Answer:
Fern will knit 32 scarves in 8 nights.
Step-by-step explanation:
Number of scarves knitted by Fern in 5 night = 20
Relation between number of scarves knitted and number of nights is proportional,
Therefore, Number of scarves knitted (s) ∝ Number of nights spent to knit the scarves (n)
s ∝ n
s = kn
k = [tex]\frac{s}{n}[/tex]
Here, k = proportionality constant
For s = 20 and n = 5,
k = [tex]\frac{20}{5}[/tex]
k = 4 scarves per night
For 8 nights, by using the same proportionality rule,
k = [tex]\frac{s}{8}[/tex]
4 = [tex]\frac{s}{8}[/tex]
s = 32 scarves
Therefore, Fern will knit 32 scarves in 8 nights.
Trevor is walking at the rate of 6 kilometers per hour. How many meters does Trevor walk in a minute?
Answer:
Trevor walks 100 meters in a minute.
Step-by-step explanation:
This question can be solved by proportions.
Trevor is walking at the rate of 6 kilometers per hour.
Each kilometer has 1000 meters, so he walks 6*1000 = 6000 meters per hour.
How many meters does Trevor walk in a minute?
An hour has 60 minutes.
6000/60 = 600/6 = 100
Trevor walks 100 meters in a minute.
ASAP pls solve quick and show work 0.5x + 2 = 10
Answer:
16
Step-by-step explanation:
0.5x + 2 = 10
-2 -2
0.5x =8
divide both sides by 0.5
x = 16
Someone answer this please
Answer:
x = -47/3
Step-by-step explanation:
R = 3x + 9y
7 = 3x + 9(6)
7 = 3x + 54
-47 = 3x
x = - 47/3
Can't be reduced because 47 is prime
Answer:
x= -47/3
Step-by-step explanation:
So the information we already have is
7 = 3x + 9 * 6
9 * 6 = 54
now it is
7 = 3x + 54
The equation can also be
3x + 54=7
First subtract 54 from both sides
3x + 54 - 54= 7 - 54
3x= -47
Then divide both sides by 3
3x/3= -47/3
x= -47/3
2*3=6 true or false?
Answer:
True
Step-by-step explanation:
2 + 2 + 2 = 6
3 + 3 = 6
Answer:
If this was your question,
[tex]2 \times 3 = 6[/tex]
=> True.
If this was what you meant then,
[tex] {2}^{3} = 8[/tex]
=> False.
If i have 23 liters in a bucket and i pour it into 4 smaller buckets, how many liters will each bucket have?? PLS HELP
Is it
A.)A=35,B=34
B.)A=28,B=34
C.)A=35,B=28
D.)A=34,B=28
Answer:
D. A=34, B=28
Step-by-step explanation:
In the bulletin points, it says that seconds 3-5 are decreasing. That means that those heights can't be higher than second 2 (34). The only option that works is option D.
----------------------
Option A is incorrect because it starts with 35ft which is higher than second 2(34) so that is automatically wrong.
Option B is incorrect because it is increasing instead of decreasing.
Option C is incorrect for the same reason as Option A: it starts with 35ft.
---------------------
Therefore, the only correct option is Option D.
Have a nice day!!
Personal Finance
Which of these statements is false?
All states have state income taxes.
Different states have different tax rates.
Some states consider some income to be tax free.
Some states tax all taxable income at the same rate; they have a flat tax rate.
Answer:
Some states consider some income to be tax free. this statement is false
it would probably go with one of the first 2. they sound opposite of each other. probably go with the first 1?
sorry if I'm wrong
I will mark the brainiest!
Answer:
B: 375 ft^2
Step-by-step explanation:
20 x 15 + 10 x 15/2 = 375
<.< I’m dum(b) so pls answer the ones I circled
Answer:
40x-100/4
-15x+6
Step-by-step explanation:
I'm not sure at all how to do this
Answer:
Step-by-step explanation:
Cos(Ф) = Adj / Hyp
Cos(Ф) = Adj / 5
use Pythagoras's
[tex]5^{2}[/tex] = [tex]2^{2}[/tex] +[tex]x^{2}[/tex]
25 - 4 = [tex]x^{2}[/tex]
21 = [tex]x^{2}[/tex]
[tex]\sqrt{21}[/tex] = x
Cos(Ф) = [tex]\sqrt{21}[/tex] / 5
(using the square root means the answer is exact. so leave it like that.)
The ending time is 8:22 P.M. and the elapsed time is 2 1/4 hours what’s the starting time?
Answer:
6:07
Step-by-step explanation:
8:22 minus 2 hours is 6:22, 1/4 an hour is 15 minutes so 22 minus 15 is 7, leading to the answer of 6:07 being your start time.
Find the probability that first marble picked is green and second marble picked is red.
Write your result as a percentage.
Answer:
20%
Step-by-step explanation:
3 green, 1 brown, 2 red
3 + 1 + 2 = 6
Total: 6
The probability of picking a green one is 3/6 or 1/2.
———————————————————————
2 green, 1 brown, 2 red
2 + 1 + 2 = 5
New total: 5
The probability of picking a red one is now 2/5.
———————————————————————
First, we multiply them by each other.
2/5 x 1/2 = 1/5
Next, we convert 1/5 to a percentage to get our final answer.
1/5 x 20 = 20/100, which is 20%.
So our final answer is 20%.
a recipe for sparkling water juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice
a. how much grape juice would you need to mix with 15/4 quarts of sparkling water
b. how much of each ingredients would you need to make 100 quarts of punch
Answer:
You would need 18 quarts of sparkling water to mix with 9 quarts of grape juice
Step-by-step explanation:
1 1/2 ---------> 3/4
x --------------> 9
We clear the value of x:
x = ((9) / (3/4)) * (1 1/2)
Rewriting we have:
x = ((9) * (4/3)) * (1 1/2)
x = (36/3) * (1 1/2)
x = (12) * (1 1/2)
x = (12) * (3/2)
x = 18
what expressions from the table are equivalent to that expression ?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The applicable rules of exponents are ...
[tex]\displaystyle\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\(x^a)^b=x^{ab}\\\\(xy)^a=x^ay^a[/tex]
8 On a map, a trapezoidal piece of farmland has base lengths of 1.25 inches and 1 inch, and a height of 1.1 inches. The scale on the map is 1 inch = 100 yards. What is the actual area of the farmland?
formula 3.35 times something
The height of a penny t seconds after being dropped down a well is given by the product
of (10 - 3t) and (10+ 31). Find the product and simplify.
Find the surface area of the figure.
8 ft
19 ft
14 ft
12.1 ft
5 ft
Answer:
132.00
Step-by-step explanation:
The surface area of the composite figure is S = 706.4 feet²
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the area of the figure be S = 2 ( area of trapezium ) + 2 ( area of opposite rectangles ) + ( area of smaller rectangle ) + area of larger rectangle
On simplifying , we get
2 ( area of trapezium ) = ( a + b ) x h
2 ( area of trapezium ) = ( 19 + 5 ) x 12.1
2 ( area of trapezium ) = 290.4 feet²
Now , 2 ( area of opposite rectangles ) = 2 ( 14 x 8 )
2 ( area of opposite rectangles ) = 224 feet²
Area of smaller rectangle = 5 x 8 = 40 feet²
Area of larger rectangle = 8 x 19 = 152 feet²
Therefore , S = 290.4 feet² + 224 feet² + 40 feet² + 152 feet²
S = 706.4 feet²
Hence , the area of the figure is S = 706.4 feet²
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Is -2 x 4 positive or negative? please help i have 19 missing assignments
Answer:
-8
Step-by-step explanation:
a negative number multiplied by a positive one gives as a result a negative number
-2 x 4 = -8
If LADC measures 61°, what does ZABC measure?
А
С
B
D
Answer:
122
Step-by-step explanation:
61 x 2 = 122
CAN YHU MARK ME BRAINLISTThe measurement of angle ABC is 122°.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
The general coordinate equation of a circle is:
(x-h)² + (y - k)² = r²
Where,(h, k) is the center of a circle, "r" is the radius of the circle.
Given, a figure of the circle that gives the center of the circle is B.
Since, the Centre angle is twice the size of the angle of the circumference, made by the same arc.
Since both angles, ∠ABC and ∠ADC are made by the same arc AC.
Thus,
The angle made on the center = 2 * the angle made on the circumference,
The angle made on centre = 2 * 61
The angle made on center = 122°
Therefore, The measurement of angle ABC is 122°.
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How many different triangles can you make if you are given these two lengths for sides?
The number of triangles is an illustration of Triangle Inequalities theorem
There are infinitely many triangles that can be made given two side lengths
How to determine the number of triangles?The side lengths of two sides are given as 18 inches and 25 inches.
Assume the third side of the triangle is x
Using the Triangle Inequalities theorem, we have:
a+b > cb+c > a,c+a > bSo, we have:
x +18 > 25
x > 7
x + 25 > 18
x > -7.
18 + 25 > x
x < 43.
Ignore the negative value.
So, we have the solution set to be 7 < x < 43.
This means that the third side can take any value between 7 < x < 43.
Hence, there are infinitely many triangles.
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Which equation represents a circle with a center point of (-2,3) that passes through the point (4, -3)?
PLEASE HELP ASAP IM GIVING BRAINLIEST
Answer:
[tex]A) (x+2)^{2} +(y-3)^{2} =72[/tex]
Step-by-step explanation:
[tex]Radius=\sqrt{(4+2)^{2}+(-3-3)^{2} }[/tex]
[tex]=\sqrt{6^{2} +6^{2} } =6\sqrt{2 }[/tex]
[tex]equation:[/tex]
[tex](x+2)^{2}+(y-3)^{2} =(6\sqrt{2}^{2})\\[/tex]
[tex](x+2)^{2}+(y-3)^{2} =72[/tex]
-----------------------------------
hope it helps...
have a great day!!
The equation represents a circle is option (A) (x+2)^2 +(y-3)^2 = 72 is the correct answer.
What is a circle?A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The center of the circle, (h,k) = (-2,3)
The point on the circle, (x,y) = (4,-3)
The radius of the circle is
[tex]r=\sqrt{(h-x)^{2} +(k-y)^{2} }[/tex]
⇒ [tex]r=\sqrt{(-2-4)^{2} +(3-(-3))^{2} }[/tex]
⇒ [tex]r=\sqrt{6^{2}+6^{2} }[/tex]
⇒ [tex]r=\sqrt{72}[/tex]
The formula of equation of circle is
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
The circle has the center (h,k) = (-2,3) and radius is √72,
⇒ [tex](x-(-2))^{2}+(y-3)^{2}=(\sqrt{72} )^{2}[/tex]
⇒ [tex](x+2)^{2}+(y-3)^{2}=72[/tex]
Hence we can conclude that the equation represents a circle is option (A) [tex](x+2)^{2}+(y-3)^{2}=72[/tex] is the correct answer.
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A company sells $982 worth of
merchandise this month. This is $40
more than twice the amount
they sold last month. Write a equation
to determine how much they sold
last month.
Answer:
2x+40=982
Step-by-step explanation:
simplify (4x-2)+3(x+7)
Answer:
7x+19
Step-by-step explanation:
A grocery store collected sales data. It found that when customers buy less bread, they tend to purchase more rice. What can we conclude?
Answer:
There is a correlation between amount of bread bought and amount of rice purchased. However, there is no causation. This is because there is an increase in the amount of rice purchased with a decrease in the amount of bread bought.
Step-by-step explanation:
We see that there is a correlation between the amount of bread and the amount of rice bought .
When the bread is bought the amount of rice drops and when the amount of bread is decreased the amount of rice increases.
There is no causation meaning there is no direct affect of buying more bread or rice.Buying of rice does not directly cause the purchase of bread.
Hence there is correlation but not causation.
Correlation and causation can occur at the same time when one event causes the other.
Marty has read 32% of his 400-page library book. How many pages has Marty read?
Answer:
128 pages
Step-by-step explanation:
[tex]0.32*400[/tex]
[tex]=128[/tex]
In total, Marty had read 128 pages of his book.
What are the coordinates of the point labeled A in the graph shown above?
Question 4 options:
A)
(–2, 4)
B)
(2, 2)
C)
(–2, 2)
D)
(2, –2)
Answer:
The coordinates of the point labeled A in the graph shown is (2,-2). The 2 is in the x axis while -2 is in the y axis of the graph while point B is in coordinates (-2,-2) and point C is in coordinates (-2,4).
Answer:
i need a picture
Step-by-step explanation:
i cant see anything im not gonna be able to answer this
[tex]f(x)=1/3(4-x)² what is the value of f(16)[/tex]
Answer:
wheneveryouseeanxonthe
rightputa16thatwhatf(16)
means.
f(16)=
3
1
(4−16)
2
f(16)=
3
1
(−12)
2
f(16)=
3
1
(144)
f(16)=48
[isyouranswer]
Step-by-step explanation:
mark me as brainliest.oky?
The two figures are similar. Complete sentences
a) Write the similarity statement.
b) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
c) What is the scale factor? Explain
Answer:
a)ABC ≅ A'B'C' (SSS) b) Enlargement c) Scale factor = 4
Step-by-step explanation:
a) ABC ≅ A'B'C' (SSS)
b) The figure is going through an enlargement, this is evident as the figures have a scale factor of 4. If we were to put them into a fraction like this -
6/24=12/48=15/60
The figures are getting bigger, so they are going through an enlargement.
c) To find the scale factor of like done above, we could put them into a ratio.
6/24=12/48=15/60
Which would result in the scale factor of 4.
Select the correct answer.
Which phrase refers to the legal act of lowering an individual’s tax liability?
A.
mill levy
B.
tax avoidance
C.
tax evasion
D.
underreporting income
Answer:
A tax is a compulsory financial charge or some other type of levy imposed on a taxpayer by a governmental organization in order to fund government spending ...
Answer:
B.) Tax Avoidance
Step-by-step explanation:
Tax avoidance is the use of legal methods to minimize the amount of income tax owed by an individual or a business.
Credit: Investopia.com
What is the measure of the missing angle
Answer:
dont you just subtract 90-61 to get 29 since a triangle is 90 degrees