Which expression is equal to 7/8?
7−8
8−7
7 ÷ 8
8 ÷ 7
Answers
Answer:
7 ÷ 8
Step-by-step explanation:
It is 7 ÷ 8 because
a fraction is really a
division sign
Answer:7 divided by 8
Step-by-step explanation:
Related Questions
The sum, Sn, of the first n terms of an arithmetic sequence is given by Sn = 2 (a, + an), in which a, is the first term and an is the nth term. The sum S, of the firsta, (1-")terms of a geometric sequence is given by S. =-1-1in which a, is the first term and is the common ratio (r+ 1). Determine whether the following sequencearithmetic or geometric. Then use the appropriate formula to find S10, the sum of the first ten terms.3.9.15, 21Determine whether the sequence is arithmetic or geometřic. Choose the correct answer below.ArithmeticGeometricS10=0Click to select your answers)
Answers
The sequence; 3, 9, 15, 21.
Now, from the definition of both sequence, A sequence is an arithmetic if it has a common difference. And a sequence is geometric if it has a common ratio.
A common difference d, is thus given as;
\(d=a_2-a_1=\text{ }a_3-a_2\)While a common ratio r, is given as;
\(r=\frac{a_2}{a_1}=\frac{a_3}{a_2}\)So, testing for the one that satisfy the sequence, we observed that;
\(\begin{gathered} 21-15=15-9=9-3=6 \\ \text{That is, it has a common difference.} \end{gathered}\)Thus, the sequence ia an arithmetic sequence.
Before we can find the Sum of the first ten terms, we have to get the tenth term;
\(\begin{gathered} a_n=a_1+(n-1)d \\ \text{Where d=common difference} \\ a_{10}=\text{ tenth term} \\ a_1=\text{ first term} \\ n=\text{number of term} \\ a_{10}=3+(10-1)(6)=3+54=57 \end{gathered}\)Then;
\(\begin{gathered} S_{10}=\frac{10}{2}(3+57) \\ S_{10}=5(60) \\ S_{10}=300 \end{gathered}\)Thus, the sum of the first ten terms is 300.
slove for x9x-3-8x=7-×
Answers
The given expression : 9x - 3 -8x = 7 -x
Simplify for x
\(\begin{gathered} 9x-3-8x=7-x \\ 9x-3-8x-7+x=0 \\ 9x-8x+x-3-7=0 \\ 2x-10=0 \\ 2x=10 \\ x=5 \end{gathered}\)x = 5
Answer : x = 5
Find the measure of arc BC given m<1 = 70°. Type a numerical answer in the space provided. Do not include any symbols, labels or
spaces in your answer.
Answers
Answer:
70°
Step-by-step explanation:
Because line segment OB and OC are both straight lines, then the measure of angle fromed by this two segments is the same in different locations.
Sasha spent half of her allowance
going to the movies. She washed
the family car and earned $6. What
is her weekly allowance if she ended
with $15?
Answers
Answer:
$18 was her allowance
Step-by-step explanation:
do it backwards
Which measurements can create more than one triangle? three angles measuring 75 degrees, 45 degrees, and 60 degrees three sides measuring 7 m, 10 m, and 12 m three angles measuring 40 degrees, 50 degrees, and 60 degrees three sides measuring 3 cm, 4 cm, and 5 cm
Answers
We can see here that the measurements that can create more than one triangle is option A. The one that refers to the three angles measuring 75 degrees...
What is triangle?Triangles are known to be three-sided polygons having three vertices. It is one of the basic geometric forms. The name for a triangle with vertices A, B, and C is triangle ABC.
We must think about the triangle inequality theorem, which states that the total of the lengths of any two sides of a triangle must be greater than the length of the remaining side, to figure out which measurements can produce more than one triangle.
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sum of the items in set of data
Mean =
number of items in set of data
Range = Biggest data value - smallest data value.
The marks for 10 learners in the gr. 9 Mathematics test were as follow:
45
36 81 20 77 18 54 48 51 36
3.1
Arrange the marks in ascending order
3.2
Calculate the mean mark (percentage) for the 10 learners correct to one decimal.
3.3 Determine the range of marks
3.4
Determine the mode.
3.5 The mean of the following 3 marks is 20
24 A 21
Determine the value of A
Answers
Answer:
Below in bold.
Step-by-step explanation:
3.1.
In ascending order:
18 20 36 36 45 48 51 54 77 81
3.2
Mean =sum / 10 =
466/10
= 46.6.
Range = 81 - 18 = 63.
3.4
Mode = 36. ( mode is most frequent occurring mark)
3.5.
24 + A + 21 = 3* 20
A = 60 - 24 - 21
= 15.
Answer:
the person above is correct just to confirm
Step-by-step explanation:
hope this helps!
have a good day :)
The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
Answers
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
Find all solutions of the equation in the interval [0, 2). (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
10 sin^2 x = 10 + 5 cos x
Answers
The solution to the equation is x = 2π/3 and x = 4π/3
How to determine the solutionFrom the question, we have the following parameters that can be used in our computation:
10 sin^2 x = 10 + 5 cos x
Split the equation
y = 10 sin^2 x
y = 10 + 5 cos x
Next, we plot the graph of the equations to solve graphically
From the graph, we have
x = 2π/3 and x = 4π/3
HEnce, the solution is x = 2π/3 and x = 4π/3
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how would someone use the cross product property on an equation with 3 different values instead of two? I provided an example image
Answers
Using the cross product for the proff of Pythagoras theorem, the correct step is
By the cross product property, AB² = BC multiplied by BD
What is cross product propertyThe cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).
For the similar triangles, the ratio is as follows
BD / BA = BA / BC
BA² = BD * BC
and AB = BA, hence
BA² = BD * BC
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Assume that two fair dice are rolled. First compute P(F) and then P(FIE). Explain why one would expect the
probability of F to change as it did when the condition that E had occurred was added.
E: a three shows on at least one of the dice
F: the total is less than eight
...
Answers
The probability that a three shows on at least one of the dice is 11/36.
How to calculate the probability?It should be noted that of probability means the likelihood of the occurence of an event.
The probability that a three shows on at least one of the dice will be:
= 11/36
This can be seen from the table that is attached.
The probability that the total is less than 8 will be:
= 21/36
= 7/12
Here, there are 21 places where the total is less than 8.
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Find the measure of 3x-46+14=90
Answers
Answer:
Step-by-step explanation:
3x = 90 + 46 - 14
3x = 122
x=\(\frac{122}{3}\)≈40,7
Answer: 40.6 repeated
Step-by-step explanation: combine -46 and 14 which is -32. then add 32 to 90. then divide 3 on both sides. 122/3 is 40.6 repeated
6 times a number increased by 3 is 27 find the number and solve it
Answers
The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.
10x3 + 35x2 − 4x − 14
5x2(____) − 2(____)
What is the common factor that is missing from both sets of parentheses?
Answers
Answer:
The answer is "\(2x+7\)".
Step-by-step explanation:
In this question, it can measure this using the following step if you'd like to find the missing element in both types of parentheses:
\(\to 10x^3 + 35x^2 - 4x - 14 \\\\\to (5x^2-2) (2x+7)\\\\\to 5x^2 (2x + 7) - 2 (2x + 7)\\\)
So, the correct answer would be (2x + 7).
show that a) cos3∅=cos²∅-3cos∅sin²∅
Answers
The correct proof of the equation is cos3θ =cos(2θ + θ) = cos²θ - 3cosθsin²θ (Proved)
Solving trigonometry identity
Given the trigonometry identity below:
cos3∅=cos²∅-3cos∅sin²∅
We are to prove that both sides of the equation are equal.
cos 3θ = cos(2θ + θ)
Using the double angle formula for cosine, we can expand the first term:
cos(2θ + θ) = cos2θ cos θ - sin2θ sinθ
Since cos2θ = cos²θ - sin²θ
cos(2θ + θ) = cos²θ - sin²θ - 2cosθsinθsinθ
cos(2θ + θ) = cos²θ - sin²θ - 2cosθsin²θ
On simplifying, we can see that;
cos3θ =cos(2θ + θ) = cos²θ - 3cosθsin²θ (Proved)
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What function represents the amount of change given from a $10 bill, f(x), based on x, the number of bagels purchased? f(x) = 4x + O f(x) = -x + 10 Of(x) = x + 10 O f(x) = -x + 10
Answers
Answer:
the answer is c
Step-by-step explanation:hope this helps
Answer:
C or the third option, 3/4 x + 10
Step-by-step explanation:
100% correct please mark brainlist. HAVE A GREAT DAY
Peter invests £3000 for 2 years in a saving account. He was paid 3% per annum compound interest. How much did Peter have in his savings account after 2 years?
Answers
Answer:
£3182.7
Step-by-step explanation:
£3000=100%
? =3%
3×3000/100
=£90
£(3000+90)=£3090(1st year)
£3090=100%
? =3%
3×3090/100=£3182.7
Complete each equation so that it has infinitely many solution
(Dont mind the exercise underneath)
(Brainliest to correct answer)
Answers
The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.
What is equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.
Here,
12x-x+8+3x=14x+8
The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.
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300 college students were surveyed on the number of study hours they spend each week.
The results of a sample of 7 students are given in the following table:
Study Hours:
4
10
20
24
34
36
42
Z Score:
- 2.5 - 1.75
- 0.5
0
1.25
1.5
2.25
Percentile Rank:
10
25
35
40
50
75
95
By Inspection, answer the questions in GH2
Answers
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wpazsebu
The slope of the tangent line to the curve y= 3/x
at the point 5, 3/5 is-
The equation of this tangent line can be written in the form y = mx + b
where:
m is:
b is:
Answers
The tangent line at that point is:
y = (-3/25)*x + 6/5
so m = -3/25, and b = 6/5
How to find the slope of the tangent line?To find the slope at that point, we need to evaluate the derivative at that point.
y = 3/x
The derivative is:
y' = -3/x²
When x = 5, we have:
y' = -3/5² = -3/25
So that is the slope, m.
Now let's find the line.
The line must pass trhough the point (5, 3/5), then:
3/5 = (-3/25)*5 + b
3/5 = -3/5 + b
3/5 + 3/5 = b
6/5 = b
The equation of the line is:
y = (-3/25)*x + 6/5
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[3r-15] if r is less than 5
Answers
When r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.
The expression [3r-15] represents an algebraic expression that depends on the value of r. The condition given is that r is less than 5. To evaluate this expression, we substitute the value of r into the expression and simplify it.
Given that r is less than 5, let's substitute r = 4 into the expression:
[3(4) - 15]
= [12 - 15]
= -3
Therefore, when r is less than 5 and we substitute r = 4 into the expression [3r-15], the result is -3.
It's important to note that this answer is specific to the given condition that r is less than 5. If the condition changes or if r is greater than or equal to 5, the result of the expression may be different.
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The rocket that carried the Curiosity Rover to Mars
Answers
Answer:
Atlas V
Step-by-step explanation:
NASA began a historic voyage to Mars with the Nov. 26, 2011, launch of the Mars Science Laboratory mission, which carries a car-sized rover named Curiosity. Liftoff from Cape Canaveral Air Force Station aboard an Atlas V rocket occurred at 10:02 a.m. EST (7:02 a.m.
Help fsuplnghtssguiinv 1-x=16-4
Answers
Answer:
\(1 - x = 16 - 4 \\ 1 - x = 12 \\ - x = 1 - 12 \\ - x = - 11 \\ x = 11\)
it's that answer
A warehouse contains 55 boxes. Then a truck delivers a number of boxes at 12:00 p.m. and a team of workers immediately begins to unload the boxes at a constant rate. At 3:30 p.m., the warehouse contains 90 boxes. How many boxes are in the warehouse when the truck is finally empty at 8:30 p.m.?
Answers
Because of this, 33 boxes remain in the warehouse when the truck is fully empty at 8:30 p.m.: 55 + 35 + 40 - 97.
What are three rates, for instance?These are a few instances of typical rates: Speed limit, interest rate, crime, profit, birth, and mortality rates, among other statistics.
Finding the pace at which the employees are loading the boxes can be our first step.
Suppose the vehicle deliver x boxes around 12 o'clock. The workers must empty x boxes in 3.5 hours, from 12:00 pm to 3:30 pm, hence their unloading pace is x/3.5 boxes each hour.
We are aware that the warehouse goes from having 55 boxes to having 90 boxes throughout this interval. In other words, during these 3.5 hours, the workers had unloaded 35 boxes (90 - 55).
We can construct an equation again for total number of boxes the workers will unload using the emptying rate equation:
(x/3.5) × 8 = 55 + 35 + x
When we simplify this equation, we obtain:
8x/3.5 = 90
The result of multiplying all sides by 3.5 is:
8x = 315
Dividing both sides by 8, we get:
x = 39.375
We round it to x = 40 since the quantity of packages delivered by the vehicle has to be a whole number.
Around noon, a truck brings 40 boxes, which the staff unloads at such a rate of 40/3.5 = 11.43 boxes each hour. There are 8.5 hours between 12:00 pm and 8:30 pm, thus the workers unload:
11.43 × 8.5 = 97.155
The employees unload 97 cartons, rounded up to the closest whole number. There are therefore 33 boxes left inside the warehouse whenever the truck is completely empty around 8:30 p.m.
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Integer farthest from 0
Answers
If the cos 42° = one half, then the sin 48° = _____. Group of answer choices two thirds, because the angles are complementary 2 over 1, because the angles are supplementary one half, because the angles are complementary 1, because the angles are complementary
Answers
The sine of 48 Degrees is equal to one-half.
The cosine of an angle is equal to one-half when the angle is 60 degrees. Therefore, if the cosine of 42 degrees is one-half, it means that the angle of 42 degrees is complementary to the angle of 60 degrees.
Since the angles are complementary, the sine of one angle is equal to the cosine of the other angle. In this case, the sine of 48 degrees will be equal to the cosine of its complementary angle, which is 42 degrees.
Therefore, the sine of 48 degrees is equal to one-half.
The correct answer is: 1/2, because the angles are complementary.
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1. The gragh below shows indifference curves (IC₁ and IC2) and budget constraints (BC₁, BC₂, BC) for All who enjoys consuming tacos with soda. (6 points) a. Based on the Budget Constraint BC2, if Ali's budget is $28 then what would be the the prices of soda and/or taco? b. What combination of tacos and soda quantities optimizes Ali's utility? Tacos 0 1 (2,3) 2 3 (4,3) BC3 IC1 BC2 6 7 8 IC 2 9 BC1 10 Cans of Soda
Answers
I cannot interpret or analyze visual graphs. However, I can provide some general guidance on how to approach the questions:
a. To determine the prices of soda and/or taco based on the Budget Constraint BC2, you need to find the points where the budget line BC2 intersects with the axes (taco and soda quantities). The prices can be derived from the slope of the budget line, where the slope represents the rate at which one good can be traded for another.
b. To find the combination of taco and soda quantities that optimizes Ali's utility, you need to look for the point where the indifference curve (IC) is tangent to the budget line (BC). This point represents the maximum level of utility Ali can achieve within his budget constraint. It's the point where the marginal rate of substitution (MRS) between tacos and soda is equal to the price ratio of tacos to soda.
Carson wants to solve this system of equations.
y=x^2+5x−6
y=x−1
Use the drop-down menus to complete the explanation of why Carson’s work cannot be used to find the solution of the system of equations.
Answers
Carson's work is correct for solving the equations.
Given that;
Carson wants to solve this system of equations.
y = x² + 5x − 6
y = x − 1
Now, We can solve first equation as;
y = x² + 5x - 6
y = x² + 5x - 6 = 0
⇒ x = - 5 ± √5² - 4×1×- 6 / 2
⇒ x = - 5 ± √25 + 24 / 2
⇒ x = - 5 ± √49 / 2
⇒ x = - 5 ± 7/2
⇒ x = - 5 + 7 / 2
⇒ x = 2/2
⇒ x = 1
⇒ x = - 5 - 7 / 2
⇒ x = - 12 / 2
⇒ x = - 6
Hence, From (ii);
⇒ y = x - 1
At x = 1;
y = 1 - 1
y = 0
At x = - 6;
y = - 6 - 1
y = - 7
Hence, Carson's work is correct.
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82°
118°
95°
X°
Image not to scale
Calculate the missing angle x.
Answers
Answer:
x = 65
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360
x + 95 + 118 + 82 = 360
x + 295 = 360 ( subtract 295 from both sides )
x = 65
The average age of 6 men is 35 years and
the average age of four of them is 32 years.
Find the ages of the remaining two men if
one is 3 years older than the other.
Answers
Answer:
39.50
42.50
Step-by-step explanation:
Age of the 2 men = sum of the ages of the 6 men - sum of the ages of the 4 men
Average = sum of ages / total number of men
35 = sum of ages / 6
sum of ages = 35 x6 = 210
32 = sum of ages / 4
32 x 4 = sum of ages
128
210 - 128 = 82
age of the younger man = x
age of the older man = 3 + x
x + 3 + x = 82
2x + 3 = 82
2x = 82 - 3
2x = 79
x = 79/2 = 39.5
older man = 39.5 + 3 = 42.50
there is a .9987 probability that a randomly selected 27-year old male lives through a year. a life insurance company charges $154 for insuring that the male will live through the year. if the male does not survive the year, the policy pays out $100,000 as a death benefit
Answers
Using probability we know that the expected value of the insurance company is $141.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.So, the expected value of the insurance company:
Probability = 0.9987So, 1.0000 - 0.9987 = 0.0013Now, get the expected value as follows:
E(x) = 0.9987 × 154 + 0.0013(-9987)E(x) = 153.7998 + (-12.9831)E(x) = 153.7998 - 12.9831E(x) = 140.8167Rounding off: $141
Therefore, using probability we know that the expected value of the insurance company is $141.
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The complete question is given below:
There is a .9987 probability that a randomly selected 27-year-old male lives through a year. a life insurance company charges $154 for ensuring that the male will live through the year. if the male does not survive the year, the policy pays out $100,000 as a death benefit.
What is the expected value for the insurance company?