Answer: We can set up the formula: 2L +2W = 110. We can also set up length as 2x+1 and width as x so plug this in: 2 (2x+1)+2x=110. Expanded to: 4x+2+2x=110. Rewritten as: 6x=108.
Step-by-step explanation:
27. Representative Sample? You want to determine the average number of classes skipped by
first-year students at a small college during a particular semester. State whether each of the
following samples is likely to be representative and explain why or why not.
Sample 1: 100 first-year students who belong to a sorority or fraternity
Sample 2: 100 first-year students who play a varsity sport
Sample 3: The first 100 first-year students whom you meet at the student union
Sample 4: 100 first-year students taking honors humanities,, courses
A sample is said to be representative if the selection made form have population is free of bias. Evaluating the selection criteria listed above :
Sample 1 will not likely be representative as students who do not belong to either a sorority or fraternity are automatically exempted from the selection. Sample 2 will not likely be representative because not all students play a varsity sport, hence students who do not play a varsity sport won't have a chance of being selected. Sample 3 is a convenience sampling technique, they often exhibit sampling bias hence, sample 3 is not representative of the population. Sample 4 will not likely be representative as students taking other courses aside humanities have no chance of being selected.Therefore, all the sampling methods are not representative of the population of first year student.
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What is the value of x? show all your work
Answer:
x or AB = 9
Step-by-step explanation:
Use Pythagorean Theorem to solve for missing side.
Pythagorean Theorem: a² + b² = c²
Plug our sides in to get AB² + BC² = AC²
We are solving for AB so we arrange the equation to get:
AB² = AC² - BC²
Solve for AB:
AB² = (√117)² - (6)²
AB² = 81
AB = 9
x or AB = 9
Dilate Triangle ABC so it's scale factor is 3 and the center of dilation is the origin.
A(1,1)
B(3,1)
C(2,3)
Step-by-step explanation:
Dilation :
the scale factor is 3 and the center of dilation is the origin.
A(1,1) => A'(3, 3)
B(3,1) => B'(9, 3)
C(2,3) => C'(6,9)
The transformations A(1,1) → A'(3, 3), B(3,1)→ B'(9, 3), and C(2,3) → C'(6,9) represents a dilation centered at the origin.
What is a transformation?On the coordinate plane, you may dilate figures. The origin is frequently utilized as the center of dilatation. If you are distorting a figure centered at the origin, you may find the points in the image by multiplying the coordinates of the points in the preimage by the scale factor.
As per the given question,
We have the scale factor i.e. 3 multiplying the coordinates of the points (x, y) for the center of dilation is the origin.
A(1,1) → A'(3, 3)
B(3,1)→ B'(9, 3)
C(2,3) → C'(6,9)
Thus, the transformations A(1,1) → A'(3, 3), B(3,1)→ B'(9, 3), and C(2,3) → C'(6,9) represents a dilation centered at the origin.
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Rewrite the fraction 1/6 as a division expression with the same numbers.
9514 1404 393
Answer:
1 ÷ 6
Step-by-step explanation:
1/6 is a division expression. It means "one divided by six."
The slash (/) can be replaced by the "divided by" symbol (÷), if you like.
1/6 = 1 ÷ 6 . . . . means "one divided by six"
Last month, Donovan ran 48 miles. James ran m miles. Donovan ran 3 times as far as James. Which equation can be used to find m, the number of miles James ran?
Answer:
45
Step-by-step explanation:
78
Write 47/11 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats
-48 divided by what equals 6
Answer: the answer is -8
Step-by-step explanation:
In the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5). Which is the equation of the line? A) y = 1 2 x + 3 B) y = 2x + 3 C) y = 1 2 x − 4 D) y= 2x − 4
The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, in the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5).
We know that, the formula to find the slope of a line is m=(y2-y1)/(x2-x1)
Substitute (x1, y1)= (0, 3) and (x2, y2)= (4, 5) in slope formula, we get
= (5-3)/(4-0)
= 2/4
= 1/2
Now, substitute m=1/2 and (x, y)=(0, 3) in y=mx+c, we get
3=1/2(0)+c
c=3
Put m=1/2 and c=3 in y=mx+c, we get
y=1/2 x+2
The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.
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Mrs. Sampson bought 8
packages of clay for a total of $32
for an upcoming art project. At
this rate, how much would 14
packages cost?
Answer:
$56
Step-by-step explanation:
cost of 8 packages of clay = $ 32
cost of 1 package of clay = 32 / 8 = $4
cost of 14 packages = 14*4 = $ 56
PLS HELP! Will give brainliest!
Answer:
yes they are inverses.
a.). x
Step-by-step explanation:
that's all
Find the unit price $3.30 for 15 bananas
Answer:
0.22 cents each
Step-by-step explanation:
14,406 minus negative
627
Answer:
15033
Step-by-step explanation:
14,406 -(-627)
Which best describes how a credit card works?
The credit card company extends you a line of credit. You then pay a small percentage of the cost of those purchases in one annual payment.
The credit card company extends you a line of credit. You purchase "stuff" and the purchase gets directly paid with funds in your checking account.
The credit card company extends you a line of credit. This is free money that you can use to purchase the "stuff" that you need.
The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.
Answer:
D
Step-by-step explanation:
The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.
This is the only one that makes sense because of the last sentence which you have the choice to pay in full or a minimum payment
The option that best describes how a credit card works is D. The credit card company extends you a line of credit. You purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.
It should be noted that a credit card company typically extends a line of credit to an individual. Then the individual can purchase "stuff" and then have the choice to pay the balance in full or a minimum payment each month.In conclusion, the correct option is D.
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Find the equation of the line through the point (1, 16) that is parallel
to the given line. Write your final answer in slope-intercept form.
2y – 14x = 12
In slope intercept form y=mx+b, the y-intercept is located at (0,b).
a. What equation results from substituting (0,b) for (x1,y1) in the point-slope form y-y1= m(x-x1)?
b. How are the slope-intercept and the point-slope forms related?
a . When (0,b) is substituted for (x1,y1) in the point-slope form y-y1=m(x-x1). the result is__
( Type an equation )
Please Help asap
Step-by-step explanation:
a. Substituting (0,b) into the point-slope form, we get y = mx + b. Plug in 0 to the x1 value and plug in b into the y1 value. Add b to both sides and you should get y = mx+b.
b. Slope-intercept shows how to get specific x or y values at a point if three of the four variables (y, m, x, or b) are known. Point slope form is used mainly when finding the slope from two distinct points. (Later, you'll learn it's importance in the definition of a derivative :).)
c. y = mx + b. Refer to a.
Answer:
a) y-b=m(x-0)
b) (x1, y1) , point-slope, y, slope-intercept
Explanation
find the value of x
[tex]x[/tex]
70°
Step-by-step explanation:
because AB//CD value of x is :
x = 30° + 40°
x = 70°
A triangle has side lengths of (5.9d – 1.1f) centimeters, (3.4d – 9.1g)
centimeters, and (8.1g – 9.3f) centimeters. Which expression represents the
perimeter, in centimeters, of the triangle?
Answer: 9.3d−g-10.4f
Step-by-step explanation:
Me.Ramirez divid 12 frogs
Answer: my last names Ramirez!
Step-by-step explanation:
which one is greater 16,400 or 1.64 times 10 to the 4th power.
Sorry it is confusing.
Answer: its the same amount
Step-by-step explanation:
What is the x-intercept of this equation: 6x + 2y = -8
Answer:
4, 0
Step-by-step explanation:
Answer:
[tex](\frac{-4}{3}, 0)[/tex]
Step-by-step explanation:
The x-intercept of any equation is the point where [tex]y=0[/tex].
Aha! We plug in [tex]y=0[/tex] into the equation to get [tex]6x+2(0)=-8[/tex], which gives [tex]6x=-8[/tex], which gives [tex]x=\frac{-8}{6}[/tex] which gives [tex]x=\frac{-4}{3}[/tex].
So, our answer is [tex]\boxed{(\frac{-4}{3}, 0)}[/tex] and we're done!
currently get paid $12.00 an hour and I really want to make an extra $300.00 by working overtime. I'll need to work __________ extra hours
Answer:
25
Step-by-step explanation:
300/12 = 25
1. Which equation is equivalent to the equation 6x + 9 = 12?
A. x + 9 = 6
B. 2x + 3 = 4
C. 3x + 9 = 6
ol
DL
D. 6x + 12 = 9
Answer:
D
Step-by-step explanation:
because I solved generalization and defined to solving for the unknowns
will summarize
NO LINKS OR ASSESSMENT!!!
Part 6: Write a rule to describe each transformation.
Answer:
(x, y) → (x, y - 3)Step-by-step explanation:
We observe a vertical shift.
The shift is negative by 3 units.
The rule for this translation is:
(x, y) → (x, y - 3)Town B is 8 miles north and 17 miles west of town A. How far are
the two towns apart?
9514 1404 393
Answer:
18.8 mi
Step-by-step explanation:
The Pythagorean theorem can be used to find the straight-line distance between the towns. The distances 8 mi and 17 mi form the legs of a right triangle, whose hypotenuse is the straight-line distance.
d² = 8² +17² = 64 +289 = 353
d = √353 ≈ 18.8 . . . miles
The two towns are about 18.8 miles apart.
Serena deposits $1200 into a savings account that earns simple interest. The interest is applied to her account at the end of each year. Complete the table
Answer:
lu have to ask mss v for the question
solve for t: 2-16t=6(-3t+2)
Answer:
t = 5Step-by-step explanation:
Just let me know if you want an explanation and I will do it.
Hope this helped. A brainliest would be very much appreciated. (I need 3 brainliest so I can level up) :)
please help me with they math I wil lvote brainlyest
Answer:
Question no 3...
answer is 24
Question no 4
answer is 3.562*10^3
Write a two-column proof.
Given m<4 =35, m<1= m<2 + m<4.
Prove m<3 = 70
Answer:
given m<4 = 35° and m<1 = m<2 + m<4
prove m<3 = 70°
Statements Reasons
m<4 = 35° given
m<1 = m<2 + m<4 given
m<2 = m<4 by the vertical angles theorem
35° = 35° substitution property of equality
m<2 + m<4 = m<1 angle addition postulate
35° + 35° = 70° substitution property of equality
m<3 = m<1 by the vertical angles theorem
m<3 = 70° substitution property of equality
The two column proof for the given set of angles are:
m∠2 = m∠4 by the vertical angles theorem
m∠3 = m∠1 by the vertical angles theorem
Given data:
The measure of angle
The measure of angle m∠4 =35,
The measure of angle m∠1= m∠2 + m∠4.
Now, Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.
Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Therefore, m∠2 = m∠4 by the vertical angles theorem
m∠3 = m∠1 by the vertical angles theorem
35° + 35° = 70° substitution property of equality
Hence, the measure of angle m∠3 = 70°
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use benchmarks
3\5 + 3\17
Name:
Date:
Period:
DLD: Solving Percent Problems
1. A bakery makes different flavors of muffins. On Tuesday, the bakery made 30
chocolate muffins and 90 blueberry muffins.
What percentage of the sandwiches were chocolate? Draw a tape
diagram to show how many flavors have chocolate and how many don't.
According to the calculations made through cross multiplication, 25% of the muffins were chocolate.
Given that a bakery makes different flavors of muffins, and on Tuesday, the bakery made 30 chocolate muffins and 90 blueberry muffins, to determine what percentage of the sandwiches were chocolate, the following cross multiplication calculation must be performed:
90 + 30 = 100 30 = X 120 = 100 30 = X 30 x 100/120 = X 3000/120 = X 25 = XTherefore, 25% of the muffins were chocolate.
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