Answer: 3x+6
Step-by-step explanation:
Work out the circumference of this circle with radius 7.5cm
Take pi to be 3.142
Answer:
15pi cm or 47.12
Step-by-step explanation:
Radius= 7.5cm
7.5 x 2 = 15
diameter= 15cm
circumference = pi x diameter
circumference= pi x 15
=15pi cm or 47.12
Robert mixed 113 liters of blue paint with 123 liters of red paint to make 3 liters of purple paint. To make a new batch of purple paint he used 2 liters of red paint. Using the same ratio, Robert should use Response area liters of blue paint .
Answer:
[tex]Blue =1\frac{3}{5}[/tex]
Step-by-step explanation:
Given
[tex]Blue = 1\frac{1}{3}[/tex]
[tex]Red = 1\frac{2}{3}[/tex]
Required
Determine the amount of blue paint when Red = 2
To do this, we make use of the following equivalent ratios
[tex]Ratio = Blue : Red[/tex]
When [tex]Blue = 1\frac{1}{3}[/tex] and [tex]Red = 1\frac{2}{3}[/tex]
[tex]Ratio = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
When Red = 2
[tex]Ratio = Blue : 2[/tex]
Equate both ratios
[tex]Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
Convert to division
[tex]\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}[/tex]
Convert fractions to improper fraction
[tex]\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{5}[/tex]
Make Blue the subject
[tex]Blue =\frac{4}{5}*2[/tex]
[tex]Blue =\frac{8}{5}[/tex]
[tex]Blue =1\frac{3}{5}[/tex]
Find the X and Y intercept of line 2x+3y=-12
X-intercept -
Y- Intercept-
Answer:
Let us rearrange 3y=-2x-12y=-2/3x-4 So y intercept is -4 I also do exams and quizzes if your interested :)15 points!!! Help!! Find x. Round to the nearest tenth
Answer:
So let the hypotenuse be
x
:
sin
(
47
°
)
=
opposite side
x
sin
(
47
°
)
=
12
x
To solve for
x
, divide
sin
(
47
°
)
by
12
:
x
=
12
sin
(
47
°
)
x
≈
16
Step-by-step explanation:
Answer: 16
Reason: bc it just is
A prize was awarded to 24 women and 1010 men.
a. What fraction of the prize winners were women?
b. What fraction were men?
Answer:
[tex]W = \frac{12}{17}[/tex] -- Women
[tex]M = \frac{5}{17}[/tex] --- Men
Step-by-step explanation:
Given
[tex]Men = 10[/tex] --- not 1010
[tex]Women = 24[/tex]
Solving (a) Fraction of Women
This is calculated as:
[tex]W = \frac{Women}{Men + Women}[/tex]
Substitute values for Women and Men
[tex]W = \frac{24}{10+24}[/tex]
[tex]W = \frac{24}{34}[/tex]
Simplify fraction
[tex]W = \frac{12}{17}[/tex]
Solving (b) Fraction of Men
This is calculated as:
[tex]M = \frac{Men}{Men + Women}[/tex]
Substitute values for Women and Men
[tex]M = \frac{10}{10+24}[/tex]
[tex]M = \frac{10}{34}[/tex]
Simplify fraction
[tex]M = \frac{5}{17}[/tex]
What is an equivalent expression for 3(x-12)? *
O
3x-12
3x+12
O
3x-36
3x+36
Answer:
3x-36 is equivalent to 3(x-12)
Hey can someone please help me
The vertex is located at (h,k)
The two roots p and q can be defined as such
p = h-rq = h+rwhere r is the horizontal distance between the vertex and either root. We use the same r value for each equation because of symmetry. The diagram below shows what I mean.
Let's add up those two equations to get
p+q = 2h
The left hand sides p and q add to p+q. The right hand sides add to (h-r)+(h+r) = 2h. Note the r's cancel.
From here, we divide both sides by 2 and we end up with
h = (p+q)/2
In short, if we know the roots p and q, then we find the x coordinate of the vertex (h) to be the average of those roots. You add up the roots and then divide by 2.
After you figure out the value of h, finding the value of k will have us plug in this h value into the quadratic equation and simplifying.
------------------------
Example:
Let's say we have the quadratic y = x^2 - 8x + 12. This factors to (x-2)(x-6)
Solving (x-2)(x-6) = 0 shows that x-2 = 0 becomes x = 2 and x-6=0 becomes x = 6.
So the roots here are p = 2 and q = 6. The order of the roots doesn't matter.
Averaging these roots gives us
h = (p+q)/2
h = (2+6)/2
h = 8/2
h = 4
The x coordinate of the vertex is x = 4.
Plug this back into the original equation to find...
y = x^2 - 8x + 12
y = (4)^2 - 8(4) + 12
y = 16 - 32 + 12
y = -16 + 12
y = -4
Or you could say
y = x^2 - 8x + 12
y = (x-2)(x-6)
y = (4-2)*(4-6)
y = (2)*(-2)
y = -4
Either way, we find that k = -4 is the y coordinate of the vertex
The vertex for this example is located at (h,k) = (4, -4)
Refer to the diagram below.
What is the volume of the rectangular prism?
Answer:
15 0/0
Step-by-step explanation:
15 cubes on each side which totals to 30 cubes. To get the volume 15 cm multiply 30 x 1/2 = 15 the amount of volume
Answer:
15[tex]cm^{3}[/tex]
Step-by-step explanation:
ok...each of those boxes are 1/2 cm
What is the easiest thing to do is to count the front of the rectangular prism and there are 15 cubes. Now double it, and you get 30 cubes, now since each cube is 1/2 or 0.5, we get can do 0.5 x 30 and we get 15
Hope this helped!
Have a supercalifragilisticexpialidocious day!
HELP ME I NEED THE ANSWER TO THIS!!
Answer:
I think it is D
Step-by-step explanation:
state whether the two triangles are similar, and if so, by which theorem? justify your answer
Answer:
it's a congruent triangle and the scale factor is 2
Step-by-step explanation:
i don't know what you mean by theorems if you mean circle theorems well that obviously is not a circle so it's not one.
Would the hypotenuse of a right triangle with a vertical length of 6 and a horizontal length of 10 have the same slope as the hypotenuse of the blue and red
triangles shown in the graph?
What is the minimum depth of the water in the pool?
1 foot
2 feet
3 feet
4 feet
Answer:
1 foot
Step-by-step explanation:
The minimum value is the lowest y-value on the graph. The graph shows that at 6 hours there is only 1 foot of water in the pool. In this case, the y-values never go below 1, this must mean that 1 is the minimum.
0.12 divided by 5.676
Answer:
47.3
Step-by-step explanation:
Line m is intersected by line t , as shown in the diagram below. Based on the diagram, which of the following equations must be true? A m∠1+m∠2=180°
B m∠1+m∠3=180°
C m∠2+m∠3=90°
D m∠2+m∠4=90°
the answer is quite simple on this one. angles 1 and 3 are equal, and angles 2 and 4 are equal.
if you thi k about moving line t then you can see 2 and 4 will not add to 90°. angles 2 and 3 do not add to 90° because their angles added make a straight line (180°). answer B is almost true but not quite since the angles are not perpendicular to each other (1 and 3).
therefore, answer is A because of said explanation about answer B in previous paragraph. they make a straight line (180°). just basic geometry.
sophie uses 18 beads to make a neckalace , 3/6 of the beads are purple
Answer:
9 beads are purple
Step-by-step explanation:
we know that
To find out how many beads are purple, multiply the total beads by the fraction of the beads that are purple
so
therefore
9 beads are purple
Another way to solve the problem is convert the fraction in percentage
we have
so
If the total are 18 beads
50% is 9 beads
therefore
9 beads are purple
Jackson bought snacks for his team's practice. He bought a bag of oranges for $1.61 and a 6-pack of juice bottles. The total cost before tax was $13.19. How much was each bottle of juice?
Answer:
$1.93
Step-by-step explanation:
From the total (13.19), subtract the cost of the oranges (1.61). That would equal 11.58, which is the cost of the 6-pack of juice bottles. Then, divide 11.58 by 6 to determine the cost of each bottle.
Each bottle = $1.93
Hope this helps!!
A group of people went to a restaurant.
Each person chose one starter and one main course.
starter
main course
soup
lasagne
prawns
curry
the number of people who chose soup: the number of people who chose prawns = 2:3
Of those who chose soup,
the number of people who chose lasagne : the number of people who chose curry = 5:3
Of those who chose prawns,
the number of people who chose lasagne : the number of people who chose curry = 1:5
What fraction of the people chose curry?
Answer:
The fraction of the people who choose curry = [tex]\frac{13}{4}[/tex]
Step-by-step explanation:
As given,
Starter Main course
Soup Lasagna
Prawns Curry
The number of people who choose soup: the number of people who choose prawns = 2 : 3
Of those who chose soup,
The number of people who choose Lasagna : the number of people who chose curry = 5 : 3
Of those who chose prawns,
The number of people who chose Lasagna : the number of people who chose curry = 1 : 5
Let total number of people goes to restaurant = 5x
People who choose soup = [tex]\frac{2}{5}[/tex]×5x = 2x
People who choose prawns = [tex]\frac{3}{5}[/tex]×5x = 3x
Now, given,
Of those who choose soup,
The number of people who choose Lasagna : the number of people who chose curry = 5 : 3
So,
People who choose Lasagna after choosing soup = [tex]\frac{5}{8}[/tex]×2x = [tex]\frac{5}{4}x[/tex]
People who choose Curry after choosing soup = [tex]\frac{3}{8}[/tex]×2x = [tex]\frac{3}{4}x[/tex]
Also, given,
Of those who chose prawns,
The number of people who chose Lasagna : the number of people who chose curry = 1 : 5
So,
People who choose Lasagna after choosing prawns = [tex]\frac{1}{6}[/tex]×3x = [tex]\frac{1}{2}x[/tex]
People who choose Curry after choosing prawns = [tex]\frac{5}{6}[/tex]×3x = [tex]\frac{5}{2}x[/tex]
So,
Total number of people who choose curry = [tex]\frac{3}{4}x[/tex] + [tex]\frac{5}{2}x[/tex] = [tex]x ( \frac{3}{4} + \frac{5}{2} ) = x (\frac{3 + 10}{4} ) = x ( \frac{13}{4} ) = \frac{13}{4}x[/tex]
So ,
The fraction of the people who choose curry = [tex]\frac{Total number of people who choose curry}{Total number of people who go to restaurant} = \frac{\frac{13}{4} x}{x} = \frac{13}{4}[/tex]
Brody invested $2,800 in an account paying an interest rate of 2.7% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest year, for the value of the account to reach $3,560?
answer-
t≈9
step-by-step: i skipped the question and got the right answer
The amount will become $3560 after the tenure of 9 years.
What is compound interest?Compound interest is the interest on savings computed on both the initial principal and the interest earned over time. In theory, continuously compounded interest means that an account balance is constantly earning interest and refeeding that interest back into the balance so that it, too, earns interest.
Given that Brody invested $2,800 in an account paying an interest rate of 2.7% compounded continuously.
The time period will be calculated as,
[tex]P(t) = P_oe^{rt}\\\\3560 = 2800e^{0.027\times t}[/tex]
Take log on both sides and solve,
ln(3560 / 2800) = 0.027x t(ln(e)
t = ln(1.27) / 0.027
t = 9 years
Therefore, the amount will become $3560 after the tenure of 9 years.
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I need to know what are the six trigonometric functions of angle theta
Answer:
Sine, cosine, tangent, cosecant, secant and cotangent.
The length of a rectangle is 2ft longer than its width.
If the perimeter of the rectangle is 40ft , find its area.
Solve for w. -2 > W - 12
Answer:
10 > w
Step-by-step explanation:
-2 > w-12
Add 12 to both sides of the equation in order to isolate w
-2+12 > w-12+12This will cancel out 12 on the right side of the inequality as well as give the value of w on the left side of the inequality.
10 > wChange 8.94 into a fraction
Answer:
447 / 50
Step-by-step explanation:
447 / 50 Because if you divide it you will get 8.94 same answer
Answer:
inproper fraction would be 447/50 but the proper fraction would be 8 47/50
Select the algebraic expression for the word expression.
24 less than h
24 - h
24 - h
h - 24
h - 24
24 ÷ h
24 ÷ h
h
Step-by-step explanation:
The Answer Is 24 - h
As, 24 Is Less Than "h"
6700 dollars is placed in an account with an annual interest rate of 8%. How much will be in the account after 24 years, to the nearest cent
Answer:
Step-by-step explanation:
The answer depends on whether the interest is simple or compound.
For simple interest:
A = 670(1 + 0.08)(24)
For compound interest
A = 670(1 + 0.08)24
Answer:
???????
Step-by-step explanation:
Determine the greatest common factor of the given expressions.
75m^4p^6(-m + n)
65m^4 n^5(-m + n)^5
Answer:
75m^4 p^6
Step-by-step explanation:
Determine the value of x in the figure
A) x = 8
B) x = -4
C) x = 4
D) x = 4/3
Answer:
Step-by-step explanation:
X=8
What is the distance between (4, 3) and (9, 15) on the coordinate plane? Select two that apply.
V169 units
V144 units
5 units
13 units
12 units
Answer:
169 units
13 units
The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.
What is the distance between two points?Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The coordinate of the points is given below.
(4, 3) and (9, 15)
Then the distance between the two points (4, 3) and (9, 15) will be given as,
D² = (9 - 4)² + (15 - 3)²
D² = 5² + 12²
D² = 25 + 144
D² = 169
D = 13 units
The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.
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You have 4.5 pounds of egg whites. You need 8 oz to make one serving of consomme. How many can you
Question 4 Not Yet Answered Points Out Of 1.00 You Have 4.5 Pounds Of Egg Whites. You Need 8 Oz To Make One Serving Of Consomme. How Many Servings Can You Make? Answer: Swer
swer
"What is the difference between a ratio and its related rate and unit rate?"
Answer:
Step-by-step explanation:
The ratio is the relationship of two numbers. ... A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.
The difference between ratio and unit rate is that both of them are measures of two units and are written in the form of a numerator and a denominator but the unit rate denominator must be one.
What is a ratio?It shows how many times one value is contained in another value.
The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Ratio and unit rate
Ratio and unit rate both are written in the form of a numerator and a denominator.
The ratio is a measure of two units contained in a whole amount.
Example: 3 apples and 3 mangoes are contained in a bag
The ratio of apple and mango is 3:3 = 1:1
The unit rate is also a measure between two units but the denominator should always be one.
Example: A man can run 10 miles in 10 hours
In one hour 1 mile.
The unit ratio is 10miles per hour.
Thus,
The difference between ratio and unit rate is that both of them are measures of two units and are written in the form of a numerator and a denominator but the unit rate denominator must be one.
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Andre says that x is 7 because he can move the two 1s with the x to the other side.
Do you agree with Andre?
The image necessary to answer this question is below in the attachment.
Answer: No.
Step-by-step explanation: For this hanger to be in equilibrium, both sides have to equal.
The diagram can be represented as
x + 1 + 1 = 1 + 1 + 1 + 1 + 1
x + 2 = 5
x = 3
So, for this hanger to work, x = 3.