let x =the number
Step-by-step explanation:
81+x=3x-39
group like terms
81+39=3x-x
120=2x
120/2=2x/2
60=x
therefore x =60
Answer:
60
Step-by-step explanation:
number is represented as x.
81 is added to a number is
81 + x
39 less than three times the number
3x - 39
So
81 + x = 3x - 39
Solve for x.
81 + x = 3x - 39 Add 39 to each side so 39 cancels on the right.
81 + x + 39 = 3x - 39 + 39
81 + x + 39 = 3x
81 + 39 + x = 3x
120 + x = 3x Subtract x from each side.
120 + x - x = 3x - x
120 = 3x - x
120 = 2x Divide each side by 2
120/2 = 2x/2
120/2 = x
60 = x
point and slope of the equation y - 8 = 4(x + 3)?
The slope and point of y-intercept is;
Slope = 4
Point of intercept = (0, 20)
We are given the equation;
y - 8 = 4(x + 3)
Now, the slope intercept form of the equation of a line is;
y = mx + c
where;
m is slope
c is y-intercept
x is value on the x-axis
y is value on the y-axis
Let us simplify our equation to the slope-intercept form;
y - 8 = 4(x + 3)
Expanding the bracket using distributive property gives;
y - 8 = 4x + 12
Using addition property of equality gives;
y - 8 + 8 = 4x + 12 + 8
y = 4x + 20
Comparing our result with y = mx + c,
m = 4 and c = 20
c is y-intercept which is value of y when x = 0.
Thus, intercept point is (0, 20)
Read more at; https://brainly.com/question/20365390
Activity IB. FIND ME!
Find the area of each circle. Use = 3.14
3.
1.
2.
om
13cm
19in.
5.
33cm
25cm
yan paki sagot
What is £8.19 minus 10%
Answer:
7.391
Step-by-step explanation:
Find 10% of 8.19
8.19*10%
8.19 *.10
.819
Subtract this from 8.19
8.19-.819
7.391
is this an example of direct variation? f(x)=2xy
Answer:
Yes, it is:
Step-by-step explanation:
Given
[tex]f(x) =2xy[/tex]
Required
Determine if it is a direct variation
A direct variation is represented as:
[tex]f(x)\ \alpha\ x[/tex]
Express as equation
[tex]f(x) = kx[/tex]
Compare [tex]f(x) = kx[/tex] to [tex]f(x) =2xy[/tex]
[tex]k = 2y[/tex]
Hence, it is a direct variation
Set up an algebraic equation that could represent the following situation:
Nkateko sells bananas at the low but fixed price of R3/kg. In order to ensure that she makes a reasonable profit, she adds a certain fixed amount of money to any quantity of bananas purchased. A customer who bought 4 kg of bananas was observed paying R14.
Answer:
The profit for any purchased of bananas is R2.
Step-by-step explanation:
Cost of 1 kg banana = R 3
Banana purchased = 4 kg
So, the cost of 4 kg bananas = 4 x 3 = R 12
Amount paid = R 14
Profit = R 14 - R 12 = R 2
So, the profit on any purchased of bananas is R 2.
How many vertices dose the following shape have?
Answer:
If you have more than one vertex they are called vertices. You can also count the number of vertices in order to identify solid figures. Let's look at an example. When you count the number of vertices in the figure above you see there are 7 vertices.
A sum of money is divided in the ratio 3:5:9.calculate the smallest share given the largest share is 108
Answer:
36
Step-by-step explanation:
largest share = 9parts = 108
1 part = 108÷9 = 12
smallest share = 3parts = 12×3 = 36
Solve the system algebraically. Check your work. 5x + 2y = 10 3x + 2y = 6 ANSWER: {( D]
Answer:
x=2, y=0
Step-by-step explanation:
[tex]5x + 2y = 10\\3x + 2y = 6 \\5x-3x+2y-2y=10-6\\2x=4\\x=2\\3(2)+2y=6\\2y=6-6=0\\y=0[/tex]
Why is triangle called an obtuse triangle?
a. It has zero obtuse angles
b. It has 2 obtuse angles
c. It has 1 obtuse angle
d. It has 3 obtuse angles
Which is NOT a polygon?
a. A break
b. A donut
c. A window
d. A stop sign
What do you call a polygon with equal side lengths and angle measures?
a. Vertex
b. Nonconvex
c. Irregular polygon
d. Regular polygon
Tell whether the figure at the right is a polygon. If it is, name it by the number of sides.
a. Not a polygon
b. Polygon - hexagon
c. Polygon - pentagon
d. Polygon - convex
If all the sides and angles in a parallelogram are equal then, which shape is it?
a. Rectangle
b. Triangle
c. Square
d. Rhombus
What do you call a polygon that is both equilateral and equiangular?
a. Segment
b. Irregular polygon
c. Regular polygon
d. Vertices
Which is not represented by the figure shown below?
a. Polygon
b. Parallelogram
c. Quadrilateral
d. Rectangle
How many diagonals must pass outside the figure to classify a polygon as nonconvex?
a. Zero
b. At least one
c. At least two
d. All of them
Which best describes the polygon below?
a. A regular hexagon
b. A convex hexagon
c. An arrow
d. A nonconvex hexagon
Tell whether the figure below is a polygon. If it is, name it by the number of sides.
a. Not a polygon
b. Polygon - octagon
c. Polygon - hexagon
d. Polygon - nonconvex
Answer:
An obtuse angle is an angle that measures
more than 90 degrees and less than 180
degrees.
Answer:
answers in explanation...
Step-by-step explanation:
1. is C it has 1 obtuse angle
2. b. a donut is not a polygon. ( bricks,windows,and stop signs are polygons)
3. d. a regular polygon.
4. ( i cannot do without the image)
5. a. rectangle
6.c. a regular polgony
7.(cannot do without image)
8.b. at least one
9.(cannot do without image)
10. ( cannot do wihtout image)
what is the most $ that you can get out of a ATM?
Answer:
$200
Step-by-step explanation:
Answer:
I think it is 200$
Step-by-step explanation:
2. A set of data consists of the number of years that applicants for foreign service
jobs have studied German and the grades that they received on a proficiency test.
The following regression equation is obtained: = 31.6 + 10.9x, where x represents
the number of years of study and y represents the grade on the test.
a. Identify the predictor and response variables.
b. Interpret the regression equation by interpreting the y-intercept and slope.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the regression equation :
y = 31.6 + 10.9x
x = the number of years of study ;
y = the grade on the test.
The predicted is y which is also the same as the response variable, hence, the response variable is grade on the test
The predictor variable is x, which is the independent variable, which is the number of years of study.
From. The regression output given ;
The slope which is the Coefficient of the predictor variable is 10.9 which means that for every unit change in number of years of study, the grade on test increases by 10.9
The intercept which is the constant value, 31.6, means, the least a person can get in the get in grade is 31.6 (at x = 0)
For students who first enrolled in a two year public institution in 2013, the proportion who earned a bachelor's degree in six years was 0.236. The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.
(a) Determine the null and alternative hypotheses.
(b) Explain what it would mean to make a Type I error.
(c) Explain what it would mean to make a Type II error.
Answer:
H0 : p = 0.236
H1 : p > 0.236
Type 1 error is committed by incorrectly rejecting a true null hypothesis
Type 11 error is committed by incorrectly accepting a false null
Step-by-step explanation:
The null and alternative hypothesis :
H0 : p = 0.236
H1 : p > 0.236
A type 1 error is made when a null hypothesis is incorrectly rejected, Hence in this scenario, a type 1 error will be committed of we conclude that the proportion who earned bachelor's degree is more Than 0.236 when the actual proportion not more than but equal to 0.236
A type 11 error is committed when we fail to reject a false null hypothesis. This means that if the actual proportion who earned a bachelor's degree is more than 0.236 and we fail to reject the null which says the proportion is not more than 0.236
A personnel officer in a governmental agency administered four newly de- veloped aptitude tests to each of 25 applicants for entry-level clerical positions in the agency. For purpose of the study, all 25 applicants were accepted for positions irrespective of their test scores. After a probationary period, each applicant was rated for proficiency on the job. The scores on the four tests (Xi, X2. Xs, X4) and the job proficiency score (Y) for the 25 employees were as follows:
Subject Test Score Job Proficiency
Y
88
80
96
76
80
73
58
116
104
99
64
126
94
71
111
109
100
127
99
82
67
109
78
115
83 X1
86
62
110
101
100
78
120
105
112
120
87
133
140
84
106
109
104
150
98
120
74
96
104
94
91 X2
110
97
107
117
101
85
77
122
119
89
81
120
121
113
102
129
83
118
125
94
121
114
73
121
129 X3
100
99
103
93
95
95
80
116
106
105
90
113
96
98
109
102
100
107
108
95
91
114
93
115
97 X4
87
100
103
95
88
84
74
102
105
97
88
108
89
78
109
108
102
110
95
90
85
103
80
104
83
Answer:
Following are the solution to these question:
Step-by-step explanation:
Please find the complete question in the attached file.[tex]\text{Stem and leaf plot}\\\\\text{Stem-and-Leaf Display:}\ \ x_1\\\\\text{Stem-and-leaf of} \ \ x_1 \ N = 25\\\\[/tex]
[tex]1 6 2\\3 7 4 8\\6 8 4 6 7\\10 9 1 4 6 8\\(7) 10 0 1 4 4 5 6 9\\8 11 0 2\\6 12 0 0 0\\3 13 3\\2 14 0\\1 15 0\\[/tex]
[tex]\text{Stem-and-Leaf Display:}\ \ x_2\\\\\text{Stem-and-leaf of} \ \ x_2 \ N = 25\\\\[/tex]
[tex]1 7 3\\2 7 7\\4 8 1 3\\6 8 5 9\\7 9 4\\8 9 7\\10 10 1 2\\11 10 7\\(3) 11 0 3 4\\11 11 7 8 9\\8 12 0 1 1 1 2\\3 12 5 9 9\\[/tex]
[tex]\text{Stem-and-leaf of} \ \ x_3 \ N = 25[/tex]
[tex]1 8 01 85 9 0 1 3 312 9 5 5 5 6 7 8 9(4) 10 0 0 2 39 10 5 6 7 8 94 11 3 42 11 5 6[/tex]
[tex]\text{Stem-and-leaf of} \ \ x_4 \ N = 25[/tex]
[tex]1 7 42 7 85 8 0 3 410 8 5 7 8 8 911 9 0(3) 9 5 5 711 10 0 2 2 3 3 45 10 5 8 8 91 11 0[/tex]
Hi I needed help with my math homework. can you please help :| .....
Question: c - 1.3 = 6
Answer:
7.3
Step-by-step explanation:
c- 1.3 = 6
c = 6 + 1.3
c = 7.3
nay it helped u
Help pleaseeeee will give brainliest
Answer:
q.12
angle ACB=180-123
therefore ACB=57
again 5x-15+7x+6+57=180
or,12x+48=180
or,x=132/12
or x=11
Write the slope-intercept form of the equation of the line through the point (-1,-4) with the slope of 6.
Answer:
y-y1=m(x-x1)
y+4=6(x+1)
y=6x+2
Paul rides his bike for 2 hours at a constant rate of 20 mph. He then bikes for 3 hours at a constant rate of 25 mph. How far did Paul travel in the 5 hours?
A. 15 mi.
B. 52 mi.
C. 115 mi.
D. 165 mi.
Which expression give the best estimate of 45 percent of 76
Answer:
a. One-fourth (80)
b. One-fifth (80)
c. One-half (80)
d. One-ninth (80)
the answer is C.
Step-by-step explanation:
Estimate .45 to .50 which is 1/2
= 1/2 (80)
hope this helps!
Please Help me! I am giving 100 Points!
This is BEDMAS. B= BRACKETS E= EXPONENTS D= DIVIDE M=MULTIPLY A= ADD S= SUBTRACT. Do them in order.
1=
Answer:
Step-by-step explanation:
3) (15/3)^2+14+6+3^2
=5^2+14+6+3^2
=25+14+6+3^2
=25+20+3^2
=25+20+9
=25+29
=54
Answer:
3. 54
4. -524
5. 59
8. 60
9. 78
10. 61
Step-by-step explanation:
3. (15 / 3)^2 + ((14 + 6) + 3^2)
(5)^2 + ((20) + 9)
25 + 29 = 54
4. ((11 + 2) - (24 / 2)^2) x 2^2
((13) - (12)^2) x 4
(13 - 144) x 4
-131 x 4 = -524
5. ((4 + 3)^2 + 6) - 5 + 3^2
(7^2 + 6) - 5 + 9
(49 + 6) - 5 + 9
55 - 5 + 9
50 + 9 = 59
8. (6^2 + (24 / 3 + 5^2)) - 3^2
(36 + (8 + 25)) - 9
(36 + 33) - 9
69 - 9 = 60
9. ((10 - 4)^2 x 2) + 2 + 2^2
(6^2 x 2) + 2 + 4
(36 x 2) + 2 + 4
72 + 2 + 4 = 78
10. (7^2 + (16 / 8 + 2^2)) + 3^2
(49 + (2 + 4)) + 9
(49 + 6) + 9
55 + 9 = 61
During a sale, a store offered a 15% discount on a couch that originally sold
for $800. After the sale, the discounted price of the couch was marked up by
15%. What was the price of the couch after the markup? Round to the nearest
cent.
Answer:
t think the answer is 1040.
Determine the domain of the following relation:
{(1, -1), (2,5),(4, 10), (9,23), (12,33), (4, 10)}
HELP PLEASE ... For questions 10 - 11, use the table to answer the questions. It is set up to multiply
two polynomials.
x3
- 2x2
5
3x
8
10. What is the coefficient of the x3-term
of the product?
11. What is the coefficient of the x2-term
of the product?
Answer:
Step-by-step explanation:
10. [tex]8x^{3} - 6x^{3}[/tex]
[tex]2x^{3}[/tex]
coeff= 2
11. [tex]-16x^{2}[/tex]
coeff= -16
Help me out plssssss and thanks !!!!!!!
Answer:
arc AB = 142
Step-by-step explanation:
The angle of AB is 180 -38 = 142
The arc is the same measure since the angle is a central angle
arc AB = 142
find the missing angle measures by examining the angle relationships first
m
m
m
∠ b = 43° — — { Vertical opp. angles]
Now, see 43 and a are together compromising the linear pair so,
= 43 + a = 180°
= a = 180 - 43
= a = 137
Like b, similarly here also a = c = 137° {Vertical opp. angles}
Please help me with this problem
Question: 5d - 6 + 8 -3d = 12
Answer:
d=5
Step-by-step explanation:
Answer:
d=5
Step-by-step explanation:combine like terms and subtract numbers from left side.
How many 3 digits positive integers exist that when divided by 7 leave a remainder of 0
Answer:
128 numbers are divisible by 7 that leave remainder 0
Answer:
128
Step-by-step explanation:
Let's find the first 3 digit number divisible by 7.
7(12)=84
7(13)=91
7(14)=98
7(15)=105
So our first 3 digit number divisible by 7 is 105.
Let's figure out the last 3 digit number divisible by 7.
7(200)=1400
Skip a lot
7(150)=1050
Skip a little more
7(140)=980
Skipped too much
7(145)=1015
7(144)=1008
7(143)=1001
7(142)=994
So there are 142-15+1 multiples of 7 that are 3 digits long.
142-15+1
142-14
128
Determine the values of x where the function f(x) is not continuous.
{1/3x + 5 x<= 3
x+ 2 x >3
Answer:
13x=5
Step-by-step explanation:
sus 20 crequired udbshs
Find the Area Please!
Surface area: 105.97
Base area: 36
Hope it helps...
2 +2 pls give me the answer
Answer:
4
Step-by-step explanation:
2+2=4
By the distributive law, 49 * 17 + 49 * 3 =
Answer:
980
hope it helps