Answer:
BB
Hope that helps!
Line segment JM has endpoints with coordinates -2 and 14 on a number line. Points K and L are on segment JM. K has a coordinate of 2 and point L has a coordinate of 8. Find the probability that a point on JM is placed first on JL and a second point is not placed on KL.
5/8
25/64
15/64
8/15
Answer:
25/64Step-by-step explanation:
consider the events F and S :
F : «the first point is placed on JL»
S : «the second point is not placed on KL»
F∩S : «a point on JM is placed first on JL and a second point is not placed on KL»
[tex]p\left( F\right) =\frac{JL}{JM} =\frac{10}{16} =\frac{5}{8}[/tex]
[tex]p\left( \overline{S} \right) =\frac{KL}{JM} =\frac{6}{16} =\frac{3}{8}[/tex]
[tex]\Longrightarrow p\left( S\right) =1-p\left( \overline{S} \right) =1-\frac{3}{8} =\frac{5}{8}[/tex]
[tex]p\left( F\cap S\right) =p\left( F\right) \times p\left( S\right) =\frac{5}{8} \times \frac{5}{8} =\frac{25}{64}[/tex]
A moving company is hired to take 578 clay pots to a florist shop. The florist will pay the moving company a $200 fee, plus $4 for every pot that is delivered safely. The moving company must pay the florist $5 each for any pots that are lost or broken. If 6 pots are lost, 12 pots are broken, and the rest are delivered safely, how much should the moving company be paid?
Answer:
$596
Step-by-step explanation:
So, firstly, let's take all the essential info and put it in bullet points:
$200 moving fee$4 for every pot delivered safley$5 each per pot that is lost/brokenNext, what do we know about what's happened to the pots?
6 pots are lost12 pots are broken578 pots are supposed to be deliveredNow, we know that there is a moving fee that we will definitely have to pay, no matter what. Let's add that to the side-
200
Now we need to cover broken/lost pots. We can add up 6+12, because it is the exact cost for lost and broken pots. 6+12=18, and now we have to multiply that by 5. 18*5=90.
So, we can subtract that from the total payment.
200-18=182
Lastly, we need to add the total price for all the adequately delivered pots that arrived safely. There are 578 pots, and because 18 were damaged, we need to add that to 578:
578+18=596
So, the total amount you would be paying is $596.
The distance between points (3, 7) and (x₁, y ) is the square root of (x₁ - 3)² + (y₁ - 7)².
true or false
Based on the distance formula, the distance between points (3, 7) and (x1, y) is: [tex]\sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}[/tex]. SO, it is TRUE.
What is the Distance Formula?The distance formula which can be applied to find the distance between two coordinate points is: [tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex].
Given the points:
(x1, y1)
(3, 7) = (x2, y2)
Substitute
[tex]d = \sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}[/tex]
Therefore, the statement that says the distance between points (3, 7) and (x1, y) = [tex]\sqrt{(x_1 - 3)^2 + (y_1 - 7)^2}[/tex], is TRUE.
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10 + 5/12c = 20 (deltamath.com Two Step Equations with Fractional Coefficients (L1)
3. Siti and Mary shared $35 in the ratio 4:3.
How much money did Siti receive?
Answer:
$20
Step-by-step explanation:
First we will change the ratio so that we are finding how much money Siti receives to the total amount of money.
[tex]4:3 \rightarrow 4:(3+4)=4:7[/tex]
Now we can solve for how much money Siti receives using a proportion.
[tex]\frac{4}{7} = \frac{\mbox{money Siti receives}}{35}[/tex]
We can see that the denominator increases 5 times, so the numerator must increase 5 times too. This means Siti receives $20.
there are 20 students 15 men and 5 women in a maths class,in how many different ways can a committee of 3 men and 2 women be choosen
[tex]\displaystyle\\\binom{15}{3}\cdot\binom{5}{2}=\dfrac{15!}{3!12!}\cdot\dfrac{5!}{2!3!}=\dfrac{13\cdot14\cdot15}{2\cdot3}\cdot\dfrac{4\cdot5}{2}=13\cdot7\cdot5\cdot2\cdot5=4550[/tex]
An angle measures 16° more than the measure of its supplementary angle. What is the measure of each angle?
Solve the equation for x.
√x+5 -1 = 2
Answer:
Step-by-step explanation:
Equation
√(x + 5) - 1 = 2 I take it that you want the 5 to be with the x.
Solution
√(x + 5) - 1 = 2 Add 1 to both sides
√(x + 5) - 1 +1 = 2 + 1 Combine
√(x + 5) = 3 Square both sides
√(x + 5)² = 3² Combine
x + 5 = 9 Subtract 5 from both sides
x + 5- 5 = 9- 5
x = 4
Answer x = 4
pls help, thank you!!
Answer: 1, 3
For a cubic polynomial, there are either 3 real roots or 1 real root nad 2 complex roots in a conjugate pair.
i will mark as brainiest
If two triangles are similar, then their side lengths are proportional.
RS / JK = RT / JL
5 / x = 4 / 7
4x = 35
x = 35/4 = 8.75
RT / JL = TS / LK
4 / 7 = 6 / (y + 2)
42 = 4(y + 2)
42 = 4y + 4
4y = 38
y = 38/4 = 9.5
LK = 9.5 + 2 = 11.5 cm
JK = x = 8.75
Hope this helps!
1/2 inch represents a distance of 1/8 mile.her house is two miles away from school
Answer:
1/6
Step-by-step explanation:
the answer is 1/6th use subtraction
Express the statement as an inequality.
(a) x is negative.
x ≥ 0
x > 0
x < 0
x = 0
x ≤ 0
(b) y is nonnegative.
y < 0
y ≥ 0
y = 0
y ≤ 0
y > 0
(c) q is less than or equal to .
q <
q ≤
q >
q =
q ≥
(d) d is between 2 and 1.
1 ≤ d ≤ 2
d < 1 < 2
2 ≥ d ≥ 1
1 < d < 2
1 < 2 < d
(e) t is not less than 5.
t ≥ 5
t > 5
t = 5
t < 5
t ≤ 5
(f) The negative of z is not greater than 3.
z ≤ −3
−z ≤ 3
z < 3
−z < 3
z ≤ 3
(g) The quotient of p and q is at most 6.
p/q < 6
p/q = 6
p/q > 6
p/q ≤ 6
p/q ≥ 6
(h) The reciprocal of w is at least 9.
1/w < 9
1/w ≥ 9
1/w ≤ 9
1/w > 9
1/w = 9
(i) The absolute value of x is greater than 6.
|x| ≥ 6
|x| ≤ 6
|x| = 6
|x| > 6
|x| < 6
The expression of the inequality word problems for each question is; As expressed below
How to express inequalities?A) x is negative. This can be expressed as;
x < 0
B) y is non-negative. This can be expressed as;
y > 0
C) q is less than or equal to is expressed as; q ≤
D) d is between 2 and 1 is expressed as 1 < d < 2
E) t is not less than 5 is t ≥ 5
F) The negative of z is not greater than 3 is expressed as;
−z ≤ 3
G) The quotient of p and q is at most 6 is expressed as; p/q ≤ 6
H) The reciprocal of w is at least 9 is 1/w ≥ 9.
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Multiply and express as a mixed fraction
6 × 2 1/9
Answer should be 12 ⅔
I need method
Please answer correctly
Multiply and express as a mixed fraction
6 × 2 1/9
A bag contains 15 red candies, 15 yellow candies, and 15 blue candies. What is the probability of randomly
choosing two candies of the same color, without replacement?
[tex]|\Omega|=45\cdot44=1980\\|A|=15\cdot14\cdot3=630\\\\P(A)=\dfrac{630}{1980}=\dfrac{7}{22}\approx31.8\%[/tex]
2. A function fis given by f: x→ 5x-8, where x € R. Find
a. f(-4)
b. the value of x whose image is 12
Answer:
a. -28b. 4Step-by-step explanation:
f: x→ 5x-8
a. f(-4) = 5(-4) - 8 = -20 - 8. = -28
b. the value of x whose image is 12
To find the value of x ,we have to solve f(x) = 12
f(x) = 12
⇔ 5x-8 = 12
⇔ 5x = 12 + 8
⇔ 5x = 20
⇔ x = 20 ÷ 5 = 4
Find the value of x.
5+x=7
x = [?]
Answer:
x = 2Step-by-step explanation:
Find the value of x.
5+x=7
x = [?]
5 + x = 7
x = 7 - 5
x = 2
----------------check
5 + 2 = 7
7 = 7
the answer is good
A line contains points M(1, 3) and N(5, 0). What is the slope of MN?
negative StartFraction 4 Over 3 EndFraction
Answer:
the answer is [tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
to get the answer, just do [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
plug in the values
[tex]\frac{0-3}{5-1}=\frac{-3}{4} =-\frac{3}{4}[/tex]
That's how you get that.
Solve for p: -3p + 2 > 5
To solve these types of problems:
⇒ just solve like a regular algebraic equation
⇒ with an inequality sign in the middle
Let's solve:
[tex]-3p + 2 > 5\\-3p > 3[/tex]
whenever there is any division/multiplication⇒ must change the inequality sign to face the other direction
[tex]-3p > 3\\p < -1[/tex]
Answer: p < -1
Hope that helps!
Answer:
p < -1
Step-by-step explanation:
-3p + 2 > 5
subtract 2 from both sides
-3p + 2 - 2 > 5 - 2
-3p > 3
divided both sides by -3 to get p alone
-3p / -3 > 3 / -3 reverse the inequality
p > -1
Solve the radical equation.
√x+3-1= x
Answer:
x = 1
Step-by-step explanation:
Radical expression:
√(x+3)-1 = xLet's find the value of x.
Solved:
√(x+3)-1 = x
Transpose -1 to RHS:
=> √(x+3) = x+1Squaring both LHS and RHS,we have:
=> √(x+3)^2= (x+1)^2 => x+3 = x²+2x+1Subtracting x^2+2x+1 from both sides,we have:
=>x+3−(x²+2x+1)=x²+2x+1−(x²+2x+1)=> −x^2−x+2=0Factoring LHS,we have:
=>(−x+1)(x+2)=0Setting (-x+1) = 0 and (x+2) = 0 each time:
=>(-x+1) = 0=> x-1 = 0=> x = 0+1=> x=1Now
=> (x+2) = 0=> x= 0-2=> x = -2There are two solutions– (1,-2)
Let's plug to the given equation to check.
x = 1 :√(x+3) -1 = x
√(1+3)-1 = 1√4 - 1 = 12 - 1 = 11 = 1Equation is true,when plugged to x = 1.
x = -2:√(x+3) -1 = x
√(2+3) - 1 = -2√5 -1 = -22.23606 - 1 = -21.236 = -2Equation is false,when plugged to x = -2.
Hence,the value of x is 1.
-Regards,Hannah
A box has candies in it: are taffy, are peppermint, and are caramel. (Each candy falls into only one of these categories.) Brian wants to select two candies to eat for dessert. The first candy will be selected at random, and then the second candy will be selected at random from the remaining candies. What is the probability that the first candy selected is taffy and the second candy is caramel?
Do not round your intermediate computations. Round your final answer to three decimal places.
Probability that the first candy selected is taffy and the second candy is caramel is 0.144.
The data missing in the question is
A box has 18 candies in it: 3 are peppermint, 4 are caramel, and 11 are taffy.
What is Probability ?Probability can be defined as the study of likelihood of an event to happen.
It has a range of 0 to 1.
Probability is the ratio of the expected outcomes / total coutcome.
Total outcomes = 18
The probability that the first candy is taffy is 11/18
Now as there is no replacement , the total outcomes can be 17
The probability that the second candy is caramel is 4/17
Probability that the first candy selected is taffy and the second candy is caramel = (11/18)(4/17)
= 0.144
Therefore the Probability is 0.144
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Pls help meee!!!!!!!!!
Answer:
IT IS 40
Step-by-step explanation:
oh my gosh I spent forever on this
ok so we want both equations answers to match since the angles are congruent
So I started at three and of course that was wrong
the way I got 40 was by increasing "x"
and then looking at the difference at both equations answers
for example 36
36x3= 108 -10 =98 and 36 x 2 = 72 +30= 102
so 102-98=4 so I knew I was getting close because we want the difference to be zero
so yeah I made my way up to forty and got it
hope that helps!
Consider the function represented by with x as the independent variable. How can this function be written using function notation?
A function assigns the values. This function can be written using function notation as f(x).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function represented by x as the independent variable. Therefore, this function can be written using function notation as f(x).
Hence, this function can be written using function notation as f(x).
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Answer: f(x)-3x+4
Step-by-step explanation:
trust me
Jannet walked 1 2/3 of a mile and her brother jamie walked 2 4/5 of a mile. How much did they walk all together
Answer:
4 7/15 miles
Step-by-step explanation:
1 2/3 + 2 4/5
Make alike denominators by multiplying 1 2/3 by 5 and 2 4/5 by 3
1 10/15 + 2 12/15 = 3 22/15
4 7/15 miles altogether that was walked
Give brainliest please!
Hope this helps :)
Sheena needs 1 3/4 cups of sugar to make pancakes. she already has 5/8 cups of sugar. how much more does she need?
Answer:1 1/8
Step-by-step explanation:
1 3/4 = 1 6/8
1 6/8 = 14/8
14/8-5/8=9/8
9/8=1 1/8
hope this helped!
Help ASAP! Please this is hard!
What are m and b in the linear equation 10 + 4x + 3 + 2x = y?
Answer:
m = 6
b = 13
Step-by-step explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this equation, "m" represents the slope and "b" represents the y-intercept. To determine these variables, you need to rearrange/simplify the given equation.
10 + 4x + 3 + 2x = y <---- Original equation
10 + 3 + 4x + 2x = y <---- Rearrange
13 + 4x + 2x = y <---- Combine 10 and 3
13 + 6x = y <---- Combine 4x and 2x
y = 6x + 13 <---- Rearrange
As you can now see, the number in the "m" position is (6) and the number in the "b" position is (13).
Present a picture of an object (TV, Ipad Screen, Book Cover) that contains a right angle (it could be something in nature or that is man-made). Use a ruler or measuring tape to measure the two sides that make the right angle and measure the distance from the end of one side to the end of the other side (hypotenuse). Draw a diagram of the object including the measurements. Use your leg measurements on your diagram to calculate a theoretical hypotenuse. (Show all steps).
The measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
The question is incomplete:
The complete question is:
Present a picture of an object (TV, Ipad Screen, Book Cover) that contains a right angle (it could be something in nature or that is man-made). Use a ruler or measuring tape to measure the two sides that make the right angle and measure the distance from the end of one side to the end of the other side (hypotenuse). Draw a diagram of the object including the measurements. Use your leg measurements on your diagram to calculate a theoretical hypotenuse. (Show all steps).
Does the hypotenuse that measured with a ruler/measuring tape equal the hypotenuse you calculated?Why do you think they are or are not exactly the same?What did you learn from developing this presentation?
We are assuming the length of one side x:
x = 18 cm
Length of other side y:
y = 15 cm
And length of the hypotenuse z:
z = 23.5 cm
From the Pythagoras theorem:
z² = x² + y²
z² = 18² + 15²
z² = 549
z = √54 = 23.43 cm
The measure of hypotenuse is:
Using ruler: x = 25.5 cm
Using formula: x = 23.43 cm
They are not equal due to the reading in the ruler.
The formula can be used to in the real life problems as well.
Thus, the measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.
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Which figure are shown in the diagram? Select three options
Line cd
Point d
Ray cd
Segment cd
Answer:
=Line cd
=Point cd
=Segment cd
11+22+33+44+55+66+77+88+99+110+220+330+440+550+660+770+880+990+1110=
Answer:
6545
Step-by-step explanation:
i spent time on this. i had to type out everything. by. hand.
see calculator image for proof. enjoy.
Answer: 6,555 im good at trig and using the pythagorean therum
Step-by-step explanation: brainliest?
a certain rectangular carpet covers 200 square meters. it’s width is 4 meters. how long is the carpet?
Answer:
50 square meters
Step-by-step explanation: