Answer:
5/6 of a cup of brown sugar
Step-by-step explanation:
45 divided by 18 equals 2.5.
So, 2.5 times 1/3 of a cup equals 5/6 of a cup of brown sugar.
The number of cups of brown sugar needed is 5/6 cups.
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
The ratio of brown sugar to cookies is [tex]\frac{1}{3}[/tex] : 18. In order to determine the amount of brown sugar needed for 45 cookies, use this formula:
Number of cookies = (45 x [tex]\frac{1}{3}[/tex] ) / 18 = 15 / 18 = 5/6
To learn more about ratios, please check: https://brainly.com/question/17995727?referrer=searchResults
Which number is rational?
ΟΟΟ
T
10
16
Answer:
[tex]10[/tex]
[tex]16[/tex]
Explanation:
A rational number is a number that can be expressed as the quotient or fraction of two integers.
make x the subject of the formula a=b(1-x)
Answer:
x = -(a - b)/b
Step-by-step explanation:
Solve for x:
a = b (1 - x)
a = b (1 - x) is equivalent to b (1 - x) = a:
b (1 - x) = a
Divide both sides by b:
1 - x = a/b
Subtract 1 from both sides:
-x = (a - b)/b
Multiply both sides by -1:
Answer: x = -(a - b)/b
Percentages please answer the question in picture attached
Answer:
42%
Step-by-step explanation:
there are 4 full colums (sorry for spelling, not english) that have 10 levels each, that add up to 40. then you sum the extra two squares
sorry, i didnt know it required explanation!
Answer:
We can find out how many columns are shaded and we can see that 4 full columns are shaded. Then we count 2 extra squares. We multiply the columns by 10 and get 40. Then we add the extra squares at the end and get 42. Therefore the answer is:
Answer: 42find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). 50 POINTS!!!!!!! -5 with multiplicity 3 5 with multiplicity 3 -9 with multiplicity 2 9 with multiplicity 2 -1 with multiplicity 0 -1 with multiplicity 1 1 with multiplicity 0 1 with multiplicity 1
Answer:
The answer to this question can be described as follows:
-5 with multiplicity 3
9 with multiplicity 2
-1 with multiplicity 1
Step-by-step explanation:
Given:
[tex]\Rightarrow f (x) = (x + 5)^3(x - 9)^2(x + 1)[/tex]
Solve the above equation:
[tex]\Rightarrow f (x) = (x + 5)(x + 5)(x + 5)(x - 9)(x - 9)(x + 1)\\[/tex]
The roots of the polynomial are as follows:
[tex]\Rightarrow (x-x_1)(x-x_2)(x-x_3)......(x-x_n)\\\\\Rightarrow x_1,x_2,x_3.........x_n[/tex]
That's why the roots are:
5 with multiplicity 3
9 with multiplicity 2
-1 with multiplicity 1
Answer:
answer:
a. -5 with multiplicity 3
d. 9 with multiplicity 2
f. -1 with multiplicity 1
Step-by-step explanation:
name the property used in the following -2/7+0=0+-2/7=-2/7
Answer:
commutative propertyidentity elementStep-by-step explanation:
-2/7+0 = 0+-2/7 . . . . commutative property of addition
The commutative property allows you to swap the order of operands being summed.
0+-2/7 = -2/7 . . . . identity element of addition
The identity element for addition is 0. That is, adding 0 to anything does not change its value.
The length of a rectangular swimming pool is p m and its width is q m. It is given that the length of the swimming pool is twice its width. If the perimeter of the swimming pool is 150 m, find the values of p and q.
(**please use the simultaneous linear equations in two variables to solve this question)
**if you have answer this question I will choose you to be the brainlest answer**
Answer: q = 25 m, p = 50 m
Step-by-step explanation:
p is the length, and q is the width.Since the length is twice as long as the width, we can come up with the equation: p = 2qSince the perimeter is 150, we can also come up with this formula since the perimeter is all sides added together: 2p + 2q = 150Since we have two equations, we can just plug them into each other. First, let's substitute the 2q in the second equation with p that is defined in the first equation: 2p + p = 150If we simplify that, we get: 3p = 150Now we know that p = 50 m.Now, if you plug in 50 into the first equation you get: 50 = 2q.Next, just simplify, and you know that q = 25 m.Therefore, p = 50 m, q = 25 m.Xavier can work no more than 40 hours in a week. He has already worked 24 hours this week. What is the maximum number of 8-hour days Xavier can work for the rest of the week?
Answer:
He can work a maximum of 2 8-hour days for the remainder of the week
Step-by-step explanation:
Firstly, from the question, we are made to know that the maximum work hours is 40 hours.
Now, we know that he has already worked 24 hours this week, the number of hours remains to work will be 40-24 = 16 hours
Now, given that his working hour is 8-hours per day, we want to know the number of days he has to work for the remainder of the week
Mathematically, that would be 16 hours divided by 8-hours days
That is 16/8 = 2
Answer:
2
Step-by-step explanation:
just took the test
the tires of a tractor are 5.25 feet tall. what measure would help to find how many feet the tractor will travel in 1 rotation
and how many feet would it travel
Answer:
16.485 feet
Step-by-step explanation:
Given that tire is 5.25 feet tall
any circular shape is as tall as its diameter.
we can say that diameter of tire is 5.25 feet.
in one rotation tire will start from one point of tire and reach it again.
it is like on a circle moving from on one point and then reaching to same point.
and we know that distance covered on moving on the point of circle is equal to circumference.
Thus, measure of circumference would help to find how many feet the tractor will travel in 1 rotation.
circumference of circle is given by [tex]\pi D[/tex]
where D is the diameter of circle.
we will us 3.14 as value of [tex]\pi[/tex]
thus, circumference of circle is[tex]\pi * 5.25 = 3.14*5.25 = 16.485[/tex]
Hence, tractor would travel 16.485 feet in one rotation.
please help i will give brainliest answer
Answer:
circumference = 2πr
2×π×6
12πmm
Given:
Radius of circle = 6 mm
Work out :
Workout the circumference of this circle?
Formula used:
Circumference of circle = 2πr
Solution:
According to the question,
Circumference of circle = 2πr
= 2 × π × 6
= 12 π mm
What is the perimeter P of △DEF to the nearest whole number?
Answer:
Can you please tell me what is the area of the given triangle?
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!
Answer:
10x^4 - 4x + 6
Explanation:
Just take the width of the rectangle and multiply each number by 2, including the exponent.
Answer & Step-by-step explanation:
We can solve this problem by multiplying the the expression by 2 one term at a time just like it is shown in the diagram. Your exponent will remain the same.
(5x² * 2) + (-2x * 2) + (3 * 2)
10x² - 4x + 6
So, once you multiply th terms togehter, your final answer will (10x²-4x+6)
A circle is centered at D(-1,3). The point G(-10,1) is on the circle.
Where does the point J(-3, 12) lie?
Answer:on the circle
Step-by-step explanation:
Point J(-3, 12) is lying on the circle whose center is located at point D(-1, 3).
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have a center of the circle at D(-1, 3)
And point G(-10, 1) is on the circle.
We know the standard equation of the circle when a center is given:
[tex]\rm (x-h)^2+(y-k)^2=r^2[/tex]
Where r is the radius of the circle and (h, k) is the center of the circle.
Here (h, k) ⇒ (-1, 3)
The circle equation becomes:
[tex]\rm (x+1)^2+(y-3)^2=r^2[/tex]
Put the point on the circle equation to get the radius of the circle:
[tex]\rm (-10+1)^2+(1-3)^2=r^2[/tex]
[tex]\rm (-9)^2+(-2)^2= r^2\\\\\rm 81+4 = r^2\\\\ \rm r = \sqrt{85} \ units[/tex]
Equation of circle is:
[tex]\rm (x+1)^2+(y-3)^2=85[/tex]
Now put the point J(-3, 12 ) in the circle equation:
[tex]\rm (-3+1)^2+(12-3)^2=85[/tex]
4+ 81 ⇒ 85
It means point J is lying on the circle.
Thus, point J(-3, 12) is lying on the circle whose center is located at point D(-1, 3).
Learn more about circle here:
brainly.com/question/11833983
A B R and P are four points on a circle with centre 0. A O R and C are four points on a different circle. The two circles intersect at the points A and R . CPA CRB and AOB are straight lines. If angle CAB=x prove that angle ABC=x and reason on the Each statement must have a valid reason same line as the statement.
Answer:
x° = ∠OBR = ∠ABC (base angles of a cyclic isosceles trapezoid)
Step-by-step explanation:
APRB form a cyclic trapezoid
∠APO = x° (Base angle of an isosceles triangle)
∠OPR = ∠ORP (Base angle of an isosceles triangle)
∠ORB = ∠OBR (Base angle of an isosceles triangle)
∠APO + ∠OPR + ∠OBR = 180° (Sum of opposite angles in a cyclic quadrilateral)
Similarly;
∠ORB + ∠ORP + x° = 180°
Since ∠APO = x° ∠ORB = ∠OBR and ∠OPR = ∠ORP we put
We also have;
∠OPR = ∠AOP = ∠BOR (Alternate interior angles of parallel lines)
Hence 2·x° + ∠AOP = 180° (Sum of angles in a triangle) = 2·∠OBR + ∠BOR
Therefore, 2·x° = 2·∠OBR, x° = ∠OBR = ∠ABC.
The scatter plot shows the number of oranges picked, in hundreds, in relation to the number of lemons harvested, in hundreds, by several farmers.The scatter plot shows the number of oranges picked, in hundreds, in relation to the number of lemons harvested, in hundreds, by several farmers.
Complete Question:
The scatter plot shows the number of oranges picked, in hundreds, in relation to the number of lemons harvested, in hundreds, by several farmers. According to the plot, which value is the best estimate of the correlation coefficient of the data?
A.-0.2
B. -0.9
C. 0.9
D. 0.2
*See attachment for the scatter plot
Answer:
C. 0.9
Step-by-step explanation:
If we take a good look at the scatter plot in the attachment showing numbers if oranges picked in relation to number of lemons harvested, we can infer that there's a strong positive correlation between both variables.
Thus, both variables are moving in the same direction. As one variable increases, the other variable increases. Also, the data points represented on the plot seem clustered close to the line rather than farther away.
This will suggest a positive correlation coefficient that is closer to 1.
From the options given above, the best estimate of the correlation coefficient would be 0.9.
The answer is C. 0.9
Find the error in the student's calculation.
23(2 - 4) + 5(3 - 8)
23(-2) + 5(5)
8(-2) + 25
-16 + 25
9
Answer: the 5 in the parentheses on the second line should be negative. Also, where did the 23 go?? That's a mistake too.
Step-by-step explanation: 3 - 8 = -5 so
23(2 - 4) + 5(3 - 8)
23(-2) + 5(-5)
(-46) + (-25)
-71
(at least, I think so unless there was a mistake in the equation)
Find the volume of a pyramid with a square base, where the perimeter of the base is
15.8 ft and the height of the pyramid is 20.4 ft. Round your answer to the nearest
tenth of a cubic foot.
(It’s on deltamath)
The volume of the given pyramid is 106.1 cubic foot.
To Find the Volume of a pyramid with a square base
Given:
The perimeter of the base is 15.8 feet
The base of the pyramid is square given of side say L .
Thus, from the formula of perimeter of square,
⇒ 4*L = 15.8 feet
∴ L = 3.95 feet
Now the base area of the pyramid is [tex]L^{2}[/tex] as it is a square .
∴ Base area = 3.95*3.95 square feet
= 15.6025 square foot
Now, formula for volume of the pyramid
= 1/3 * base area * height
⇒ Volume = 1/3 * 15.6025 * 20.4 cubic foot
∴ Volume = 106.097 cubic foot
Thus volume of the given pyramid is 106.1 cubic foot rounded off to nearest tenth.
To Learn how to calculate volume of a pyramid, refer:
https://brainly.com/question/2427278#SPJ2
f(x)=4x+1 and g(x)=x^2-5 find f+g (x)
Answer & Step-by-step explanation:
When we see (f + g)(x), it means that we are adding together f(x) and g(x).
f(x) = 4x + 1
g(x) = x² - 5
(f + g)(x) = (4x + 1) + (x² - 5)
Combine like terms and make sure x² is in the front of the expression so you are following the rules of exponents when in standard form.
(f + g)(x) = x² + 4x - 4
So, (f + g)(x) equals x² + 4x - 4
The table shows the age, in years, of employees in a company.
Age (a) in years
Frequency
18 < a < 20
3
20 < a < 22
2
22 < a < 24
7
24 < a < 26
8
0
26 < a
a) Find the modal class interval.
Channing bought a new bike that retails for $299. If the store is currently
running a promotion for 15% off and the sales tax in her state is 7%, what is
Channing's total at checkout?
it should be 271.94
Answer:
299/100*85=$254.15 + 7% = 254.15/100*107= $ 271.9405
Step-by-step explanation:
1. $299/100*85=$254.15 + 7% sales Tax = $ 271.9405
Can the distributive property be used to rewrite 6(9 - 4) ?
Answer:
yes distribute . . .
Step-by-step explanation:
the 6 to the 9 and the 4
6(9) - 6(4)=30
What is MZM
Enter your answer in the box.
Answer: m√M = 98°
Step-by-step explanation:
x + x + 6 + 3x - 16 = 180
5x - 10 = 180
5x = 180 + 10
x = 190 / 5 = 38
m√M = 3x - 16
= 3(38) - 16
= 98°
Answer:
m<M = 98 deg
Step-by-step explanation:
Theorem
The sum of the measures of the angles of a triangle is 180 degrees.
Now we set the sum of the measures of the angles equal to 180 and solve for x.
3x - 16 + x + 6 + x = 180
5x - 10 = 180
5x = 190
x = 38
Now that we know x, we substitute x with 38 in the expression for the measure of angle M.
m<M = 3x - 16
m<M = 3(38) - 16
m<M = 114 - 16
m<M = 98
0.895 95 repeating as a simplified fraction
Answer:
89595/100000
Step-by-step explanation:
NEED HELP: What is the solution to 3(2x – 4) + 2(x + 7) = 6
Answer:
1/2
Step-by-step explanation:
3(2x – 4) + 2(x + 7) = 66x-12+2x+14=68x+2=68x=4x=4/8x=1/2someone please help with this question
Answer:
230
Step-by-step explanation:
9 times 20 = 180
divide by 2 = 90
7 times 20 = 140
140 + 90 = 230
Answer:
A=230 cm2
Step-by-step explanation:
A1= L x W HEIGHT OF TRIANGLE=16-7=9
A1=20 x 7
A1=140 cm2
A2=1/2 x B x H
A2=1/2 x 20 x 9
A2=90 CM 2
plz help!
solve for p
Answer:
p = - 5i or p = 5i
Step-by-step explanation:
Noting [tex]\sqrt{-1}[/tex] = i
Given
p² = - 25 ( take the square root of both sides )
p = ± [tex]\sqrt{-25}[/tex] = ± [tex]\sqrt{25(-1)}[/tex] = ± 5i
Thus
p = - 5i or p = 5i
Because p squared is equal to -25, the square root of -25 is equal to p.
Because of this, finding the square root of -25 will give us our answer.
[tex]\sqrt{-25}[/tex] = 5i
Therefore, p = 5i or p = [tex]\sqrt{-25}[/tex].
Hope this helped! :)
Can someone help me with this problem?
Answer:
(5s + 8) is the missing factor.
Step-by-step explanation:
The given expression is 5s² + 23s + 24
We have to convert the given expression into the factored form.
One factor of the expression has been given as (x + 3)
5s² + 23s + 24 = 5s²+ 15s + 8s + 24
= 5s(s + 3) + 8(s + 3)
= (5s + 8)(s + 3)
So the factors of the expression will be (s + 3) and (5s + 8)
Therefore, the missing factor of the given expression is (5s + 8).
Mr. Jackson rented a storage unit in the shape of a rectangular prism. The volume of the unit is 230 cubic yards. The storage unit is 5 and 3/4 yards wide and 10 yards long. What is the height of the storage unit?
Answer:
4 yards
Step-by-step explanation:
the formula for finding the volume of a shape is volume= to length times with times how tall it is. In this case we do not have the hight so we make a formula. 5 and 3/4 times 10 times hight = to 230. If you do the math you get 4 yards as the answer.
Answer:4 yards
Step-by-step explanation:
At my apartment I have a closet with 250 ft3 worth of space. If each of my spherical cannonballs have a radius of .75 feet, how many can I fit in my closet?
Answer:
141
Step-by-step explanation:
We need to first find the volume of the cannonballs and then, divide the volume of the closet by the volume of the cannonballs.
The radius of the spherical cannonball is 0.75 feet.
The volume of a sphere is:
[tex]V = \frac{4}{3} \pi r^3[/tex]
where r = radius
Therefore, the volume of the cannonballs is:
[tex]V = \frac{4}{3} * \pi * 0.75^3\\\\V = 1.77 ft^3[/tex]
Therefore, the number of cannonballs that can fit the closet is:
250 / 1.77 = 141.24
Since the number is a maximum and it must be a whole number, the number of cannonballs that can fit the closet is 141.
Solve for x. (1/4)(5x−3) > (1/2)x + (1/3)
Answer:
x >13/9
Step-by-step explanation:
(1/4)(5x−3) > (1/2)x + (1/3)
Distribute
5/4x - 3/4 > 1/2x + 1/3
Multiply each side by 12 to get rid of fractions
12*5/4x -12* 3/4 >12* 1/2x +12* 1/3
15x -9 > 6x +4
Subtract 6x from each side
15x-6x-9 > 6x-6x+4
9x -9> 4
Add 9 to each side
9x-9+9 > 4+9
9x > 13
Divide by 9
9x/9 >13/9
x >13/9
Answer:
3/4
Explanation:
Took the test of K12 and it's right.What is the scale factor of AABC to A DEF?
Answer: D
Step-by-step explanation:
the scale factor is 6
Triangle ABC has the lengths 4,2,4 and DEF has the lengths 24,12,24
so for the triangle ABC's lengths to become triangle DEF is is supposed to be multiplied by 6
4*6= 24
2*6= 12
4*6= 24
