Question:
Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stopped to see how much farther he has to go. If Yan made eight stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan and climbed?
4+4+4+4
8+8+8+8
(-1)(4+4+4+4)
(-8) + (-8) + (-8) + (-8)
Answer:
[tex]Total = (-8) +(-8) +(-8) +(-8)[/tex]
Step-by-step explanation:
Given
[tex]Rungs = -4[/tex] --- It is negative because he is climbing down
[tex]Steps = 8[/tex]
Required
An expression for the number of rungs climbed
To do this, we simply multiply the number of rungs by the steps taken.
[tex]Total = Rungs * Steps[/tex]
[tex]Total = -4 * 8[/tex]
This can be rewritten as:
[tex]Total = -8 * 4[/tex]
The product, when written as sum is:
[tex]Total = (-8) +(-8) +(-8) +(-8)[/tex]
What is the constant of proportionality in the table below?
Answer:
3
Step-by-step explanation:
The constant of proportionality (or the slope) is 3. Observe that if x increases by 2 (from 1 to 3), y increases by 6 from 3 to 9, so that m = rise/run = 6/2, or 3.
In circle R with QRS=90 and QR= 3 units find the length of arc QS round to the nearest hundredth
Hello, I Am BrotherEye
Answer:
27.92 units
Step-by-step explanation:
Radius (qr) = r = 16 units
<QŘS = θ = 82°
Length of an arc = (Θ / 360) * 2πr
L = (θ / 360) *2πr
L = (82 / 360) * 2π * 16
L = 0.2777 * 100.53
L = 27.917 units
L = 27.92 unit
Best Of Luck
~
BrotherEye
In right △ABC altitude overlineBD is drawn to hypotenuse overline{AC} If AD = 5 and BC = 2√ 21, find DC, BD, and ABAB.
Answer:
[tex]\overline {DC}[/tex] = 7
[tex]\overline {BD}[/tex] = √35
[tex]\overline {AB}[/tex] = 2·√15
Step-by-step explanation:
Please find attached the drawing of right triangle ABC created with MS Visio
Let 'x' represent [tex]\overline {BD}[/tex] let 'y' represent [tex]\overline {DC}[/tex], and let 'z' represent [tex]\overline {AB}[/tex], we get;
5² + x² = z²...(1)
x² + y² = (2·√21)² = 84
x² + y² = 84...(2)
84 + z² = (5 + y)²...(3)
From equation (1), we have;
x² = z² - 5²...(4)
From equation (2), and equation (4), we have;
x² + y² = 84 = (z² - 5²) + y² = 84
∴ z² = 84 - y² + 5² = 109 - y²
z² = 109 - y²...(5)
From equation (3), and equation (5), we have;
84 + z² = (5 + y)² = 84 + (109 - y²) = (5 + y)²
84 + (109 - y²) = (5 + y)²
(5 + y)² - (84 + (109 - y²)) = 0
2·y² + 10·y - 168 = 0
y² + 5·y - 84 = 0
y = (-5 ± √(5² - 4 × 1 × (-84)))/(2 × 1)
y = 7, or y = -12
We note that 'y' is a natural number, therefore, the correct option of the two options is y = 7
y = [tex]\overline {DC}[/tex] = 7
From equation (2), we have;
x² + y² = 84
x² = 84 - y² = 84 - 7² = 35
x = √35
x = [tex]\overline {BD}[/tex] = √35
z² = 109 - y²
∴ z² = 109 - 7² = 60
z = √60 = 2·√15
z = 2·√15
z = [tex]\overline {AB}[/tex] = 2·√15.
Write a number less than 50 that has at least six factors.
List at least six factors of the number you choose.
Answer:
the number can be 12
1 x 12 = 12
2 x 6 = 12
3 x 4 = 12
Ten points! Teresa's family is thinking about buying a family pass to a gym. The pass is $120 for a family of 6. Individual passes are $25 each. How much money can Teresa's family save by purchasing a family pass instead of 6 individual passes?
Answer: If Teresa‘s family bought individual passes it would be $150 so then if you subtract it would be $30. Teres’s family saved 30 dollars.
Step-by-step explanation:
They can save $30
Step-by-step explanation:
If the family pass is $120 and individual passes are $25 dollars.
6 people times $25 dollars = $150
Family pass: $125
$150-$125=$30
Stella wants to buy a $177,000 house, and she is comparing a 7/1 ARM with an interest
rate of 8 75%, amortized over 30 years, with a 7/23 balloon mortgage that has an
interest rate of 8.25%
24. What would Stella's monthly payment be for the 7/1 ARM?
Answer: Are there any answer choices? If there are I could probably help you, thanks <3
Step-by-step explanation:
can sombody solve this
Answer:
90 - 43 = x
Step-by-step explanation:
Answer: 47
Step-by-step explanation:
Dude just subtract 43 from 90, since you are given a 90 degree angle.
But if you need the equation: 43+x-7=90
add 43 and (-7) which gives us 36
new equation is now: 36+x=90
move the 36 to the other side
x=54
now plug it in x(54)-7=47
Simplify the expression: (23x + 6) - (x - 7)
Answer:
22x + 13Step-by-step explanation:
Hopes this helps. Mark as brainlest plz!please help and show the work, no links :)
help me please i love you<33
Answer:
<B = 95degrees
<D = 137 degrees
Step-by-step explanation:
From the given diagram, the sum of the adjacent sides of the trapezoid is 180degrees. Hence;
<A +<B = 180
85 + <B = 180
<B = 180 - 85
<B = 95degrees
Similarly
<C + <D =180
43 + <D = 180
<D = 180 - 43
<D = 137 degrees
which expression has a value of 16 when x=2
Answer:
Step-by-step explanation:
point sorry
Joey invests in a CD where he will earn 5.5%
simple interest. If he deposits $1,400 in the
account, what will his total, including the
interest, be after 6 months?
Find the length of side x in simplest radical form with a rational denominator.
45°
X
45°
V3
Answer:
[tex] \sqrt{6} [/tex]
Step-by-step explanation:
[tex] \sin \: 45 \degree = \frac{ \sqrt{3} }{x} \\ \\ \frac{1}{ \sqrt{2} } = \frac{ \sqrt{3} }{x} \\ \\ x = \sqrt{2} \times \sqrt{3} \\ \\ x = \sqrt{2 \times 3} \\ \\ x = \sqrt{6} [/tex]
Answer:
√6
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
√6
i neeed help with this
Answer:
Definitely point c, because the check means square root of the number. If you look up the square root of 300, then you would get 17.3205080757, in other words point c.
Step-by-step explanation:
Hope this helps!!
-1 2/3 ÷ -2 1/5
answer this and you get 60 points pls hurry
Answer:
0.75757575757
Step-by-step explanation:
The circle graph shows carla's spending. If she spent a total of $320, how much was spent on food?
Answer:
17, add up all the percentages, then subtract 100 by whatever u got, 100-83= 17
A shirt originally cost $41.10, but it is on sale for $36.99. What is the percentage decrease of the price of the shirt? If necessary, round to the nearest percent. A. 10% B. 90% C. 11% D. 8%
Answer:
10%
Step-by-step explanation:
The first step is to calculate the decrease
Original price= $41.10
New price= $36.99
= 41.10-36.99
= 4.11
4.11/41.10 × 100
= 0.1×100
= 10%
Hence the percentage decrease is 10%
We randomize a sample for all the following reasons EXCEPT:
A. to generalize our results to the population
B. to ensure a representative sample
C. to ensure the sample is not too large
D. to eliminate selection bias
Answer:
C
Step-by-step explanation:
HELP WILL MARK BRAINLY
There are approximately 3,000 bass in a lake. The population grows at a
rate of 2% per year. What is the average rate of change of the population
of bass from Year 1 to Year 4? Round your answers to the nearest tenth.
62.4 bass per year from year 5 to year 8, the average rate of change from the population was about 67.6 best per year the change of rate increase was about
what do you call a polygon with nine sides?
a.quadrilateral
b.pentagon
c.hexagon
d.nonagon
Answer: nonagon
Step-by-step explanation: quadrilaterals: a shape that has four sides
hexagon: a shape with 6 sides
pentagon: a shape with 5 sides
nonagon: a shape with 9 sides
So the answer is D
In a recent year in Tennessee, there were 55 telephones for every 100 people. What was the ratio of phones to people?
Answer:
11:20
Step-by-step explanation:
Telephone: People
55:100
divide both sides by 5
11:20
Blake collects stamps. He collected a total of 175 stamps. If 72% of the stamps he collected were
foreign, how many other stamps did he collect?
Blake collected stamps that were not foreign.
(Type a whole number.)
Answer: 49
Step-by-step explanation:
If 72% of the stamps he collected were
foreign, the percentage of the other stamps will be: = (100% - 72%) = 28%
Since the total number of stamps collected are 175, the number of other stamps collected will be:
= 28% of 175
= 28% × 175
= 28/100 × 175
= 0.28 × 175
= 49
Therefore, he collected 49 other stamps that were not foreign
Answer:
answer is c
Step-by-step explanation:
What is the MODE of the data - (12, 8, 6, 12, 16, 12) *
help plsssss
Answer: Mode = 12
Explanation: The mode is the most frequent value, so it is the value that shows up the most. In this case, that would be the value "12" since it shows up three times (while the other values only show up once).
Answer:
12
Step-by-step explanation:
For future reference mode means MOST. So in this data, number 12 is repeated the most. That would mean the MODE is 12.
Good Luck!!!
answers are
60m cubed
360m cubed
1130m cubed
2260m cubed
Answer:
≈ 1130 m³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
Here r = 6 and h = 10 , then
V = π × 6² × 10 = π × 36 × 10 = 360π ≈ 1130 m³
which of the following is equivalent to the expression below when x >0?
Answer:
C
Step-by-step explanation:
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Remington Company purchased office equipment for use in the business with an invoice price of $28,000. The company paid $1,500 to have the equipment delivered and another $500 to have it installed. The company paid cash for the transportation and installation costs and signed a note for the invoice price of the new equipment.
Help I don’t know how to do this
Answer:
y = 140°
Step-by-step explanation:
we know that sum of two opposite interior angles are equal to one exterior
=> y = 120° + 20°
=> y = 140°
hope it helps
please help me answer this
Answer:
Angle 3 is 113°
Step-by-step explanation:
Angles 2 & 3 is supplementary, so it equals 180°. Subtract 67 from 180 and you get 113. DUH.
Good Luck!!
Answer:
113°
Step-by-step explanation:
6 & 2 make a 180 ° angle
180-67 = 113
113° = angle 6
angle 6 is equivalent to angle 3
what is the cost of 20pens is rs 1200,what is the cost of one pen
Answer:
rs 60
1200/20=60......