They sent 36 coupons to the existing members
Find the value of the unknown angle x.
The diagram is not drawn to scale.
Please answer. Thank you!
Answer:
x = 40°Step-by-step explanation:
This is a quadrilateral. A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.
The interior angles of a simple quadrilateral ABCD add up to 360 degrees of arc.
Answer:
Angle x = 40°
Step-by-step explanation:
All angles of any quadrilateral sum up to 360°.
So here, already measure of 3 angles are given.
So if we add up all angles + Angle x then it sums up to 360°.
So, the following steps will lead you to the answer:
73° + 157° + 90° + Angle x = 360°
(Now add up the measure of the three given angles)
320° + Angle x = 360°
(Now, through transposition moves 320° to the RHS) (Remember when transposing the signs change)
Angle x = 360° - 320°
Finally,
Angle x = 40°
Hope it helps!!!
please help!! it is due today and i will give 50 points
Answer:
E) 36 ft²
Step-by-step explanation:
Formulae
Area of a triangle = 1/2 x base x heightArea of a rectangle = width x lengthThe shape is made up of 2 congruent triangles and 3 different rectangles.
Area of triangle = 1/2 x 3 x 4 = 6 ft²
Area of rectangle 1 = 2 x 4 = 8 ft²
Area of rectangle 2 = 2 x 3 = 6 ft²
To calculate the area of the 3rd triangle, we need to use Pythagoras' Theorem to determine the length of the hypotenuse of the right triangle.
a² + b² = c²
⇒ 3² + 4² = c²
⇒ 25 = c²
⇒ c = √(25)
⇒ c = 5 ft
Therefore, area of rectangle 3 = 2 x 5 = 10 ft²
Total Surface Area
Total SA = 2 triangles + rectangle 1 + rectangle 2 + rectangle 3
= (2 x 6) + 8 + 6 + 10
= 36 ft²
You worked
44 hours. 40
regular hours a
$8.50 and 4
overtime hours. What would be your gross pay?
Answer:
$391.00
Step-by-step explanation:
Typically, regular work hours are paid at the rate given ($8.50), and overtime is "time and a half", or 1.5 times the regular pay.
We will get paid 40 hours at $8.50, and 4 four hours at 1.5x$8.50:
[tex]40(8.5)+4(1.5)(8.5)\\340+51\\391[/tex]
You will get paid $391.00 in gross pay, before taxes :)
A sample of 100 students was randomly selected from a middle school in a large city. These participants were asked to select their favorite type of pizza: pepperoni, cheese, veggie, or Hawaiian. pizza preference and gender were recorded for each participant. The results of the survey are summarized in the table
The variables of the hypothesis test include the favorite type of pizza and the gender
The null hypothesis is Favorite pizza and gender are independent
How to determine the null hypothesis?
From the complete question, the variables that are measured are:
Favorite type of pizzaGenderThe null hypothesis of a test used the equality statement.
So, the null hypothesis would be
Favorite pizza and gender are independent
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Solve the system of equations by substitution. X + y = 32 y = 7x The solution of the system is (Simplify your answer. Type an ordered pair.)
if you can can you please write out the steps
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
The given equations are :
[tex]\qquad \sf \dashrightarrow \:x + y = 32[/tex]
and
[tex]\qquad \sf \dashrightarrow \:y = 7x[/tex]
Now, plug in the value of y from equation 2 into equation 1 to find out the value of x ~
[tex]\qquad \sf \dashrightarrow \:x + y = 32[/tex]
[tex]\qquad \sf \dashrightarrow \:x + 7x = 32[/tex]
[tex]\qquad \sf \dashrightarrow \:8x = 32[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 32 \div 8[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 4[/tex]
Now, plug the value of x in equation 2 to find y
[tex]\qquad \sf \dashrightarrow \:y = 7x[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 7 \times 4[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 28[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
c) d) When 3 is subtracted from the number, the remainder is 5.
Answer:
so the equation would look like this, x - 3 = 5
the number or x = 8
Step-by-step explanation:
8 - 3 = 5
Hope this helps! :)
Please help, I and I also need a thorough explanation, I don't understand this
Answer:
See below ↓
Step-by-step explanation:
Solve for x.
2.1.1
px + qx = ax (p + q) = ax = a / (p + q)2.1.2
2x² - 5x + 2 = 02x² - 4x - x + 2 = 02x(x - 2) - 1(x - 2) = 0(2x - 1)(x - 2) = 0x = 1/2, 22.1.3
[tex](\frac{1}{2} )^{3x+1}[/tex] = 32[tex]2x^{-3x-1} = 2^{5}[/tex]-3x - 1 = 5-3x = 6x = -2I can only answer 3 questions together at maximum so kindly post the rest of your questions 3 at a time separately.
Hope this helped~
Answer:
x = a/(p+q)
x = 2 or x = 1/2
x = -2
m≤ -1 or m<4
-1 , 0 , 1 , 2 and 3.....................since : -1 ≥ m < 4.
x = -3 and y = 9.
Step-by-step explanation:
The first one is just making x to be the subject of the formula by factorising p and q. Then dividing both sides by (p + q).
px + qx = a........................... x (p + q) = a............divide sides by ( p+q) to get the expression.
Solve quadratically for the second one.
For the third one, apply the laws of indices to work out.
32 = ( 1/2)^-5..............so, ( 1/2)^3x + 1 = ( 1/2)^-5.......Drop the base numbers since they are common.
3x + 1 = -5.........then solve to get x as -2.
For the fourth one, we solve for m by separating it into 2.
the first one is: -11 ≤ 3m - 8.
the second one: 3m - 8 < 4
then solve like a normal equation but maintain the inequality signs.
For the integral values, you'll get them from the answers because the answers are a range
The last one you solve simultaneously either by substitution or elimination method.
HOPE THIS HELPS
how many solutions are there to the system of equations graphed below if the lines are parallel
Answer:
your answer would be zero
Step-by-step explanation:
Parllel lines never crosses or intercept, which means they have 0 solutions
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS! A local grocery store released the following statistics on the average volume of products sold per month in its two branches over the past six months.
Answer:
a. House hold laundry
b. Beverages
c. Snacks
Step-by-step explanation:
Do mark brainliest.
#a
For branch A
Household laundryFor branch B
Snacks#b
For branch A
snacksFor branch B
Canned goods#c
Branch A
20+25+15+28+20108Branch B
20+18+30+23+20111Branch B performed better
please help i am confused.
Answer:
87.5 percent
Step-by-step explanation:
80 passed the first, 70 passed the second. 7/8 passed both. 7/8 as a percentage is 87.5.
Answer:
C. 87.5%
Step-by-step explanation:
[tex]P(A|B)[/tex]
this is what you are trying to find.
P(A | B) can be found by dividing the percentage who passed both, by the percentage who passed the first.
70/80 = 0.875
multiply by 100 to get percentage instead of decimal
87.5
Using technology, determine the semi-annual payment on a 3 year loan of $8,561 at 9. 1% compounded semi-annually. Round your answer to the nearest cent. A. $1,662. 47 c. $1,925. 92 b. $1,914. 11 d. $1,991. 12.
The semi-annual payment is $1662.47
What will be the semi annual payment?Given : A 3 year loan of $8,561 at 9.1% compounded semi-annually.
We have to determine the semi annual payment.
We know,
[tex]P=\dfrac{PV.r}{1-(1+r)^{-n}}[/tex]
Where PV is present value of loan.
r is rate of interest
n is time period.
Given loan is calculated semi annually,
So PV = $ 8561
r=9.1 % =9.1/200
and time period is 3 years = 6 number of period as semi annually.
Thus, Substitute,
We get,
[tex]P=\dfrac{8561(\dfrac{9.1}{200})}{1-(1+\dfrac{9.1}{200})^{-6}}[/tex]
[tex]P=1662.47[/tex]
Hence the semi-annual payment is $1662.47
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Hello people ~
what's the product of the square root of 3 and the square root of 12
Answer:
6
Step-by-step explanation:
sqrt(3) x sqrt(12) = sqrt(3) x sqrt(4x3) = sqrt(3) x 2sqrt(3)
= 2 ( sqrt(3)² ) = 2 x 3 = 6
Let's see
[tex]\\ \rm\rightarrowtail \sqrt{3}\times \sqrt{12}[/tex]
[tex]\\ \rm\rightarrowtail \sqrt{3}\times \sqrt{2(2)(3)}[/tex]
[tex]\\ \rm\rightarrowtail \sqrt{3}\times 2\sqrt{3}[/tex]
[tex]\\ \rm\rightarrowtail 2(3)[/tex]
[tex]\\ \rm\rightarrowtail 6[/tex]
A rental car company charges $36.39 per day to rent a car and $0.09 for every mile
driven. Miguel wants to rent a car, knowing that:
He plans to drive 225 miles.
• He has at most $480 to spend.
Which inequality can be used to determine x, the maximum number of days Miguel
can afford to rent for while staying within his budget?
Answer:
12 days
Explanation:
480 >/= 36.39x + 20.25
The inequality to determine x, the maximum number of days Miguel
can afford to rent while staying within his budget is
202.5 + 36.39x ≤ 480
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Charges per day = $36.39
Charges per mile = $0.90
Total miles = 225
Total charges for 225 miles.
= 225 x 0.90
= $202.5
The maximum amount to spend = $480
The inequality for the maximum number of x days.
202.5 + 36.39x ≤ 480
Thus,
The inequality to determine x, the maximum number of days is
202.5 + 36.39x ≤ 480
Learn more about inequalities here:
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this polygon has an area of 72 square centimeters what is the height of the parallelogram
On Saturday, the temperature was
75.5°F. The temperature rose by
6°F on Sunday, then dropped by
3.5°F on Monday. Write an expression
to represent how the temperature
changed. What was the temperature
on Monday?
Answer:
78°F
Step-by-step explanation:
75.5°F on Saturday...
75.5 + 6 = 81.5 on Sunday
81.5 - 3.5 = 78°F on Monday
The expression that represents the temperature change is
N = L + 6°F + 3.5°F
The temperature on Monday is 85°F.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Temperature:
Saturday = L= 75.5°F ______(1)
Sunday = M = Rose by 6°F
M = L + 6 _____(2)
Monday = N = Dropped by 3.5°F
N = L + 6 - 3.5 _____(3)
The expression that represents the temperature change:
From (1), (2), and (3) we get
N = L + 6°F + 3.5°F
The temperature on Monday:
N = 75.5 + 6 + 3.5
N = 85°F
Thus,
The expression that represents the temperature change is
N = L + 6°F + 3.5°F
The temperature on Monday is 85°F.
Learn more about expressions here:
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solve for x.
x/2 + 6 = 24
Answer:
[tex]\displaystyle 36 = x[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{2} + 6 = 24 \hookrightarrow 18[2] = \frac{x}{2}[2] \\ \\ \boxed{36 = x}[/tex]
I am joyous to assist you at any time.
Hey there!
x/2 + 6 = 24
1/2x + 6 = 24
SUBTRACT 6 to BOTH SIDES
1/2x + 6 - 6 = 24 - 6
CANCEL out/ 6 - 6 because it give you 0
KEEP: 24 - 6 because it help solve for the x-value
NEW EQUATION: 1/2x = 24 - 6
SIMPLIFY IT!
1/2x = 18
MULTPLY 2 to BOTH SIDES
1/2x * 2 = 18 * 2
CANCEL out: 1/2 * 2 because it give you 1
KEEP: 18 * 2 because it help solve for the x-value (it actually give you the x-value)
NEW EQUATION: x = 18 * 2 or x = 2 * 18
SIMPLIFY IT!
x = 36
Therefore, your answer is: x = 36
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Mary has $311.75 to convert into yen. the currency exchange she is using charges a surcharge of 6% when converting currency. about how many more yen will mary receive if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate? a. ¥1,125 b. ¥1,513 c. ¥1,609 d. ¥1,706
Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than that of the least favorable exchange rate.
What is the exchange rate?It is the factor by which currency conversion of two countries is done.
The most Favorable day is Friday because the exchange rate on Friday is the highest.
So, Mary will receive on Friday= 311.75 x 92.7120 x 94/100
Mary will receive on Friday(a)=27168.788 Yen
The least Favorable day is Wednesday because the exchange rate on Wednesday is the least.
So, Mary will receive on Wednesday= 311.75 x 87.5507 x 94/100
So, Mary will receive on Wednesday(b)= 25,656.2949 Yen
Difference between (a) and (b) = 1512.4931 Yen
Hence, Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate.
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Graph a rectangle with an area of 12 square units. State the lengths of each of the sides. Write your answer LxW (length of one side X length of the other side) please help
A rectangle with area of 12 square units would have sides of length 4 units and 3 units. Area would therefore be 4 x 5.
What are the side lengths of this rectangle?A rectangle must be such that one side is longer than the other side.
The area of a rectangle is found as:
= Length x Width
As the area is 12, the length and width have to be numbers that when multiplied, will give you 12.
The factors of 12 which allow this to happen are:
= 1, 2, 3, 4, 6, 12
From here you can use 3 and 4.
Find out more on the area of a rectangle at https://brainly.com/question/2607596.
If RV=w and SU=w–30, what is the value of w?
Answer:
w = 60
Step-by-step explanation:
the midsegment SU is half the measure of side RV , then
SU = [tex]\frac{1}{2}[/tex] RV , so
w - 30 = [tex]\frac{1}{2}[/tex] w ( multiply through by 2 to clear the fraction )
2w - 60 = w ( subtract w from both sides )
w - 60 = 0 ( add 60 to both sides )
w = 60
The large rectangle below represents one whole.
What percent is represented by the shaded area?
%
Answer:
40%
Step-by-step explanation:
2/5 is shaded
100 divided by 5 is 20
2x20=40
Select the expression that represents the following problem: A glass hols 1/4 liter of liquid. How many glasses of liquid are in 5 liters
1 glass..........1/4 liter
n glass.......... 5 liters
n = 1 x 5 : 1/4
n = 5 x 4
so there are 20 glasses
answer question pls I will give brainliest
Answer:
6 x 4 x 4
Step-by-step explanation:
HELP!!!!!HELPPPPPPPPP!
Answer: answer C.
Step-by-step explanation: you have to add and divide
What is the median: _____
enter the whole number and only 1 decimal value in this answer
Answer:
55.5
Step-by-step explanation:
First, we arrange the numbers from smallest to largest and find the one in the middle. Because there are two in the middle we will add them and multiply them by two, giving us our answer. 46+65=111 111 divided by 2=55.5.
Please help 10 POINTS!!!
Step-by-step explanation:
[tex]y = 5x \\ y = 9x + 4 \\substitute \:y = 5x \: to \: the \: other \: equation \\ y = 9x + 4 \\5x = 9x + 4 \\ 5x - 9x = 4 \\ - 4x = 4 \\ x = \frac{4}{ - 4} \\ x = - 1[/tex]
The coach of Darnel's baseball team recorded how many runs the team scored in each game last season. This box plot shows the results. please
The fraction of the game that Daniel's team scores 2 or more runs is 1/4 of the game.
What are box plots?A box plot is used to study the distribution and level of a set of scores. Scores are distributed into 4 groups. Each group has a value of 25%
The first quartile, is the first line on the box. The first quartile represents 1/4 of the score.
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Solve for X. Leave your answer in the simplest radical form.
Image down below!
Someone please help me with this, I’ll give you brainlist and points!
Answer:
√20 which can be written as 2√5
Evaluate the quotient of 1.05 x 103and 1 x 103:
1.05 x 10 -6
1.05 x 10 9
1.05 x 10 6
1.05 x 10 0
Answer:
1.05 x 10^0.
Step-by-step explanation:
1.05 x 10^3 / 1 x 10^3
= 1.05/1 x 10^(3-3)
= 1.05 x 10^0
Write the word sentence as an inequality.
the sum of a number w and 2.56 is at least 10.24
Answer:
w + 2.56 ≥ 10.24
Step-by-step explanation:
The least w + 2.56 could be is 10.24 which means that w + 2.56 could be more than 10.24
Whitney flips a coin and gets heads 45% of
the time.
She gets heads 54 times.
How many times did she flip the coin?