a cookie recipe calls for 1 2/3 cups of sugar. If you plan on changing the recipe to make 2 1/2 times as much, how many cups of sugar will you need?
Answer:
4 1/6
Step-by-step explanation:
2 1/2 times 1 2/3 change those numbers into an improper fraction which are 5/2 for 2 1/2 and 5/3 for 1 2/3 multiply 5/2 and 5/3 you get 25/6 change the 25/6 into a mixed number and you get 4 1/6
Suppose the size of each cube is doubled and the size of the large box is doubled. How many of these new cubes would fit? Explain how you found your answer.
Find two consecutive integers such that one fifth of the first less one-ninth of the second is 3. Pls answer.
Answer:
35 and 36
Step-by-step explanation:
To solve this problem, we must interpret it line by line;
We are dealing with consecutive integers; these are integers with a difference of 1 between them.let the first number = x
second number = x + 1
one - fifth of first;[tex]\frac{1}{5}[/tex]x
one - ninth of the second;[tex]\frac{1}{9}[/tex](x + 1)
for the "less" ;
[tex]\frac{1}{5}[/tex]x - [tex]\frac{1}{9}[/tex](x + 1) = 3
Multiply through by 45
45([tex]\frac{1}{5}[/tex]x) - (45) [tex]\frac{1}{9}[/tex](x + 1) = 3 x 45
9x - 5(x + 1) = 135
9x - 5x -5 = 135
4x = 135 + 5
4x = 140
x = 35
Now, x+1 = 35 + 1 = 36
The consecutive integers are 35 and 36
I think the answer is:
- 2(5x+3)/(x+1)(x-5)(x+3)
But another person said:
10x-6/(x+3)(x+1)(x-5)
Who is correct? *Btw for my answer the whole fraction is negative not just the top or bottom.*
What is the midpoint between (5,1) and (-1,4)
Answer:
2, [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given parameters:
Coordinates = (5,1) and (-1,4)
Unknown:
The midpoint = ?
Solution:
To find the midpoint of these endpoints;
this can be mathematically expressed as;
x[tex]_{m}[/tex] , y[tex]_{m}[/tex] = [tex]\frac{x_{1} + x_{2} }{2} , \frac{y_{1}+y_{2} }{2}[/tex]
From the given coordinates;
x₁ = 5 y₁ = 1
x₂ = -1 y₂ = 4
x[tex]_{m}[/tex] , y[tex]_{m}[/tex] = [tex]\frac{5+(-1)}{2}[/tex] , [tex]\frac{1 + 4}{2}[/tex] = 2, [tex]\frac{5}{2}[/tex]
Cube root of a negative number is
(a) Positive
(b) 0
(c)negative
(d)not define
Answer:
(c) negative
Step-by-step explanation:
hope this helps
What is the index in the expression
2
2?
Answer:
2
Step-by-step explanation:
Find the values of R, P, and Q that make the polynomial addition problem true. Write your answer in this order: R, P, Q. \left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7 (12x 5 +Rx 4 +Px 2 −5)+(−6x 5 −4x 4 +13x+Q)=6x 5 +3x 4 +9x 2 +13x+7
Given:
[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]
To find:
The values of R, P and Q.
Solution:
We have,
[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]
On combining like terms, we get
[tex](12x^5-6x^5)+(Rx^4-4x^4)+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]
[tex]6x^5+(R-4)x^4+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]
On comparing the coefficients of [tex]x^4[/tex], we get
[tex]R-4=3[/tex]
[tex]R=3+4[/tex]
[tex]R=7[/tex]
On comparing the coefficients of [tex]x^2[/tex], we get
[tex]P=9[/tex]
on comparing the constants, we get
[tex]Q-5=7[/tex]
[tex]Q=7+5[/tex]
[tex]Q=12[/tex]
Therefore, [tex]R=7,P=9[/tex] and [tex]Q=12[/tex].
a line with a slope of 1 passes through the point (18,15). What is its equation in slope-intercept form?
Answer:
y=x-3
Step-by-step explanation:
Equation of the line
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
We already have the value of m=1, but need to find b. To do this, we use the given point (18,15) and substitute the coordinates into the equation:
y=mx+b
15=(1)(18)+b
We have used the value m=1. Operating:
15=18+b
Solving:
b=-3
Thus, the equation of the line in slope-intercept form is:
y=x-3
856 divided by 57 somebody please help?
Answer:
15.0175439
Step-by-step explanation:
856/57 = 15.017
Please tell me if it is correct! :)
Which number line shows the solution to the inequality –2(3x – 1) < 8? A. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at minus one B. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity C. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at two D. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at two to infinity
Answer:
The correct option is B.
Step-by-step explanation:
The inequality is: -2(3x - 1) < 8.
Solve for x as follows:
-2(3x - 1) < 8
-6x + 2 < 8
-6x < 6
-x < 1
x > -1
The solution for x is in the interval (-1, ∞].
The number line will be:
B. Number lines from minus five by increment of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity
Antonio's dad bought gas for their family's ATV two weeks in a row. Last week, he bought 12 gallons for $35.40. This week, he bought 9 gallons for $25.83. How much more did Antonio's dad pay per gallon last week?
Answer: 0.08
Dont belive the dummy that said 0.30
Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.
Given information:
Antonio's dad bought gas for their family's ATV two weeks in a row.
Last week, he bought 12 gallons for $35.40.
This week, he bought 9 gallons for $25.83.
So, the cost of one gallon for last week is,
[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]
The cost of one gallon for this week is,
[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]
So, the extra charge paid by his dad for the last week for one gallon will be,
[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]
Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.
For more details, refer to the link:
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A portion of a map with cities A and B is shown. The map uses a scale of 1 inch =15 miles. You are making a map with a scale of 2 inches = 25 miles How far apart are cities A and B on your map?
Please help me solve this problem please
Answer:
x=11
Step-by-step explanation:
5x-6x-3=25-3x
5x+3x-6x=25-3
2x=22
x=11
Write 2.08 x 10^2 in standard form.
Answer:
208
Step-by-step explanation:
If you multiply 2.08 by ten to the second power (100) Then you get 208
Scientific notations are the way through which a very small or a very large number can be written in shorthand. The given expression can be written in the standard form as 208.
What are Scientific notations?Scientific notations are the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5e+12.
The given expression can be written in the form of an expression as shown below.
2.08 x 10²
= 2.08 × 100
= 208
Hence, the given expression can be written in the standard form as 208.
Learn more about Scientific notation here:
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Calvin starts a business and has to
take out a loan of $500. He makes
a profit of $200 during the first
month and then for the next two
months records a profit of $-20
and the fourth month made a
profit of $300. What is the total
profit for the first four months of
Calvin's business?
Answer:
-40
Step-by-step explanation:
ANSWER!!!!! PLEASE!!!!!! QUCKLY NOWWW!!!!
A candy manufacturing plant manufactures 18,000 pieces of candy in an 12 hour shift. The candy produced varies directly with the hours worked. How many pieces of candy can be manufactured in a 4 hour shift?
Answer:
6000 pieces of candy will be made in a 4 hour shift
Step-by-step explanation:
the ratio is 18000/12 if you find the unit it would be 1,500 pieces per 1 hour. multiply that by 4 and you would get 6000.
Consider the graph of the sixth degree polynomial f. Replace the values b, c and d to write function f.
f(x) = (x-b)(x-c)^2(x-d)^3
Answer:
f(x) = (x - 2)(x + 1)²(x - 4)³
Step-by-step explanation:
Multiplicity of a polynomial:
1). If the multiplicity is odd, the graph will cross the x-axis at that zero.
2). If the multiplicity is even, the graph will touch the x-axis at that zero.
Since the given graph is just touching the x-axis at x = -1 multiplicity for the zero (at x = -1) will be even.
Similarly, graph is crossing the x-axis at x = 2 and x = 4, multiplicity for the zero will be odd.
So, the function will be,
f(x) = (x - 2)(x + 1)²(x - 4)³
Answer:Answer : f(x)= (x-1)(x+1)^2(x-4)^3
Step-by-step explanation:
- You study 4 hours per day and are in class 6 hours
per day. Find the ratio of the number of study hours to
class hours.
Answer:
2/3
Step-by-step explanation:
Initially it would be 4/6 which you can simplify as 2/3
At what
interest rate
would Dalton have
to have to invest $3,600
to double his money in 10 years?
Answer: I think beetlejuice post the answer here look up jewtube
Solve for y 2x+5y=10
Answer:
y=2/5x−2
Step-by-step explanation:
HELP WITH THIS OLEASE I WILL MAKE BRWINLIST
Answer:
y=6x-2
Step-by-step explanation:
I THINK I DID THIS LAST YEAR SO IM NOT COMPLETELY SURE HOPE THIS HELPS:)
Answer:
y=1.2x-2
Step-by-step explanation:
add 6x to both sides (5y = 6x-10)
divide both sides by 5 (y = 1.2x - 2)
one point you will find on (0,-2) and another point will be (5,4)
you need at least 2 points to graph the line
1. This year 60 out of 300 students at Irons Middle School signed up for art. Next year, enrollment is expected
to increase to 340 students. About how many students will likely sign up for art?
If the domain of a relation is all whole numbers between 2.5 and 7.5, and the range contains 6 different values, can you determine whether the relation is a function? Explain your reasoning. Choose the correct answer below. A. The domain has more values than the range, so at least one range value is mapped to by more than one domain value. The relation is not a function. B. The domain has fewer values than the range, so there must be a domain value which maps to more than one range value. The relation is not a function. C. The domain has as many values as the range, but it cannot be determined whether the relation is a function with only the given information. D. The domain has as many values as the range, so each domain value maps to only one range value. The relation is a function.
Answer:
This relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.
Step-by-step explanation:
A relation is said to be a function if each and every element of the domain has a distinct value value in the range.
Domain of a relation is a set of all whole numbers between 2.5 and 7.5, and the range contains 6 different values.
Whole numbers between 2.5 and 7.5 are [tex]3,4,5,6,7[/tex]
This relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.
B. This relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.
As we know that:
A relation is said to be a function if each and every element of the domain has a distinct value value in the range.
It is given that Domain of a relation is a set of all whole numbers between 2.5 and 7.5, and the range contains 6 different values.
Now, whole numbers between 2.5 and 7.5 are:
[tex]3,4,5,6[/tex]
There are 4 numbers in the domain and 6 numbers in the range.
That is the elements in domain are less than the elements in the range.
Therefore, this relation is not a function as the domain has fewer values than the range, so there must be a domain value which maps to more than one range value.
Hence the correct option is A.
Learn more:https://brainly.com/question/2264373
3(7 + x) verbal expression
Answer:
21+3x
Step-by-step explanation:
multiply the 3 by everything inside the parentheses
which equaiton applies the assosiative property of multiplication
Answer:
3
Step-by-step explanation:
Item 10 Question 1 Solve the equation y/3=5 .
Answer:
y = 15
Step-by-step explanation:
y/3 = 5
Multiply each side by 3
y/3 *3 = 5*3
y = 15
misty is driving on a scenic road trip, and the graph shows the number of hours traveled compared to the number of miles of the trip remaining. Use the graph below to the answer.
Write an equation of the graph in slope-intercept form.
A. y=-100/3x+450
B. y=100/3x-450
C. y=450x+100/3
Answer:
omg im finding the answer too i go to bcms i see the travid isd thing on ur tabs
Step-by-step explanation:
Answer:
Option A. y=-100/3x+450 is correct.
Step-by-step explanation:
Please help! It’s fairly easy!
Answer:
see below
Step-by-step explanation:
This would be true if the lines are parallel. We have no information about the lines, so we cannot assume the lines are parallel, so we cannot use the corresponding angles theorem
Answer:
the lines arent parallel
Step-by-step explanation:
the corresponding angles theorem states if the transversal line goes through two parallel lines then the corresponding angles are congruent
Find the value of y given the value of x for y = 3 -4.3x when x = -3
Answer:
y = 15.9
Step-by-step explanation:
y = 3 - 4.3x
y = 3 - 4.3(-3)
y = 3 + 12.9
y = 15.9
Answer:
Step-by-step explanation:
y=3-4.3x
y=3-(4.3*3)
y=3-12.9
y=-9.9