Answer:
3⅞ is the answer to the question.
Step-by-step explanation:
The ten lightest tomatoes are in ¼, ⅜, ½, ⅝ and ⅞.
In ¼, there are 3 tomatoes, so that would be “¼×3=¾”.
In ⅜, there are 2 tomatoes, so that would be “⅜×2=¾”.
In ½, there are 3 tomatoes, so it would be “½×3=3/2”.
In ⅝, there is 1 tomato, so it would be “⅝×1=⅝”.
In ⅞, there is 1 tomato, so that would be “⅞×1=⅞”.
Now add all together:
¾ + ¾ + 3/2 + ⅝ + ⅞
= 5+5+7+6+8/8
= 31/8
= 3⅞
Simplify the expression.
7n + 3(4n-3)-2
Hey there! I'm happy to help!
First we use the distributive property to undo the parentheses.
7n+12n-9-2
We combine the terms with n.
19n-9-2
And we combine the constants.
19n-11.
Have a wonderful day! :D
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{19n - 11}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{7n + 3(4n - 3) - 2}[/tex]
Distribute 3 through the parentheses
[tex] \longrightarrow{ \sf{7n + 12n - 9 - 2}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{19n - 9 - 2}}[/tex]
The negative integers are always added but posses the negative ( - ) sign
[tex] \longrightarrow{ \sf{19n - 11}}[/tex]
Hope I helped!
Best regards! :D
Two identical CDs regularly cost a total of $\$28.$ What is the cost in dollars of five of these CDs?
the answer is will be $140
Answer:
$70
Step-by-step explanation:
28 divided by 2 is 14, so 14 x 5= 70
Therefore it is $70 dollars for 5 CDs
Joe is selling hot chocolate for $0.25 per cup. It costs $12 for a case of cocoa mix. Each paper coffee cup costs $0.10. How many cups of hot chocolate does he need to break even?
Answer: He needs 80 cups.
Step-by-step explanation:$12/$.15=80 cups
Solve for y:
3x - 5y = 20
Steps to solve:
3x - 5y = 20
~Subtract 3x to both sides
-5y = 20 - 3x
~Divide everything by -5
y = -4 + 3/5x
Best of Luck!
The equivalent value of the expression is y = ( 3x - 20 ) / 5
Given data ,
Let the equation be represented as A
Now , the value of A is
3x - 5y = 20
On simplifying the equation , we get
3x - 5y = 20
So , the left hand side of the equation is equated to the right hand side by the value of 20
Adding 5y on both sides , we get
3x = 20 + 5y
Subtracting 20 on both sides , we get
5y = 3x - 20
Divide by 5 on both sides , we get
y = ( 3x - 20 ) / 5
Therefore , the value of y = ( 3x - 20 ) / 5
Hence , the expression is y = ( 3x - 20 ) / 5
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Dominic is driving on a long road trip. He currently has 10 gallons of gas in his car. Each hour that he drives, his car uses up 1.25 gallons of gas. Write an equation to represent the scenario. How much gas will Dominic have in 3 hours?
Answer:
(a) Equation: [tex]T_n = 11.25 - 1.25n[/tex]
(b) 7.5 gallons
Step-by-step explanation:
Given
Current Gas = 10 gallon
Every Hour = -1.25 gallon
Solving for (a): An equation for the scenario
This question represents an Arithmetic Progression and will be solved using the following formula:
[tex]T_n = a + (n - 1)d[/tex]
Where
[tex]a = 10[/tex]
[tex]d = -1.25[/tex]
Substitute these values in the formula
[tex]T_n = 10 + (n - 1) * -1.25[/tex]
[tex]T_n = 10 -1.25n +1.25[/tex]
Collect Like Terms
[tex]T_n = 10 + 1.25 - 1.25n[/tex]
[tex]T_n = 11.25 - 1.25n[/tex]
Solving for (b): In this case, n - 3
Substitute 3 for n in [tex]T_n = 11.25 - 1.25n[/tex]
[tex]T_3 = 11.25 - 1.25 * 3[/tex]
[tex]T_3 = 11.25 - 3.75[/tex]
[tex]T_3 = 7.5[/tex]
7.5 gallon of gas left
what is the answer of 6.93 − 4.07
Answer:
2.86
Step-by-step explanation:
mark brainliest
Answer:
2.86
Step-by-step explanation:
put 6.93 on top and 4.07 under it.The u subtract each number from the one under(3-7,9-0,2-4) nd then to check ya work reverse the operation and use the answer nd the smaller number to get the bigger number
What is a factor of p(x)=x^3-3x^2-2x+4
Answer:
[tex]p(x) = x^3-3x^2-2x+4[/tex]
[tex]p(x) = (x-1)(x^2-2x-4)[/tex]
Given g(x) = -x - 5, find g(1).
Answer:
-6
Step-by-step explanation:
g(1) would be equal to g(1) = -(1) - 5 = -6
So, the answer would be -6.
The value of g(1) is -6.
Given,
g(x) = -x - 5
We need to find g(1).
What is the domain and range of a function?A function is given by f(x).
The value of x is called the domain.
The output we get after putting the domain x in the function is called the range.
Example:
f(x) = x + 2
x = 1
f(1) = 1 + 2 = 3
domain = 1
range = 3
Find g(x) at x = 1.
g(x) = -x - 5
Put x = 1
g(1) = -1 - 5
= -6
g(1) = -6 is our answer.
Thus the value of g(1) is -6.
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a plumber charges 60$ for a service call plus $55 for each hour she works
this may help
My Step-by-step explanation:
the plumber would first make 60 dollars for the call , and then would make 55 dollars for each hour , or about 110 dollars every 2 hours. So, for 1 hour , she would have 105 dollars for the call , and 1 hour of work.
Pls help me!! Worth 50 points and will give brainliest
Answer:
A) 2 years at 3% interest = $10,617.57Step-by-step explanation:
loan amount (P) = $10,000
interest is compound monthly :
A = P (1 + r/n)^n*t
find:
which of these loan terms will have the lowest total cost?
A) 2 years at 3% interest
B) 3 years at 3% interest
C) 4 years at 3% interest
D) 5 years at 3% interest
solution:
plugin the values into the formula to get the accumulated monthly interest.
A. using 2 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ²
12
= $10,617.57
B. using 3 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ³
12
= $10,940.51
C. using 4 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁴
12
= $11.273.28
D. using 5 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁵
12
= $11,616.17
therefore, based on the above terms, option A which is $10,617.57
has the lowest accumulated monthly interest. (total cost)
A) 2 years at 3% interest = $10,617.57
Step-by-step explanation:
loan amount (P) = $10,000
interest is compound monthly :
A = P (1 + r/n)^n*t
find:
which of these loan terms will have the lowest total cost?
A) 2 years at 3% interest
B) 3 years at 3% interest
C) 4 years at 3% interest
D) 5 years at 3% interest
solution:
plugin the values into the formula to get the accumulated monthly interest.
A. using 2 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ²
12
= $10,617.57
B. using 3 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ³
12
= $10,940.51
C. using 4 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁴
12
= $11.273.28
D. using 5 years at 3% interest
A = $10,000 ( 1 + 0.03 ) ¹² ˣ ⁵
12
= $11,616.17
therefore, based on the above terms, option A which is $10,617.57
has the lowest accumulated monthly interest. (total cost)
Which of the following would eliminate the variable on the left side of the given equation? 36 - 19w = -6w + 41 add -19w add 19w add 6w add -36
Answer:
[tex]$w=-\frac{5}{13} $[/tex]
Step-by-step explanation:
[tex]36 - 19w = -6w + 41[/tex]
Add 19w in both sides
[tex]36 - 19w+19w = -6w+19w + 41[/tex]
[tex]36 = 13w + 41[/tex]
Add -41 both sides
[tex]-5 = 13w[/tex]
Divide both sides by 13
[tex]$w=-\frac{5}{13} $[/tex]
In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle?
Answer:
So if 25% of the people go to work by bicycle then that means that 75% of people go to work by other means of transportation.
Therefore the odds against selecting someone who commutes by bicycle are 75% or 75/100 or 0.75.
Step-by-step explanation:
The odds against selecting someone who commutes by bicycle are 75%
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly from the town.
25% of the people go to work by bicycle then which means that 75% of people go to work by other means of transportation.
Therefore the odds against selecting someone who commutes by bicycle are 75% or 75/100 or 0.75.
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Use the Distributive Property to simplify 5(m+3+n).
Answer:
simplify 5(m+3+n)
5m+5n+15
Totsakan ran 23 miles more than Mary last
week. Totsakan ran 39 miles. How many
miles did Mary run?
Identify the domain and range of the function. Enter your answers as numbers in the boxes; do not include units. Enter the range values in ascending order separated by commas. Age Admission Price under 5 free 5–17 $25 18–64 $40 65 and over $35 What is the domain?
Given that:
The tables values which represents Age and Admission Price is
Age Admission Price
under 5 free
5–17 $25
18–64 $40
65 and over $35
To find:
Domain and range of the function.
Solution:
Domain is the set of input values.
Here, domain is age because age is an independent variable.
Age cannot be negative, so
[tex]Domain:\{Age\geq 0\}=[0,\infity)[/tex]
Therefore, the domain is all number greater than or equal to 0.
Range is the set of input values.
Here, range is Admission Price because Admission Price is a dependent variable.
Admission Prices are free (i.e., 0), $25, $40 and $35. So
[tex]Range:\{0,25,35,40\}[/tex]
Therefore, range is {0,25,35,40}.
Destin walked 2km and Jane walked 4,000 ft. What is the approximate combined distance they walked? Note: 1 Foot (ft) is equal to 0.0003048 kilometer (km).
A 1 of a mile 5
B 50 yards
C 2 miles
D) 5 kilometers
Answer: Option C.
Step-by-step explanation:
The data is:
Destin walked 2km
Jane walked 4000ft.
Let's write both of those in the same units.
The data given is:
1ft = 0.0003048km.
and 4000ft is 4000 times that:
4000ft = 4000*1ft = 4000*0.0003048km = 1.22km
Then if we add those, we get:
Total distance = 2km + 1.22km = 3.22km
So we can already discard option D.
Now, we know that:
1km = 0.6214 miles.
then 3.22 km is 3.22 times that amount:
3.22km = 3.22*1km = 3.22*(0.6214 mi) = 2 miles
The correct option is C.
Which sequence of transformations would yield a rectangle similar to the original rectangle but not congruent?
a.) reflection and rotation
b.) rotation and translation
c.) translation and dilation
d.) translation and rotation
Answer:
It would be translation and dilation.
Step-by-step explanation:
The sequence of transformations that will give a similar rectangle is the one in option C "translation and dilation".
Which sequence of transformations would yield a similar rectangle?Remember that two similar rectangles have the same shape, but different size.
This means that, if in the sequence of transformations we have a dilation, then the image of the transformation will be similar to the original rectangle.
Notice that there is only one option with a dilation which is option C.
"translation and dilation"
So that is the correct option.
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A bakery sold a total of 500 cupcakes in a day, and 5% of them were vanilla flavored. How many of the cupcakes sold that day were vanilla flavored?
Does anyone know this?
Answer:
exact form: x = √ 17 + 9 , − √ 17 + 9
decimal form: 13.12310562
Step-by-step explanation:
Add 43 to both sides of the equation. Add − 9 and 43 .Divide each term by 2. Then simplify it. Take the square root of each side to set up the solution for x. The solution is the result of both the positive and negative portions of the solution.
Hope this helps!
Gloria’s hotel bill came to $296 plus an 11% tax, which means that she will pay 111% of her bill.
Which is the best estimate of the total amount Gloria will pay?
A. $319
B. $330
C. $348
D. $360
B $330
Step-by-step explanation:
My quiz said it was b
7x - 11 = 5x + 25 what is the answer to this question
Answer:
12x+14
Step-by-step explanation:
Answer: x=18
Step-by-step explanation: 7x−11=5x+25
Step 1: Subtract 5x from both sides.
7x−11−5x=5x+25−5x
2x−11=25
Step 2: Add 11 to both sides.
2x−11+11=25+11
2x=36
Step 3: Divide both sides by 2.
2x /2 = 36 /2
x=18
Answer:
x=18
Are any of the figures B, C, or D scaled coples of figure A? Explain how you know.
Answer:
C
Step-by-step explanation:
C is the only one that is an enlarged version of A.
Declan is hiking in the Smoky Mountains. He has gone down a 125 ft slope, traveled up a 250 ft rise, and then dropped back down 50 ft. Write an ADDITION expression to represent the scenario.
Step-by-step explanation:
-125+ 250+ (-50) = 75
A rectangular garden has a length of
x + 5 and a height of 2x + 7. What
is the area in terms of x?
Answer:
area = 2x^{2} + 17x + 35 square unit
Step-by-step explanation:
if the height is the width:
area = (x + 5)(2x + 7)
area = [tex]2x^{2} + 7x + 10x + 35[/tex]
area = [tex]2x^{2} + 17x + 35[/tex] square unit
Hi,
Make y the subject of the formula x = a-2byx^{2}
Answer:
Step-by-step explanation:
x = a - 2byx²
x - a = -2byx²
[tex]-2byx^{2}= x- a\\\\ y = \frac{x-a}{-2bx^{2}}\\\\ y =\frac{-(x-a)}{2bx^{2}}\\\\y=\frac{ -x + a}{2bx^{2}}\\\\y=\frac{ a -x }{2bx^{2}}\\[/tex]
Jenny bought 4 books in a bookstore. The prices of the first 3 books
were $10, $15 and $25. The average price she paid for the 4 books
was $18 per book. How much did she pay for the 4th book?
The cost of 4th book is $22.
What is the average?In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Given that, Jenny bought 4 books in a bookstore. The prices of the first 3 books were $10, $15 and $25.
Let the cost of 4th book be $x.
Now, average = (10+15+25+x)/4
(50+x)/4 =18
50+x =72
x=$22
Therefore, the cost of 4th book is $22.
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Tyrel walks Mrs. Latch's dog each day for $10 per week. How much does he earn each day for walking the dog?
Answer:
i honestly don't know
Step-by-step explanation:
suddjdbdb
Answer:
70 I guess
Step-by-step explanation:
10 days a week: Key
1 week is 7 days
10/ every seven days they earn 10 dollars
7*10=70
Consider the statements below. Statement 1: All circles are similar. Statement 2: All squares are similar. Statement 3: All right triangles are congruent. Statement 4: All equilateral triangles are congruent. Which statement is/are correct?
Answer:
Statement 1 2 and 4
Step-by-step explanation:
7.) Dafne gave away 3 more than half
of her apples. She gave away 17
apples in all. How many apples did
Dafne have originally?
Answer:28
Step-by-step explanation: 17-3 = 14 and 14 is half of 28.
Answer:
Dafne originally had 28 apples.
Step-by-step explanation:
Dafne gave away 3 more than half of her apples, and she gave away 17 apples.
So the first step would be to find half of the original number of apples:
17-3=14
Now all we have to do is multiply by two:
14x2=28
what is the value of x ?
Answer:
x = 70
Step-by-step explanation:
Both angles must add up to 180°, by the definition of a line.
Step 1: Set up equation
x - 31 + 2x + 1 = 180
Step 2: Solve for x
3x - 30 = 180
3x = 210
x = 70