All statements are true, but if you try to reverse them they won't necessarily be true.
let us start
Square ⇒ Has 4 sides
But if something has 4 sides it doesn't mean it's a square (example: rectangle)
Angle is 80° ⇒ acute angle
But acute angle is any angle below 90°, not just 80° so the reverse isn't true.
x – 17 = 4 ⇒ x = 21
And if we reverse
x = 21 ⇒ x – 17 = 4
we see that it's true for either direction.
x = 7 ⇒ |x| = 7
But |x| = 7 doesn't mean that x has to be 7, x can also be -7, so the reverse isn't true.
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Point R is on line segment QS. Given QR = 4, QS = 4x, and RS = 5x – 9,
determine the numerical length of RS.
Answer: RS
The numerical length of RS is 16.
Given, Point R is on line segment QS.
A line segment in geometry has two different points on it that define its boundaries. A stretch of a line that connects two locations is frequently referred to as a line segment. A line has no ends and can continue indefinitely in either direction, which is how it differs from a line segment.
QR = 4 , QS = 4x and RS = 5x ₋ 9
we know that, QS ₊ RS = QR
⇒ RS = QR ₋ QS
⇒ 5x ₋ 9 = 4x ₋ 4
unknown items move to the left of the equal sign and known items move to the right of the equal sign.
5x ₋ 4x = 9 ₋ 4
x = 5
therefore, RS = 5x ₋ 9
= 5(5) ₋ 9
= 25 ₋ 9
= 16
hence we get the length of RS as 16.
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At what point do the curves r1 = < t, 4 - t, 12 + t2 > and r2 = < 6 - s, s - 2, s2 > intersect?
To calculate the intersection point equate the pair of components to each other. The equations can be rewritten as:
[tex]t = 6 - s; \\ 4 - t = s - 2 ; \\ 12+t^{2} =s^{2};[/tex]
Simplifying the above three equations by substituting the value of “[tex]t = 6 - s[/tex]” in the last equation.
Therefore,
[tex]12+(6 - s)^{2} = s^{2} \\ 12s =60\\ s=5[/tex]
Now, substitute the value of "s" and calculate the value of "t".
Therefore,
[tex]t = 6-s\\ t=1[/tex]
Substituting the value of [tex]s = 5; t= 1[/tex] in all the three equations we get intersect points as [tex](1,1,25).[/tex]
What are the intersecting lines?
When two or more lines cross each other then it is called intersecting lines. The intersecting lines meet at a single point which is known as a point of intersection.
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PLEASE HELP ASAP! WILL MARK BRAINLEST
Answer:
The first one is x=3y-5
The second one is y/2 + 3
Step-by-step explanation:
For the first one you have to switch sides
X-3=3y-8
X - 3=3y-8
Then you add three to both sides
X-3+3=3y-8+3
Then simplify
X=3y-5
For the second one
you switch sides then add 5 to both sides then simplify
2x-5+5=y+1+5
Y/2 +3 or
Y+6 /2
a baker in 70 minutes iced 40 cupcakes and in 49 minutes iced 28 cupcakes what is the constant of proportionaltiy
Answer:
Constant of proportionality k = 7/4 if we take the proportionality relationship as ... number of minutes ∝ number of cupcakes Bor
number of minutes = k . (number of cupcakes)
Step-by-step explanation:
If a variable x is directly proportional to another variable y indicated by
x ∝ y
Then x = k.y where k is the constant of proportionality
Letting x be the number of cupcakes and y the number of minutes
number of cupcakes = k . (number of minutes)
k = (number of minutes) / (number of cupcakes )
Here k, the constant of proportionality tells you how many many minutes it takes to ice 1 cupcake
For 40 cupcakes it takes 70 minutes. So k = 70/40 = 7/4
For 28 cupcakes it takes 49 minutes so for 1 cupcake it takes 49/28 = 7/4 so again that is the constant of proportionality
k = 7/4 given that number of minutes ∝ number of cupcakes
=> number of minutes = k. number of cupcakes
Note if we had x = number of cupcakes and y = number of minutes then k = 4/7 which is the number of cupcakes that can be iced in 1 minute
So one has to be careful to state what is proportional to what
(2-y)(3y+8)=0 solve
Answer:
y = 2
y = - 8/3
Step-by-step explanation:
Sdj, inc., has net working capital of $2,170, current liabilities of $4,590, and inventory of $3,860. what is the current ratio? what is the quick ratio?
According to the given data the quick ratio is equal to Quick Assets/Current Liabilities (2900/4590) which is 0.632.
What is inventory?The notion of inventory includes both raw materials utilized in production and finished commodities offered for sale. Inventory is one of a company's most significant assets because it is one of the primary sources of revenue generation and, as a result, a source of profits again for the company's shareholders. Inventory is divided into three categories: finished goods, work-in-progress, plus raw materials. It is classified as a current asset on a corporation's balance sheet.
According to the given information:Current liabilities=4590
Add:
Working capital=2170 Current assets=6760 Less:
Inventory=3860
Quick assets =2900
the current ratio = Current assets divided by Current Liabilities is.
6760/ 4590 = 1.47
Quick ratio is equal to Quick Assets/Current Liabilities
= (2900/4590),
which is 0.632.
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Julie visited a craft store where all items were 25% off. She wants to program her calculator so she can input the marked price and the discounted price will be output. What is the expression for the discounted price on a marked price of p dollars?
A. P-0.25p
B 0.25p+p
C 0.25p+0.75p
D 0.25p
E 0.25p-p
Answer:
A. p - 0.25p
Step-by-step explanation:
Julie visited a craft store where all items were 25% off. She wants to program her calculator so she can input the marked price and the discounted price will be output. What is the expression for the discounted price on a marked price of p dollars?
She wants the calculator to return what the price is including the 25% discount. She will want her calculator to subtract 25%p from p so the equation will be:
p - 0.25p
option A returns what the price is including the 25% discount.
option B would return the item cost plus an additional 25%, not a discount of 25%
option C would return the marked price without the discount.
option D reflects the discount amount of 25%, not the price after the discount amount has been subtracted from the marked price.
option E tries subtract the marked price from the discount amount and would be negative.
ben scores 56 out of 79 in a maths test what is his score as a percentage
Answer:
56 percent
Step-by-step explanation:
the question is 9 − 4 |−3|
Answer:
-3
Step-by-step explanation:
9 − 4 |−3|
First find the absolute value of |-3|
|-3| is 3
9 − 4 *3
Multiply next
9 − 12
Then subtract
-3
Use the table to answer the question.
Which of the following data sets is illustrated by this stem-and-leaf plot?
O
Stem
2
5
O
6
6
12
Leaf
567
38
279
66
3
Key 215-25
A. 25, 26, 27, 53, 58, 62, 67, 69, 96, 123
OB. 25, 26, 27, 53, 58, 62, 67, 69, 96, 96, 123
OC. 52, 62, 72, 35, 852, 26, 76, 96, 69, 312
D. 52, 62, 72, 35, 852, 26, 76, 96, 69, 69, 312
The data set illustrated by this stem - and - leaf plot is 25, 26, 27, 53, 58, 62, 67, 69, 96, 96, 123 (option b).
What is a stem and leaf plot?A stem-and-leaf plot is a table that is used to represent a dataset. A stem-and-leaf plot is similar to a histogram. A stem-and-leaf plot divides a number into a stem and a leaf.
The stem is the first number in the digit while the leaf is the last number. For example in the number 25, 2 would be the stem and 5 would be the leaf. A stem-and-leaf plot usually arranges the dataset in ascending order.
An advantage of a stem-and-leaf plot is that it contains all the data in the dataset. A disadvantage of the stem-and-leaf plot is that it can only be used for a small dataset.
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-2 2/3 x (-4 3/7)
Can someone help me?
can someone help me with this please and explain because i’m confused :)) thanks!
Answer: 0.2121...=7/33 ≈943 hits
Step-by-step explanation:
a.
[tex]99n=100n-n\\[/tex]
Divide both parts of the equation by 99:
[tex]\displaystyle\\n=\frac{100n-n}{99} \\\\n=\frac{100*0.2121...-0.2121...}{99} \\\\n=\frac{21.2121...-0.2121...}{99}\\\\n=\frac{21}{99} \\\\n=\frac{7*3}{33*3}\\\\n=\frac{7}{33}[/tex]
b.
[tex]\displaystyle\\200:\frac{7}{33}=\\\\200*\frac{33}{7} =\\\\\frac{200*33}{7}=\\\\\frac{6600}{7}=\\\\ \approx943[/tex]
How many shrimps are in a colonie of fish
Answer:
The ideal starting count for your shrimp colony will be around 10 to 20 shrimp.
Step-by-step explanation:
Answer:
Step-by-step explanation:
20 to 10
Among randomly selected drivers in the age bracket, were in a car crash in the last year. If a driver in that age bracket is randomly selected, what is the approximate probability that he or she will be in a car crash during the next year? is it unlikely for a driver in that age bracket to be involved in a car crash during a year? is the resulting value high enough to be of concern to those in the age bracket? consider an event to be unlikely if its probability is less than or equal to 0. 5.
10 out of 400 means P(an accident/20-24)=10/400=1/40=0.025=2.5%
If less than 5% is unlikely, then 2.5% probability makes it unlikely a randomly selected driver in that age group would be in an accident.
No, it's not of concern if you only get concerned about likely events. But even an unlikely event is a worthy concern to the point of attempting to drive more safely, especially when insurance for the young is already very high, and would get even higher with an accident.
You might want to look at the car accidents. Were they minor fender benders or accidents with injuries and fatalities, or just car damage? The less damage or injuries, the less concern you probably would have.
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Solve the math problem
Answer:
there is the answers I thinked of...hope its right
(may I ask u to give brainlist?I'm just trying to get next level)
the group given the treatment being studied during an experiment, such as a medication, fertilizer, or exposure to some other variable, is called the blank group. multiple choice question. test placebo control variable
The group given the treatment being studied during an experiment, such as medication, fertilizer, or exposure to some other variable, is called the (A) test group.
What is a test group?The term "test group" refers to the entire group of users who will be analyzed as part of a study. So, if you're running a mobile A/B test and the variables are sent to a predetermined proportion of users, your test group will be the total number of users who receive either variable. The test group is the group that receives the treatment being studied during an experiment, such as medication, fertilizer, or exposure to another variable. A common example of group testing is a string of light bulbs connected in series, one of which is known to be broken.Therefore, the group given the treatment being studied during an experiment, such as medication, fertilizer, or exposure to some other variable, is called the (A) test group.
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The correct question is given below:
The group given the treatment being studied during an experiment, such as medication, fertilizer, or exposure to some other variable, is called the _____?
(A) test group
(B) placebo group
(C) control group
(D) variable group
Mrs. Garcia wants to put a title border along one side of her kitchen wall Mrs. Garcia measures the wall and knows that she needs enough tiles to make three rows with 63 tiles in each row how many more tiles does Miss Garcia need to make the border tiles cell in boxes of eight tiles in each box how many boxes Tiles does Mrs. Garcia need to buy Write equations to support your mathematical thinking
The equation to support the mathematical thinking will be x + 189 = 192 and the numbers needed is 3.
How to calculate the value?It should be noted that the information stated that she needs enough tiles to make three rows with 63 tiles in each row. The number of times needed will be:
= 63 × 3
= 189 tiles
The number of times that Miss Garcia need to make the border tiles cell in boxes of eight tiles in each box will be:
= 192 - 189 = 3
Therefore, 3 tiles are needed. It should be noted that 192 is the multiple of 8 closest to 189.
The equation to support the mathematical thinking will be:
x + 189 = 192
x = 192 - 189
x = 3
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tamika practiced oboe for 1/4 hour in the morning and 5/6 hour in the afternoon. how long did she practice in all? write your anwser as a mixed number.
Answer:
1/2
Step-by-step explanation:
- find the least common denominatir for the two. (12)
-multiply 4 and 3
-multiply 6 and 2
- Add 1 and 5
-Keep the denominator.
-simplify if needed
Answer:
Step-by-step explanation:
answer 1 1/12 hours
Simplify the following:
3(x + 1) - 4(2x - 5) + 10x
5x + 23
Step-by-step explanation:
[tex]{ \purple{ \tt{3(x + 1)}}} - { \purple{ \tt{4(2x - 5)}}} + { \purple{ \tt{10x}}}[/tex]
[tex] = { \purple{ \tt{3x + 3 - 8x + 20 + 10x}}}[/tex]
[tex] = { \purple{ \tt{3x + 2x + 23}}}[/tex]
[tex] = { \purple{ \tt{5x + 23}}}[/tex]
There are twelve marbles in a bag (7 green, 4 yellow, and 1 blue). What is the probability that you pull a green marble (and keep it) and then pull another green marble?
Answer:
Step-by-step explanation:
There are 7+4+1=12 marbles in the bag. The chances of drawing a green one on the first draw is 7/12. The chance of drawing a green marble on the second draw is 6/11 (since you didn't replace the first marble you drew).
To find the probability, you just multiply these fractions: 7/12*6/11= 7/22 (reduced fraction).
If a car travels at a speed of 60 miles per hour, find the angular speed (in radians per second) of a tire that has a diameter of 2 feet.
Answer:
44
Step-by-step explanation:
Rewrite the expressions using the distributive property:
5a (-3a+13)
Answer:
65a-15a^2
Step-by-step explanation:
Draw a pair of intersecting lines that forms a pair of complementary angles. Explain your reasoning.
A pair of intersecting lines that forms a pair of complementary angles is as drawn below.
What are the pair of complementary angles?
Remember that complementary angles are defined as angles which sum is equal to 90°.
Besides, each of the pairs of opposite angles made by two intersecting lines are called vertical angles. Now, from congruent proofs, we know that that vertical angles are congruent. In another words, they have the same measure.
Thus, we have to draw two vertical angles that measure:
90° ÷2 = 45°
This image is as drawn below in the attached file.
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The graph g(x) = sin (x + 2π) is a transformation of the graph f(x) = sin x exactly one period to the right, and the two graphs look identical. Is it true or false and explain why
It is true that the two graphs of g(x) = sin (x + 2π) and f(x) = sin x are identical.
How to Interpret Graph Transformations?The sine function is a periodic function, which means that the value of the sine function repeats itself after a regular interval. This regular interval is called the period. The period for a sine function is 2π radians. This means that the value of the sine function will be same for any two points separated by 2π radians.
If x = 0, then sin (x) = sin (0) = 0 and sin (x + 2π) = sin (0 + 2π) = sin (2π) = 0
If x = π/2, then sin (x) = sin (π/2) = 1 and sin (x + 2π) = sin (π/2 + 2π) = sin (5π/2) = 1
Thus, it can be seen that the graph of sin (x + 2π) replicates the graph of sin (x) exactly after one period of the sine function.
Thus, we conclude that it is true that the two graphs of g(x) and f(x) are identical.
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While visiting the zoo, Monika has budgeted $10 for lunch at the café. Can she afford a bacon cheeseburger, large fries and milkshake? Explain.
Sandwiches Sides Beverages
Hamburger $3.25
Bacon Cheeseburger $4.75
Chicken Fajita Taco $3.50
French Fries, Small $1.55
French Fries, Large $1.90
Onion Rings $2.40
Cole Slaw $1.45
Soft Drink, Small $1.30
Soft Drink, Large $1.65
Milkshake $3.25
Juice $1.80
Part A
STRUCTURE Find two consecutive even integers such that twice the lesser of the two integers is 4 less than two times
the greater integer.
a. Write and solve an equation to find the integers.
Answer:
0, 2 . . . . . (any pair of consecutive even integers)
Step-by-step explanation:
You want a pair of consecutive even integers such that twice the lesser is 4 less than two times the greater.
SetupLet x represent the lesser of the two even integers. Then the greater is (x+2) and the given relation is ...
2x = 2(x+2) -4
SolutionSimplifying gives ...
2x = 2x +4 -4
2x = 2x . . . . . . . true for any even integer x
Any pair of consecutive even integers will satisfy the relation.
one such pair is 0, 2
check: 2(2) -4 = 2(0)
I need this done today. Help
Answer:
4
Step-by-step explanation:
Describe the similarities and differences between finding the slope of a linear equation from a graph that has x and y scales that are 1:1, and from a graph that has x and y scales that are not 1:1 (say your x and y scales are 2, 4, 6).
The similarities are
We need two points to determine the slope of the graph.The differences are
The change in x and y are not the same Only the 1:1 graph passes through the originWhat is the slope of a graph?The slope of a graph is the gradient of the graph. It is given by m = change in y/change in x
What are the similarities and differences between between finding the slope of a linear equation from a graph that has x and y scales that are 1:1, and from a graph that has x and y scales that are not 1:1 What are the similaritiesThe similarities between finding the slope of a graph that x and y are 1:1 to that which x and y are not 1:1 are
We need two points to determine the slope of the graph.What are the differencesThe differences between finding the slope of a graph that x and y are 1:1 to that which x and y are not 1:1 are
The change in x and y are the same in a 1:1 graph whereas the change in x and y are not the same in a not 1:1 graphIn a 1:1 graph, we can choose the origin as a point to determine the slope since the graph passes through the origin whereas in a not 1:1 graph, we might not be able to choose the origin as a point to determine the slope since the graph might not pass through the originSo, the similarities are
We need two points to determine the slope of the graph.The differences are
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Find the distance between C ( 2 , 4 ) and D ( 5 , 7 ) . Round to the nearest tenth, if necessary.
The distance between the points is 4.3.
Given the points are C(2,4) and D (5,7)
let the two points be:
C (2,4) = (x₁ , y₁)
D (5,7) = (x₂ , y₂)
The length of the section of a line connecting any two places represents their distance. Only one line connects the two places, and it passes through both. The length of the line segment that connects the two places may therefore be used to compute the distance between them.
Distance between the points = √(x₂ ₋ x₁)² ₊ (y₂ ₋ y₁)²
substitute the points.
d = √(5 ₋ 2)² ₊ (7 ₋ 4)²
d = √(3)² ₊ (3)²
d = √9 ₊ 9
d = √18
d = 4.24
rounding off to nearest tenth
d = 4.3
Hence we get the distance between two points as 4.3.
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Deon reads an average of 92 pages each week. Write an equation to represent the number of pages read after any number of weeks.
The answer for the given question is 92 Weeks
A numerical statement made up of two expressions joined by an equal sign is known as an equation.. 2x - 4 = 16 is an example of an equation. We get the value of the variable x as x = 10 after solving this equation.
Coefficients, variables, operators, and constants are all components of an equation.
An equation is formed by joining two expressions with an equal sign ("=").. The two expressions on either side of the equals sign are referred to as the equation's "left-hand side" and "right-hand side" The right-hand side of an equation is usually assumed to be zero. This will not reduce generality because we can balance it by subtracting the right-hand side expression from the expressions on both sides.
The number of pages Deon reads per week should be w
The equation will be based on the question's condition, which is
Pages = 92 times in a week
Number of pages Deon reads every week = 92w
Therefore, Number of the pages Deon reads every week is 92 weeks.
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