Answer:
A) 25/28
B) 9/10
C) 3/20
D) 0
E) 12
F) 11 1/12 (also as 133/12)
G) 1 7/60 ( also as 67/60)
H) 11 1/12 It's the exact same question as the other one sooo
I) -3/16
J) -53/80
Step-by-step explanation:
Just find the LCD and combine
Answer:
See below.
Step-by-step explanation:
A) 3/4 + 1/7 = 21/28 + 4/28 = 25/28
B) 2/5 + 3/6 = 12/30 + 15/30 = 27/30 = 9/10
C) 2/5 - 1/4 = 8/20 - 5/20 = 3/20
D) -2/6 - (-1/3) = -1/6 + 1/3 = 0
E) 5 ½ + 6 ½ = 5 + 6 + ½ + ½ = 12
F) 8 ¾ + 4 ½ - 2 ¹/6 = 8 + 4 - 2 + 9/12 + 6/12 - 2/12 = 10 13/12 = 11 1/12
G) 3/4 + 1/5 + 1/6 = 45/60 + 12/60 + 10/60 = 67/60 = 1 7/60
H) 8 ¾ + 4 ½ - 2 ¹/6 = 11 1/12
I) -3/12 - (-1/16) = -1/4 + 1/16 = -4/16 + 1/16 = -3/16
J) -3/48 - (4/5) + 1/5 = -15/240 - 192/240 + 48/240 = -159/240 = -53/80
please help i will give brainliest
Step-by-step explanation:
4(2.8*4.5)=50.4
50.4/12= 4.2
4.2 means 5 tins of paint
£52.5 =price
Step-by-step explanation:
i have explained in the paper.
Goodluck
The volume of a cube is 270cm cubed. Work out the length of its side rounded to 1 DP
Answer:
a ≈ 6.5 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Volume of a Cube Formula: V = a³
a is a side lengthStep-by-step explanation:
Step 1: Define
Identify
V = 270 cm³
Step 2: Solve for a
Substitute in variables [Volume of a Cube Formula]: 270 cm³ = a³[Equality Property] Cube root both sides: 6.4633 cm = aRewrite: a = 6.4633 cmRound: a ≈ 6.5 cmAnswer:
The length of it's side is 6.5 cm.
Step-by-step explanation:
Here's er have given that the Volume of cube is 270 cm³. And we have to find the length of its side rounded to 1DP.
To find the length of its side we apply the formula ; Volume of cube and then simplify .
Volume of cube = ( a )³
Where , a is the length of side and Volume of cube have given in the question which is 270cm³ .plug the values
270 cm ³ = a³
Taking cube root of both side
[tex] \small \sf \sqrt[3]{270 \: cm {}^{3} } = \sqrt[3]{a {}^{3} } [/tex]
6.4633 cm = a
Rewrite
a = 6.4633 cm
Round nearest to 1DP
a ≈ 6.5 cm
Hence , Length of it's side is 6.5 cm.
calculate the perimeter of segment in r= 21cm, a=135
Step-by-step explanation:
r=21cm
a=135
perimeter=2r+ar
=2×21+135×21
=42+2835
=2877cm
Luis camina 2 kilómetros hacia el sur y luego un cierto número de kilómetros hacia el este. Termina a 5 kilómetros de su posición inicial. ¿Cuántos kilómetros caminó Luis hacia el este?
Answer:
camino 5 kilometros
Step-by-step explanation:
2-3+5
Which expression is represented by the model?
Answer:
X+3
Step-by-step explanation:
I did the test
I WILL GIVE BRAINIEST JUST PLEASE ANSWER THIS IM ON A TEST ;-;
Answer:
a)Fourth coordinate (- 4 , 1 )
b)Dimension : 6 unit by 3 unit
c)Area = 18 square units
Step-by-step explanation:
Given coordinates A = ( 2 , 1) , B = ( 2 , 4 ) , C= ( -4 , 4)
Find D.
Let D = (x , y)
For a rectangle, mid point of diagonal are same.
[tex]Mid - point \ of \ AC = ( \frac{2-4}{2}, \frac{4+1}{2}) = (-1, 2.5)\\\\Mid - point \ of \ BD = ( \frac{x+2}{2}, \frac{y+4}{2} )[/tex]
Since mid-points are same. Equate :
[tex]\frac{x+2}{2} = -1\\\\x+2 = -2\\\\x = -4[/tex]
[tex]\frac{y+4}{2} = 2.5\\\\y + 4 = 5\\\\y = 1[/tex]
a)
Therefore, D = ( -4, 1)
Since parallel sides of a rectangle are the same.
We will find the length of the sides using distance formula.
Distance between ( 2, 1 ) and ( 2, 4)
[tex]Distance_{AB} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2-2)^2 + (4-1)^2 } = \sqrt{9} = 3[/tex]
AB = 3
Distance between ( 2 , 4 ) and ( -4 , 4)
[tex]Distance_{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2--4)^2 + (4-4)^2 } = \sqrt{36} = 6[/tex]
BC= 6
CD is parallel to AB , therefore CD = 3
AD is parallel to BC, therefore AD = 6
b) Dimensions : length = 6 , breadth = 3
c) Area = Length x Breadth
= 6 x 3
= 18 square units
PLEAAAAAASEEEE HELPPPP ASAAPPPP 95 POINTS JUST FOR THIS
use the following arithmetic sequence and the formula an=a1+(n-1)d to answer the questions below 123,116,1099,102,95.
part 1. find the value of each of the following
part 2/ find the explicit formula, show work. part 3.
part 3. use the explicit formula you found from part 2 to find the value of the 100th term in the sequence show your work!
Answer:
see below
Step-by-step explanation:
123,116,109,102,95.
First find the common difference
d = 116 - 123 = -7
We are subtracting 7 each time
Using the formula
a1 = 123
d=-7
an = 123+ (n-1)(-7)
We need to find the 100th term
Let n = 100
a100 = 123 +(100-1) (-7)
= 123+(99)(-7)
= 123-693
= -570
The black graph is the graph of y= f(x). Choose the equation for the red graph
which one: a, b, c, d?
Answer:
Option C.
Step-by-step explanation:
First, let's define the transformations used here:
We can see that the red graph is shifted horizontally to the right, and that is reflected across the x-axis:
Horizontal shift:
For a general function f(x) an horizontal shift of N units is written as:
g(x) = f(x + N)
where:
If N > 0, the shift is to the left
if N < 0 , the shift is to the right.
Reflection across the x-axis.
For a function f(x), a reflection across the x-axis is just written as:
g(x) = -f(x)
So, if here we have a reflection across the x-axis and a horizontal shift of one unit to the right, we would write the equation for the red graph as:
g(x) = -f(x) (only for the reflection)
g(x) = -f(x - 1) (for the reflection and the shift)
Then the graph of the red function is:
y = -f(x - 1)
We can rewrite this as:
y = -1*f(x - 1)
dividing both sides by -1 we get:
y/-1 = f(x - 1)
This is what we can see in option C, so the correct option is C.
1. What is the value of the digit 7 in the number 176 354?
Answer:
7 thousand because in word it is 0me hundred and seventy six thousand three hundred and fifty four
Answer:
tens of thousands
Step-by-step explanation:
The solutions of x^2=16x-28 are
Answer:
the solutions of x^2=16x-28 are
2) 2 and 14
need to find volume, step by step explanation pls
Given:
A figure of combination of hemisphere, cylinder and cone.
Radius of hemisphere, cylinder and cone = 6 units.
Height of cylinder = 12 units
Slant height of cone = 10 units.
To find:
The volume of the given figure.
Solution:
Volume of hemisphere is:
[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]
Where, r is the radius of the hemisphere.
[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]
[tex]V_1=\dfrac{6.28}{3}(216)[/tex]
[tex]V_1=452.16[/tex]
Volume of cylinder is:
[tex]V_2=\pi r^2h[/tex]
Where, r is the radius of the cylinder and h is the height of the cylinder.
[tex]V_2=(3.14)(6)^2(12)[/tex]
[tex]V_2=(3.14)(36)(12)[/tex]
[tex]V_2=1356.48[/tex]
We know that,
[tex]l^2=r^2+h^2[/tex] [Pythagoras theorem]
Where, l is length, r is the radius and h is the height of the cone.
[tex](10)^2=(6)^2+h^2[/tex]
[tex]100-36=h^2[/tex]
[tex]\sqrt{64}=h[/tex]
[tex]8=h[/tex]
Volume of cone is:
[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]
Where, r is the radius of the cone and h is the height of the cone.
[tex]V_3=\dfrac{1}{3}(3.14)(6)^2(8)[/tex]
[tex]V_3=\dfrac{25.12}{3}(36)[/tex]
[tex]V_3=301.44[/tex]
Now, the volume of the combined figure is:
[tex]V=V_1+V_2+V_3[/tex]
[tex]V=452.16+1356.48+301.44[/tex]
[tex]V=2110.08[/tex]
Therefore, the volume of the given figure is 2110.08 cubic units.
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a
15% alcohol solution. The equation 0.10x + 0.15(50 -x) = 0.12(50) can be used to find the amount of 10% alcohol
solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
40
mL
How much of the 15% alcohol solution should Bruce use?
mL aASAP
Answer:
x = 30 ml of 10%
50 - x = 20 ml of 15%
Step-by-step explanation:
0.10x + 0.15(50 - x) = 0.12(50)
distribute
0.10x + (7.5 - 0.15x) = 6
Combine like terms
-0.05x = -1.5
Divide both sides by -0.05
x = 30 ml of 10%
50 - x = 20 ml of 15%
Cynthia has $2.15 worth of change in her pocket. She has three more nickels than quarters and twice as many dimes as quarters. How many of each type coin has she?
Answer:
7 nickles
8 dimes
4 quarters
Step-by-step explanation:
q
d = 2q
n = q+3
25q + 10d + 5n = 215
25q + 10(2q) + 5(q + 3) = 215
25q + 20q + 5q - 15 = 215
50q = 200
q = 4
d = 2q = 8
n = q + 3 = 7
in the figure below, mMNO=83*. Find mMLO
Answer:
166degrees
Step-by-step explanation:
Using the theorem which states that the angle at the vertex is twice the angle at the intercepted arc
Angle at the vertex <MNO = 83degrees
Angle at the arc = m<MLO
According to the theorem
83 = 1/2(m<MLO)
m<MLO = 83 * 2
m<MLO = 166degrees
Hence the measure of angle MLO is 166degrees
Can someone help me with this question? Workings would be appreciated :] Adrian, Ben and Charlie share some sweets in the ratio 8:5:10 Charlie got 20 more sweets than Adrian. Work out the total amount of sweets.
Answer: 230 - the total amount of sweets.
Step-by-step explanation:
Adrian received 8 pieces of sweets;
Ben got 5 pieces of sweets;
Charlie received 10 pieces of sweets.
The sum of all parts:
8 + 5 + 10 = 23
Let's calculate how many parts Charlie got more than Adrian:
10 - 8 = 2
It is also known that Charlie received 20 more sweets than Adrian. This means that you can calculate how many sweets are in one part.
20 : 2 = 10
Now we can calculate the total amount of sweets:
10 × 23 = 230
determine the equation of the circle graphed below.
( help me please )
Answer:
(x+5)²+(y-4)²=17
Step-by-step explanation:
I think it's safe to assume that the (-5,4) coordinate is in the center
To find the x and y coordinate just flip the signs
which means it would look like
(x+5)²+(y-4)²=?
the question mark is equal to the raidus squared
to find the radius use the distance formula
√((-4+5)²+(8-4)²)= 4.123106
square this to get 17
the final answer is then
(x+5)²+(y-4)²=17
in a sale, normal prices are reduced by 10%
nathalie bought a pair of shoes in the sale for £54
what was the original price of the shoes
in a sale, normal prices are reduced by 10%
nathalie bought a pair of shoes in the sale for £54
what was the original price of the shoes
Answer[tex]x = 60[/tex]
Explanation
[tex] \sf based \: on \: the \: given \: conditions \: write : x = \frac{54}{ 1 - 01} [/tex]
[tex] \sf calculate \: the \: sum \: difference: x = \frac{54}{0.9} [/tex]
convert decimal to fraction: x= 54 / 9 / 10
[tex] \sf \: divide \: a \: fraction \: by \: multiplying \: its \: reciprosal : x = 54 \times \frac{10}{9} [/tex]
[tex] \sf \: write \: as \: a \: single \: fraction : x = \frac{54 \times 10}{9} [/tex]
[tex] \sf \: reduce \: fraction \: to \: the \: lowest \: term \: by \: cancelling \: the \: greatest \: [/tex]
[tex] \sf \: common \: factor : x = 6 \times 10[/tex]
[tex] \sf \: calculate \: the \: product \: or \: quotient : x = 60 [/tex]
[tex] \sf{ \boxed{answer : x = 60}}[/tex]
what is 8 to the power of ten?
Answer:
80
Step-by-step explanation:
......................................
lines a and b are parallel m<2 = ?°
Answer:
50 degrees
Step-by-step explanation:
50 degrees because angle 2 is its vertical angle
Please help me-
f(x) = x2. What is g(x)?
Answer:
D. g(x) = 3·x²
Step-by-step explanation:
The given parent function, f(x) = x²
The graph of the function, g(x) is narrower than the graph of the function f(x)
Therefore, the coefficient of the quadratic function is larger than 1
The given point on the parabola, g(x) = (1, 3)
Therefore. when x = 1, g(x) = 3
However, when x = 1, f(x) = 1
Therefore, given that g(x) = a·f(x), we get;
a = g(x)/(f(x)) = 3/1 = 3
g(x) = 3·x²
3 L of water of density 1 gram per centimetre cubed is added to 12litres of alcohol of density of 0.8 gram per centimetre cubed,find the density of the mixture.
Answer:
84%
Step-by-step explanation:
each liter is 1000 cubic centimetre, so you have a total density of 3000, but instead think of 3 liters being 100% density and think of alcohol as 80% density, there are 4 times at much 80% than 100% liquid.
with 3 liters of alcohol, 3 liters of water is now 90% density or 0.9 gram per centimetre. add another 3 liters and it is 2/3, so the grams per centimetre would be 8.66667 or 8 2/3's
if you add another 3 liters, THEN it is 85%
add 12 liters in total and the final answer 84%
Can someone plz help me plz and thank u
Anyone know this ? Math
Answer:
line r or MB
Step-by-step explanation:
Answer:
only line r
Step-by-step explanation:
the question is what is perpendicular to (has an angle of 90 degrees with) AM.
line r is.
line s has no right angle with AM (even the extended line beyond these points).
MB is parallel to AM. in fact it is on the same line. so, they have 0 degrees and not 90.
JK is just a part of line s, and the same as for line s applies.
Match each system to the number the first equation can be multiplied by to eliminate the
x-terms when adding to the second equation.
10x - 4y = -8
2
-5x + 6y = 10
역
-2x + 6y = 3
4x + 3y = 9
1/2
3x - By = 1
6x + 5y = 12
-1/2
- 8x + 10y = 16
- 4x - 5y = 13
-2
Answer/Step-by-step explanation:
✔️10x - 4y = -8
-5x + 6y = 10
Multiply the first equation by ½ to eliminate the x-term
Thus:
½ × 10x - 4y = -8 (eqn 1)
5x - 2y = -4
✔️-2x + 6y = 3 (eqn 1)
4x + 3y = 9
To eliminate the x-terms when adding to the second equation, multiply the first equation by 2
Thus:
2 × -2x + 6y = 3
-4x + 12y = 6
✔️3x - 8y = 1 (eqn 1)
6x + 5y = 12
To eliminate the x-terms when adding to the second equation, multiply the first equation by -2
Thus:
-2 × 3x - 8y = 1 (eqn 1)
-6x + 16y = -2
✔️-8x + 10y = 16 (eqn 1)
-4x - 5y = 13
To eliminate the x-terms when adding to the second equation, multiply the first equation by -½
Thus:
-½ × -8x + 10y = 16 (eqn 1)
4x - 5y = -8
Answer:
Match each system to the number the first equation can be multiplied by to eliminate the x-terms when adding to the second equation.
8x + 10y = 16
-2
4x-5y = 13
2× + бу = 3
4x + 3у = 9
3x - 8y = 1
6x + 5y = 12
10x - 4y =-8
-5x + бу = 10
1/2
2
-1/2Step-by-step explanation:
What's the perimeter of this shape?
Answer:
32m
Step-by-step explanation:
7+5+5+4+4+1+3+3=32
15. In the diagram AB is parallel to CD.
Calculate the value of a.
NOT TO
SCALE
Step-by-step explanation:
sorry can't help u because I can't see any picture
Find the distance between the points (5, - 4) and (5, 7)
simplify 5x-26y+7x+32y
mmmmm hey can you explain my math?
Answer:On June 17
the explanation is in the picture
Geometry math help show work pelase help Jim thanks
Answer:
p = 1.4
Step-by-step explanation:
The ratio of sides is the same
p/4.2 = 1.7/5.1
multiply both sides by 4.2
p = 1.7/5.1 * 4.2
p = 1.4
===========================================================
Explanation:
JK = LM because opposite sides of a parallelogram are the same length.
Side LM is p units long, where p is a placeholder for a number.
To determine what number replaces p, we can form the proportion shown below
BC/KL = CD/LM
Refer to the drawing below. I've circled the corresponding pieces. Note the color coding. Other equations are possible.
-----------
So,
BC/KL = CD/LM
(5.1)/(1.7) = (4.2)/p
5.1p = 1.7*4.2 ....................... cross multiply
5.1p = 7.14
p = (7.14)/(5.1)
p = 1.4
