Answer:
x=-5
y=4
(-5,4)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−5,4)
Janel went shopping and bought 2 shirts and a pair of pants for $55.78 before tax. How much was the total after 6% sales tax?
Answer:
$59.13
Step-by-step explanation:
6% of 55.78= 3.35
3.35+55.78=59.13
Question 13 (2 points)
There are a total of 56 students in the art club and the math club. The art club has 12 more students
than the math club. Write and solve a system of equations to find the number of students in each club.
Let x = students in the art club and y = students in the math club
Solution:
students in the art club and
students in the math club
Blank 1:
Blank 2:
Answer:
The math club has 22 students, and the art club has 34 students.
Step-by-step explanation:
Given that there are a total of 56 students between the art club and the math club, and that the art club has 12 more students than the math club, to determine how many students there are in each club, the following calculation must be performed:
X + X + 12 = 56
2X + 12 = 56
2X = 56 - 12
X = 44/2
X = 22
Thus, the math club has 22 students, and the art club has 34 students.
Which of the following represents a function?
Answer:
A.
Step-by-step explanation:
in order for a function to be a function, one input must only have one output.
We see that in option B, -1 has two outputs (10, 18)
In option c, we see that -4 has two outputs (2, -2)
In option D, we see that -3 has two outputs (5, 0)
This means A is the correct option because each input has only one output.
The Owner of a large chain restaurant with 1,200 employees estimates that about 250 employees will ask for winter vacation. A random sample of 40 employees show that 8 of them will ask for the time off . Determine whether the owner's estimate is likely to be accurate
Answer:
He is likely to be accurate.
Step-by-step explanation:
An estimate is a value that is close to the true or actual value. Usually, a sample from a smaller group is projected into a larger population. To crosscheck the trueness of the estimate, we compare the small sample to the large sample thus;
If 40 employees = 8 applicants for vacation
1200 employees = ? applicants for vacation
Cross multiplying the above gives;
1200 * 8
40
= 9600/40
= 240 applicants for vacation.
The figure 240 is close to the owner's estimate of 250.
Find the slope between the ordered pairs (3,8) (-2,6)
Answer:
2/5
Step-by-step explanation:
(y2-y1)/(x2-x1)=slope
8-6=2
3+2=5
slope is 2/5
Answer: The slope of the line is 0.4
Step-by-step explanation: I wish it help.
Find the measure of the numbered angle
Answer:
1 = 50°, 2 = 130°, 3 = 50°, 4 = 130°, 5 = 40°, 6 = 140°, 7 = 90°, 8 = 140°
Step-by-step explanation:
The sum of the angles of a triangle is 180°. A flat angle measures 180° as well.
Angle 1: 180 - 90 - 40 = 50°
Angle 2: 180 - 50 = 130°
Angle 3: 180 - 130 = 50°
Angle 4: 180 - 50 = 130°
Angle 5: 180 - 90 - 50 = 40°
Angle 6: 180 - 40 = 140°
Angle 7: 180 - 90 = 90°
Angle 8: 180 - 40 = 140°
It's a little complicated, but I hope this helps!
I need help please!
Answer/Step-by-step explanation:
Area of trapezium = ½*(AD + BC)*AB
Area = 42 cm²
AD = (x + 8) cm
BC = (x + 5) cm
AB = x cm
Plug in the values into the equation
42 = ½((x + 8) + (x + 5))*x
42 = ½((x + 8 + x + 5)*x
42 = ½(2x + 13)*x
Multiply both sides by 2
42*2 = (2x + 13)*x
84 = 2x² + 13x
2x² + 13x = 84
Subtract both sides by 84
2x² + 13x - 84 = 0
round to the nearest 10th (-1 , 4) and (1 ,-1)
Answer:
hehhfhrhrjrhrh
Step-by-step explanation:
jfjfjurufurufufjfufuhfhfjfirjfujrjfirkfkhu is the term-to-term of all 4x 4 in a number subtract and its own in an expression 6.40 is the term-to-term of all that they are students to the people who is the true and their family sense TTYL their minds to the people who is the term-to-term
lets try this again can someone help
Answer:
Step-by-step explanation:
First expand into [tex]\left(x^2-9\right)\left(3x+2\right)[/tex]. Then expand again to[tex]3x^3+2x^2-27x-18[/tex]
The angle of elevation of the top of a flagpole from a point on the ground 30 meters
from the base of the flagpole is 18 degrees. What is the height of the flagpole, to the
nearest meter?
I need help
Answer:
[tex]10\:\mathrm{meters}[/tex]
Step-by-step explanation:
We can use trigonometry for a right triangle to solve this problem:
[tex]\tan 18^{\circ}=\frac{h}{30},\\h=30\cdot\tan 18^{\circ},\\h\approx \fbox{$10\:\mathrm{m}$}[/tex].
The height of the flagpole is 10 meters.
What is angle of elevation?"It is the angle from the horizontal upward to an object."
For given question,
Consider the following figure.
The angle of elevation is 18°
⇒ ∠ACB = 18°
Also, BC = 30 meters
We need to find the height of the flagpole i.e., we need to find the distance AB.
Consider a tan(∠ACB )
[tex]\Rightarrow tan(18^{\circ})=\frac{AB}{BC}\\\\ \Rightarrow 0.3249 = \frac{AB}{30}\\\\ \Rightarrow AB=9.747 ~~meters\\\\\Rightarrow AB\approx 10~~meters[/tex]
Therefore, the height of the flagpole is 10 meters.
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PLEASE HELP END OF 1/4 IS TODAY
Answer:
Let's try C
Step-by-step explanation:
Susie has a bag with 9 hair pins, 7 pencils, 2 snacks, and 5 books. What is the ratio of books to pencils?
Answer:
5:7
Step-by-step explanation:
6|X– 3|+10=52
X= or x=
Answer:
x = 10, -4
Hope this helped!
Find the value of x. Round to
the nearest tenth.
Х
15°
300
X = ?
Answer:
80.4
Step-by-step explanation:
Use the tan formula
The value of X is approximately 80.38 units.
Here, we have,
To find the value of X, we can use trigonometric functions.
In this case, we'll use the tangent function, which relates the angle and the sides of a right triangle.
The tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
In this scenario, we have the angle between the hypotenuse and the base as 15°, and the base of the triangle is given as 300 units.
Using the tangent function, we can set up the equation:
tan(15°) = X / 300
Now, let's solve for X:
X = 300 * tan(15°)
Using a calculator, we find:
X ≈ 80.384
Rounding to the nearest tenth, the value of X is approximately 80.38 units.
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HURRY PLEASE WILL MARK BRAINLIEST!!!!!
Answer: 80 perhaps
Step-by-step explanation:
Answer:
the answer is c 40 ft because to find the area is half of base times height
Step-by-step explanation:
8 times 10 = 80
80/2= 40
13
=
Which of the following represent functions that have the same rate of change?
A. y = 1
х
1
2
3
4
OB
у
-2
-2
-2
-2
х
1
2
3
4
C.
у
-2
-4
-6
-8
O D.y = 2x
A & B
Step-by-step explanation:
You find the rate of change by taking the change in y over the change in x. If you look at A, you'll quickly realize there is no change in y as x increases. If you look at B the same is true, as x increases y stays the same.
In a study of facial behavior, people in a control group are timed for eye contact in a 5- minute period. Their times are normally distributed with a mean of 184 seconds and a standard deviation of 55 seconds. For a randomly selected person from the control group, find the probability that the eye contact time is greater than 230 seconds
Answer:
0.20148
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 230
μ is the population mean = 184
σ is the population standard deviation = 55
z = 230 - 184/55
z = 0.83636
P-value from Z-Table:
P(x<230) = 0.79852
P(x>230) = 1 - P(x<230) = 0.20148
Therefore, the probability that the eye contact time is greater than 230 seconds is 0.20148
Jacob is standing on the observation deck of the Sears Tower in Chicago. The height of the
observation deck is 1450 feet. He sees his car being towed, which is parked on the street 5,128
feet from the base of the tower. Find the angle of depression. Round to the nearest tenth.
9514 1404 393
Answer:
15.8°
Step-by-step explanation:
The relationship between angle trig functions and sides of a right triangle is summarized in the mnemonic SOH CAH TOA. Here, we're given the side opposite the angle (the height of the deck), and the side adjacent to the angle (the horizontal distance). So, the applicable relation is ...
Tan = Opposite/Adjacent
tan(angle) = 1450/5128
Then the angle is found using the inverse tangent function:
angle = arctan(1450/5128) ≈ 15.8°
The angle of depression is about 15.8°.
Help please! I’m bad with geometry.
Answer:
Step-by-step explanation:
1). Figure given on the top shows two lines with red marks (on segments UT and SR) are equal in measure.
Therefore, UT ≅ RS
2). In the second figure, Two angles have been marked with red arcs are equal in measure.
Therefore, ∠C ≅ ∠D
3). Angle marked with red square is a right triangle.
∠D = 90°
x= -1/5; f(x) = (25/2)x + (-91/2) =
Answer:
Write the problem as a mathematical expression.
X=−1/5; f(x)=(25/2)x+(−91/2)
Replace the variable x with x=−1/5 in the expression.
f(−1/5)=(25/2)(−1/5)−91/2
Simplify the result.
−48
Step-by-step explanation:
P L E A S E H E L P M E W I LL SC A M Y O U I F U T A K E M Y P O I N T S
Answer:
135c^7
Step-by-step explanation:
[tex]135c^7[/tex] is the simplified equation of the given expression.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
To simplify [tex]5c(3c^2)^3[/tex], we need to apply the power rule of exponents, which states that [tex](a^m)^n = a^{(m*n)[/tex].
In this case, we have [tex](3c^2)^3[/tex], which means we need to multiply the exponent 3 by the exponent 2, giving us 6. So, we can rewrite the expression as:
[tex]5c(3c^2)^3 = 5c(3^3c^{(2*3)})[/tex]
Simplifying further, we get:
[tex]5c(3^3c^6) = 5c(27c^6)[/tex]
Finally, we can simplify by multiplying 5 and 27, and adding the exponents of c:
[tex]5c(27c^6) = 135c^{(1+6)} = 135c^7[/tex]
Therefore, [tex]5c(3c^2)^3[/tex] simplifies to [tex]135c^7[/tex].
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Lynn and three friends estimated to find 29.11 ÷ 35. Their estimates are shown in the table below.
Whose estimate is best?
Answer:
I don't see any table please be sure to include it.
Step-by-step explanation:
Answer:
Lynn
Step-by-step explanation:
29.11 divided by 35 is 82 remainder 31. Lynn has the closest answer.
What is x ?
-2x + 7x - 62 = 83
Answer:
x = 29
Step-by-step explanation:
Aden gets paid daily for the work she does and she does not work on Sundays. Last year which was n ot a leap year had 52 Sundays. She got Dhs 354003 as her annual salary last year. If the March of last year had 5 Sundays, how much did she earn in that month?
Answer: Dhs 29312.4
Step-by-step explanation:
For a leap year, we should note that there are 366 days. Since there were 52 Sundays, the number of days worked by Aden will be:
= 366 - 52
= 314 days
Since she got Dhs 354003 as her annual salary last year, the amount received per day will be:
= 354003 / 314
= Dhs 1127.4
The amount earned in March will be:
= (31 - 5) × 1127.4
= 26 × 1127.4
= Dhs 29312.4
~Can ~ you ~ please ~ help ~ me ~ out?~
Also please don't make fun of how I write my questions- ;w;
If you do that's okay, I'm not the boss of you ^^
Answer: c
Step-by-step explanation:
a. About how much does a textbook weigh? b. About how much does a car weigh? c. About how much does a mosquito weigh? d. About how long is a textbook? e. About how long is a car?
Answer:
a. About 0.907185 kg to 2.72155 kg
b. About 1857 kg
c. About 0.005 g
d. About 0.75 feet
e. About 15 to 16 feet
Step-by-step explanation:
These are all estimated measurements and may vary across different regions and jurisdictions.
Someone please help me answer this question
Answer:
reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
1 meter of electric cord costs $3. How much do u pay for 2/3.
Answer:
2 dollars.
Step-by-step explanation:
1 meter costs 3 dollars
2/3 meter costs 2/3 * 3
2/3 * 3 = 2
So you would pay 2 dollars for 2/3 of a meter.
Help please! I’m bad at math
Answer:
The answer should be 40
Step-by-step explanation:
85+55=140
180-140=40
solve the equation. check your solution n - 6 = 21
Answer:
n=27
Step-by-step explanation:
Answer:
n=27
Step-by-step explanation:
Let's solve your equation step-by-step.
n−6=21
Step 1: Add 6 to both sides.
n−6+6=21+6
n=27
Hope it helped!