Answer:
152 logs
Step-by-step explanation:
This question is an Arithmetic progression question
A stack of logs has 17 logs on the bottom layer.
First term = a1 = 17
We are told that: each subsequent layer has 3 fewer logs than the previous layer.
Common difference = 3
Hence, Second term = 17 - 3 = 14
Third term = 14 - 3 = 11
If the top layer has two logs,
Last term = 2
Step 1
We find the number of layers of logs present
Number of logs in the bottom layer - number of logs in the first layer + 1
= 17 - 2 +1
= 16 layers
Step 2
We are asked in the question to find , how many total logs are in the pile?
This means, we are to find the sum of terms in the Arithmetic progression.
The formula is given as
Sn = n/2(a + l)
Where a = First term = 17
l = Last term = 2
Sn = n/2(17 + 2)
Sn = 16/2(19)
Sn = 8 × 19
Sn= 152 logs
Classify the equation, 7x + 2 = 7x - 3, as having one solution, no solution, or infinitely many solutions.
The equation has
Answer:
No solution
Step-by-step explanation:
To solve this, we subtract 7x from both sides to get 2=-3. Since 2 does not equal to negative 3, there is no solution.
A nurse mixes 40 cc of 60% saline solution with a 30% solution to produce a 35% salone solution How much of the 30% solution should he use?
Is –6 × 8 positive or negative?
Answer:
Negative
Step-by-step explanation:
- x + = negative
+ x - = negative
- x - = positive
+ x + = positive
It is negative, because positive times negative=negative.
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Answer:
[tex]\boxed{\bold{\huge{\boxed{Area\ of\ Trapezium = 150\ cm\²}}}}[/tex]
Step-by-step explanation:
Using Pythagorean Theorem first to find EC
[tex]\sf CB^2 = EB^2+EC^2\\Where \ CB = 13 \ and \ EB = 5 \\13^2 = 5^2 + EC^2 \\169 - 25 = EC^2 \\EC^2 = 144\\Taking \ sqrt \ on \ both \ sides\\EC = 12 \ cm[/tex]
Given that:
AE = EC
AE = 12 cm
Now,
AB = AE + EB
AB = 12 + 5
AB = 17 cm
ABCD is a trapezoid / trapezium
So,
Area of Trapezium = [tex]\sf \frac{AB+DC}{2} (EC)[/tex]
Where AB = 17 , DC = 8 and EC = 12
Area of Trapezium = [tex]\sf \frac{17+8}{2} ( 12)[/tex]
Area of Trapezium = (25)(6)
Area of Trapezium = 150 cm²
What is the distance between (2,-1) and (2,5) rounded to the nearest 10th
Answer:
5.0Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(2-2)^2+(5+1)^2}=\sqrt{0^2+5^2}=\sqrt{25}=5[/tex]
Lilly bought 4 pairs of jeans at a cost of $39 each how much did she give the clerk write a multiplication problem and then find the answers
Answer:
It's simple. 4x39=156
Step-by-step explanation:
add 39 4 times. 39+39+39+39=156
Find the distance and midpoint for the points (7, 10) and (1,2).
Sienna is measuring a rectangular canvas on which she wants to paint. One side of the canvas is 11.4 inches long, and the shorter side is 8.3 inches. What is the area of the canvas, rounded to the correct amount of significant digits
Answer:
（95）
Hope I helped you
The area of the canvas if, One side of the canvas is 11.4 inches long, and the shorter side is 8.3 inches is 94.62 inches².
What is rectangle?
An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel, opposite sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's longer side is its length, while its shorter side is its breadth.
Given:
One side of the canvas is 11.4 inches long,
the shorter side is 8.3 inches,
Calculate the area of the canvas as shown below,
Area of the canvas = Length of the longer side × length of the shorter side,
Area of the canvas = 11.4 × 8.3
Area of the canvas = 94.62 inches².
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round 799to the nearest ten
Answer:
800
Step-by-step explanation:
the tenth is the second 9 and the 9 before it makes it round up
Thus, the second 9 rounds up also
Therefore, it changes the 7 to a 8 and the 9s are now 0s
hope it helps :)
James wrote a number in which the digit 6 represents 6 hundredths. If he wants the value of the digit 6 in his next number to be 10 times smaller, where should he place the decimal point?
Answer:
Step-by-step explanation:
He would put it in the thousandths digit.
0.06 = 6 hundredths
0.006 = 6 thousandths
Which of the following
is equivalent to 3/7 ?
Select your answer(s) below
Answer:
there is no choices but i can tell you some
as a decimal 0.429
6/14
12/28
multiply it by two every time
Step-by-step explanation:
Question 6 (1 point) If the area of a square is 121 square inches, what is the perimeter of the square? inches
Answer:
44 inches
Step-by-step explanation:
The side length is the square root of the area:
A = s^2
121 in^2 = s^2
√(121 in^2) = s = 11 in
The perimeter of a square is 4 times the side length (since all four sides are the same length).
P = 4s = 4(11 in) = 44 in
The perimeter of the square is 44 inches.
The area of a square is 121 square inches, what is the perimeter of the square? inches
Answer:The perimeter = 44 inches
Explanation:Area = 121 inches²
.°. Length of a side = √(121 inches²) = 11 inches
Now,
Perimeter of the square =
Length of a side×4
= 11 inches × 4
= 44 inches.
▬▬▬▬▬▬▬▬▬▬▬▬Aaliyah bought 23 chicken wings for $39.10. If Aaliyah spent $32.30, how many chicken wings did she buy?
Answer:
19 chicken wings
Step-by-step explanation:
For $39.10=23 chicken wings
For $1=23/39.10 chicken wings
For $32.30=23/39.10 x 32.30= 19 chicken wings
Wnite in scientific notation: 254.000
Write the equation of the line through the given point. Use slope-intercept form.
3
(-4,6); perpendicular to y = -
2x+3
Write an equation for the line in slope-intercept form.
(Simplify your answer. Use integers or fractions for any numbers in the equation)
Answer:
2y=x+16
Step-by-step explanation:
condition for a perpendicular line to the previous line is that the gradient M1=-1/M2. looking at the question above the equation of the line given y=-2x+3 that is the first M1=-2. so to get the gradient M2 of the line perpendicular, then M2=-1/-2=1/2. so M2=1/2. so the equation of the new line is y=1/2x+C. so we can find C. since the line passes through (-4,6). when x=-4, y=6, 6=1/2(-4)+C..C=6+2=8. so the equation of the new line y=1/2x+8 we can multiply via 2. so we have 2y=x+16
the equation is 2y=x+16
what is a common multiple for 4,8,10
Multiples of 4, 8, 10
4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
8 = 8, 16, 24, 32, 40
10 = 10, 20, 30, 40
A common multiple = 40
Here is a list of numbers.
-8, -5, -3,-2,0,2,4,9
(a) Write down two numbers from the list that have a difference of 10.
Answer:
2, -8
|2| = 2, |-8| = 8 (absolute value)
2+8=10
An electric company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used,
x 200
The function b(ar) = {
0.102,
0.15(x - 200) +20, < > 200
determines the
bill
How much is the bill for a person who uses 600 kWh in a month?
A. $70
ООО
B, $60
C. $40
D. $80
Answer:
$80Step-by-step explanation:
If a person's monthly bill from the number of kilowatt-hours (kWh), x is modeled by the equation b = 0.15(x - 200) +20, to know the bill for a person who uses 600 kWh in a month, we will substitute x = 600 into the modeled equation as shown;
[tex]b(x) = 0.15(x - 200) +20\\\\b(600) = 0.15(600 - 200) +20\\\\b(600 )= 0.15(400) +20\\\\b(600 )= 15/100*(400) +20\\\\b(600 )= (15*4)+20\\\\b(600 )= 60+20\\\\b(600 )= 80[/tex]
Hence the bill for a person who uses 600 kWh in a month is $80
2. Solve for b: c=a/b
Answer:
b=a/c
Step-by-step explanation:
Is 63 ÷ –7 positive or negative?
Answer:
Negative
Step-by-step explanation:
Answer:
Negative
Step-by-step explanation:
A positive divided by a negative is a negative.
Expand:
x(2x-5)
2x(3x+4)
6x(x-2y)
HELP ASAP BRAINLIEST FOR CORRECT ANSWER!
f(x) = x-7
What is the value of x when f(x) = 3? Enter the answer in the box.
h
helpp! subtract
8/9-1/3
Answer:
=5/9 or 0.5
Step-by-step explanation:
Answer:
0.55
Step-by-step explanation:
8/9-1/3
8*1/9*1 - 1*3/3*3
8/9 - 3/9
8-3/9
5/9
0.55
The temperature in Minneapolis, Minnesota, at 4 P.M. was 15°F. By midnight, the temperature had deceased by 18°. What was the temperature in Minneapolis at midnight?
Answer:
23F
Step-by-step explanation:
simplify each expression
Answer: Answer
Step-by-step explanation:
1. -83
2. 40
3. -38
4. 0
Please check my math!
Answer:
1 answer is39
2 answer is71
3 answer is38
4 answer is20/7
Step-by-step explanation:
Hope it is helpful for you
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Mary has three baking pans. Each pan is 8"×8"×3" which expression will give her the total volume of the pans?
Answer:
(8^2*3)*3 is the correct answer
next time you ask a question put the answer choices in your question
Given the check digit is 3, find the missing X for the master card number 5164 2X13 2705 0183
Answer:
9
Step-by-step explanation:
So there's 3 1's, 2 2's, 2 3's, 1 4, 2 5's, a 6, a 7, an 8, 2 0's, and no 9's.
Simplify: 6 ÷ 3 + 32 · 4 − 2
Answer:
Use PEMDAS.
Parentheses: none.
Exponents: none.
MD, from left to right
6/3 = 2
2 + 32 x 4 - 2
32 x 4 = 128
2 + 128 - 2
2 + 128 = 130
130 - 2 = 128
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Answer:
36
Step-by-step explanation:
Can someone pls answer these two math questions?
An angle measures 50° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
20° and 70°
Step-by-step explanation:
Complementary angles sum up to 90°.
The angle = x
Its complement = x + 50
x + x + 50 = 90
2x = 40
x° = 20°
20+50=70
Answer: 70° and 20°
Step-by-step explanation:
Complementary angles add up to 90 degrees and we now that one angles measure is 50 degrees less than the other. So we can represent it by the expression x = y -50 where x and y are the two angles. We don't the value of y so it will be just y .
Now we know that if we add them,they will equation 90 degrees so we can represent it by the equation,
y + y-50 = 90 Now solve for y
2y - 50 = 90
+50 +50
2y = 140
y = 70
Now we know one angles is 70 degrees and the other is 50 less than it so the other angle will be 70 - 50 = 20