4. For each equation, determine if =-2 is a solution. Explain or show your reasoning.
a) 10 = 2(x-9)
b) 3(x+4) = 2(x+3) + 4
Answers
Answer:
a. 14 b. -2
Step-by-step explanation:
a. 10=2x-18
28=2x ; x=14
b. 3x+12=2x+6+4
3x+12=2x+10
x=-2
Related Questions
)Maxine spent 15 hours doing her homework last week. This week she spent 18 hours doing homework. She says that she spent 120% more time doing homework this week. Is she correct? Show your work to justify your decision.
Answers
Answer:
No she isnt
Step-by-step explanation:
12.5% is for a hour, so if Maxine did 3 hours more than that would be (12.5x 3 ) 37.5%
PLZ HELP ITS DUE TODAY!!!!!!!
Problem 1: Over time, houses can sink slightly due to shifts in the soil below. One house was built with its ground at sea level, and over a period of 7 years, it sank to an elevation of -1 5/16 feet. How much change each year in elevation of house?
Answers
Answer:
-3/16 feet a year
Step-by-step explanation:
since we have a whole number 1 (5/16), we can turn this into an improper fraction 16(from the one) +5=21/16, since we know the number of years (7) we can divide 21 by the number of years. 21/7=3. So it went down 3 feet a year. Hope this helped!
What is the surface area of the cylinder represented by the net? Apply the formula SA = 2B + Ph. Use π as part of your answer.
Answers
Answer:
128π
Step-by-step explanation:
SA = 2B + Ph = 2πR² + 2πRh = 2π.16 + 2π.4.12 = 128π
A teacher was interested in the cafeteria food that students preferred in a particular school. She gathered data from a random sample of 200 students in the school and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for her data?
Stem-and-leaf plot
Line plot
Histogram
Box plot
Answers
Answer:
histogram would seeming be the best one please let me know if I got it wrong though
Answer:
Histogram
Step-by-step explanation:
A histogram is a bar graph that shows the frequency DATA values in the INTERVALS.
Modeling Real Life At a town hall meeting, 37/50 of the members are present. Of those who are present, 1/2 vote in favor of a new park. What fraction of the members do not vote in favor of the new park?
Fraction:_______
Answers
Answer:
17.5
Step-by-step explanation:
Half 37
Put into decimal
Answer:
Step-by-step explanation:
If 1/2 of the members who are present voted means, then the remaining half (1/2) didn't vote in favor of the new park.
Fraction of the members do not vote in favor of the new park = (1/2) of (37/50)
\(=\frac{37}{50}*\frac{1}{2}\\\\=\frac{37}{100}\\\)
Can anyone solve this?
Answers
25
then the triangles, 5 x 7 = 35, divided by 2. is 17.5
Since there are 4 triangles, we would take 17.5 x 4 which would be 70, then add that to the original 25.
95in is the answer.
In the diagram below, what is the ratio of unshaded parts to shaded parts?
4 shaded triangles and 12 unshaded triangles.
4 unshaded to 9 shaded
9 unshaded to 4 shaded
3 unshaded to 1 shaded
1 unshaded to 3 shaded
Answers
9514 1404 393
Answer:
(c) 3 unshaded to 1 shaded
Step-by-step explanation:
If your description of the diagram is correct that there are 12 unshaded and 4 shaded triangles, then the desired ratio is ...
unshaded : shaded = (12 unshaded) : (4 shaded) = 12 : 4 = 3 : 1
__
The ratio is reduced to lowest terms by dividing both numbers by the greatest common factor, 4. The order of parts of the ratio needs to match the requested order: unshaded to shaded. The given numbers are in reverse order, requiring that you actually read and understand the question.
Answer:
the answer is 3 unshaded to 1 shaded
Step-by-step explanation:
i took the exam i promise
What is the equation of the line shown in this graph?
Answers
The line has no slope because it is a flat horizontal line. It intercepts -3 on the y-axis.
Explanation: I got it right
Which of the following statements are true about the angles in the figure? Select all that apply.
∠X and ∠Z are vertical angles.
∠X and ∠Y are a linear pair.
∠W and ∠Z are supplementary.
∠Y and ∠Z are supplementary.
∠W and ∠X are adjacent.
Answers
Answer:
∠X and ∠Y are a linear pair.
∠W and ∠Z are supplementary.
Step-by-step explanation:
Supplementary angles are two angles that add up to 180°.
Linear pairs of angles are those two adjacent angles whose sum is 180°.
Which situation could this expression represent?
(9+6)÷3
A: Conrad has 9 marbles and loses 6 of them. Conrad divides the number of marbles left evenly among 3 friends. How many marbles does each friend get?
B :Barton divides 6 marbles evenly among 3 friends. Then Barton finds 9 more marbles. What is the total number of marbles that Barton has?
C:Stella has 9 marbles and then finds 6 more marbles. She divides the total number of marbles evenly among 3 friends. How many marbles does each friend get?
D:Lizzie collects 9 marbles for each of 6 months. Lizzie divides the total number of marbles evenly among 3 friends. How many marbles does each friend get?
Answers
Answer:
Answer is C because (9+6)÷3 = 5 and from option C u get the same answer
A triangular prism is attached to a rectangular prism as shown below.
If w = 8 inches, x = 5 inches, y = 20 inches, and z = 11.3 inches, what is the total surface area of the EXTERIOR FACES of the figure?
(Answer choices in picture!!) (I WILL GIVE BRAINLIEST)
Answers
Surface area of the triangular prism:
The triangular prism has two triangular faces and three rectangular faces.
The triangular faces have base (x) of 5 inches and height (y) of 20 inches. The surface area of each triangular face is (1/2) * base * height = (1/2) * 5 * 20 = 50 square inches.
The rectangular faces have dimensions (w, y, and z) of 8 inches, 20 inches, and 11.3 inches, respectively. The surface area of each rectangular face is length * width. Adding the surface areas of the three rectangular faces, we get: 2 * (w * y) + 2 * (w * z) + 2 * (y * z) = 2 * (8 * 20) + 2 * (8 * 11.3) + 2 * (20 * 11.3) = 320 + 180.8 + 452 = 952.8 square inches.
Surface area of the rectangular prism:
The rectangular prism has six rectangular faces.
The dimensions of the rectangular prism are (w, x, and y) of 8 inches, 5 inches, and 20 inches, respectively. The surface area of each rectangular face is length * width. Adding the surface areas of the six rectangular faces, we get: 2 * (w * x) + 2 * (w * y) + 2 * (x * y) = 2 * (8 * 5) + 2 * (8 * 20) + 2 * (5 * 20) = 80 + 320 + 200 = 600 square inches.
Total surface area of the exterior faces:
To find the total surface area of the exterior faces, we add the surface areas of the triangular prism and the rectangular prism: 50 + 952.8 + 600 = 1,602.8 square inches.
Therefore, the total surface area of the exterior faces of the figure is approximately 1,602.8 square inches. However, none of the given answer choices match this value. Please recheck the given dimensions or options provided.
what is the sum of the values less than 34?
Answers
Answer:
use any numbers that you can add and get 34
for example: 22+12
A bag contains:
5 red blocks
6 yellow blocks,
9 blue blocks.
What is the ratio of yellow blocks to total blocks?
1Points
A 14/6
B 14/20
C
6 to 20
D
6:14
Answers
Choose Yes or No to tell if 10' will make each equation true.
670 x (blank) = 67,000
(Blank) x 45 = 4,500
21 x ( blank) = 21,000
(Blank) x 903 = 903, 000 No
Answers
Answer:
ad
Step-by-step explanation:
ddda
Simplify the complex fraction 4/5 2/3 can someone pls help me:)
Answers
2/3 simplified is about 0.6666 you can round it up to 0.7
A company policy requires that, for every 50 employees, there must be 3 supervisors. If there are 264 supervisors at the company, how many employees does the company have?
Answers
Answer:
4,400
Step-by-step explanation:
264/3=88
88*50=4,400
ANSWER:4,400
The following scatter plot represents the relationship between a person's weight and the number of calories the person burns in one minute of jump roping.
Using the line of best fit, about what weight would a person be if they burned 15 calories per minute?
150 lbs.
180 lbs.
220 lbs.
125 lbs.
Answers
Answer:
They would be roughly 180 Ibs.
Ava is buying 30 baseball caps and pays a total of $240. Each cap costs the same amount. Determine whether the situation below represents a direct proportion, and justify your reasoning. If so, find the constant of proportionality.
Pls find the answer winter break is almost ending
Answers
90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you...
The answer is 8 so its a direct proportion
I think...
The constant of Proportionality is 8.
What is constant of Proportionality?If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.
Given:
Total Baseball Caps= 30
Total amount of Cap= $240
let the number of caps sold be c.
Then, the equation is
30 c= 240
and, c= 240/30
c= 8
Hence, the constant of Proportionality is 8.
Learn more about constant of Proportionality here:
https://brainly.com/question/29126727
#SPJ2
WILL GIVE THE BRAINLIEST IF CORRECT. PLEASE HELP THIS IS MY LAST CHANCE What did the king of England order in his Proclamation of 1763?
Responses
Colonists had to pay taxes to support the British during the French and Indian War.
Native American nations could not own land anywhere on the continent.
The colonies were required to elect a body of representatives that would meet with the king.
Colonists could only claim land east of the Appalachian Mountains.
Answers
Answer:
Colonists had to pay taxes to support the British during the French and Indian War.
Step-by-step explanation:
Thank you for giving me the chance to answer this question.
Please mark brainliest (I'm about to level up) thank you and have a good day! :)
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
I WILL MAYBE GIVE BRAINLIEST IF CORRECT PLS ANSWER
\(\sqrt{49 } =\)
a. 9
b. 14
c. 8
d. 7
Answers
Answer:
The answer is d
Step-by-step explanation:
cause 7 x 7 is 49
7 * 7 = 49
In a baseball tournament teams get 5 points for a win 3 points for a tie and 1 point for a loss. nathans team has 29 points.
a) use and organized list to show how many differnt combinations of wins,ties and losses nathans team could have.
b)what is the probability that nathans team had more losses than ties?
Answers
- 1 win: 24 losses or 22 losses and 1 tie or 20 losses and 2 ties or 18 losses and 3 ties or 16 losses and 4 ties or 14 losses and 5 ties or 12 losses and 6 ties or 10 losses and 7 ties or 8 losses and 8 ties or 6 losses and 9 ties or 4 losses and 10 ties or 2 losses and 11 ties or 13 ties
- 2 wins: 19 losses or 17 losses and 1 tie or 15 losses and 2 ties or 13 losses and 3 ties or 11 losses and 4 ties or 9 losses and 5 ties or 7 losses and 6 ties or 5 losses and 7 ties or 3 losses and 8 ties or 1 loss and 9 ties
- 3 wins: 14 losses or 12 losses and 1 tie or 10 losses and 2 ties or 8 losses and 3 ties or 6 losses and 4 ties or 4 losses and 5 ties or 2 losses and 6 ties or 7 ties
- 4 wins: 9 losses or 7 losses and 1 tie or 5 losses and 2 ties or 3 losses and 3 ties or 1 loss and 4 ties
- 5 wins: 4 losses or 2 losses and 1 tie or 1 loss and 2 ties
b) To find the probability that Nathan's team had more losses than ties, we need to count the number of combinations where the number of losses is greater than the number of ties. From the list above, we can see that there are 28 such combinations (all except the one with 13 ties). To find the probability, we need to divide the number of favorable outcomes by the total number of outcomes:
Probability = 28 / 64 = 0.44
So the probability that Nathan's team had more losses than ties is 0.44, or 44%.
A scuba diver is 15.5 feet below the surface of the water. If the diver continues to swim downward at a rate of 2.5 feet per second, what is her location, in feet, relative to the surface after 712 seconds? feet
Answers
The answers is: 33
33 is the integer that represents her location relative to the surface after 7 seconds.
And 33 feet far the diver have to go to return to the surface.
Step-by-step explanation:
Given:
A scuba diver is 15.5 feet below the surface of the water.
The diver continues to swim downward at a rate of 2.5 feet per second.
Now, to find the integer represents her location relative to the surface after 7 seconds.
And to find how far does the diver have to go to return to the surface.
So, to get the integer represents her location relative to the surface after 7 seconds.
Initial depth = 15.5 feet.
Distance traveled down = 7 × 2.5 = 17.5 feet.
Final depth of water surface = Initial depth + Distance traveled down.
Final depth of water surface = 15.5 feet + 17.5 feet.
Final depth of water surface = 33 feet.
Thus, 33 is the integer represents her location relative to the surface after 7 seconds.
Now, to get how far does the diver have to go to return to the surface:
As, the diver goes to 33 feet down to the surface.
Thus, the diver to return she have to go through the same distance.
So, to return to the surface she need to go to 33 feet far.
Therefore, 33 is the integer that represents her location relative to the surface after 7 seconds.
And 33 feet far the diver have to go to return to the surface.
Please help
Which of the options show a solution set that is true for the inequality below? Select all that apply.
Answers
Answer: The answer is choice B, C, and D
Step-by-step explanation:
Substitute the largest number in every set to see if it is a solution to the inequality.
What is the radius of a cylinder if it has a volume of 769.3 cubic meters and a height of 5 meters? (Use 3.14 for π.) 49 m 14 m 7 m 21 m
Answers
Answer:
7m
Step-by-step explanation:
v=πr^2h
769.3=3.14*r^2*5
769.3=15.7r^2
769.3/15.7=15.7r^2/15.7
49=r^2
√49=√r^2
√49=r
r=7m
Ralph wants to build a rectangular deck with a predefined area of 792 feet squared. One side of the deck will be 54 feet longer than the other. To find the side lengths, he first writes the equation (x)(x+54)=792 and later simplifies it to (x-12)(x+66)=0, where x is the length of the shorter side. Which of these are the side lengths, in feet, of the rectangular deck? Select all that apply. A. 42 B. 54 C. 12 D. 66 E. 120
Answers
Answer:
C.12 and D.66
Step-by-step explanation:
(12+54)(12)=792
66*12=792
7 was multiplied by a particular number. This product was added to 12, then divided by 10. The resulting quotient was -3. Give the initial number.
Answers
Answer:
-6
Step-by-step explanation:
we use X to try and find the number to which 7was multiplied
so it's 7x+12=-3
if you cross multiply you will get
7x+12=-3
10
7x+12=-30
-30-(-12)=-42
7x=-42
X=-6
44 PTS HELP ME PLEASE I NEED THIS ASAP ITS 6 PM IVE BEEN WORKING SINCE 11 AM Which properties were used to simplify the following expression? Select all that apply.
4 + 3(9 + 2)
4 + (3 × 9) + (3 × 2)
4 + 27 + 6
4 + 6 + 27
10 + 27
37
associative property of addition
identity property of addition
identity property of multiplication
associative property of multiplication
commutative property of multiplication
commutative property of addition
distributive property
Answers
- Distributive property of multiplication over addition: This property is used to expand the expression 3(9 + 2) into 3 × 9 + 3 × 2.
- Associative property of addition: This property is used to regroup the terms in the expression 4 + 27 + 6 as (4 + 6) + 27.
- Identity property of addition: This property is used to simplify the expression (4 + 6) to 10.
Therefore, the properties used to simplify the expression are distributive property of multiplication over addition, associative property of addition, and identity property of addition.
The answer choices that apply are:
- Distributive property
- Associative property of addition
- Identity property of addition
Help!!
Use the diagram of the equilateral triangle shown below to answer the following questions. Show the work that leads to your answers. a. What is the perimeter of the triangle? b. What is the height, ℎ mm, of the equilateral triangle? Write an exact answer using a square root and an approximate answer rounded to the tenths place.
Answers
Answer:
Perimeter is 12mm, height is \(2\sqrt3\)mm in simplest radical form, and 3.5mm in approximate decimal form.
Step-by-step explanation:
The perimeter is easy; since it's an equilateral triangle, all sides are the same length of 4, so you can just do 3*4 (3 sides, 4mm each) to get a perimeter of 12.
For the height, you can see that it forms two right triangles, each with a given base of 2 and a hypotenuse of 4. We can apply the pythagorean theorem (\(a^2+b^2=c^2\)) here to find the missing leg length of the smaller right triangles, which is equal to the big triangle's height.
I've enclosed an attachment for that.
Hope this helps!
A set of tiles, one of each of the 26 letters of the alphabet, are placed in a container. What is the probability of choosing first a vowel and then a consonant without replacing the first tile?
Answers
P(vowel)=5/26
P(Consonant)=20/25=4/5