Answer: The concentration of the mixture is 0.5 p % .
Step-by-step explanation:
Given: 5 gallons of p% boric acid is mixed with 5 gallons of water.
Amount of boric acid = p% of 5 gallons
[tex]=\dfrac{p}{100}\times5\text{ gallons}= 0.05p\text{ gallons}[/tex]
Total solution : 5 +5 = 10 gallons
then, the concentration of the mixture = [tex]\dfrac{\text{Amount of boric acid in solution}}{\text{Total solution}}\times100[/tex]
[tex]=\dfrac{0.05p}{10}\times100\\\\=0.5p[/tex]
Hence, the concentration of the mixture is 0.5 p % .
Answer:
0.5p% is the answer
4 ft
8 ft
3 ft
2 ft
6 ft
What is the volume of the composite figure
An annual salary is $45000. His tax free allowances total $13000. He has to pay a tax of 20% on his taxable income.
The tax payable is?
Answer:
6400
Step-by-step explanation:
Taxable amount=45000-13000=32000
tax=32000*20/100
=6400
2^2(3-8)÷5-1 please help
Answer:
-5
Step-by-step explanation:
2^2*(3-8)÷5-1
4*(-5)÷4
-20÷4
=-5
Answer:
-5
Step-by-step explanation:
Firstly 2^2=4, 4(3-8)=4*(-5)= -20, -20/5 -1= -4-1= -5
PLEASE HELP Jane has twice as many cousins as James. Bryan has 5 cousins, which is 11 less that Jane has. How many cousins does James have?
Answer:
James has 8 cousins
Step-by-step explanation:
Bryan =5
Jane =Bryan + 11=5+11=16 ( Bryan has 11 cousins less than Jane)
James: 1/2 Jane=16/2=8 cousins ( Jane has twice as James)
Molly was curious if quadrilaterals ABCDABCDA, B, C, D and EFGHEFGHE, F, G, H were congruent, so she tried to map one figure onto the other using transformations
Answer:
The answer is below
Step-by-step explanation:
A transformation of a point is the movement of an point from an initial position to a new position. If an object is transformed, all the point of an object is transformed. Two figures are said to be congruent if they have the same shape and the measure of each of their sides are the same.
An object is congruent to another object if the object can be mapped to the other object when transformed.
Answer:
The answer is c
Step-by-step explanation:
It is the correct solution because you are able to map circle m onto m
Given the formula below, solve for x.
- Vi
ОА.
+ 11
B.
y – 9 + fi
O c.
Ử - VI
m
-fi
D.
mly – yy)
Answer:
Option (C)
Step-by-step explanation:
Given formula of a line passing through [tex](x_1, y_1)[/tex] and slope 'm' is,
[tex]y-y_1=m(x-x_1)[/tex]
Further solving this equation,
[tex]y-y_1=mx-mx_1[/tex] [By distributive property]
[tex]y-y_1+mx_1=(mx-mx_1)+mx_1[/tex] [By adding [tex]mx_1[/tex] on both the sides]
[tex]y-y_1+mx_1=mx[/tex]
[tex]\frac{y-y_1-mx_1}{m}=\frac{mx}{m}[/tex] [Divide the equation by m]
[tex]\frac{y-y_1}{m}-x_1=x[/tex]
Therefore, Option (C) will be the answer.
Together, two apples have 1/5 gram of fat. How many apples have a total of 4 grams of a
apples
Answer:
40 apples
Step-by-step explanation:
2 apples= [tex]\frac{1}{5}[/tex] grams
x apples= 4 grams
8/[tex]\frac{1}{5}[/tex] = 8 x 5/1=40
Answer:
40
Step-by-step explanation:
edu instruction correct
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the weights in pounds of 11 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that sport's league? 293 255 264 240 190 295 199 184 293 205 199
Answer:
A.) Mean = 237.9
B.) Median = 240
C.) Mode = 199
D.) Midrange = 239.5
Step-by-step explanation:
The given data are :
293 255 264 240 190 295 199 184 293 205 199
The mean = (sum of X) / f
Where frequency f = 11
X = 293 + 255 + 264 + 240 + 190 + 295 + 199 + 184 + 293 + 205 + 199
X = 2617
Substitute X and f into the formula
Mean = 2617/11
Mean = 237.9 approximately
B.) To get the median, you need to first rearrange the data, then pick the middle number.
184 190 199 199 205 240 255 264 293 293 295
The median = 240
C.) The mode is the highest frequency. That is the most occuring number
Mode = the two most occuring numbers are 199 and 293
D.) Range = highest number - lowest number
But midrange = (highest number + lowest number ) ÷ 2
Highest number = 295
Lowest number = 184
Substitute into the formula
Midrange = (295 + 184)/2
Midrange = 479/2
Midrange = 239.5
if cos 0=2/3, what are the values of sin 0 and tan 0?
Answer:
Below
Step-by-step explanation:
● cos O = 2/3
We khow that:
● cos^2(O) + sin^2(O) =1
So : sin^2 (O)= 1-cos^2(O)
● sin^2(O) = 1 -(2/3)^2 = 1-4/9 = 9/9-4/9 = 5/9
● sin O = √(5)/3 or sin O = -√(5)/3
So we deduce that tan O will have two values since we don't khow the size of O.
■■■■■■■■■■■■■■■■■■■■■■■■■
●Tan (O) = sin(O)/cos(O)
● tan (O) = (√(5)/3)÷(2/3) or tan(O) = (-√(5)/3)÷(2/3)
● tan (O) = √(5)/2 or tan(O) = -√(5)/2
Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial fee of $52 and then they charge her $8 per hour. She has $144 Available to spend on a car rental. What is the greatest number of hours for which she can rent the car?
Answer:
11 hours
Step-by-step explanation:
First, you have to subtract 144-52= 92. After the initial fee, she has 92 dollars to spend on the car. Then, you divide 92 by 8 because it costs 8 dollars an hour. And this gets you 11.5 which you would have round down because she can't pay for the extra hour. She does not have enough money.
what is 1 add 1 please help!!!!!!!!!!!!!!!PS first person to get it correct gets brainiest
Answer: 2
Step-by-step explanation:
Answer:
2...........
Step-by-step explanation:
1 + 1 = 2............
Can someone tell me the answer it would really help 3(x−2)+1 =
Step-by-step explanation:
3(x-2)+1
= 3x-6+1
= 3x-5
Answer:
Step-by-step explanation:
3(x-2)+1=
Then distribute, and now you get:
3x-6+1=
Now combine like terms, and now you get:
3x-5=
There is nothing much to do because there isn't a answer for it
plz help me x+y=7
x=3-y
Answer:
no solution
Step-by-step explanation:
x+y=7
x=3-y
Substitute the second equation into the first
(3-y) +y = 7
Combine like terms
3 = 7
This is never true so there is no solution
Answer:
[tex]\boxed{\mathrm{No \: solution}}[/tex]
Step-by-step explanation:
x + y = 7
Plug x = 3 - y
3 - y + y = 7
Combine like terms.
3 = 7
No solution.
Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was three eighths the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television
Answer:
32 inches by 64 inches
Step-by-step explanation:
Since the generic television is [tex]\frac{3}{8}[/tex] the size of the brand name.
Then the brand name is [tex]\frac{8}{3}[/tex] the size of the generic, thus
[tex]\frac{8}{3}[/tex] × 12 = 32
[tex]\frac{8}{3}[/tex] × 24 = 64
Thus dimensions are 32 inches by 64 inches
Answer:
The dimensions are 32 inches by 64 inches
Write the equations after translating the graph of y = |x|:
one unit up,
Answer:
y = | x | + 1
Step-by-step explanation:
Given y then y + c represents a vertical translation of y
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 1 unit up, thus
y = | x | + 1
(05.02 LC)What is the area, in square inches, of the figure shown here? A parallelogram with a height of 4inches is shown. The height of the parallelogram is used to divide the side of the parallelogram into 5 inches, which is the length (or side) of the rectangle, and into 4 inches, which is the base of the triangle formed by the division. 20 in2 24 in2 32 in2 36 in2
Answer:
36 in²
Step-by-step explanation:
The figure that is been described is a Parallelogram.
The area of a Parallelogram is = Base × Height
From the question, the Height of the Parallelogram = 4 inches
The Base of the Parallelogram is calculated as the Length or base of the rectangle + base of the triangle
= 5 inches + 4 inches
= 9 inches
Area of the Parallelogram = 9 inches × 4 inches
= 36 square inches or 36 in²
Answer:
20 INCHES SQUARED
Step-by-step explanation:
write the expression in radical form. (88c)^2/3
Answer:
[tex]\sqrt[3]{88c^{2} }[/tex]
Step-by-step explanation:
If we have a term to a fractional power, that’s the same as finding the denominator root of the number - if the numerator of the fraction isn’t 1, then the term itself inside the root sign becomes the term to the numerator power.
So - since the denominator of this fraction is 3, we find the cube root of 88c. Since the numerator is 2, we square 88c.
[tex]\sqrt[3]{88c^{2} }[/tex].
Hope this helped! (By the way, this was my 100th answer!)
Please answer this question now
Answer:
469.4ft²
Step-by-step explanation:
We have Triangle WXY
In the question, we are given already
Angle W = 27°
Angle X = ?
Angle Y = 40°
Side w =?
Side x = ?
Side y = 38ft
Area of the triangle= ?
Step 1
We find the third angle = Angle X
Sum of angles in a triangle = 180°
Third angle = Angle X= 180° - (27 + 40)°
= 180° - 67°
Angle X = 113°
Step 2
Find the sides w and x
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle WXY
w/ sin W = x/ sin X = y/ sin Y
We have the following values
Angle W = 27°
Angle X = 113°
Angle Y = 40°
We are given side y = 38ft
Finding side w
w/ sin W= y/ sin Y
w/sin 27 = 38/sin 40
Cross Multiply
sin 27 × 38 = w × sin 40
w = sin 27 × 38/sin 40
w = 26.83879ft
w = 26.84ft
Finding side x
x / sin X= y/ sin Y
x/ sin 113 = 38/sin 40
Cross Multiply
sin 113 × 38 = x × sin 40
x = sin 113 × 38/sin 40
x = 54.41795ft
x = 54.42ft
To find the area of triangle WXY
We use heron formula
= √s(s - w) (s - x) (s - y)
Where S = w + x + y/ 2
s = (38 + 26.84 + 54.42)/2
s = 59.63
Area of the triangle = √59.63× (59.63 - 38) × (59.63 - 26.84 ) × (59.63 - 54.42)
Area of the triangle = √
Area of the triangle = 469.40772706541ft²
Approximately to the nearest tenth =469.4yd²
5/8 of the staff are male. 5/12 of the staff works part time at the aquarium.What fraction of the staff is female?
Answer:
3/8
Step-by-step explanation:
If 5/8 of the staff is male, then 8/8 is the total number of staff.
8/8 - 5/8 = 3/8
3/8 of the staff is female.
Hope this has helped. If the question has more to it, then please specify.
find the coordinates of the point satisfying lying on x axis at a distance of 5 units to the right of x axis lying on y axis at a distance of 3 units below the orgin
Answer:
(5, -3)
Step-by-step explanation:
Coordinates are located on Cartesian planes (more like locating a point on a graph). Cartesian coordinates can be two dimensional or three dimensional in nature depending on the number of axis we are considering. For the question, the dimension of the required coordinate is 2-dimensional i.e (x,y).
On the Cartesian plane, we have the x axis along the horizontal plane and y axis along the vertical.
Note that positive values lies towards the right of the x-axis and also up the y-axis. The negative values lies towards the left of the x-axis and also down the y-axis.
According to the question, if a point is lying on x axis at a distance of 5 units to the right of x axis, then the value of x will be +5 i.e x = +5
Also, if a point lies on the y axis at a distance of 3 units below the origin, then the value of y will be -3 i.e y = -3.
Hence, the coordinates satisfying this points (x,y) is (5, -3)
A cake mix calls for these ingredients. 2 cups of sugar 7 cups of flour 3 cups of milk 1 cup of oil Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios?
Answer:
Ratio of sugar and flour
2:7
Ratio of milk and oil
3:1
Step-by-step explanation:
Here in this question, we shall be writing ratios based on the given number of cups in the question.
We start with ratio of sugar to flour.
We have;2 cups of sugar and 7 cups of flour. Thus we have the ratio of sugar to flour as 2:7
Also we want the ratio of milk and oil
we have 3 cups of milk and 1 cup of oil
So the ratio of milk and oil is 3:1
Answer: TO be short for it its B! :D
A cake mix calls for these ingredients.
2 cups of sugar
7 cups of flour
3 cups of milk
1 cup of oil
Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios?
3/7 > 2/1
2/7<3/1
7/1<2/3
3/2>1/7
2
SEE ANSWERS
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Answer
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2/7<3/1
with 2 cups of sugar to 7 cups of flour that is a small ratio/ fraction while as
3 cups of milk to 1 cup of oil is a larger ratio/fraction.
douwdek0 and 60 more users found this answer helpful
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Answer
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ColinJacobus
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3.7K answers
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Answer: The correct option is (B).
The ratio of sugar to flour is and the ratio of milk to oil is
Step-by-step explanation: Given that a cake mix calls for the following ingredients:
2 cups of sugar , 7 cups of flour , 3 cups of milk and 1 cup of oil.
We are given to write the ratios of sugar to flour and milk to oil and select the correct comparison of the ratios.
The ratio of sugar to flour is given by
and the ratio of milk to oil is given by
Since
so have
Thus, the ratio of sugar to flour is and the ratio of milk to oil is The correct comparison is
Option (B) is CORRECT.
Step-by-step explanation:
Two tangents. find x. angle measures and segment lengths. Acellus. PLEASE HELP!!!
Answer:
x=60
Step-by-step explanation:
x=1/2(240-120)
x=60
Coffee is sold in two different sized canisters. The smaller canister has a diameter of 9 cm and a height of 12 cm. The larger canister is double the size of the small canister. Calculate the volume and surface area of each canister and compare the results of doubling the dimensions.
Answer:
volume 1 =763 cm3
volume 2 = 6,104 cm3
Second volume is 8 times greater than the first volume.
Surface area 1 = 466 cm2
surface area 2 =1,865 cm2
second surface area is 4 times greater than the first surface area .
Step-by-step explanation:
Volume of a cylinder: π radius^2 x height
Radius = diameter /2 = 9/2 = 4.5
V = 3.14 x 4.5^2 x 12 = 763 cm3
Surface area: (3.14 r^2)2 + 2(π x radius x height)
Sa = (3.14 x 4.5^2 )2 + 2(3.14 x 4.5 x 12 )=466 cm2
Since the second canister is double the size:
Radius = 4.5 x 2 = 9
Height = 12 x 2 =24
V = 3.14 x 9^2 x 24 = 6,104 cm3
Sa = (3.14 x 9^2 )2 + 2(3.14 x 9 x 24 )=1,865 cm2
Dividing the second volume by the first one:
6,104/ 763 = 8
Second volume is 8 times greater than the first volume.
Dividing the second surface area by the first one:
1865/466 = 4
second surface area is 4 times greater than the first surface area .
Please answer the question correct only if you know the answer
Use the law of cosines to solve for side g.
g^2 = e^2 + f^2 - 2*e*f*cos(G)
g^2 = 10^2 + 8^2 - 2*10*8*cos(57)
g^2 = 76.85775 ... make sure your calc is in degree mode
g = sqrt(76.85775)
g = 8.766855
g = 8.8
how would you solve #81?
The base of a regular pyramid is a hexagon.
Answer:
96[tex]\sqrt{3}[/tex] cm²
Step-by-step explanation:
A hexagon can be cut into 6 equilateral triangles.
Using the half shown in the diagram to calculate the apothem a , and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2a = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
a = 4[tex]\sqrt{3}[/tex] cm
The area (A) can be calculated using
A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter of the hexagon )
The sides of the hexagon measure 8 cm ( equilateral Δ has congruent sides )
p = 6 × 8 = 48 cm, so
A = [tex]\frac{1}{2}[/tex] × 48 × 4[tex]\sqrt{3}[/tex] = 96[tex]\sqrt{3}[/tex] cm²
30. A rectangular prism has a volume of
285.6 cubic feet. The prism is
12 feet long and 3.4 feet wide. What is
the height of the prism?
A 7 ft
C 19 ft
B 15 ft
D 22 ft
Answer:
The answer is a
Step-by-step explanation:
my brother is very smart
What is the simplified form of -9x+3x
Answer:
-6x
Step-by-step explanation:
you can combine numbers with the same coefficient like any other number
Answer:
-6x
Step-by-step explanation:
It would be doing the same thing as -9 + 3, but without a variable.
I need someone to answer this immediately please. ... The area of a piece of land is 50cm square. Fi d the value of x, if the length
and breadth are given as (x+2) and (x-3)m respectively
options. A. 3
B. 5
C. 7
D. 8
Answer:
x=8
Step-by-step explanation:
Area is equal to
A = l * w
50 = ( x+2) ( x-3)
FOIL
50 = x^2 -3x+2x -6
Combine like terms
50 = x^2 -x -6
Subtract 50 from each side
0 = x^2 -x -56
Factor
What two numbers multiply to -56 and add to -1
-8*7 = -56
-8+7 = -1
0 = ( x-8) ( x+7)
Using the zero product property
x-8 =0 x+7 =0
x = 8 x=-7
Since the length cannot be negative x cannot be negative
x=8
Answer:
8
Step-by-step explanation:
put the 50 under area and continue with like that
express each of the following decimal number in the p/q form (1)0.5 (2)3.8
Answer:
see explanation
Step-by-step explanation:
(1)
0.5 = [tex]\frac{5}{10}[/tex] = [tex]\frac{1}{2}[/tex]
(2)
3.8 = 3 [tex]\frac{8}{10}[/tex] = [tex]\frac{10(3)+8}{10}[/tex] = [tex]\frac{30+8}{10}[/tex] = [tex]\frac{38}{10}[/tex] = [tex]\frac{19}{5}[/tex]