Answer:
.....................
Step-by-step explanation:
As an economic indicator. The CPI is the most widely used measure of inflation and is sometimes viewed as an indicator of the effectiveness of government economic policy.
Find the reference angle in radians: 7pi over 12
Answer:
5π/12
Step-by-step explanation:
5 pie / 12
(hope this helps can i plz have brainlist :D hehe)
A ship left at the port at 9:00 p.m. and arrived at the next port at 5:00 a.m.
the next day. The distance between the 2 ports was 200 km.
Find the average
speed of the ship.
show solution
Answer:
25km/h
Step-by-step explanation:
It would be helpful to understand the 24 hour clock in this case so you don't get confused by the AM and PM. For reference, 5 AM is technically 17AM, since 5 + 12 = 17.
The ship departed at 9pm, subtract that from 17 and you'll get 8 hours.
17 - 9 = 8
We know that there are 8 hours total, and since the ship traveled 200km, we set up a fraction, which is 8hr/200km. Since we want the average speed, we'll go by km/hr. To do this, we need to set the hrs to 1.
8/x = 1
x = 8
200/8 = 25
Your answer is 25km/hr
What value of x makes the equation –7x + 4 – 3x = –2x – 12 true?
Answer:
x=2
Step-by-step explanation:
To solve this equation combine like terms and move all like terms to the same side. Then, isolate the variable.
First, combine like terms that are on the same side,
-10x+4=-2x-12
Next, move -10x to the other side by adding it to both sides,
4=8x-12
Then, add 12 to both sides as well,
16=8x
Finally, isolate x by dividing the whole equation by 8,
2=x
Answer:
x=2
Step-by-step explanation:
I know the answer is x=2.
First, I set up the equation.
-7x+4-3x=-2x-12
Next, I added like values on each side.
-10x+4=-2x-12
Then, I added 10x to both sides.
4=8x-12
Then, I added 12 to both sides.
16=8x
Next, I divided 8 on both sides.
2=x
To make sure 2 is the true value of x, I inserted 2 to all values of x in the equation. -7(2)+4-3(2)=-2(2)-12. Both sides of the equation are -16. So, 2 is the real value of x in this equation.
Use long division to find the quotient of 1,467 and 58. What is the remainder?
Answer:
1467 divided by 58 equals
25 with a remainder of 17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
Khan academy pls help!
Answer:
The answer is b
Step-by-step explanation:
a clothing store sells t-shirts,t,for $8 a shirt, and shorts,s,for $12 each. the store earned $180 revenue last month.the store sold three times as many t-shirts as shorts. using the method of substitution, how many t-shirts and shorts did did the store sell?
Answer:
Let x be the variable for a t-shirt for $8.
Let y be the variable for shorts for $12.
Let z be the variable for the hats that cost $10 each.
We have the expression 1 below:
$464 = $8x + $12y + $10z
other expressions:
3z = x
2z =y
By substitution we can solve each variable:
464 = 8(3z) + 12(2z) + 10z
464 = 24z +24z +10z
464 = 58z
z = 8
Solve for x andy:
3z=x
3*8 = 24=x
2z=y
2*8 = 16 = y
The t-shirts are 24 pieces, the shorts are 16 pieces and hats are 8 pieces.
Step-by-step explanation:
Question 1
10 pts
The vertices of a triangle are P(4,7), Q(-1,7) and R(4,-5). What is the
perimeter of triangle PQR?
Answer:
30
Step-by-step explanation:
This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).
The attached image shows the points and segments joining them.
PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).
PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.
The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.
[tex](\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2[/tex]
[tex](QR)^2=5^2+12^2=25+144=169\\QR=\sqrt{169}=13[/tex]
The perimeter of the triangle is 5 + 12 + 13 = 30
I need to finish this but im confused :(
Answer:
basically, with each value of x, you replace it by x on the equation
Step-by-step explanation:
y=1/3(12)
y=4
--------
y=1/3(3)
y=1
--------
y=1/3(18)
y=6
-------
hope this helped!
Annette has 1/4 yard of fabric. She cuts it into 3 equal pieces. Each piece of fabric is ____ yard.
Answer:
1/12
Step-by-step explanation:
Simpliy divide 1/4 by 3
(1/4)/3=1/12
Peyton is going to invest $440 and leave it in an account for 5 years. Assuming the
interest is compounded annually, what interest rate, to the nearest tenth of a percent,
would be required in order for Peyton to end up with $520?
Answer:
The required interest rate would be of 3.4% a year.
Step-by-step explanation:
The amount of money earned in compound interest, after t years, is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial investment and r is the interest rate, as a decimal.
Peyton is going to invest $440 and leave it in an account for 5 years.
This means that [tex]P(0) = 440, t = 5[/tex]
So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 440(1+r)^5[/tex]
What interest rate, to the nearest tenth of a percent, would be required in order for Peyton to end up with $520?
This is r for which P(t) = 520. So
[tex]P(t) = 440(1+r)^5[/tex]
[tex](1+r)^5 = \frac{520}{440}[/tex]
[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{\frac{52}{44}}[/tex]
[tex]1 + r = (\frac{52}{44})^{\frac{1}{5}}[/tex]
[tex]1 + r = 1.034[/tex]
Then
[tex]r = 1.034 - 1 = 0.034[/tex]
The required interest rate would be of 3.4% a year.
Miguel is posting photos on a school website. He has 48 photos, and he is allowed to
use 12 pages. He wants to put the same number of photos, p, on each page.
1) Which equation represents the situation?
Answer:
12p=48
Step-by-step explanation:
what is 13 more than 3 times a number is 34 and what is the solution
Answer:
13 + 3x = 34
Variables:
x = random number
Need help on iready you get 13 points :)
Answer:
4 x 10
Step-by-step explanation:
4 x 2 x 5
4 x 2 = 8
8 x 5 = 40
4 x 10 = 40
If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year, how much will it be worth in 2020?
A) $10,562.50
B) $1718.33
C) $6732.90
D) $5385.10
Answer:
D) $5385.10
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the decay of an amount after t years is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year
This means that [tex]A(0) = 12500, r = 0.155[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 12500(1-0.155)^t[/tex]
[tex]A(t) = 12500(0.845)^t[/tex]
How much will it be worth in 2020?
2020 is 2020 - 2015 = 5 years after 2015, so this is A(5). So
[tex]A(5) = 12500(0.845)^5 = 5385.10[/tex]
The correct answer is given by option D.
There are 4 points that form a rectangle. Three of the points are: (-5 -1) (-5 3) (2<3 What are the coordinates of the fourth point?
Answer:
[tex]C = (2,-1)[/tex]
Step-by-step explanation:
Given
[tex]A = (-5,-1)[/tex]
[tex]B = (-5,3)[/tex]
[tex]D = (2,3)[/tex]
Required
The coordinate of the fourth point (C)
The given coordinates indicate the rectangle is vertical/horizontal because it has similar x and y values.
The coordinate of such rectangle can be represented as:
[tex]A = (x_1,y_1)[/tex]
[tex]B = (x_1,y_2)[/tex]
[tex]C = (x_2,y_1)[/tex]
[tex]D = (x_2,y_2)[/tex]
By comparing the general coordinates with the given coordinates, we have:
[tex]x_1 = -5[/tex] --- see A and B
[tex]y_1 = -1[/tex] --- see A and C
[tex]x_2 = 2[/tex] ---- see C and D
[tex]y_2 = 3[/tex] --- see B and D
So, we have:
[tex]C = (x_2,y_1)[/tex]
[tex]C = (2,-1)[/tex]
5.3d = 42.4
pls help
Answer:
Step-by-step explanation:
Divide both sides by 5.3 and you get d = 8. You can use a calculator for this or just do division by hand.
answer and show work and ill give brainliest
9514 1404 393
Answer:
(d)
Step-by-step explanation:
The area of the semicircle is ...
A = (1/2)πr²
A = (1/2)(3.14)(4 m)² = 25.12 m²
The area of the triangle is ...
A = 1/2bh
A = 1/2(12 m)(8 m) = 48 m²
Then the total area of the composite figure is ...
total area = semicircle area + triangle area
= 25.12 m² + 48 m² = 73.12 m²
_____
Additional comment
The areas of choices A-C are too small. Choice A represents the area of the full circle. Choice B represents the area of the triangle only. Choice C is completely irrelevant. Choice D is the sum of the first two choices, inappropriately using the full circle area.
You should talk to your teacher about this question. None of the offered choices is correct.
Answer this ASAP : The company is also having a problem deciding on a torso design for Tinker. Each design has a height of 10 cm. Below are the three choices they have decided on. 3) Each of the torsos is filled with chocolate. One of the managers wants to throw out Design C. He argues that the amount of chocolate needed to fill it is so much more than the other two types that it shouldn't even be a choice. Is he right or wrong? Explain.
Answer:
All three designs will hold he same amount of chocolate (60 cubic centimeters). So, the manager is wrong.
Step-by-step explanation:
Let's find the volume of each design.
For Design A, the cross section is a rectangle rectangle measured 3 cm by 2 cm.
Therefore, the area of the cross section is:
[tex]A_1=3(2)=6\text{ cm}^2[/tex]
Since the height is 10 cm, the total volume of Design A is:
[tex]V_1=10(6)=60\text{ cm}^2[/tex]
For Design B, the cross section is also a rectangle measuring 3 cm by 2 cm.
So, the area of the cross section is:
[tex]A_2=3(2)=6\text{ cm}^2[/tex]
And the height is still 10 cm. So, the total volume of Design B is:
[tex]V_2=6(10)=60\text{ cm}^3[/tex]
Note that we use the vertical height, and not the slant height. If this seems confusing, imagine each layer being a cracker. If 10 crackers were laid on top of each other perfectly, that is Design A. However, if we were to move each cracker to the right a bit, that is Design B. The volume of both cases are the same.
For Design C, the cross section is a triangle with a base length of 6 cm and a height of 2 cm.
So, the area of the cross section is:
[tex]\displaystyle A_3=\frac{1}{2}(2)(6)=6[/tex]
And since the height is 10 cm, the volume of Design C is:
[tex]V_3=6(10)=60\text{ cm}^3[/tex]
Therefore, as we can see, all three designs will hold he same amount of chocolate. So, the manager is wrong.
|x − 5| − |2 − x| + |x + 1| , if x ≥ 5
Answer:
if the X is equal and large than 5 The X would be 5 or the any numbers large than it :)
find the volume of the following square pyramid. geometry hw
Given:
The square base pyramid with height 3 cm and base edge 2 cm.
To find:
The volume of the square pyramid.
Solution:
Volume of a square base pyramid is:
[tex]V=\dfrac{1}{3}Bh[/tex] ...(i)
Where, B is the base area and h is the height of the pyramid.
Base is a square with edge 2 cm, so the base area is:
[tex]B=a\times a[/tex]
Where, a is the edge of the square base.
[tex]B=2\times 2[/tex]
[tex]B=4[/tex]
Putting [tex]B=4,h=3[/tex] in (i), we get
[tex]V=\dfrac{1}{3}(4)(3)[/tex]
[tex]V=4[/tex]
Therefore, the volume of the given pyramid is 4 cm³.
What is the most likely meaning of the word endangered?
influenced
exposed
assisted
threatened
Answer:
exposed is another word for endangered
Oridinary interest method to find the rate of interest that make over photo pays on a loan of $8,000 for 285 days. If the amount of interest is $590.
Answer:
The correct answer is "9.3%".
Step-by-step explanation:
The given values are:
Amount of interest,
= $590
Principle,
= $8,000
Time:
= 285
Let the interest rate will be "x".
Now,
⇒ [tex]Amount \ of \ interest=Principle\times Interest \ rate\times \frac{time}{No. \ of \ days \ in \ year}[/tex]
On substituting the values, we get
⇒ [tex]590=8000\times x\times \frac{285}{360}[/tex]
⇒ [tex]590=6333.33\times x[/tex]
⇒ [tex]x=\frac{590}{6333.33}[/tex]
⇒ [tex]=9.3157 \ percent[/tex]
or,
⇒ [tex]=9.3[/tex]%
I need help with this not a test
Answer:
15$
Step-by-step explanation:
small car is 5 times smaller so we have to multiply the prise of the small car by 5.
What is the answer to 4 x n
Answer:
4n
Step-by-step explanation:
you multiply 4 x n= 4n
:')
A rectangle has an area of 18 square centimeters. Which of the following could be the rectangle's length and width? (Area = equals length × times width)
Answer:
Step-by-step explanation:
any combination that has as result 18
18 x1
9 x2
6x3
Find the lateral area of the cylinder.
Answer:
[tex]A=440\ m^2[/tex]
Step-by-step explanation:
Given that,
The diameter of the cylinder, d = 10 m
Hight, h = 14 m
Radius, r = d/2 = 5 m
We need to find the lateral area of the cylinder. The formula for the lateral area of the cylinder is given by :
[tex]A=2\pi rh\\\\A=2\times \dfrac{22}{7} \times 5\times 14\\A=440\ m^2[/tex]
So, the lateral surface area of the cylinder is equal to [tex]440\ m^2[/tex].
Substituting the equation x = 4y – 12 into the equation -2y = x – 6 will produce the equation _________.
Which is equal to the cos ÐR?
PLEASE HELP ME
Answer: 4/5 = .8
cos adj/hyp of r is .8
HOWEVER...
I’m assuming it’s talking about angle R...
Vx
What is the percent decrease when the balance in a bank account goes from $300 to $60?
O The percent decrease is 20%.
O The percent decrease is 25%.
O The percent decrease is 80%.
O The percent decrease is 87%
Answer:
C. 80%
Step-by-step explanation:
|y-x|, if y>x PLZ HELP
Answer:
56tt8989899999999×-×554545--455356788:988