2
-10 and 10 are 10 units from 0 on the number line
Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 1.5% syrup?
Answer:
He needs 0.075 lbs of sugar and 4.925 lbs of water.
Step-by-step explanation:
Let x lbs be the amount of sugar in the syrup. Then 5-x lbs is the amount of water in this syrup.
Note
5 lbs - 100%
x lbs - 1.5%
Write a proportion:
[tex]\dfrac{5}{x}=\dfrac{100}{1.5}[/tex]
Cross multiply:
[tex]100x=5\cdot 1.5\\ \\100x=7.5\\ \\x=\dfrac{7.5}{100}=0.075[/tex]
So, he needs 0.075 lbs of sugar and 5 - 0.075 = 4.925 lbs of water.
Is 6 a solution to the equation below. Yes or No?
6x + 4 = 42
Answer:
no
Step-by-step explanation:
6 times 6 is 36 and 36 plus 4 is 40 not 42
find a ordered pair to represent a in the equation a=b+c if b= (6,3) and c =(-4,8)
Answer:
So ordered pair a is (2,11)
Step-by-step explanation:
We are given
a = b+c
and ordered pair b =(6,3) and ordered pair c =(-4,8)
Putting values of b and c in the given equation and adding x and y coordinates of b and c we can find ordered pair a.
a=(6,3)+(-4,8)
a =(6-4,3+8)
a =(2,11)
So ordered pair a is (2,11)
what is the period of the function y=2sinx?
Answer:
C. 2π
Step-by-step explanation:
Given a wave of the equation y= a sin bx where a and b are constants, then the amplitude is a while the period is 360°/b.
360°= 2π radians
For the provided function, the value of b =
Thus period = 2π/1
=2π radians
Answer: 2 Pi
Step-by-step explanation:
find f (-3) if f(x) = x^2
Konichiwa~! My name is Zalgo and I am here to help you out today. If f were to equal -3, first we need to put -3 into the equation. It would look like "f(-3)=x^2". The answer to that equation is 9.
I hope that this helps! :T
"Stay Brainly and stay proud!" - Zalgo
What is the sum of 4ft 4 in and 1 ft 11in
Answer:
6ft 3in
Step-by-step explanation:
4ft + 1ft = 5ft
4in +11in= 15in
15in =1ft and 3in
5ft+ 1ft 3in= 6ft 3in
The formula F=mv^2/r gives the centripetal force F of an object of mass m moving along a circle of radius r, where v is the tangential velocity of the object. Solve the formula for v. Rationalize the denominator. Calculate the tangential velocity of a 100kg object with a force of 50 Newton, moving along a circular path with a diameter of 150 meters.
Answer: (It didn't say what to have the units in so I assumed as is)
(pm) 5sqrt(6)/2
(pm) 6.12372 (rounded version)
Step-by-step explanation:
F=mv^2/r (Given)
rF=mv^2 (Multiply both sides by r)
rF/m=v^2 (Divide both sides by m)
v=(pm) sqrt(rF/m) (Square root both sides)-(pm means plus or minus)
v=(pm) sqrt(rF)/sqrt(m)
v=(pm) sqrt(rF)sqrt(m)/m (I had multiply top and bottom by sqrt(m))
v=(pm) sqrt(rFm)/m
*sqrt( ) means square root of whatever is in the ( ) that follows the sqrt
Now find v if F=50, m=100 kg, and r=150/2=75 so plug in
v=(pm) sqrt(75*50*100)/100
v=(pm) sqrt(375000)/100 OR
v=(pm) sqrt(100*25*3*25*2)/100
v=(pm) 10*5*sqrt(3)*5*sqrt(2)/100
v=(pm) 250sqrt(6)/100
v=(pm) 2.5sqrt(6)
v=(pm) 5sqrt(6)/2
Or if you want a decimal number rounded, it would be (pm) 6.12372
The formula for calculating the centripetal force of an object in circular motion can be rearranged to find velocity. You compute the tangential velocity of a 100kg object with a force of 50N, moving on a circular path with a diameter of 150m, by plugging these values into this rearranged formula. This calculation results in a value of approximately 61.24 m/s for the tangential velocity of the object.
Explanation:The formula F=mv^2/r calculates the centripetal force (F) of an object of mass (m) moving in a circular path with a radius (r). You can solve this formula for velocity (v) by first multiplying both sides by r, making the formula Fr=mv^2. Then, divide both sides by m, which makes the formula Fr/m = v^2. Finally, take the square root of both sides to get v = √(Fr/m).
To calculate the tangential velocity of a 100kg object with a force of 50 Newton, moving along a circular path with a diameter of 150 meters, you must first divide the diameter of the circle by 2 to get the radius, 75 meters. Next, substitute the given values into the formula; v = √((50N * 75m) / 100kg). Therefore, the tangential velocity is approximately √(3750N·m/kg) = 61.24 m/s.
Learn more about Tangential Velocity here:https://brainly.com/question/33443064
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The diagram below gives the dimensions of a swimming pool.
- 18 ft
What is the total area of the swimming pool? Show your work. (2 points)
b. What is the perimeter of the swimming pool? Show your work. (2 points)
Click or tap here to enter text.
Answer:
[tex]area = base \times hight 36 \times 18 \: ad perimeter \: base \times base \times hight \times hight36 \times 36 \times 18 \times 18[/tex]
Area is given by base * the Hight which gives the area of the pool
33
Ebony is making a scale drawing of her farm. The farm has a circular well with a circumference
of 47 feet. In the drawing, the area of the well will be 0.641 square centimeters.
What scale is Ebony using?
A 1 cm = 0.16 ft
B 1 cm = 2.5 ft
C 1 cm = 5 ft
D 1 cm = 6.25 ft
Answer:
B
Step-by-step explanation:
Circumference of a circle is:
C = 2πr
Area of a circle is:
A = πr²
The circumference of the well is 47 ft and the area of the well in the drawing is 0.641 cm². If we say r is the radius of the circle on the drawing in centimeters and R is the actual radius of the well in feet, then:
47 = 2πR
0.641 = πr²
Solving for each:
R = 47 / (2π) ≈ 7.48 feet
r = √(0.641 / π) ≈ 0.452 cm
The scale is the ratio of R / r:
R / r = (7.48 ft) / (0.452 cm) = 16.6 ft/cm
So 1 cm = 16.6 ft.
This isn't one of the options. Are you sure you copied the problem correctly?
Maybe you meant that the circumference is 4π feet, and the area is 0.64π cm². If so:
R = 4π / (2π) = 2 feet
r = √(0.64π / π) = 0.8 cm
R / r = (2 feet) / (0.8 cm) = 2.5 ft/cm
So 1 cm = 2.5 ft.
Consider a triangle ABC like the one below. Suppose that A = 27°, C = 78°, and b = 66. (The figure is not drawn to scale.) Solve
the triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".
We don't get to see the figure but we don't need it.
The remaining angle B is
B = 180 - 27 - 78 = 75°
The Law of Sines gives the remaining sides
[tex]\dfrac{a}{\sin A} =\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
[tex]a = \dfrac{b \sin A}{\sin B} = \dfrac{66 \sin 27}{sin 75} \approx 31.0203[/tex]
[tex]c = \dfrac{b \sin C}{\sin B} = \dfrac{66 \sin 78}{sin 75} \approx 66.8350[/tex]
Answer: B=75°, a=31.0, c=66.8
No need for "or" on this one. That happens when we know the sine of an angle so there are two possibilities for the angle, an acute one and an obtuse one that's supplementary.
582.5 divided by 2.5
Answer:
You'll get your answer as : 233
Write 6.92 x 10-8 in standard notation
Answer:
0.0000000692
Step-by-step explanation:
We are given the following number in scientific notation and we are to express it in standard notation:
[tex] 6 . 9 2 \times 1 0 ^ - 8 [/tex]
We know that:
[tex] 6 . 9 2 \times 1 0 ^ { - 8 } = \frac { 6 . 9 2 } { 1 0 ^ { 8 } } = \frac { 6 . 9 2 } { 1 0 0 , 0 0 0, 0 0 0 } = 0 . 0 0 0 0 0 0 0 6 9 2 [/tex]
Therefore, the answer in standard notation is 0.0000000692.
Answer:
0.0000000692
Step-by-step explanation:
6.92 x [tex]10^{-8}[/tex]
= 6.92 x 0.00000001
= 0.0000000692
Use the properties of exponents to rewrite the expression.
(-3yz)(-3yz)(-3yz)(-3yz)
Answer:
Answer is 81y^4z^4
Step-by-step explanation:
The expression is (-3yz) (-3yz) (-3yz) (-3yz).
Since all the four terms have power 1:
(-3yz)^1 (-3yz)^1 (-3yz)^1 (-3yz)^1
We know that we can add the powers if the terms have same base
So,
=(-3yz)^1+1+1+1
=(-3yz)^4
=(-3)^4(y)^4(z)^4.
If the power is an even number than the negative sign changes into positive sign.
=3^4y^4z^4
=81y^4z^4
Thus the answer is 81y^4z^4....
4 to the second power divided by (3 + 1)
Answer:
4
Step-by-step explanation:
3 + 1 = 4
4 to the second power / 4 is 4
Hello There!
[tex]4^{2}[/tex] is multiplying 4 by itself twice, so we would get an answer of 16.
Finally, we divide 16 by 4 because 3+1=4 and when we do this, we get a quotient of 4
Your Answer Is 4
Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What is the weight of each person?
Julie weighs ___ a0 pounds, Ted weighs ___ a1 pounds, and Mike weighs ___ a2 pounds.
The answer to this question is that Julie weighs 210lbs, Ted weighs 420 (210 multiplied by 2 is 420). Mike weighs 630 (210 multiplied by 3 is 630). So, it would be "Julie weighs 210a0 pounds, Ted weighs 420 a1 pounds, and Mike weighs 630a2 pounds."
I hope this answer helps!
"Stay Brainly and stay proud!" - Zalgo
Answer:
Julie=35 lbs, Ted= 70 lbs, and Mike=105 lbs
Step-by-step explanation:
Julie=x ted=2x mike=3x
The sum of their weight all together is 210 pounds
Combine the x's
6x=210
Divide both sides by 6 to get 1x (Julies weight)
6x/6 = 210/6
1x= 35 (Julie weighs 35 lbs)
35 x 2= 70 ( Ted weighs 70 lbs)
35 x 3= 105 ( Mike weighs 105 lbs)
- Hope this helps!
Carrie made 127 brownies and packed 13 in each box. How many boxes are
packed and how many brownies are left over?
9 boxes and brownies left over
Answer:
9 boxes are packed and 10 brownies are left over.
Step-by-step explanation:
Carrie made 127 brownies and packed 13 in each box.
The number of boxes packed are; [tex]\frac{127}{13}[/tex] = 9[tex]\frac{10}{13}[/tex]
Which means that 9 boxes were packed and 10 brownies were left over.
In the first term, 5 is a . In the second term, (3y + 13) is a . In the third term, -1 is a .
The complete statements of the expression are
In the first term, 5 is a coefficientIn the second term, (3y+ 13) is a factorIn the third term, -1 is a constantHow to complete the statements in the expression
From the question, we have the following parameters that can be used in our computation:
5x - 8(3y + 13) - 1
Consider an expression
Ax + b
Where x is the variable, we have
A is a coefficientA is a factorb is a constantUsing the above as a guide, we have the following:
In the first term, 5 is a coefficient
In the second term, (3y+ 13) is a factor
In the third term, -1 is a constant
Question
Use the given expression to complete the statements.
5x– 8(3y + 13) – 1
In the first term, 5 is a _____
In the second term, (3y+ 13) is a ______
In the third term, -1 is a ______
The sum of two angles measures is 95 degrees. Angle 2 is 40 degrees smaller than 2 times angle 1. What are the measures of the two angles in degrees?
Answer:
<1 = 45
<2 = 50
Step-by-step explanation:
Let <1 = x
Let <2 = y
=============
x + y = 95
y = 2*x - 40
=============
I think the easiest way to do this is to substitute the second or bottom equation into the top equation. Substitute for y
x + 2x - 40 = 95 Combine like terms on the left.
3x - 40 = 95 Add 40 to both sides.
3x -40+40 = 95+40 Combine
3x = 135 Divide by 3
x = 45
=================
Now use the top equation to solve for y
x + y = 95
45 + y = 95 Subtract 45 from both sides.
45 - 45 + y = 95 -45 Combine
y = 50
Divide in simplest form
Well, you can’t really divide a fraction because it is already a division problem. So we have to do the opposite.
9/4 divided by3/16
Leave the first fraction alone
Change the division sign into a multiplication sign.
Then switch the denominator and numerator of the second fraction, this new fraction is called a reciprocal.
Now multiply the numerators together and the denominators together and simplify.
You get: 144/12
Simplified the answer is : 12
Given x = wavelength and y = frequency, solve for the wavelength for the given type of radiation.
y= 3×10^8 m/s /x
Answer: 1 x 10^27 m
Step-by-step explanation:
which of the following is an arithmetic sequence?
Answer:
B
Step-by-step explanation:
And arithmetic sequence is a sequence in which the difference between each of the numbers are constant.
It is not A, because the difference between 3 and 9 is positive 6, and the difference between 9 and 81 is positive 72.
It is not C, because the difference between 4 and 1 is -3, and the difference between 1 and 4 is positive 3.
It is not D, because the difference between 2 and -2 is -4, and the difference between -2 and 2 is positive 4.
And it is B because the numbers maintain a constant difference between each other, which is -3.
Answer:
B
Step-by-step explanation:
An arithmetic sequence has a common difference (d) between consecutive terms.
The only sequence with a common difference is B
1 = 4 = - 3
- 2 - 1 = - 3
- 5 - (- 2) = - 5 + 2 = - 3
The midpoint M of CD has coordinates (6, 6). Point D has coordinates (10, 4). Find the coordinates of point C.
Write the coordinates as decimals or integers.
Final answer:
To find the coordinates of point C when given the midpoint M and point D, we find the average of the endpoints' coordinates. Solving the equations, we find that the coordinates of point C are (2, 8).
Explanation:
The student is asking to find the coordinates of point C given that the midpoint M of line segment CD is at (6, 6), and point D is at (10, 4). To find point C, we use the concept that the midpoint's coordinates are the average of the coordinates of the endpoints of the segment. That means:
The x-coordinate of C can be found by the equation 6 = (xC + 10) / 2 which leads to xC = 2(6) - 10,
The y-coordinate of C can be found by the equation 6 = (yC + 4) / 2 which leads to yC = 2(6) - 4.
Solving for xC and yC, we find:
xC = 12 - 10 = 2,
yC = 12 - 4 = 8.
Therefore, the coordinates of point C are (2, 8).
Please help me with question 5
Answer:
99x +84 ≤ 1,150
Step-by-step explanation:
Her budget is $1,150, this means that the price of all her purchases cannot exceed it. In other words, the sum of all her purchases must be less or equal to 1,150.
To find how many watches she can buy, you need to multiply it by the price of the watches, which is $99, so it will be 99x.
As for the shirts, she spent $84.
So the inequality equation you will need will be the sum of the price of watches and shirts is less than or equal to 1,150.
99x + 84 ≤ 1,150
Convert the fraction to a mixed number
5/2=a b/2
Answer:
2 1/2
Step-by-step explanation:
5 is 2 more than 2 so the the first part would be 2.
[tex]\dfrac{5}{2}=\dfrac{2\cdot2+1}{2}=2\dfrac{1}{2}[/tex]
A 700 4/7 meter long cloth is cut into equal pieces measuring 1 2/5 meter each how many such small pieces are there?
Step-by-step explanation:
(700 4/7) ÷ (1 2/5)
Write the fractions in improper form:
(4904/7) ÷ (7/5)
To divide by a fraction, multiply by the reciprocal:
(4904/7) × (5/7)
24520/49
500 20/49
There are 500 pieces.
Answer:
(700 4/7) ÷ (1 2/5)
Write the fractions in improper form:
(4904/7) ÷ (7/5)
To divide by a fraction, multiply by the reciprocal:
(4904/7) × (5/7)
24520/49
500 20/49
There are 500 pieces.
Which is 6 3/4 (2/9) simplified?
Answer:
3/2
Step-by-step explanation:
6 3/4 (2/9)
(27/4)(2/9)
4 divided by 2 is 2.
27 divided by 9 is 3.
Answer: 3/2
convert 7.2•10•-3 to standard form
Answer:
0.0072
Step-by-step explanation:
7.2 x [tex]10^{-3}[/tex]
=7.2 x 0.001
=0.0072
Answer:
0.0072
Step-by-step explanation:
The given expression is as follows:
7.2 * 10^(-3)
This expression is in scientific notation, We need to convert it to standard notation for which we will convert the power of 10 to 0.
The power of 10 here is -3. So we will move the decimal point 3 places to the left and get:
= 0.0072 x 10^0
= 0.0072 x 1
= 0.0072
What is the volume of the sphere shown below with a radius of 6
Answer:
[tex]\large\boxed{V=288\pi}[/tex]
Step-by-step explanation:
[tex]\text{The formula of a volume of a sphere:}\\\\V=\dfrac{4}{3}\pi R^3\\\\R-radius\\\\\text{W have the radius}\ R=6.\ \text{Substitute:}\\\\V=\dfrac{4}{3}\pi(6^3)=\dfrac{4}{3}\pi(216)=4\pi(72)=288\pi[/tex]
PLZ HURRY IT'S URGENT!
Jeff is buying an ice-cream sundae. There are 2 sizes of sundaes, 14 different ice-cream flavors, and 4 different toppings.
How many ways can Jeff choose a sundae?
A.
20
B.
56
C.
32
D.
112
Jeff can make his choices independently so there are a total of
[tex] 2 \times 14 \times 4[/tex]
different sundaes.
Answer: D. 112
Answer:
D 112
Step-by-step explanation:
Just multiply the number of different ways to choose things to come up with all your possibilities.
That is you just do 2(14)(4)=28(4)=112
Which expression is equivalent to (2 1/2 * 2 3/2)2 ?
For this case we must find an expression equivalent to:
[tex](2 \frac {1} {2} * 2 \frac {3} {2}) ^ 2[/tex]
So, we have:
[tex]2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {5} {2}\\2 \frac {3} {2} = \frac {2 * 2 + 3} {2} = \frac {7} {2}[/tex]
Rewriting the expression:
[tex](\frac {5} {2} * \frac {7} {2}) ^ 2 =\\(\frac {35} {4}) ^ 2 =\\\frac {35} {4} * \frac {35} {4} =\\\frac {1225} {16} =\\76 \frac {9} {16}[/tex]
Answer:
[tex]76 \frac {9} {16}[/tex]