Answer:
It certainly doesn't make sense. Her equation means
5 times some number is 25.
hope it helps!
Use the distributive property to clear parentheses.
-6(3x+4)
Answer:-18x-24
Step-by-step explanation:Use the PEMDAS method
explanation:-18x-24
Can anyone help me please
Angle A and Angle B are identical, so AC and BC are also identical.
ABC = AC
3x -7 =20
Add 7 to both sides:
3x = 27
Divide both sides by 3:
x = 9
By definition,
|a + bi| =
Answer:
|z| = |a + ib| = [tex]\sqrt{a^{2} + b^{2}}[/tex].
Step-by-step explanation:
By the definition of complex numbers the modulus of any complex number z = x + iy is given by |z| = |x + iy| = [tex]\sqrt{x^{2} + y^{2}}[/tex].
Say for example, z = 3 + 4i is a complex number then
|z| = |3 - 4i| = [tex]\sqrt{3^{2} + 4^{2}} = 5[/tex]
In a complex plane modulus of a complex number z = x + iy means the distance of the point (x, iy) from the origin. (Answer)
in the equation 3/4(x+8)=9 ,what does x equal
Answer:
x=4
Step-by-step explanation:
The given equation, the value of x is :
Solving the equation
[tex]3/4(x+8)=9\\0.75(x+8)=9\\0.75x+6.00=9\\0.75x=3\\x=3/0.75\\x=4[/tex]
The value of x is 4 .
Let n represent the position of a term in the sequence below.
8, 11, 14, 17, 20, 23,
Which algebraic expression can be used to find the nth term of the sequence
The algebraic expression can be used to find the nth term of the sequence is:
[tex]a_n = 5+3n[/tex]
Where, [tex]n\geq 1[/tex] and n is a positive whole number
Solution:
Given sequence is:
8, 11, 14, 17, 20, 23
Let us find the common difference between terms
11 - 8 = 3
14 - 11 = 3
17 - 14 = 3
20 - 17 = 3
23 - 20 = 3
Thus the common difference between successive term and previous term is constant
Thus this is a arithmetic sequence
The formula for nth term term of arithmetic sequence is given as:
[tex]a_n = a_1+(n-1)d[/tex]
Where,
[tex]a_n[/tex] is the nth term of sequence
[tex]a_1[/tex] is the first term of sequence
d is the common difference between terms
Here in this sequence, 8, 11, 14, 17, 20, 23
[tex]a_1 = 8\\\\d = 3[/tex]
Therefore,
[tex]a_n = 8+(n-1)3\\\\a_n = 8+3n -3\\\\a_n = 5+3n[/tex]
Where, [tex]n\geq 1[/tex] and n is a positive whole number
Thus algebraic expression can be used to find the nth term of the sequence is found
What is 12 percent of 29
Answer:
3.48
Step-by-step explanation:
12%=0.12
0.12*29=3.48
The sum of two numbers is 30 and their difference is 12 find the 2 numbers
Answer:
The two numbers are 21 and 9
Step-by-step explanation
(15+6) minus (15-6) gives a difference of 12
21- 9 = 12
solve for x: 3(9-8x-4x)+8(3x+4)=11
Answer:
x=4
Step-by-step explanation:
3(9-8x-4x)+8(3x+4)=11
Subtract 4 x from − 8 x
3 ( 9 − 12 x ) + 8 ( 3 x + 4 ) = 11
Distribute
27 − 36 x + 24 x + 32 = 11
Simplify
− 12 x + 59 = 11
Subtract 59 to both sides
− 12 x = − 48
Divide by -12
x=4
The time a projectile spends in the air can be modeled by the equation t² -t - 8 = 0, in which t represents the amount of time traveled, in seconds. Which of the following is equivalent to the equation t² - 2t - 8 = 0?
(t + 4)(t - 2) = 0
t -4)(t - 2) = 0
(t + 4)(t + 2) = 0
(t - 4) (t + 2) = 0
Answer:
(t - 4)(t + 2) = 0
Step-by-step explanation:
The general formula for a quadratic expression is
y = ax² + bx + c
Your expression is
y = t² - 2t - 8 = 0
By comparison, we see that
a = 1; b = -2; c = -8
1. Find two numbers that multiply to give ac and add to give b.
In this case, find two numbers that multiply to give -8 and add to give -2.
It helps to list the factors of -8.
They are ±1, ±2, ±4, and ±8
After a little trial and error, you should find the numbers -4 and +2.
-4 × 2 = -8, and -4 + 2 = -2)
2. Rewrite the middle term with those numbers
t² -4t + 2t - 8 = 0
3. Factor the first and last pairs of terms separately
t(t - 4) +2(t - 4) = 0
4. Separate the common factor
The common factor is t - 4.
(t - 4)(t + 2) = 0
How many solutions y=x^2-10x+25
Step-by-step explanation:
Given,
y = [tex]x^2[/tex] - 10x + 25
To find, the total number of solutions = ?
∴ y = [tex]x^2[/tex] - 10x + 25
⇒ y = [tex]x^2[/tex] - 2(x)(5) + [tex]5^2[/tex]
⇒ y = [tex](x-5)^{2}[/tex]
There are infinite solution of y.
Thus, there are infinite solution of y.
A rectangle is eight inches and diagonal is ten
inches. What's the width of the rectangle?
Answer: Its width is 6inches.
Step-by-step explanation:
The given information can be used to construct a right angled triangle. Now applying the Pythagoras theorem,
10^2 = W^2 + 8^2
where w represents the width.
100 = w^2 + 64
100 - 64 = w^2
36 = w^2
find the square root of both sides,
6 = w
Therefore, w = 6 inches
Thus the width of the rectangle is 6 inches.
Pirate Jack has an equal number of gold and silver coins. If Pirate Jack splits all of his coins into 7 equal piles for his parrots, he has 4 coins left. Or, if he splits all of his coins into 11 equal piles for his shipmates, he has 4 coins left. Assuming every pile has at least 1 coin, what is the least possible number of coins Pirate Jack has?
Answer:
The least possible number of coins that Pirate Jack has is 77.
Step-by-step explanation:
i) let the number of coins in the piles for the parrots be x.
ii) therefore we can say that the total number of coins be 7x + 4
iii) let the number of coins in the piles for for the pirates be y.
iv) therefore we can say that the total number of coins be 11y + 4
v) therefore we can say that 7x + 4 = 11y + 4
vi) therefore 7x = 11y
vii) therefore the least possible number of coins that Pirate Jack has is equal to the LCM of 11 and 7 which is 77.
viii) x = 11 and y = 7
Answer:
158 coins
Step-by-step explanation:
Jack's number has to be an even number, because he can split his gold and silver coins evenly.
77 is the LCM of 11 and 7 and add 4 (the remainder) to get 81.
But it has to be an even number since he can split his coins evenly.
You can then do 77 times 2, and add 4 to get 158, which is the answer.
Use the following paycheck to answer the question.
What percent of Zachary's pay do his deductions comprise?
To calculate the percentage of Zachary's pay that his deductions comprise, divide the total amount of deductions by the total pay, then multiply by 100.
Explanation:To find out what percent of Zachary's pay his deductions compromise, you need to divide the total amount of deductions by the total amount of his pay, and then multiply by 100 to get the percentage.
Let's use an example. If Zachary's total deductions are $300 and his total pay is $1000, you would do the following calculation:
Divide 300 by 1000. This will give you 0.3. Multiply 0.3 by 100. This will give you 30.
In this example, Zachary's deductions comprise 30% of his total pay.
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Black bears lose 1/5 of the body weight during hibernation. A black bear weighs 265 poundBlack bears lose 1/5 of their body weight during hibernation. A blackK Bear weighs 260 pounds. How much weight did it lose while hibernating
Answer:
52lbs
Step-by-step explanation:
To find out how much weight the black bear lost during hibernation, subtract the weight after hibernation from the weight before hibernation: 265 - 260 = 5 pounds.
Explanation:To find out how much weight the black bear lost during hibernation, we can use the information that black bears lose 1/5 of their body weight during hibernation. We know that the black bear weighed 265 pounds before hibernation and weighs 260 pounds after hibernation. To calculate the weight loss, we subtract the weight after hibernation from the weight before hibernation: 265 - 260 = 5 pounds. Therefore, the black bear lost 5 pounds while hibernating.
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The tree diagram represents an experiment consisting of two trials.
P(A and C) = [?]
Yo sup??
P(A)=0.5
P(C|A)=0.4
Therefore
P(A and C)=0.5*0.4
=0.2
Hope this helps.
The required probability is P(A and C) is 0.2 which is represented in the tree diagram.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
The given tree diagram represents an experiment consisting of two trials.
The tree diagram represents an experiment consisting of two trials. In this case, the probability of event A and event C occurring is represented by the intersection of branches A and C in the tree diagram.
This probability can be calculated by multiplying the probability of each individual event together.
As per the given question, we have
P(A) = 0.5
P(C|A) = 0.4
So, P(A and C) = 0.5 × 0.4 = 0.2
Thus, the required probability is P(A and C) is 0.2
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3(4x-5)+4(2x+6) simplify
Answer:
20+9
Step-by-step explanation:
Answer: 20x+9 (I THINK that’s the answer but I’m not completely sure so...)
Step-by-step explanation: (12x-15) + (8x+24)
12x+8x= 20x
-15+24 (or 24-15)= 9
20x+9
Paul's family drove 377 mi to the beach averaging 58 mi/h on the way there. On the return trip home, they averaged 65 mi/h.
What was the total time Paul's family spent driving to and from the beach?
11.3 h
11.6 h
12.3 h
13 h
Answer:
12.3 hours
Step-by-step explanation:
So other person can get brainliest
What is 38.96 × 15.7 with work
Write a phrase $3 more than four times the cost of a pretzel as an algebraic expession
Answer:
[tex]4x+3[/tex]
Step-by-step explanation:
Let
x ----> the cost of a pretzel
we know that
The phrase" $3 more than four times the cost of a pretzel" is equal to multiply the cost of a pretzel x by 4 and adds the number 3
so
The algebraic expression is
[tex]4x+3[/tex]
Answer:
4p + $3
Step-by-step explanation:
more than= + (plus sign)
four times the cost of a pretzel= 4p
Remember 4 times cost of pretzel
times= multiplication sign
p=cost of pretzel
So: 4p + $3
100 POINTS!!!!
Which number should each side of the equation 2/3x=10 be multiplied by to produce the equivalent equation of x = 1/5?
−2/3
1/3
3/2
3
Answer:
2/3x = 10.....multiply both sides by 3/2 giving u :
x = 10 * 3/2
x = 30/2 which equals 15
Step-by-step explanation:
So your answer is 3/2 or 32
Y=|3x-3|-9 use x-values to find solution -1,0,4
Answer:
Step-by-step explanation:
Suppose the two line segments in a coordinate plane one with a length of 120 units and other with a length of 240 units were both rotated 90 degrees about the origin and then translated 50 units up one of the resulting segments could have a length of...units.
In the image, the length of the segment will be 120 units.
Step-by-step explanation:
Whatever may be transformation, either rotation, reflection or translation, the length the line segment will not change.
Here one segment with 120 units and other segment with 240 units is rotated 90 degrees about the origin and then it is translated 50 units up, we will get the image of the segment with the same size.
In the image, the length of the segment will be 120 units.
You have 3 quarters, 7 dimes, and 5 nickles in your pocket. A coin is chosen at random. What is the BEST answer for the probability of drawing a quarter?
A) impossible
B) unlikely
C) very likely
D) certain
Answer:
B) Unlikely
Step-by-step explanation:
Your chance drawing a quarter is a low 20%
Answer:
B:Unlikely
Step-by-step explanation:
Because you have 7 dimes and 5 nickels so those ones would be more likely to be picked than the quarter but it is still possible.
What is the probability of getting a number less than 7 on a standard six-sided die
Answer:
100%
Step-by-step explanation:
You cant get a number on a 6 sided die higher than 7.
If y = -x² + 14x + 7 , then x = 10 is a counterexample for which conjecture?
A.
y is always positive.
B.
y is always negative.
C.
y is a function of x.
D.
The graph of y is a parabola.
Answer:
The correct answer is B
Step-by-step explanation:
If we plug in x=10 to the equation, we get y=47
Since y is positive, A is not an counterexample
Since y is a function of x, C is not an counterexample
Since the graph of y is a parabola, D is not an counterexample
Hope this helped and mark as brainliest!
A garden supply store sells two types of lawn mowers. The smaller mower costs $249.99 and the larger mower costs $329.99. If 30 total mowers were sold and the total sales for a given year was $8379.70, find how many of each type were sold.
19 small mowers and 11 large mowers are sold
Solution:
Let "a" be the number of small mowers sold
Let "b" be the number of large mowers sold
Cost of each small mower = $ 249.99
Cost of each large mower = $ 329.99
30 total mowers were sold
Therefore,
a + b = 30
a = 30 - b ------------- eqn 1
The total sales for a given year was $8379.70
Thus we frame a equation as:
number of small mowers sold x Cost of each small mower + number of large mowers sold x Cost of each large mower = 8379.70
[tex]a \times 249.99 + b \times 329.99 = 8379.70[/tex]
249.99a + 329.99b = 8379.70 ---------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
249.99(30 - b) + 329.99b = 8379.70
7499.7 - 249.99b + 329.99b = 8379.70
80b = 8379.70 - 7499.7
80b = 880
Divide both sides by 80
b = 11
Substitute b = 11 in eqn 1
a = 30 - 11
a = 19
Thus 19 small mowers and 11 large mowers are sold
The slide at the playground has a height of 6 feet.The base of the slide measured on the ground is 8 feet.what is the length of the slide
Answer: 10ft
Step-by-step explanation:
Using the Pythagorean theorem (a² + b² = c²) you would end up with an equation like this: 36 + 64 = 100. You would then square root 100 and the answer would be 10 ft
The rations that are equivalent to 16:12
Answer:
4:3, 32:24, 8:6
Step-by-step explanation:
for 4:3, you divide both sides of 16:12 by 4
for 32:24 you mutiple both sides by 2
for 8:6 you multiply both sides by 2
Hope this helps :)
Identify all the sets to which the number belongs. Choose from Rational Number, Irrational number, whole number, and integer. 1.256...
A. Rational number
B. Irrational number
C.Integer, and rational number
D. Whole number, Integer, and rational number
Answer:
The number 1.256 is A)rational number.
Step-by-step explanation:
A whole number is a non-negative number without any digits behind the decimal. An integer is a set of negative and non negative numbers that don't have any digits behind the decimal.A number that can be shown as a fraction of two whole numbers is a rational number.And the numbers that are not rational are irrational numbers.Here, 1.256 is a fraction of whole numbers 1256 and 1000 , so it is a rational no.[tex]\frac{1256}{1000} =1.256[/tex]
But since it has digits behind the decimal it is neither a whole number, or an integer.The number 1.256... is a rational number because it can be expressed as a ratio of two integers. It is not an integer, whole number, or irrational number.
Explanation:The number 1.256 repeated is a rational number because it can be expressed as the ratio of two integers, which fits the definition of a rational number as ratios of integers such as 2/1, 3/4, and so on.
Even though the decimal representation may appear to continue forever, if the pattern of digits repeats indefinitely, it is still rational.
This number is not an integer, whole number, or irrational number, so it does not belong to those sets. An integer is a whole number without any fractional or decimal part, positive or negative, including zero.
Therefore, the correct option that defines the sets to which the number 1.256... belongs is Option A: Rational number.
The perimeter of a rectangular garden is 110ft. The length is 5 ft greater than the width. Find the length and width.
P = perimeter
L = length
W = width
Formula for the perimeter of a rectangle = L + L + W + W or P = 2L + 2W
You know:
P = 110ft
L = W + 5 [length is 5ft greater than the width]
So plug this into the formula:
P = 2L + 2W Substitute/plug in (W + 5) for L
110 = 2(W + 5) + 2W Distribute/multiply 2 into (W + 5)
110 = (2)W + (2)5 + 2W
110 = 2W + 10 + 2W Combine like terms (2W + 2W)
110 = 4W + 10 Subtract 10 on both sides
110 - 10 = 4W + 10 - 10
100 = 4W Divide 4 on both sides to get "W" by itself
[tex]\frac{100}{4}=\frac{4W}{4}[/tex]
25 = W Now that you know the width, plug it into the equation for length
L = W + 5 Plug in 25 for W
L = 25 + 5
L = 30
L = 30 ft
W = 25 ft
PROOF
P = 2L + 2W
110 = 2(30) + 2(25)
110 = 60 + 50
110 = 110