Answer:
75
Step-by-step explanation:
2x-45+x=180
3x-45=180
3x=225
x=75
Answer:
75
Step-by-step explanation:
Adjacent angles add to 180
x + 2x-45 = 180
Combine like terms
3x - 45 = 180
Add 45 to each side
3x = 180+45
3x =225
Divide by 3
3x/3 = 225/3
x =75
HELP ME PLEASE ~ Thanks :)
Answer:
A
Step-by-step explanation:
99/479
formula: girls in action divided by everyone
explain the differences between an equation and an equality. how do those differences affect solutions.
Answer:. An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.
Step-by-step explanation:
Question 7 PLEASE HELP Describe the transformation from the graph of f(x) =x to the graph of g(x)=1/5x+4 A: The transformations are a rotation and a translation. B: The transformations are a translation, A reflection, and a rotation. C The transformations are a translation and a reflection. D The transformations are a rotation and a reflection
Answer:
A: The transformations are a rotation and a translation.
Step-by-step explanation:
The function f(x) is shown in the attachment as a dashed red line. The function g(x) is shown as the blue line.
The two lines have different slopes. The change in slope can be accomplished by horizontal or vertical scaling, or by rotation. The offered answer choices only include rotation as an option for changing the slope.
The two lines have different intercepts. To move the line from one intercept to another, generally translation is involved.
The simplest transformation is rotation and translation.
_____
Comment on the answer choices
If the reflection is done across a line other than an axis, or if the rotation is done about a point other than the origin, then any combination of rotation, reflection, and translation can be used to make the transformation seen. (Translation alone is not sufficient.)
For example, reflecting the line across the bisector of the angle between the lines (a line with a slope of (√13 -2)/3 through (5, 5)) will give the desired transformation in one step.
Similarly, a rotation of about 33.69° about the point (5, 5) will give the transformation in on step. (That angle is 45°-arctan(1/5).)
A jeweler needs to melt some 18 -karat gold to make a necklace. The melting point for 18-karat gold is 1700 Fahrenheit. Convert this Fahrenheit temperature to a Celsius temperature. Round your answer to one decimal place.
Answer: 926.7°C
Step-by-step explanation:
1700°F=926.7°C
(1700°F-32)•5/9=926.667°C
926.667°C rounded to one decimal place 926.7°C
The jeweler needs 926.7 °C temperature to melt 18-karat gold.
What is temperature?Temperature is a measurement to observe heat. The S.I. unit of temperature is Kelvin.
Given that,
Melting point of 18-karat gold is 1700 Fahrenheit
To convert Fahrenheit into Celsius, use formula,
C = 5/9(F-32),
C=5/9(1700-32)
C=5/9×1668
C=926.666
The required temperature in Celsius is 926.7 °C.
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Helppp!!!! please!!!
Answer: 2) 1767.1
Step-by-step explanation:
For a sphere, V=(4 /3)πr^3. A diameter is 2r. Thus the radius of the circle is 7.5 inches. Thus, the volume is about 1767.15.
Hope it helps <3
What value of x is in the solution set of 4x – 12 ≤ 16 + 8x?Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?
Distribute –4 to get –8x + 4 > 5 – 3x.
Distribute –4 to get –8x – 1 > 5 – 3x.
Subtract 2x from both sides of the inequality.
Add 1 to both sides of the inequality.
Answer:
B:
Distribute –4 to get –8x – 1 > 5 – 3x.
what percentage of 340 is 425?
Answer:
125%
Step-by-step explanation:
1. Set up the equation
425/340 = x/100
(percentages are out of 100 so this equation means 425 out of 340 is equal to a number out of 100)
2. Cross multiply
340x = 42500
3. Solve for x
x = 125
Answer:
125%
Step-by-step explanation:
425-340 is 85.
85 of 340 is 0.25, which means it is 25% of 240.
Since 425 is greater than 340, add 100% to the 25% you found with 85.
425 = 300 + 85
y = 100% + 25%
125%
when x=4 and y=-3 evaluate 3x-2y
Answer:
18
Step-by-step explanation:
Plug in the values.
3(4) - 2(-3)
12 - - 6
12 + 6
= 18
Answer:
18
Step-by-step explanation:
[tex]3x - 2y \\ = 3 \times 4 - 2 \times (-3) \\ = 12 + 6 \\ = 18[/tex]
Which problem could be solved with the expression 4 × (6+3)?
A. Connie has 4 beanbags. She bought 6 additional beanbags. She then played a game with the beanbags and lost 3 of them. How many beanbags does she have now?
B. Issa ate 6 marshmallows on Saturday and 4 marshmallows on Sunday. He follows this pattern for 3 weeks. How many marshmallows did he eat?
C. Mason goes on vacation with her family for 4 days. Each morning, she bikes 6 kilometers to the donut shop and then 3 more kilometers to the swimming hole. She rides home from the swimming hole in her mom's car. How many kilometers does Mason bike on vacation?
Thanks so much :)
Answer:
C. Mason goes on vacation with her family for 4 days. Each morning, she bikes 6 kilometers to the donut shop and then 3 more kilometers to the swimming hole. She rides home from the swimming hole in her mom's car. How many kilometers does Mason bike on vacation?
Step-by-step explanation:
For A., the equation would be 4 + 6 - 3
For B., the equation would be 3 x (6 + 4)
So our only option is C.
For C., the equation would be 4 x (6 + 3)
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▹ Answer
C. Mason goes on vacation with her family for 4 days. Each morning, she bikes 6 kilometers to the donut shop and then 3 more kilometers to the swimming hole. She rides home from the swimming hole in her mom's car. How many kilometers does Mason bike on vacation?
▹ Step-by-Step Explanation
The equation for A would be → 4 + 6 -3
The equation for B would be → 3 × (6 + 4)
The equation for C would be → 4 × (6 + 3)
Therefore, C is the correct answer.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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Mr. Palmer does an experiment to investigate the effects of distractions on studying and learning. He gives each participant a line with 10 words to memorize in 5 minutes. Some of the participants are interrupted during the 5 minutes with text messages from friends. The graph shows the number of words remembered after 5 minutes and the number of text messages sent to the participants as distractions. According to the line of best fit, about how many words would a person remember after being distracted by 7 text messages?
Answer:
5 words.
Step-by-step explanation:
We have been given a graph that shows the number of words remembered after 5 minutes and the number of text messages sent to the participants as distractions. We are asked to find the number of words learned by a student, if he or she is distracted by 7 text messages.
We can see that x-axis represents number of sent text messages and y-axis represents number of words learned by a student.
To find the number of words learned by a student, when student is distracted by 7 text messages, we need to find the y-coordinate corresponding to on the given line.
We can see that the value of y is 5 at , therefore, a person will remember 5 words, if he or she is distracted by 7 text messages.
5 words would a person remember after being distracted by 7 text messages.
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Given:
A graph that displays the number of words retained after 5 minutes and the quantity of text messages sent to participants to serve as diversions has been provided to us.
We can see that the y-axis shows how many words a pupil has learned, and the x-axis shows how many text messages have been sent.
It is necessary to locate the y-coordinate on the supplied line that corresponds to the value of x=7 in order to determine how many words a student acquired while being distracted by 7 text messages.
A person will only retain 5 words if they are distracted by 7 text messages, as we can see from the value of y at x=7.
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A bowl has 85 pieces of candy. Nineteen children empty the bowl of candy. Some children take 3 pieces, some children take 5 pieces, and 1 child takes 7 pieces of candy. How many children take 3 pieces of candy?
Answer:
children take 3 pieces of candy are 6
Step-by-step explanation:
x+y=19-1 x+y=18
3x+5y=85-7 3x+5y=78
eliminate x by multiplying the first equation by 3:
3x+3y=54
3x+5y=85 subtract
(3x+3y)-(3x+6y)=54-78
3x-3y-3x-5y=-24
-2y=-24 y=-24/-2=12
y=12 , substitute for y:
x+y=18
x=18-12
x=6
check: 3x+5y=78
3(6)+5(12)=78
18+60=78 correct
An interior angle of a regular convex polygon is 140°. How many sides does the polygon have?
Answer:
hope it will help uh.....
The temperature each hour in Elma, Texas on October 1 is modelled by the equation
t(h) = 10 cos(15h - 10)° + 30 where his hour of the day with 0 meaning midnight, and t is the
temperature in degrees Celsius. How hot did it get in Elma on October 1?
Answer:
[tex]39.8^{\circ} C[/tex]
Step-by-step explanation:
We are given that the temperature each hour in Elma Texas on October 1 is modelled by the equation
[tex]t(h)=10cos(15h-10)^{\circ}+30[/tex]
Where h=Hour of the day with 0 meaning midnight
t=Temperature in degree Celsius
We have to find the temperature on October 1.
Substitute h=0
[tex]t(0)=10cos(15(0)-10)+30[/tex]
[tex]t(0)=10cos(-10)+30[/tex]
[tex]t(0)=39.8^{\circ} C[/tex]
Hence, the temperature in Elma on October 1=[tex]39.8^{\circ} C[/tex]
What value of n makes the equation true?
-1/5n + 7=2
n=
Answer:
n = 25
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and is:
Parenthesis
Exponents & roots
Multiplication
Division
Addition
Subtraction
~
First, subtract 7 from both sides:
(-1/5)n + 7 (-7) = 2 (-7)
(-1/5)n = 2 - 7
(-1/5)n = -5
Next, multiply -5 from both sides:
(-1/5)(-5)n = (-5)(-5)
n = -5 * -5
n = 25
25 is your answer for n.
~
Answer: n = 25
Step-by-step explanation: In this equation, our first step is to isolate the n term by subtracting 7 from both sides.
On the left, +7 -7 cancels and we're left with -1/5n.
On the right, 2 - 7 simplifies to -5.
So we have -1/5n = -5.
In order to get n by itself, since it's being multiplied by a fraction,
we multiply both sides of the equation by the reciprocal of that fraction.
The reciprocal of -1/5 is -5/1.
So we multiply both sides of the equation by -5/1.
So we have (-5/1)(-1/5n) = -5(-5/1).
On the left, our 1's cancel and our 1's cancel.
Also, remember that a negative times a negative is a positive.
So on the left we are left with n.
On the right, -5(-5/1) is 25.
So n = 25.
Please answer it now in two minutes
Answer:
Triangle E, F, G and Triangle T, U, V.
Step-by-step explanation:
They both are congruent because have the same shape, same size, and they both mirror each other.
Answer:
Triangle EFG and triangle TVU
Step-by-step explanation:
You must use congruent segments and keep track of the corresponding sides and vertices.
Triangle EFG and triangle TVU
Does anyone know the answer to the table below?
Hey there! :)
Answer:
16 minutes.
Step-by-step explanation:
Create an equation in the form y = mx + b to solve this problem. Begin by solving for the rate of change of the table using the slope formula:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in values from the table into the equation:
[tex]m = \frac{64 - 40}{9 - 5}[/tex]
Simplify:
[tex]m = \frac{24}{4}[/tex]
m = 6.
Plug in the slope and a point from the table into the equation
y = mx + b
40 = 6(5) + b
40 = 30 + b
40 - 30 = b
b = 10.
Rewrite the equation:
y = 6x + 10
To solve for how long it took her to ride 1 km, plug 1 into the equation:
y = 6(1) + 10
y = 6 + 10
y = 16 minutes.
The distance between Singapore and Sydney is 6300 km correct to the nearest 100 km
A businessman travelled from Singapore to Sydney and then back to Singapore.
He did this six times in a year.
Between what limits is the total distance he travelled?
Answer:
Step-by-step explanation:
If the distance between Singapore and Sydney is 6300 km correct to the nearest 100 km, it means that the actual distance could have been at least 6250 km. If the businessman travelled from Singapore to Sydney and then back to Singapore for six times in a year, it means that he covered each distance 12 times(6 × 2) Then, his total distance would be between
6250 × 12 = 75000 km
And
6300 × 12 = 75600 km
The limit is between 75000 km and 75600 km
The limits is the total distance he travelled is 75,000 km and 75,600km.
The total number of times the businessman travelled from Singapore to Sidney is 12 times. This was determined by multiplying 6 by 2. If the distance is to the nearest 100km, the actual distance would range from 6250 to 6300km. This is because both distances to the nearest 100km is 6300.
Upper bound = 6250 x 12 = 75,000 km
Lower bound = 6300 x 12 = 75,600 km.
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A tip of lotus was 16cm above the surface of water but forced by the wind, it gradually advanced and was submered at a distance of 56cm. find the depth of water? Ans; 90cm [plz provide detail process]
Answer:
90 cm is submerged (depth of water)
Step-by-step explanation:
Refer to diagram attached.
Let
x = total length of the lotus stem
16 = exposed part of stem
56 = horizontal displacement.
Hence
depth of water = x-16
Using the Pythagorean theorem,
(x-16)^2 + 56^2 = x^2
Expand
x^2 -32x + 256 +3136 = x^2
Simplify
3392 = 32x
x = 3392/32 = 106
Depth of water = x-16 = 106 - 16 = 90 cm
At a DBE lecture of 100 students, there are 29 women and 23 men. Out of these students, 4 are teachers and 24 are either men or teachers. Find the number of women teachers attending the lecture?
Answer:
The number of women teachers attending the lecture is 1.
Step-by-step explanation:
Denote the variables as follows:
M = men
W = women
T = teacher
The data provided is:
n (M) = 23
n (W) = 29
n (T) = 4
n (M ∪ T) = 24
Compute the number of men teachers as follows:
[tex]n(M\cap T)=n(M)+n(T)-n(M\cup T)[/tex]
[tex]=23+4-24\\=3[/tex]
Compute the number of women teachers as follows:
[tex]n(T)=n(M\cap T)+n(W\cap T)[/tex]
[tex]4=3+n(W\cap T)[/tex]
[tex]n(W\cap T)=1[/tex]
Thus, the number of women teachers attending the lecture is 1.
What are the solutions to the equation |y – 3| = 2? 1. Rewrite for two solutions: (y–3) = 2, –(y–3) = 2 2. Solve the first equation: y = 5 3. Solve the second equation: –y + 3 = 2 The solutions to the equation |y − 3|= 2 are and .
Answer:
y = 5 or y = 1
Step-by-step explanation:
|y - 3| = 2
y - 3 = 2 or y - 3 = -2
y = 5 or y = 1
2a + 5a x 4a - a simplify
Answer:
20a² + a
= a(20a + 1)
Step-by-step explanation:
2a + 5a × 4a - a
= 2a + 20a² - a
= 20a² + a
You can do one or both if u do both I’ll give Brainlynest
Answer:
18) a. X
19) d. 69°
Step-by-step explanation:
18) A reflection is a transformation where an image is flipped over a line. So V will still be in the same place, it will just be flipped over line B. The only answer that makes sense in X.
19) All the angles in the picture are vertical angles. Vertical angles are angles that are across from each other when two lines cross and they are always equal.
The angle opposite the angle that is 78° is also 78°.
The angle opposite the angle that is 33° is also 33°.
The three angles form a straight line so:
78° + 33° + x = 180°
111° + x = 180°
x = 69°
Since the angle is a vertical angle and is opposite angle a, angle a will also be 69°.
Hope this helps. :)
How do I write parametric equations of the line 2x+3y=11
This line is in standard form, and the first thing we need to do is convert it into point - slope form or simply isolate y -
2x + 3y = 11, Subtract 2x from either side
3y = - 2x + 11, Divide either side by 3
y = ( - 2x + 11 ) / 3
To derive the parametric equation say x = t -
y = ( - 2t + 11 ) / 3,
or in other words
Solution = y = ( 11 - 2t ) / 3
Answer:
c on ed
Step-by-step explanation:
A rectangle with an area of x2 – 4x – 12 square units is represented by the model. What side lengths should be used to model the rectangle? (x + 2) and (x – 6) (x + 6) and (x – 2) (x + 2) and (x – 10) (x + 10) and (x – 2)
Answer: (x+2) and (x-6) represents the side lengths.
Step-by-step explanation:
The area of the rectangle is [tex]x^{2} -4x -12[/tex] so in this case to find the side lengths we need to factor out the area.
To factor [tex]x^{2} -4x-12[/tex] We need to find two numbers that if we multiply together we will have -12 and if we add those two number we will get -4.
-6 and 2 works out
Because -6 * 2 = -12 and -6 +2 = -4
Now we will rewrite the area as
[tex]x^{2}[/tex] +2x - 6x -12 Group them
([tex]x^{2}[/tex] +2x) (-6x -12) factor them
x (x +2) -6(x+2) factor out x+2
(x+2)(x-6) Done!
Answer: The correct answer is A (x+2)(x-6) on Edg 2020;)
How do you simplify:
[tex] \sqrt{(125 ^{2} } ) ^{ - \frac{1}{3} } [/tex]
Answer:
[tex]\huge\boxed{\sqrt{(125^2)^{-\frac{1}{3}}}=\dfrac{1}{5}}[/tex]
Step-by-step explanation:
[tex]\sqrt{(125^2)^{-\frac{1}{3}}}\qquad\text{use}\ (a^n)^m=(a^m)^n\\\\=\sqrt{\left(125^{-\frac{1}{3}\right)^2}\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=125^{-\frac{1}{3}}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{125^\frac{1}{3}}\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\dfrac{1}{\sqrt[3]{125}}=\dfrac{1}{5}\qquad\text{because}\ 5^3=125[/tex]
HELPPP IF YOU CAN DO THISSSS (BRAINLIST) thank youuu
Answer:
a) $50,880
b) $48
c) 1060
Step-by-step explanation:
a)
-320x^2 + 1920x + 48000 = 0
This is a parabola that opens downward. It has a maximum value. The maximum value occurs at x = -b/(2a)
x = -b/(2a) = (-1920)/(2(-320)) = 1920/640 = 3
The maximum revenue, y, is the value of the function evaluated at x = 3.
f(x) = -320x^2 + 1920x + 48000
f(-3) = -320(3)^2 + 1920(3) + 48000
f(-3) = 50,880
The maximum revenue is $50,880
b)
Since maximum revenue occurs at x = 3, and since x represents the number of $4 discounts, the discount is 3 * $4 = $12. The price is $60 - $12 = $48
c)
$50,880/$48 = 1060
A pyramid arena in Galveston, TX is a rectangular pyramid with a base area of 70,840ft^2 and a height of 12 stories. Each story is approximately 10 feet. Estimate the volume in cubic feet.
Answer:
approximate volume = = 28336 cubic ft.
Step-by-step explanation:
Base area = 70840 sq. ft
Each story is about 10 ft.
approximate height = 12*10 = 120 '
Volume of pyramid
= Base * height /3
= 70840 * 120 / 3
= 28336 cubic ft.
Answer: 2,833,600 [tex]ft^{3}[/tex]
Step-by-step explanation: Please see the image below!
Find the value of the function f(x) = x2 + 4x - 3, when x = -1.
Answer:
- 6
Step-by-step explanation:
[tex]f(x) = {x}^{2} + 4x - 3 \\ \: plug \: x = - 1 \\ f( - 1) = {( - 1)}^{2} + 4( - 1)- 3 \\ f( - 1) = 1 - 4- 3 \\ f( - 1) = 1 - 7 \\ \huge \red{ \boxed{ f( - 1) = - 6}} \\[/tex]
Draw the graphs of y=2x plus 1
Hey there! :)
Answer:
Graphed below.
Step-by-step explanation:
Graphing y = 2x + 1 can be done by finding points on the line. Find the y and x intercepts to make graphing more simple:
Solving for the y-intercept:
y = 2(0) + 1
y = 1, or (0, 1). This is the y-intercept.
Solving for the x-intercept:
0 = 2x + 1
Subtract 1 from both sides:
-1 = 2x
Divide both sides by 2:
x = -1/2, or (-1/2, 0). This is the x-intercept. We can graph the equation given these two points.
Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep. (1 gallon = 231 in3, 1 inch = 2.54 cm) Which of the following scenarios will happen? (2 points) The paint will not fill the tray by 369 cm3. The paint will not fill the tray by 5.22 in3. The paint will fill the tray exactly. The paint will overfill the tray by 5.22 in3.
Answer:
The paint will not fill the tray by 5.22 in³.
Step-by-step explanation:
V = L × W × H
5 cm → in = 1.9685
V = 12 × 10 × 1.9685
V = 236.22 in³
Available Amount of Paint - 231 in³
236.22 in³ - 231 in³ = 5.22 in³
Hope this helps! :)