⁵
(3 A Number pattern has 75 as the first
The rule of the number pattern
Subtract 6 to get the next number
What will be the fifth number in the
sequence
9514 1404 393
Answer:
51
Step-by-step explanation:
The rule gives the sequence ...
75, 69, 63, 57, 51, 45, ...
The 5th number in the sequence is 51.
__
Alternate solution
The equation for the general term of an arithmetic sequence is ...
an = a1 +d(n -1) . . . . . for first term a1 and common difference d
Your sequence has first term 75 and common difference -6, so the equation is ...
an = 75 -6(n -1)
Then for n=5, the term is ...
a5 = 75 -6(5 -4) = 75 -24 = 51
The 5th term is 51.
A store manager buys binoculars for $45 each. He marks up the cost by 40% to get the store price. Then the store has a sale and the store price is reduced by 10%. What is the sale price of the binoculars?
Answer:
$56.70
Step-by-step explanation:
The cost plus markup is found by multiplying $45 by 1.40: $63.
With the 10% price reduction, the sale price is 0.90($63) = $56.70.
Regarding 1.40: the '1' results in the full price to the manager plus the '0.40' markup.
Find the measure of angle ABD.
Answer:
ABD=23
Step-by-step explanation:
9x-22=6x-7
3x= 15
x=5 but wait thats only what X is so
9(5)-22
45-22
ABD=23
Angle A and B are supplementary. If m∠A = 143°, find m∠B.
What is the least common multiple of the two denominators
6/8 , 4/32
Which explains why a caterpillar might look like a dangerous snake? *
(10 Points)
O A. The caterpillar and the snake have the same DNA.
B. The caterpillar and the snake have the same predators.
O C. An anti-predator adaptation has evolved in the caterpillar.
D. A behavioral adaptation has evolved in the caterpillar.
Answer:
C - An anti-predator adaptation has evolved in the caterpillar.
Step-by-step explanation:
An anti-predator adaptation has evolved in the caterpillar. By caterpillar might look like a dangerous snake.
What is adaptation?The term adaption refers to that, In biology, there are three related definitions of adaptation. First, natural selection, a dynamic evolutionary process, adapts.
The organisms to their environments, improving their evolutionary fitness. Second, it is a state that the populace has attained throughout that process.
Both predator and prey species use a variety of camouflage strategies to survive, including adopting the appearance of fearsome or unappealing creatures.
Therefore, The right option (C) is correct.
Learn more about adaptation here:
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Proportions in Similar Triangles find the value of x
Answer:
x=6
Step-by-step explanation:
A triangle has two equal sides.
a)
What is the special name for this type of triangle?
I
Answer:
isosceles triangle
Step-by-step explanation:
this is confusing, i need help
Answer:
Step-by-step explanation:
2. SV ║TU
3. SV ≅TU
7. corresponding sides of congruent Δ are congruent
8. quadrilaterals that have one set of opposite sides ║ and ≅ are parallelograms
A team of biologists captured and tagged 65 deer in a forest. Two weeks later, the
biologists captured a sample of 30 deer from the same forest and found that 5 of
them were tagged. Which proportion could be used to estimate the number of deer in
the forest?
Answer:
1/6x= 65
Step-by-step explanation:
so we can assume that 5/10= 1/6 of the deer were tagged
lets call the total number of dear x
so 1/6x= 65
x= 380
The proportion that can be used to estimate the number of deer in the forest is 5/30 = 65/390
To estimate the number of deer in the forest, we can set up a proportion using the tagged deer in the sample as a representative of the entire population.
Let's denote the number of deer in the forest as 'x'.
We know that 65 deer were tagged out of the total population. In the sample of 30 deer, 5 were tagged.
Therefore, we can set up the following proportion:
Tagged deer in sample / Total deer in sample = Tagged deer in population / Total deer in population
5 / 30 = 65 / x
Now we can cross-multiply to solve for x:
5x = 65 * 30
5x = 1950
Dividing both sides by 5:
x = 1950 / 5
x = 390
Therefore, the proportion that can be used to estimate the number of deer in the forest is 5/30 = 65/390
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A tank containing 1140.8 gallons can be emptied in 92 minutes. How many gallons is that per minute?
Answer:
Divide the volume of the tank (10,000 gallons) by the filling rate of 250 gallons/minute and you will Hours = hr x min x 3785 ml x 55 gal = 208175 = 115.6 hrs.
Step-by-step explanation:
hope it helps
PLEASE HELP ASAP!!!!! i will give brainliest
Answer:
Step-by-step explanation:
you are pretty much just factoring throughout.you can also plug in numbersor use the quadratic equationI'll be using the quadratic equation
1. 8.3 is equal to _____ tenths ______ hundredths
2. 28 is equal to ______ hundredths _______tenths.
Answer:
8.3 is equal to eight tenths 3 hundredths
28 is equal to 28 tenths.
HELP ASAPPP PLSSS WILL GIVE BRAINLIEST!
Answer:
Example 1 35 example 2 is 320 and example 3 is 56 example 4 is 160
Step-by-step explanation:
Answer:
again sorry I do not know but I think it d because it not the same as the rest.
Solve the proportion. 2x/5 = 9/15
x = 3/2
Getting x on one side of the equation:
(2/5)x = 9/15
x = (9/15)(5/2)
x = 9/6
x = 3/2
During a test drive, a self-driving car travels a distance of 50 miles in 80 minutes. How many miles will the car travel after 160 minutes?
Answer:
100
Step-by-step explanation:
80*2=160
so 50*2=100
Hannah went shopping for a new phone. The listed price of the phone was $48, but
the price with tax came to $50.40. Find the percent sales tax.
Answer:
5%
Step-by-step explanation:
50.40 - 48 = 2.4.
The sales total sales tax was $2.40.
2.4 is 5% of the original $48 that was the listed price of the phone.
F(x) =3x-10 when x=3
when x = 3,
y = -1
F(x) = 3(3) - 10 = 9 - 10 = -1
Need Help please,
Which graph is generated by this table of values?
Answer:
y=3x-6
Step-by-step explanation:
use 2 of the points for y=a×x+b
we use (2,0) and (3,3) as an example
we get
0=2a+b & 3=3a+b
so
3-0=3a+b-(2a+b)
3=a
b=-6
Cooper measured the lengths of 10 buttons to the nearest centimeter.The lengths of the buttons were 4,6,4,3,5,6,5,4,3, and 6 centimeters
2.945 to the nearest hundredth
Answer:
2.95
Step-by-step explanation:
2.945 would round up to 2.95 because when a number is followed by 5 it rounds up.
In ΔGHI, h = 10 cm, ∠G=152° and ∠H=7°. Find the area of ΔGHI, to the nearest square centimeter.
Answer:
Step-by-step explanation:
I = 180-152-7 = 21°
Law of Sines:
g = h·sinG/sinH ≅ 38.5 cm
i = h·sinI/sinH = 29.4 cm
Use Heron's Formula to calculate the area from the lengths of the sides.
semi-perimeter s = (g+h+i)/2 ≅ 39.0 cm
area = [tex]\sqrt{s(s-g)(s-h)(s-i)}[/tex]≅ 69 cm²
Hunter cut his pizza into 10 slices.he ate 4 slices of the pizza.what fraction is equivalent to the amount of pizza he ate
Answer:
4/10=2/5
Step-by-step explanation:
because
BRAINLIEST WILL BE GIVEN!! The budget for a school dance is $370.00. Decorations and refreshments cost $165.00. The band charges a fee of $100.00 plus an additional $35.00 per hours. What is the maximum number of hours the school can have the band play at the dance?
Answer:
3 hours
Step-by-step explanation:
Answer:
3 hours
Step-by-step explanation:
370-165=205
205-100=105
105/35=3
Find the greatest common factor 27x2y2, 45x2
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Choose the graph of the linear equation 24x + 64y = 384!
?
pls answer fast
Answer: A the first one
Help plz:)))I’ll mark u Brainliest
Answer:
x=20
Step-by-step explanation:
hope this helps
Answer:
X=20
Step-by-step explanation:
enjoy! (Hope u got it right)
Need help finding the slope please answer need it done today
Answer:
1. 1/2
2. 2/5
3. -1
4. 1/2
Step-by-step explanation:
slope is equal to rise/run
you take two points and count how far up and sideways
if it is down make it negative
Please help me with this. I give brainliest and give ratings. Don't answer just to take my points or your getting reported
Answer:
1/7 +5/9={1×9+5×7)/(9×7)=44/63is your answer
5t + 17 = 4( t +3 )
1/2x + 1/3x =10
1/4x + 2/5x = 39
please can someone help me with these problems i will give brainliest for the person who gives me the answers and work to go with it
Answer:
1. T = -5 2. X = 12 3. X = 60
Step-by-step explanation:
5t + 17 = 4(t + 3)
1. Distribute 4
5t + 17 = 4t + 12
2. Isolate the variable
t + 17 = 12
t = -5
1/2x + 1/3x = 10
1. Remove fractions by multiplying the equation by 6
3x + 2x = 60
2. Combine like terms
5x = 60
3. Divide by coefficient
x = 12
1/4x + 2/5x = 39
1. Remove fractions by multiplying by 20
5x + 8x = 780
2. Combine like terms
13x = 780
3. Divide by coefficient
x = 60
