Answer:
TU = 27
Step-by-step explanation:
ST + TU = SU
(8x - 11) + (14x - 15) = 19x - 17
8x - 11 + 14x - 15 = 19x - 17
22x - 26 = 19x - 17
22x - 19x = 26 - 17
3x = 9
x = 3
TU = 14x - 15 = 14(3) - 15 = 27
Glen rolls a biased dice 400 times.
The results are shown below in the table.
Score Frequency
1 95
2 134
3 45
4 26
5 75
6 25
Jake rolls the same dice 720 times.
Estimate how many 5's he can expect to get. Answer
When Jake rolls the same dice 720 times, the number of 5s will be 135.
How to illustrate the information?It should be noted that the frequency for 5 is 75 out of 400. This will be:
= 75 / 400
= 3/ 16
Therefore, when Jake rolls the same dice 720 times, the number of 5s will be:
= 3/16 × 720
= 135
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Jamal has a suitcase that contains only 10 white socks. he wants to add enough black socks so that the probability of randomly selecting a white sock is 1/5. how many black socks should jamal add to the suitcase? f. 30 g. 35 h. 40 j. 45 k. 50
40 black socks should be added to the suitcase( i.e., option h )
Let's take x = black socks added by Jamal
Based on the given condition, we have
[tex]\frac{10}{10 + x}[/tex] = 1/5
Here x ≠ -10
Because to define the fraction, the denominator should not be 0.
Now we need to find the value of x,
[tex]\frac{10}{10 + x}[/tex] = 1/5
50 = 10 + x
x = 40
Therefore 40 socks should Jamal add to the suitcase.
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HELP...................................! !
Answer:
Your answer would be 3.075.
Step-by-step explanation:
15 - 6.8 = 8.2
8.2 - 5 1/8 = 3.075
--------------------------------
Hope this helps!
Have a great day and God bless! :)
23 + 10 ÷ 2 − (− 14 ÷ 2)
Please explain it.
Step-by-step explanation:
23 + 10 - 2 + 14 + 2
33 - 2 + 16
31 + 16 = 47
The point P(–5,–5) is translated 1 unit left and 1 unit up. What are the coordinates of the resulting point, P'?
Please help! And show your work for each answer so I can understand, ty
Answer:
a=17, R=101
Step-by-step explanation:
10:
We know that if all angles of a triangle are congruent, the angles must be as well. CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
We also know that all interior angles of a triangle add up to 180 degrees. If they are all equal this only leaves us with the possibility of every angle equaling 60 degrees, otherwise they wouldn't add up to 180 AND be equal simultaneously.
To find the value of a set the equation equal to 60.
[tex]4a-8=60[/tex]
Solve for a:
[tex]4a-8=60\\4a=68\\a=17[/tex]
19:
We know in a parallelogram all interior angles sum to 360 degrees.
Remember the sum of angle pairs between parallel lines is 180 degrees. Meaning if we add angles T and S and set them equal to 180 degrees we can then find the value of angle S as we would have the value of variable x.
[tex](4x+1)+(3x+4)=180\\7x+5=180\\7x=175\\x=25[/tex]
Now substitute in the known value of x to find angle S:
[tex]3(25)+4\\75+4\\79[/tex]
Angle S measures 79 degrees.
Using our previous knowledge of two angles on a parallel line summing to 180 degrees, we can find the measure of angle R by subtracting 79 from 180.
[tex]180-79=x\\101=x[/tex]
R=101
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The difference between the area of the square and the area of the circle is C. 9x²(4 - π).
How to calculate the area?The area of the square will be:
= Side ×Side
= 6x × 6x
= 36x²
The area of the circle will be:
= πr²
= 3.14 × (3x)²
= π × 9x²
= 9πx²
The difference will be:
= 36x² - 9πx²
= 9x²(4 - π)
Therefore, the correct option is C.
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Factor. x^2-x=20
HUGE POINTS WOWZIE WOOZA
Answer:
(x-5)(x+4) = 0
Step-by-step explanation:
Pre-SolvingGivenWe are given the quadratic equation x²-x=20
And we want to factor it, meaning that we want to split it apart, usually to make it easier to solve.
SolvingFirst, let's subtract 20 from both sides, as when all 3 terms of a quadratic equation are on the same side, it makes it a lot easier to solve.
x² - x = 20
-20 -20
_______________
x² - x - 20 = 0
Now, we can get on to factoring.
In a quadratic equation, written as ax² + bx + c = 0 (like in here), b (the coefficient in front of just x, not x²) is equal to the sum of two numbers, while c is the product of the same two numbers.
The coefficient in front of x (b) is -1, and c is equal to -20.
Now think: which two numbers add up to -1, and multiply to equal -20?
Those numbers are -5 and 4.
Now, to factor a quadratic, we split it up into 2 binomials multiplied by each other, and each binomial is x + one of the numbers we found above. It looks like this: (x+1)(x+2). Remember that this only affects the left side; the right side stays the same.
In this case, we have -5 and 4, which will take the place of 1 and 2 in the example above.
Therefore, the factored form of x² - x - 20 = 0 is (x-5)(x+4) = 0.
Write the following statement in the "if-then" form.
A side of a square measures 3 decimeters if the side's measure is 30 centimeters.
Choose the correct answer below.
OA. If the side of a square measures 3 decimeters, then the side's measure is 30 centimeters.
OB. If the side's measure is 30 centimeters, then the side of a square measures 3 decimeters.
If the side's measure is 30 centimeters, then the side of a square measures 3 decimeters, is the "if-then" form of A side of a square measures 3 decimeters if the side's measure is 30 centimeters.
A statement with an assumption and a conclusion is known as a conditional statement (also known as an if-then statement). The hypothesis is the initial clause, or "if," part of a conditional statement which is followed by the second, or "then," component of a conditional statement is the conclusion. The theory led to the conclusion.
Thus, option B is correct which is, if the side's measure is 30 centimeters, then the side of a square measures 3 decimeters.
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3x - 4+1 = -2x - 5 + 5x
Answer:
No solution
Step-by-step explanation:
Simplify and combine like terms
3x - 3 = 3x - 5
Subtract 3x on both sides.
-3=-5
No solution
Answer:
-2
Step-by-step explanation:
Ming says that 0.24>1/4 because 0.24=2/4 which best explains Ming’s error
Emily purchased a pack of 6 shirts for $18. What was the cost per shirt? someone answer this please.
Answer:
$3
Step-by-step explanation:
Divide 6 from 18 to find the cost per shirt.
18/6=3
3 dollars per shirt.
Hope this helps!
Please mark as brainliest if correct!
Help please
An airline charges an extra fee for a checked bag that weighs more than 50 pounds.
Your bag weighs 44.9 pounds.
You have a 2.5 pound hair dryer, a 1.3 pound souvenir, and a 3.6 pound pair of boots.
Which items can you add to the bag without paying the extra fee?
you can choose any of the 3 items, or any combination of two of the items unless the hair dryer and the boots, because the combined weight is 3.6lb + 2.5lb = 6.1 lb
Which items can you add to the bag without paying the extra fee?
The maximum weight that your bag can have is 50 pounds.
The actual weight of your bag is 44.9 pounds, so if we define x as the weight you can add, then we can write the inequality:
44.9 lb + x ≤ 50lb
Solving the inequality for x, we get:
x ≤ 50lb - 44.9 lb
x ≤ 5.1 lb
Now, the weight of the items are:
hair dryer = 2.5 lb
souvenir = 1.3 lb
boots = 3.6 lb
So you can choose any of the 3 items, or any combination of two of the items unless the hair dryer and the boots, because the combined weight is 3.6lb + 2.5lb = 6.1 lb
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the numbers from $1$ to $150$, inclusive, are placed in a bag and a number is randomly selected from the bag. what is the probability it is neither a perfect square nor a perfect cube? express your answer as a common fraction.
The required probability is [tex]\frac{1}{10}[/tex].
This problem is related to probability.
First we have to calculate the number of outcomes and then the number of favorable outcomes.
In this case the numbers are from 1 to 150.
First we have to find the numbers which are perfect square between 1 to 150= {1,4,9,16,25,36,49,64,81,100,121,144}
Now we have to find the numbers which are perfect cube other than those which came in square={8,27,125}
Here the number of favorable outcome is 150 minus number of elements in set of perfect square and perfect cube.
Now the probability of the required problem is = [tex]\frac{15}{150}[/tex]
= [tex]\frac{1}{10}[/tex]
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What is the value of (-2) • (7) • (5) • (-4)= Enter your answer as a number, like this: 42
Answer:
280
Step-by-step explanation:
-2 x 7 = -14
-14 x 5 = -70
-70 x -4 = 280
Answer:
280
Step-by-step explanation:
PEMDAS
The PEMDAS rule is an acronym representing the order of operations in math:
ParenthesesExponentsMultiplication and Division (from left to right)Addition and Subtraction (from left to right)According to the order of operations (PEMDAS), when multiplying, work from left to right:
Given expression:
(-2) · (7) · (5) · (-4)
Multiply -2 by 7:
⇒ (-14) · (5) · (-4)
Multiply -14 by 5:
⇒ (-70) · (-4)
Finally, multiply -70 by -4, remembering that if both numbers are negative, the answer is positive:
⇒ 280
I am offering 50 points to answer this and i will do it again and again
Answer: Between 2 and 7
Answer:
2 to 5
Step-by-step explanation:
i don't know because of i don't this transmission may not have the completed Questionnaire
Aiden surveyed 300 of the students in his school about their favorite color. 85% said their favorite color was red. How many students favorite color was red?
The number of people who like red color is 255 students when 85% said their favorite color was red.
What is percentage?Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. percentage.
Given:
Total students =300
85% said their favorite color was red.
So, students whose favorite color was red
=85/100 *300
=85*3
= 255 students.
Hence, 255 students whose favorite color was red
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Which ordered pair makes both inequalities true?
y < –x + 1
y > x
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded.
Answer:
Here SOLUTION: −5x + 4y = 20. 10x − 8y = −40.
Step-by-step explanation:
First, solve the first equation for y. Then, substitute for y in the second equation. This equation is an identity.
Amir has 2 checking accounts. The first has a balance of -$20 and the
second has a balance of $160. What is the sum of the two sum balances
Answer:
D. 140. ....,.....
Step-by-step explanation:
160-20=140
Jovani has 144 feet of fencing to make a rectangular garden in his backyard. he wants the length to be 32 feet more than the width. find the width.
The width of rectangular garden comes out to be 20 feet .
Let the width be x feet .
Therefore , length is ( x + 32 ) feet .
Formula for perimeter of a rectangle :
perimeter = 2 ( length + breadth )
By substituting the values in the formula above , the equation becomes ,
2 ( x + x + 32 ) = 144
2 x + 32 = 144 / 2
2 x = 40
x = 20
Hence , width = 20 feet , length = 52 feet .
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Dendra's boat uses 3 gallons of gas in 4 hours. How many gallons of gas will she use in 15 hours?
Answer:11.25
Step-by-step explanation:because we have to find out how many gallons we have in one hour so you divide both sides by 4
4/4 is 1 hour
3/4 is 0.75 gallons then you have to multiply both sides by 15
1 hour times 15 is 15 hours
the 0.75 x 15 is 11.25
so the answer is 11.25 gallons that she uses in 15 hours
hope this helps
Elliot uses 3/8
pound of clay to make a charm for a necklace. How much clay does he use to make
Answer:
five thousand clay to school
help like rn, like rn rn rn rn , thanks
Answer: 13π/6 √45
Step-by-step explanation:
[tex]\displaystyle\\\sqrt{11} +3\approx6.32\\\\\pi +3,8\approx6.94\\\\Hence,\\\\6.32 < x,6.94\\\\\frac{61}{10}=6.1 \notin\\\\\frac{13\pi }{6}\approx6.81\in\\\\\sqrt{45}\approx6.71\in \\\\6\frac{1}{9}\approx6.11\notin\\\\\sqrt{83}-3\approx6.11\notin[/tex]
Pllss helppppppppppp
Answer: A. x=8
Step-by-step explanation:
0.4(5x-12)+0.5x=15.2
(0.4)(5x)-(0.4)(12)+0.5x=15.2
2x-4.8+0.5x=15.2
2.5x-4.8=15.2
2,5x-4.8+4.8=15.2+4.8
2,5x=20
(2.5)(x)=(2.5)(8)
Divide both parts of the equation by 2.5:
x=8
The difference of 7 and the product of 2 and a number.
A company designs a new water pitcher. They take a picture of the pitcher for their promotional materials. What is the approximate area filled by the water in the picture on the flyers? The picture shows the outline of a pitcher. The height of a pitcher's body is 12 in, and the height from neck to top is 4 in. The width of the bottom is 8 in, the neck is 3 in, and the top open is 5 in.
Answer:
32in2
Step-by-step explanation:
Give an angle which has the same sine as 300
I might me wrong, but i believe that its -36.
Have a nice day <3
There was a country concert held at the park. For every 5 men there were 7 women that went to the concert. If 40 more women attended the concert than men, how many men and how many women attended the concert? Use the following diagram to help solve the ratio problem.
Step-by-step explanation:
i think it is 35 but im probaly wrong
which of these expressions are equal?
I. 4.86x0.01
II.48. 6x 0.1
III. 0.0486x100
IV.48.6x10
Answer:
II. 48.6×0.1
III. 0.0486×100
Step-by-step explanation:
48.6×0.1 = 4.86
0.0486×100 = 4.86
Answer:
ll and lll are equal.
Step-by-step explanation:
4.86x0.01 = 0.0486
48.6 x 0.1 = 4.86
0.0485 x 100 = 4.86
48.6 x 10 = 486
Given the line y = -1, write the equation
of the line that is parallel to that line and
passes through (-3,5).
Answer:
Y+5=0
Step-by-step explanation:
Here,given eqn of line is 0.X+Y+1=0_____(i)
since required eqn is parallel to eqn (i)
0.X+Y+K=0____(ii)
passing point (-3,5)
putting the value of Y
5+K=0
.-.K=(-5)
r required eqn is Y-5=0