The expression representing the given statement is 7×(6+3)-(4÷2). Option A is correct.
Given the statement is Multiply 7 by the sum of 6 and 3, and then subtract the quotient of 4 and 2.
Firstly, we will break the statement in two parts that is Multiply 7 by the sum of 6 and 3 and second part is subtract the quotient of 4 and 2.
Multiply 7 by the sum of 6 and 3 means there is addition sign between 6 and 3 and the addition of 6 and 3 is multiply with 7, we get
7×(6+3) ......(1)
subtract the quotient of 4 and 2 means 4 is divisible by 2 and this is subtract means there is a minus sign, we get
-(4÷2) .....(2)
Combine equation (1) and (2), we get
7×(6+3)-(4÷2)
Hence, the expression which represents the given statement Multiply 7 by the sum of 6 and 3, and then subtract the quotient of 4 and 2 is 7×(6+3)-(4÷2).
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Find the value of x.
Answer:
17
Step-by-step explanation:
i think its the right answer
Suppose the probability that the instructor asks Sam, one of your classmates, is 0.05 and the probability that she/he asks John, another student in your class, is 0.07. What is the probability that the instructor asks one of these two students
The probability that the instructor asks one of Sam and John whose probabilities of being asked are as indicated in the task content is; 0.12.
What is the probability that the instructor asks one of these two students?It follows from the task content that the probability that Sam is being asked is; 0.05 while that for John being asked is; 0.07.
Consequently, we may conclude that the probability of either of the two classmates being asked the question in discuss is; the sum of the probabilities and hence, we have;
P(Sam or John) = 0.05 + 0.07
= 0.12.
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Suppose that the sum of the three vectors u, v, and w shown in the figure is the zero vector. If w = 10 find u and v.
a. The value of v is 9.2
b. The value of u is 9.9
What are vectors?Vectors are physical quantities that have both magnitude and direction
How to find the value of vectors u and v?Since we have vectors
u at 70° to the x-axis v at 47° to the x-axis and w = 10 at 15° to the x-axis,We resolve them into component form
So, u = -(ucos70°)i - (usin70°)j
u = -(0.3420u)i - (0.9397u)j
v = -(vcos47°)i + (vsin47°)j
v = -(0.6820v)i - (0.7314v)j
w = (wcos15°)i + (wsin15°)j
w = (0.9659w)i + (0.2588w)j
w = (9.659)i + (2.588)j
Since the sum of the three vectors is zero, we have that
u + v + w = 0
u + v = -w
So,
-(0.3420u)i - (0.9397u)j + [-(0.6820v)i - (0.7314v)j] = -[(9.659)i + (2.588)j]
-(0.3420u)i - (0.9397u)j -(0.6820v)i - (0.7314v)j = -(9.659)i - (2.588)j]
-(0.3420u)i -(0.6820v)i - (0.9397u)j - (0.7314v)j = -(9.659)i - (2.588)j]
-[0.3420u + 0.6820v]i - [0.9397u + 0.7314v]j = -(9.659)i - (2.588)j
Equating i components, we have
-[0.3420u + 0.6820v]i = -9.659i
0.3420u + 0.6820v = 9.659
Dividing through by 0.3420. we have
u + 1.994v = 28.242 (1) and
Also, equating j components, we have
- [0.9397u + 0.7314v]j = -2.588j
0.9397u + 0.7314v = 2.588
Dividing through by 0.9397 we have
u + 0.778v = 2.754 (2)
a. The value of v
Subracring equation (2) from(1),we have
u + 1.994v = 28.242 (1)
-
u + 0.778v = 2.754 (2)
2.772v = 25.488
v = 25.488/2.772
v = 9.19
v ≅ 9.2
The value of v is 9.2
b. The value of uSubstituting v into (1), we have
u + 1.994v = 28.242 (1)
u + 1.994(9.19) = 28.242
u + 18.325 = 28.242
u = 28.242 - 18.325
u = 9.917
u ≅ 9.9
The value of u is 9.2
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Simplify Negative 3 over 2 divided by 9 over 6. −4 −1 4 1
Answer:
Step-by-step explanation: -3/2 divided by 9/6
= -3/2 multiply (to divide fractions we multiply by their recipical) 6/9
Then, simplify
= -3/3 = 1
Answer: -1
Hope this helps lol
The simplified result is -1. The correct option is b.
Given that:
Expression, -3/2 ÷ 9/6
To solve the given expression, follow as:
Rewrite the division as multiplication by the reciprocal of the second fraction.
-3/2 ÷ 9/6 = -3/2 × (6/9)
Now, simplify the fractions:
-3/2 × (6/9) = -3/2 × (2/3)
-3/2 × (6/9) = - (3 × 2)/(2 × 3)
-3/2 × (6/9) = -6/6
Finally, the simplified expression is -6/6. However, further simplify it by dividing the numerator and denominator by their greatest common divisor, which is 6:
-6/6 = -1
So, the simplified result is -1. The correct option is b.
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Complete question:
Simplify Negative 3 over 2 divided by 9 over 6.
a. −4
b. −1
c. 4
d. 1
Will give brainliest !!
Type the correct answer in the box.
Which trigonometric expression can be used to find value of x? Replace a and b with the correct values.
(trigonometry)
Answer:
x = 12cos(35)
Step-by-step explanation:
Well you have hyp and adj, meaning cosine. and u have the angle and need the adjacent, so side(cos(theta)).
12cos(35).
A coin is flipped, and a number cube is rolled. What is the probability of getting heads on the coin and a number less than 3 on the number cube?
a.one eighth
b. one sixth
c. one fourth
d. one half
=============================================================
Explanation:
The probability of getting heads is 1/2 because there's one side we want out of two sides total
The probability of getting less than 3 is 2/6 = 1/3 since we have two sides we want (rolling a "1" or a "2") out of six sides total.
Multiply the two mentioned fractions: 1/2 times 1/3 = 1/6
1/6 can be written as "one sixth", but I prefer the first format better since it's shorter.
---------------
If you are a visual learner, you can make a table with 2 rows and 6 columns, or vice versa (6 rows and 2 columns). The order doesn't matter.
The two rows represent the events Heads or Tails. The 6 columns show the different outcomes on the number cube. We have 6*2 = 12 different outcomes of rolling a die and flipping a coin.
Of those 12 outcomes, shade in 2 boxes to represent getting heads and either a "1" or "2". Refer to the diagram below.
We have 2 shaded rectangles out of 12 total to get 2/12 = 1/6
The visual representation of a table like this may help show why we multiplied the fractions 1/2 and 1/3 to get the answer. Hint: think of area = length*width.
The probability of getting heads on the coin and a number less than 3 on the number cube is 1/6, Option A is correct.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
A coin is flipped, and a number cube is rolled.
We need to find the probability of getting heads on the coin and a number less than 3 on the number cube.
The probability of getting heads when flipping a coin is 1/2
The probability of getting less than 3 is 2/6 = 1/3 since we have two sides
Now the probability of getting heads on the coin and a number less than 3 on the number cube
The product of 1/2 and 1/3
1/2×1/3
1/6
Hence, the probability of getting heads on the coin and a number less than 3 on the number cube is 1/6, Option A is correct.
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Val’s whole-house central air conditioner uses 2,500 watts when running. Val runs the AC 7 hours per summer day. Electricity costs (18 cents)/(1 kilowatt-hour). How much does Val’s AC costs to run for a summer month of 30 days?
The total cost to run Val’s AC costs for a summer month of 30 days is $94.5.
Cost of electricityQuantity of electricity used in kilowatts
1000 watts = 1 kilowatts
2,500 watts = 2.5 kilowatts
Number of hours Val runs AC per day = 7 hoursNumber of days = 30 daysCost of electricity = $0.18 kilowatts per hourCost of Val’s AC to run for a summer month of 30 days = Quantity of electricity used × Number of hours Val runs AC per day × Number of days × Cost of electricity
= 2.5 × 7 × 30 × 0.18
= $94.5
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What is the answer I need help!
If the hypotenuse is c=a√2, then 6=a√2. In inches, what is the value of a?
The value of a is 3√2 inches if it is given that the hypotenuse is c = a√2 and 6 = a√2. This can be obtained by using Pythagoras' theorem.
Calculate the value of a:This question can be solved using Pythagoras' theorem,
If in a right angled triangle, hypotenuse is the longest side of the triangle and always opposite to the angle 90°, height and base are the two shorter sides which are adjacent to the angle 90°.
If hypotenuse = c, height = a and base = b then,
⇒ hypotenuse² = height² + base²
⇒ c² = a² + b²
Here in the question it is given that,
Hypotenuse of the triangle is c = a√2 6 = a√2 in inches ⇒ c = 6 Height and base is equal and both has the value of a ⇒ height = a and base = aBy using the Pythagoras' theorem we can write that,
⇒ hypotenuse² = height² + base²
⇒ 6² = a² + a²
⇒ 36 = 2a²
By dividing both sides of the equation by 2,
⇒ 18 = a²
⇒ a² = 18
By taking square on both side of the equation,
⇒ a = 3√2 inches
Hence the value of a is 3√2 inches if it is given that the hypotenuse is c = a√2 and 6 = a√2.
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The function f(x)=58(1.6)x represents the possible bird population in a park x years from now. Each year, the expected number of birds is ____the number the year before.
Answer:
1.6 times or 60% more than
Step-by-step explanation:
The question seems to be asking about the growth factor in the given exponential function.
Exponential functionA generic exponential function will have the form ...
quantity = (initial value) × (growth factor)^(number of intervals)
Comparing this form to the given formula ...
f(x) = 58 × 1.6^x
we see the "growth factor" is 1.6. This is the multiplier from one interval (year) to the next.
Each year the expected number of birds is 1.6 times the number the year before.
__
Additional comment
A growth factor is sometimes expressed in terms of a growth rate, usually a percentage.
growth factor = 1 + growth rate
1.6 = 1 + 0.60 = 1 + 60%
The growth rate of this bird population is 60% per year. Each year, the population is 60% more than the year before.
Answer: 1.6
Step-by-step explanation:
Is
7 3
a proper, an improper, a mixed number, or a decimal fraction?
a proper fraction
an improper fraction
a mixed number
a decimal number
Answer: an improper fraction
Step-by-step explanation: An improper fraction is a fraction that is larger than 1 7/3 is larger than one because 7, the numerator is larger than the denominator so 7/3 is an improper fraction
1. Graph the linear function f(x) = -2x + 1
Answer: The slope is -2 and the y-intercept is (0,1)
Step-by-step explanation:
Use the number line to find each measure
1. 2. 3. 4. 5. 6.
Essentially just count the tick marks between the two letters.
JL= 5
JK= 3
KP= 9
NP= 2
JP= 12
LN= 5
The asked lengths are from the number line:
JK = 3, JL = 5, KP = 9, NP = 2, JP = 12 and LN = 5.
Given that is a number line we need to find the asked values,
1. JK =
K = -4 and J = -7
So, JK = -4-(-7)
JK = -4+7
JK = 3
2. JL =
J = -7 and L = -2
So, JL = -2-(-7)
JL = -2+7
JL = 5
3. KP =
K = -4 and P = 5
So, KP = 5-(-4)
KP = 9
4. NP =
N = 3 and P = 5
So, NP = 5-3
NP = 2
5. JP =
J = -7 and P = 5
So, JP = 5-(-7)
JP = 12
6. LN =
L = -2 and N = 3
So, LN = 3-(-2)
LN = 5
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Cos(11*)cos(19*) - sin(11*) sin(19*)
Write the expression as a function of one number then find it’s exact value.
Answer:
√3/2
Step-by-step explanation:
This is compound angle of cosine
cos(11+19)
=cos(30)
=√3/2
There is a set of 12 cards numbered 1 to 12. A card is chosen at random. Event A is choosing a number less
than 6. Event B is choosing a number divisible by 3. A diagram is given below.
(Can you help with #4 if you know it:)
The number of permutations of picking 4 pens from the box is 30.
There are six different unique colored pens in a box.
We have to select four pens from the different unique colored pens.
We have to find in how many different orders the four pens can be selected.
What is a permutation?A permutation is the number of different arrangements of a set of items in a particular definite order.
The formula used for permutation of n items for r selection is:
[tex]^nP_r = \frac{n!}{r!}[/tex]
Where n! = n(n-1)(n-2)(n-3)..........1 and r! = r(r-1)(r-2)(r-3)........1
We have,
Number of colored pens = 6
n = 6.
Number of pens to be selected = 4
r = 4
Applying the permutation formula.
We get,
= [tex]^6P_4[/tex]
= 6! / 4!
=(6x5x4x3x2x1 ) / ( 4x3x2x1)
= 6x5
=30
Thus the number of permutations of picking 4 pens from a total of 6 unique colored pens in the box is 30.
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Which function has the greatest y-intercept?
Answer:
Second one from the left
Answer:
b
Step-by-step explanation:
edg 22'
The human eye contains approximately 9.1 x 10^7 rod cells and 4.5 x 10^6 cone cells . Samuel subtracts 9.1-4.5 and says there are about 46,000,000 more rod cells than cone cells in the human eye . Use the drop - down menus to explain why Samuel is incorrect
Samuel is incorrect because he didn't subtract the power of the numbers.
How many more rod cells are there?The number of rod and cone cells in the human eye is written in scientific notation. Scientific notation is used in expressing large numbers in smaller numbers. To write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10. For example, 1 x 10² is equivalent to 100
(9.1 x 10^7) - (4.5 x 10^6)
= (9.1 - 4.5) x 10^(7 - 6)
4.6 x 10 = 46
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In a village the cases of a particular infectious disease have been exponentially decreasing at a rate of 95% per year since the pople started receving the vaccine. If there were 200 cases in the village to start with, predict the number of cases after 2 years. First complete the equation:
Remaining amount=
The number of cases after two years is 221.
What is the number of cases after two years?As a result of the disease, the population of the village would decrease by 95% per year. The number of cases at the village is function of the rate of infection, the number of years and the beginning number of cases.
The exponential function that can be used to represent this situation is:
FV = P( 1 + r)^t
FV = Future value P =beginning number of casesR = rate of increase in the number of cases : 100% - 95% = 5%t = timeFV = 200 (1.05)^2 = 221
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On the grid draw y = 4x - 5 for values of c from -2 to 2
Step-by-step explanation:
shown above but I need words so
Find the equation of the line parallel to y equals 1 half x plus 2 that passes through the point (4, 5) in slope-intercept form.
Answer: [tex]y=\frac{1}{2}x+3[/tex]
Step-by-step explanation:
We can solve this by using the point-slope form, which can help get the equation of a line given the slope of the line and a point on the line. Slope-intercept form is the form [tex]y=mx+b[/tex], and we can convert from point-slope form to this with simple algebra.
The point-slope form is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope of the line, and [tex](x_1,y_1)[/tex] is the point.
We know that the line is parallel to [tex]y=\frac{1}{2}x+2[/tex], which means it will have the same slope. The slope of this line is [tex]\frac{1}{2}[/tex], so the slope of any line parallel to it will also be [tex]\frac{1}{2}[/tex].
[tex]y-5=\frac{1}{2}(x-4)\\y-5=\frac{1}{2}x-2\\y=\frac{1}{2}x+3[/tex]
Sims waist is 30 inches. He wants to put on more weight and is hoping to gain enough weight to increase his waist size by 8%. How many inches does he want his waist to be?
Sim wants to increase his waist size to 32.4 inches.
How many inches does Sim want his waist to be?Sim wants the increase to be 8% of 30 inches.
The amount of increase Sim wants in his waist size exists
8% × 30 inches.
= 0.08 × 30 inches.
= 2.4 inches.
Adding the wanted increase to his present size would create Sim's waist size to be
30 in + 2.4 in = 32.4 inches.
Sim wants to increase his waist size to 32.4 inches.
Therefore, the correct answer is 32.4 inches.
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what fraction of four weeks is 8 days
Answer:
For weeks are 28 days, so the fraction is 28/8= 3,5 and the fraction is 7/2
help please.
Malaysia police traffic department claims that 54% of fatal car accidents are caused by driver error. A researcher studies 30 randomly selected accidents and founds that 14 were caused by driver error. Using a = 0.05, is that Malaysia police traffic department's statement is true?
Answer:
The Malaysia police departments statement was true, because 14/30 is extremely close to 54% (roughly 15.5/30).
Type: Probability
Please rate this answer based on how helpful it was!5
1
The measure of Z1 =
O 55
O62.5
110
5
Answer: 55
Step-by-step explanation:
Congruent angles intercept congruent chords, so since the circumference of a circle is 360 degrees, the arc angle 1 is inscribed in measures 110 degrees.
So, by the inscribed angle theorem, angle 1 measures 55 degrees.
Congruent angles intercept congruent chords, so since the circumference of a circle exists 360 degrees, arc angle 1 exists inscribed in measures 110 degrees.
So, by the inscribed angle theorem, angle 1 measures 55 degrees.
What are congruent angles?Congruent angles exist as two or more angles that exist identical to each other. Therefore, the measure of these angles exists equivalent to each other. The kind of angles does not create any distinction in the congruence of angles, which implies they can be acute, obtuse, exterior, or interior angles.
The Inscribed Angle Theorem states that the measure of an inscribed angle exists half the measure of its intercepted arc. Inscribed angles that intercept the exact arc exist congruent. This exists named the Congruent Inscribed Angles Theorem and exists shown below.
∠ A D B and ∠ A C B intercept, so m ∠ A D B = m ∠ A C B.
Congruent angles intercept congruent chords, so since the circumference of a circle exists 360 degrees, arc angle 1 exists inscribed in measures 110 degrees.
So, by the inscribed angle theorem, angle 1 measures 55 degrees.
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Solve for the following equation
9/4x + 1/3 = 5/2x
Answer:
3/4
Step-by-step explanation:
plug values in for x till you get it right
Sarah is spending the day at a state fair. While at the fair, she can play games or ride rides. When Sarah arrives at the fair, she purchases 15 tickets and wants to use all of the tickets that she purchases. Playing a game at the fair requires three tickets, and riding a ride at the fair requires six tickets. To make her trip to the fair worthwhile, Sarah decides she must participate in seven activities at the fair.
Sarah requires the purchase of additional 12 tickets to ensure her participation in the seven activities at the fair.
How are the additional (missing) tickets determined?The additional tickets required by Sarah can be determined as follows:
Number of tickets purchased initially = 15
Number of tickets for playing a game = 3
Number of tickets for riding a ride = 6
Sarah can play five (5) games with 15 tickets (15/3).
Sarah can then purchase 12 additional tickets (6 x 2).
The later action enables Sarah to participate in 5 games and 2 rides, making it a total of 7 activities.
Thus, by purchasing additional 12 tickets, Sarah can participate in 5 games and 2 rides, making it a total of 7 activities.
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Question Completion:How many more tickets does Sarah require to ensure her participation in the seven activities at the fair?
The ratio of Sadias age to her fathers age is 3:5. The sum of their ages is 96. What is Sadias age.
Answer:
36 years old
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
sum the parts of the ratio , 3 + 5 = 8
divide the sum of their ages by 8 to find the value of one part of the ratio
96 ÷ 8 = 12 ← value of 1 part of the ratio , then
3 parts = 3 × 12 = 36 ← Sadias age
Evaluate: 15 x 105 i need help
Answer:
1575
Step-by-step explanation:
105
× 15
525 ( First multiply 105 by 5 )
+1050 ( Then multiply 105 by 1. Remember to place a 0 below 5 )
( It is very important to write each and every number in a
straight line)
1575 ( Now add them )
∴ 105 × 15 = 1575
Solve -7(m-1)= -(3m-1)
Please give work
Answer:
m = 3/2
Step-by-step explanation:
-7(m-1)= -(3m-1)
-7m + 7 = -3m + 1
-4m = -6
m = 3/2
Check.
-7(m-1)= -(3m-1)
-7(3/2 - 1) = -(3*3/2 - 1)
-7(1/2) = -(4.5 - 1)
-3.5 = -3.5
Use the distributive property to multiply −7 by m−1.
−7m+7=−(3m−1)To find the opposite of 3m−1, find the opposite of each term.
−7m + 7 = −3m −( − 1 )The opposite of −1 is 1.
−7m + 7= −3m + 1Add 3m to both sides.
−7m + 7 + 3m = 1Combine −7m and 3m to get −4m.
−4m + 7 = 1Subtract 7 from both sides.
−4m = 1 − 7Subtract 7 from 1 to get −6.
−4m = −6Divide both sides by −4.
m = -6/-4Reduce the fraction -6/-4 to its lowest expression by extracting and canceling −2.
Answer: m=3/4 ✅
Two trains leave towns 664 miles apart at the same time and travel toward each other. One train travels 16 mih faster than the other. If they meet in 4 hours, what is the rate of each train?
Answer:
I think that I am right. One train is traveling at 75 mph and the other train is traveling at 91 mph
Step-by-step explanation: