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find the slope of each line
Answer:
17) [tex]- \frac{3}{2}[/tex]
18) [tex]\frac{5}{4}[/tex]
19) [tex]-\frac{1}{2}[/tex]
20) [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Slope intercept form: y = mx + b
y = (x , y)
x = (x , y)
slope = m
b = y-intercept
~
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
17) -4y + 16 = 6x
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 16 from both sides of the equation:
-4y + 16 (-16) = 6x (-16)
-4y = 6x- 16
Next, divide -4 from both sides of the equation:
(-4y)/-4 = (6x - 16)/-4
y = (6x)/-4 + (-16)/-4
y = -3x/2 + 4
Slope: [tex]-\frac{3}{2}[/tex]
~
18) 0 = -12y -36 + 15x
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 12y to both sides of the equation:
0 (+12y) = - 12y (+12y) + 15x - 36
12y = 15x - 36
Next, divide 12 from both sides of the equation to isolate the variable, y:
(12y)/12 = (15x - 36)/12
y = (5/4)x - 3
Slope: [tex]\frac{5}{4}[/tex]
~
19) 3x = -6y
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
Divide -6 from both sides of the equation:
(3x)/-6 = (-6y)/-6
y = 3x/-6
y = -(3/6)x
Simplify. Divide common factors from both the numerator and denominator.
-(3/6)/(3/3) = - 1/2
Slope: [tex]-\frac{1}{2}[/tex]
~
20) -2x -5 = -5y
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
Divide -5 from both sides of the equation:
(-2x - 5)/-5 = (-5y)/-5
y = (-2x - 5)/-5
y = (2/5)x + 1
Slope: [tex]\frac{2}{5}[/tex]
A school bought 5 copies of a textbook this week. The
school spent a total of $185 for the 5 copies. How much
did each copy of the textbook cost?
$37
B
$32
с
$306
D
$307
Answer:
A:37
Step-by-step explanation:
A school got 5 copies, and the total for ALL the copies is $185. So you need to take 185 and divide it by 5 because we need to find out how much each of the copies costs. If you do that then you will get the answer of $37 per copy
The price for each copy is $37 if the school bought 5 copies of a textbook this week the school spent a total of $185 on the 5 copies option (A) is correct.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
Number of copies school bought = 5
Price for 5 copies = $185
Let's assume the price for each copy = $x
So the value of x can be evaluated:
[tex]\rm x = \frac{185\times1}{5}[/tex]
x = $37
Thus, the price for each copy is $37 if the school bought 5 copies of a textbook this week the school spent a total of $185 on the 5 copies option (A) is correct.
Learn more about the fraction here:
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In the diagram, the measures of angle 3 and angle 6 are 50 degrees. The measure of angle 5 is 130 degrees. Are lines c and d parallel?
No, because angle 6 and angle 5 are not congruent.
No, because angle 3 and angle 5 are not supplementary.
Yes, because angle 3 and angle 6 are congruent.
Yes, because angle 5 and angle 6 are supplementary.
9514 1404 393
Answer:
(c) Yes, because angle 3 and angle 6 are congruent
Step-by-step explanation:
Angles 3 and 6 are "alternate interior" angles. When those angles are congruent, as these are, then the lines crossed by the transversal are parallel.
__
We expect angles 5 and 6 to be supplementary because they are a linear pair. That fact says nothing about the relationship of line d to line c.
Answer:
C) Yes, because angle 3 and angle 6 are congruent.
Step-by-step explanation:
A rectangle has an area of 226.1 square miles and a base of 13.3 miles. What is the height?
Answer:
The width (in our case it is the height) of the rectangle equals 17 miles
Step-by-step explanation:
In order to solve this, we need to know the following...
Area of a rectangle = Length x Width
(in our case based on what you said length is the base and width is the height)
Now we just change the formula to our needs and get that...
Width = Area of the rectangle / Length
And so we get...
Width = Area of the rectangle / Length
Width = 226.1 / 13.3
Width = 17 miles
Emily is entering a bicycle race for charity. Her mother pledges $0.30 for every 0.25 mile she bikes. If Emily bikes 8 miles, how much will her mother donate?
The figure shown is created by joining three rectangles. Enter the area of the figure, in square centimeters. Round to the nearest hundredth.
Answer:
46.75
Step-by-step explanation:
first, separate the floor into 3 different rectangles to calculate the area and then add them together.
area of rec=L*B
rec 1: 5.5*4=22
rec 2: (6.5-3)*(8.5-3-4)=5.25
rec 3:3*6.5=19.5
Then:
22+5.25+19.5=46.75
A moving truck states that it holds 300 cubic feet of boxes. The truck is 25 feet in length and 8 feet in height. What is the width of the moving truck?
whoever answer is correct get brainliest
Raj wants to get a tropical fish tank. The pet store owner tells him that he needs a tank that has a total volume equal to 80 ounces plus 4 ounces for each fish.
Which model shows two expressions for the total volume of the tank that will hold f fish?
Answer: it is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
What specific measure of a geometric figure is shown in the image?
O A 165 degree angle
O A 15 degree angle
O a 15 mm side length
a 180 mm side length
Answer:
15
Step-by-step explanation:
For function f(x), which condition implies a horizontal asymptote at y = 31?
Limit of f (x) as x approaches 31 = infinity
Limit of f (x) as x approaches infinity = 31
Limit of f (x) as x approaches 31 plus = infinity and Limit of f (x) as x approaches 31 minus = negative infinity
Limit of f (x) as x approaches c plus = 31 andLimit of f (x) as x approaches c minus = 31 for some value of c
Answer:
B.
Step-by-step explanation:
Answer:
b edge 2022
Step-by-step explanation:
Find the missing measure in the triangle with the given angle measures.
45°, 35°, xº
a. 90
b. 10
c. 280
d. 100
Answer:
d. 100
Step-by-step explanation:
According to angle sum property of a triangle;
45° + 35° + x° = 180°
80° + x° = 180°
x° = 180° - 80°
x° = 100°
A local elementary school claims that 59% of its students bring their own lunch on a daily
basis. The principal surveyed 100 students and found that only 48% bring their own lunch.
What does the test statistic calculation look like in this situation for an appropriate
hypothesis test? (4 points)
Answer:
[tex]z=\frac{0.48-0.59}{\sqrt{\frac{0.59(0.41)}{100}}}[/tex]
Step-by-step explanation:
The z score in terms of the null hypothesis and surveyed statistic is in the form [tex]z=\frac{\hat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}[/tex], (similar to [tex]z=\frac{x-\mu}{\sigma}[/tex]) where [tex]p_0[/tex] is the population parameter (in this case, 0.59) and [tex]\hat{p}[/tex] is the statistic (in this case, 0.48). Finally, [tex]n[/tex] is the sample size, 100. Substitute in your values, and you get the above answer.
The test statistic calculation look like in this situation for an appropriate hypothesis test is negative.
A local elementary school claims that 59% of its students bring their own lunch on a daily basis.
What is the z score in terms of the null hypothesis and surveyed statistic is in the form?The z score in terms of the null hypothesis and surveyed statistic is in the form,
[tex]\frac{P-P_0}{\sqrt{P_0(1-P_0)/n} }[/tex]
where [tex]p_0[/tex] is the population parameter (in this case, 0.59) and P is the statistic (in this case, 0.48)
Finally, is n the sample size, 100.
Substitute in your values, and you get the above answer,
[tex]Z=\frac{0.40-0.59}{\sqrt{\frac{0.59(0.41}{100} } }\\ \\=-3.8630[/tex]
The test statistic calculation look like in this situation for an appropriate hypothesis test is negative.
To learn more about the static calculation visit:
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Which three test points could be used to draw the graph of the solutions to
X^2+2x-1=0?
Answer: x=-1+2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Subtract 2x from both sides of the equation.
X2-1=−2x
Add 1 to both sides of the equation.
X2=−2x+1
Take the square root of both sides of the equation to eliminate the exponent on the left side.
X=±√−2x-1
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
X=√−2x+1
Next, use the negative value of the ± to find the second solution.
X=−√−2x+1
The complete solution is the result of both the positive and negative portions of the solution.
X=√−2x+1
X=−√−2x+1
What is the value of w in the equation w + 95 = 116
Step-by-step explanation:
w+95=116w=116-95w=21hope it helps.
stay safe healthy and happy.Answer:
w=21
Step-by-step explanation:
Check the image for the steps.
Write an expression to represent the sum of three times the square of a number and -7.
In your expression, what is the value of the constant?
OA. 3
OB. 1
OC. 2
D.-7
Does a triangle with these side lengths exist?
28, 41, 13
Answer:
No
Step-by-step explanation:
it doesnt add up to 180 degrees
Use the triangle inequality theorem.
Add two sides together and see if it is greater than the length of the 3rd side:
28 + 41 = 69 which is greater than 13
41 + 13 = 54 which is greater than 28
28 + 13 = 41 this is equal to the 3rd side length of 41 and not greater than 41
Because 28 + 13 is not greater than 41 those 3 lengths cannot make a triangle.
Can someone help me on this?
Answer:
<2=107
Step-by-step explanation:
Alternate interior angles are congruent they have equal measure
pls help fast ahhhhhhh
Please help I will give brainilest
4.2+7/20=420/100+BLANK/100
Answer:
4.2=420/100
4.2-4.2=0
7/20=x/100
x=5×7=35
4 3/8 + 5 1/8 = (make sure you simplify the fraction)
Answer:
9 and 1/2
Step-by-step explanation:
4+5=9
3/8+1/8=4/8
4/8=1/2
1/2+9=9 1/2
Answer:
the answer would be 9 1/2
F 2,826 m2
CONSTRUCTED RESPONSE
9. A wheel has a radius of 9 inches and
travels as it spins. How far does the
wheel travel in one revolution? Show your
work. Use 3.14 for n and round to the
nearest inch,
Answer:
57inches
Step-by-step explanation:
In order to determine how far the wheel travels, we will have to find the circumference of the wheel. This is expressed as;
Circumference of the wheel = 2πr
r is the radius of the wheel = 9in
Substitute
Circumference of the wheel = 2(3.14)(9)
Circumference of the wheel = 56.52inches
Hence the wheel travels 57inches to the nearest inch
For his phone service, Dan pays a monthly fee of $23, and he pays an additional $0.05 per minute of use. The least he has been charged in a month is $88.65.
What are the possible numbers of minutes he has used his phone in a month?
Use m for the number of minutes, and solve your inequality for m.
Answer:
23+0.05m=88.65
Step-by-step explanation:
0.05m=65.65
m=1,313
i think this is right, I am sorry if it is wrong...
Draw the image of a triangle with vertices (2, 1), (3, 3), and (5, 1). Then perform the
following transformation: a 180° clockwise rotation about the origin.
Answer:
It would be B
Step-by-step explanation:
A rectangular prism is 5 inches long and 10 inches wide. Its volume is 500 cubic inches. What is the height of the rectangular prism?
Answer:
10
Step-by-step explanation:
5 x 10 = 50
500 divided by 50 = 10
H=10
what is the decimal 36/100
Answer: 0.36
Step-by-step explanation:
Find the the measure of angle 6
Answer:
∠6 = 61°
Step-by-step explanation:
In order to solve this, you need to know what "vertical angels" are. Based on the fact that the angle that is 61° and angle 6 make a pair of vertical angles, we know that both of these angles are equal to each, therefore ∠6 = 61°.
Find the angle measures in the regular polygon.
A) 720*
B) 140*
C) 135*
D) 360*
Please help!!
the angle measures in the regular polygon is B)140
A circle has a radius of 4 cm. What is the area rounded to the tenths place? (Use 3.14 for pi.) 12.6 cm squared
25.1 cm squared
50.2 cm squared
201.0 cm squared
Answer:
20.2
Step-by-step explanation:
have a nice day!!
The value of which of these expressions is closest to e ?
Answer: B.
Step-by-step explanation: took the quiz.