Answer:
C.No, because each lime will cost a bit more than 30¢, so 4 limes will cost a bit more than $1.20.Step-by-step explanation:
The unit price of the 8 limes is $0.25 per lime.
The given expression:
The selling price for 8 limes = $2.00
To find:
if the unit price is $4 or $0.25The unit price of the lime is calculated by dividing the total selling price by the total number of limes purchased.
[tex]unit \ price = \frac{total \ amount \ paid \ for \ 8 \ limes }{8 \ limes } \\\\unit \ price =\frac{\$ \ 2}{8 \ limes } \\\\unit \ price = (\frac{1}{4} ) \frac{\$}{lime} \\\\unit \ price = \$0.25 \ per \ lime[/tex]
Thus, the unit price of the 8 limes is $0.25 per lime.
Learn more here: https://brainly.com/question/12418981
Ivan also decides to try putting together the “Multiples of 3” set from the numbers sitting around. How can he know if a number is a multiple of 3? (Hint: Build a lot of different multiples of 3. Then look at the sum of the digits of each number.
Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, ...
The two digit numbers in that list above all have their digits adding to some other multiple of 3
1+2 = 31+5 = 61+8 = 92+1 = 32+4 = 62+7 = 93+0 = 33+3 = 63+6 = 9and so on.
Therefore, the rule is: If the digits add to a multiple of 3, then the original number is a multiple of 3.
Can somebody help me with the first set please you have to match it
Answer:
they are in the link. i answered each on in the same order they are in the picture soooo here u are.
4. Write a verbal expression for 6g^2/5
Answer:
the product of 6 and a squared number divided by 5Step-by-step explanation:
Which expressions are equal to 0 when x = –1? Check all that apply.
Answer: ACE
Step-by-step explanation:
The expression first, third, and fourth becomes zero when plugging x = -1 in the equation.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
First,
[tex]=\rm \dfrac{4\left(x+1\right)}{4x+5}[/tex]
Plug x = -1
The expression value becomes zero.
Second,
[tex]= \rm \dfrac{4\left(x-1\right)}{5-4x}[/tex]
Plug x = -1
= -8/9
Third,
[tex]\rm \dfrac{4\left(x-\left(-1\right)\right)}{4x+5}[/tex]
Plug x = -1
The expression value becomes zero.
Fourth,
[tex]\rm \dfrac{4\left(x+\left(-1\right)\right)}{4x+5}[/tex]
Plug x = -1
The expression value does not become zero.
Fifth,
[tex]\rm \dfrac{4\left(x+1\right)}{5-4x}[/tex]
Plug x = -1
The expression value becomes zero.
Thus, the expression first, third, and fourth becomes zero when plugging x = -1 in the equation.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
if a family has 7 children, what is the interval within which the "number of children they have really falls"
Answer:
Step-by-step explanation:
If a family has 7 children, what is the interval within which "the number of children they have" really falls.
Now, number of children is a discrete variable, not a continuous one.
You are sure that the family has 7 children because the question states that.
The true interval within which the number of children they have falls is (0 - 8)
The mean of a set of data is 4.68 and its standard deviation is 2.83. Find the z score for a value of 9.38. a.1.83 b.1.49 c.1.66 d.1.96
Answer:
[tex]z = 1.66[/tex]
Step-by-step explanation:
Given
Mean = 4.68
Standard Deviation (SD) = 2.83
Value, x = 9.38
Required
Determine the z score
z score is calculated using the following formula;
[tex]z = \frac{x - Mean}{SD}[/tex]
Substitute 9.38 for x; 2.83 for SD and 4.68 for Mean
[tex]z = \frac{9.38 - 4.68}{2.83}[/tex]
[tex]z = \frac{4.7}{2.83}[/tex]
[tex]z = 1.66[/tex] (Approximated)
Hence, the z score is 1.66
midpoint (-4.-27), endpoint (-5, -19)
Answer:
(-3,-35), and the slope is -8/1
Step-by-step explanation:
If you're trying to find the other endpoint, that's it, and the slope is -8/1
pls help this is geometry
Answer:
B, D, and E
Step-by-step explanation:
B) m<1 + m<2=m<4 TRUE. If you and 1, 2, and 3, you get 180. If you add 3 and 4, you get 180. So 1 and 2 must be the same as 4.
D) m<4 is greater than m<2
E) m<4 is greater than m<1
A car is traveling at the speed of 50 meters per second. What is the cars speed in kilometers per hour? How many kilometers will the car travel in 2 hours? Do not round your answers.
a wool suit discounted by 30% for a clearance sale, has a price tag of $199. what was the suit's original price
Answer:
$284.29Step-by-step explanation:
Let the original price be x
The discounted price for a clearance sale = 30% of x
If the price tag after discounting = $199.
Using the relationship to find the original price x
Original price - discounted price = Current price tag after discounting
x - 0.3x = 199
0.7x = 199
Divide both sides by 0.7
0.7x/0.7 = 199/0.7
x = $284.29
Hence the suit's original price is approximately $284.29
Which of the following pairs of fractions with a common denominator are equivalent to 1/4 and 2/5?a. 5/20, 8/20b. 1/20, 2/20c. 1/9, 2/9d. 5/20, 4/20
Answer:
a. 5/20, 8/20
Step-by-step explanation:
1/4 and 2/5
a. 5/20, 8/20
5/20
Divide both numerator and denominator by 5
= 1/4
8/20
Divide both numerator and denominator by 4
= 2/5
b. 1/20, 2/20
1/20 =1/20
2/20
Divide both numerator and denominator by 2
= 1/10
c. 1/9, 2/9
Both fractions can't be further simplified
= 1/9, 2/9
d. 5/20, 4/20
5/20
Divide both numerator and denominator by 5
= 1/4
4/20
Divide both numerator and denominator by 4
= 1/5
The correct answer is a. 5/20, 8/20
= 1/4, 2/5
5 / 20 and 8 / 20 are pairs of fractions with a common denominator that are equivalent to 1/4 and 2/5
We are ask to find the equivalent of the pairs of fractions with a common denominator 1 /4 and 2 / 5.
The logic is to reduce by dividing the options with same numerator and denominator to get the equivalent of the fraction required.
Therefore,
5 / 20 and 8 / 20
5 / 20 ÷ 5 / 5 = 1 / 4
8 / 20 ÷ 4 / 4 = 2/5
Base on the answer you can see that when we reduced option A fractions, they are the same with the required fractions.
Therefore, 5 / 20 and 8 / 20 are pairs of fractions with a common denominator that are equivalent to 1/4 and 2/5
learn more on fraction here: https://brainly.com/question/17447977?referrer=searchResults
6. Four more than two-thirds of a number is twenty-two. Find the number.
Answer:
27
Step-by-step explanation:
Let x be the number
2/3 x+4 = 22
Subtract 4 from each side
2/3x +4-4 = 22-4
2/3 x = 18
Multiply each side by 3/2
3/2 ( 2/3x) = 18 * 3/2
x = 27
Answer:
[tex]\Huge \boxed{27}[/tex]
Step-by-step explanation:
Let the number be x.
[tex]\frac{2}{3} x+4=22[/tex]
Solve for x.
Subtract 4 from both sides.
[tex]\frac{2}{3} x+4-4=22-4[/tex]
[tex]\frac{2}{3} x=18[/tex]
Multiply both sides by [tex]\frac{3}{2}[/tex].
[tex]\frac{2}{3} x \cdot \frac{3}{2} =18 \cdot \frac{3}{2}[/tex]
[tex]x=27[/tex]
The number is 27.
Use set notation to list all the elements of the set. The natural number less than 37 that are divisible by 5.
Answer:
{5, 10, 15, 20, 25, 30, 35}
Step-by-step explanation:
The set can be listed (rostered). When it is, it will be ...
{5, 10, 15, 20, 25, 30, 35}
__
Set notation can also be used to describe the set as being a natural number less than 37 and divisible by 5:
[tex]\{n\in\mathbb{N}:(n<37)\land(n\mod{5}=0)\}[/tex]
Among all pairs of numbers with a sum of 149149, find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms.
Correct question is;
Among all pairs of numbers with a sum of 149, find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms
Answer:
The pair whose product is maximum is 149/2 and 149/2
Step-by-step explanation:
We are told that pair of number with sum as 149 and to find the product that is maximum.
Now,let x and y be the numbers. Thus;
x + y = 149 and xy is maximum.
So, y = 149 - x
Thus, plugging 149 - x for y into the product equation gives; x(149 - x). This can be expanded to be -x² + 149x.
Using method of completing the square, we will arrive at;
-(x² - 149x) = -(x² -149x + (149/2)²) + (149/2)² = (149/2)² - (x - (149/2))²
Now, the expression gotten will have a maximum of (149/2)² when (x - (149/2))² has its minimum value of zero. This means that when x = 149/2, as x moves away from 149/2, (149/2)² would be reduced by the square of the difference between the value of x and 149/2, and the square would always be positive.
Thus, the maximum product in it's simplest form is x = y = 149/2
What is 5 + 5 + 9 + 3 - 10 x 4 - 8 + 9 - 7 - 1 + 9 x 6
Answer:
29
Step-by-step explanation:
the midpoint of the coordinates (13,15) and (12,8) is ________
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{(12.5 \: , \: 11.5)}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( 13 , 15 ) be x₁ , y₁ and B ( 12 ,8 ) be x₂ , y₂
Finding the midpoint
[tex] \bold{ \boxed{ \sf{midpoint \: = (\: \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2}) }}}[/tex]
[tex]\dashrightarrow{ \sf{ (\frac{13 + 12}{2} , \: \frac{15 + 8}{2} )}}[/tex]
[tex] \dashrightarrow {\sf {(\frac{25}{2} \: , \: \frac{23}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{(12.5 \: , \: 11.5)}}[/tex]
Hope I helped!
Best regards! :D
A library has 167 trees on their property, but they are having trouble growing grass so they need to pay to have trees cut down each year until the property has less than 50 trees. If they can pay to have only four trees cut down this year, but eight trees cut down every year after that, in how many years will they have less than 50 trees on their property?
Answer:
15 years
Step-by-step explanation:
Given:
Number of trees = 167This year limit = 4 treesYearly limit following years = 6 trees per yearTarget number of trees = 50Building inequality:
167 - 4 - 8x < 508x > 113x > 113/8x > 14.125Adding current year to 14 we get 15 years as answer
which equations represents the line that pases through points (1,-5) and (3, -17)?
Answer:
y= -6x +1
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx +c, where m is the gradient (or slope) and c is the y-intercept.
In order to find the equation of a line, you would need 2 things:
① Gradient (← can be found)
② Coordinate (✓ we have 2 coordinates here)
To find the gradient, use the gradient formula below:
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
[tex]m = \frac{ - 5 - ( - 17)}{1 - 3} \\ m = \frac{ - 5 + 17}{ - 2} \\ m = \frac{12}{ - 2} \\ m = - 6[/tex]
Substitute the value of m into the equation:
y= -6x +c
To find the value of c, substitute a pair of coordinates.
When x=1, y= -5,
-5= -6(1) +c
c -6= -5
c= 6 -5
c= 1
Thus, the equation of the line is y= -6x +1.
red and blue ceramic tiles are laid according to a pattern such that every 21 red tiles used, 4 blue tiles are used. if a total of 425 tiles are used, how many of them are blue? setup a proportion for this scenario( use x for your unknown number of blue tiles).
Answer:
X= blue tiles
Y = red tiles
X/y = 4/21
X+y= 425
Y= 357 tiles
X= 68 tiles
Step-by-step explanation:
red and blue ceramic tiles are laid according to a pattern.
The pattern= every 21 red tiles used, 4 blue tiles are used
Total number of tiles used = 425 tiles
X= blue tiles
Y = red tiles
X/y = 4/21
X+y= 425
21x= 4y
X= 4y/21
X+y= 425
4y/21 + y = 425
25y= 425(21)
Y=( 425*21)/25
Y= 357 tiles
X= 4y/21
X= (4*357)/21
X= 1428/21
X= 68 tiles
Using proportions, it is found that there are 68 blue tiles.
This question is solved by proportions, using a rule of three.For every 21 red tiles used, 4 blue tiles are used, hence, out of every 25 tiles, 4 are blue. How many blue tiles are there out of 425?The rule of three is:
4 blue - 25 total
x blue - 425 total
Applying cross multiplication:
[tex]25x = 4(425)[/tex]
[tex]x = \frac{4(425)}{25}[/tex]
[tex]x = 68[/tex]
There are 68 blue tiles.
To learn more about proportions, you can check https://brainly.com/question/24372153
20 POINTS FOR BRAINLIEST!! The graph shows Marc's individual and cumulative tips for 7 days Which day gave Marc the sharpest boost in accumulated tips? A): Day 1 B): Day 2 C): Day 3 D): Day 4
The answer is Day 3. The blue bar for day 3 is the tallest, which means that was the highest amount.
On day 3 the sharpest boost in accumulated tips. Therefore, option C is the correct answer.
Given that, the graph shows Marc's individual and cumulative tips for 7 days.
We need to find which day gave Marc the sharpest boost in accumulated tips.
What are bar graphs?Bar graphs are the pictorial representation of data (generally grouped), in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data. They are also known as bar charts. Bar graphs are one of the means of data handling in statistics.
Now, in the given graph we can see that on day 3 tip is more.
On day 3 the sharpest boost in accumulated tips. Therefore, option C is the correct answer.
To learn more about the bar graphs visit:
https://brainly.com/question/8644324.
#SPJ2
Describe a pattern in the sequence of numbers. Predict the next number.
1. 256, 64, 16, 4, ...
2. 2, 6, 18, 54, ...
Answer:
Pattern = Start at 256 and divide by 4 each time. Next number = 1.Pattern = Start at 2 multiply by 3 each time. Next number = 162In the first sequence, the next term here is 1. In the second sequence; the next term is 162.
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
In the first sequence, 256, 64, 16, 4, ...
Consider ratio of the next term with its preceding term, so we will get the common ratio;
4/ 16 = 1/4
So, we can see that the next term of the sequence is 1/4 times the previous term.
Hence, the unknown term will be; 1/4 times of previous term.
That is , 1/4 × 4 = 1
Therefore, the next term here is 1
In the second sequence; 2, 6, 18, 54, ...
Do the same procedure as above, we will get the common ratio as :
54 / 18 = 3
Thus, the next term is 3 times the preceding term, that is :
3 × 54 = 162
Hence, the next term is 162
Learn more about arithmetic sequence here:
https://brainly.com/question/3702506
#SPJ2
Find the length of segment AB. (Find the distance between the two points). A(-3,5) B(0,1)
Answer:
5
Step-by-step explanation:
The formula is [tex]\sqrt{(x_{1}-x_{2})^{2} +(y_{1}-y_{2}})^{2} }[/tex]
[tex]x_{1}[/tex]=-3 [tex]x_{2}[/tex]=0
[tex]y_{1}[/tex]=5 [tex]y_{2}[/tex]=1
[tex]x_{1}- x_{2}[/tex]=-3
[tex]y_{1}- y_{2}=4[/tex]
Therefore: [tex]\sqrt{(-3)^{2}+4^{2} } =\sqrt{9+16} =\sqrt{25}=5[/tex]
Which represents the solution(s) of the equation x2 = 324? A) x = 18 B) x = ± 18 C) x = − 324 D) x = ± 324
Answer:
A
Step-by-step explanation:
x = 18
The lunch special at Karen’s restaurant is a sandwich, a drink and a dessert. THERE ARE 2 sandwiches, 4 drinks, and 1 dessert to choose from. How many lunch specials are possible?
Answer:
There are 8 possible combinations.
Look at this example:
2 sandwiches: PB&J, turkey sandwich
4 drinks: soda, water, lemonade, tea
1 dessert: cake
all 8 combos:
PB&J, soda, cakePB&J, water, cakePB&J, lemonade, cakePB&J, tea, caketurkey sandwich, soda, caketurkey sandwich, water, caketurkey sandwich, lemonade, caketurkey sandwich, tea, cakehope this helps
HELP!!! MATH!!! PLEASE HELP PLEASE!!! Determine the answer to 3 + (−5) and explain the steps using a number line. (5 points)
Answer:
3+(-5) = -2
Step-by-step explanation:
If you were at 3 in the number line then went back 5 spaces (which represents -5) it would be -2
0.28
x 0.86
it’s no answer choices ;((
Answer:
Hey there!
0.28 times 0.86 is equal to 0.2408
Let me know if this helps :)
ayyyyyyyyyyyyyyyy i need some help lease
Answer:
.95
Step-by-step explanation:
Please Help! I'm stuck!
Answer:
See attached image
Step-by-step explanation:
If you have two marbles in a bag and you are choosing the marbles randomly twice, then we can look at fractions.
Each time, you have a 0.5 chance of picking the silver marble. After you pick that, you have another 0.5 chance of picking the silver marble again.
This applies with any combination.
This means that the probability of you getting two silvers in a row is 0.25.
Since the marbles are the same size and nothing is stopping you from choosing one, this probability applies to all combinations possible.
Hope this helped!
PLS HELP FOR BRAINLIEST ANSWER
Answer:
Point C which is 1.
Step-by-step explanation:
A = -6
E = 8
M = (A + E)/2
M = (-6 + 8)/2 = 2/2 = 1
The midpoint is 1 which is point C.
Please answer correctly will mark brainliest