Answer:
1/20
Step-by-step explanation:
Step 1
We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 8 by 4, and get 32.
Then we multiply 3 by 10, and get 30.
Next we give both terms new denominators -- 10 × 4 = 40.
So now our fractions look like this:
32/40−30/40
Step 2
Since our denominators match, we can subtract the numerators.
32 − 30 = 2
So the answer is:2/40
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
2/40÷ 2 =1/20
Let's try dividing by 2 again...
No good. 2 is larger than 1. So we're done reducing.
There you have it! The final answer is:
1/20
Select the correct answer.
When graphing an inequality, the boundary line needs to be graphed first. Which graph correctly shows the boundary line of the inequality?
y <1/3x+ 1
Answer:
C (Top Right)
Step-by-step explanation:
First things first, the line is dotted which makes it one of the answers since it's less than, instead of equal to or less than. Both numbers are positive, the bottom left graph goes into the -x while the top right graph keeps the slope increasing positively by 1/3 + 1.
The boundary line of the inequality y <1/3x+ 1 is represented by the graph C.
Let us find two points on the line.
You can choose any x-values you like and calculate the corresponding y-values using the equation.
When x=0 then y=1.
When x=3, then y=2
Now let us find the graph in which the line passes through (0, 1) and (3, 2).
The boundary line should be dotted because it is less than and doesnot have equal symbol.
When we observe these two criteria's the graph C is the graph for inequality y <1/3x+ 1.
Hence, Graph c correctly shows the boundary line of the inequality y <1/3x+ 1.
To learn more on Graph click:
https://brainly.com/question/17267403
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U.
15. How many correct answers would be
needed to get a score of 85% on a math
test that has forty questions?
A. 32
B. 34
C. 36
D. None of the above
Answer:
34
Step-by-step explanation:
40 questions times 0.85 equals 34
Hamad go to buy toys for his smaller brother and he have only 5 AED each toy 1 AED cost. how much toys he will buy?
Answer:
5 because its 1 aed so if he buys 5 toys it will be 5 aeds and bye!
Step-by-step explanation:
because its 1 aed so if he buys 5 toys it will be 5 aeds and bye!
Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist. how many miles does the second cyclist bike in 45 mins?
Answer:
Step-by-step explanation:
45 minutes is 3/4 hr.
(3/4)(12 + b) = 9 + 3b/4 miles
Three classes at a junior high school raised money to buy new computers
Answer:
3x+0
Step-by-step explanation:
Find the volume of a coffee can with r= 7.5 cm, h= 16.8 cm, to the nearest cubic centimeter.
Answer:
2969 cm³
Step-by-step explanation:
Volume of cylinder is
V=πr²h
=π*7.5²*16.8
=2968.8
=2969 cm³
Prove: The square of an even number is even
Solve the system of equations using the substitution method.
5x−4y=−15
x−3y=−3
(3, 0)
(0, -4)
(-3, 0)
(0, -3)
Answer:
(-3,0)
Step by step explanation:
make x the subject of the formula in equation 2
x-3y=-3
x = 3+3y
substitute x in equation 1
5(3+3y)-3y = -15
open the brackets
15+15y-3y = -15
15+12y=-15
12y = 15-15
12y = 0
divide both sides by 12
y = 0
substitute y in equation 2
x - 3(0) = -3
x - 0 = -3
x = -3+0
x = -3
therefore x = -3
y = 0
A pattern maker uses 526 yards of muslin cloth each month. The cloth comes on bolts, or rolls, that hold 15 yards each.
How many bolts of muslin cloth does the pattern maker use each month?
Answer: 35.067 or 36, depending on if you need to round or not.
Step-by-step explanation:
The equation for how many bolts the pattern maker needs can be represented as 15x = 526. To find x, divide 526 by 15. 526/15 = 35.067. If you need to, round up to the nearest whole number. 35.067 rounds to 36.
Calculate the volume of a cuboid whose dimensions are 3.6cm 8.2cm 11cm
Answer:
[tex] 324.72 {cm}^{3} [/tex]Step-by-step explanation:
Given,
Dimensions of a cuboid = 3.6cm, 8.2cm and 11cm
As we know,
Volume of a cuboid = length × breadth × height
Therefore,
Volume of the given cuboid
= 3.6cm × 8.2cm × 11cm
(On multiplying)[tex] = 3.6cm \: \times 90.2 {cm}^{2} [/tex]
(On further multiplying)[tex] = 324.72 {cm}^{3} (ans)[/tex]
Hello there! :)
V=lwh (length times width times height)
We are given that:
Length=3.6 cm
Width=8.2 cm
Height=11 cm
Plug the values into the formula for volume:
V=lwh
V=(3.6)(8.2)(11)
Multiply:
V=324.72 cm³ (cubic centimeters)
Remember, volume is measured in cubic centimeters.
Hope it helps. Please let me know if you have any questions.
~A smiley teen who adores helping others
[tex]MagicalNature :)[/tex]
TASK 2 - Calculate the averages for the data sets below (19 marks).
Sun
protection
factor
0
30
Thickness Count on rate-meter (counts per minute)
of lead
Kk
2
3 Average
(cm)
0
446 444 449
1
231 238
240
113
111
110
3
65
63
65
4
34
31
35
Time for UV bead to change colour
(seconds)
1
2
3 Average
31 28
123 122 119
244 247 246
333 331 329
5
2.
10
15
20
448
456
449
Height from
which marble
dropped (cm)
10
1
Crater width (mm)
2
3
10
12
Heart rate (bpm)
2 3
Number of
steps
Average
1
Average
13
10
70
75
73
20
19
19
21
20
90
96
94
30
33
31
31
40
30
49
44
46
95
98
99
50
64
67
68
40
127
130
125
Answer:
abc
Step-by-step explanation:
thanks for ur patience
Which graph represents the solutions to x > ?
Answer:
D because all the values are greater than the point and do not include the point
Answer:
The Answer Is D
Step-by-step explanation:
which of the following represents a function?
x -10 -9 0 5
y 19 17 25 19
Answer:
the correct function is x -10 -9 0 5
while drinking 8 glasses of water a day is good for your health if each glass of water is equivalent to 148 ml how many liters of water you need to consume everyday
Answer:
1184ml
Step-by-step explanation:
8x148= 1184
Simplify (-2)^4(-2) =
(3st)^2 =
7^0=
Answer:
-32
Step-by-step explanation:
The combined amount of ingredients are sugar, brown and white 8 cups, write an addition equation to solve how many cups of brown sugar was added if the chef used 4 cups of sugar
Answer: Yo MAMA + Yo nasty daddy = them having a mistake which is you lol
Step-by-step explanation:
A number, n, is divided by -1/3. The product is 6/5 what is the value of n?
Steps are attached.
Answer =》n = -2/5 = -0.4
______
RainbowSalt2222 ☔
ok. 4. 62 decreased by 2 7 co 8 anolo 5. 14 increased by 14
Answer: Arachidonic acid (AA, sometimes ARA) is a polyunsaturated omega-6 fatty acid 20:4(ω-6), or 20:4(5,8,11,14).
Step-by-step explanation: It is structurally related to the saturated arachidic acid found in cupuaçu butter.[3] Its name derives from the New Latin word arachis (peanut), but it is important to note that peanut oil does not contain any arachidonic acid.[4]
Original price of an SUV $12,000.00 Tax:5.3%
answer options are:
A) (3.5, 0.5)
B) (3.6, 1)
C) (4.3, 3)
D) (4.5, 3.5)
answers B and C have a small horizontal line above the x coordinate decimal place. i have no idea what that means.
Answer:
A) (3.5, 0.5)
Step-by-step explanation:
The small horizontal line represents that that digit is repeated to the right of the decimal point ad infinitum. Example would be the decimal equivalent of 1/9 = 0.11111111111... or 0.1 overbar
so 3.6 overbar would be 3.6666666... or 3⅔
and 4.3 overbar would be 4.3333333... or 4⅓
With AB being 3 times longer than BC, the total distance from A to C is 4 units and AB is 3/4 of that distance.
The x value changes -2 units from 5 to 3.
The x value of B is -2(3/4) = - 1.5 from 5 or 3.5
The y value changes -6 units from A to C
The y value of B is -6(3/4) = -4.5 from 5 or 0.5
B = (3.5, 0.5)
Please help me ASAP please I need help
Answer:
147°
Step-by-step explanation:
Solving for x
To make a straight line the angles have to have a sum of 190. So 180°-33° would equal 147°
Answer:
x = 147°
Step-by-step explanation:
A line is 180°
180 - 33 = 147
plz help its so confusing
Answer:
20, 4
Step-by-step explanation:
Let's assume total number of students registered is n
Last week n/4 people are absent
so people present are n - n/4 = 3n/4
Today after return of Jen 1/5 n are absent
so people present are n - n/5 = 4n/5
which is also equal to last week present people + 1 (Jen)
= 3n/4 + 1
= (3n + 4) / 4
so (3n + 4) / 4 = 4n/5
=> 3n + 4 = 4n/5 * 4
=> (3n + 4) * 5 = 16n
=> 15n + 20 = 16n
=> 20 = n
=> n = 20
So total students registered for class is 20
today no of people absent = n/5 = 20/5 = 4
Use the figure below to find the values of x and y
Answer:
x=40° and y=50°
Step-by-step explanation:
45°+50°+2x+5=180°
100°+2x=180<-- subtract 100 to get x on one side
2x=80
x=40. Thus 2(40)+5 = 85.
85°+55°+x°=180
140°+x=180
x=40°
40°+90°(right angle)=130°, so 180 -130 would equal 50.
y=50°
Sarah mowed 3 lawns in 9 hours what is her rate of mowing in hours per lawn?
Answer:
Sarah mowed 1 lawn in 3 hours
Step-by-step explanation:
3 lawns divided by 3 is 1 lawn
9 hours divided by 3 is 3 hours
Answer:
See below:
Step-by-step explanation:
So we know that she moves 3 lawns in 9 hours, to find how much time she takes per lawn we can divide both sides by three to get our number. We can do this due to the reason below:
[tex]\frac{3}{9}=3:9[/tex]
Due to this, we can simplify both sides by 3 and get our rate of 1 lawn per 3 hours.
Have a nice day and feel free to ask me if you need more help :D
/////////////////////////
Answer:
E. 945Step-by-step explanation:
The shortest root is when you go to next level down at each move.
From the black triangle you can move to 3 triangles below. The level below has 5, then 7, then 9 triangles.
The number of shortest roots is:
3*5*7*9 = 945Correct choice is E
use the correct trig function to find the value of x. (SAH,CAH,TAH)
Answer:
x=13.38
Step-by-step explanation:
Hi there!
We are given triangle ABC, with m<A=45°, CA=13, and BA=x
We want to find the value of x
First, let's find out which side is the adjacent, opposite, and hypotenuse
Using <A as the reference angle:
BC is the opposite
CA is the adjacent
BA is the hypotenuse
Recall the 3 most common trigonometric functions:
Sine is [tex]\frac{opposite}{hypotenuse}[/tex]
Cosine is [tex]\frac{adjacent}{hypotenuse}[/tex]
Tangent is [tex]\frac{opposite}{adjacent}[/tex]
Since we know the values of both the adjacent and the hypotenuse, let's use the cosine of <A
In reference to <A, the ratio will be:
cos(<A)=[tex]\frac{CA}{BA}[/tex]
Substituting all known values gives:
cos(45)=[tex]\frac{13}{x}[/tex]
Now multiply both sides by x
cos(45)x=13
Divide both sides by cos(45)
x=[tex]\frac{13}{cos(45)}[/tex]
Now plug [tex]\frac{13}{cos(45)}[/tex] into your calculator. Make sure that the calculator is in degree mode
x≈13.38
Hope this helps!
Kevin has copays of $30 per office visit, $150 emergency room without
hospitalization and $250 for hospitalization. He had to go to a physician's office 5 times
this year and went to the ER once with no hospitalization. His medical bills totaled
$2,826. How much did Kevin save by being insured? Make sure you show your
calculations!
Answer:
$2526
Step-by-step explanation:
Kevin had copays of 5 × $30 for the office visits and $150 for the ER visit. His total copay was ...
5×$30 +150 = $150 +150 = $300 . . . . amount Kevin paid
If his bills were $2826, his savings were
$2826 -300 = $2526
Kevin saved $2526 by being insured.
PLEASE HELP ME WILL MARK BRAINLIEST AND PLZ EXPLAIN
Use the correct trig function to find the value of x. SOH,CAH, TOA
x = 18.4
Step-by-step explanation:
For this problem, we are going to use the cosine function to find x:
[tex]\cos{45°} = \dfrac{adj}{hyp} = \dfrac{13}{x}[/tex]
[tex]\Rightarrow x = \dfrac{13}{\cos45°} = 18.4[/tex]
What equipment is generally used to make lyophilized medications suitable for administering to the patient? a) Test tubes or sterile ampules b) Petri dishes and sterile droppers c) Sterile syringes or graduated cylinders d) Measuring cups and clean, warm water
Answer:
B. Petri dishes and sterile droppers