The value of x is four....
................
A rectangular building has an area of 1,110 square meters and a perimeter of 134 meters. What are the dimensions of the building?
Answer:
The dimensions of the rectangular building are 30 meters by 37 meters.
Answer:
30 by 37 meters
Step-by-step explanation:
Refer to the attached image to understand where the following formulas came from.
[tex]\text{Area,} \ A=1110 \ m^2\\\\\text{Perimeter,} \ P=134 \ m[/tex]
We have a system of equations
[tex]\Longrightarrow \left \{ {{xy=1110} \atop {2x+2y=134}} \right.\\\\\text{Taking equation 2} \rightarrow 2x+2y=134\\\\\Longrightarrow 2x=134-2y\\\\\Longrightarrow x=67-y \\\\\text{Now taking equation 1} \rightarrow xy=1110\\\\ \Longrightarrow (67-y)y=1110\\\\ \Longrightarrow 67y-y^2=1110\\\\ \Longrightarrow y^2-67y+1110=0\\\\\Longrightarrow (y-37)(x-30)=0\\\\\Longrightarrow \boxed{y=37 \ m \ or \ 30 \ m }[/tex]
When y=37:
[tex]x(37)=1110\\\\\Longrightarrow \boxed{x=30}[/tex]
When y=30:
[tex]x(30)=1110\\\\\Longrightarrow \boxed{x=37}[/tex]
So, the dimensions of the building are 30 by 37 meters.
Steve just started a new job where he is paid weekly. Which of the following equations could be used to determine the amount of Steve's first paycheck if 18% is deducted for taxes? (Let x represent the amount he earns the first week and y represent the amount of his first paycheck after taxes.) A. y = 0.82x B. y = 1.18x C. y = x - 0.18 D. y = x + 0.18
Answer:A
Step-by-step explanation:100-18=82 in percentages convert that to fractions and you have 0.82 x whatever he earned at first (x) becauss we are dealing with percentages here
Solve for u. -9–4u=-u
Answer:
u = -3
Step-by-step explanation:
-9 - 4u = -u
+4 = +4
Add 4u to both sides.
-9 = 3u
Divide both sides by 3
-9/3 = 3/3
-3 = u
Answer: The variable u is equal to -3 for this equation.
Step-by-step explanation:
To solve this variable equation, you will need to follow these steps:
Rewrite the equation, moving 9 to the other side, adding it on both sides, and simplify
-4u = -u + 9
After that, move u to the other side of the equation, also adding it on both sides and simplify
-3u = 9
Then divide both sides by -3, simplify it one last time and you will get your answer!
-3
Therefore, the answer to this equation would be equal to negative three or -3. Hope this helps!
I BEEN STUCK ON THIS FOR THE LAST HOUR PLEASE HELPPPPPPP PLEASEEE
Answer: A)-4, D)2, and F)5
Step-by-step explanation:
If the inputs repeat themselves it no longer becomes a function :)
A theater company has raised $810.75 by selling 15 floor seat tickets. Each ticket costs the same.
Part A: Write an equation with a variable that can be solved to correctly find the price of each ticket. Explain how you created this equation. (5 points)
Part B: Solve your equation in Part A to find the price of each floor seat ticket. How do you know your solution is correct? (5 points)
Part A: 15x= $810.75. Part B: x= $54.05
The total money earned from 15 tickets is $810.75.
Assume, the money earned from selling 1 ticket is $x.
Therefore, the money earned from selling 15 tickets= 15*x= 15x= $810.75
Here, the variable, i.e. the changing value, is x which is the price of each ticket. The equation hence derived is 15x= $810.75.
Using the equation above,
15x= $810.75.
Dividing both sides by 15,
We get,
x= $54.05
Hence, $54.05 is the price of each ticket.
To learn more about linear equations with single variable:
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HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLP!
A colored spinner with 8 numbered sections is given.
Spinner divided evenly into eight sections with three colored blue, one red, two purple, and two yellow.
Determine the theoretical probability of the spinner not landing on red, P(not red).
A. 0.125
B. 0.250
C. 0.675
D. 0.875
Please help! -Screenshot-
Answer:
c
Step-by-step explanation:
so you add 12-12-43 and get 120 so ya
Answer: It's D!!
Step-by-step explanation: 1 is more than -2:)
the temperature at 2 pm is 27° at 2 am the temperature has fallen to -4° what is the total difference in temperature from 2:00 pm to 2:00 am???
Answer:
The temperature difference is equal to 27-(-4)=31.
Step-by-step explanation:
Answer:
31° .
Step-by-step explanation:
we need to calculate the temperature difference between 2 pm and 2 am we can get the difference by subtracting the temperature at 2 am from the temperature at 2 pm
the temperature at 2 pm is 27°
the temperature at 2 am is -4°
the temperature difference between 2 pm and 2 am is:
27° - (-4)° = 31°
Find the area of the figure below
Answer: x∛⇄t¬∝∠∧
Step-by-step explanation:
Answer:
Step-by-step explanation:
17 times 9= 153 and 15 times 3=45 so the awnset is 198
ASAP PLEASE
Which phrase describes 9y−8=31?
Responses
1: an equation with a constant term of 9
2: an expression with a constant term of 9
3: an equation with a variable that has a coefficient of 9
4: an expression with a variable that has a coefficient of 9
Answer:
3
Step-by-step explanation:
Answer:
Option 2 is correct
Multiply equation B by 3 and add the result to A
Solve for z.
6z–2=6+10z
Answer:
z = -2
Step-by-step explanation:
6z - 2 = 6 + 10z
-6z = -6z
Subtract 6z from both sides.
-2 = 6 + 4z
Subtract 6 from both sides.
-8/4 = 4z/4
Divide both sides by 4 to get z.
-2 = z
Anna Beth has two fish tanks. They are both cubes. The side length of one of the tanks is 15 cm. The side length of the other is 45 cm. What is the ratio of the volume of the smaller tank compared to the volume of the larger tank?(1 point)
The options are
45/15
1/27
1/3
27/1
Question 1)
Volume of Tank A = Sum of volume of its two parts.
So,
Volume of Tank A = 24 + 96 = 120 cubic feet
Question 2)
Volume of Tank B and Tank A is the same. So, Volume of Tank B = 120 cubic feet
One section of Tank B = 45 cubic feet
So, volume of other section of tank B = 120 - 45 = 75 cubic feet
hope this helps sorry
The ratio of the volume of the smaller tank compared to the volume of the larger tank is 1/27. Option B is correct.
Ratio of the volume of the smaller tank compared to the volume of the larger tank = Volume of smaller tank/Volume of larger tank.
Volume of cube = a³
a = length of side of cube.
Length of the side of the smaller tank = 15cm.
Length of the side of the larger tank = 45cm.
Volume of smaller tank = (15)³ = 3375 cm³
Volume of larger tank = (45)³ = 91125 cm³
Ratio of the volume of the smaller tank compared to the volume of the larger tank = 3375/91125 = 1/27.
Therefore the ratio of the volume of the smaller tank compared to the volume of the larger tank is 1/27.
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PART A AND PART B QUESTION (7TH GRADE MATH)
Answer:
D
D
Step-by-step explanation:
i might be wrong tho
Find the area of the shaded region.
Answer:
are means to multiply and perimeter means to add so you multiply the numbers outs the polygon
Step-by-step explanation:
help im timed is it a b c d
Answer:
Since ABC and DEF are congruent, they have the same measures so DE and AB are equal. This gives you the answer of A) 16 cm.
I hope this helps, have a great day! :)
please explain with the answer
Answer:
First box (Top left): y + x = 4
Second box (Top right): y = x + 4
Third box (Bottom): y = (1/4)x
Step-by-step explanation: For the first box on the top left, the line is shown going down which means as x increases, y decreases resulting in a negative slope. Since the equation of a line has the form y = mx + b where m represents the slope, m would be a negative number for a negative slope. By rearranging the equations above, we can write y + x = 4 as y = -x + 4 after subtracting both sides by -x to make it look like the form y = mx + b. Since this is the only equation with a negative slope and the y-intercept (where the line intercepts the y-axis) represented as b is 4 as shown in the graph and the equation, the equation for this line is y + x = 4.
For the second box on the top right, the line is shown going up which means as x increases, y increases resulting in a positive slope. Since the slope is now positive, the m, in the same form, y = mx + b, would be a positive number. The y-intercept or b is also still 4 as shown in the graph as the line intersects the y-axis so by looking at the options above, the equation for this line is y = x + 4.
For the third box on the bottom, the line is shown with a less steep slope going up meaning as x increases, y increases with a lower slope. Since the slope will still be positive but lower than the previous line with a y-intercept of 0 as shown in the graph, the equation for this line is y = (1/4)x.
Three softball players discussed their batting averages after a game.
Probability
Player 1 seven elevenths
Player 2 six ninths
Player 3 five sevenths
Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)
Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3)
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
To compare the probabilities of hitting the ball, we need to find the decimal equivalent of each fraction.
Player 1: 7/11 = 0.636
Player 2: 6/9 = 0.667
Player 3: 5/7 = 0.714
Comparing the probabilities, we can see that Player 3 has the highest probability of hitting the ball, followed by Player 2 and then Player 1. So the correct statement is:
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2), and Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1).
It's important to note that the probabilities don't guarantee that a player will hit the ball every time they're at bat. They simply indicate the likelihood of hitting the ball based on their past performance.
Please help i'm so confused
Answer:1/8
Step-by-step explanation:
Please help with this its a part A and part B question worth all my points
Function related btw
Answer:
Part A is c
Step-by-step explanation:
A function is a graph thag passes the vertical line test ,meaning it touches the vertical line only once so in order for that happen a point must have one x value (input) and one y value (output)
HELP PLS ASAP! An office manager needs to wrap a box with paper for shipping. A figure of the rectangular prism is shown.
How much paper does the manager need to wrap the entire box?
A. twenty-two and three-fourths in2
B. twenty-eight and seven-eighths in2
C. forty-nine and three-fourths in2
D. ninety-nine and one-half in2
Answer: 49.75 in^2 (letter C)
Step-by-step explanation:
2*3.5*2=14
2*3.25*2=13
2*3.5*3.25=22.75
14+13+22.75=49.75 sq. in.
Write each expression without the absolute value symbol.
Answer:
Step-by-step explanation:
The expression without the absolute value symbol is:
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
How to solveFrom the given parameters
We have,
|(x - 19) + 11|
This can be written as,
= |x - 19 + 11|
= |x - 8|
Now,
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
Thus,
The expression without the absolute value symbol is:
|x - 8| = x - 8, if x > 8
|x - 8| = 0, if x = 8
|x - 8| = 8 - x, if x < 8
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PEMDAS Quiz
Objective: Use the order of operations to solve two-step problems
Directions: Evaluate and solve each expression using PEMDAS.
1) 6 x 2 - 2=
2) 4 + 9 3=
3) (7 - 3) x 4=
4) 9 - 7 + 5=
5) 8 2 + 6=
6) (28 - 7) + 2=
7) (6 - 2) + 4=
8) (8 - 5)+ 9=
9) 16 2 + 4=
10) 2 x 5 5=
Solve the congruence 5x ≡ 6 (mod7).
______, m is any integer
Answer:
Step-by-step explanation:
To solve the congruence 5x ≡ 6 (mod 7), we need to find a value for x that satisfies the equation.
First, we'll find the multiplicative inverse of 5 modulo 7. The multiplicative inverse of a modulo m is a number x such that ax ≡ 1 (mod m). In this case, we need to find a number x such that 5x ≡ 1 (mod 7).
To find the multiplicative inverse, we can try different values of x and compute the result until we find one that satisfies the equation. Alternatively, we can use a more efficient method like the Extended Euclidean Algorithm.
Using the Extended Euclidean Algorithm, we find that the multiplicative inverse of 5 modulo 7 is 3, as 5 * 3 ≡ 1 (mod 7).
Now, we can multiply both sides of the congruence by the multiplicative inverse (3) to isolate x:
5x ≡ 6 (mod 7)
3 * 5x ≡ 3 * 6 (mod 7)
15x ≡ 18 (mod 7)
Reducing the coefficients:
1 * x ≡ 4 (mod 7)
Since x ≡ 4 (mod 7), the solution to the congruence 5x ≡ 6 (mod 7) is x ≡ 4 (mod 7). This means that x can be written as x = 4 + 7k, where k is any integer.
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I’m timed!!!!!!!!!!!!! Literally!!!!!!!!!!!!!! Please help!!!!!!!!!!!!!!!!! (The thing wont let me do it in caps, that’s why so many ‘!’ Are there.) 16 Points!!!!!!
Which graph shows the result of dilating this figure by a factor of One-third about the origin?
A. On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6).
B. On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2).
C. On a coordinate plane, triangle A prime B prime C prime has points (negative 3, 3), (3, 3), (3, negative 3).
D. On a coordinate plane, triangle A prime B prime C prime has points (Negative 18, 18), (18, 18), (18, negative 18).
E. On a coordinate plane, triangle A prime B prime C prime has points (negative 12, 12), (12, 12), (12, negative 12).
Answer is A!
Hope this helps :)
Cell phone company A charges $40 a month, with 500 free minutes and $0.10 a minute after that. Cell phone company B charges $25 a month and all minutes cost $0.05.
Find the horizontal distance between points Y(1,−3/4) and Z(−1,−3/4) .
Answer:
C.Subtract x- vlaues 8-3=5 units
Step-by-step explanation:
I don't know why kathy is like this
PART A AND PART B QUESTION PLEASE ANSWER GOOD WORTH LOTS OF BRAINLY POINTS (7TH GRADE MATH)
Answer:
c and a
Step-by-step explanation:
this is my 6th grade math reveiw
Answer:
answer is 189.43
Step-by-step explanation:
Answer: 180.6 cm2
Step-by-step explanation:
B = base = 7 cm
S = slant height = 9.4 cm
Formula: Surface area = b(*powered) + 2bs
Step by step:
7(7) + 2(7)(9.4) =
49 + 2(65.8) =
49 + 131.6 =
180.6 cm2
Rewrite the expression c + 0.25c as a single term with a fractional coefficient.
please help (No spam) (No stu-pid answers please)
Answer:
5c/4
Step-by-step explanation:
c = c × 1
0.25c = 0.25c × 1
c + 0.25c
Take " c " common.
= c × (1 + 0.25)
= c × 1.25
Convert 1.25 into a simpler fraction
1.25
= 125/100
= 5/4
c × 1.25
= c × 5/4
= (c × 5)/4
= 5c/4
The fractional coefficient is (5c/4)
What is a coefficient?A coefficient is a number or any symbol representing a constant value that is multiplied by the variable of a single term
Given:
[tex]\sf c+0.25c[/tex]
[tex]\sf =(1+0.25)c[/tex]
[tex]\sf =(1.25)(c)[/tex]
[tex]\sf =1.25c[/tex]
[tex]\sf =\dfrac{125}{100}[/tex]
[tex]\sf =\dfrac{5}{4}[/tex]
[tex]\sf =\dfrac{5c}{4}[/tex]
Hence the fractional coefficient is (5c/4)
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