Answers
12. Correct
13. The answer is 75.
14. Correct
15. The answer is -3.
Hope I helped☺☺
Remember to follow PEMDAS and 'what you do to one side [ because of equal sign] you do to the other'
11) 3n - 8 = 4
3n - 8 (+8) = 4 (+8)
3n = 12
3n/3 = 12/3
n = 4
12) 2n - 3 = 9
2n - 3 (+3) = 9 (+3)
2n = 12
2n/2 = 12/2
n = 6
13) n/5 -4 = 11
n/5 - 4 (+4) = 11 (+4)
n/5 = 15
n/5(5) = 15(5)
n = 75
14) z/2 + 1 = 9
z/2 + 1 (-1) = 9 (-1)
z/2 = 8
z/2(2) = 8(2)
z = 16
15) 2y + 16 = 10
2y + 16 (-16) = 10 (-16)
2y = -6
2y/2 = -6/2
y = -3
16) 3n + 2 = 12
3n + 2 (-2) = 12 (-2)
3n = 10
3n/3 = 10/3
n = 10/3 or 3.33 (repeating)
hope this helps
Related Questions
j= -8c^2 - 4cd - d^2 k= -3c^2 +7cd - 3d^2 j+k =
Answers
k=-3c²+7cd-3d²
j+k=
-8c²-4cd-d²-3c²+7cd-3d²
-11c²-4d²+3cd
Which equation gives this number of 1/3 inches that are in 5/6 inch
Answers
This equation means that there are x amount of 1/3's that go into 5/6.
1/3 is equal to 2/6, and 2 x 2.5 = 5.
This means that x is equal to 2.5 and 1/3 goes into 5/6 2.5 times.
The correct answer is [tex]\frac{5}{6}[/tex] inch.
To find the number of 1/3 inches that are in 5/6 inch, we need to convert both fractions to have a common denominator and then divide the numerators.
[tex]\text{Step 1: Find the LCM of 3 and 6}[/tex]
[tex]\text{LCM}(3, 6) = 6[/tex]
[tex]\text{Step 2: Convert the fractions to equivalent fractions with the denominator of 6}[/tex]
[tex]\frac{1}{3} = \frac{2}{6}[/tex]
[tex]\frac{5}{6} = \frac{5}{6}[/tex]
[tex]\text{Step 3: Divide the numerators of the equivalent fractions}[/tex]
[tex]\frac{5}{6} \div \frac{2}{6} = \frac{5}{2} = 2.5[/tex]
Therefore, there are [tex]2.5[/tex] one-third inches in [tex]\frac{5}{6}[/tex] inch.
Caroline's bedroom is the shape of a rectangular prism that measures thirteen feet long, ten feet wide, and 9 feet high. What is the surface area of her room?
Answers
meaning
2 sides 13*10*2= 260
2 sides 13*9*2= 234
2 sides 9*10*2= 180
so then add all the areas up and you get 674 ft^2
PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)
Answers
I dont know if i am right tho. Hope this help ya.
What is the probability of rolling a die and getting a 4 twice in a row
Answers
The probability of getting a 4 twice in a row is [tex]\bold{\frac{1}{36} }[/tex]
What is probability?"It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
For given example,
When a die is rolled 3 times,
Total number of outcomes are,
[tex]\Rightarrow n(S) = 6^2\\\\ \Rightarrow n(S)= 36[/tex]
The probability of getting a 4 when a die is rolled is [tex]\frac{1}{6}[/tex]
[tex]\Rightarrow P(4)=\frac{1}{6}[/tex]
We want the probability of getting a 4 twice in a row.
So, the required probability is,
[tex]\Rightarrow P=P(4)\times P(4)\\\\\Rightarrow P=\frac{1}{6} \times \frac{1}{6}\\\\ \Rightarrow \bold{P=\frac{1}{36}}[/tex]
Therefore, the probability of getting a 4 twice in a row is [tex]\bold{\frac{1}{36} }[/tex]
Learn more about probability here:
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An orange has about 1/4 cup of juice. How many oranges are needed to make 2 1/2 cups of juice? Select all equations that represent this question. Plz answer!
Answers
Answer:
The answer is
D (2 1/2)/(1/4)
And 10
Oranges are needed to make 2 1/2 cups of juice
Step-by-step explanation:
From the given expression
We can solve the problem
If we state it out Mathematically
Step one
1 orange will give 1/4 cup of juice
x orange will give 2 1/2 cups of juice
Step two
By cross multiplication we have
x=( 2 1/2)/(1/4)
Let's convert the mixed fraction
2 1/2
to proper fraction we have 5/2
x=( 5/2)/(1/4)
x=5/2*4/1
x=20/2
x=10
What is the 5th term of the geometric sequence a1=120, a2=36, a3=10.8, a6=0.2916
Answers
A geometric sequence is given by terms a₁ = 120, a₂ = 36, a₃ = 10.8, a₆ = 0.2916.
The First term is given, a = 120.
Common ratio (r) would be ratio of second term to first term i.e.
[tex] r=\frac{a_{2}}{a_{1}} = \frac{36}{120} = 0.3 [/tex]
The formula for n-th term of geometric sequence is given by as follows :-
[tex] a_{n} =a*r^{n-1} [/tex]
It says to find 5th term of this given geometric sequence. For 5th term, n = 5.
[tex] a_{5} =120*(0.3)^{5-1} \\\\
a_{5} =120*(0.3)^{4} \\\\
a_{5} =120*(0.0081) \\\\
a_{5} =0.972 [/tex]
Hence, a₅ = 0.972 would be 5th term of the given geometric sequence.
Jimmy and his family are on their way to visit some family friends who live
780 miles away from them. Based on the route they chose, they expect to
complete their trip in three days. The distances and average speeds for the
first two days driven are shown below.
• First day: 4 hours at an average speed of 60 miles per hour
• Second day: 6 hours at an average speed of 65 miles per hour
If the average speed on the third day is 60 miles per hour, how many more
hours will it take for them to reach their family friends’ home?
Answers
If they drive an average of 60 miles per hour the last day it will take them 2.5 hours.
4 hours at 60 miles per hour = 4*60 = 240 miles6 hours at 65 miles per hour = 6*65 = 390 miles
This is a total of 630 miles. There are 780-630=150 miles left; if they average 60 miles per hour, that would be 150/60 = 2.5 hours.
Hope this helps!
Which of these geometric figures can intersect to form a cross section? Check all that apply. 1.a line and a prism 2.a line and a rectangle 3.a point and a prism 4.a prism and a horizontal plane 5.a vertical plane and a pyramid Check all that apply
Answers
So the right answers are 4 and 5.
Let's explain each case.
First. A prism and a horizontal plane
The representation of this statement is shown in Figure 1. A prism has the following characteristics:
1. These objects have identical ends.
2. They have flat faces.
3. They have the same cross section all along its length
So in the figure, you can see how the horizontal plane intersects the prism. The cross section of this object is a triangle. Thus, it has the same cross section all along its length and this object is called a triangular prism.
Second. A vertical plane and a pyramid
As shown in Figure 2 you can see the representation of this statement. If the pyramid is cut with a plane that passes through the top vertex and it is perpendicular to the base, then the intersection of this pyramid and the plane becomes a triangular cross section.
The geometric figures that intersect to form a cross-section are:
4. a prism and a horizontal plane 5. a vertical plane and a pyramidFor a cross-section to be formed, then the intersected figures must be a plane and a three-dimensional object.
From the list of given options, option (1) through (3) cannot be true;
This is so because: lines and points are not three-dimensional or planes
However, in options (4) and (5);
Vertical planes, horizontal planes and prism are planes or three-dimensional object.
Hence, the true options are (4) and (5)
Read more about three-dimensional objects at:
https://brainly.com/question/11346802
about what percent of the total area of hals backyard is the area taken up by the patio, walkway, and garden
Answers
This is the picture. Can you tell me the answer?
Two videos on viewtube.com were recently uploaded. One is a playful kitten video and the other is a laughing baby video. The kitten video had 101010 views in the first minute after it was uploaded, and the cumulative number of views increases by 505050 views each minute. The baby video had 333 views in the first minute after it was uploaded, and the cumulative number of views increases by a factor of approximately 3.53.53, point, 5 each minute. In which minute will the baby video's cumulative number of views first exceed the kitten video's cumulative number of views?
Answers
ANSWER IS 5 ;Notice that the kitten video's number of views grows linearly while the baby video's number of views grows exponentially.This means the baby video's number of views is bound to exceed the kitten video's number of views at some point.Let's start calculating each video's cumulative number of views to see when that happens.
Minute Kitten videoBaby video(Add 5 each minute.)(Multiply by 3.5, point, each minute.)In conclusion, the baby video's cumulative number of views will first exceed the kitten video's cumulative number of views in minute number 5.
Answer:
5
Step-by-step explanation:
A triangle has an area of 36 square feet. if the height of the triangle is 6 feet more than its base, what are the height and base.
Answers
in a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π4 radians. What is the arc length? Use 3.14 for π . Enter your answer as a decimal in the box. m
Answers
s=θr
s is the arc lenght of the arc.
θ is the central angle (θ= 7π^4 radians).
r is the radius of the arc (r=6 m).
2. When you substitute these values into the formula for calculate the arc lenght, you obtain:
s=θr
s=(7π^4 radians)(6 m)
s=(7(3.14)^4 radians)(6 m)
s=4082.89 m
What is the arc length?
The answer is:4082.89 m
Answer:
The correct answer is 32.97 m.
Step-by-step explanation:
Verified by correct test results.
Raj made this argument:
The Triangle Inequality Theorem states that if the lengths of three sides of a triangle are a, b, and c, then a + b > c. For this reason, since a, b, and c are all positive numbers, the square of a + b must be greater than the square of c. However, for a right triangle, the Pythagorean Theorem states that if the lengths of the legs are a and b, and if the length of the hypotenuse is c, then a2 + b2 = c2, not a2 + b2 > c2. Therefore, since the Pythagorean Theorem is known to be correct, and since right triangles should adhere to the Triangle Inequality Theorem, the Triangle Inequality Theorem must be incorrect.
What is wrong with Raj’s argument?
A) The square of a + b is not equal to a2 + b2.
B) One cannot assume that a, b, and c are all positive numbers.
C) It’s not true that right triangles should adhere to the Triangle Inequality Theorem.
D) It’s not true that according to the Triangle Inequality Theorem, a + b > c.
Answers
_____
(a +b)^2 = a^2 +b^2 +2ab, so is greater than a^2 +b^2 for a > 0, b > 0.
If k1/2 = integer and k1/4 = integer, which is a possible value for k?
Answers
Answer:
D: 81
Step-by-step explanation:
Did the usa test prep
What is a decimal in tenths that is less than 2.42 but greater than2.0
Answers
Which should be used to measure the length of a bookcase?
A.
thermometer
B.
tape measure
C.
clock
D.
scale
Answers
The correct answer to your question is option B.
If you wanted to measure the length of a bookcase, you would want to use a tape measure. A thermometer is used to check the temperature of something, a scale is used to check the weight of something, and a clock checks the time.
A scale, clock, and thermometer will not measure length.
Hope this helps you.
Have a great day!
The length of the minute hand is 200% of the length of the hour hand.
In 1 hour, how much farther does the tip of the minute hand move than the tip of the hour hand? Round your answer to the nearest hundredth.
Answers
So if the minute hand is double the length of the hour hand, than the diameter of the minute hand would also be doubled. Because the distance of circumference is a one dimensional measurement the tip of the minute hand would move double the tip of the hour hand.
You can test this with numbers if you have a 2 inch hour hand on a clock, it would travel 3.14×4 inches (12.56 in). If you had a 4 inch minute hand on a clock, it would travel 3.14×8 inches (25.12 in) which is double the distance.
A 4-inch minute hand would traverse 3.14 x 8 inches (25.12 in) on a clock, which is double the distance.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
The length of the minute hand is 200% of the length of the hour hand.
In 1 hour, the tip of the minute hand move then the tip of the hour hand will be
You may put this to the test with numbers. If you have a clock with a 2-inch hour hand, it will travel 3.14 x 4 inches (12.56 in).
A 4-inch minute hand would traverse 3.14 x 8 inches (25.12 in) on a clock, which is double the distance.
More about the circle link is given below.
https://brainly.com/question/11833983
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The graph shows a system consisting of a linear equation and a quadratic equation. What is the solution(s) to the system?
A (4,5) only
B (1,8) only
C (1,8) and (4,5)
D this system has no solution
Answers
Answer:
Option (C) is correct.
The solutions of the graph showing a system consisting of a linear equation and a quadratic equation are (1,8) and (4,5).
Step-by-step explanation:
Given : The graph showing a system consisting of a linear equation and a quadratic equation.
We have to find the solution(s) to the system.
Since , the solution(s) to the system are the points where the both linear equation and a quadratic equation intersect each other.
So from the graph given the linear equation intersect the quadratic equation at two points namely (1,8) and (4,5).
Thus, the solutions of the graph showing a system consisting of a linear equation and a quadratic equation are (1,8) and (4,5).
How do you find area like in this question I know already it’s d though I just need help figuring this out?
Answers
Area of whole: 10 * 6 = 60 cm²
Area of non shaded: 6 * 2 = 12 cm²
Area of shaded part:
60 - 12 = 48 cm²
Hope this helps :)
60 - 12 = 48. Sorry if it sounded confusing let me know if you need simplified, and I hope this helps.
The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Paint Color
Quarts of Red Paint Quarts of White Paint
4 20
5 25
7 35
8 40
Which statement is true about the ratio of red paint to white paint in the paint color?
it is 1:16
it is 16:1
it is 5:1
it is 1:5
Answers
Answer:
(04.02) The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Paint Color
Quarts of Red Paint Quarts of White Paint
4 20
5 25
7 35
8 40
Which statement is true about the ratio of red paint to white paint in the paint color?
It is 1:16.
It is 16:1.
It is 5:1.
It is 1:5. it is this one
Step-by-step explanation:
The ratio of quarts of red paint to quarts of white paint is 1:5. Therefore, option D is the correct answer.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
From the table,
The ratio of quarts of red paint to quarts of white paint is
4:20
= 1:5
5:25
= 1:5
7:35
= 1:5
8:40
= 1:5
The ratio of quarts of red paint to quarts of white paint is 1:5. Therefore, option D is the correct answer.
To learn more about the ratio visit:
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Anyone help me with this?
Answers
0.5 T = 1000 lb
1.25 T = 2500 lb
Jake's trailer can have a load of 5000 -2500 = 2500 lb. Since each horse is 1000 lb, Jake can only load 2 of them into the trailer and stay under his load limit.
Which graph represents the system of equations?
y=2x+1y=2x2+1
Answers
Graphing the system involves plotting points for both equations and identifying their intersections. The graph visually illustrates the simultaneous solutions to "y = 2x + 1" and "y = 2x^2 + 1.
Graphing the system of equations "y = 2x + 1" and "y = 2x^2 + 1" involves plotting points that satisfy both equations to identify their intersection. The first equation, "y = 2x + 1," represents a straight line with a slope of 2 and a y-intercept of 1. The second equation, "y = 2x^2 + 1," is a quadratic function, creating a parabolic curve.
To visualize their intersection, plot several points for each equation and observe where they coincide on the graph. For the linear equation, select x-values, calculate the corresponding y-values using the equation, and plot the points. For the quadratic equation, choose various x-values, calculate the corresponding y-values, and plot these points.
The intersection points on the graph represent solutions to both equations. Depending on the specific values chosen, the intersection may occur at one or more points.
The question probable may be:
Graph the following system of equations.
y=2x+1 y=2x^2+1
The two equations intersect at points (0, 1) and (1, 3).
Analyzing the Equations:
Equation 1: y = 2x + 1 represents a linear equation. This means the graph will be a straight line. The slope of the line is 2, and the y-intercept is 1.
Equation 2: y = 2x² + 1 represents a parabolic equation. This means the graph will be a U-shaped curve. Since the coefficient of the x² term (2) is positive, the parabola will open upwards. The y-intercept is also 1.
Identifying the Intersections:
To find the points of intersection, we can set the two equations equal to each other and solve for x:
2x + 1 = 2x² + 1
0 = 2x² - 2x
0 = 2x(x - 1)
The solutions are x = 0 and x = 1. We can then plug these x-values back into either equation to find the corresponding y-values:
y = 2(0) + 1 = 1 (for x = 0)
y = 2(1)² + 1 = 3 (for x = 1)
Therefore, the two equations intersect at points (0, 1) and (1, 3).
Complete and correct question:
Which graph represents the system of equations?
y=2x+1
y=2x²+1
The graph is attached below:
Identify the independent and dependent variables.
The equation A=25w gives the area A (in square feet) of a rectangular dance floor with a width of w feet.
The independent variable is
.
The dependent variable is
.
Answers
Dependent: Area
The area of the dance floor depends on its width.
The equation given is: A=25w
This equation gives the area A (in square feet) of a rectangular dance floor with a width of w feet.
As we can clearly see, the area of the rectangular dance floor is dependent on the value of the width,w. As we increase the width, w, the area, A increases and as we decrease, w, A too decreases.
Therefore, the independent variable is "w" and the dependent variable is "A".
The camp cook made 1 1/2 pints of baked beans. Each serving of beans is 3/10 of a pint. How many servings of beans did the cook make?
Simplify your answer and write it as a proper fraction or as a whole or mixed number.
Answers
number of servings = 5 servings
Explanation:
We are given that each serving is 3/10 of a pint. To know the number of servings of 1.5 pints, we will simply use cross multiplication as follows:
1 serving ....................> 3/10 pint
?? servings ................> 1.5 pints
number of servings = (1.5*1) / (3/10)
number of servings = 5 servings
Hope this helps :)
- The camp cook made 1 1/2 pints of baked beans.
- Each serving of beans is 3/10 of a pint.
2. Then, you can convert the mixed number (1 1/2) to fraction, as below:
1 1/2= ((1x2)+1)/2
1 1/2= 3/2
3. Now, you must divide 3/2 by 3/10, as below:
= 3/2÷3/10
=3x10/2x3
=30/6
=5
How many servings of beans did the cook make?
The answer is: The cook made 5 servings of beans.
Tyrone has calculated that his house is 352 yards away from school. How far is this in miles? (1 mile = 1760 yards)
A More than 0.75 miles
B Less than 0.25 miles
C Between 0.5 and 0.75 miles
D Between 0.25 and 0.5 miles
Answers
Actual distance is 20 mi
---------------------------------------
Flip the left and right side:
---------------------------------------
1760 yards = 1 mile
---------------------------------------
Find 1 yard
---------------------------------------
1 yard = 1/1760 miles
---------------------------------------
Find 352 yards
---------------------------------------
352 yards = 1/1760 x 352
352 yards = 0.2 miles
---------------------------------------
Answer: Less than 0.25 miles (Answer B)
---------------------------------------
Which inequality can be used to find how many $2.50 fruit packs can be purchased for $15.00? Use f to represent fruit snacks
Answers
The inequality that can be used to find how many $2.50 fruit packs can be purchased for $15.00 is 2.50f ≤ 15, where f represents the number of fruit packs. Therefore, you can purchase up to 6 fruit packs with $15.00.
Explanation:To find how many $2.50 fruit packs can be purchased for $15.00, we can use the inequality:
2.50f ≤ 15
where f represents the number of fruit packs.
To solve the inequality, we divide both sides by 2.50:
f ≤ 6
Therefore, you can purchase up to 6 fruit packs with $15.00.
Learn more about Inequality here:https://brainly.com/question/40505701
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An angle measures 45° what are the measures for the angles complement and supplement?
Answers
90-45=45
The angles measure for supplement can be found by subtracting the angle measure by 180
180-45=135
An offspring produced as a result of sexual reproduction is
A) similar but not identical to its parents
B) identical to its mother
C) completely unique and does not resemble its parents at all
D) identical to its father
Answers
Pam asked a bank teller to cash a check for $130. The teller gave Pam a total of 9 bills. She received $10 bills and $20 bills. How many of each type of bill did Pamela receive?