Answer:
35
Step-by-step explanation:
The first number that appears in both sequences is 35.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Now, The first sequence starts with 20 and adds 5 each time, so the first few terms are:
20, 25, 30, 35, 40, 45, 50, 55, 60, ...
And, The second sequence starts with 56 and subtracts 7 each time, so the first few terms are:
56, 49, 42, 35, 28, 21, 14, 7, 0, ...
Hence, Looking at these lists, we can see that the first number that appears in both sequences is 35.
This is the fifth term in the first sequence as,
⇒ 20 + 5 + 5 + 5 + 5 = 35
And, the fourth term in the second sequence is,
⇒ 56 - 7 - 7 - 7 - 7 = 35
Hence, the first number that appears in both sequences is 35.
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Drag and drop a phrase to make the statement true. Triangles ABC and DEF are Response area. Two triangles, ABC and DEF. For triangle ABC, angle B is eighty degrees and angle C is sixty degrees. For triangle DEF, angle D is forty degrees and angle E is eighty degrees.
Answer:
similar
Step-by-step explanation:
i took the test and it was right.
Triangles ABC and DEF specified are similar triangles by Angle-Angle Similarity.
What is Angle-Angle similarity for two triangles?Two triangles are similar if two corresponding angles of them are of same measure. It is because when two pairs of angles are similar, then as the third angle is fixed if two angles are fixed, thus, third angle pair also gets proved to be of same measure. This makes all three angles same and thus, those two triangles are scaled copies of each other. Thus, they're called similar.
Sum of all angles of a triangle is 180 degrees.
For the triangle ABC, two of its angles are of 80 and 60 degrees, let its third angle be of D degrees, then:
[tex]80 + 60 + D= 180\\D = 180 - 60 - 80 = 40\text{\: \: (in degrees)}[/tex]
Since, triangle DEF also has two of its angles as 80 degrees and 40 degrees, thus, both the triangles ABC and DEF similar.
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A local university has just received a shipment of 200 Wacom tablets from an area vendor. The probability of an Wacom tablet being defective is estimated to be 0.10. A random sample of 25 Wacom tablets is selected for testing. If three or more defective Wacom tablets are found, the entire shipment of Wacom tablets is sent back to the vendor. Find the probability that the shipment will be sent back to the vendor.
Answer:
0.4629
Step-by-step explanation:
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Number of trials, n = 25
Probability of having defective tablet greater than 3 p(x ≥ 3) ;
p = 0.10 ;
1 - p = 1 - 0.10 = 0.90
P(x ≥ 3) = P(x = 3) + p(x = 4) +.... + p(x = 25)
Using a binomial probability calculator :
P(x ≥ 3) = 0.4629
Therefore, the probability that shipment would be sent back to the vendor is 0.4629
Jose earns $24.30 per hour teaching swimming lessons.
2
How much will he earn in 7.5 hours?
Answer:
$182.25
Step-by-step explanation:
You just times the per hour to the amount of hours. Hope this helps
Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes. Fast ill give so many points
Step-by-step explanation:
Hope this helped. X axis is horizontal and Y axis is Diagonal.
Nico practiced the drums for 1.5 fewer hours than he practiced the piano. If nico practiced for 4 hours, how many hours did he practice the drums
Answer: I think it might be 3.5 hours
Step-by-step explanation: 4 - 1.5 = 3.5
I'm not 100% sure but hope this helps!
How many solutions does the following system of equations have?
y = 2x + 6
y = 4x + 12
A) One solution
B) Infinitely Many Solutions
C) No Solution
D) Two Solutions
Answer:
only one
Step-by-step explanation:
because by everymethod answer is -3
Answer:
D
Step-by-step explanation:
Plz hurry 100 points
Answer:
Step-by-step explanation:
1575 ÷ 14 = 112 remainder 7
Answer:
The manager can fill 112 bags with 7 rocks leftover
Step-by-step explanation:
The equation is 1575/14 or 1575 divided by 14. This is equal to 112 remainder 7. Therefore, the answer the manager can fill 112 bags with 7 rocks leftover.
A circle has a secant ⎯⎯⎯⎯⎯⎯⎯⎯⎯ and a tangent ⎯⎯⎯⎯⎯⎯⎯⎯⎯ that intercept outside of the circle. If ∠ is 32° and ⏜ is 206°, then determine the ⏜ and ⏜ .
do it
Answer:
54 degrees
Step-by-step explanation:
Original of lagos achii gege
Nara buys 20 ounces of dried cherries in bulk. If dried
cherries cost $0.55 per ounce, how much will she pay?
Answer:
11 dollars, is you multiply .55 by 20 its 11
Which of the following represents 104Σ6?
n=1
O (1 x 6) + (104 x 6) = 630
O (1x6) (104 x 6) = 3,744
O 6(104) = 624
O 6(104 - 1) = 618
Answer:
C. 6(104)=624
Step-by-step explanation:
edge quiz
The equivalent expression of [tex]\sum \limits^{104}_{n = 1} {6}[/tex] is 6(104) = 24
How to evaluate the sigma notation?The sigma notation is given as:
[tex]\sum \limits^{104}_{n = 1} {6}[/tex]
The above means that we add 6 in 104 places.
i.e. 6₁ + 6₂ + ................ + 6₁₀₄
The expression can be expressed using the following product
[tex]\sum \limits^{104}_{n = 1} {6} = 6 * 104[/tex]
Evaluate the product
[tex]\sum \limits^{104}_{n = 1} {6} = 624[/tex]
Hence, the equivalent expression of [tex]\sum \limits^{104}_{n = 1} {6}[/tex] is 6(104) = 24
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Solve for x
X/16=45/40=
Answer:
18 will be your answer
Step-by-step explanation:
Answer:
The answer is 18.
Step-by-step explanation:
[tex] \frac{x}{16} = \frac{9}{8} [/tex]
[tex]x = \frac{9}{8} \times 16[/tex]
[tex]x = \frac{9 \times 16}{8} [/tex]
[tex]x = \frac{144}{8} [/tex]
[tex]x = 8[/tex]
Therefor, the answer is x = 8.
Solve the following equation: 8x + 6 + 3x - 4
Please hurry.
Answer:
A
Step-by-step explanation:
x = -2
Answer:
x=-2
Step-by-step explanation:
I would put steps, but it sounds like your in a hurry, so there is the answer, if you want, I can put the steps in the comments
But yeah
If that helps, plz mark brainiest, i'm almost leveled up :3
Thanks!
If the two spinners below are spun, what is the probability that the numbers will add to more than 4?
The image of the labeled spinner isn't attached
Answer:
Kindly check explanation
Step-by-step explanation:
Answering hypothetically ;
First create a sample space using the label of the two spinners ;
Each space will be the sum of the possible number that shows up on each turn of the spinner.
From the sample space, count the number of spaces where, the sun is greater than 4, that is the required outcome ; = x
Then the total number of samples in the sole space = total possible outcomes = y
Hence,
P(obtaining a sum greater than 4) = required outcome / Total possible outcomes
= x / y
What is the answer no link I will report and banned you
Kira is building a slide for her kids. If the ladder is 9 feet tall and she wants the bottom of the slide to be 12 feet from the ladder, how long does the slide need to be?
Answer:
ayah
Step-by-step explanation:
A car was purchased for $34,000. The car depreciates by 27% of each year
a) What is the value of the car when it is 12 years old?
b) How long will it take for the car to be worth less than $100?
Answer: a) $778.67 b) 19 years
Step-by-step explanation:
The formula you would use is
[tex]a_{n}=P(1-r)^{n}[/tex]
where a is the amount
n is the length of time
P is the principle
and r is the rate in decimal form
a)
[tex]a^{12} =34,000(1-.27)^{12} \\a_{12}=34,000(.73)^{12}\\a_{12} =778.67[/tex]
b)
put your initial equation into a graphing calculator and use the table function to find that after 18 years it is worth 117 and in 19 years 86-
what are the lengths of sides a and c
Answer: a is 4 mm, c is 8 mm
Step-by-step explanation:
the 30-60-90 triangle rule: in a right triangle with 30, 60 and 90 degree angles, the adjacent side is [tex]\sqrt{3}[/tex] the opposite side, while the hypotenuse is 2 times the opposite.
the adjacent side in this case would be 4[tex]\sqrt{3}[/tex], a is opposite, and c is the hypotenuse
divide the adjacent side by [tex]\sqrt{3}[/tex] and we have the opposite side: 4
the hypotenuse is twice the opposite side, which has a value of 4. 4 times 2 is 8, which means the value of the hypotenuse is 8 mm
In a class of 10, there are 5 students who play soccer.
If the teacher chooses 2 students, what is the probability that both of them play soccer?
Answer:
Step-by-step explanation: 5/10=1/2 - if one student are chosen, who plays soccer
4/9 if then the second student are chosen, who plays soccer
1/2*4/9=2/9 the probability that both students play soccer
What are the maximum, minimum, range and mean?
I need some help with this math problem. I really appreciate it. thank you very much!
Margaret's savings account had $500 in it last month. This month it has $545.
Answer:
9% increase
Step-by-step explanation:
If F(x) = x - 5 and G(x) = x2, what is G(F(x))?
Answer:Step-by-step explanation:
G(F(x))=(x - 5)²
Paying my bills late will most likely cause my credit score to go down.
True or False
(GIVING BRAINLIEST)
Answer:
True
Step-by-step explanation:
These prisms are similar. Find the surface
area of the larger prism in decimal form,
5 m
7 m
Surface Area = 90 m2
Surface Area = [?] m2
Answer:
176.4m²
Step-by-step explanation:
scale factor = 7/5 = 1.4
area scale factor = 1.4² =1.96
90*1.96 =176.4m²
Answer: 176.4
Step-by-step explanation: (5/7)^2, cross multiply wit 90/SA, 90*49/25 = 176.4
please help me with this question!!
“Steven's mother asked him to buy 750 grams of sugar. At the supermarket, he finds that the sugar packages give the weight in kilograms. What is the amount of sugar in kilograms that Steven needs to buy?”. i DO NOT know the answer. it would be so awesome if someone could help.
Answer:
0.75
Step-by-step explanation:
there is 1000 grams in 1 kilogram so I divided 750 by 1000 to get 0.75.
Nina and Luca were told to draw a net for the three-dimensional figure shown below. Which statement about the
students' nets is true?
Answer:
d
Step-by-step explanation:
11x + x helppp plzzz
Find the pattern. What numbers come next?
50, 44, 38, 32,
A 27, 22, 17
B
24, 16, 8
C
25, 18, 12
D
26, 20, 14
Answer:
D
Step-by-step explanation:
the pattern is -6 to get the next number
What is the quotient of 1476 and 12
the original selling price for a jacket was s dollars. the selling price was then changed on two occasion by the store owner. its price is now represents by 0.85(1.4s), which expression could explain what happened to the price of the jacket?
Answer:
D
Step-by-step explanation:
A circular hot spring has a diameter of 106 meters. Over time, the diameter of the spring decreases by 2 meters. By how many square meters does the area of the hot spring decrease? Use 3.14 for
Answer:
The area decreased by 329.7 square meters.
Step-by-step explanation:
For a circle of diameter D, the area is:
A = pi*(D/2)^2
with pi = 3.14
In this case, we start with a circle of D = 106m
Then the initial area is:
A = 3.14*(106m/2)^2 = 8,820.26 m^2
After, the diameter is decreased by two meters, then the new diameter is:
D' = 106m - 2m = 104m
And the new area will be:
A' = 3.14*(104m/2)^2 = 8,490.56 m^2
The change in the area is A - A' = 8,820.26 m^2 - 8,490.56 m^2 = 329.7m^2
The area decreased by 329.7 square meters.