Answer:
B is equal to 2.5 and C is equal to -2.5
Step-by-step explanation:
You would first subtract b-3c from 3b-45c
Your equation would be:
3b-45c-(b-3c)=120-10
Then simplify the equation but distributing the negative sign:
3b-45c-b+3c=110
Then reorder the equation:
3b-b-45c+3c=110
Which equals 2b-42c=110
Then divide both sides by 2:
b-21c=55
b=55+21c
Subsitute 55+21c for b:
3(55+21c)-45c=120
Distribute the 3:
165+63c-45c=120
165+18c=120
Subtract 165 from both sides:
18c=120-165
18c=-45
Divide by 18 for both sides
c= -2.5
To find b, substitute -2.5 for c in the b=55+21c
b=55-52.5
b=2.5
Please correct me if I am wrong.
help me :( ill give u brainly! :)
Answer:
6.61387 stones
Step-by-step explanation:
Answer:
6.6 stones
Step-by-step explanation:
1 kg= 2.2 pounds
1 stone =14 pounds ⇒ 1 pound= 1/14 stone
42 kg= 42*2.2 pounds= 92.4 pounds
92.4 pounds = 92.4 * 1/14 stone= 6.6 stones
Add polynomials: (3 – 4x + 8x2) + (–6 + 2x – 5x2)
Answer:
The sum of the polynomials in the equation is 3x² - 2x - 3
Step-by-step explanation:
(3 - 4x + 8x²) + (-6 + 2x - 5x²)
Distribute the positive sign to (-6 + 2x - 5x²). So all of these terms will stay the same and maintain their original signs.
3 - 4x + 8x² - 6 + 2x - 5x²
Combine like terms.
- 3 - 2x + 3x²
Now put the equation in standard form. This means that the exponential numbers will be ordered in descending order.
3x² - 2x - 3
Answer:
3x^2 -2x -3
Step-by-step explanation:
Combine like terms
3-4x+8x^2-6+2x-5x^2
Put the numbers that are squared in the front
8x^2 -5x^2 =3x^2
Put the numbers with x only next
-4x + 2x= -2x
Then the normal numbers
3-6=-3
Put them together in simplified form of the equation
Thus your answer is 3x^2 - 2x -3
Hope this helps please mark brainliest!
Use the diagram to find the indicated angle measures. m∠1 = degrees m∠2 = degrees m∠3 = degrees
Answer:
m∠1 = 131°
m∠2 = 49°
m∠3 = 112°
Step-by-step explanation:
We find the m∠2 using Vertical Angles Theorem
We find the m∠1 using Definition of a Line
We find the m∠3 also using Vertical Angles Theorem
What is the distance from the point (3,8) to the point (7,-6)?
Answer: Distance is 14.6
Step-by-step explanation:
[tex]d = √((x2-x1)2 + (y2-y1)2)[/tex]
[tex](x2-x1) = (7 - 3) = 4[/tex]
[tex](y2-y1) = (-6 - 8) = -14[/tex]
add it all together
[tex](4)2 + (-14)2 = 16 + 196 = 212[/tex]
Square 212
[tex]\sqrt{212} =14.5602[/tex]
round to the nearest tenth
=14.6
PLEASE MARK BRAINLIEST
Answer: d=14.6
Step-by-step explanation:
√212=14.5602
round=14.6
simplify
[tex] \frac{3x - 12x {y}^{2} }{6 - 3y - 18 {y}^{2} } [/tex]
Answer:
[tex]\dfrac{2xy+x}{3y+2}[/tex]
Step-by-step explanation:
Factor numerator and denominator and cancel common factors.
[tex]\dfrac{3x-12xy^2}{6-3y-18y^2}=\dfrac{-3x(4y^2-1)}{-3(6y^2+y-2)}=\dfrac{x(2y-1)(2y+1)}{(2y-1)(3y+2)}\\\\=\boxed{\dfrac{2xy+x}{3y+2}}[/tex]
find x. A. 6√2 B. 2√2 C. 4 D. 2–√
Answer:
Option B is the correct answer
Step-by-step Explanation:
[tex] \sin 45 \degree = \frac{x}{2} \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{2} ..( \because \: \sin 45 \degree =\frac{1}{\sqrt 2}) \\ \\ \huge \purple{ \boxed{ x = \frac{ \sqrt{2} }{2}}} \\ \\ [/tex]
Using the trigonometric ratio sine, we find that x = [tex]\sqrt{2}[/tex], making option D to be correct.
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). These trigonometric ratios deduce a relationship between angles of right angle triangle ( other than the right angle ) and the sides of the triangle : base, perpendicular, hypotenuse.
We have used trigonometric ratio sine here.
sin[tex]\theta[/tex] = [tex]\frac{perpendicular}{hypotenuse}[/tex]
In the given question,
from the point of view of angle 45° which is marked in the figure,
base = y
perpendicular = x
hypotenuse = 2
Using, sin[tex]\theta[/tex] = [tex]\frac{perpendicular}{hypotenuse}[/tex]
sin 45 = [tex]\frac{2}{x}[/tex]
[tex]\frac{1}{\sqrt{2} } = \frac{x}{2} \\\\x = \frac{2}{\sqrt{2} } = \sqrt{2}[/tex]
Learn more about trigonometric ratios here
https://brainly.com/question/23130410
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please help 100 points if correct ! :)
please actually answer
Instructions
Part 1: Celebration!
Think of an activity that you enjoy or are interested in. Some examples are reading, swimming, or leveling up your gaming character. Use your activity to work through the following problems:
Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Write the inequality and show all work to solve the inequality.
Graph the solution to your inequality on a number line.
Explain what your solution means in the context of the problem.
Well for the activity we can do a game.
In a game you start with 50 coins and everytime you kill a monster "x" you get 2 more coins.You need 100 coins to level up.
We can make the following inequality,
2x + 50 ≥ 100
So to find x we single it out,
2x + 50 ≥ 100
-50 to both sides
2x ≥ 50
Divide 2 by both sides
x ≥ 25
For the number line look at the image below ↓
The solution in the number line is the number of monsters killed in order to level up.
Hope this helps :)
A simple random sample of 48 adults is obtained from a normally distributed population, and each person's red blood cell count (in cells per microliter) is measured. The sample mean is 5.23 and the sample standard deviation is 0.56. Use a 0.01 significance level and the given calculator display to test the claim that the sample is from a population with a mean less than 5.4, which is a value often used for the upper limit of the range of normal values. What do the results suggest about the sample group?
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ ≤ 5.4
For the alternative hypothesis,
H1: µ > 5.4
This is a right tailed test
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 48
Degrees of freedom, df = n - 1 = 48 - 1 = 47
t = (x - µ)/(s/√n)
Where
x = sample mean = 5.23
µ = population mean = 5.4
s = samples standard deviation = 0.56
t = (5.23 - 5.4)/(0.56/√48) = 2.1
We would determine the p value using the t test calculator. It becomes
p = 0.021
Since alpha, 0.01 < the p value, 0.021, then we would fail to reject the null hypothesis. Therefore, At a 1% level of significance, there is no significant evidence that the mean red blood cell count of each person is greater than 5.4 cells per microliter.
Since 5.4 is the upper limit, it means that result of the sample group is acceptable.
If the area of the trapezoid below is 75 square units, what is the value of x?
A. 12 units
B. 6 units
C. 1.5 units
D 3 units
Answer:
area of trapezoid= 1/2 × ( a + b ) × high
75cm² = 1/2 × (8+17) × h
75. = 1/2 × 25 × h
75. = 12,5 × h
75. = 12,5h
h = 75 ÷ 12,5
h. = 6 ( B )
If the smallest angle of rotation for a regular polygon is 10", how many sides does polygon have?
10
12
20
Answer:
Total number of side of regular polygon = 36
Step-by-step explanation:
Given:
Angle of rotation (regular polygon) = 10°
Find:
Total number of side of regular polygon
Computation:
Total number of side of regular polygon = 360° / Angle of rotation (regular polygon)
Total number of side of regular polygon = 360° / 10°
Total number of side of regular polygon = 36
Please sb help and write it down on paper then send a pic❤️
Answer:
Step-by-step explanation:
1) We would determine the cube root of 27 and find its square.
Cube root of 27 = 3
3² = 9
Solution = 9
2) 36³ = 46656
√36³ = √46656 = 216
3) we would find the 5th roof of - 243 and find its cube
5th root of - 243 = - 3
- 3³ = - 27
Solution = - 27
4) Looking at the expression, 40⅔, we can see that
a = 2
b = 3
c = 40
Answer: 1) We would determine the cube root of 27 and find its square.Cube root of 27 = 33² = 9Solution = 92) 36³ = 46656√36³ = √46656 = 2163) we would find the 5th roof of - 243 and find its cube5th root of - 243 = - 3- 3³ = - 27Solution = - 274) Looking at the expression, 40⅔, we can see that a = 2b = 3c = 40
Step-by-step explanation:
Geraldo is driving 504 miles to his grandparents’ house for the holidays. So far he has driven 21 miles in 20.3 minutes. If he continues to drive at this average rate of speed, estimate how long the entire trip will take.
Answer: about 5 hours and 3 min
Step-by-step explanation:
Answer:
about 8 hours and 7 minutes
Step-by-step explanation:
have 60 minutes divided by 20.3 minutes to find the correct ratio to find themph if the speed remained constant. It is about 2.95567 and using this number multiply to 21 to get the miles per hour. the speed is about 62.069 mph. then divide the 504 miles by the mph of the car to find how long it will take to get there. It is about 8 hours 7 minutes and 20 seconds give or take, or 8.12 hours.
4(13) + (18 4 27)
4(10) + 4(3) + (18 + 27)
40 - 12 + (+ 27)
Answer: Associative Property: (40+(12+18)+27. Evaluate: 97
Can any one help me in this please if you can I really need help please help me thank you
this my first time to ues this app the answer is right, hope you got it
Identify the center and radius of each. Then sketch the graph.
x^2 + y^2 =45
Answer:
centre: (0, 0)
radius: 3√5 ≈ 6.71
Step-by-step explanation:
The equation of a circle is denoted by:
[tex](x-x_1)^2 +(y-y_1)^2=r^2[/tex], where [tex](x_1,y_1)[/tex] is the centre and r is the radius
Here, we see that x1 and y1 are each 0, which means the centre is (0, 0).
We also see that r² = 45, which means the radius is r = √45 = 3√5 ≈ 6.71.
Therefore, we want to draw a circle with radius 6.71 and centre at (0, 0). See attached.
~ an aesthetics lover
Which trigonometric ratio is correct for triangle DEF? (Hint: Use Pythagorean Theorem first) A.) Sin(D)= 24/7 B.) Tan(D)= 24/25 C.) Cos(E)= 24/25 D.) Sin(E)= 7/24
Answer:
Cos E= 24/25
Step-by-step explanation:
Length of hypotenuse: 7^2+24^2=625. 625 square root=25
Thus, DE is 25.
Sin D= 24/25, so that is false.
Tan D= 24/7, so that is false.
Cos E= 24/25, so that is true
Sin E= 7/25, so that is false.
Explain how the following ordered pairs represent or doesn't represent a function - {(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)} a. For every x value there is one y value - not a function c. For every y value, there is one x value - function b. For every x value, there is only one y value - a function d. For every y value, there is one x value - not a function
Answer:
b. For every x value, there is only one y value - a function
Step-by-step explanation:
If any x-value is repeated, the relation is not a function. The above answer choice explains that.
Which linear inequality is represented by the graph?
Answer:
B. y ≤ 1/2x + 3
Step-by-step explanation:
Well we can start by finding the y-intercept which is the point on the line that touches the y-axis in this case it’s 3.
And by looking at the shade it is facing down and the line is solid so the inequality starts with y ≤,
So we can cross out answer choices C. and D.
And the slope is 1/2 because that’s how far away each points are from each other.
So the inequality is y ≤ 1/2x + 3
Look at the image below.
please help i will give out brainliest
Answer: Pls brainliest this took forever, but was really fun :)
Step-by-step explanation:
Imagine you are looking at the structure from the front or the side. What would you see? If you want a detailed explanation on orthogonal drawings, just ask :)
Kari picked 23 bunches of flowers from her garden. Each bunch had the same number of flowers. After she gave 46 flowers away, she had 138 left. How many flowers were in each bunch
Answer:
8 flowers in each bunch
Step-by-step explanation:
From this information, we can make the equation:
[tex]23b-46=138[/tex]
Where [tex]b[/tex] is the number of flower in each bunch.
[tex]23b-46=138[/tex]
Add 46 to both sides
[tex]23b=184[/tex]
Divide both sides by 23
[tex]b=8[/tex]
There are 8 flowers in each bunch.
Answer:8
Step-by-step explanation:
what is the volume of a box that will hold exactly 567of these cubes with 1.3 inch side
Answer:
21 inch cube
Step-by-step explanation:
(1/3)(1/3)(1/3)=1/27 is the volume of the cube
the volume of the box : 567*(1/27)=567/27=21
PLEASE HELP: ABCD is a parallelogram. If m DAB=105, then what is m BCD
Answer:
[tex]\boxed{105}[/tex]
Step-by-step explanation:
∠DAB = ∠BAC = 105 degrees
This is because opposite angles of a parallelogram are congruent.
Answer:
105
Step-by-step explanation:
∠DAB = ∠BAC = 105
PLZ HELP! PLZ EXPLAIN
Answer:
H. 48
Step-by-step explanation:
Let p represent the number of coins Pamela has. Then 3p is the number Samantha has. After 6 days of adding coins, we have ...
2(p +3·6) = 3p +2·6
2p +36 = 3p +12
24 = p . . . . Pamela has 24 coins; Samantha has 72.
Now, we can find the number of days (d) before the coin count is the same.
24 +3d = 72 +2d . . . . coin counts are the same after d days
d = 48 . . . . . subtract 24+2d
In 48 days from now, Pamela and Samantha will have the same number of coins.
Will give brainliest.
Answer:
x=8
Step-by-step explanation:
Those angles are supplementary so:
140+5x=180
5x=40
x=8
A movie theater has a seating capacity of 275. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1986, How many children, students, and adults attended? CHILDREN ATTENDED= ? STUDENTS ATTENDED= ? ADULTS ATTENDED=?
Answer:
Adults = 61
Students = 92
Children = 122
Step-by-step explanation:
a adults
x students
c children
a + c + x = 275
c / a = 2
5c + 7x + 12a = 1986
Simplify and solve the system.
a + 2a + x = 275
3a +x = 275
x = 275 - 3a. and c= 2a
The revenue equation can be written in terms of just one variable, a.
5(2a) + 7(275-3a) + 12a = 1986
Solve for a
a = 61
use it to find x and c.
c = 2a = 2 x 61 = 122
x = 275-a-c
x = 275 - 61-122
x = 92
Complete the solution of the equation. Find the
value of y when x equals -19.
2x - 5y = -28
Enter the correct answer.
ODO
DONE
Clear all
Answer:
y = -2
Step-by-step explanation:
Put x as -19 and solve for y.
2(-19) - 5y = -28
Multiply.
-38 - 5y = -28
Add 38 on both sides of the equation.
-5y = -28 + 38
-5y = 10
Divide both sides by -5.
y = 10/-5
y = -2
Answer:
2x - 5y = -28
when x = - 19
Substitute the value of x into the equation
That's
2(-19) - 5y = -28
-38 - 5y = -28
-5y = -28 + 38
-5y = 10
Divide both sides by - 5
We get
y = 10/-5
y = -2
Hope this helps
Solve the equation below algebraically for the exact value of x. 6 − 23(x + 5) = 4x
Answer:
See below.
Step-by-step explanation:
6 - 23(x+5) = 4x
First, distribute.
6 - 23x - 115 = 4x
Reorder the terms.
6 - 115 - 23x = 4x
Subtract.
-109 -23x = 4x
Add 23x to both sides.
-109 = 27x
Divide by 27.
x = -109/27 (This cannot be simplified)
To best estimate the quotient in scientific notation, what number should replace m?
StartFraction 6.33 times 10 Superscript 9 Baseline Over 1.79 times 10 Superscript 5 Baseline EndFraction almost-equals 3 times 10 Superscript m
Answer:
m=4
Step-by-step explanation:
6.33 × 10^9 / 1.79 × 10^5=3.54 × 10^m
Find m
6.33 × 10^9 / 1.79 × 10^5 =3.54 × 10^m
Divide the multipliers
6.33/1.79
=3.54
Divide the other multipliers
10^9/10^5
Division in scientific notation with superscript with the SAME base requires subtraction of the superscript using one of the bases
10^9/10^5
= 10^9-5
=10^4
Therefore,
6.33 × 10^9 / 1.79 × 10^5 = 3.54 × 10^4
m = 4
Answer:
4 :)
Step-by-step explanation:
In 15 words or fewer, describe what happens to the coordinates when
a graph is stretched vertically.
Answer: The graph becomes narrower
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k where
|a| represents the vertical stretch if |a| > 1, vertical shrink if |a| < 1(h. k) represents the vertexA vertical stretch means the curve gets narrower.
A vertical shrink/compression means the curve gets wider.
HELP IMA GIVE BRAINLY AND A LIKE
Answer: 18 animals
Step-by-step explanation:
3 out of 20 pet owners get their pet from a breeder.
To find how many animals have been bought from a breeder, you need to find 3/20 of the 122 animals.
3/20 = 0.15
122 * 0.15 = 18.3
18.3 rounds down to 18
There are 18 animals who have been bought from a breeder.