Answer:
15/2
Step-by-step explanation:
5 3/4 - 1/6x = 4 1/2
move the variable to it's own side.
5 3/4 - 4 1/2 = 1/6x
change the subtracting side to have common denominators
5 3/4 - 4 2/4 = 1/6x
1 1/4 = 1/6 x
divide both sides by 1/6, same thing as multiplying both sides by 6 (reciprocal)
30/4 = x
reduce: 15/2 = x
The value of x should be 15/2.
Calculation of the value of x:Since
5 3/4 - 1/6x = 4 1/2
So, it can be like
5 3/4 - 4 1/2 = 1/6x
Now
5 3/4 - 4 2/4 = 1/6x
1 1/4 = 1/6 x
Now we have to divide both sides by 1/6
So,
30/4 = x
x = 15/2
Learn more about an equation here: https://brainly.com/question/24607813
A circular plate has circumference 32 inches. What is the area of this plate? Use 3.14 for pi. The area of this plate is about nothing square inches.
Answer: The area of the plate is 81.67 in^2
Step-by-step explanation:
If we have a circle of radius R, the area of this circle can be computed as:
A = pi*R^2
where pi = 3.14
And the circumference is:
C = 2*pi*R
and we know that this is equal to 32 in, then:
32in = 2*pi*R
Now we can isolate R, and we get:
32in/(2*pi) = R
32in/(2*3.14) = R = 5.1 in
Then the area of the plate is:
A = 3.14*(5.1in)^2 = 81.67 in^2
20 POINTS!!!!!! HELP PLEASE!!!!!!!
Answer:
umm???????????? let me try doin it
Re-write the quadratic function below in Standard Form
y=−7(x+1)^2+5
Answer:
y=-7x^2-14x-2
Step-by-step explanation:
Hope this helpz
Find the missing angle of the parallelogram.
V
52°
?
60
Answer:
3120
Step-by-step explanation:
52x60=3120
Answer:68
Step-by-step explanation:
Do 52 plus 60 then subtract it by 180 and you get 68
A swimmming pool with cylindrical base has a diameter of 21 feet and a depth of 5 feet. Find the volume of the pool
Answer: V = 1731.8Ft³
Step-by-step explanation:
v = πr²h
Radius is half of the diameter ⇒ 21/2 = 10.5
V = π(10.5)²(5)
V=π(110.5)(5)
V = π(551.25)
V = 1731.8Ft³
The solution is : the volume of the pool is V = 1731.8Ft³.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Here, we have,
we know that,
the volume of the cylinder is:
v = πr²h
Radius is half of the diameter
⇒ 21/2
= 10.5
so, we get,
V = π(10.5)²(5)
V=π(110.5)(5)
V = π(551.25)
V = 1731.8Ft³
Hence, The solution is : the volume of the pool is V = 1731.8Ft³.
To learn more on volume click :
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simplify 32q2r2/4q3r
Answer: 16q5r2
Step-by-step explanation:
last week Patrice mad (15d + 400) dollars. this week she made (10d + 50) dollars. write an expression that represents how much money she made altogether over the last weeks.
(15d+400)+(10d+50)
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hope it helps
Hi guys can you answer my math question 1 2 and 3
Answer:
1. a) 7
b) 8
c)7
d) 6
2. a) -2 < 4
b) -3 > -5
c) -1°C
3. 39.95
Step-by-step explanation:
Find the volume of the figure I-ready
14 cm, 8 cm, 10 cm, 10 cm, 10 cm and 8 cm
123456789000009876543212345678908765435rtgbhnmkjhgvf bjlogvoufcggg 60
A number n divided by 12 is 10.
or n +
Step-by-step explanation:
10.....................
Answer:
n = 120
Step-by-step explanation:
1) Mike invests $2,316 in a retirement
account with a fixed annual interest rate of
3% compounded continuously. What will
the account balance be after 17 years?
Answer:
$3828 approx
Step-by-step explanation:
Given data
Principal=$2316
Rate= 3%
Time= 17 years
The compound interest formula is
A=P(1+r)^t
substitute
A=2316(1+0.03)^17
A=2316(1.03)^17
A=2316*1.652847
A=$3827.99
Hence the account balance after 17 years is $3828 approx
write the ratio as a fraction in simplest form with whole numbers in the numerator and denominator
45 : 5
Answer:
9/1
Step-by-step explanation:
45/5 = 9
solved in fully simplified slope intercept form
Answer:
-1/2
Step-by-step explanation:
Answer:
y = -1/2x + 1
Step-by-step explanation:
(0,1) and (2,0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0-1)/(2-0)
m=(-1)/2
m= -1/2
Slope-intercept:
y - y1 = m(x - x1)
y - 1 = -1/2(x - 0)
y - 1 = -1/2x
y = -1/2x + 1
Select all the expressions that represent the area of the large, outer rectangle.
5(2+4)
5⋅2+4
5⋅2+5⋅4
5⋅2⋅4
5+2+4
5⋅6
Answer:
Step-by-step explanation:
it would be 5*2*4
5*2+5*4.
Please help me Find x, y, and z
Answer:
X 90 z 90 y 90
Step-by-step explanation:
A highway is going to be built around a city. The highway will be in the shape of a perfect circle, and its total length will be 251.2 kilometers. A nearby bus stop will have a billboard with a map of the bus routes along the highway. The map is drawn to a scale of 1:7,500. Calculate the area that is surrounded by the highway on the billboard map. Round the answer to the nearest hundredth of a square meter.
Answer:
The area that is surrounded by the highway on the billboard is approximately 89.34 square meters
Step-by-step explanation:
The given parameters are;
The length of the circle shaped highway = 251.2 km
The scale of the map of the bus routes along the highway = 1:7,500
The circumference of a circle, C = 2·π·r = The length of the perimeter of the circle
Therefore, we have;
The circumference of the highway = The length of the circle shaped highway = 251.2 km
The circumference of the highway, C = 251.2 km = 2·π·r
The radius of the circular highway path, r = 251.2 km/(2·π) ≈ 39.994217 km
The area of a circle, A = π·r².
The area of the highway = π·r² = π × (39.994217 km)² ≈ 5,025.09492434 km.²
Given that the scale of the map = 1:7,500. we have;
The scale of the area = (1:7,500)² = (1:56,250,000)
The size of the drawing, 5,025.09492434 km.²/(56,250,000) = 0.00008933502 km² = 89.33502 m.²
Therefore, the area that is surrounded by the highway on the billboard, rounded to the nearest hundredth of a square meter ≈ 89.34 m.²
Ben has 43 coins belonging to dimes or quarters. If he has
$8.80, how many dimes does he have?
dimes
Answer:
7 dollars and 50 cents of quarters. That right there equals 30 coins
He has a dollar and thirty cents in dimes and that equals 13 coins
Together that is $8.80. with 43 coins.
Step-by-step explanation:
what is the y-int of the curve
Answer:
The y-intercept is (0,3)
Step-by-step explanation:
Which statement is true?
The opposite of 6 is - 5, and is located to the right of 0 on a number line.
The opposite of 6 is -, and is located to the left of 0 on a number line.
The opposite of 6 is -6, and -6 is located to the right of 0 on a number line.
The opposite of 6 is -6, and -6 is located to the left of 0 on a number line.
In the evenings, Jake and his friends would cookout and make s'mores for dessert. the ratio of chocolate squares to Graham crackers that they used is shown in the graph below. (repost)
Answer:
(2,3) also love your profile pic :)
( 2,3 ) I hope this helped you!~ have a great day~
~Keiji❤
Treat yourself well, remember to eat. You are valid. Love you!~
State the slope and y-intercept of the graph of y = 1/5x – 7.
Answer:
The slope is 1/5 and the y-intercept is -7
Step-by-step explanation:
In point-slope form (y = mx + b), m is the slope and b is the y-intercept.
At an ice cream shop, 4 of the last 10 cones sold had cookies and cream ice cream. Considering this data, how many of the next 15 cones sold would you expect to have cookies and cream ice cream?
Answer:
6 cones
Step-by-step explanation:
4/10=2/5
2/5x3x3=6/15
6 cones
i need help this is dude tomorrow
Answer:
B. y=-x+2
Step-by-step explanation: If you plot each equations on desmos graphing calculator you can look for those points and see if is on there.
i need help with this
Answer:
the second one
Step-by-step explanation:
When subtracting a negative, the negative turns to a positive, so in this case, -14- -8 would be the same as -14 + 8
PLEASE HELPPPPP
The revenue made by a car
company from the sale of y cars is given by 0.003y! +
10y. The cost to produce y cars is given by the polynomial 20y + 1,000,000. Write
a polynomial expression for the profit from making and selling y cars. Find the
profit the company will make if it sells 30,000 cars.
Answer:
Part A
The polynomial expression for the profit from selling and making 'y' cars is 0.003·y² - 10·y - 1,000,000
Part B
The profit made from selling 30,000 cars is 1,670,000
Step-by-step explanation:
Part A
Taking the revenue, 'R', made by the car company for the sale of 'y' cars as R = 0.003·y² + 10·y
The cost to produce 'y' cars, C = 20·y + 1,000,00
The profit, 'P', from making and selling 'y' cars is given as follows;
P = R - C
∴ 0.003·y² + 10·y - (20·y + 1,000,00) = 0.003·y² - 10·y - 1,000,00
An expression of the polynomial for the profit 'P', from selling and making 'y' cars is therefore presented as follows;
0.003·y² - 10·y - 1,000,000
Part B
The profit made from selling 30,000 cars, (y = 30,000) is given as follows;
= 0.003·y² - 10·y - 1,000,000
[tex]P_{y = 30,000}[/tex] = 0.003 × 30,000,000² - 10×3,000 - 1,000,000 = 1,670,000
The profit made from selling 30,000 cars = 1,670,000.
I need the answer to this
Answer:
parallel as if we place the ond the coordinate grkd they will form lines paral.el to each other(;
Write the percent as a fraction or mixed number in the simplest form.
88% =
Answer:
Step-by-step explanation:
22/25
im feeling generous. entertain me
Answer:
-,-
Step-by-step explanation:
The price of a holiday was decreased by 12 percent to 600 . What was the price before the decrease?
Price before decrease = x
If price before decrease is 100, then price after decrease = 100- 12 = 88
100:88 = x:600
100/88=x/600
100/88 ×600 = x
681.82 =x
Price before decrease =681.82
4. Of 100 students surveyed, 32
like green beans, 40 like carrots,
20 like both green beans and
carrots, and 8 do not like green
beans or carrots. Based on
these results, how many of the
next 40 students surveyed would
expect to like carrots only?
Answer:
16 students
Step-by-step explanation:
40 kids like only carrots and 40% of a hundred is 40%, so out of the 40 students that will be surveyed only 40% will like only carrots. 40% of 40 is 16