Answer:
The GCF=8 The Sum=88
1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of varnish what quantity of mineral spirits will i need in ml ? 3-Robison's tapestries all measure 1.5m x 1m wide. Express the proportion of the tapestries' heights to width using whole numbers. Give the answer in ration.
Answer:
(1) The required ratio of spirit to varnish is 1:3.
(2) You need 80 ml of mineral spirit.
(3) The ratio of tapestries' heights to width is 3:2.
Step-by-step explanation:
(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.
So, [tex]\frac{spirit}{varnish}=\frac{25}{75}[/tex]
[tex]=\frac{1}{3}[/tex]
Thus, The required ratio of spirit to varnish is 1:3.
(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.
Let [tex]x[/tex] be the quantity of total solution.
Then, [tex]240:x=3:4[/tex].
⇒[tex]\frac{240}{x}=\frac{3}{4}[/tex]
⇒[tex]3x=240*4[/tex]
⇒[tex]x=\frac{240*4}{3}[/tex]
⇒[tex]x=320[/tex]
That is, total solution is 320 ml.
Now, Spirit = Total solution - Varnish
⇒Spirit = 320ml-240ml
⇒Spirit = 80ml
Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.
(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.
Then, dimensions are 15m long and 10m wide.
Now, Height : Width = 15:10
⇒[tex]\frac{Height}{Width} =\frac{15}{10}[/tex]
⇒[tex]\frac{Height}{Width} =\frac{3}{2}[/tex]
Hence, the ratio of tapestries' heights to width is 3:2.
17 Number of CD. Produced 100 3000 Number of CDs EXO HORO 1 M Nonth November Sentember July h The scatter plot shows the number of CDs that Disc-O CD factory produced in different months. What is the best prediction for the month in which they will produce 5,500 CDs? (1 Point) November September
Answer:
july
Step-by-step explanation:
id say its july but i cant see all the options so im not sure thats one of them!
Can you simplify this?
Answer:yes
Step-by-step explanation:
I have 3 green cubes, 4 red cubes, 2 black cubes, and 6 yellow cubes. What is the probability that I will randomly choose a black cube, put it back then randomly choose a yellow cube
Answer:
4/75 or 0.05333
Step-by-step explanation:
3+4+2+6=15 elements
2/15= probability to choose a black
6/15 = probability to choose a yellow cube
Probability to choose a black AND (*) a yellow = 2/15*6/15=12/225=4/75 or 0.05333
7. At an online retailer, the price of the camera is discounted 15% to $212.50. What was the
price of the camera before the discount?
Answer:
$250
Step-by-step explanation:
discounting 15 percent is the same as marking something for 85 percent. This is the same as multiplying by .85
set up equation and solve
.85x=212.50
x=250
Which equation represents a line which is parallel to the line y = -3x – 1 ?
Answer:3x+y=-8
Step-by-step explanation: If you were to solve each equation by graph the slope would be negative 3
If the area of a rectangular park is 350sq. m and its length is 70m, form the algebraic expression to find its breadth
With full solution
Answer:
350 m² = 70 m × breadth
Step-by-step explanation:
This will be 5m = breadth
Question 6 (1 point) Express the complex number in trigonometric form. Question 6 options: 7(sin 60° + i cos 60°) 7(cos 60° + i sin 60°) 7(cos 30° + i sin 30°) 7(cos 60° + sin 60°)
X=1.56 cm
X=1.44cm
X=2.25cm
X=0.64
Answer:
x= 1.44
Step-by-step explanation:
I divided 1.2 cm by 0.96 to find the factor, which give me 1.25.
So I did 1.8 cm divided by 1.25 which give me the answer above.
Hope that helps.
A set of data is summarized by the stem and leaf plot below.
Stem Leaf
1 0 0 2 2 4 5 5 5 6 7 8 8 9 9 9 9
2 0 0 0 3 3 4 5 8 8
3 0 0 1 1 3 4 5 5 5 6 6 6 6 7 7 8 8 8 9 9
4 1 2 2 3 3 3 5 5 6 6 7 8 8 9 9
The value 52 appears _________time(s) in the data set. The value 47 _________appears time(s) in the data set.
Answer:
0 ; 1
Step-by-step explanation:
Given the dataset :
Stem _____ Leaf
1 _______ 0 0 2 2 4 5 5 5 6 7 8 8 9 9 9 9
2 _______0 0 0 3 3 4 5 8 8
3 _______0 0 1 1 3 4 5 5 5 6 6 6 6 7 7 8 8 8 9 9
4 _______ 1 2 2 3 3 3 5 5 6 6 7 8 8 9 9
The value 52 appears 0 times in the dataset
This is because the stem does not contain the digit 5.
The value 47 appears 1 time(s) in the data set ; stem of 4, leaf 7
Write the point-slope form of the equation of the line through the given point with the given
slope.
through: (4.-3), slope = -2
Answer:
y+3 = -2(x-4)
Step-by-step explanation:
The point slope form of a line is
(y-y1) = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y- -3 = -2 (x-4)
y+3 = -2(x-4)
A garden table and a bench cost 821 combined.The garden table costs 79 less than the bench. What is the cost of the bench?
Select the correct answer from each drop-down menu.
The sides of ABC are 30 units, 40 units, and 60 units long. The corresponding sides of AXYZ are r times as long
as the sides of AABC.
2. If the area of AABC is n square units, the
The expression that gives the perimeter of AXYZ is
area of AXYZ is
square units.
Answer:
Area of ΔXYZ = n(r * r) square units
Step-by-step explanation:
Sides of ΔABC are 30 units, 40 units and 60 units.
Corresponding sides of another triangle XYZ are r times as long as the sides of ΔABC.
Therefore, sides of ΔXYZ will be, 30r units, 40r units and 60r units.
Perimeter of the triangle XYZ = 30r + 40r + 60r
= 130r units
If the area of ΔABC = n square units
Then the ratio of the area of ΔXYZ and ΔABC = (Ratio of the sides of ΔXYZ and ΔABC)²
[tex]\frac{\text{Area of triangle XYZ}}{\text{Area of triangle ABC}}=(\frac{\text{Side length of XYZ}}{\text{Side length of triangle ABC}})^2[/tex]
[tex]\frac{\text{Area of triangle XYZ}}{n}=(r)^2[/tex]
Area of ΔXYZ = nr² ≈ n(r * r)
Therefore, Option (3) will be the answer.
The expression that gives the perimeter of ΔXYZ is: 130r
The area of ΔXYZ = nr²
Similar FiguresIf A and B, with sides a and b respectively, are similar figures, therefore: area of A/area of B = a²/b².
Thus;
Given that the sides of ΔABC, which are 30, 40 and 60, are r times the corresponding sides of ΔXYZ, the sides of XYZ would be:
30r, 40r, 60r.
Perimeter of ΔXYZ = 30r + 40r + 60r = 130r
Given that the area of ΔABC is n units², therefore:
(area of ΔABC)/(area of ΔXYZ) = (side of ΔABC)²/(side of ΔXYZ)²
Substitute(n)/(area of ΔXYZ) = (30)²/(30r)²
n/area of ΔXYZ = 1/r²
Cross multiplynr² = area of ΔXYZ
area of ΔXYZ = nr²
Therefore, the expression that gives the perimeter of ΔXYZ is: 130r
The area of ΔXYZ = nr²
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-8 - 1 = ?
Please show work for credit/ brainliest
Answer: The answer is -9
Step-by-step explanation:-8 - 1 = -9
Given that f(x) = x²-1,
a) Find f(5)
b) Find f-'(x)
c) Find f-'(8)
Answer:
step by step as shown
Step-by-step explanation:
f(x) = x²-1
f(5) = 5² - 1 = 24
f⁻¹(x)
y = x²-1
x = y² - 1 swap x and y
y² = x+1 ... x+1 ≥ 0 x≥-1
y = √x+1
f⁻¹(x) = √x+1
f⁻¹(8) =√8+1 = √9 = 3
Please help me answer this :)
Explain your answer
Will give brainiest
Answer:
A AAAAAAA
Step-by-step explanation:
4 x 6 + 29 divided by 5 - 4
Answer:
25.8
Step-by-step explanation:
pls mark this as brainliest! thx hope this helped. :)
Answer:
The answer would be 25.8 or you can do 258
Step-by-step explanation:
The price of a telephone is 200$ in shop A and 240$ in shop B. If you get 15% discount
shop B, where would you buy the telephone (both shops are next to each other
Answer: Shop A
15% of 240 is 36 and 240-36 is 204 so shop B is more expensive.
The price of a telephone at shop A is less than the price of a telephone at shop B. Then the telephone is bought from shop A.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The price of a telephone is $200 in shop A and $240 in shop B. If you get a 15% discount shop B.
The price of the telephone after the discount at shop B will be given as,
⇒ (1 - 0.15) x $240
⇒ 0.85 x $240
⇒ $204
The price of a telephone at shop A is less than the price of a telephone at shop B. Then the telephone is bought from shop A.
More about the percentage link is given below.
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Which polynomial function could be represented by the graph below? Help please
Answer:
[tex]f(x)=2x^2+2x-4[/tex]
Step-by-step explanation:
pls pls help !!!!! quick! pls!
Answer:
25.2
Step-by-step explanation:
Answer:
25.2
Step-by-step explanation:
4.8 x 6.3 is the smaller one and you want 4x the size of the same rectangle
so you are just multiplying each number by 4
4.8 x 4 = 19.2
6.3 x 4 = 25.2
Can I have help please I don’t know how to do this
Answer: i think it may be a
Step-by-step explanation:
W + 7 < 4 you don’t have to show work
please help me
thank
Answer:
D will round to 18.96
Step-by-step explanation:
18.958, 5+ will get rounded higher so it turns to 18.96, hope this helps you!
Jared is rounding some numbers to the nearest tenth. Select the number that will have a 3 in the tenths place after rounding. (2 points)
3.03
4.28
5.39
6.43
Answer: B) 4.28
The 2 is in the tenths place, and 8 is to the right of it. The 8 is five or larger, so that means we bump the 2 up to 3. We erase the 8. So we go from 4.28 to 4.3; we have a 3 in the tenths place as instructed.
We can think of 4.3 as 4.30
Note how 4.28 is closer to 4.30, than it is to 4.20
Side notes:
Choice A rounds to 3.0 or just 3Choice C rounds to 5.4Choice D rounds to 6.4One Solution, Infinite Solutions, No Solution are the three options for both graphs
Answer:
The first one is infinite and the second one is one solution
FREE BRAINLIEST
Write an equation of the line with the given conditions.
(-1,6),(2,4)
Answer:
y = -2x/3 + 16/3
Step-by-step explanation:
During one year, a family made 3 trips to the museum. The distance from their house to the museum is 47 miles. How many miles did the family drive in 3
Answer:
282 miles
Step-by-step explanation:
47 x 6 = 282
Answer:
282 miles
Step-by-step explanation:
When the family goes to the museum, its 47 miles. When they come back, its another 47 miles. They did that three times, so multiply by 6.
46 x 6 = 282 miles.
Divide by two if you need just the one-way trip.
PLEASE HELP ASAP!! WILL GIVE BRAINLEIST!!
Jayden wants to buy cookies for his friends. The radius of a cookie is 5 inches. What is the cookie's circumference?
Answers:
A: 10 in
B: 15.7 in
C: 2.5 in
D: 31.4 in
Answer:
The answer is B lol
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
radius is half the diameter
to find out the circumference, you do diameter times pi.
if radius is 5, the diameter is 10.
10 inches is the answer.
A
plz help me i beg of you?
Answer:
it will take her 6/8 days
Step-by-step explanation:
just subtract 1/8 from 7/8
Answer:
6/8 (3/4 in simplest form)
Step-by-step explanation:
have a good day :)
Write the equation of a line that has a slope that is greater than 1 but
less than 2
Answer:
y=3/2x
Step-by-step explanation:
Just find a fraction that is greater than one, but less than two and plug it in right next to x. I chose 3/2, but you can choose anything else if you like.
The equation of a line that has a slope that is greater than 1
but less than 2 in slope-intercept form is y = (3/2)x + b.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.∴
Given a line has a slope of greater than 1 and less than two,
∴ We can take any value from 1.01 to 1.99, for our convenience let us take 1.5which is 3/2.
So, the equation of the line will be y = (3/2)x + b.
learn more about lines here :
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