Answer:
rrd8td8titzyLELUEluexurzpudr8tsulrz7lsrirslLUR7zrlurrpusuflzitlsitssl7rLURl7rskruykfatslutsyditslktlskusje7so7kts8d7k6rsl7rsiltz8lsl85d8ldl7zrd7lslr7silsl7s7osrd8p7o57si5pposppi5aos5a5is5iipaipa5si5s5poa5ip58a5s8o5sps5opso5po5spso5ips5doyidlittidt7par7lzbfFeusbzmfaahdkrlusliautltuLufzuglzitliiyldliapiyla8tlitazat
A grocery store has 10 cartons of yogurt for sale, of which 4 are raspberry. What is the probability that a randomly selected carton of yogurt will be raspberry? Write your answer as a fraction or whole number.
Answer:
2/5
Step-by-step explanation:
4 raspberry / 10 total
4/10
2/5
Math Homework: Unit 3 Assignment
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
terry buys an orange for 43p. He pays with £1 coin how much change does he get?
Answer:
57p
Step-by-step explanation:
so 1 pound is just 1.00 so
1.00-0.43=0.57
so terry will get 57p change
Makesha lost 58.5 pounds in 18 weeks. Find her rate of loss in pounds per week.
Find three consecutive even integers such that the sum of twice the first and three times the second is 4 more than twice the third.
Answer:
2, 4, 6
Step-by-step explanation:
You want three consecutive even integers such that the sum of twice the first and three times the second is 4 more than twice the third.
SetupLet x represent the middle integer. Then the first is (x-2) and the third is (x+2). The given relation is ...
2(x -2) + 3x = 2(x +2) +4
SolutionSimplifying the equation gives ...
2x -4 +3x = 2x +4 +4
5x -4 = 2x +8 . . . . . . . collect terms
3x = 12 . . . . . . . . . . . add 4-2x
x = 4 . . . . . . the middle integer
The integers are 2, 4, 6.
__
Additional comment
It often simplifies the equation if the variable is used to represent the middle of the consecutive integers in problems like this. In this particular problem, there is not a great advantage.
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Hi can someone please help me with these!!!
a)The value of ∠b=64°.
b)The values of angles q, r, s, t are ∠q= 65°, ∠r=65°, ∠s=50°, ∠t=65°.
c)The value of ∠B=72 degrees.
What are the theorems of parallel lines?The same-side interior angles are additional if a transversal connects two parallel lines. Alternate interior angles are equivalent if a transversal connects two parallel lines. Corresponding angles are equal.
a) Given line PQ is parallel to ST.
One of the theorems of parallel lines is, Corresponding angles are equal.
Here the corresponding angles are ∠a, ∠b.
so, ∠a=∠b
∴∠b=64°
b) It is given that lines B and C are parallel, according to one of the theorems of parallel lines, vertically opposite angles are equal. So, the angle opposite to 65° is also equal to 65°. Sum of the angles suspended by a line on another line is 180°. Therefore the other angle in the triangle is 180°-130°=50°.
Since the sum of interior angles in a triangle is 180°, the angle q will be:
∠q= 180°-(65°+50°)
∠q= 65°.
Vertically opposite angles are equal, therefore ∠q=∠r=65°.
∠s=180°-(65°+65°)
∠s=50°.
Corresponding angles are equal, therefore
130°=65°+∠t
∠t=65°.
c) Given lines A, and B are parallel. We know that the Corresponding angles are equal, therefore
3m=4m-24
⇒m=24
Therefore ∠B=4(24)-24
∠B=72 degrees.
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Mark purchased a 12-pack of soda for
$5.86. What is the unit rate per soda?
(Round to the nearest cent!)
Answer:
$0.49 per soda
Step-by-step explanation:
The cost per soda is found by dividing the cost by the number of sodas.
__
$5.86/(12 sodas) = $0.48833.../soda ≈ $0.49/soda
The unit rate is $0.49 per soda.
What part of the expression below should be calculated first 8 x {22 x [15 + (14 x 2)]} A 8+22. B 22×15. C 14x2. D 15+14.
Answer:
14*2
Step-by-step explanation:
8 x {22 x [15 + (14 x 2)]}
With multiple parentheses work from the inside out
The inner most parentheses are
14*2
Which number is equivalent to 7/11
?
The equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
There are infinitely many numbers equivalent to 7/11
since 7/11 is a fraction that can be simplified in different ways.
We can multiply the numerator and denominator with the same number to get the equivalent fractions
7/11×2/2 = 14/22
7/11×3/3= 21/33
7/11×4/4 =28/44
7/11×5/5 =35/55
Hence, the equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
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what are the steps to solve this
Answer:
The equation of this line is y = -4.
Answer:
y=-4
Step-by-step explanation:
zero slope m=0
y-y1=m(x-x1)
y-(-4)=0(x-(-9))
y+4=0
y=-4
I need a help with this hw
The values of the trigonometric ratios are: a) - 7/5, b) -75 c ) -1/5 d ) -25/12
What is trigonometric ratio?
Trigonometric ratios are measurements of the lengths of two sides of a triangle. There are three basic trigonometric ratios: sine, cosine, and tangent. Sine ratios are the ratios of the length of the side opposite the angle they represent over the hypotenuse
the give parameters are:
tanα = -4/3 where π/2 <α<π and sinβ = √3/2, 0<β<π/2
a) sin(α+β)
Using the trig ratios tan = opp/adj
but from pyth. rule, 4² + 3² = h²
16+9 = h²
h = √25 = 5
Now from trig Sin(α+β)
4/5 + 3/5
=- 7/5
b) cos(α+β)
cos = ad/hypo
4/5 + 3/5
= -7/5
c) Sin(α-β)
4/5 - 3/5
-1/5
d) tan(α-β)
= -4/3 - 3/4
= (-16 - 9)/ 12
-25/12
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Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G
Mark this and return
Answer:Side C H
Step-by-step explanation:
Ans
C
Step-by-step explanation:
took the test made 100
jalen drew a rectangle with a perimeter of 20 inches. the smaller side measured 3 inches. jalen said the longer side of the rectangle had to be 7 inches. is jalen correct?
Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(3 + 7)
20 = 2(10)
20 = 20 (True).
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Maggie has a box of crayons. 35 are orange, 12 are blue, 25 are green, and 7 are red. If she selects a crayon at random, which color crayon would he be MOST likely to select?
Answer:
orange
Step-by-step explanation:
I don't know how to find this angle.
Answer:
i think it is at least sum where between the 30s and 40s
Step-by-step explanation:
The distance from Gillette, New Jersey, to Irvington, New Jersey, is 1 mile more than four times the distance from Irvington to Newark. If the total distance from Gillette to Newark is 2 miles less than six times the distance from Irvington to Newark, what is the distance from Irvington to Newark if all three cities are in a straight line?
Answer:
distance from Irvington to Newark
.= 3 Miles
Step-by-step explanation:
distance from Irvington to Newark.= X
distance from Gillette, New Jersey, to Irvington, New Jersey,= y
Y= 1+4x
total distance from Gillette to Newark
= z
Z= 6x-2
But total distance = x+y
Total distance= x+1+4x
Total distance= 1+5x
1 +5x= 6x-2
1+2= 6x-5x
3= x
distance from Irvington to Newark.= X
distance from Irvington to Newark
.= 3 Miles
distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+4x
distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+4(3)
distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+12
distance from Gillette, New Jersey, to Irvington, New Jersey,= 13 miles
Total distance= 1+5x
Total distance= 1+5(3)
Total distance= 16 miles
Explain why a solution of a word problem should be checked using the original wording of the problem and
not the equation written from the wording.
Choose the correct answer below.
A. It is possible that errors
were made when translating from a word problem to an equation.
B. The math of an equation can not
perfectly translate to a real-life situation so the answer found may be inaccurate.
C. It is not possible to
determine whether an answer is correct based on an equation alone.
D. The units of an equation's answer
have no meaning when taken out of the context of the word problem it relates to
Answer: A. It is possible that errors were made when translating from a word problem to an equation.
Step-by-step explanation:
The reason why a word problem should be checked using the original wording of the problem and
not the equation written from the wording is because it's possible that errors were made when translating from a word problem to an equation.
Word problems are the questions that involved the description on words of real-life problems. Word problems can somehow be challenging to convert to equations before they're solved mathematically. Once the conversion has been done, then the question can be easily tackled.
In cases, whereby error was made while converting from the word problem to the mathematical equation, this will lead to a wrong solution. Hence, word problem should be checked using the original wording of the problem.
what is the average rate of change in fx between x1 and x5
The Average rate of change of the function f(x) = 2x² + 3 in the interval [1 , 5] is 12 .
In the question ,
the function is given as f(x) = 2x² + 3 ,
the interval in which we have to find the average rate of change is [1,5] .
So , f(1) = 2 + 3 = 5
and , f(5) = 2(5)² + 3 = 50 + 3 = 53
we know that the the average rate of change for the function f(x) over the interval [a,b] is calculated using the formula .
Rate Of Change is \(=\) (f(b) - f(a))/(b - a)
Substituting the required values in the formula , we get
Rate Of Change is \(=\) (f(5) - f(1))/(5 - 1)
= (53 - 5)/4
= 48/4 = 12
Therefore , Average Rate Of Change is 12 .
The given question is incomplete , the complete question is
What is the average rate of change in f(x) = 2x² + 3 between x = 1 and x = 5 ?
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Answer this, please
Zachariah and Khai collect stamps. Zachariah has 7 American stamps out of 12 stamps. Khai has 15 American stamps out of 24 stamps. Which statement is correct?
Zachariah has a higher ratio of American stamps than Khai because 7 over 12 is greater than 15 over 24.
Khai has a higher ratio of American stamps than Zachariah because 7 over 12 is less than 15 over 24.
Zachariah has a higher ratio of American stamps than Khai because 7 over 12 is less than 15 over 24.
Zachariah and Khai have the same ratio of American stamps.
The last statement would be true, because you would convert 7/12 into a fraction and 15/24 into a fraction. From their fraction eyes to State you would turn them into decimals and then percentiles.
Answer:
D: They are both the same
Step-by-step explanation:
I took the test
e/22 = 6/15, What does e equal? Please answer with work!
Answer:
e = 44/5 = 8.800
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
e/22-(6/15)=0
Step by step solution :
STEP
1
:
2
Simplify —
5
Equation at the end of step
1
:
e 2
—— - — = 0
22 5
STEP
2
:
e
Simplify ——
22
Equation at the end of step
2
:
e 2
—— - — = 0
22 5
STEP
3
:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 22
The right denominator is : 5
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 1 0 1
11 1 0 1
5 0 1 1
Product of all
Prime Factors 22 5 110
Least Common Multiple:
110
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 5
Right_M = L.C.M / R_Deno = 22
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. e • 5
—————————————————— = —————
L.C.M 110
R. Mult. • R. Num. 2 • 22
—————————————————— = ——————
L.C.M 110
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
e • 5 - (2 • 22) 5e - 44
———————————————— = ———————
110 110
Equation at the end of step
3
:
5e - 44
——————— = 0
110
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
5e-44
————— • 110 = 0 • 110
110
Now, on the left hand side, the 110 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
5e-44 = 0
Solving a Single Variable Equation:
4.2 Solve : 5e-44 = 0
Add 44 to both sides of the equation :
5e = 44
Divide both sides of the equation by 5:
e = 44/5 = 8.800
One solution was found :
e = 44/5 = 8.800
Answer:
e =44/5
Step-by-step explanation:
e 6
----- = --------
22 15
Using cross products
e * 15 = 6 *22
15e = 132
Divide by 15
15e/15 = 132/15
e =44/5
Solve for x.
Can anyone help me please?
Answer:
The answer is 1
Step-by-step explanation:
3-4= -1
-1+x= 1
An insurance company divides its policy holders into three categories: low risk, moderate risk, and high risk. The low-risk policy holders account for 55% of the total number of people insured by the company. The moderate-risk policy holders account for 25%, and the high-risk policy holders account for 20%. The probabilities that a low-risk, moderate-risk, and high-risk policy holder will file a claim within a given year are respectively 5%, 15% and 60%. Given that a policy holder files a claim this year, what is the probability that the person is a moderate-risk policy holder?
Answer:
0.2027 = 20.27% probability that the person is a moderate-risk policy holder
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Policy holder files a claim.
Event B: The person is a moderate-risk policy holder.
Probability of filling a claim:
5% of 55%(low risk)
15% of 25%(moderate risk)
60% of 20%(high risk).
So
\(P(A) = 0.05*0.55 + 0.15*0.25 + 0.6*0.2 = 0.185\)
Files a claim and is moderate risk:
15% of 25%(moderate risk)
So
\(P(A \cap B) = 0.15*0.25 = 0.0375\)
Given that a policy holder files a claim this year, what is the probability that the person is a moderate-risk policy holder?
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0375}{0.185} = 0.2027\)
0.2027 = 20.27% probability that the person is a moderate-risk policy holder
POSSIBLE POINTS
Sarah is making hairbows for 6 friends. She needs 1 yards of ribbon for each hairbow. How many total yards of ribbion will she use?
Answer:
6 yards
Step-by-step explanation:
she need 1 yard of ribbon for each hairbow and 6 friends to make them for
What is the least common multiple of 9, 17, and 51? A. 51 B. 102 C. 153 D. 867
Answer:
C. 153Hope this helps
shshsgshsh
Answer:
C. 153
Step-by-step explanation:
I just did this quiz and got it right!! Hope this helps! :D
Find the distance on maple street, in miles, from M to P
Answer:
8
Step-by-step explanation:
Use the right triangle altitude theorem. The three triangles are right triangles and are similar.
MP/FP = FP/EP
MP/12 = 12/(EM + MP)
MP/12 = 12/(10 + MP)
MP(10 + MP) = 144
MP^2 + 10MP - 144 = 0
(MP + 18)(MP - 8) = 0
MP = -18 or MP = 8
Since a side length cannot be negative, the answer is MP = 8
Answer: 8
(02.05)The figure shows three quadrilaterals on a coordinate grid: A coordinate plane is shown. Quadrilateral D has sides measuring 3 units and 1 unit. Quadrilateral F has sides measuring 3 units and 1 unit. Quadrilateral E has sides measuring 2 units and 6 units. Which of the following statements is true about the three quadrilaterals? D and E are similar but not congruent. E and F are similar and congruent. D and E are similar and congruent. F and D are similar but not congruent.
Answer: CAN SOMEONE PLZ ANSWER TFF QUSTION PLZ!!
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Allen Siegell has a personal injury protection policy that covers each person in, on, around, or under his car for medical expenses up to $50,000. He is involved in an accident and five people in his car are hurt. One person has $3,000 or medical expenses, three people each have $500 worth of medical expenses, and Allen himself has medical expenses totaling $62,000. How much money must the insurance company pay out for these five people?
The total medical expenses for the five people in the car are $3,000 + $3*$500 + $62,000 = $3,000 + $1,500 + $62,000 = $66,500
What does a math word problem entail?
A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.
Since Allen's personal injury protection policy covers each person up to $50,000, the insurance company must pay out $50,000*5 = $250,000 for the five people in the car.
Since the total medical expenses for the five people are $66,500, the insurance company will pay out the total medical expenses for the five people, which is $66,500.
Therefore, the insurance company must pay out $66,500 for these five people.
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House representatives are elected every two years the President of the United States is elected every four years both will be elected in 2004 when is the next year after 2004 for both will be elected
Factor 18p-3618p−3618, p, minus, 36 to identify the equivalent expressions.
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
3(9p-12)3(9p−12)3, left parenthesis, 9, p, minus, 12, right parenthesis
(Choice B)
B
9(2p-4p)9(2p−4p)9, left parenthesis, 2, p, minus, 4, p, right parenthesis
(Choice C)
C
2(9p-18)2(9p−18)2, left parenthesis, 9, p, minus, 18, right parenthesis
(Choice D)
D
18(p-2)18(p−2)
After simplification, the equivalent expression is 18(p-2). So the option D is correct.
In the given question,
We have to find factor 18p-36 equivalent expressions.
The given option is
A. 3(9p-12)
B. 9(2p-4p)
C. 2(9p-18)
D. 18(p-2)
The given expression is 18p-36.
We simplify the given expression to find their equivalent expression.
To simplify the expression we take out the common term from both terms.
We can see that 18 is a common multiply of both number 18 and 36. SO we take out 18 from both terms.
Taking common 18
18p-36 = 18(p-2)
Hence, the equivalent expression is 18(p-2). SO the option D is correct.
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