Answer:
x = 0.1379
Step-by-step explanation:
23x + 1 = 52x - 3
-23x -23x
-----------------------
1 = 29x - 3
+3 +3
------------------
4 = 29x
÷29 ÷29
-------------------
x = 0.1379
write the slope- intercept form of the equation of the line described
through (4,5) parallel to y= 1/4x-4
Answer:
Step-by-step explanation:
You get the slope right away, just by reading it.
y = 1/4 x + b
To solve for b, you use the point 4,5
5 = 1/4 * 4 + b Substitute 4 for x
5 = 1 + b Subtract 1 from both sides
5-1 = 1-1 + b
b = 4
The line is y = 1/4 x + 4
Given H(6, 7) and I(-7,-6), if point G lies 1/2 of the way along Hl. John says that point G is located at the origin. Is John correct? Justify your answer.
Given:
Two points are (6, 7) and I(-7,-6).
Point G lies [tex]\dfrac{1}{2}[/tex] of the way along Hl.
John says that point G is located at the origin.
To find:
Whether John is correct or not.
Solution:
Point G lies [tex]\dfrac{1}{2}[/tex] of the way along Hl. I means point G is the midpoint of HI.
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]G=\left(\dfrac{6-7}{2},\dfrac{7-6}{2}\right)[/tex]
[tex]G=\left(\dfrac{-1}{2},\dfrac{1}{2}\right)[/tex]
The location of point G is at [tex]\left(\dfrac{-1}{2},\dfrac{1}{2}\right)[/tex], which is not equal to origin, i.e., (0,0).
Therefore, John is incorrect.
1st question: Reuben received 80 dollars. Write a signed number to represent this change.
2nd question: A car corporation produced 1520 fewer cars this month than last. Write a signed number to represent this month's change in production.
Answer:
1) +80
2) -1520
Step-by-step explanation:
Positive Signed numbers are used in real world situations to indicate the increase. Examples include; increase in weight, deposit of money into an account, increase in income, profit, height above sea level, etc. They are all represented by positive signed numbers.
Whereas, negative signed numbers show decrease. Examples include; loss of weight, withdrawal of money from an account, loans, liabilities, losses, temperature below zero degrees, height below sea level.
1) We are told that Reuben received 80 dollars. Thus, it means he received an increase in the amount of money he already had. Thus, the signed number will be +80.
2) We are told that A car corporation produced 1520 fewer cars this month than last.
Thus, the signed number will be negative since there is a decrease in number of cars.
Thus, signed number = -1520
PLEASE HELP Five students want to play dodgeball and they all want to be a team captain. To be fair, the gym coach decides to place the names of all five students into a hat, mix well, and select two names at random without replacement. The names chosen will be the team captains. Each outcome in the sample space for the random selection of two team captains is equally likely. What is the probability of each outcome in the sample space?
1/25
1/20
1/10
1/5
The probability of each outcome in the sample space is 1/20
What is probability?"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
For given example,
Total number of students:
n(S) = 5
The probability of selecting one student would be,
P(A) = 1/5
Now, there are 4 students.
n(S) = 4
So, probability of selecting second student from remaining 4.
P(B) = 1/4
Hence, the probability of each outcome in the sample space would be,
1/5 × 1/4 = 1/20
Therefore, the probability of each outcome in the sample space is 1/20
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What agreement did Britain and the United States make in the Treaty of 1818?
joint control of the Oregon Country for ten years
joint control of West Florida for ten years
O joint control of fishing rights off Canada for ten years
O joint control of Latin America
Answer:
A
Step-by-step explanation:
Unit Test on a Edge today. ; )
Answer:
its A
Step-by-step explanation:
i got a 100 on my quiz
Find the cardinal number of the given set.
A = {{3, 5, 7, ... 25}}
Answer:
12Step-by-step explanation:
The cardinal number of a set is the number of element in the set. Given the set A = {{3, 5, 7, ... 25}}, you can see that the elements of the set are odd numbers from 3 to 25. Writing out the full set;
A = {{3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25}}
Counting the total number of element in the set, you will see that there are only 12 elements in the set. Hence the cardinal number of the set is 12 i.e n(A) = 12
The original price of a jacket for sale at a department store is $80. The store is having a 20%-off sale, and you have
a coupon that gives you an additional discount of 10% off the lowest sale price. How would you calculate the final
selling price of the jacket?
O Multiply the $80 original price by 0.2 and subtract the result from $80. Then multiply the new price by 0.1 and
subtract the result from the discounted price.
O Multiply the $80 price by 0.3.
O Multiply the $80 price by 0.8, and then multiply the $80 price by 0.9.
O Divide the $80 price by 0.8, and then divide the $80 price by 0.9
i think it’s the first one
You're right; the answer is the first choice.
Answer:
first option , $57.6
Step-by-step explanation:
$80 x 0.20 = $16
$80 - $16 = $64
$64 x 0.10 = $6.4
$64 - $6.4 = $57.6
above solution is the exact steps on the first option.
therefore the final price of the jacket is $57.6
HELP I GIVE BRAINLIEST
Answer:
The answer is 15/19
Step-by-step explanation:
Both 60 and 76 are divisible by 4:
60/4 = 15 and 76/4 = 19
Final answer; 15/19
Can anyone explain how to do this? The answer isn't as important as the explanation. My teacher gave us a video w/o an example like this so I don't know what to do lol
Answer:
x = 182.53
Step-by-step explanation:
Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x
Let's solve.
✍️Finding the whole side length adjacent to 20°:
Opp = 87
Adjacent length = ? = a
[tex] \theta = 20 [/tex]
Thus,
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(20) = \frac{87}{a} [/tex]
Multiply both sides by a
[tex] tan(20) \times a = \frac{87}{a} \times a [/tex]
[tex] tan(20) \times a = 87 [/tex]
Divide both sides by tan(20)
[tex] \frac{tan(20) \times a}{tan(20)} = \frac{87}{tan(20)} [/tex]
[tex] a = \frac{87}{tan(20)} [/tex]
[tex] a = 239.03 [/tex]
Finding the side length adjacent to 57°:
Opp = 87
Adjacent length = ? = b
[tex] \theta = 57 [/tex]
Thus,
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(57) = \frac{87}{b} [/tex]
Multiply both sides by b
[tex] tan(57) \times b = \frac{87}{b} \times b [/tex]
[tex] tan(57) \times b = 87 [/tex]
Divide both sides by tan(57)
[tex] \frac{tan(57) \times b}{tan(57)} = \frac{87}{tan(57)} [/tex]
[tex] b = \frac{87}{tan(57)} [/tex]
[tex] b = 56.50 [/tex]
Therefore:
x = a - b
x = 239.03 - 56.50
x = 182.53
the question is there in png pls help me!
Answer:
101+102+103+104+105= 515
Step-by-step explanation:
the fifth number is counting by 5 each time so you can just count by 5s till you reach 21: 5 (1),10 (2),15 (3),20 (4),25 (5) and so on then once you reach 21 which is 105 you count back from 105 to find the first number then add them all together. This is a simple non-equation solution, I'm sure if I sat there for more than 2 minutes I could think of an equation but it's easier this way, and the problem doesn't require it.
HELPPPPP !!!
What is the justification for the step taken from line 2 to line 3?
3x +9-7X=X+10+X
-4x+9 = 2x+10
-6x+9= 10
-6x=1
x = 6 음
(A) the subtraction property of equality
(B) the multiplication property of equality
(C) combining like terms on one side of the equation
(D) the distributive property
Submit
Answer:
(A) the subtraction property of equality
Step-by-step explanation:
Given
The steps in the question
Require
Justify step 2 to 3
Write out step 2:
[tex]-4x+9 = 2x+10[/tex]
Apply subtraction property by subtracting 2x from both sides
[tex]-4x-2x+9 = 2x-2x+10[/tex]
[tex]-6x+9 = 10[/tex]
Notice that the above equation is represented in step 3.
Hence, option A answers the question.
A. the subtraction property of equality
Consider parallel lines cut by a transversal.
Parallel lines q and s are cut by transversal r. On line q where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line s where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.
Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.
Answer:
The alternate exterior angles 2 and 7 are congruent. One way to prove this is through the corresponding angles, vertical angles, and the transitive property.
First, we know <2 and <6 are congruent because of corresponding angles. Then we know they are equal because of the definition of congruent.
Next, we know <6 is congruent to <7 because of vertical angles. Then, we know they are equal because of the definition of congruent.
Finally, we know <2 is equal to <7 because of the transitive property.
Answer:
Here's the sample response!!
Step-by-step explanation:
Because vertical angles are congruent, angles 1 and 4 are congruent. Because corresponding angles are congruent, angles 4 and 8 are congruent. Because angle 4 is congruent to both 1 and 8, angle 1 is congruent to angle 8.
x-4y= -36 in slope form
a designer is adding a border around the edge of a rectangular swimming pool. he measure the pool and finds thst the length of the pool is 52 meters and the width is 26 meters. How long is the tile border?
Answer:
the answer is 156 meters
Maybe can u give me brainliest?
Will mark as brainliest if correct!
Answer:
40%
Step-by-step explanation:
Answer: 40%
Step-by-step explanation: if you add all the students answers you get 30
then take the strawberry students that is 12 divide it 12/30 and you get .4 then multiply by 100 and you get 40%
Write the equation in standard form
Answer:
standard form: Ax + By = C
Slope-intercept form: y=mx+b
where m is the slope and b is the y intercept.
first lets put this into intercept form:
y=-5x+b
(4, 0) is the x intercept.)
To find what b is plug in the point 4, 0 for the x and y of the equation:
0=-5(4)+b
0=-20+b
20=b
b=20
Now that we have the slope, m, and the y intercept, b, we can make our equation
y=-5x+20
Now we need to transform this equation into standard form like so:
y=-5x+20
5x+y=20 - this is your answer
Step-by-step explanation:
A stamp is 7/8 inches wide by 3/4 inches long. If Henry puts 3 stamps on an envelope, what is the total area, in square units, of his stamps?**
Answer:
[tex]\bold{\dfrac{63}{32}\ sq\ inches}[/tex]
Step-by-step explanation:
Given that:
Width of stamp = [tex]\frac{7}{8}[/tex] inches
Length of stamp = [tex]\frac{3}{4}[/tex] inches
It is well known that a stamp is in the form of a rectangular shape.
Area of a rectangular shape is given by the following formula:
[tex]Area = Width\times Length[/tex]
Also, there are 3 identical stamps on the envelop, therefore we need to find the area of one stamp and then multiply it with 3 to find the required area.
Required area:
[tex]3\times \dfrac{7}{8}\times \dfrac{3}{4}\\\Rightarrow \bold{\dfrac{63}{32}\ sq\ inches}[/tex]
Please help. I want to finish this problem so I can have fun. It is really hard for me. Plz.
Answer:
x can be divided by 2,3,4,5,6
2 can be divided by 4, so is 3 to 6
so simply x can be divided by 4,5,6
4*5*6=120
Step-by-step explanation:
Another stupid question.
You find 3 video games which in total cost 30.49. The discount is 45%. How much does it cost AND, how much do you save?
how do i solve this question 2x-14=4(p+5) ? all ik it that i have to distribute first.
Answer:
x=(4p+34)/2
p=(2x-34)/4
Step-by-step explanation:
2x-14=4(p+5)
2x-14=4p+20
2x=4p+34
If you are solving for x, it would be:
2x/2=4p+34/2
x=(4p+34)/2
If you are olving for p, it would be:
2x-34=4p
Divide 4 from both sides:
(2x-34)/4=p or p=(2x-34)/4
I need help with number 9 please thank you
Answer:
B:
Step-by-step explanation:
A pool is filled (which signifies the increase) a little time later (still full, flat line) it is emptied (the decrease) and then refilled (increase)
NEED HELP 45 POINTS PLZ
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
Answer:
I have given the answer in the chat box as i was not able to post officialy
Step-by-step explanation:
A sequence of numbers follows the rule: multiply the previous number by -2 and add 3. The fourth term in the sequence is -7. Give the next 3 terms in the sequence. Give the 3 terms that came before -7 in the sequence.
Answer:
Next 3 terms: 17, -31, 65
3 terms before -7: 2, -1, 5
Step-by-step explanation:
Fourth term in the sequence = -7
Rule for finding the next term:
[tex]a_n=-2\times a_{n-1}+3[/tex]
Therefore, the fifth term:
[tex]a_5=-2\times a_4+3\\\Rightarrow a_5=-2\times -7+3\\\Rightarrow \bold{a_5=17}[/tex]
Sixth term:
[tex]a_6=-2\times a_5+3\\\Rightarrow a_6=-2\times 17+3\\\Rightarrow \bold{a_6=-31}[/tex]
Seventh term:
[tex]a_7=-2\times a_6+3\\\Rightarrow a_7=-2\times -31+3\\\Rightarrow \bold{a_7=65}[/tex]
Let the three terms that came before -7 be: [tex]x, y, z[/tex]
As per question statement:
[tex]a_n=-2\times a_{n-1}+3[/tex]
[tex]-7 = -2\times z+3\\\Rightarrow -2z=-10\\\Rightarrow z=5[/tex]
Again applying the given rule:
[tex]5 = -2\times y+3\\\Rightarrow y =-1[/tex]
Again applying the given rule:
[tex]-1 = -2\times x+3\\\Rightarrow x =2[/tex]
Therefore the 3 terms before -7 are:
2, -1, 5
a small library has 4 times as many story books as puzzle books. if it has 32 puzzle books, how many story books does it have?
how many solutions does the equation 2(2x- 10)-8 =-2(14-3x) have?A.exactly one solution B. exactly two solutions C. no solution D.infinitey many solutions
Answer: it has no solutions
Step-by-step explanation:
Factor then solve to find the complex solutions.
the use of the words and not and or in a search engine is known as
Answer:
i can't understant the question
Step-by-step explanation:
What is the sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18? ANSWER IN 2 MINUTES
Answer:
The least common multiple of 12 and 18 is 36. The greatest common divisor of 12 and 18 is 6.
The sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18 is 42
We have to given that,
To find sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18.
Since, Factors of 12 and 18 are,
12 = 2 x 2 x 3
18 = 2 x 3 x 3
Hence, The least common multiple of 12 and 18 = 2 x 3 x 2 x 3 = 36
And, The greatest common divisor of 12 and 18 = 2 x 3 = 6
So, The sum of the least common multiple of 12 and 18 and the greatest common divisor of 12 and 18 is,
36 + 6
42
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This is soo hard can someone please help
what is the slope of the following line?
Answer:
-2
Hope this helps,
PumpkinSpice1
The slope of the line will be ( -1 / 2 ). The correct option is C.
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The two points are (0,3) and ( 6,0). The slope of the line will be calculated by using the formula below;-
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 0 - 3 ) / ( 6 - 0 )
Slope = -3 / 6 = -1 / 2
Therefore, the slope of the line will be ( -1 / 2 ). The correct option is C.
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what is the nth term of 1,3,5,7,9,11
Answer:
11
Step-by-step explanation:
Here,
11 is the nth term as it is the last term shown in the sequence