Answer:
48
Step-by-step explanation:
1/4 x = 12
x = 4*12
x=48
What is an equation of the line that passes through the points (-6,3) and (-5,2)
Answer:
y=-x-3
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the points (-6,3) and (-5,2)
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negativeThe most common way to write the equation of the line is in slope-intercept form, so let's do it that way.
First, we'll need to find the slope of the line
The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
Although we already have 2 points, let's label their values in order to avoid confusion later:
[tex]x_1= -6\\y_1=3\\x_2=-5\\y_2=2[/tex]
Now substitute these values into the formula to find slope (m):
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute (remember: we have NEGATIVE numbers, but the formula calls for SUBTRACTION, so we'll end up subtracting a negative):
m=[tex]\frac{2-3}{-5--6}[/tex]
Simplify:
m=[tex]\frac{2-3}{-5+6}[/tex]
Add/subtract the numbers together:
m=[tex]\frac{-1}{1}[/tex]
Divide
m=-1
We can substitute this as m in y=mx+b:
y=-1x+b, or y=-x+b
We need to find b now
Since the equation passes through both (-6, 3) and (-5, 2), we can use either point to solve for b
Taking (-6, 3) for example:
Substitute -6 as x and 3 as y
3=-1(-6)+b
Multiply
3=6+b
Subtract 6 from both sides
-3=b
Substitute -3 as b into the equation
y=-x-3
Hope this helps!
evaluate the function when x equals -6, 4, 1.
Answer:
- 26 , 4 , - 5
Step-by-step explanation:
Substitute the given values of x into s(x) , that is
s(- 6) = 3(- 6) - 8 = - 18 - 8 = - 26
s(4) = 3(4) - 8 = 12 - 8 = 4
s(1) = 3(1) - 8 = 3 - 8 = - 5
Find the probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.
Using it's concept, it is found that there is a 0.64 = 64% probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem:
Two numbers that can be repeated chosen from a set of 10 numbers, thus, in total, there are [tex]10^2 = 100[/tex] outcomes.For a sum no greater than 10, we have that:
0 can be added with all the 10 numbers, as can 1.2 can be added with 9 of them, bar 9.3 can be added with 8 of them.4 can be added with 7 of them.5 can be added with 6 of them.6 can be added with 5 numbers, 7 with 4, 8 with 3, and 9 with 2.Hence, the number of desired outcomes is:
[tex]D = 10(2) + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 = 64[/tex]
The probability is:
[tex]p = \frac{D}{T} = \frac{64}{100} = 0.64[/tex]
0.64 = 64% probability that the sum of two randomly chosen numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is no greater than 10.
A similar problem is given at https://brainly.com/question/25401798
line j passes through the point (-4,10) and (2,-8). Line k passes through the point (1,2) and is parallel to line j. Find an equation for line k.
Answer:
344444444433333338694
Step-by-step explanation:
Answer: y = -3x+5
Step-by-step explanation:
Alyssa bought a bag containing 60 small candies. She starts eating the candies at a rate of 5 candies per minute. Answer the questions below regarding the relationship between the number of minutes eating and the number of candies left in the bag.
Answer:
for every 10 she eats the minutes are even
Step-by-step explanation:
( i honestly dont know how to explain the relationship but i did the math for it)
it would take 12 mins to eat all 60 candies
55 candies : 1 min
50 candies : 2 mins
40 candies : 4 mins
30 candies : 6 mins
20 candies : 8 mins
10 candies : 10 mins
0 candies : 12 mins
express the followinf percentage as a fraction
a) 6 3/5%
Answer:
6.6/100 or 3.3/5
Step-by-step explanation:
6.6% or 6 3/5% now since those are all out of 100 (since percentages) you just put #/100 and get your fraction
Given this quadratic equation, 2x^2-x-28=0,
List the factors of this equation.
Determine the x-intercepts.
[tex]\\ \sf\longmapsto 2x^2-x-28=0[/tex]
[tex]\\ \sf\longmapsto 2x^2-8x+7x-28=0[/tex]
[tex]\\ \sf\longmapsto 2x(x-4)+7(x-4)=0[/tex]
[tex]\\ \sf\longmapsto (2x+7)(x-4)=0[/tex]
[tex]\\ \sf\longmapsto x=7/2\:or\:x=4[/tex]
A painter needs to find the area of
the gable end of a house. What is
the area of the gable if it is a triangle with two sides of 81 feet that meet at a 112° angle?
Answer = [?]ft^2 (Acellus!)
Answer:
3042
Step-by-step explanation:
1/2 * 81 * 81 * sin(112) = 3041.6266
The area of the triangular gable is 6083.25 ft².
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the area of a triangle with two sides a and b and angle C is,
(a×b×sinC).
Given, A painter is painting the gable end of a house which is a triangle with two sides of 81 feet that meet at a 112° angle.
∴ The area of the triangular gable is = (81×81×sin112°).
= (81)²sin112°.
= (81)²×0.928 ft².
= 6083.25 ft².
learn more about triangles here :
https://brainly.com/question/2773823
#SPJ2
Alybia was making 115 cookies for a Valentine’s Day party. They were each either red or purple. Forty percent of the cookies were red. How many cookies were purple?
Answer:
69 purple cookies!
Step-by-step explanation:
answer the following question in the picture
Answer:
x = 16
Step-by-step explanation:
5x - 7 = 8x - 55
+55 +55
5x + 48 = 8x
-5x -5x
48/3 = 3x/3
16 = x
16-?=2+6 solve for the missing number
Answer:
8
Step-by-step explanation:
trust
Answer:
8
Step-by-step explanation:
16-?=2+6
First, we add the right side .
16-?=8
Now that it's easier to solve, we can figure out you need to subtract 8 from 16 to get 8.
16-8=8
7⅕-2⅔x0,5 explain step by step
Step-by-step explanation:
7/5 - 2×2/3 × 0.5 = 1.4 - 2×0.5×2/3
= 1.4 - 1 ×2/3
=1/4 × 2/3
=1.5 - 0.6
Compare the properties of each exponential function over the interval (0,5)
Function A.
Jasmine received a job offer with a starting salary of $32,000 and a 1.5% increase every year
Function B
A second job offer for jasmine can be described by the function F(x) =30,000(1+0.02)^x
Answer:
erhujdrjdrj 3x24678q2578=1/235236125
Step-by-step explanation:
drjdfjdfj because 0,5 = 320000 x 1.5% = 17000 a year = 3000 (1=0.02)^x
Vivi is 40 floors from the top of her building. If she starts at the bottom and runs up 5 floors every 20 seconds, how far is she from the top of the
building after 90 seconds?
O 12 floors
• ,14
floors
17 floors
19.
O
floors
Answer:
17 floors
Step-by-step explanation:
1 floor every 4 seconds.
90/4 = 22.5
40 - 22.5 = 17.5
17.5 is 17ish floors, and is the only answer that is close to 17 floors.
Last semester, Zachary earned an average score of 80 points on math tests. So far this semester, his average score is 15% lower. What is the average of Zachary's scores this semester?
Answer:
The answer would be 12
Step-by-step explanation:
15/100 = X/80
To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 80, and then finally divide the numerator by the denominator on the right side to get the answer.
The equation
15/100 = X/80
X/80 = 15/100
X*80/80 = 15*80/100
X = 1200/100
X = 12
b. (a+b)x 1= (a+b)
What property is this?
can someone help me 5/4/7 + 1/3/4
Please check the attached image for the steps.
Answer = 11/42 = 0.261
____
RainbowSalt2222 ☔
A Carpenter wants to build a elliptical table top from a 4 foot to by 6 foot sheet of plywood. she traces out the ellipse using a string attached to thumbtacks located at the foci of the ellipse.
The thumbstacks have an in-between distance of [tex]2\sqrt{5}[/tex] feet.
The distance between any focus and the center of the ellipse ([tex]c[/tex]), in feet, is described by the following expression:
[tex]c = \sqrt{a^{2}-b^{2}}[/tex] (1)
Where:
[tex]a[/tex] - Major semiaxis length, in feet.[tex]b[/tex] - Minor semiaxis length, in feet.If we know that [tex]a = 3\ft[/tex] and [tex]b = 2\,ft[/tex], then the distance between focus and center is:
[tex]c = \sqrt{3^{2}-2^{2}}[/tex]
[tex]c = \sqrt{5}[/tex]
The distance between the thumbstacks is described by this expression:
[tex]d = 2\cdot c[/tex]
[tex]d = 2\sqrt{5}\,ft[/tex]
The thumbstacks have an in-between distance of [tex]2\sqrt{5}[/tex] feet.
We kindly invite to check this question on ellipses: https://brainly.com/question/14281133
Help me please save me from detention
Answer:
The answer is B.
Step-by-step explanation:
It would be B because,
2+2=4
4+2=6
6+4=10
10+6=16
Not A because,
1+1=2
2+1=3 not 4
There you go :) pls gime the crown... :)
Find the number that makes the ratio equivalent to 6:3 :9
why are prefixes used in naming covalent compounds
A. oxidation states of the atoms are identified with prefixes
B. the atoms can have different numbers of valence electrons
C. the prefixes identify the only way the atom can combine
D. the same atoms can combine in more than one ratio
Answer:
the atoms can have different numbers of valence electrons
Solving by Elimination
Answer:
unsolvable
Step-by-step explanation:
by elemination 14x+7y=-7 (1)
-14x-7y=7 (2)
x and y will be 0 then
If an atom has 5 protons, 7 neutrons and 5 electrons what is the mass number of the atom?
Please help quick!
No links!
Answer:
7+5=12
Step-by-step explanation:
To calculate the mass number of an atom, you have to add the protons and the neutrons. We have 7 neutrons and 5 protons, so your mass number would be 12. Let me know if you have any further questions. :)
Draw an ordered stem and leaf diagram to show this information.
245, 250, 251, 253, 258, 264, 267, 269, 273, 276
Key:24|5 means 245.
=========================================================
Explanation:
The key tells us how to set up the stem and leaf diagram. It says that [tex]24|5[/tex] represents the value 245.
This means that "24" is one of the stems. In fact, it's the smallest stem possible since there's nothing smaller than 240 on this given list of values.
The only leaf associated with this stem is 5. The stem 24 and the leaf 5 combine to form the number 245 as the key indicates.
--------------------------
In the next row is the stem 25. For this stem, we'll have the leaves of: 0, 1, 3, 8. The stem 25 and those leaves mentioned combine to form 250, 251, 253, 258 in that exact order. This time we'll use up four boxes for this row. The last box in this row is blank.
The remaining rows (stems 26 and 27) are handled in pretty much the same fashion. Let me know if you have questions how the boxes are filled in. It helps to start with sorted data from smallest to largest. Luckily, that's already been done for us.
The filled out chart is shown below. I replaced the stems 0,1,2,3 with 24,25,26,27.
Please help me with this homework
9-3÷ 1/3+1 Pls ya'll i need this for my 8th grade class
Answer:
9
Step-by-step explanation:
So it kinda easy but ill Just give u the answer :D
Answer:
9-3÷ 1/3+1= 9
Step-by-step explanation:
I can't do solution sorry.
Question 13 of 20
If fx) = 5x- 4 and g(x) = 4x+1, find (f- g)(x).
Answer:
Step-by-step explanation:
x-5
yo ill give brainliest if ur right help pls
Answer:
B or C. Im thinking C.
Step-by-step explanation:
Answer:
C, look at the problem and it says plus" directly look at the option and compare.
Step-by-step explanation:
Class 10R sat a test.
The mean mark for the class was 70%.
There are 30 students in class 10R, 20 of whom are boys.
The mean mark for the boys in the test was 62%.
Work out the mean mark for the girls.
86%
Step-by-step explanation:30 students in the class with a mean average of 70% can be expressed as:
total class percent / 30 = 70%
Rearranged, this gives that the class achieved a total of 30x70 or 2100%.
20 boys in the class with a mean average of 62% can be expressed as:
total boys percent / 20 = 62%
Rearranged, this gives that the boys achieved a total of 20x62 or 1240%.
This means that the girls achieved 2100 - 1240 so 860%.
Because there are 30 students and 20 boys, there are 10 girls.
Then work out the mean with a total of 860% and 10 girls.
860/10 = 86%.
Find the following for the nth term of the following geometric sequence, as an expression of n:
3, 15, 75, 375
Answer:
[tex]15^{n-1}[/tex]
Step-by-step explanation:
First , Let's find the common ratio of this sequence.
[tex]\frac{15}{3}=5\\\frac{75}{15} = 5\\\frac{375}{75} = 5[/tex]
SO,
r = 5
Now let's use this formula to find the n th term
[tex]T_n = ar^{n-1}[/tex]
Here,
a = first term
r = common ratio
Let's find,
[tex]T_n = 3*5^{n-1}[/tex]
[tex]T_n =15^{n-1}[/tex]
Therefore,
the n th term is,
[tex]15^{n-1}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Answer:
[tex]a_{n}[/tex] = 3[tex](5)^{n-1}[/tex]
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
15 ÷ 3 = 75 ÷ 15 = 375 ÷ 75 = 5
This indicates the sequence is geometric with nth term
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 3 and r = 5 , then
[tex]a_{n}[/tex] = 3 [tex](5)^{n-1}[/tex]
