Step-by-step explanation:
6 is divisible by 2 and 3 (6 = 2 · 3).
257 is not divisible by 2 and 3 (257 is a prime number).
Therefore 257 is't divisible by 6.
Final answer:
257 is not divisible by 6 because it is not even.
A number must be even and the sum of its digits divisible by 3 to be divisible by 6.
Explanation:
To determine if 257 is divisible by 6, we need to check if it satisfies the criteria for divisibility by 6.
A number is divisible by 6 if it is divisible by both 2 and 3.
For divisibility by 2, the number must be even, which means it should end in 0, 2, 4, 6, or 8. For divisibility by 3, the sum of the digits of the number must be divisible by 3.Examining 257, we see that it ends with a 7, which is not an even number.
So it does not meet the criterion for divisibility by 2.
Therefore, 257 is not divisible by 6.
what is the sum of the complex numbers below? 4−7i and −3+5i
a −i
b 1+2i
c 3
d 1−2i
Answer:
d 1–2i
Step-by-step explanation:
(4–7i)+(–3+5i)=1–2i
The sum of the complex numbers 4−7i and −3+5i is obtained by adding the real parts and the imaginary parts separately. This gives a result of 1 - 2i.
Explanation:To find the sum of two complex numbers, you simply add the real parts together and the imaginary parts together separately.
So, you add the real parts (4 and -3), which equals 1, and the imaginary parts (-7i and 5i), which equals -2i.
Thus, the sum of the complex numbers 4−7i and −3+5i is 1 - 2i.
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Can someone explain how to do this please ASP thank you
Answer:
2) 10
4) 7
6) 7
Step-by-step explanation:
what equals 10? 10
what is subtracted from 3 equals 4? 7
what is multiplied by 7 and equals 49? 7
Have a nice day!!!!!!!!!! :-)
KA
Bev scored 540 points . This was 158 points more then Ike scored . How many points did Ike score
For this case we have to:
x: Variable that represents the points scored by Bev
y: Variable that represents the points scored by Ike
According to the data we have:
[tex]x = 540\\x = y + 158[/tex]
We substitute the first equation in the second one:
[tex]540 = y + 158[/tex]
We clear the variable "y":
[tex]y = 540-158\\y = 382[/tex]
So, Ike scored 382 points.
Answer:
Ike scored 382 points.
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#1. An orange contains about 80 milligrams of vitamin C. This is 10 times the amount of vitamin C that an apple contains.
If x represents the amount of vitamin C in an apple, which equation can be used to find x?
Question 1 options:
80x=10
10x=80
10+x=80
80+x=10
#2. Select all the situations that can be represented by the equation 12(x+40)=60.
Question 2 options:
40 more than 50% of a number is 60.
60 is half the sum of a number and 40.
A test is worth 100 points. Each question, x, is worth 12a point.
A store has a sale in which all items are 50% off. At the store, Tony spends a total of $60 for a jacket that costs x dollars and a pair of pants that costs $40.
#3. A basket contains some apples and oranges. The number of apples is 4 more than 2 times the number of oranges. The total number of pieces of fruit in the basket is 22.
Which equation finds the number of oranges in the basket, x?
Question 3 options:
2x−4=22
2x+4=22
3x−4=22
3x+4=22
#4. The equation 2y+53=165 represents the situation "Joel spends $165 on a pair of jeans and two shirts that were the same price."
What does y represent?
Question 4 options:
Price of one pair of jeans
Number of shirts Joel bought
Price of one shirt
Amount Joel spent on the shirts
#5. Jamar and Henry sell insurance policies. Henry sells 20 policies less than Jamar does. One half of the total policies they both sell is 89.
Does Jamar sell 99 policies? Why or why not?
Question 5 options:
Yes, because if Jamar sells x number of policies then the equation representing the scenario is12(2x−20)=89.
No, because if Jamar sells x number of policies then the equation representing the scenario is12(2x+20)=89
Yes, because if Jamar sells x number of policies then the equation representing the scenario is 2(2x+20)=89.
No, because if Jamar sells x number of policies then the equation representing the scenario is 2(2x−20)=89 .
#1: 10x=80
#2: A test is worth 100 points. Each question, x, is worth 12a point.
#3: 2x+4=22
#4: Price of one shirt
#5: Yes, because if Jamar sells x number of policies then the equation representing the scenario is12(2x−20)=89.
Answer:
hope this helps
Step-by-step explanation:
#1: 10x=80
#2: A test is worth 100 points. Each question, x, is worth 12a point.
#3: 2x+4=22
#4: Price of one shirt
#5: Yes, because if Jamar sells x number of policies then the equation representing the scenario is12(2x−20)=89.
four times a number plus three is the same as five plus the number equation
Answer:
2/3
Step-by-step explanation:
4x+3=5+x
4x-x=5-3
3x=2
x=2/3
What is the relationship between 7 and -7
Answer:
14
Have a nice day!!!!!!!! :-)
KA
Answer:
there 14 away from each other
Step-by-step explanation:
Calvin had 30 minutes in time-out. For the first 23 1/3 minutes, Calvin counted spots on the ceiling. For the rest of the time, he made faces at his stuffed tiger. How long did Calvin spend making faces at his tiger?
Answer: 6 2/3 minutes
Step-by-step explanation:
30-23 1/3=6 2/3
Answer: [tex]\frac{20}{3}\ minutes[/tex] or [tex]6 \frac{2}{3}\ minutes[/tex]
Step-by-step explanation:
For this exercise you can convert the mixed number to an improper fraction:
1. Multiply the whole number part by the denominator of the fraction.
2. Add the product obtained and the numerator of the fraction (This will be the new numerator).
3. The denominator does not change.
Then:
[tex]23\frac{1}{3}= \frac{(23*3)+1}{3}= \frac{70}{3}\ minutes[/tex]
You know that he had 30 minutes in time-out, he counted spots on the ceiling for [tex]\frac{70}{3}[/tex] minutes and the rest of the time he made faces at his stuffed tiger.
Then, in order to calculate the time Calvin spent making faces at his stuffed tiger, you need to subract 30 minutes and [tex]\frac{70}{3}[/tex] minutes:
[tex]30\ min-\frac{70}{3}=(\frac{3(30)-70}{3})=\frac{20}{3}\ minutes[/tex] or [tex]6 \frac{2}{3}\ minutes[/tex]
What is the length of the side opposite of angle b
Answer:
B.4 Correct Answer
Step-by-step explanation:
Answer:
4 units B on Edgen
Step-by-step explanation:
The sum of a number and three times the number is 92 . Find the number
Step-by-step explanation:
Let the number be x
x + 3x = 92
4x = 92
x = 92/4
x = 23
2q+8
_____ =10
10
And please explain how you got your answer. My teacher gave me this homework with explanation on how to do it and I still can't seem to figure it out.
Answer:
q = 46Step-by-step explanation:
[tex]\dfrac{2q+8}{10}=10\\\\\text{We simplify the equation by getting rid of the denominator.}\\\\\bold{multiply\ both\ sides\ by\ 10}\\\\10\!\!\!\!\!\diagup^1\cdot\dfrac{2q+8}{10\!\!\!\!\!\diagup_1}=(10)(10)\\\\2q+8=100\qquad\bold{subtract\ 8\ form\ both\ sides}\\\\2q+8-8=100-8\\\\2q=92\qquad\bold{divide \both\ sides\ by\ 2}\\\\\dfrac{2q}{2}=\dfrac{92}{2}\\\\q=46[/tex]
is 32.725 greater or less than 32.735
Answer:32.735 is greater
Step-by-step explanation:
15) If the point (6, 3) is rotated 180° clockwise about
(2,9), what are the coordinates of the new point?
A. (15,-2)
B. (-2, 15)
C. (1, 12)
D. (12, 1)
Answer:
B. (-2, 15)
Step-by-step explanation:
Pretend that your fixed point [2, 9] is at the origin for now by translating it two units west then nine units south [0, 0]. Now, the same goes for [6, 3]. Translate it two units west then nine units south to get [4, -6]. Then, according to the 180°-rotation rule, you take the OPPOSITE of both the x-coordinate and y-coordinate:
[4, -6] → [-4, 6]
Now, that you have your rotated point, we have to shift EVERYTHING BACK to the way it was from when we shifted the fixed point of [2, 9] to the origin. We do that by translating everything in reverse order, which is 9 blocks north then 2 blocks east:
→ [0, 0] back to [2, 9]
Translation
→ [-4, 6] to the new coordinate of [-2, 15]
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0.07131 correct to three decimal place
Answer:
0.071
Step-by-step explanation:
0.07131 rounded to 3 decimal places would be 0.071 (because it is the nearest number to 3 decimal places)
how do i rearrange f-ex=g-hx to get x?
Answer:
x = [tex]\frac{g-f}{h-e}[/tex]
Step-by-step explanation:
Given
f - ex = g - hx
Collect the terms in x on the left side by adding hx to both sides
hx - ex + f = g ( subtract f from both sides )
hx - ex = g - f ← factor out x on the left side
x(h - e) = g - f ← divide both sides by (h - e)
x = [tex]\frac{g-f}{h-e}[/tex]
Triangle FGH is reflected across a vertical line to produce ABC. Which statement is true
a. The perimeter of triangle FGH is equal to the perimeter of triangle ABC.
b. The length of side BC is equal to the length of side FG
c. The length of side AB is equal to the length of side FH.
d. The length of side AC is equal to the length of side FG.
Answer:
answer is a
Step-by-step explanation:
answer would be a because a reflection does not change the size or shape of any figure
A reflection of a shape maintains its size and shape, changing only its position and orientation. Thus, the perimeters and corresponding side lengths of reflected triangles FGH and ABC are equal.
Explanation:When a shape is reflected across a line, its shape and size remain the same, although its orientation and position may change. Therefore, a reflection is a type of transformation called an isometry, also known as a congruence transformation. In the case of triangle FGH being reflected to form triangle ABC:
The perimeter of triangle FGH is equal to the perimeter of triangle ABC. This is because the lengths of the sides remain the same under a reflection.The length of side BC is equal to the length of side GH, assuming that BC corresponds to GH in the reflection.The length of side AB is equal to the length of side FG, assuming that AB corresponds to FG in the reflection.The length of side AC is equal to the length of side FH, assuming that AC corresponds to FH in the reflection.Learn more about Reflection of Triangles here:https://brainly.com/question/28097210
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Christian and Domonic are shooting baskets at the basketball court in the park. They track their ratios of baskets made to baskets missed. Christian's ratio is 3:4, and Domonic's ratio is 5:2. Which statements are true based on the boys' ratios? Choose all that are correct. For every 3 baskets he misses, Christian makes 4 baskets. For every 3 baskets he makes, Christian misses 4 baskets. For every 2 baskets he misses, Domonic makes 5 baskets. For every 2 baskets he makes, Domonic misses 5 baskets. When Domonic has missed 4 baskets, he will have likely made 7 baskets. When Christian has missed 8 baskets, he will have likely made 6 baskets.
Answer:
2. For every 3 baskets he makes, Christian misses 4 baskets.
3. For every 2 baskets he misses, Domonic makes 5 baskets.
Step-by-step explanation:
Christian 3:4 ratio
for every 3 made he misses 4
3:4 = 6:8
Dominic 5:2
for every 5 made he misses 2
5:2 = 10:4
HELP PLS! THANK YOU!
1) In the morning, the temperature was -4.6 F. By the afternoon, the temperature was -9.4 F. What was the change in temperature
2) Ron made withdrawals of $46.79 and $18.93 from his checking account. He also deposited $30. If his balance before these transactions was $71.24, what is his balance now?
EXPLANATION PLS!
Answer:
#1 is 4.8 F and #2 is $35.52
Step-by-step explanation:
#1 Basic subtraction
9.4-4.6=4.8
#2
71.24-46.79-18.93+30
Break it out 71.24-46.79=24.45
Then 24.45 - 18.93= 5.52
Lastly 5.52+30=35.52
Please help me with this Algebra 2 question！
The upper boundary on x is 5. Divide this over each endpoint of the y inequality
5/0.25 = 20
5/4 = 1.25
we see that the first result 20 is largest
This means that the upper bound of x/y is 20.
Therefore b = 20.
----------------------------
The lower boundary on x is -4. Divide this over each endpoint of the y inequality
-4/0.25 = -16
-4/4 = -1
The result -16 is further to the left compared to -1, so therefore it is smaller.
The lower bound of x/y is -16.
This means a = -16.
----------------------------
We found that a = -16 and b = 20. Therefore, a+b = -16+20 = 4
The final answer is 414. CELL PHONES Gabriel pays $40 a month for basic cell phone service. In addition,
Gabriel can send text messages for $0.20 each. Write and solve an equation to find the total
amount Gabriel spent this month if he sends 40 text messages.
Answer:
Step-by-step explanation:
So first what you need to do is try subtracting 40 and 20 then multiplying 40
i need your help with a math problem it says three good friends are in the same algebra class. Their scores on a recent test are three consecutive even integers whose sum is 264. Find each score.
How is a mouse like grass in a meadow
A mouse and grass in a meadow are similar as they both play vital roles in the energy flow within a meadow ecosystem. Grass acts as a primary producer, capturing energy from the sun, while the mouse, as a herbivore, acts a primary consumer, eating the grass and moving energy up the chain.
A mouse and grass in a meadow can be seen as similar in the context of a biological ecosystem. In a meadow ecosystem, both play crucial roles.
The grass forms the primary producer layer of the food chain, as it harnesses energy from the sun to produce food via photosynthesis.
This provides the basic energy source for other members of the ecosystem. The mouse, on the other hand, is part of the primary consumer layer of the food chain.
As a herbivore, it consumes the grass for energy, thus transferring the energy obtained from the sun up the food chain. So, the similarity of the mouse and the grass in a meadow lies in their integral roles in the energy flow within an ecosystem.
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Find the quotient of -4 and -9
Answer:
4/9
Step-by-step explanation:
dividing two negatives equal to a positive so -4 and -9 will be 4÷9 which is 4/9
kimberly is driving 1323 miles from wichita to charleston. She drives 443 miles the first day and 409 the second day. Round each distance to the nearest ten and estimate how many miles kimberly has left to drive.
Answer:
1323 rounds to 1320
443 rounds to 440
409 rounds to 410
1320 - (440 + 410) =
1320 - 850 =
470 <=== malcolm has about 470 miles left to go
Step-by-step explanation:
Answer:
Step-by-step explanation:1323 rounds to 1320
443 rounds to 440
409 rounds to 410
1320 - (440 + 410) =
1320 - 850 =
470 <=== kimberly has about 470 miles left to go
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Order the values from least to greatest.
30. 8,|3|, -5,1 -2], -2
32. – 12,1-26], -15,|-12, 10|
Answer:
30. -5,-2,|-2|,|3|,8
32. -12,|10|, |-12|,|-15|,|-26|
Step-by-step explanation:
Answer:
[tex]-12, -2,|-2|, |3|, |-5|, 8, |10|, |-12|, |-15|, |-26|[/tex]
Step-by-step explanation:
We can start with -12
Because this is in the negatives
Along with -2
so:
-12, -2
We then put |-2| because when the |x| are around a number, it makes the number in the bars always positive. Therefore:
-12, -2, |-2|
The same goes for |3|:
-12, -2, |-2|, |3|
Same for |-5|:
-12, -2, |-2|, |3|, |-5|
8 will go next:
-12, -2, |-2|, |3|, |-5|, 8
|10| is positive, and next:
-12, -2, |-2|, |3|, |-5|, 8, |10|
Same for |-12|:
-12, -2, |-2|, |3|, |-5|, 8, |10|, |-12|
Same for |-15|:
-12, -2, |-2|, |3|, |-5|, 8, |10|, |-12|, |-15|
Same for |-26|:
-12, -2, |-2|, |3|, |-5|, 8, |10|, |-12|, |-15|, |-26|
Does (9,6) make the inequality y > 6 true?
No. The inequality is false.
In the given point (9,6) the second number is the Y value.
So if you replace Y with the given Y value of 6, the inequality is now 6 > 6 which is false since, 6 is = 6.
If x^4-3x+5 is divided by 2x-1,then what is the remainder
Answer:
[tex] \frac{3 \frac{9}{16}}{2x - 1} [/tex]
Step-by-step explanation:
Use Polynomial Long Division to get this:
[tex] \frac{x^{3}}{2} + \frac{ {x}^{2} }{4} + \frac{x}{8} - 1 \frac{7}{16} + \frac{3 \frac{9}{16}}{2x - 1} [/tex]
The remainder is the quantity being set over the divisor, which is 2x - 1.
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Sixty-six times the sum of nineteen plus fourteen in numerical expression
Answer:
Expression: 66(19+14)
Answer: 2178
Step-by-step explanation:
66(19+14)
66(33)
2178
Answer:
66 x 19 + 14
And because I wanna use my brain, the answer to that equation is 1268
A. Sydney invests $100 every month into an account that pays 5% APR
compounded monthly. How much money will Sydney have in the
account after 10 years? Round your answer to the nearest dollar.
Step-by-step explanation:
compound interest --> initial sum × increase^years
the increase is 1 + (percentage increase / 100)
initial sum = 100
increase= 1.05
years= 10
100 × 1.05^10 = 162.8894627...
so Sydney will have 164 dollars (to the nearest dollar)
(x^2 +9x +20) ÷ (x+5)
Answer:
x+4
Step-by-step explanation:
A rectangle has a length of 8.3cm and a perimeter of 22.4cm
Answer:
width = 2.9 cm
Step-by-step explanation:
Since there are two sides that equal to length on a rectangle, you double the length. Then, you subtract that number to find (width * 2). Then you divide that by 2 to get your answer (2.9 cm).