Answer:
[tex]\frac{50}{5} - \frac{10}{1/2}[/tex]
Step-by-step explanation:
Given
a: Divide 10 in halfb: 50 divided into fifths.Required
An expression for [tex]b - a[/tex]
a: Divide 10 in half
This implies that:
[tex]a = \frac{10}{1/2}[/tex]
b: 50 divided into fifths
This implies that
[tex]b = \frac{50}{5}[/tex]
So, we have:
[tex]b - a =[/tex]
[tex]\frac{50}{5} - \frac{10}{1/2}[/tex]
Rationalize the denominator of the expression 2 - √ 3 / √ 6
Step-by-step explanation:
[tex] \to \dfrac{2 - \sqrt{3} }{ \sqrt{6} } [/tex]
Conjugate of √a is √a. So, conjugate of √6 is √6. Multiplying √6 with both numerator and denominator.[tex] \to \dfrac{2 - \sqrt{3} }{ \sqrt{6} } \times \dfrac{ \sqrt{6} }{ \sqrt{6} } [/tex]
[tex] \to \dfrac{ \sqrt{6}( 2 - \sqrt{3} )}{ {(\sqrt{6})}^{2} } [/tex]
[tex] \to \dfrac{ 2 \sqrt{6} - \sqrt{18} }{ 6 } [/tex]
[tex] \to \dfrac{ 2 \sqrt{6} - 3 \sqrt{2} }{ 6 } [/tex]
[tex] \to \dfrac{ \sqrt{6}}{3} - \dfrac{ \sqrt{2} }{ 2 } [/tex]
Hence, rationalised!Choose a method you prefer to solve for a system of linear equations.
2x + 4y = -4
2x-y=6
Answer:
Elimination
x = 2
y = -2
Step-by-step explanation:
Elimination
2x + 4y = -4
2x - y = 6
Subtract the second equation from the first
5y = -10
Divide both sides by 5
y = -2
---------------------
Substitute for y = -2 in the second equation
2x - -2 = 6
2x + 2 = 6
subtract 2 from both sides
2x = 4
Divide both sides by 2
x = 2
in a class of 24 students, how many different 3 person teams for a group project can the teacher make?
Answer:
The teacher can make 8 different 3 person teams
Step-by-step explanation:
Since there is a total of 24 students and the teacher wants to make as many 3 person groups as he/she can you would just do 24 divided by 3 which would equal 8 different teams of 3 people. So the teacher can make 8 different groups of 3 people
How many square feet of outdoor carpet will we need for this hole
Please help!!!!!!!!!!!!
Answer: 990 ways
Step-by-step explanation:
For the first chicken, there are 11 slots it could be, or 11. For the next chicken, there are 10 available, or 10. Same thing for the third chicken, with 9. Thus, simply do 11*10*9 to get 990.
Draw a right triangle that has an 18-cm hypotenuse and a 70-degree angle. To within 0.1 cm, measure the leg adjacent to the 70-degree angle, and express your answer as a percentage of the hypotenuse. Compare your answer with the value obtained from your calculator when you enter COS 70 in degree mode. This is an example of the
Answer:
[tex]\frac{6.3cm}{18cm}=0.35[/tex]
or 35%
cos(70°)=0.34
The difference in the result is because of the precision of the measurements.
Step-by-step explanation:
First, we can start by drawing a horizontal line in our sheet of paper and pick one point on the line. (Picture 1)
Next we take our protractor and measure 70°. (Picture 2)
Then we draw a line that measures 18cm with our ruler from the point we selected on the horizontal line to the point we measured with the protractor. (Picture 3)
Next we take our square and measure a 90° angle from the end of the line we drew on the previous step to the horizontal line and connect the horizontal line to the ending point of the hypotenuse. (Picture 4)
And that will be our triangle. Next we can measure the adjascent side to the 70° angle (Picture 6) which turned out to be 6.3cm which can now be used to calculate the ratio as a percentage. (Picture 5)
[tex]ratio=\frac{adjascent}{hypotenuse}=\frac{6.3cm}{18cm}=0.35[/tex]
which is the same as a 35%.
If we calculated the cos(70°) with our calculator we would get:
cos(70°)=0.34
As you may see our measurements were pretty precise, the difference in answers will depend on the precision of our measurements.
Please help me and show work please
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
Since the scale is in equilibrium, both sides must be equal. Therefore, we have the following equation:
[tex][\text{Left Side} ]3x+3=[\text{Right Side}]9[/tex]
Solving for [tex]x[/tex]:
[tex]3x+3=9,\\3x=6,\\x=\boxed{2}[/tex]
Answer:x=2
Step-by-step explanation: try to first set up an equation. First we can see the scale is balanced so we know each side is equal to each other. You have 3 x boxes and 3 circles so our first side will be 3x+3. Now let’s move onto the second side. It has 9 circles so 3x+3=9. Now let’s solve!
Subtract 3
3x=6
Now divide by 3
X=2
Hope this helps
Red Blue Yellow Green What is the probability of a player spinning the color blue and then rolling a 4?
A: 1/4
B: 1/24
C: 1/6
D: 1/16
Answer:
(1/4)×4=1/16
Step-by-step explanation:
Blue is 1 out of the 4 colours, it rolls for 4 times
Clark has two 16-ounce cans of corn. He uses 18 ounces of it to
make a corn soup and the rest to make a casserole.
a. How many ounces of corn did he use to make the casserole?
Answer:
14
Step-by-step explanation:
Answer:
14 Ounces
Step-by-step explanation:
16 x 2 = 32 Ounces of corn
32 - 18 = 14 Ounces
If 2x + 5 = 82, then 12x = ?
A 5
B
10
C 15
D 20
Answer:
2x= 38.5
Step-by-step explanation:
I'm not sure where u got 12x but 2 x = 38.5:
2x + 5 =82
subtract 5 for 82
2x = 77
77 divided by 2 is 38.5
x = 38.5
hope this helps :)
give the formula in finding the surface area of the cube
Answer:
A=6a²
Step-by-step explanation:
Lowercase a is the length of one side.
Matthew has 5 1/4 bags of fertilizer to spread around his yard. Each bag of fertilizer will cover 115.4 ft 2. How many square feet will Matthew be able to cover if he uses all of the fertilizer?
Answer:
605.85 (ft 2)
Step-by-step explanation:
5 1/4 * 115.4 = 605.85 (ft 2)
It Takes Mike 18 minutes to finish reading 4 pages of a book. How long does it take him to finisn reading 30 pages?
Answer:
135
Step-by-step explanation:
First, divide.
18 ÷ 4 = 4.5
Then, multiply.
4.5 × 30 = 135
Have a great day!
A rectangular room is 11 feet by 14 feet. The ceilings are 9 feet high. If a gallon of paint covers 250 square feet. How many gallons of paint are needed to paint the room?
Answer:
3 gallons or 3.032
Step-by-step explanation:
find the total surface area (758)
divide by 250 or subtract 250 till it is under that number
A dilation has center at the origin. Which of the following is the image of the point P(1.- for a scale
factor of
A
D: (P) = P(x3)
B
D}(P) = P',
C
D:(P) = P1C-
D
D}(P) = PG-)
Answer:
C. [tex]D_\frac{1}{7} (P)=P'(\frac{1}{4},-\frac{5}{14} )[/tex]
Step-by-step explanation:
[tex]\frac{7}{4}*\frac{1}{7}=\frac{7}{28} =\frac{1}{4}[/tex]
[tex]-\frac{5}{2} *\frac{1}{7} =-\frac{5}{14}[/tex]
can someone please help I will do anything
Answer:
678.24 cubic centimeters
Step-by-step explanation:
What is the arc measure of major arc ABC in degrees?
9514 1404 393
Answer:
249°
Step-by-step explanation:
Arc ABC = Arc AB + Arc BC
= 180° +69°
Arc ABC = 249°
The area of the kite is 30 m2. What is the value of x? Explain
Answer:
The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.
Step-by-step explanation:
Translate the phrase into a variable expression. Use the letter p to name the
variable. If necessary, use the asterisk (*) for multiplication and the slash
(1) for division
... the total number of plates minus the 4 saved for dessert...
p - 4 is the answer. No multiplication or division involved
Log(10) u = 3/2 log(10) 4
u = 8
Step-by-step explanation:
log(10) u = log(10) 4^(3/2)
or
u = 4^(3/2)
= [sqrt(4)]^3
= (2)^3
= 8
Select the graph of y = tan x
Answer:
Graph B
Step-by-step explanation:
Answer:
B) is correct
Step-by-step explanation:
Please Help with explanation asap! Branliest to correct
Answer:
Solution given:
12 Ouches =$7200
per Ouches =$7200/6=$600
So
the required equation for the cost of any weight of gold is:
C.
600W=C is a required equation.
A car cost $19,956 How much will it cost a company to buy nine cars for its salespeople?
Answer:
179,604
Step-by-step explanation:
MARK ME BRAINLIST
Answer:
It will cost the company $179,604.
Step-by-step explanation:
Multiply the cost of 1 car by the number of cars needed:
19,956 × 9
179,604
Please help! With math problem:))
Answer:
B - -1
Step-by-step explanation:
x+y=1
x-y=3
x-y +y = 3 +y
x=3 +y
x+y =1
(3+y) +y=1
3 + 2y= 1
2y= -2
y= -1
Answer choices are
m<1=m<4
M<2=m<3
M<1=m<4=180°
M<2=m<3=180°
Answer:
m<1+m<4=180° should be the answer not sure if the third ones suppose to be + not = if that's the case then I think that one
latoya made $80 for 5 hours of work. At the same rate, how much would she make for 13 hours of work
Answer:
$208
Step-by-step explanation:
First, divide.
80 ÷ 5 = 16
Next, multiply.
16 × 13 = 208
Lastly, have a wonderful day! :)
Answer:
At the same rate, Latoya would make $208 for 13 hours of work.
Step-by-step explanation:
Since Latoya made $80 for 5 hours of work, that means she made a unit rate of $16 per hour. By working at the same rate for 13 hours, she would make a total of [tex]16 * 13 =[/tex] $208.
in the rectangle below, AE=2x+8, CE=5x+4, and m
Answer: 2x+8=12, 5x+4=29
Step-by-step explanation:
2x2=4+8=12
5x5=25+4=29
can someone help me.?!
[tex]{\boxed{\mathcal{\red{h\:=\:9.5}}}}[/tex] ✅
Step-by-step explanation:-[tex]h + \frac{1}{2} = 10 \\ ⇢ h + 0.5 = 10 \\ ⇢ h \: = 10 - 0.5 \\ ⇢ h = 9.5[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
I AM GIVING 50 POINTS :))
The volume of the prism is 81m3
What is the volume of a pyramid that has the same base and height as this prism?
____m3
Answer:
16 x 25 x 37 = 14800 m^3
////////////////////////
Given the triangle below, what is the length
of the hypotenuse?
4 cm
5 cm
Answer:
6.4 cm
Step-by-step explanation:
i think you'd use pythagoras theorem if you don't know any of the angles . a^2 + b^2 = c^2 . so 4^2 + 5^2 = square root 41 ,, = 6.403124237 cm
i apologise if it is incorrect ^^
Answer:
Sq root of 41cm
Step-by-step explanation:
took the test