Answer:
5
Step-by-step explanation:
For this question it is best to find the least common denominator (LCD) for all terms. In this case that denominator is 12.
Using the LCD you would convert all of the fractions into the following equation and solve:
1 9/12 + 2/16 + __ = 7 6/12
1 11/12 + __ = 7 6/12
___ = 7 6/12 - 1 11/12
___ = 5 7/12
Suppose Derrick is an insect enthusiast who measured the body length and weight of three insects in his backyard. His data are shown in the table.
Answer:
Step-by-step explanation:
The scale factor of the corresponding sides from Figure 1 to Figure 2 is 250% . What are the possible set of dimensions of Figure 2.
The possible sets of dimensions for the corresponding sides of figure 2 would be;
= 4 in × 5 in . That is option C.
= 2 in × 10 in. That is option G.
How to determine the possible set of dimensions of Figure 2?The area of the figure 1 rectangle = 8 in²
The scale factor percentage = 200% = 250/100 = 2.5
The area of the figure 2 rectangle = 8×2.5 = 20 in²
Therefore form the options listed in the question above, the product of two dimensions that will give us 20 =
= 4 in × 5 in
= 2 in × 10 in
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Write an equation that you can use to solve for x.
Enter your answer in the box.
Fill in the blank will choose brain
Answer:
Below :)
Step-by-step explanation:
The difference of the means would be:
90 - 50 = 40
When finding difference you need to use subtraction.
The difference is 40
The MAD score is 10
"This difference is 4 times the value of the MAD of each data set."
5. GMAT scores are approximately normally distributed with a mean of 547 and a standard deviation of 95. Estimate the percentage of scores that were(a) between 357 and 737. %(b) above 737. %(c) below 452. %(d) between 452 and 737. %
Problem Statement
The question tells us that the GMAT scores are approximately normally distributed with a mean of 547 and a standard deviation of 95.
We are asked to find the percentage of scores that were:
a) between 357 and 737.
b) above 737
c) below 452
d) between 452 and 737.
Solution
a) Between 357 and 737:
\(\begin{gathered} 357\text{ is 2 standard deviations less than the mean of 547. That is,} \\ 547-2(95)=357 \\ \text{This means that 357 is }\frac{95}{2}\text{ \% from the mean}=47.5\text{ \% from 547.} \\ \\ 737\text{ is 2 standard deviations greater than the mean of 547. That is,} \\ 737-2(95)=547. \\ \text{This means that 737 is }\frac{95}{2}\text{ \% from the mean }=47.5\text{ \% from 547} \\ \\ \text{Thus the range 'Between 357 and 737' is:} \\ (47.5+47.5)\text{ \%}=95\text{ \%} \end{gathered}\)b) Above 737
\(\begin{gathered} 737\text{ is 2 standard deviations away from the mean as shown in question A.} \\ \text{Thus, the percentage of scores above 737 must be:} \\ 100\text{ \% - (50 + 47.5)\% }=2.5\text{ \%} \end{gathered}\)c) Below 452:
\(\begin{gathered} 452\text{ is 1 standard deviation from the mean.} \\ \text{Thus the percentage of scores below 452 must be:} \\ 50\text{ \% - 34\% = 16\%} \end{gathered}\)d) Between 452 and 737:
\(\begin{gathered} 452\text{ is 1 standard deviation lower than the mean 547. Thus, the percentage from 452 to 547 is 34\%} \\ 737\text{ is 2 standard deviations higher than the mean of 547. Thus the percentage from 547 to 737 is: 47.5\%} \\ \\ \text{Thus the percentage between 452 and 737 is: (34 + 47.5)\%= 81.5\%} \end{gathered}\)The ages of Edna, Ellie, and Elsa are consecutive integers. The sum of their ages is 114.
What are their ages?
x = Edna's age
x + 1 = Ellie's age
x + 2 = Elsa's age
the sum of their ages = 114
Let's set all of their ages equal to 114
x + x + 1 + x + 2 = 114
Combine like terms
3x + 3 = 114
Subtract 3 from both sides
3x = 111
Divide both sides by 3
x = 37
Edna's age = x = 37 years old
Ellie's age = x + 1 = 37 + 1 = 38 years old
Elsa's age = x + 2 = 37 + 2 = 39 years old
A rectangle has a length of 15 centimeters and a width of 7 centimeters. What is the area of the rectangle?
length= 15cm
width= 7cm
to find:area of the rectangle.
solution:area of rectangle= length × width
a= l × w
a= 15 × 7
= 105 cm^2
Answer:
105 cm²
Step-by-step explanation:
The formula to find the area of a rectangle is :
Area = length × width
Given that,
length ⇒ 15 cm
width ⇒ 7 cm
Let us solve it now.
Area = length × width
Area = 15 × 7
Area = 105 cm²
Part A: are they all right?
Part B: What is the average rate of change over the interval [-2,0] for the graph?
Answer:
yes all are corect
Step-by-step explanation:
I know becuse i did this before.
A function assigns the value of each element of one set to the other specific element of another set. All the points for the given graph are true. The average rate of change over the interval [-2,0] for the graph is 1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
PartA:
For the given graph of the function, the following points are tr,
Domain: (-3, 4]Range: (-3, 3]Increasing: (-3, -1)Decreasing (-1, 4)Positive: (-2, 2)Negative: (-3,-2), (2, 4)Part B: The average rate of change over the interval [-2,0] for the graph is the slope of the line that connects the point of x=-2 and x=0 of the given graph.
Therefore, the slope of the line as shown below in red is,
Slope = (2-0)/(0+2) = 2/2 = 1
Hence, The average rate of change over the interval [-2,0] for the graph is 1.
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If a die is rolled one time, what is the probability of getting a number greater than zero?
Answer:
If it is a fair die then it should have 6 faces, each one having a number 1-6. The probability of landing on a single number is 1/6. Because the die is fair there should be an equal probability of landing on a number 1-6 giving you a probability of 1/6. However, if the number of times rolled is changed, then the answer would be multiplied or added (depending on the question).
help////
whack is 4x4444444+74723=
Answer:
.....
Step-by-step explanation:
17852499 is ur answer ;)
Pls I don't understand
The unit rate of the relationship will be 10/3. The correct option is C.
The given equation is,
y = 10/3x + 8
The general form of an equation of the line is,
y = mx + c
here, the slope will be 10/3
Slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for a given change in the independent variable.
The slope of a line is represented by the ratio of the change in the y-axis (vertical) to the change in the x-axis (horizontal) between any two points on the line. It can also be interpreted as the rate of change of the dependent variable with respect to the independent variable.
A positive slope indicates an upward trend, while a negative slope indicates a downward trend. The slope of a line is often denoted by the letter m.
The unit relationship will be 10/3.
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amy shoots a 100 arrows at a target each arrow hits with a probability 0.01 what is the probability that one of her first 5 arrows hit the target
Answer:
0.5759
Step-by-step explanation:
The flight from Perth to London is 16 hours and 35 minutes. The time in Perth is 7 hours ahead of London. A flight leaves Perth at 8am on Wednesday. What is the time in London when the flight arrives?
Answer:
Flight arrived in london on 5 : 35 pm Wednesday
Step-by-step explanation:
Time = 16 h 35 min
Time difference = 7 h
Flight time = 8am
So
According to perth time flight reached in london is
8 am + 16 h 35 m = 8 am + ( 12 h + 4h + 35 m) =
8pm + 4h +35 = 12am + 35m = 12 : 35 am
The time difference is 7 h ,so minus this from perth time
12 : 35 am - 7h = 5 : 35 pm
Mark brainliest if you understand
Solve 3x-y=7 and 3x+y=11 using substitution method
Answer:
x = 3 ; y = 2
Step-by-step explanation
3x - y = 7
= 3x - y - 7 = 0
= 3x - 7 = y — (equation i)
Substitute (equation i) into the second equation:
3x + (3x - 7) = 11
Expand the brackets by applying the Distributive Law and bring all the like terms together:
3x + 3x - 7 = 11
= 6x - 7 = 11
= 6x = 11 + 7
= 6x = 18
= x = \(\frac{18}{6}\)
= x = 3
Substitute the calculated value of x into (equation i) to determine the value of y:
3 x - 7 = y
= 3(3) - 7 = y
= 9 - 7 = y
= y = 2
Let sin (30°)
degrees, for cos(B) = 1/2.
=
Enter the angle measure (B), in degrees
simplify the expression (x+6)^2
The simplified expression for (x+6)^2 is x^2 + 12x + 36.
The expression (x+6)^2 represents the square of the sum of x and 6. To simplify this expression, we need to use the formula for expanding a binomial squared, which is (a+b)^2 = a^2 + 2ab + b^2.
Applying this formula to our expression, we get:
(x+6)^2 = x^2 + 2(x)(6) + 6^2
Simplifying further:
(x+6)^2 = x^2 + 12x + 36
In summary, to simplify the expression (x+6)^2, we use the formula for expanding a binomial squared and simplify the resulting terms to get the simplified expression x^2 + 12x + 36.
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What is the solution to |x-2| + 3 > 17?
Ox<-12 or x > 16
Ox<-14 or x>7
O-12
O-14
Answer:
x<-12 or x>16
Step-by-step explanation:
Answer:
|x - 2| + 3 > 17
|x - 2| > 14
x - 2 < -14 or x - 2 > 14
x < -12 or x > 16
Solve for x to make A||B
Answer: x = 50
Step-by-step explanation:
In the given image, the alternate interior angles are equal. Therefore, 80 + x = 180 - 50 (since straight angles measure 180 degrees). Simplifying this equation, we get 130 + x = 180, which gives us x = 50 degrees. Thus, A||B when x = 50 degrees.
If mZMRT = 133º , then which equation can be used to find g?
Answer:
D
Step-by-step explanation:
We know that MRT = 133 which means that is the total. Angle MRN and NRT are what makes the total angle which is 133. To find what each angle is individually, we can add them both together.
(2g - 2) + (4q - 9) = 133
6q - 11 = 133
6q = 144
q = 24
Best of Luck!
D. (2g - 2)+(4g -9) = 133
Because,
Given, angle MRT = 133°
and MRN = 2g - 2 °
and NRT = 4g - 9°
and MRT = MRN + NRT .........(equation (i))
Placing values in equation (i) we get,
133° = (2g - 2)° + (4g - 9)°
=> 133 = (2g - 2) + (4g - 9)
=> (2g - 2) + (4g - 9) = 133
pls answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: -49
Step-by-step explanation: 7 x 7 = 49, but since it has the (-) symbol it will be -49.
Gas mileage is the number of miles you can drive on a a gason of gasvie
A test of a new car results in 390 miles on 20 gallons of gas How far could
you drive on 55 gallons of gas? What is the car's gas mileage?
buy 5 of
The distance you can travel on one gallon of gasoline is known as gas mileage. A new car's test drive covers 600 miles on 20 gallons of gas. 2250 miles are the unit rate.
What is mileage?Owners of cars, motorcycles, and other similar vehicles pay special attention to mileage even before making a purchase. The number of kilometers an automobile can go on a single litre of fuel or diesel is known as the mileage. The word "mileage" has many synonyms, such as "bike average," "bike mileage," "vehicle average," and "gas mileage." All of these statements, however, ultimately mean the same thing. One of the biggest costs of owning a car is the price of petrol. Since fuel prices are rising steadily around the world, car owners are feeling the burden more and more.Therefore,
600/20 = 30 miles/gallon
30mi/gal (75 gallons)
= 2250 miles
The complete question is:
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 600 miles on 20 gallons of gas.
What is the unit rate? How far can you drive on 75 gallons of gas?
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Given: Right ∆ABD with vertices A, B, and D; right ∆CBD with vertices C, B, and D
Prove: ∆ABD ≅ ∆CBD
Proof
Find the length if AD-.
AD = √(x₂ − x₁)² + (y₂ − y₁)²
= √(4-0)² + (0-0)²
= √4² = _
Find the length of DC-.
DC = √√(x₂ − x₁)² + (Y₂ − Y₁)²
= √(8 − 4)² + (0 − 0)²
= √4² = _
AD- ≅ DC- by the ______
BD- ≅ BD- by the ______ Property of Congruence
∆ABD ≅∆ DBC by the ______ Congruence Theorem
The length of AD is 4.
The length of DC is 4.
AD ≅ DC by the definition of bisector.
BD ≅ BD by the reflexive Property of Congruence.
∆ABD ≅ ∆DBC by the SAS or HL Congruence Theorem
What are the properties of similar triangles?In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
What is HL?In Mathematics, HL is an abbreviation for hypotenuse leg and it can be defined as a theorem which states that if the hypotenuse and one (1) leg in a right-angled triangle are congruent to the hypotenuse and leg of another right-angled triangle, then the two (2) triangles would be congruent.
Based on the side, angle, side (SAS) similarity and hypotenuse leg (HL) theorem, we can logically deduce that ∆ABD is congruent to ∆DBC.
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A building contractor is to dig a foundation 42 feet long, 24 feet wide, and 6 feet deep. The contractor pays $20 per load for trucks to remove the dirt. Each truck holds 8 cubic yards. What is the cost to the contractor to have all the dirt hauled away? The cost of the contractor is $ _
The foundation has the following dimensions:
42 feet x 24 feet x 6 feet
Converting to yards, and knowing that 1 yard = 3 feet, the dimensions are:
42/3 = 14 yd
24/3 = 8 yd
4/3 = 2 yd
Thus the volume of dirt to remove is:
V = 14 yd x 8 yd x 2 yd
V = 224 cubic yards
Each truck holds 8 cubic yards, so the contractor needs to pay for:
224 / 8 = 28 trucks.
He pays $20 per load truck, so the total cost is:
$20 x 28 = $560
The cost of the contractor is $560
mart math math math math
Explanation:
Segment AW bisects angle CAD.
This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.
Therefore, angle CAD = 40 degrees.
The supplement of this is angle DAX
(angle CAD) + (angle DAX) = 180
angle DAX = 180 - (angle CAD)
angle DAX = 180 - 40
angle DAX = 140 degrees
A point is chosen at random on AK what is the probability that the point will be on FI don't reduce
Answer: 3/10
Step-by-step explanation:
The probability that the point will be on FI is 3/10 if a point is chosen at random on AK the answer is 3/10.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a number line shown in the picture:
Total Number partition or gaps between each letter(between A and K):
= 10
Total number of outcomes = 10
Total number of favorable outcomes(between F and I) = 3
The probability that the point will be on FI:
By using the definition of the probability:
= favorable outcomes/total outcomes
= 3/10
Thus, the probability that the point will be on FI is 3/10 if a point is chosen at random on AK the answer is 3/10.
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Under Todd’s new cable television plan, his bill averages $63 per month. This is 140% of his average monthly bill last year when he had the basic cable package. What was his average monthly cable bill last year?
Answer:
45
Step-by-step explanation:
translation :
140% of x = $63
x = $63 ÷ 1.4
x = $45
FUN FACTS :
interesting: 100% means double that number or times 2
if a price is $20 & it increases 100% in price that means its $20 times 2 or $40
percent means per 100
cent means 100 in latin
that's why the decimal moves 2 spaces
for the 2 zeros in 100
chatgpt
Help help help math math
Answer:
Slope = 4
Step-by-step explanation:
Change in Y = 4
Change in X = 1
Slope = Δy/Δx = 4/1 = 4
what is the area of the shaded region? use 3.14 for pi
Answer:
13.8
Step-by-step explanation:
Area of square = πr²
=22/7 × 4²
=50.2
Area of square = l²
=8²
= 64
Area of shape is 64 - 50.2 = 13.8
Answer:
The answer is 13.8
Step-by-step explanation:
Yes
U(x)=x^2+9 and w(x)=sqrt x+8. Find (wu)(8) and (uw)(8)
Answer:
¿cual es la influencia que tiene la revolución cubana en el surgimiento de grupos armados en Colombia?
Step-by-step explanation:
given l m n find the value of x.
(9x+18) = (2x+19)
Answer:
Step-by-step explanation:
Not sure what "given l m n " means...
If you want the value of x in (9x+18) = (2x+19)
then
(9x + 18) = (2x + 19)
9x + 18 - 18 = 2x + 19 - 18
9x = 2x + 1
9x - 2x = 2x - 2x + 1
7x = 1
7x/7 = 1/7
x = 1/7