipping delay. The 8 owners of the
company must share the loss equally. Write an expression for the earnings per person. Evaluate
the expression.
What is the slope of the line represented by 9x - 14y = 28?
Answer:
The slope of the line is [tex]\displaystyle \frac{9}{14}[/tex].
Step-by-step explanation:
We are given the line in standard form:
[tex]9x - 14y = 28[/tex]
We need to get this into slope-intercept form in order to determine the slope of the line.
Slope-intercept form is [tex]y = mx + b[/tex], where m is our slope and b is the y-intercept.
Therefore, we need to get:
[tex]9x - 14y = 28[/tex]converted to:
[tex]y = mx +b[/tex].[tex]\displaystyle 9x - 14y = 28\\\\-14y = -9x + 28\\\\\frac{-14y}{-14}=\frac{-9x+28}{-14}\\\\y = \frac{9}{14}x-2[/tex]
Therefore, by solving the equation in slope-intercept form, we see that m equals 9/14, so our slope is [tex]\displaystyle \frac{9}{14}[/tex].
Solve forj.
-1/3=j/4-10/3
Answer:
j=12
Step-by-step explanation:
[tex]-\frac{1}{3}=\frac{j}{4}-\frac{10}{3}[/tex] is what we start with. first, do the inverse of -10/3. therefore, we add 10/3 to both sides.
[tex]\frac{9}{3}=\frac{j}{4}[/tex] is what we end up with. then simplify.
[tex]3=\frac{j}{4}[/tex] is what we have after simplifying. next we do the inverse of dividing by 4, so we multiply by 4.
[tex]12=j[/tex] is the final answer. or j=12. hope this helps!
HELP QUICK PLEASE. POSSIBLY GIVING BRAINLIEST TO CORRECT ANSWER.
Line p passes through (8, -6) and is perpendicular to the line 2x + y = -7.
The slope of line p is _____.
a. -2
b. -1/2
c. 1/2
d. 2
the answer is NOT d.
Answer: It is b
Step-by-step explanation: hope this helps :)
the tens digit of a two digit number is twice the units digit. the sum of the number and its unit digit is 66 find the number
Given that :
The tens digit of two digit number is twice the units digit.And there sum is 66.To find :
The number.Solution :
•Let us take the units digit be x
•Then the tens digit will be 2x [As it is given that the tens digit is two times the units digit]
A/Q
↪2x + x = 66
↪3x = 66
↪x = 66/3
↪x = 22
Therefore,the units digit is 22
And the tens digit is 2x = 2 × 22 = 44
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Marie can find the volume of a cube by using the formula V = s³, where s represents the side length of the cube. If Marie's cube has a side length of 2 1/2 centimeters, what is the volume of her cube?
Answer:
15.625 cm^3
Step-by-step explanation:
[tex]V=2.5^{3} \\V=2.5*2.5*2.5\\V=6.25*2.5\\V=15.625 cm^{3}[/tex]
I need the answers please
Answer:
-3,4,-4
Step-by-step explanation:
Answer:
(-3,7)
Step-by-step explanation:
convert each mixed number to an improper fraction
3 4/5
Answer:
19/5
Step-by-step explanation:
sorry for spamming but may i get help on this last one
Answer: x = -6
Step-by-step explanation:
Since 2 angles have to equal 180, you add both of the angles you see and figure out what that answer is
101+91=192
192 - x - x
192 - 6 - 6 = 180
Answer: x=-6
Step-by-step explanation:
They are supplementary angles so both measures = 180. So x+91+x+101=180. 2x+192=180. 2x=-12. X=-6
Help!! Please!! ASAP!!!
A model car is 12 inches
long. Using a scale of
3inches : 4 feet, how long
is the actual car?
A. 1 foot
B. 9 feet
C. 16 feet
Answer: C
Step-by-step explanation: If a car is 12 inches a room could possibly be 16 feet and a room and a car might or if not might have the same width
I hoped i helped :)
Answer: C) 16 feet
=======================================================
Work Shown:
3 inches on paper = 4 feet in real life
Multiply both sides by 4 so that the "3 inches on paper" turns into "12 inches on paper"
We get
4*(3 inches on paper) = 4*(4 feet in real life)
12 inches inches on paper = 16 feet in real life
This leads to the answer C) 16 feet.
--------------------------
Alternative Method:
(3 in on paper)/(4 ft in real life) = (12 in on paper)/(x ft in real life)
3/4 = 12/x
3*x = 4*12 ... cross multiply
3x = 48
x = 48/3 .... dividing both sides by 16
x = 16
The car's length is 16 feet in real life.
N(x) will give you an output for any number you use as an input except which of the following?
n(x) will give output for any number except 0.
define equationAn equation consists of two sides, the left-hand side and the right-hand side, which are separated by an equals sign (=). The left-hand side and the right-hand side each contain one or more variables, which are quantities that can vary or be assigned different values.
Given
n(x)=2/x
From the given option, 3 and5 will satisfy the equation.
n(x)=2/3 for the value of x=3
n(x)=2/5 for the value of x=5
For the value of x=0
O will not satisfy.
n(x)=2/0=not defined
Hence, n(x) will give output for any number except 0.
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PROBLEM 1
Find the area of a circle with a radius of 7.
Either enter an exact answer in terms of m or use 3.14 for m and enter your answer
as a decimal.
units?
Which property is illustrated by the statement 8 + 2 = 2 + 8
Answer:
8 + 2 = 10 2 + 8 = 10 10 + 10 = 20
Step-by-step explanation:
Answer:
The commutative property
Step-by-step explanation:
The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer
x + y = 8
x - y = 2
If (x, y) is the solution to the given system of equations, what is the value of y?
A.)10
B.)6
C.)5
D.)3
Help!!!!!!!!!! Thanks
Answer:
[tex]m=-1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-4, 0)
Point (-3, -1)
Step 2: Find slope m
Substitute: [tex]m=\frac{-1-0}{-3+4}[/tex]Subtract/Add: [tex]m=\frac{-1}{1}[/tex]Divide: [tex]m=-1[/tex]PLZ HELP IN QUIZ NOW
3. Solve this equation with a variable term on both sides: 4y + 10 = 3y – 8 What is the solution?
Answer:
4y+10=-5
4y=-5-10
4y=-15
y=-15/4
y=3.25
I need help with this ASAP!
Answer:
0,10
9,7
10,6
3,10
7,8
1,4
10,8
0,3
0,5
7,6
Step-by-step explanation:
Plz help getting timed
Answer:
8
Step-by-step explanation:
help i need help with ii and iii :(
9514 1404 393
Answer:
i) exponential; values have a common ratio; f(x) = -2·4^x
ii) linear; values have a common difference; f(x) = 4x -3
iii) exponential; values have a common ratio; f(x) = 4·2^x
Step-by-step explanation:
Sequential, or evenly-spaced, input values will result in output values with a common difference if the function is linear. They will result in output values with a common ratio of the function is exponential.
The initial value, or y-intercept, is the value when x=0. The general form of the formulas is ...
linear: f(x) = (common difference)·x + (initial value)
exponential: f(x) = (initial value)·(common ratio)^x
__
i) The f(x) values have a common ratio of -8/-2 = 4, so the relation is exponential. The initial value is f(0) = -2. The equation is ...
f(x) = -2·4^x
__
ii) The f(x) values have a common difference of 1 -(-3) = 4, so the relation is linear. The initial value is f(0) = -3. The equation is ...
f(x) = 4x -3
__
iii) The f(x) values have a common ratio of 8/4 = 2, so the relation is exponential. The initial value is f(0) = 4. The equation is ...
f(x) = 4·2^x
What’s the solution of x+y=29 and y=4x-11
Answer:
x = 8
y = 21
Step-by-step explanation:
y = 4x − 11
x + y = 29
Solve for x:
x + y = 29
x + 4x − 11 = 29
5x − 11 = 29
5x = 40
x = 8
Solve for y:
y = 4x − 11
y = 4 × 8 − 11
y = 21
If Robin typed 15 characters in 5 seconds, 30 characters in 10 seconds, and
45 characters in 15 seconds, how many characters do you think she would
type in 20 seconds?
A. 50
B. 35
C. 90
D. 60
Answer:
robin would type D 60 characters in 20 seconds
Plz help i really need the answer for this question: If I bought a pair of shoes that were on sale for $49.95 from $79.95, what was my coupon percentage? What would the total price be with tax of 8.75%?
which expressions are equivualent
Answer:
A (1\(3^4))
Step-by-step explanation:
3^-8\3^-4 = 3^4\3^8 =1\3^4
Need help on this question if right they will get brainiest
Answer:
well if the area dimensions are correct it will be 7040 sq ft according to what is above the question, but what i see it doesn't give you anything to go off of
Step-by-step explanation:
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Basketball court area in meters scale :
[tex]15 \times 28 = 420 \: \: {m}^{2} [/tex]
_________________________________
Basketball court area in foot scale :
[tex]50 \times 94 = 4700 \: \: {ft}^{2} [/tex]
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Which lines are perpendicular?
A) A and B
B) A and C
C) B and C
D) A and D
Answer:
B) A and C
Step-by-step explanation:
A and C are negative reciprocals of each other.
Eloise bought 3 boxes of crackers to share with her friends over the weekend. They ate 1/2 box of crackers on Saturday and 2/3 box of crackers on Sunday.
How many boxes of crackers were left over?
1 3/5 boxes
1 5/6 boxes
2 3/5 boxes
2 5/6 boxes
Answer:
C.) 1 5/b boxes
Number of boxes left over
= 3 - 1/2 - 2/3
Convert each fraction to one in terms of the LCM:
= 18/6 - 3/6 - 4/6
= 11/6
= 1 5/6 boxes.
The solution is Option B.
The number of boxes of crackers left with Eloise is 1 5/6 boxes of crackers
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of boxes of crackers left with Eloise be = A
Now , the total number of boxes of crackers be = 3 boxes
The number of boxes of crackers ate on Saturday = 1/2
The number of boxes of crackers ate on Sunday = 2/3
So , the equation will be
Number of boxes of crackers left with Eloise A = total number of boxes of crackers - number of boxes of crackers ate on Saturday - number of boxes of crackers ate on Sunday
Substituting the values in the equation , we get
Number of boxes of crackers left with Eloise A = 3 - 1/2 - 1/3
On simplifying the equation , we get
Number of boxes of crackers left with Eloise A = 5/2 - 2/3
Number of boxes of crackers left with Eloise A = ( 15 - 4 ) / 6
Number of boxes of crackers left with Eloise A = 11/6
Number of boxes of crackers left with Eloise A = 1 5/6 boxes
Therefore , the value of A is 1 5/6 boxes
Hence , the number of boxes left is 1 5/6 boxes of crackers
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PLZ PLZ HELP 25 POINTS AM DESPERATE WILL GIVE BRAINLY
WHAT IS 2 + 2???