Answer:
1.6 to nearest tenth.
Step-by-step explanation:
This will be a line which is perpendicular to y = 3x + 5 and the line will also pass through the point (0,0).
Equation of that line:
Slope = -1/3 so we can write:
y - 0 = -1/3(x - 0)
So its y = -1/3 x,
The point where it intersects with the given line is now found:
-1/3x = 3x + 5
10/3 x = -5
x = -5 *3/10 = -1.5.
- and the y coordinate = 3(-1.5) + 5 = 0.5.
So the point is (-1.5, 0.5)
and the required distance = √((-1.5)^2 + 0.5^2)
= 1.58
= 1.6 to nearest tenth.
At the city museum, child admission is $5.20 and adult admission is $9.50. On Monday, 167 tickets were sold for a total sales of $1,255.40. How many child tickets were sold that day?
Answer: 77 children tickets were sold that day
Step-by-step explanation:
5.20x+9.50y=1255.40
x+y=167
5.20x+9.50(167-x)=1255.40
x+y=167 5.20x+1586.50-9.50x=1255.40
-x -x -4.30x+1586.50=1255.40
y=167-x -1586.50 -1586.50
-4.30x=-331.1
-4.30 -4.30
x=77
Jorge earns $12 an hour. deductions
for taxes and insurance take 25% of
his earnings. which equation could be
solved to find jorge's take-home pay, p,
after h hours of work?
Answer:
%25 of $12 an hour = 3
What is the value of s to the nearest whole number? 10 12 13 14
The value of s to the nearest whole number is 14. The correct option is the last option 14
TrigonometryFrom the question, we are to determine the value of s
Using the laws of cosines
a² = b² + c² -2bc Cos A
Then,
s² = 8² + 9² -2(8)(9) cos111°
s² = 64 + 81 - 144 cos111°
s² = 145 - (-51.605)
s² = 145 + 51.605
s² = √196.605
s = 14.0216
s ≅ 14
Hence, the value of s to the nearest whole number is 14. The correct option is the last option 14
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I’ll mark brainly if u answer this
Answer:
C) <AFL
Step-by-step explanation:
The middle angle typically goes in the middle of the three letters. So, the naming should look like <FAL or <LAF. The letter A would have to remain in the middle for the naming to be correct.
Angles can be named in these following ways:
- By three capital letters (vertex (middle point) always in the middle)
In this case it would be <FAL or <LAF.- By one capital letter (typically the vertex)
In this case it would be <A- By a lowercase letter or number that is in the middle of the angle
In this case it would be <5.Therefore, the incorrect naming would be C) <AFL, since the vertex isn't in the middle.
Hope this helps!! If you have questions please let me know in the comments!
THE DISTRIBUTIVE PROPETY
3(4+3r)
Answer:
12+9r
Step-by-step explanation:
3(4+3r) = 3*4+3*3r = 12+9r
The radius of a circle is 1 in. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answer:
The circumference is 6.3 in
The circumference of the circle is given by the equation C = 6.3 inches
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the circumference of the circle be represented as C
Now , the equation will be
Let the radius of the circle be r = 1 inch
Now , circumference of circle = 2πr
Substituting the values in the equation , we get
The circumference of the circle C = 2 ( 3.14159 ) x 1
On simplifying the equation , we get
The circumference of the circle C = 6.3 inches
Hence , the circumference of the circle is 6.3 inches
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Which is an equation of a direct proportion?
y= 1/2x – 2
y=3/x
y = -3x +4
y = -3x
Answer:
y = - 3x
Step-by-step explanation:
an equation involving direct proportion has the form
y = kx ← k is the constant of proportion
the only equation in this form is
y = - 3x ( with k = - 3 )
Factor −4 out of −24a−44.
Answer:
6a+11
Step-by-step explanation:
-24a-44/-4
=
6a+11
have a wonderful day :))
Answer:
-4(6a + 11)
-Step-by-step explanation:
−24a − 44 if −4 is factored out than...
-4 times ____ = -24a
-4x = -24 → divided both sides by -4
-4x / -4 = -24 / -4 → x = 6
-4 times 6 = -24a
-4 times ____ = -44
-4x = -44 → divided both sides by -4
-4x / -4 = -44 / -4 → x = 11
-4 times 11 = -44
combine: -4 x 6a - 4 x 11
A fish tank has 240240240 quarts of water. Levi adds another 120120120 quarts to the tank. How many gallons of water are in the fish tank? gallons
The 90 gallons of water is in the fish tank if the fish tank has 240 quarts of water. Levi adds another 120 quarts to the tank.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.
We have a fish tank has 240 quarts of water.
Levi adds another, 1201 quarts to the tank.
Total water in the tank = 240 + 120 = 360 quartz
To convert quartz to gallon, divide by 4
Total water in the tank = 360/4 = 90 gallons
Thus, the 90 gallons of water is in the fish tank if the fish tank has 240 quarts of water. Levi adds another 120 quarts to the tank.
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[tex]12\frac{1}{2}[/tex]% as a simple fraction is:
a)[tex]\frac{12}{100}[/tex]
b)[tex]\frac{1}{8}[/tex]
c)[tex]\frac{3}{25}[/tex]
d) 0.125
e) 12.5
Answer:
E. 12.5
Step-by-step explanation:
[tex](12 \times 2) + 1 = 25 \\ \frac{25}{2} [/tex]
Answer:
B
Step-by-step explanation:
25/2 = 12.5
so, 12.5 /100
= 1/8
Therefore b is the correcrt answer
which shape listen below will result from cross section b?
Answer: Ellipse
This cross section is not parallel to the circular base, so we get a stretched out circle of sorts. In other words, we get an ellipse.
Um Help please
Long time of Due[31st June]
Answer:
12
Step-by-step explanation:
This a Venn Diagram.....the shaded overlapping area is common to both sets.... it must be a multiple of 3 AND a multiple of 4
12 would work....Right?
Answer:
B. 12.
Step-by-step explanation:
The numbers that will go into the shaded area are those who are divisible by 3 and 4.
12 = (3*4)is the only one in the list.
I need help! Find the measure of the indicated angle to the nearest degree.
Seeing as this is a right triangle, we would solve for the unknown angle using a trigonometric function.
Remember! SOH-CAH-TOA
Looking from the unknown angle, we are given the adjacent side and the hypotenuse. Therefore, we should use the cosine function.
cos(?) = 17 / 19
---To find the unknown angle measure, you will need to use the inverse cosine function. This function is generally found by using the "2nd" button on your calculator and then pressing the cosine button. It should look like one of the following options: "cos^-1" or "arccos".
Make sure your calculator is in degrees, not radians!
cos^(-1) [17/`9]
26.52
---Round to the nearest degree per the instructions
Answer: 27 degrees
Hope this helps!
What is the equation of the line that passes through the point (2,5) and has a slope of 5?
- - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is the equation of the line that passes through the point (2, 5) and has a slope of 5?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
First let's write the equation of the line in point-slope form:-
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
Substitute 5 for y₁, 5 for m and 2 for x₁:-
[tex]\sf{y-5=5(x-2)}[/tex]
That's the equation of the line in Point-slope form.
Now let's convert it into slope-intercept:-
[tex]\sf{y-5=5x-10}[/tex]
Adding 5 to both sides results in our slope intercept equation, which looks like this:-
[tex]\dashrightarrow\bigstar\boxed{\boxed{\bold{\underline{y=5x-5}}}}\bigstar\dashleftarrow[/tex]
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
A teacher administers three different versions of a test to his students. The two-way table shows the results. Find each probability.
Part A. P(pass | Test A)
The probability is ___%
Part B. P(pass | Test A)
The probability is ___%
SHOW ALL WORK
The P(pass | Test A) is 31.81%, P(pass | Test B) is 29.87%, and P(pass | Test C) is 22.07%
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Part A:
Total number of students = 154
Total number of students passed the test = 49
The probability:
P(pass | Test A) = 49/154 = 31.81%
Part B:
Total number of students = 154
Total number of students passed the test = 46
The probability:
P(pass | Test B) = 46/154 = 29.87%
Similarly, for the probability:
P(pass | Test C) = 34/154 = 22.07%
Thus, the P(pass | Test A) is 31.81%, P(pass | Test B) is 29.87%, and P(pass | Test C) is 22.07%
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Combine the like terms to create an equivalent expression.
2q+2+92
Answer:
2q + 94
Step-by-step explanation:
2q + 2 + 92 ← collect like terms
= 2q + (2 + 92)
= 2q + 94
Answer:
2q + 94Step-by-step explanation:
2q + 2 + 92
Reorder and group
2q + (2 + 92)
Caculate
2q + 94
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PLEASE HELP WILL GIVE BRAINLEST!
Answer:
5[tex]\pi[/tex]/12 rad
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
75(π/180) = 5π/12 radians
arc length = central angle (2πr)
360
measure of the inscribed angle = 75º
measure of the central angle = 150º
arc length = 150 (2π1000)
360
arc length = (5/12)
Cathy places an ad in the neighborhood newsletter advertising her pet-sitting service. Her fees are listed in the table.
What will Cathy charge to pet sit for 8 days?
A. $67.50
B. $60.00
C. $52.50
D. $45.00
Answer:
B) $60.00
Explanation:
The cost for pet sitting per day (1 day) is $7.50
Then for 8 days, Cost = per day price × number of days = $7.50 × 8 = $60
∴ Cathy charge $60 to pet sit for 8 days.
Take two points
(2,15)(4,30)Slope
m=30-15/4-2m=15/2m=7.5Equation
y-15=7.5(x-2)y=7.5x-15+15y=7.5xSo for 8 days
y=7.5(8)$60.00The pole casts a 12-foot shadow when the sun is at a 40° angle of elevation. Which equation could Kim use to find x, the length of the pole?
Answer: Therefore the length of the pole in 10.1 foot (approx) .
Step-by-step explanation:
To proof
As given
The pole casts a 12-foot shadow when the sun is at a 40° angle of elevation.
x represented the length of pole .
As shown in the diagram
By using the trignometric identity
tan40° = 0.839099631 ( approx )
Put in the above
x = 12 × 0.839099631
x = 10.1 foot (approx)
Therefore the length of the pole in 10.1 foot (approx) .
Ruth’s credit card has an apr of 10.91%, and it computes finance charges using the previous balance method on a 30-day billing cycle. during the april billing cycle, she made a $45.17 payment on april 10th and a $88.34 purchase on april 17th. her total at the start of may was $847.64. what was her balance at the beginning of april? a. $890.91 b. $797.22 c. $796.87 d. $804.47
Based on the balance at the start of May and the purchases and payments made by Ruth, the balance at the beginning of April was b. $797.22.
What was the beginning balance in April?First find the monthly rate:
= 10.91% / 12
= 0.909%
The beginning balance is x:
May balance = (Beginning balance x (1 + monthy rate) + Purchases - Payments
847.64 = x × 1.00909 + 88.34 - 45.17
1.00909x = 847.64 - 88.34 + 45.17
x = $797.22
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Answer:
B on edge
Step-by-step explanation:
I need help on thiss
(4x−7)^2 +16=40x−70 into a equivalent equation.
The equivalent equation of the algebraic Equation (4x - 7)² + 16 = 40x - 70 is; p² + 16 - 10p = 0
How to simplify Algebraic Equations?
We want to simplify the algebraic Equation;
(4x - 7)² + 16 = 40x - 70
Factorize right hand side to get;
(4x - 7)² + 16 = 10(4x - 7)
If p = 4x - 7, then we have;
p² + 16 = 10p
Using subtraction property of equality gives;
p² + 16 - 10p = 10p - 10p
p² + 16 - 10p = 0
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Whats is the answer with procedure. n=18, n=9 or n= 3
Answer:
n = 3
Step-by-step explanation:
Isosceles means that the left and right sides (non-parallel sides) are equal to each other and so the base angles are also equal to each other. Then you can make an equation with the 8n^2-11 set equal to the 2n^2+7.
see image.
To solve it you have to set everything equal to zero (get all terms on one side of the equation) FACTOR (you end up with the difference of two squares) and solve, using zero product property. See image.
For any positive numbers a,b, and d, with b=1, logb a+logb d=
Answer the right answer is a
Label the X-axis and yaxis
Answer:
The y axis is the vertical line which goes up and down the x axis is the horizantal line which goes side to side or straight across
Step-by-step explanation:
Guys Please Help me Fast!!
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
multiply numerator and denominator of [tex]\frac{1}{4}[/tex] by 3
[tex]\frac{1}{4}[/tex] = [tex]\frac{3(1)}{3(4)}[/tex] = [tex]\frac{3}{12}[/tex]
the 2 fractions now have a common denominator of 12 and can be added
[tex]\frac{1}{4}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{3}{12}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex]
Theo, Nancy, and Mary each drove separately to meet at their grandmother’s house for dinner. Theo drove 50 miles, Nancy drove √2,840 miles, and Mary’s route is shown below.
A right triangle with side lengths 48 miles and 13 miles. The hypotenuse is labeled Mary's Route.
Approximately how many miles did Mary drive to her grandmother’s house?
Order the distances that each family member drove to their grandmother’s house from least to greatest.
Answer:
Mary's route = 49.73 miles
Step-by-step explanation:
[tex] {r}^{2} = {x}^{2} + {y}^{2} [/tex]
[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
[tex]r = \sqrt{ {48}^{2} + {13}^{2} } [/tex]
[tex]r = \sqrt{2473} [/tex]
[tex]r = 49.73 \: miles[/tex]
[tex] \sqrt{2840} = 53.3 \: miles[/tex]
Arranging the distances from least to greatest:#1: Mary's route = 49.73 miles
#2: Theo's route = 50 miles
#3: Nancy's route = 53.3 miles
Answer:
first is 49. 73; second Mary, Theo, Nancy
Step-by-step explanation:
I took the assignment on edge so yeah pleasure to help ^^
The midpoint of overline AB is M(2, -2) If the coordinates of A are (-2, 1), what are the coordinates of B?
Answer:
(6, -5)
Step-by-step explanation:
Midpoint :
(2, -2) = (x - 2 / 2, y + 1 / 2)Equations formed :
x - 2 / 2 = 2x - 2 = 4x = 62. y + 1 / 2 = -2
y + 1 = -4y = -5Coordinates of B : (x, y)
(6, -5)Write the number in 2 equivalent forms as a fraction, decimal, or percent. 22%
Decimal 0,22
fraction 22/100
Answer: 11/50 and 0,22
Step-by-step explanation:
*FRACTION* 22/100, then simplify 11/50.
*DECIMAL* 0,22 x 100 22
Alejandro was picked by this teacher to find the integer that has the square root closest to 7, without going over. he wrote 52 on the bored. was he correct? explain your reasoning.
Considering that the square root of 49 is 7, and 52 > 49, Alejandro was not correct, as the correct integer is of 48.
What is the integer that has the square root closest to n, without going over?The integer that has square root n is given by:
S(n) = n².
Hence the closest is given by:
C(n) = n² - 1.
In this problem, we have n = 7, hence:
C(7) = 7² - 1 = 48.
Which means that Alejandro was not correct.
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