Answer:
D)48 × 1 6 = 8 Use the relationship between multiplication and division to explain that 8 ÷ 1 6 = 48 because 48 × 1 6 = 8.
Step-by-step explanation:
What are the coordinates of the endpoints of the midsegment for △RST that is parallel TS¯¯¯¯¯ ?
Answer:
The end points of midsegement for triangle RST are (1,3) and(4,3) which is parallel to TS.
Step-by-step explanation:
We are given that a figure of triangle RTS in which the coordinates of R(0,6) , T(2,0) and S(8,0).
We have to find the end points of midsegment for triangle RST that is parallel TS
Let AB is midsegment where A is the mid point of segment RT and B is the midpoint of segment RS of triangle RST which is parallel to the segment TS.
To find the coordinates of end point of midsegment AB using midpoint formula
Midpoint formula :[tex]x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}[/tex]
The coordinate of A
[tex]x=\frac{0+2}{2}[/tex], [tex]y=\frac{0+6}{2}[/tex]
[tex]x_1=0,x_2=2,y_1=6,y_2=0[/tex]
[tex]x=1,y=3[/tex]
The coordinates of A is (1,3).
The coordinates of mid point B
[tex]x=\frac{0+8}{2},y=\frac{0+6}{2}[/tex]
[tex]x_1=0,y_1=6,x_2=8,y_2=0[/tex]
[tex]x=4,y=3[/tex]
The coordinates of midpoint B is (4,3).
Therefore, the end points of midsegement for triangle RST are (1,3) and(4,3) which is parallel.
Write a two column proof for the following conjecture. Statements and reasons
Given: parallelogram ABCD
Prove:
The image is a rhombus, the left side from top to bottom point is D and C. From the right side is A and B.
find the slope of a line whose equation is 3X+6Y=9
To find the slope of the above equation, it is easiest to put it into slope-intercept form, y=mx + b, where the variable m represents the slope. To do this, we must isolate the variable y on the left side of the equation by using the reverse order of operations. First, we should subtract 3x from both sides of the equation.
3x + 6y = 9
6y = -3x + 9
Next, we should divide both sides of the equation by 6 to undo the coefficent of 6 on the variable y.
y = -1/2x + 3/2
Therefore, the slope of the line is -1/2 (the coefficient of the variable x in slope-intercept form).
Hope this helps!
Which of the following points lie in the solution set to the following system of inequalities?
y > −3x + 3
y > x + 2
choices:
(2, −5)
(−2, 5)
(2, 5)
(−2, −5)
1. Which ordered pairs are a solution to the equation?
y = 3x - 4
options:
(4,2)
(1, -1)
(-1, -7)
(2, 2)
2.Which ordered pairs are a solution to the equation?
y = 4 - 2x
options:
(-1,2)
(0,4)
(-1,6)
(1,6)
What is the length of BC¯¯¯¯¯ ?
Enter your answer in the box.
Answer: The required length of BC is 22 units.
Step-by-step explanation: We are given to find the length of BC from the figure.
From the figure, we note that ABC is an isosceles triangle, with AC = AB, where
AC = 2x-24, AB = x-2 and BC = x.
Since AC = AB, so we get
[tex]2x-24=x-2\\\\\Rightarrow 2x-x=24-2\\\\\Rightarrow x=22.[/tex]
Therefore, we get
BC = x = 22.
Thus, the required length of BC is 22 units.
Can someone please clearly explain and workout Q5? Much appreciated
Tony misplaced 777 stamps from his collection. He knows that each stamp of his is worth \$0.15$0.15dollar sign, 0, point, 15 and that the total value of them is now only \$5.55$5.55dollar sign, 5, point, 55.
Write an equation to represent the value of his stamp collection in terms of the number of stamps, s, that he had originally, and find the value of s.
Tony misplaced 7 stamps
Each stamp worth = $0.15
Total value of stamp now = $5.55
Let the number of stamps be 's'
Number of stamps now = s - 7 (misplaced 7 stamps)
price (number of stamps now ) = 0.55
0.15 (s - 7) = 5.55
Divide by 0.15 on both sides
s - 7 = 37
Add 7 on both sides
s = 44
Total number of stamps originally he had = 44 stamps
How do you write 760% as a fraction, mixed number, or whole number in simplest form?
A student received an 82% on an exam. If there were 50 questions on the exam, which ratio would show the number of questions answered correctly? A. 82:50 B. 25:50 C. 59:50 D. 41:50
plz plz plz help!!!!!
Which statement is true about the graphs of the two lines y = x + 2 and y = x ?
The lines are perpendicular to each other because and are opposite reciprocals of each other.
The lines are perpendicular to each other because 2 and are opposite reciprocals of each other.
The lines are neither parallel nor perpendicular to each other because and are not opposite reciprocals of each other.
The lines are neither parallel nor perpendicular to each other because 2 and are not opposite reciprocals of each other.
How can you describe the solution set of the equation 16x2 - 8x + 1 = 0?
What is the definition of principal square root in math?
Final answer:
The principal square root in math refers to the positive square root of a number. It is denoted as √x and is applicable to non-negative numbers.
Explanation:
The principal square root in math refers to the positive square root of a number. It is denoted as √x, where x is a non-negative number.
For example, the principal square root of 25 is √25 = 5 because 5 multiplied by itself equals 25.
The principal square root is only applicable to non-negative numbers, while negative numbers have no real square roots.
How to solve systems of linear equations step by step?
What is the volume in cubic feet of a greenhouse that is 20 feet long, 15 ft wide, and 10 ft high?
(1 pt) a commercial cherry grower estimates from past records that if 49 trees are planted per acre, each tree will yield 33 pounds of cherries for a growing season. each additional tree per acre (up to 20) results in a decrease in yield per tree of 1 pound. how many trees per acre should be planted to maximize yield per acre, and what is the maximum yield?
The sum of two consecutive even numbers is 38. what is the larger number?
How do you draw a skew line?
Find the quotient.
22x ^2 y ^2 ÷ 11x ^2 y ^2
0
1/2
2
2xy
The flu fighters competed against 40 brands in the chicken soup country battle of the bands. The top 15% will complete in the all virus state finals. How many bands will compete in the finals?
Answer: 6 brands will compete in the finals.
Step-by-step explanation:
Given : The flu fighters competed against 40 brands in the chicken soup country battle of the bands.
i.e. The total number of brands = 40
Also, the top 15% will complete in the all virus state finals.
[ We can write 15% as [tex]\dfrac{15}{100}=0.15[/tex] ]
It implies , the number of brands will compete in the finals is given by :-
[tex]0.15\times40=6[/tex]
Therefore, 6 brands will compete in the finals.
Plz help! 2 questions!! A machine is wrapping 18 boxes in 5 minutes. If the machine continues at the same rate, how many boxes will it rap in 25 minutes ? A.38 B.90 C.23 D.72
Chris is making lemonade. The directions say to mix 5 cups of water with 2 scoops of powdered lemonade mix. How many cups of water should he use with 2.5 scoops of fruit mix? A.6 B.6.25 C.6.5 D. 6.75
The Griffins and the Corbins live in the same city and pay the same sales tax rate, and both families made $12,000 in taxable purchases last year. If the Griffins made $73,000 and the Corbins made $29,000 last year, is the sales tax in their city an example of a regressive tax?
A.Yes, because the Corbins paid a higher percentage of their income in sales tax than the Griffins did.
B.No, because the Corbins paid a higher percentage of their income in sales tax than the Griffins did.
C.No, because the Griffins and the Corbins both paid the same sales tax rate.
D.Yes, because the Griffins and the Corbins both paid the same sales tax rate.
Answer:
The correct answer is A.
Step-by-step explanation:
A.Yes, because the Corbins paid a higher percentage of their income in sales tax than the Griffins did.
Regressive tax is applied uniformly and this causes lower-income people to pay a larger share of their income than rich people. It is not a fair way though it seems to be. Most regressive taxes are not income taxes.
Molly has to read for 100 minutes a week. On Monday she read for 20 minutes and on Tuesday she read for 35 minutes. How many more minutes does she have to read this week?
a. 35 minutes
b.40 minutes
c.45 minutes
d.55 minutes
e.65 minutes
Solve the equation for x. Round your answer to the nearest hundredth.
0.63 = log x
The value of x is:
4.27
Step-by-step explanation:
We have to solve:
logx=0.63
Taking antilog on both sides,we get
x= [tex]10^{0.63}[/tex]
⇒ x=4.2657
Hence, the value of x is:
4.27
How do you solve 18b2c-12ab3+30ab?
What is the total flow (loads per week) between department y and department z?
A company needs to locate three departments (X, Y, and Z) in
the three areas (I, II, and III) of a new facility. They want to minimize
interdepartmental transportation costs, which are expected to be $.50 per load
per meter moved. An analyst has prepared the following distances and flow
matrices:
Distances (meters):
From/TO I II III
I - 10 20
II - 10
III -
Flows (loads per week:
From/TO I II III
X - 60 90
Y 40 - 160
Z 110 140 -
What is the total flow (loads per week) between department Y
and department Z?
E. 300
Sondra lives in Nebraska and pays 5.5% in sales tax. If she just bought a belt that cost $22, what was the total amount she paid for the belt, including sales tax?
A.$12.10
B.$20.79
C.$34.10
D.$23.21
please help
5.5% = 0.055
22 * 0.055 = 1.21
22 + 1.21 = 23.21
Answer is D
Answer:
D. $23.21
Step-by-step explanation:
We have been given that Sondra lives in Nebraska and pays 5.5% in sales tax. She just bought a belt that cost $22.
The total amount paid by Sondra for the belt will be equal to cost of belt plus 5.55 of the cost of the belt.
[tex]\text{Total amount paid by Sondra}=\$22+(\frac{5.5}{100}\times \$22)[/tex]
[tex]\text{Total amount paid by Sondra}=\$22+(0.055\times \$22)[/tex]
[tex]\text{Total amount paid by Sondra}=\$22+\$1.21[/tex]
[tex]\text{Total amount paid by Sondra}=\$23.21[/tex]
Therefore, the total amount paid Sondra for belt is $23.21 and option D is the correct choice.
Students were asked to choose their favorite cafeteria lunch. The results were: pizza, chicken, chicken, taco, taco, pizza, taco, taco, taco, pizza, pizza, burger, burger, pizza and pizza. Which category had the greatest frequency?
A color printer prints 24 pages in 7 minutes. how many pages does it print per minute?
Final answer:
The color printer prints approximately 3.43 pages per minute. This is calculated by dividing the total number of pages (24) by the total printing time in minutes (7).
Explanation:
To calculate the number of pages a color printer prints per minute, we use the information provided that it prints 24 pages in 7 minutes. The calculation is a simple division problem:
Determine the rate by dividing the total number of pages by the total number of minutes.Pages per minute = Total pages printed ÷ Total minutesPages per minute = 24 pages ÷ 7 minutesCalculate the quotient to find the page rate.Pages per minute ≈ 3.43 pages per minuteTherefore, the printer prints approximately 3.43 pages per minute.