Answer:
the desired equation is y = (-1/3)x + 6
Step-by-step explanation:
Let the given line be A: y=3x+2
The slope of line A is m = 3.
The slope of any line B which is perpendicular to line A is the negative reciprocal of the slope of A: m = -(1/3).
The particular perpendicular line that passes through (3, 5) is then
5 = (-1/3)(3) + b, which simplifies to 5 = -1 + b, or b = 6.
Thus, the desired equation is y = (-1/3)x + 6
Campbell food distribution pays frank bell a $1290 monthly salary plus a 11% commission on merchandise he sells each month. assume franks sales were $31,600 for last month.
Calculate the following amounts:
1. Amount of commission:
2. Gross pay:
Answer:
1. Amount of commission =$3476
2.Gross pay = $4766
Step-by-step explanation:
commission =(11/100)×31,600
=$3476
Gross pay = 3476+1290
=$4766
If the nth term of a number sequence is 5n – 2n, find the first 3 terms and the 10th term.
Answer:
0,3,6, and 30
Step-by-step explanation:
do you think i can pass 7th grade with at least a B i have to make them 80%.
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
I passed 7th grade with a B
Can someone help me find the angles of R, S, and U? ive already solved the other ones
there is a bag filled with 6 blue and 5 red marbles.
a marble is taken at random from the bag the colour is noted and then it is replaced. another marble is taken at random. what is the probability of getting 2 reds
Answer:
Step-by-step explanation:
The probability of obtaining a red marble in one sample is 5/11. Since you are sampling twice the probability of picking a red marble both times is 5/11 x 5/11 = 25/121. That is slightly less than one time in five.
Please solve these.
You will get all of my points if you get all of them correct
Answer:
Step-by-step explanation:
1) Area of triangle= 1/2 x b x h
b = 7.6cm h= 3.4cm
Area= 1/2 x 7.6 x3.4 = 12.92cm²
2)Divide the shape into a triangle and a rectangle
Area of rectangle : l x b
L= 20cm, b= 7cm
= 20 x 7 = 140 cm²
Area of triangle =1/2 x b xh
B = 20cm, h= 16 - 7 = 9cm
1/2 x 20x 9= 90cm²
Total area = 140 + 90 = 230cm²
3) area of triangle = 1/2 x b x h
B = 12cm, h= 5cm
= 1/2 x 12 x 5 = 30cm²
4) area of triangle = 1/2 x b x h
B = 15cm, h= 8cm
= 1/2 x 15 x 8 = 60cm²
5) divide the shape into two rectangles; the lower and the upper
Area of rectangle= l x b
Upper rectangle, l= 10cm, b= 27 - 9 = 18cm
Area= 10 x 18= 180cm²
Lower rectangle, l= 24cm, b= 9cm
Area = 24 x 9= 216cm²
180 + 216 = 396cm²
4.2 = c/-8.5 + 10.7
A. 55.25
B. -126.65
C. -55.25
D. 126.65
Answer: Number C
Step-by-step explanation:
Solve
1
Find common denominator
4
.
2
=
−
8
.
5
+
1
0
.
7
4.2=\frac{c}{-8.5}+10.7
4.2=−8.5c+10.7
4
.
2
=
2
−
1
7
+
−
1
7
⋅
1
0
.
7
−
1
7
4.2=\frac{2c}{-17}+\frac{-17 \cdot 10.7}{-17}
4.2=−172c+−17−17⋅10.7
2
Combine fractions with common denominator
4
.
2
=
2
−
1
7
+
−
1
7
⋅
1
0
.
7
−
1
7
4.2=\frac{2c}{-17}+\frac{-17 \cdot 10.7}{-17}
4.2=−172c+−17−17⋅10.7
4
.
2
=
2
−
1
7
⋅
1
0
.
7
−
1
7
4.2=\frac{2c-17 \cdot 10.7}{-17}
4.2=−172c−17⋅10.7
3
Multiply the numbers
4
.
2
=
2
−
1
7
⋅
1
0
.
7
−
1
7
4.2=\frac{2c{\color{#c92786}{-17}} \cdot {\color{#c92786}{10.7}}}{-17}
4.2=−172c−17⋅10.7
4
.
2
=
2
−
1
8
1
.
9
−
1
7
4.2=\frac{2c{\color{#c92786}{-181.9}}}{-17}
4.2=−172c−181.9
4
Multiply all terms by the same value to eliminate fraction denominators
4
.
2
=
2
−
1
8
1
.
9
−
1
7
4.2=\frac{2c-181.9}{-17}
4.2=−172c−181.9
−
1
7
⋅
4
.
2
=
−
1
7
⋅
2
−
1
8
1
.
9
−
1
7
-17 \cdot 4.2=-17 \cdot \frac{2c-181.9}{-17}
−17⋅4.2=−17⋅−172c−181.9
5
Cancel multiplied terms that are in the denominator
−
1
7
⋅
4
.
2
=
−
1
7
⋅
2
−
1
8
1
.
9
−
1
7
-17 \cdot 4.2=-17 \cdot \frac{2c-181.9}{-17}
−17⋅4.2=−17⋅−172c−181.9
−
1
7
⋅
4
.
2
=
2
−
1
8
1
.
9
-17 \cdot 4.2=2c-181.9
−17⋅4.2=2c−181.9
6
Multiply the numbers
−
1
7
⋅
4
.
2
=
2
−
1
8
1
.
9
{\color{#c92786}{-17}} \cdot {\color{#c92786}{4.2}}=2c-181.9
−17⋅4.2=2c−181.9
−
7
1
.
4
=
2
−
1
8
1
.
9
{\color{#c92786}{-71.4}}=2c-181.9
−71.4=2c−181.9
7
Add
1
8
1
.
9
181.9
181.9
to both sides of the equation
−
7
1
.
4
=
2
−
1
8
1
.
9
-71.4=2c-181.9
−71.4=2c−181.9
−
7
1
.
4
+
1
8
1
.
9
=
2
−
1
8
1
.
9
+
1
8
1
.
9
-71.4+{\color{#c92786}{181.9}}=2c-181.9+{\color{#c92786}{181.9}}
−71.4+181.9=2c−181.9+181.9
8
Simplify
Add the numbers
Add the numbers
1
1
0
.
5
=
2
110.5=2c
110.5=2c
9
Divide both sides of the equation by the same term
1
1
0
.
5
=
2
110.5=2c
110.5=2c
1
1
0
.
5
2
=
2
2
\frac{110.5}{{\color{#c92786}{2}}}=\frac{2c}{{\color{#c92786}{2}}}
2110.5=22c
10
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
=
55.25
Answer:
A.55.25
Step-by-step explanation:
4.2 = c/-8.5 + 10.7
4.2 - 10.7 = c/-8.5
-6.5 = c/-8.5
-6.5 . -8.5 = c
55.25 = c
The lengths of the sides of a triangle are square root 139, square root 73, and 6. Classify the trianglo as “acute", "right", or "obtuso".
Choose the correct type of triangle below.
O acute
obtuse
Oright
Answer:
It's obtuse.
Step-by-step explanation:
Mumble. Smells al-kashi laws of cosine to me.
[tex]a^2-b^2-c^2 = -2bc cos\alpha\\b^2-c^2-a^2=-2ca cos \beta\\c^2-a^2-b^2=-ab cos \gamma[/tex]
Now, we don't need to calculate the RHSs, and then:
If at least one of the three LHSs is greater than zero, the triangle is obtuse
If at least one is zero, it's a right triangle (pythagorean theorem anyone?)
if all three numbers are less than zero, the triangle is acute
Start crunching numbers.
[tex]139-73-36 = 30[/tex] First try was the charm. finding 30 means that the product [tex][-2(\sqrt{73})(6) ]cos \alpha[/tex] is positive, and since the product in the large bracket is negative, the cosine has to be 0, thus the angle has to be greater than 90°, QED
What is the slope of (1,3/4) and (4,-3)
Answer:
=-0.75
Step-by-step explanation:
S=y2_y1/x2_x1
Where x1=1
Y1=3/4
X2=4
Y2=-3
Four boys weighed themselves in different pairs and alone. The weights of the pairs were 110 kg, 112 kg, 113 kg, 118 kg, 121 kg, and the weight of one pair was lost. The total weight of the four boys was 230 kg. What was the lost weight?
The lost pair of weight can be found by subtracting the a known pair from
the total weight leaving the value of the lost pair.
The lost weight of a pair of boys is 120 kg
Reasons:
Let a, b, c, and d represent the weights of the four boys, we have;
The number of ways of selecting pairs (two boys) of boys from a group of
four is given using combination formula as follows;
[tex]_nC_r = \dfrac{n!}{r! \cdot (n - r)!}[/tex]
Which gives;
[tex]_4C_2 = \dfrac{4!}{2! \cdot (4 - 2)!} = 6[/tex]
₄C₂ = 6
Therefore, the weights of the pairs are;
a + b = 110
a + c = 112
a + d = 113
b + c = 118
b + d = 121
c + d = Lost weight
c + d = Lost weighta + b + c + d = 230 (given)
Therefore;
The lost weight, c + d = 230 - (a + b)
Which gives;
c + d = 230 - (110) = 120
The lost weight = c + d = 120
The lost weight = 120 kgLearn more here:
https://brainly.com/question/12974932
Answer:
116
Step-by-step explanation:
you can use variables
a+b=110
a+c=112
a+d=113
b+c=118
b+d=121
add up the weights and you get 574 kg (you need to find c+d)
3a+3b+2c+2d=574
a+b+c+d = 230 as given then you multiply by 3 so you can cancel out 3a and 3b and subtract 690-574 because we multiplied by 3
you are left with c+d=116
similar method to the answer previously
help me pls with math
Answer:
d
Step-by-step explanation:
HI GUYS COULD SOMEONE PLEASE HELP ME???
I REALLY NEED HELP ILLL GIVE BRAINLIEST
I JUST REALLY NEED TO FINISH
Answer:
57.43
Step-by-step explanation:
I hope this.helps
Rachel has a $23,000 six year loan with APR of 7.25%
Answer:6,000 is the answer
Step-by-step explanation:
Which of the following expressions has the greatest value?
Answer:
[tex](0.1)^2[/tex]
Step-by-step explanation:
The top number known as an exponent tells you to multiply the number by its self that many times so the other number will get very small.
Hey there!
Option A.
0.01^4
= 0.01 * 0.01 * 0.01 * 0.01
= 0.0001 * 0.0001
= 0
Option B.
0.1^4
= 0.1 * 0.1 * 0.1 * 0.1
= 0.01 * 0.01
= 0.0001
Option C.
0.01^3
= 0.01 * 0.01 * 0.01
= 0.001 * 0.01
= 0.00001
Option D.
0.1^2
= 0.1 * 0.1
= 0.01
“ 0.01 > 0.0001 > 0.00001 > 0”
Therefore, your answer should be: 0.1^2 (option D)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
1.
What is the sum of
4 |
22 (1 point)
+
+
3
011
o
어
IN IN NII am |
0
0 0
Answer:
B. One whole number one over two. 1½
recipe☝️
Question: How many cups of sifted cake flour will you need for 2 cakes? Show your work.
Answer:
5 cups of flour need to make two cakes
What is the range of the graphed function?
O [x1-2
O [yI-2
O {x | x is a real number}
O [vl y is a real number}
Answer:
first one my sister tried itStep-by-step explanation:
What is the complete factorization of the polynomial below?
x - x2 + x - 2
x^3 + 2x^2 + x + 2 = (x^2 + 1) (x + 2).
HELP ME PLEASE!!!!!!!!
Answer: C
Step-by-step explanation: the key is to look at the relationships between the numbers. The y value increments by 5.5 or 5 respectively, which LOOKS like additive. However, it is actually multiplicitve, since the question is the relation between X and y, not the y values. From there you can simply test that 5x1=5, 5x2=10, etc, etc.
HELP ME OUT PLEASE I RLLY NEED IT ASAP. ):
(a) Slope is rise over run, or change in y over change in x.
1 -> 3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{4 - -8}{-1 - -5} = \frac{4 + 8}{-1 +5}= \frac{12}{4} =\frac{12}{4}[/tex] )
2 -> 3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{1 - 7}{0 - 2} = \frac{-6}{- 2} =\frac{6}{2}[/tex] )
3 -> -1/3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{-7 - -3}{6 - -6}= \frac{-7+3}{6+6}=\frac{-4}{12}=-\frac{1}{3}[/tex] )
(b) If a line is parallel, the slopes will be the same. If they are perpendicular, the slopes will be are negative reciprocals of one another. If they are neither, then their slopes don't match up in any way.
1 & 2 -> Parallel
1 & 3 -> Perpendicular
2 & 3 -> Perpendicular
Note - Since 1 & 2 are parallel, then both 1 and 2 will be perpendicular to 3!
Have a nice day!
If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
Line 1: slope: 1
Line 2: slope: -3/2
Line 1 and line 2: neither
Line 3 slope: - 1/3
Line 1 and 3: neither
Line 2 and 3: neither
Step-by-step explanation:
Line 1: (-5,-8) and (-1,4)
Slope: (4 - - 8)/(-1 - - 5) = 12/4 = 3
Line 2: (2,7) and (0,10)
Slope: (10 -7)/(0 - 2) = 3/-2 = -3/2
Line 3. ((-6,-3) and (6,-7)
Slope: (-7 - - 3)/(6 - -6)= -4/12= -1/3
Help asapppppppppp!!!!
Answer:
The answer is C
Step-by-step explanation:
25^2 = 625
20^2 = 400
625+400 = 1025
sqrt(1025) is the answer
1
A line passes through the point (10, 4) and has a slope of
1/2
Write an equation in slope-intercept form for this line.
Answer:
[tex]y=\frac{1}{2}x-1[/tex]
Step-by-step explanation:
To find the equation of the line you will use the slope-intercept formula [tex]y=mx+b[/tex]
[tex]slope=m=\frac{rise}{run}[/tex]
Can someone help me with this I’m not getting it
Answer:
n = 3.5
Step-by-step explanation:
basically it's saying that 2.8 is proportional to 4.8 as n is proportional to 6. therefore:
2.8/4.8 = n/6
0.583 = n/6
3.5 = n
can someone please help me! :)
The length of a rectangle is 5 ft longer than its width.
If the perimeter of the rectangle is 70 ft, find its length and width.
Answer:
Length 20
Width 15
Step-by-step explanation:
Slope of -7 includes point (3,p) and (2,2). What is the value of p?
Answer:
p = - 5
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
~~~~~~~~~~~~~
( 3 , p )
( 2 , 2 )
m = - 7
[tex]\frac{2-p}{2-3}[/tex] = - 7
2 - p = - 7 ( - 1 )
2 - p = 7
p = - 5
Wjejjejjsnsbbnxkskakksnsnsnznsmsnndndd
Answer:
whats
Step-by-step explanation:
[tex]\orange{\rule{40pt}{555555pt}} \green{\rule{40pt}{555555pt}} \blue{\rule{40pt}{555555pt}} \red{\rule{40pt}{555555pt}}\pink{\rule{40pt}{555555pt}}\yellow{\rule{40pt}{555555pt}}[/tex]
Pls answer the questions, I would really appreciate it, thx, :)
Answer:
7V
The average amount of minutes exercised on each day
Step-by-step explanation:
We are given that every day "V" amount of vegetables are eaten everyday.
If there are 7 days in a week then the amount of vegetables eaten in 1 week would be 7V
E = ( M + W + F ) / 3
M = # of minutes exercised on Monday
W = # of minutes exercised on Wednesday
F = # of minutes exercised on Friday.
Note that to find the average of something you find the sum of the values and divide that by the number of values.
The equation "E" is adding up the # of minutes exercised on Monday, Wednesday and Friday and dividing the sum of that by 3, which happens to be the number of values being added( those values being the # of minutes exercised on Monday, Wednesday and Friday) . So we can conclude that the equation E represents an average, more specifically the average # of minutes exercised on each day.
PLZ HELP ME D HOW J IT EHJ
can anyone please help me with this I am stuck on this
Answer: 7.2
Step-by-step explanation: u times 0.9 by 15, then separately u times 2.1 by 3. then u take both numbers and subtract.
Answer:
Step-by-step explanation:
0.9d - 2.1f = 0.9*15 - 2.1*3
= 13.5 - 6.3
= 7.2
