The expression 2/3a -7+7/18a-5 1/6 is an illustration of fractions
The simplified expression of 2/3a -7+7/18a-5 1/6 is 19/18a -73/6
How to evaluate the expression?The expression is given as:
2/3a -7+7/18a-5 1/6.
Collect like terms
2/3a -7+7/18a-5 1/6 = 2/3a + 7/18a-7-5 1/6.
Express mixed fractions as improper fractions
2/3a -7+7/18a-5 1/6 = 2/3a + 7/18a - 7 - 31/6.
Evaluate the sum and difference
2/3a -7+7/18a-5 1/6 = 19/18a -73/6
Hence, the simplified expression of 2/3a -7+7/18a-5 1/6 is 19/18a -73/6
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in English test, crissy scored 49 of a possible 60.What amount was her percentage mark
To solve this question, just divide.
49/60 = 0.81666666666
= 82%
Answer:
Crissy's percentage is 82% (81.67% rounded).
Step-by-step explanation:
1. 49 / 60 = 0.82 (0.81666 rounded)
2. 0.82 x 100
3. 82%
Unit 1 Scale Drawings Review
(6 OT 6)
This diagram is a scale drawing of a store.
4 inches
1 inches
3 inches
2 inches
Scale: 1 inch - 16 feet
To the nearest 50 square feet, what is the area of the actual store?
A. 2,350 square feet
B. 2,400 square feet
C. 2,450 square feet
D. 2,500 square feet
Answer:
Correct choice D. 2,500 square feet
Step-by-step explanation:
Area of a rectangle
The area of a rectangle of dimensions x, y is:
A=x.y
The diagram provided in the question is to a scale of 1 inch=16 ft.
We have provided a modified diagram where all the dimensions are also shown in ft.
The longer side of the shape is 4*16=64 ft
The smaller side of the shape is 3*16=48 ft
The bottom side of the store is 2 1/4*16=36 ft
The leftmost side of the store is 1 3/4*16=28 ft
We need to find the value of x and y.
The value of x is x=64 ft - 36 ft = 28 ft
The value of y is y=48 ft - 28 ft = 20 ft
The area of the whole rectangle of dimensions 48 ft and 64 ft is:
[tex]A1=48 ft * 64 ft = 3,072 \ ft^2[/tex]
The area of the small blue rectangle is:
[tex]A2=28 ft * 20 ft = 560\ ft^2[/tex]
The area of the store is:
[tex]As=A1-A2=3,072 \ ft^2- 560\ ft^2=2,512 \ ft^2[/tex]
Rounding to the nearest 50 square feet:
[tex]\boxed{As=2,500 \ ft^2}[/tex]
Correct choice D. 2,500 square feet
35 points will mark brainliest if correct
What is the equation, in standard form, of a parabola that contains the following points?
A. Y=6x^2+5x-4
B. Y=-4x^2-5x+6
C. Y=5x^2+4x-6
D. Y=4x^2+5x-6
Answer:
The answer is D. ([tex]4x^{2} +5x-6[/tex])
Step-by-step explanation:
An easy way to figure out the answer fast is to plug the x values into the equation.
A candle that is 8 inches tall burns at a rote of 3/4. inches per hour. Find the height of the candle ofter 4 hours. O 7 inches 2 inches 5 inches O 6 inches
Answer:
5 inches
Step-by-step explanation:
Rate: 3/4 in/hr
In 4 hours, the amount that burned is 4 hr * 3/4 in/hr = 3 in
Amount of candle left: 8 in - 3 in = 5 in
Answer: 5 inches
the difference of a number t and 7 is greater than 10 and less than 20. write as an equation or inequality
Answer:
20>x-7>10
hope it will help you
EMERGENCY! PLEASE ANSWER ASAP!
Anwser 52 degrees
Step-by-step explanation:
first you figure out the 2 angles the triangle is missing so 28-90 would be 62
then to find the other unknown angle you solver for the larger triangle
so 90+48=138
180-138=42
42+62=104
104+2y-30=180
add 30
104+2y=210
-104
2y=106
divide by 2
y=53
I did it wrong :) don't pay attention to this comment XP
Your cafeteria line requires 8 minutes on the average for each customer to proceed through the line and pay the cashier. The average time space between each customer is 30 seconds. If the line is open for 14 hours for lunch, how many customers can you serve for lunch?
Answer:
99 customers.
Step-by-step explanation:
Ok so
14 hours = 840 minutes
Each customer requires 8 and a half minutes
8 minutes (to proceed through the line)
and
30 seconds (the interval time in between to get to another customer)
840 minutes ÷ 8.5 = 98.8..
Therefore, you can approximately serve 99 customers in 14 hours.
I didn't simply round that up, but the last customer does not need the 30 seconds of interval so therefore, you would get to serve 99 customers in 14 hours anyway.
Two angles form a linear pair. The measure of one of the angles is 62º. What is the measure of the other angle in the linear pair? 118º 62º 28º I don't know.
Answer: 118
Step-by-step explanation:
The measures must add to 180, so 180-62=118
Question 18 (5 points)
(01.02 LC)
In circumstances in which there is a recession, employees may have to (5 points)
оа
allow another person to negotiate their salary
Ob
increase production to reduce employer costs
ос
learn new skills or face unemployment
O O
d
relocate to find work that fits their skills
When there is a recession, the employees will have to с learn new skills or face unemployment.
What happens in recessions?Recessions are a period of low business productivity which means that jobs would become very competitive.
An employee should therefore learn new skills that will make them more attractive in the market or they will probably end up unemployed.
Find out more on recessions and unemployment at https://brainly.com/question/1286306.
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Let f(x)=x^3 and g(x)=√3 and h(x)=x/3 find the following
a f(g(h(6)))
b f(g(h(x)))
c h(g(f(4)))
d h(g(f(x)))
Please help dont understand this at all
Step-by-step explanation:
for the (a) put 6 in for x in h(x)=x/3
which looks like this...
h(6)=6/3 so, h=2
not put 2 in for x in g(x)=√3
which would end up as...
g(x)=√3 since there is no x in the equation
now finally put √3 in for x in f(x)=x^3
so, f(√3)= √3^3
which is... f(x)= 3√3
[Answer] a= 3√3
Now you should be able to solve the other ones if you need help message below
Please rate and mark me the brainliest!! I hope this helps!!
The radius of a semi‑circle is 32. 4 km. What is the diameter of the
figure. (Decimal answer only)
Answer:
64.8 km would be the diameter of the figure.
which expression is equivalent to 8/6?
8√6 = √64 x √6 = √(64x6) = √384
Answer:
D
Step-by-step explanation:
[tex] \sqrt{14 } = cannot \: be simplified \: further[/tex]
[tex] \sqrt{48} = \sqrt{16} \sqrt{3 } = 4 \sqrt{3} [/tex]
[tex] \sqrt{96} = \sqrt{16} \sqrt{6} = 4 \sqrt{6} [/tex]
[tex] \sqrt{384} = \sqrt{64} \sqrt{6} = 8 \sqrt{6} [/tex]
For Exercises 1-4, describe a sequence of five correct or incorrect
answers that would produce each Math Fever score. Write a number
sentence for each score.
1. Super Brains: 300
2. Rocket Scientists: 200
3. Know-It-Alls: 250
4. Teacher's Pets: 0
I have another question about this. It's pretty simple. Thanks!!
Answer:
Quadratic Function!
h(x) = 1/3x - 1 if h (15)
Answer:
(
h
∘
f
∘
g
)
(
x
)
is known as a composite function. Here's how composite functions work:
let's say that
x
=
1
. Your function
g
(
x
)
=
1
3
(
x
)
now produces a
y
output of
1
3
, since
g
(
1
)
=
1
3
(
1
)
. Within a composite function, the y-value of one function becomes the x-value of the next, like so:
g
(
1
)
=
1
3
⇒
f
(
1
3
)
=
17
3
⇒
h
(
17
3
)
=
17
Therefore,
(
h
∘
f
∘
g
)
(
1
)
=
17
Based on this, to find the function for
(
h
∘
f
∘
g
)
(
x
)
(combined from right to left, by the way), simply replace
x
in
f
(
x
)
with the function
g
(
x
)
, and replace
x
in
h
(
x
)
with the function of
(
f
∘
g
)
(
x
)
, to get
(
h
∘
f
∘
g
)
(
x
)
.
This, simplified, is equal to
2
x
+
15
, and therefore
(
h
∘
f
∘
g
)
(
1
)
=
2
(
1
)
+
15
=
17
Hope that helps!
Which of the following are correctly balanced reactions?
Check all that apply.
A. Si + Cl2 → SICIA
B. 2H2 + O2 + 2H20
C. Ca + FeO + 2Fe + Cao
D. 2Na+ Br2 → 2NaBr
Answer: b and d
Step-by-step explanation
How many complete rotations does the minute hand of a clock make as it moves from 12:00 noon to 4:00 p.m.? rotations
Answer:
60 x 4 = 240 times
Step-by-step explanation:
In every hour there are 60 minutes.
That means for every hour the minute hand moves 60 times
Take the amount of hours and times it by 60 ( Hours x 60 )
The minute hand of the clock completes 4 rotations as it moves from 12:00 noon to 4:00 p.m
What is complete rotation of minute hand ?In a clock there are second hand, minute hand and hour hand, all rotates anticlockwise. If the minute hand come at the same place after start rotating from that place , then the rotation is called one complete rotation.
Since 1 complete rotation of a minute hand takes 60 minutes, which is one hour.
Therefore, In one hour the minute hand completes one rotation.
Thus, after first complete rotation of minute hand the time will be 1:00 p.m.
After two complete rotation of minute hand the time will be 2:00 p.m.
After three complete rotation of minute hand the time will be 3:00 p.m.
Similarly, after four complete rotation of minute hand the time will be 4:00 p.m.
Hence it takes 4 complete rotation of a minute hand to moves from 12:00 noon to 4:00 p.m.
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What is the value of the function at x=−2?
A) y=−2
B) y = 0
C) y = 2
D) y = 3
if P1 is (3,-3) and the midpoint is (-2,1), what are the points of P2?
Step-by-step explanation:
Hey there!
The points P1(3,-3) and midpoint is (-2,1). Let (X,y) be the end point.
Note: Find through using midpoint formula.
midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )
Put all values.
(\frac{X+3}{2},\frac{-3+y}{2})
Since they are equal, equating with it's corresponding components.
\frac{3 + x}{2} = - 2
-2 = 3 + x
-4 -3= x
Therefore, X= -7.
Now,
[tex] \frac{ - 3 + y}{2} = 1[/tex]
[tex] - 3 + y = 2[/tex]
Therefore, y= 5
Therefore, the other end point is (3,5).
Hope it helps...
Find the unknown angle:
R?
17
330
30
S
Answer:
[tex]R=145^o[/tex]
Step-by-step explanation:
Label the triangle (Best for organization)
Longest side of the triangle is called the Hypotenuse, or Hyp.
Shortest side of the triangle is called the Opposite, or Opp.
Last side of the triangle is called the Adjacent, or Adj.
Formula
[tex]sin[/tex] x*=[tex]\frac{Opp}{Hyp}[/tex]
Find the inverse (value for "?")
sin x*=17/30
x*=[tex]sin^{-1}[/tex][tex](\frac{17}{30} )[/tex]
34.5*-->35*
?=35*
Triangle interior angles amount in 180 degrees
180-(35+33)=112*
Exterior angle equals the two opposite interior angles (aka/ defined as the Exterior Angle Theorem)
R=33*+112*
R=145*
i think of a number double it and add eleven. i get 25
a)use the statement above form an equation use the letter x for the uknown number
b) solve the equation
Answer:
Answer= 7
Step-by-step explanation:
the unknown number being, x, .
i think of a number ( x), double it, ( 2× x)= 2x, and add 11 to be ( 2x + 11), i get 25.
So, the equation will be:
2x + 11 = 25.
to solve it, take (+11) to the equals side and it will change to (-11), or in other words, subtract 11 on both sides.
the equation will thus remain to be:
2x = 25-11
2x = 14.................Divide both sides by 2 to remain with x
so, X = 7.
Which function is represented by the graph?
a. f(x) = −2|x| + 1
b. f(x) = |x| + 1
c. f(x) = -2|x + 1|
d. f(x) = |x + 1|
pls help
Answer:
Step-by-step explanation:
The vertex is at x=0, so you can eliminate c and d.
To check if its a or b, you can notice that since it opens down, the coefficient of |x| must be negative, making it a.
mark gets a haircut every two weeks. he spends 15 dollars and 3 dollars for a tip for each haircut. how much does he spend on haircuts in one year
1. The product of the first three terms of a geometric progression is 512.If the first term is a, and the
common ration is
(a) Express rin terms of a
(3 marks)
(b)Given that the sum of the three terms is 49
Answer:
sumala nimo tiguwang naman ka
Two different families bought general admission tickets for a Reno Aces baseball game.
One family paid $70 for 6 adults and 2 children. The other family paid $59 for 3 adults and
4 children. How much does an adult ticket cost?
Answer:
Family One:
$8x6= $48
$70-$48= $22
$22 ÷ 2 = $11
48+22= 70
Family Two:
$8x3= 24
$11x4= 44
44+24 =68
Family Two is not $59 so A isn't correct
Family One:
$9x6= $54
$70-$54= $16
$16÷2= 8
$54+$16= $70
Family Two:
$9x3=$27
$8x4= $32
$32+$27 =$59
These numbers match up to the ticket prices- therefore the answer is B. Adults tickets = $9
Compare
5/8 and 7/12
Answer:
to compare them, you have to get the same denominator. So you change the denominator to 24 by multipling 7/12 by 2, and 5/8 by 3. Then you have 14/24 and 15/24. This means that 5/8 is greater than 7/12
Step-by-step explanation:
Hope this helps. If you want, please mark me as brainliest
Answer: Please mark me brainlest 15
24
>
14
24
or
5
8
>
7
12
Step-by-step explanation:
Find the least common denominator or LCM of the two denominators:
LCM of 8 and 12 is 24
For the 1st fraction, since 8 × 3 = 24,
5
8
=
5 × 3
8 × 3
=
15
24
Likewise, for the 2nd fraction, since 12 × 2 = 24,
7
12
=
7 × 2
12 × 2
=
14
24
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
Yellow light has a frequency of 5.2 × 1014 hz and travels at a speed of 3.0 × 108 m/s. what is the wavelength of yellow light, in meters? 5.8 × 10–7 m 2.2 × 10–6 m 1.7 × 106 m 8.2 × 1022 m
Wavelength is the ratio of speed and frequency. The wavelength of yellow light is 5.8 × 10⁻⁷ m. Then the correct option is A.
What is division?The division means the separation of something into different parts, sharing of something among different people, places, etc.
Yellow light has a frequency of 5.2 × 1014 Hz and travels at a speed of 3.0 × 108 m/s. Then the wavelength is given as
[tex]\lambda = \dfrac{v}{f}\\\\\\\lambda = \dfrac{3.0 \times 10^8}{5.2 \times 10^{14}}\\\\\\\lambda = 5.76\times 10 ^{-7} \approx 5.8 \times 10 ^{-7}[/tex]
More about the division link is given below.
https://brainly.com/question/369266
Answer:
A
Step-by-step explanation:
Help me please......
Answer:
A is the correct answer
Use the substitution method to solve the following system of equations:
3x + 5y = 3
x + 2y = 0
Answer:
[tex]\displaystyle [6, -3][/tex]
Step-by-step explanation:
To begin this process, we will first select the second equation. Here is how the Substitution method wourks:
[tex]\displaystyle \left \{ {{3x + 5y = 3} \atop {x + 2y = 0}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {x = -2y}} \right. \\ \\ 3[-2y] + 5y = 3 \hookrightarrow -6y + 5y = 3 \hookrightarrow -y = 3; -3 = y, 6 = x \\ \\ \\ \boxed{[6, -3]}[/tex]
So, you substitute [tex]\displaystyle x[/tex]for [tex]\displaystyle -2y[/tex]and continue combining like-terms until you receive the y-value. You then plug this back into the system to get the x-value, which was what you saw.
I am joyous to assist you at any time.
Find the values of a, b and c.
Answer:
∠a= 65°, ∠b= 115°, ∠c= 25°
Step-by-step explanation:
The sum of the angles in a triangle is 180°. This is abbreviated to '∠ sum of ∆'.
∠c +55° +60° +40°= 180° (∠ sum of ∆PQR)
∠c +155°= 180°
∠c= 180° -155°
∠c= 25°
∠a +60° +55°= 180° (∠ sum of ∆PQS)
∠a +115°= 180°
∠a= 180° -115°
∠a= 65°
The sum of the angles on a straight line is 180°. It's abbreviation is 'adj. ∠s on a str. line'.
∠b +∠a= 180° (adj. ∠s on a str. line)
∠b +65°= 180°
∠b= 180° -65°
∠b= 115°