Answers
Related Questions
Algebra 1 help please
Solve 19a + 11b = 12a + 15 for a.
Select one:
a. 77 – 11b)
b. (15 + 11b 1/7
c. 7 ( 15 – 11b )
d. (15 – 11b)
Answers
Answer:
a = (15-11b)/7
Step-by-step explanation:
19a + 11b = 12a + 15
Subtract 12a from each side
19a-12a + 11b = 12a-12a + 15
7a +11b = 15
Subtract 11b from each side
7a+11b-11b = 15 -11b
7a = 15-11b
Divide by 7
7a/7 = (15-11b)/7
a = (15-11b)/7
Answer:
A = (15-11b)/7
Step-by-step explanation:
A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix
that will sell for $1.40 per kg?
1. The amount of nuts is ____kg and cereal mixture is ____ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.
Answers
Answer:
n=16 kg
c=44 kg
Step-by-step explanation:
Let
n=nuts at $2.50 per kg
c=cereal at $1 per kg
n+c=60 (1)
2.5n + c=1.40(60) (2)
From (1)
n=60-c
Substitute n=60-c into (2)
2.5n + c=1.40(60)
2.5(60-c) +c=84
150-2.5c+c=84
-1.5c=84-150
-1.5c= -66
Divide both sides by -1.5
c=44 kg
Substitute c=44 into (1)
n+c=60
n+44=60
n=60-44
=16
n=16 kg
The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg.
*provide details with your answer if its NECESSARY. * What is the perimeter of this triangle?
Answers
Answer:
27.9 unitsOption B is the correct answer.
Step-by-step explanation:
Finding the distance between the points A and B
A ( 3 , - 1 ) → ( x1 , y1 )
B ( 9 , - 5 )→ ( x2 , y2 )
Distance = [tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
[tex] = \sqrt{ {(9 - 3)}^{2} + {( - 5 - ( - 1)}^{2} } [/tex]
[tex] = \sqrt{ {(9 - 3)}^{2} + {( - 5 + 1))}^{2} } [/tex]
[tex] = \sqrt{ {6}^{2} +( - 4) ^{2} } [/tex]
[tex] = \sqrt{36 + 16} [/tex]
[tex] = \sqrt{52} [/tex]
[tex] = 2 \sqrt{13} [/tex]
Finding the distance between the points B and C
B ( 9 , - 5 ) → ( x1 , y1 )
C ( 16 , - 2 )→ ( x2 , y2 )
Distance = [tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
[tex] = \sqrt{ {(16 - 9)}^{2} + { (- 2 - ( - 5))}^{2} } [/tex]
[tex] = \sqrt{ {(16 - 9)}^{2} + { ( - 2 + 5)}^{2} } [/tex]
[tex] = \sqrt{ {7}^{2} + {(3)}^{2} } [/tex]
[tex] = \sqrt{49 + 9} [/tex]
[tex] = \sqrt{58} [/tex] units
Finding the distance between the points A and C
A ( 3 , - 1 )→ ( x1 , y1 )
C ( 16 , - 2 )→ ( x2 , y2 )
Distance = [tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
[tex] = \sqrt{ {(16 - 3)}^{2} + {( - 2 - ( - 1))}^{2} } [/tex]
[tex] = \sqrt{ {(16 - 3)}^{2} + ( - 2 + 1) ^{2} } [/tex]
[tex] = \sqrt{ {13}^{2} + ( { - 1)}^{2} } [/tex]
[tex] = \sqrt{169 + 1} [/tex]
[tex] = \sqrt{170} [/tex] units
Now, let's find the perimeter:
Perimeter = AB + BC + AC
plug the values
[tex] = 2 \sqrt{13} + \sqrt{58} + \sqrt{170} [/tex]
Calculate
[tex] = 27.9[/tex] units
Hope this helps..
Best regards!!
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for the company to make the maximum profit. y=-10x^2+689x-6775 The selling price should be $
Answers
Answer:
x = $34.45
Step-by-step explanation:
Solution:-
The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:
[tex]y = -10x^2 + 689x -6775[/tex]
We are to determine the profit maximizing selling price ( x )
From the properties of a parabola equation of the form:
[tex]y = ax^2 + bx + c[/tex]
The vertex ( turning point ) or maximum/minimum point is given as:
[tex]x = -\frac{b}{2a} \\\\x = - \frac{689}{2*(-10)} = \frac{689}{20}\\\\x = 34.45[/tex]
The profit maximizing selling price of widgets would be x = $34.45.
Dilate the figure by a scale factor of 0.5 with the origin as the center of dilation. What are the vertices of the image?
1 F '(3, 2.5), G '(5, 0.5), H '(2, 1)
2 F '(2.5, 3), G '(0.5, 5), H '(0.5, 1)
3 F '(−3, −2.5), G '(−5, −0.5), H '(−1, −0.5)
4 F '(3, 2.5), G '(5, 0.5), H '(1, 0.5)
Answers
Answer:
4. F '(3, 2.5), G '(5, 0.5), H '(1, 0.5)
Step-by-step explanation:
The formula for dilations are
[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] where t1 is the scale factor
F has coordinates (6,5) so you can write
[tex](6*0.5,5*0.5)[/tex]
Multiply 6 by 0.5 and 5 by 0.5 to get
[tex](3,2.5)[/tex]
Next, do G. It has coordinates (10, 1) so you can write
[tex](10*0.5, 1*0.5)[/tex]
Multiply 10 by 0.5 and 1 by 0.5 to get
[tex](5, 0.5)[/tex]
Finally, point H has coordinates (2, 1) so you can write
[tex](2*0.5, 1*0.5)[/tex]
Multiply 2 by 0.5 and 1 by 0.5 to get
[tex](1, 0.5)[/tex]
Hope this helps. Feel free to ask any follow-up questions.
Have a great day! :)
Answer: F '(3, 2.5), G '(5, 0.5), H '(1, 0.5).
From the image the vertices are F(6, 5), G(10, 1), H(2, 1).
We have to dilate the figure by a scale factor of 0.5 with the origin as the center of dilation.
We will multiply the vertices by 0.5.
So the new vertices will be: F '(3, 2.5), G '(5, 0.5), H '(1, 0.5).
Learn more: https://brainly.com/question/20521181
If a = 4 and b = 7, what is the value of the following expression? 20 ÷ a + 7 • b A. 28 B. 84 C. 54 D. 33
Answers
Answer:
54
Step-by-step explanation:
20 ÷ a + 7 • b
Let a = 4 and b = 7
20 ÷ 4 + 7 • 7
Multiply and divide first
5 + 49
Then add
54
Answer:
54
Step-by-step explanation:
a=4 b=7
20/4=5
7✖️7=49
5+49=54
Hope this helps you!
pre-algebra !!!. A class contains 3 female and 9 male students. Find the probability that a student chosen at random is a male, and then a second student chosen at random from the remaining students is also male. 9/16 3/4 1/2 6/11 None of the above
Answers
Answer:
D
Step-by-step explanation:
The first student is from a class of 12.
The first student = 9/12 for the fist male.
The second male is 8 out of 11.
The probability of both being males is
9/12 * 8/11 = 3/4 * 8/11 = 6/11
solve x^2+5x-2=0 Enter your answers,as exact values, in the boxes.
Answers
Answer:
√33
x = -5/2 ± ---------
2
Step-by-step explanation:
Through completing the square, we get:
x^2 + 5x + (5/2)^2 - (5/2)^2 - 2 = 0, or
(x + 5/2)^2 - 25/4 - 2 = 0.
This simplifies to
(x + 5/2)^2 = 33/4
Taking the square root of both sides yields:
x + 5/2 = ±√(33/4), which can be solved explicityl for x:
√33
x = -5/2 ± ---------
2
To most closely estimate the difference below, would you round the numbers to the nearest ten thousand, the nearest thousand, or the nearest hundred? Explain. 62,980 - 49,625 =?
Answers
Answer:
To most closely estimate the difference, I would round 62,980 to the nearest thousand, so it will be 63,000. That is because when rounding, 63,000 is large enough so that adding will be easy, and 62,980 is relatively close to 63,000.
I would round 49,625 to the nearest thousand, since it would make the subtraction easier and 49,625 is only 375 units away from 50,000.
63,000 - 50,000 = about 13,000.
Hope this helps!
Can some help please with this MATH! Thanks
Answers
Answer:
19.6 ft
Step-by-step explanation:
4²+x²=20²
16+x²=400
384 = x²
x = 19.6 ft
Answer:
19.6 feet
Step-by-step explanation:
We know that
The hypotenuse is 20 feet, and the bottom leg is 4 feet.
We also know that Pythagorean theorem is used when there is one missing side to a triangle.
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
Substitute in a for 4 and c for 20. The hypotenuse is always the variable c.
4^2 + b^2 = 20^2
16 + b^2 = 400
b^2=384
[tex]\sqrt{384}[/tex] = 19.6
Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to read. I'm on Kahn so if anyone knows the answer to the question with the 4 graphs let me know.
Answers
Answer:
Total number of pages in book = 570 pages
Step-by-step explanation:
Given:
Rate of reading = 55 page per hour
Number of hour = 4 hour
Total pages remain = 350 pages
Find:
Total number of pages in book
Computation:
Number of pages read = Number of hour × Rate of reading
Number of pages read = 4 × 55
Number of pages read = 220
Total number of pages in book = Number of pages read + Total pages remain
Total number of pages in book = 220 + 350
Total number of pages in book = 570 pages
Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner. 6 x + 3 y = 27. 5 x + 2 y = 21. Which variable should he choose so that he can use substitution to solve the system?
Answers
Answer:
Your answer is A
Step-by-step explanation:
By using substitution method, we obtained the solution of equations (3, 3).
The given linear system of equations are 6x+3y=27 and 5x+2y=21.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Using substitution method we can solve given equations
6x+3y=27 can be written as 2x+y=9 ----------(I)
5x+2y=21 ----------(II)
From equation (I), we have y=9-2x
Substitute y=9-2x in equation (II), we get
5x+2(9-2x)=21
⇒ 5x+18-4x=21
⇒ x=21-18
⇒ x=3
Substitute x=3 in equation (I), we get
2(3)+y=9
⇒ y=3
Therefore, by using substitution method, we obtained the solution of equations (3, 3).
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ6
Please help!!! Question is below
Answers
Answer:
A. Obtuse
Step-by-step explanation:
Well we can cross out C and D just by looking at the triangle because the triangle is not equal and there is no right angle.
Also it is not B an acute because not all the angles are acute.
Hence, the answer is A. Obtuse
Answer:
[tex]\boxed{\mathrm{A}}[/tex]
Step-by-step explanation:
An obtuse triangle is a triangle with one obtuse angle and two acute angles.
An obtuse angle is an angle greater than 90 degrees.
An acute angle is an angle less than 90 degrees.
Angle C is an obtuse angle, it is greater than a right angle or 90 degrees.
Angles B and A are acute angles, they are less than a right angle or 90 degrees.
Find the value of x in each case. Give reasons to justify your solutions! please help will award brainliest
Answers
2x + 3x-5 + 90= 180. 5x=95, x=19.
Answer: x=19
Step-by-step explanation:
We know that 2x is equal to w. We also know that the angle of the triangle is 90 degrees. We also know the 90 plus 3x-5 plus w will equal 180 degrees since it is a triangle. So, by substituting the w from w+ 3x-5+90=180 with 2x, we can solve for x by moving all the numbers around. So it goes from 2x+3x-5+90=180 to 2x+3x-5=90 and then to 5x-5=90 and finally to 5×=95 and divide 95 by 5 to get x. And you're done! Hope this helps!
A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle can take no longer than 3 minutes. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)? On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the left of the line is shaded. On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the right of the line is shaded. On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (1, negative 1). Everything to the left of the line is shaded.
Answers
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x -----> time of the first process in minutes
y -----> time of the second process in minutes
we know that
The time of the first process multiplied by 4 (because is repeated 4 times) plus the time of the second process multiplied by 1 (because is repeated only once) must be less than or equal to 3 minutes
so
The inequality that represent this situation is
The solution of the inequality is the shaded area below the solid line
The equation of the solid line is
The y-intercept of the solid line is the point (0,3)
The x-intercept of the solid line is the point (0.75,0)
The slope of the solid line is negative m=-4
using a graphing tool
The solution is the shaded area
The graph in the attached figure
Remember that the time cannot be a negative number
Answer: The answer is the last graph so D
Step-by-step explanation: Pogchamp
What percent of the area underneath
this normal curve is shaded?
[?]%
Hint: Use the 68 - 95 - 99.7 rule.
Enter
Answers
Answer:
The area covered by it is "95%".
Step-by-step explanation:
The given rule "68-95-99.7" specifies that perhaps the breadth around one standard deviation across each edge of the partition covers 68% throughout the area. Furthermore, the breadth of two standard deviations across each edge of the boundary covers 95% throughout the area.99.7% of something like the region is protected by that same side of three standard deviations along each partition side.Consequently, because the shaded region encompasses the range of two standard deviations, the portion protected is 95%.
The height of the trunk is 26 inches the length of the trunk is 50 inches. The tv is 54 inches wide. And 96 inches in height Use the Pythagorean theorem to calculate the length of the diagonal of the trunk.
Answers
Answer:
The length of the diagonal of the trunk is 56.356011 inches
Step-by-step explanation:
According to the given data we have the following:
height of the trunk= 26 inches
length of the trunk= 50 inches
According to the Pythagorean theorem, to calculate the length of the diagonal of the trunk we would have to calculate the following formula:
length of the diagonal of the trunk=√(height of the trunk∧2+length of the trunk∧2)
Therefore, length of the diagonal of the trunk=√(26∧2+50∧2)
length of the diagonal of the trunk=√3176
length of the diagonal of the trunk=56.356011
The length of the diagonal of the trunk is 56.356011 inches
23 points! Paige has 3 coats: a pink one, a red one, and a white one. She has a black scarf, a gray scarf and 1 set of white gloves. Determine the different combinations Paige has for staying warm if she always wears a coat, a scarf, and gloves. For your answer, list the total number of possibilities and all possible combinations she has.
Answers
Answer:
6 combinations
Step-by-step explanation:
3 coats => Pink, Red, White
2 Scarves => Black, Grey
Gloves => Only 1
So the combination are drawn in the tree diagram below.
Hi there! Hopefully this helps!
---------------------------------------------------------------------------------------------------------
Since she has 3 coats, 2 scarfs, and 1 glove:
She has 6 ways to choose a coat, a scarf, and a glove(s).
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
My 6 combinations:
1.) Red coat, black scarf, white glove(s).
2.) White coat, grey scarf, white glove(s).
3.) Pink coat, black scarf, white glove(s).
4.) Red coat, grey scarf, white glove(s).
5.) White coat, black scarf, white glove(s).
6.) Pink coat, grey scarf, white glove(s).
I NEED HELP WILL GIVE BRAINLEST!!! PLZ HELP ME
Answers
Answer:
See below
Step-by-step explanation:
To create a dot plot:
We need to draw/put dots with the given data.
You'll find your answer in the attached file.
Let me know if it's not clear!
Please help also with the questions on the picture, it's really urgent too...... Thank you✨
Answers
=720
2x+2x+x+115+105+100=720
x=80
3.a)(n-2)x180=3960
n=24
b)3960/24=165
Exterior angle=180-165
=15
If sin ZA = { and cos ZA = }, what is tan ZA?
Answers
Answer:
A: 3/4
Step-by-step explanation:
sine is the length of the opposite side / length the hypotenuse side
cosine is the length of the adjacent side / length the hypotenuse side
using what's given:
the opposite side has a length of 3the adjacent side has a length of 4the hypotenuse side has a length of 5Tangent is the ratio between the opposite side length and the adjacent side length (opp/adj). With our givens, this means tan(A) = 3/4. See image for more.
Answer:
A
Step-by-step explanation:
PLS answer ASAP TY!!
Answers
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(6, 2); parallel to 8x - y = 4
(a) Write the equation of the line in slope-intercept form.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Answers
Answer:
(a) y=8x-46
(b) 8x-y=46
Step-by-step explanation:
-y=-8x+4
y=8x+4
We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.
Substitute (6,2)
2=8(6)+b
2=48+b
b=-46
The final answer is y=8x-46
Does anyone know this need help!
Answers
Answer:
Lead
Step-by-step explanation:
According to the chart, we can see that lead has the highest number here, so lead has the highest freezing / melting point in this chart.
If we were looking for the element with the lowest freezing / melting point, then we would look for the lowest number, which would belong to Helium, at -272.
The number of bagels sold daily for two bakeries is shown in the table: Bakery A Bakery B 15 15 52 16 51 34 33 35 57 12 12 9 45 36 46 17 Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain. Mean for both bakeries because the data is symmetric Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric Median for both bakeries because the data is not symmetric
Answers
Answer:
Which numbers go to each bakery
Answer:
D. Median for both bakeries because the data is not symmetric.
Step-by-step explanation:
HELP NOW A dartboard has 20 equally divided wedges, and you are awarded the number of points in the section your dart lands in. If you are equally likely to land in any wedge, what is the probability you will score more than 10 points?
Answers
Answer:
1/2 (or) 0.50 (or) 50%
Step-by-step explanation:
10 out of 20 wedges are worth more than 10.
10/20 = 1/2 (or) 0.50 (or) 50%
Answer:
0.75
Step-by-step explanation:
Graph the linear function whose equation is
y - 2 = - * (x + 1) by following these steps:
Answers
Answer:
The slope is -2/3
Step-by-step explanation:
With this its easier to get all of the x's on one side.
distribute the -2/3 to the x and 1. Also add a 2 on each side.
Thats leaves you with y=-2/3x+4/3
You than want to make a chart of x's and y's so you know what this graph looks like
x|y
-3|(10/3)
-2|(8/3)
-1|2
0|(4/3)
1|(2/3)
2|0
3|(-2/3)
To find the slope, it's (y2-y1)/(x2-x1)
So in this case, (0-2)/(2+1)
The slope is (-2/3)
Answer:
Slope = -2/3
Point = (-1,2)
Plot the given point = (-1,2)
Use the slope to plot one more point = (2,0)
Step-by-step explanation:
Write each of the following expressions without using absolute value: PLEASE HELP I WILL MAKE BRAINLIEST TO WHOEVER GETS BOTH OF THEM RIGHT
Answers
Answer:
7
Step-by-step explanation:
In the figure below, B is the center of the circle, NL
32, OS = 3x - 2, RB = 26, and SB = 26. Find the value of
X.
Answers
Answer: x=12
Step-by-step explanation:
OQ is equal to NL since both contain 90 degree angles and are intersected by a radius. Since OS is 3x-2 and NL is 32, then we need to find OQ and set it equal to NL. OS is half of OQ, so multiplying OS by 2 will get you OQ. 6x-4=32
That yields x=12.
Answer:
X=12
Step-by-step explanation:
There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many possibilities are there?
Answers
Answer:
190 possibilities.
Step-by-step explanation:
The problem is called 20 choose 2, given by the formula for combinations
C(20,2) = 20! / (2! (20-2)!) = 190
alternatively, we can reason it this way:
there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.
However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.
Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.