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.
The length of a room is 7.25 feet longer than the width, x, of the room. Which expression represents the perimeter of the room?
Answer:
P = 14.5+4x
Step-by-step explanation:
Let the width of the room is x.
Length = 7.25 feet longer than the width = 7.25 +x
We need to find an expression the represents the perimeter of the room.
Perimeter = sum of all sides
P = 2(l+b)
l is length and b is width
P = 2(7.25 +x+x)
=2(7.25 +2x)
=14.5+4x
Hence, the required expression for the perimeter is 14.5+4x.
Round 4.24 to the nearest tenth.
4
4.3
4.2
5
Answer:
4.2
Step-by-step explanation:
Answer:
4.2
Step-by-step explanation:
........................
Have no idea how to answer this, please help :(
Answer:
Step-by-step explanation:
a) perimeter = 8x + 3 + 5 + 7x + 4
b) perimeter = 15x + 12
Pls help I’ll brainlest
Answer:
-2.1y + 12.9
Step-by-step explanation:
Answer:
12.9-2.1y
Step-by-step explanation:
Use the distributive property to multiply −0.5 by 12y−9.
8.4+3.9y−6y+4.5
Combine 3.9y and −6y to get −2.1y.
8.4−2.1y+4.5
Add 8.4 and 4.5 to get 12.9.
12.9−2.1y
- 5/6e (the fraction) - 2/3e (the fraction)=-24
Answer:
I believe this is the correct answer. e = 16
What is the slope of the line that contains these points? x -4 -3 -2 -1 y 2 5 8 11
Answer:
21 because I serch it up I believe
Question 1 (3 points)
(6.03)
Which expression shows a sum of three terms? (3 points)
O a
x3
3 + x + 3
Ob
ос
3x
Od
3(x + 3)
Answer:
more context please:)
Step-by-step explanation:
Answer:
3 + x + 3
Step-by-step explanation:
Hope it helps!
What is the rate of change And initial value for the linear relationship that includes the points shown in the table
Answer:
Multiply them and then add them altogether
so
Step-by-step explanation:
2x3=6
4x5=20
6x7=42
8x9=72
6+20+42+72= 140
6+20=26
26+42=68
68+72= 140
For questions 1 – 6, find the area of the circle to the nearest hundredth.
Any help appriciated!
Step-by-step explanation:
The area of a circle is given by :
A = πr²
r is the radius of the circle
(4) Diameter = 22 cm
Since, radius = diameter/2
r = 11 cm
Now, area of the circle,
[tex]A=\pi \times (11)^2\\\\A=380.13\ cm^2[/tex]
(5) Diameter = 30 cm
Since, radius = diameter/2
r = 15 cm
Now, area of the circle,
[tex]A=\pi \times (15)^2\\\\A=706.85\ cm^2[/tex]
(6) Diameter = 4cm
Since, radius = diameter/2
r = 2 cm
Now, area of the circle,
[tex]A=\pi \times (2)^2\\\\A=12.56\ cm^2[/tex]
So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.
The pizza shop down the street offers a special of a large pizza with 3 toppings. The choices of toppings
are pepperoni, sausage, ham, pineapple, cheese, onions, green peppers, hot peppers, mushrooms, and
anchovies.
How many ways can you arrange 3 toppings out of 10 toppings on a pizza?
Answer:
120 ways
Step-by-step explanation:
To solve this question, we would be using the law of combination.
In combination, we say that
nCr = n! / (n - r)! r!, where both r and n are integers.
Now, referring to question, we are asked how many ways we can arrange 3 toppings out of 10. This means we're looking for 10C3. Applying the earlier laid out formula, we have
10C3 = 10! / (10 - 3)! 3!
10C3 = 10! / 7! 3!
10C3 = 3628800 / 5040 * 6
10C3 = 3628800 / 30240
10C3 = 120
Therefore, the toppings can be arranged in 120 ways.
Leave a like if it helped you, please
Solve 3x − 5y = 17
9x − 15y = −4
Answer:
3x - 5y = 17
3(9) - 5(2) = 17
27 - 10 = 17
x = 9
y = 2
---------------------
9x - 15y = -4
I believe this equation has no proper solution. Every "solution" I have found ends with repeating decimals & fractions.
Joshua finished the mile race in 22.7 minutes. Blake finished the race 8 3/10 minutes sooner than Joshua finished it. How many minutes did it take Blake to finish the race?
Answer:
31 mins
Step-by-step explanation:
22.7+8 3/10=31 mins
A park is rectangular with a length of 2/3 miles. If the area of the park is 3/9 square miles, what is its width? Input your answer as a fraction.
Answer:
6/9 miles
Step-by-step explanation:
I need number 7 and 8 answered
BRAINLIST TO WHOEVER CAN HELP ME
Demonstrate that the commutative property of addition is valid by solving for the sum of 5/6 and 8/9.
Select the correct answer.
What are the slope and the y-intercept of the line of best fit on this scatter plot?
Answer:
A
Step-by-step explanation:
slope is change in y over change in x, line goes down 4, right three whole units, making the slope -4/3
y-intercept is where the line hits the y-axis
the line hits the y-axis at (0,8)
this makes the y-intercept 8
Answer:
The y-intercept is 8 , and the slope is -4/3.
Step-by-step explanation:
Evaluate x - 20 when x=3
Answer:
-17
Step-by-step explanation:
Plug in 3:
3 - 20 =
Solve:
3-20 = -17
Answer:
-17
Step-by-step explanation:
I replaced 3 for x, I solved the equation 3-20, which is equal to -17
The sum of the interior of the triangle equal 180
Answer:
Angle5=angle1Angle6=angle3angle1+angle2+angle3 = 180° (Angle on a. straight line)angle2+angle5+angle6 = 180° (ASP)The length of a rectangle is 5 inches more than three times the width.The perimeter is 64 inches. Find the length and width.
Answer:
L=25.25 in
W= 6.75in
Step-by-step explanation:
Step one
Given data
Let the width be x
W= x
and length
L= 3x+5
Perimeter= 64 in
Step two:
we want to find the dimension of the rectangle
We know that perimeter is
P= 2W+2L
64= 2*x+2*(3x+5)
64= 2x+6x+10
collect like terms
64-10=8x
54= 8x
divide both sides by 8
x= 54/8
x= 6.75in
We know that the length is
L= 3x+5
L= 3*6.75+5
L= 20.25+5
L=25.25 in
Place parentheses in the expression so that it equals the given value.
20 + 2 x 5 + 4^1
Value: 38
Can Someone help with this
Answer:
x y
-2 5
-1 . 1
3 . 1
-1 -2
Step-by-step explanation:
in 1 just put in
x y
-2 5
-1 . 1
3 . 1
-1 -2
A line passes through the point (-8,-5) and has a slope of 3/4. Write an equation in slope intercept form for this line.
Answer:
y = ¾x + 1
Step-by-step explanation:
Point-slope equation for line of slope ¾ that passes through (-8,-5):
y+5 = ¾(x+8)
Put into slope-intercept form:
y = ¾(x+8) - 5 = ¾x + 6 - 5 = ¾x + 1
The lgrsedfaffedadwaawdwaffweaf
What does that even say
Which expression is equivalent to 3sqrt 2y^3 x 7sqrt 18y , if y > 0
Answer:
126y^2
Step-by-step explanation:
I am super confused
.....................
Answer:
B is the answer
Step-by-step explanation:
Please answer will give brainliest to the best answer please make sure to explain!
how many 1/3's are in 3
Answer:
9
Step-by-step explanation:
1/3 times9=3
Maria is making cookies that require 4/3 cups of flour. She has 1 2/3 cups of flour. How much sugar will she have left after making the cookies?
Answer:
1/3
Step-by-step explanation:
4/3=1 1/3
1 2/3 - 1 1/3= 1/3
Hope this helps!
what is one-fourth of 24
Answer:
6
Step-by-step explanation:
One fourth is ÷4
24÷4=6
Answer:
6...? I don't know why you are doing first grade math again...
Step-by-step explanation:
HELP ILL MARK U AS BRaiNLIEST
Answer:
2
Step-by-step explanation: