Answer:
38/45
Step-by-step explanation:
Answer:
38/45
Step-by-step explanation:
Hope it helps
The sum of 2 numbers is 8 and their difference is 2
what are the 2 numbers?
Answer:
a=5
b=3
Step-by-step explanation:
a+b=8
a-b=2
2a=10
a=5
b=3
Answer:
5 and 3
Step-by-step explanation:
Sum is addition
Difference is subtraction
5 + 3 = 8 which means the sum of these 2 numbers is 8
5 - 3 = 2 which means the difference of these 2 numbers is 2
What is the solution to the system of equations below?
y = one-half x + 6 and y = negative three-fourths x minus 4
(–8, 2)
(–8, –1)
(8, 10)
(8, –10)
Answer:
(-8, 2)
Step-by-step explanation:
1. Set up the equations.
y = 1/2x + 6
y = -3/4x - 4
2. Set the equations to equal each other.
1/2x + 6 = -3/4x - 4
3. Move the variables to one side and the numbers to the opposite side.
6 + 4 = -3/4x - 1/2x
10 = -3/4x - 2/4x
10 = -5/4x
4. Divide 10 by -5/4.
10/ -5/4 = 10 * -4/5 (when dividing fractions, flip the fraction over)
10 * -4/5 = -40/5 = -8
x = -8
5. Plug in the x-value into one of the equations.
y = 1/2x + 6
y = 1/2(-8) + 6
y = -4 + 6
y = 2
OR
y = -3/4x - 4
y = -3/4(-8) - 4
y = 6 - 4
y = 2
Find the value of x. Assume that lines which appear to be tangent to the circle are tangent. A) 1 B) 3 C) 4 D) 6
Answer: D
Step-by-step explanation:
A boat is 122 meters from the base of a lighthouse. The lighthouse is 34 meters tall. The angle formed with the lighthouse and sea level is 90 degrees.
A boat is 122 meters from the base of a lighthouse that is 34 meters above sea level. What is the angle of elevation from the boat to the top of the lighthouse? Round to the nearest degree.
°
Answer:
about 16°
Step-by-step explanation:
Make sure your calculator is in degree mode.
Drawing the right triangle, we see that the shorter leg is 34 meters, and the longer leg is 122 meters. So the angle of elevation is:
[tex] \tan( \alpha ) = \frac{34}{122} [/tex]
[tex] \alpha = { \tan }^{ - 1} \frac{34}{122} = 15.57[/tex]
Answer: 16
Step-by-step explanation:
got it right on edge :)
1. Suppose an online retailer has determined that if a potential customer spends more than 5 minutes on their site, that the probability of them making a purchase is 0.40. If 12 customers who spent more than 5 minutes on the site were randomly selected, what is the probability that more than 7 will make a purchase
Using the binomial distribution, it is found that there is a 0.056 = 5.6% probability that more than 7 will make a purchase.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
There are 12 customers, hence n = 12.The probability of any of them making a purchase is of p = 0.4.The probability that more than 7 will make a purchase is given by:
P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12).
Hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{12,8}.(0.4)^{8}.(0.6)^{4} = 0.042[/tex]
[tex]P(X = 9) = C_{12,9}.(0.4)^{9}.(0.6)^{3} = 0.012[/tex]
[tex]P(X = 10) = C_{12,10}.(0.4)^{10}.(0.6)^{2} = 0.02[/tex]
[tex]P(X = 11) = C_{12,11}.(0.4)^{11}.(0.6)^{1} \approx 0[/tex]
[tex]P(X = 12) = C_{12,12}.(0.4)^{12}.(0.6)^{0} \approx 0[/tex]
Then:
P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.042 + 0.012 + 0.02 + 0 + 0 = 0.056.
0.056 = 5.6% probability that more than 7 will make a purchase.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
if emily eats 18 cookies, which represents 30% of the bag, how many cookies are in the bag
Answer:60
Step-by-step explanation:
18 x 100= 1800. 1800/30= 60. 60 x %30= 18
The number of cookies in the bag is A = 60
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Now , 30 % of the cookies in the bag = 18 cookies
On simplifying the equation , we get
( 30 / 100 )A = 18
Multiply by 100 on both sides , we get
30A = 1800
Divide by 30 on both sides , we get
A = 1800/30
A = 60 cookies
Hence , the number of cookies is 60
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Which number has an absolute value
greater than |-3|? Select all that apply.
b.|-5|
c. |9|
d. |1|
e. |7|
f. l-1|
Answer:
The number with an absolute value (distance away from zero on a number line) that is greater than 5 will be: A. -6.
Absolute value of any number is simply the distance of that number from point zero (0) on a number line.
Thus,
-6 is 6 units from 0.
6 is also 6 units away from 0.
-5 is 5 units from 0.
5 is also 5 units from 0.
The absolute value of -5 is 5.
The absolute value of -6 is 6.
Therefore, the number with an absolute value (distance away from zero on a number line) that is greater than 5 will be: A. -6.
Learn more here:
brainly.com/question/17297316
Step-by-step explanation:
Find the total surface area of this triangular prism.
25 cm
24 cm
10 cm
14 cm
Answer:
Step-by-step explanation:
[tex]\boxed{\text{Area of triangular prism = length*(a+b+c) + 2*base area}}[/tex]
Here a, b,c are the sides of the triangle.
a = 14 cm ; b = c = 25 cm and length = 10 cm
[tex]\boxed{\text{Base area=2*$\dfrac{1}{2}*base*height$=base *height}}[/tex]
base = a = 14 cm & h = 24 cm
Base area = 14*24
= 336 cm²
Total surface area = 10*(14+25+25) + 336
= 10*64 + 336
= 640 + 336
= 976 cm²
find the volume of the prism
Will give brainliest!! Can someone explain how to do this please? (Grade 10 math)
Answer:
The slop is +9, so add 9 each time
Step-by-step explanation:
Determine which function has the greatest rate of change as x approaches infinity. f(x) = 4x 50 g(x) = 3x − 4 h(x) = 2x2 9x − 4 there is not enough information to determine the answer.
The slope of the h(x) is 4x as the value of x increases the slope of h(x) will approach to the infinity.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The functions are given below.
[tex]\rm f(x) = 4x+ 50\\\\ g(x) = 3x - 4 \\\\h(x) = 2x^2+ 9x- 4[/tex]
The slope of the f(x) and g(x) will be 4 and 3 respectively.
And the slope of the h(x) is 4x as the value of x increases the slope of h(x) will approach to the infinity.
The graph is shown below.
More about the slope link is given below.
https://brainly.com/question/3605446
Maria is making a candle in the shape of a cylinder. she wants the candle to have a height of 3 cm and a radius of 2 cm. how much wax does maria need? 12pi cm3 12pi cm2 18pi cm3 20pi cm2
The amount of wax that Maria will need to fill up the cylinder in this scenario is 12pi cm3 which is denoted as option A.
What is a Cylinder?This is defined as a a three-dimensional solid that holds two parallel bases joined by a curved surface usually at a fixed point and the volume is πr²h where r is radius and h is height.
Volume = πr²h
= π × 2² × 3
= 12π cm³
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Answer:
its A
Step-by-step explanation:
Assuming that the availability of cherries and the availability of asparagus are independent of each other, which market should Elena choose to maximize her chance of buying both?
Answer:
north market, .44
Step-by-step explanation:
Given that 2x + 1 : x + 2 = x+8 : 3x-4
Find the possible values of x.
Answer:
First we have to same the bases.
As we know 8=2^3.
Replace 8 with 2^3.
Like this .
2^3x=2^3(2x+1).
Now 3x=3(2x+1) distribute 3 by the Barker.
3x=6x+3.
6x+3=3x.
6x-3x=-3.
3x=-3.
X=-1.
Step-by-step explanation:
It is Given that 2x + 1 : x + 2 = x+8 : 3x-4 therefore, the possible value of x is -1.
How to find the system of equations needed to solve an equation?An equation usually consists of equality of two mathematical expressions. Let it be
A = B
. If we take them to be equal to third variable, then:
A = B = C
type of equation is obtained.
We can then take it as a system of two equations as:
A = C\\ B=C
The solution to this system will give us the solution to the considered equation.
The solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.
Given that 2x + 1 : x + 2 = x+8 : 3x-4
First we have to same the bases.
As we know [tex]8=2^3.[/tex]
[tex]2^{3x}=2^{3(2x+1)}.[/tex]
Now 3x=3(2x+1) distribute 3 by the Barker.
[tex]3x=6x+3.\\6x+3=3x.\\6x-3x=-3.\\3x=-3.\\x=-1.[/tex]
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A 9-foot roll of wrapping paper costs $6.03. What is the price per yard?
~Denki Kaminari here~
so what we're going to do is, find the cost of wrapping paper per foot,
6.03 divided by 9 = 0.67
now we're going to convert the 9ft into yards,
1 yard= 3ft so, there are 3 yards.
now that we know that there are 3 ft in one yard, we are going to multiply 0.67 by 3
0.67x3= 2.01
so, we got $2.01 per yard
hope this helps :D
I need help with this and how to solve it
6.
Viola drives 170 m up a hill that makes an angle of 6° with the horizontal. Rounded to the nearest tenth of a meter, what horizontal distance has she covered?
169.1 m
17.8 m
1,617.4 m
171.5 m
Answer:
(a) 169.1 m
Step-by-step explanation:
The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...
169.1 m
__
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...
cos(6°) = x/(170 m)
x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m
The horizontal distance covered is about 169.1 meters.
_____
Additional comment
Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.
Sam confirmed there will be 192 guests at his party. He thinks each guest will eat
about .25 lb of hamburger, so he decides to order .25 x 200 = 50 lb
What did he use to determine the amount to order?
Answer:
Sam used estimation. He rounded the amount of guests (192) to the nearest hundred (200).
Name a diameter.
8
G
E
A
FG
С
CE
B.
AB
D
BO
Answer:
FG
Step-by-step explanation:
Hello!
A diameter is a line segment that goes through the center of a circle and touches two points on the perimeter of the circle.
Here, we see two lines that touch two points of the circle (AB and FG) but only one segment, FG, goes through the center, given by the point O.
Hence, it is Option A: FG
plss help me quickly tyyy
either question 5 or six cus I need the explanation:)))
Find FM using Pythagoras Theorem:
We're not after c^2 using pythag - rearrange it:
It don't matter were the B or A is in the equation - it'll give u the missing length you're after.
c^2 - b^2 = a^2
8^2 - 5^2 = a^2
Square root both sides to get A on its own
A= root 8^2 - 5^2
= root 39
= 6.24499....
Or
6.24cm, but FM is root 39 I'll use throughout, even if I use 6.24 in calculations, it's to make things clearer for you.
Create diagonal line from B to E - drawing right-angle triangle A to B to E back to A.
AB is 16cm
AE is 8cm - given above
(because the triangle at the front & back are the same.)
Use Pythagoras Theorem for length BE:
a^2 + b^2 = c^2
16^2 + 8^2 = c^2
Square root
C = root 16^2 + 8^2
= 8 root 5
= 17.8885...
8 Square root 5 - I'll use for BE
Creat another triangle to find the angel -
B to E to (M between the length AD)
However, diagonal line B to M needed.
So, m is the mid-point of the base triangle, pretend to slice it in half from point M - this creates a mini rectangle. (ABM to MA - with M on side AD)
Now use this to find B to M:
(if MC is 5cm, BM is 5cm - on length BC)
C = root 16^2 + 5^2
= root 281
= 16.76305...
= 16.76
Create right-angle triangle:
Be to M back to B
BE= 8 root 5
EM = root 39
MB = root 281
So, the angle will be from EB to M.
EB is the hypotenuse
BM is the adjacent
AH means Cah, but the inverse
Cos-1(a/h)
Cos-1(root 281 / 8 root5) = 20.4326...
Thus, angle we're after is 20.43 degrees to 2.dp
(The easiest way for me to explain - it took a while)
Hope this helps!
please help its late and I need to finish this. there are more if you can solve this
Answer:
Plow - is used for tilling largefurrows and inter row cultivation. WhTractor - Used to pull disc plow and disc harrow in preparing much bigger area of land Down is used for cleaning the ground and leveling the topsoil Barrow - is used for hauling trash, manures, fertilizers, plant
Find the measure of arc FD
Answer: 49 degrees
Step-by-step explanation:
Can someone please help me!
#BRAINLIEST
1- Ferald follows school rules
2- Lex and Jaye are gems
3- Jay loves adbobo and beef stew
4- Jake's best friend is his dog
5- Kim has self-discipline
Solve the inequality. | 7x + 5 | > 0
Answer:
x
=−
7
5
Step-by-step explanation:
What do we multiply 24 by to get a 100
Answer:
you cant do that, you can only get to 96 by multiplying 24 by 4, ill keep trying tho if you really need this
Step-by-step explanation:
Ben bowled 160 and 191 in his first two games. What must he bowl in his third game to have an average of at least 190?
Regular price $174 discount
40% find the sale price round to the nearest cent if necessary
Answer:
69.6 70 to the nearest cent
Step-by-step explanation:
I don't know how to explain
Amana walks along oak from point a to b. to the nearest foot, how far does she walk? 75 ft 226 ft 307 ft 347 ft
Answer:
266
Step-by-step explanation:
Answer:226
Step-by-step explanation:
Two major cities each have a population of
25,000 people. The population of City A
increases by about 150 people per year. The
population of City B increases by about 0.5%
per year.
Insert table from SPREADSHEET here, showing the first 5 years of population growth for both
cities.
Will City B ever have a larger population than City A? If so, what year will this occur?
Answer:
...insert the DESMOS graph that supports your answer here...
The ratio of the number of pineapples for a chocolate fondue dessert to people served is 1 to 5. If Deb wants to serve 80 people, how many pineapples will Deb use?
Answer:
16:80
Step-by-step explanation:
80 people * ( 1 pineapple / 5 people) = 16