Answer:
[tex] \boxed{\sf Area \ of \ the \ rectangle = (8x + 56) \ square \ feet} [/tex]
Given:
Length = 8 feet
Width = (7 + x) feet
To find;
Area of the rectangle
Step-by-step explanation:
[tex] \sf Area \: of \: the \: rectangle = Length \times Width \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8 \times (7 + x)\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (8 \times 7) + (8 \times x)\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 56 + 8x\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (8x + 56) \: square \: feet[/tex]
The sum of interior angles of a triangle are: 78°,39° and a°. Find the value of a° a. 117° b. 102° c. 93° d. 63° e. Other:
Answer:
d. 63
Step-by-step explanation:
sum of 3 interior angles= 180°
78°+39°+a=180°
a= 180°- 117°
a= 63°
Answer:
D. 63°
Step-by-step explanation:
The Triangle Sum Theorem says that all of the angles in a triangle add up to 180°.
78° + 39° = 117°. Think of it like algebra. 180° - 117° = 63°. I hope this helps :)
PLEASE ANSWER FAST A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the theoretical probability of the given event? P(even) a. One-third c. 1 b. One-half d. StartFraction 3 Over 7 EndFraction Please select the best answer from the choices provided A B C D
Answer:
a is my end result. hope that was right
The theoretical probability of rolling an even number is one-half.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
To find the theoretical probability of rolling an even number, we need to determine how many of the 6 possible outcomes are even.
In this case, we have 3 even outcomes: 2, 4, and 6.
Therefore, the probability of rolling an even number on a fair die is:
P(even) = number of even outcomes / total number of outcomes
P(even) = 3 / 6
P(even) = 1/2
Thus,
The theoretical probability of rolling an even number is one-half.
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Members of a rugby league are thinking about adding a new franchise in Silvergrove. They hired a polling firm to help gauge Silvergrove residents' interest in rugby. The firm contacted 475 randomly chosen Silvergrove residents and asked them whether they had ever attended a rugby match. Of 434 respondents had never attended a rugby match, estimate (including a margin of error) the proportion of the population of Silvergrove that never attended a rugby match.
The margin of error is 1/√n, where n is the number of people
Margin of error = 1/√475 = 0.0458
Multiply by 100 to get percent:
0.0458 x 100 = 4.58% round to 4.6%
The answer is c.
solve this equation please
5X2 - 15 = 5
Answer:
x = 2 or x = -2
Step-by-step explanation:
5x² - 15 = 5
⇌
5x² = 15 + 5
⇌
5x² = 20
⇌
x² = 20/5 = 4
⇌
x² = 2²
⇌
x² - 2² = 0
⇌
(x - 2)(x + 2) = 0
⇌ we use the zero product property
x - 2 = 0 or x + 2 = 0
⇌
x = 2 or x = -2
whoever gets done faster wins
Answer:
2%
Step-by-step explanation:
Solution
0.02*100%
=2%
hope it helps...
Good luck on your assignment
1. Kane earns an annual salary of $42,500.
He is paid twice a month with paychecks being
of equal amounts. If Medicare taxes
represent 1% of his income, then how much
will Kane bring home after Medicare taxes?
Answer:
$1753.13
Step-by-step explanation:
Kane's Annual Salary = $42,500
Gross Pay = $42,500
Net Pay = Gross Pay - 1% of Gross Pay
=42500 - (0.01 X 42500)
=$42,075
Since he is paid twice a month with paychecks being of equal amounts.
Number of Payments in a Year =12 X 2= 24
Therefore, Kane's Take Home pay after Medicare taxes
[tex]= \$42075 \div 24\\=\$1753.13$ (to the nearest cent)[/tex]
a clock face has a circumference of 39.88 cm. What is the diameter of the clock ?
Answer:
diameter ≈12.7
Step-by-step explanation:
d= C/π so plug in what we know
39.88 ÷ 3.14 ≈ 12.7
Given the equations below what is the value of ab?
10b-9a=6
b-a=1
Answer:
12
Step-by-step explanation:
Adding a to both sides of the second equation we get b = a+1
Substituting this in we get
10a + 10 - 9a=6
a +10 =6
a=-4
Putting this back in to the second one we get b+4=1
B=-3
-4*-3=12
The value of ab = 36.
We have the following equations -
10b - 9a = 6
b - a = 1
We have to determine the value of ab.
If [tex]a^{2} -b^{2} = \pi[/tex] and [tex]a + b = 4\pi[/tex] then the value of (a - b) will be ?We have - [tex]a^{2} -b^{2} = \pi[/tex]
(a + b) (a - b) = [tex]\pi[/tex]
a - b = [tex]$\frac{\pi }{4\pi }[/tex] = 1/4
According to question, we have -
10b - 9a = 6
b - a = 1
Now -
b - a = 1
a = b
Therefore -
10b - 9a = 6
10b - 9b = 6
b = 6 = a
ab = 6 x 6 = 36
Hence, the value of ab = 36.
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A jar contains 4 pink, seven red, and 3 orange marbles. If you pick one without looking, what is the probability that the marble you pick will be neither pink nor red?
show work pls tnx!
Answer:
3/14
Step-by-step explanation:
There’s 14 marbles total and only 3 are orange
I really need help with this problem can someone pls help me! I really need help plz help me solved this problem need help ASAP!
Answer:
64
Step-by-step explanation:
4^2-4*3*-4
=16-(-48)
=64
20 points for who ever get it right someone who knows what they doing please
Answer:
F is greater than 25
F is positive
Step-by-step explanation:
You know that F must be positive, since a number is subtracted from it and then another number is multiplied by that difference. Since a positive number multiplied by a negative number is negative, F must be positive.
You also know that F is greater than 25, because a number is subtracted from it and it is multiplied by a fraction between 0 and 1, meaning that that difference is further reduced.
Hope this helps!
Which graph represents the function g(x) = |x + 4| +2
Answer:
none of the two graphs in the pic.
it should be one in the II quadrant
Step-by-step explanation:
the plus four means to move 4 to the left
the plus 2 means to move up 2
That would make the vertex in the II quadrant.
Answer:
its A
Step-by-step explanation:
she can make 4 basketballs in 1/2 hours.how many in 5 hours?
Answer: 40
Step-by-step explanation:
Answer:
40 basketballs in 5 hours
Step-by-step explanation:
If in 1/2 hour she makes 4, multiply it by 2 to know how much she can make in a wholw hour. So she can make 8
Multiply how much she can make every hour by the amount of hours.
8 x 5 = 40
What is the quotient of x^2-9x+14/x-7?
A. x+2 B. x-7 C. x-2/x-7 D. x-2
Answer:
(x - 7)(x - 2)
----------------- = x - 2 for x ≠ 7
x - 7
Step-by-step explanation:
Please use parentheses to show clearly that you are dividing by (x - 7):
x^2 - 9x - 14
------------------- or (x^2 - 9x - 14) ÷ (x - 7)
x - 7
x^2 - 9x + 14 factors into (x - 7)(x + 2). After rewriting x^2 - 9x + 14 in factored form, the task of division becomes simpler:
(x - 7)(x - 2)
----------------- = x - 2 for x ≠ 7
x - 7
Hi can anyone please help me I really need help please help me
Answer:
3811.2 cubic cm
Step-by-step explanation:
Formula for sphere volume: 4/3πr^3 and since r=10, then plugging it in will be 1000*4/3π≈4188.79. The cube has side length 10*2=20 and has a volume of 20^3=8000. 8000-4188.79=3811.21≈3811.2
Which equation can be used to solve for in the following diagram?
3.
30°
Choose 1 answer:
3x = 30
© 3.r +30 +90 = 180
3x + 30 = 90
90 3.2 - 30
Answer:
[tex] \boxed{3x\degree = 30\degree} [/tex]
Explanation:
Vertically opposite angles are equal.
Find the diameter of a cone that has a volume of 56.52 cubic inches and a height of 6 inches. Use 3.14 for pi
Answer:
d=6
Step-by-step explanation:
Answer: diameter is 6
Step-by-step explanation:
NO ONE HELPED ME WITH MY LAST QUESTION PLS HELP WITH THISSSS, I DONT WANNA GET A BAD GRADE AND I HAVE 2 MINUTES LEFTT!!
Answer:
Step 2.
-11/12 > -1.5
1.6 > 5/4
1 < 5/4
Step-by-step explanation:
Eval should have swapped the numerator and denominator of 4/9 when she replaced division by multiplication.
if x^4x^2/3=X^a what is the value of a?
Answer:
x^(4+2/3)=x^a
a=4+2/3=(12/3)+(2/3)=14/3
Step-by-step explanation:
the original price of a computer is $935.00 if the price of the computer is increased by 7% what is the new price
Answer:
$1000.45 is the new price.
Step-by-step explanation:
The fastest way in which to answer this question is to multiply $935.00 by 1.07. That ".07" comes from "7%."
1.07($935.00) = $1000.45 is the new price.
If there is a triangle and the sides are 8&12 and 14 what is the missing angle
Answer:
8/12 = 14/x
Cross multiplication so
8x=14×12
8x=168
X=168/8
X=21
Y=10 when x=8 what is x when y=30
Answer:
X= 24
Step-by-step explanation:
Y was multiplied by 3 to equal 30, so same rules are applied and you multiply 8 by 3
Answer:
28 or 24 im not sure which
How many terms does the polynomial x² + xy y2 have?
1 term
2 terms
3 terms
4 terms
Answer:
Step-by-step explanation:
x^2 + xy + y^2 has 3 terms they are:
x^2, xy, and y^2
hope it helps
plz mark as brainliest!!!!!!!!!!
The polynomial x²+xy+y² has 3 terms. Option C is correct.
What exactly is a polynomial?A polynomial is an algebraic statement made up of variables and coefficients.
Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.
Given polynomial;
⇒x²+xy+y²
The three terms are as follows;
x²
xy
y²
The polynomial x²+xy+y² has 3 terms.
Hence, option C is correct.
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Solve for x.
8x - 4 = 2x - 3
8x-4=2x-3
One solution was found :
x = 1/6 = 0.167
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8*x-4-(2*x-3)=0
Step by step solution :
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : 6x-1 = 0
Add 1 to both sides of the equation :
6x = 1
Divide both sides of the equation by 6:
x = 1/6 = 0.167
One solution was found :
x = 1/6 = 0.167
i am not solving for x i am solving for you lol!!!
What is the HCF of 36 81?
Answer:
9
Step-by-step explanation:
Let us look at the factors of each of these
36:
1 and 36
2 and 18
3 and 12
4 and 9
81:
1 and 81
3 and 27
9 and 9
When we look at the factors, we can see that 9 is the Highest Common Factor shared between them.
Answer: hope that's right
HCF OF 36 81 = 9
Step-by-step explanation:
Steps to find HCF:
Find the prime factorization of 36 36 = 2 × 2 × 3 × 3
Find the prime factorization of 81 81 = 3 × 3 × 3 × 3
To find the HCF , multiply all the prime factors common to both numbers:
Therefore, HCF = 3 × 3
Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 71 B 72 C 73
Answer:
A and B
Step-by-step explanation:
Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 126/2 B 23 × 3 C 3 × 21
When simplifying an algebraic expression, the following steps are needed to be taken.
Firstly, remove parenthesis by multiplying the constant with the term in the parenthesis or remove parenthesis using exponent rules for parenthesis in exponent form.
Secondly Combine terms by adding coefficients of terms with the same order and lastly sum all constant.
A) 126/2
Applying the division rule give:
126/2 = 63
B) 23 × 3
Applying multiplication rule gives:
23 × 3 = 69
C) 3 × 21
Applying multiplication rule gives:
3 × 21 = 63
Both the results of expression A and expression B are simplified to the same result
Marlin made the wooden block below in his woodworking class. What is the surface area of his block?
Answer:
The answer is D
Step-by-step explanation:
I know this because all the area of each face is equal to 10+10+52+32+40 and that is equal to 144in. squared
Can anyone help 9th-grade geometry
Answer:
5 < x < 23
Step-by-step explanation:
let the third side be x , then
difference of 2 sides < x < sum of 2 sides
14 - 9 < x < 9 + 14 , that is
5 < x < 23
The equation shows the relationship between x and y:
y = −9x + 5
What is the slope of the equation?
−14
−9
−4
5
Answer:
-9
Step-by-step explanation:
for linear equations, the show off the line is the coefficient of x.
in this case, the slope would be -9
I WILL MARK YOU BRAINLIEST!!!!!
Answer:
D.
Step-by-step explanation:
as you ride your bike around the lake. you always go the same distance. the lake doesn't all of a sudden change size.
