Can someone solve this please
Answer:
4x + 5x = 180
9x = 180
x = 180/9
x = 180 ÷ 9
x = 20
I need help what is (4÷5×x) what I x
Answer:
0.8x
Step-by-step explanation:
According to BODMAS,
Step 1 :
4 ÷ 5
= 4 / 5
= 0.8
Step 2 : Multiply x.
0.8 * x = 0.8x
Answer:
Step one
4 ÷ 5
= 4/5
= 0.8
Step two = 0.8 * x
= 0.8x
would you please help me?
Answer:
52
x 6
300 6 x 5 tens
+12 6 x 2 ones
312
help giving branliest
Answer:
a
34
b
17
c
46
Step-by-step explanation:
a
Lowest age = 21
Highest age = 55
Range = 34
b
Add them all together and you get 17
c
Median is middle
17 total people
Formula for median:
(n + 1)/2 = th
n is the total
17 + 1 is 18
18 halved is the 9th number
The 9th number is 46
How do you add these two consecutive triangular numbers?
TR(4)+TR(3)
The n-th trianglar number is given by
[tex]T_n = \dfrac{n(n+1)}2[/tex]
Then
[tex]T_4 + T_3 = \dfrac{4\times5}2 + \dfrac{3\times4}2 = \boxed{16}[/tex]
Alternatively, the triangular numbers are defined recursively by
[tex]\begin{cases}T_1 = 1 \\ T_n = T_{n-1} + n & \text{for } n>1\end{cases}[/tex]
This means
[tex]T_1=1[/tex]
[tex]T_2 = T_1 + 2 = 3[/tex]
[tex]T_3 = T_2 + 3 = 6[/tex]
[tex]T_4 = T_3 + 4 = 10[/tex]
so that
[tex]T_3+T_4=\boxed{16}[/tex]
#8 HELP IM STUCK ON THIS
Answer:
12 ft
Step-by-step explanation:
for the model is 1 and the actual is 5
conversion yards to feet
3 feet = 1 yard
20 * 3 = 60
60/5 = 12
your answers 12 ft
hope this helps:)
The volume of this cylinder is 1,481,276.16 cubic inches. What is the radius? (will mark brainliest)
Answer:
radius = 72.00 in (nearest hundredth)
Step-by-step explanation:
[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
Volume = 1,481,276.16 in³Height = 91 inπ ≈ 3.14Substituting the given values into the formula and solving for r:
[tex]\implies \sf 1481276.16=3.14 \cdot r^2 \cdot 91[/tex]
[tex]\implies \sf 1481276.16=285.74r^2[/tex]
[tex]\implies \sf r^2=\dfrac{1481276.16}{285.74}[/tex]
[tex]\implies \sf r^2=5184[/tex]
[tex]\implies \sf r=\sqrt{5184}[/tex]
[tex]\implies \sf r=72\:in[/tex]
Answer: radius : 72.00 inch
The following is a cylinder.
Volume of Cylinder: πr²h
Given following:
volume: 1,481,276.16height: 91 inchπ ≈ 3.14radius: rSolve for radius:
[tex]\rightarrow \sf \pi r^2h =V[/tex]
[tex]\rightarrow \sf (3.14) r^2(91) =1,481,276.16[/tex]
[tex]\rightarrow \sf r^2 =\dfrac{1,481,276.16 }{91(3.14)}[/tex]
[tex]\rightarrow \sf r^2 =5184[/tex]
[tex]\rightarrow \sf r=\sqrt{5184}[/tex]
[tex]\rightarrow \sf r=72[/tex]
i need some help with this
Answer:
x + y = 4
substitute (-A, 2B) in the equation.
-A + 2B = 4
substitute (3A-2, 3-B) in the equation
3A-2 + 3-B = 4
Use elimination method and hence multiply the first substituted equation by 3
-3A + 6B = 12
3A-2 + 3-B = 4
-2 + 3 + 5B = 16
5B = 15
B = 3
Substitute value of B in any of the equations
and hence A = 2
Construct a 90% confidence interval for the population mean, . assume the population has a normal distribution. a sample of 15 randomly selected students has a grade point average of 2.86 with a standard deviation of 0.78
Answer:
[tex]CI=\{2.5053,3.2147\}[/tex]
Step-by-step explanation:
Assuming the conditions for constructing a t-confidence interval are true, we use the formula [tex]\displaystyle CI=\bar{x}\pm t^*\biggr(\frac{s}{\sqrt{n}}\biggr)[/tex] where our sample mean is [tex]\bar{x}=2.86[/tex], our sample standard deviation is [tex]s=0.78[/tex], our sample size is [tex]n=15[/tex], and a 90% confidence level is equivalent to a critical value of [tex]t^*=1.7613[/tex],
[tex]\displaystyle CI=\bar{x}\pm z^*\biggr(\frac{s}{\sqrt{n}}\biggr)\\\\CI=2.86\pm 1.761\biggr(\frac{0.78}{\sqrt{15}}\biggr)\\\\CI=2.86\pm0.3547\\\\CI=\{2.5053,3.2147\}[/tex]
Hence, we are 90% confident that the true population mean of a student's grade point average is between 2.5053 and 3.2147
Simplify this question
Step-by-step explanation:
9x²/3x + 12x/3x + 1
= 3x/1 + 4/1 + 1
= 3x + 5
I hope this is true..
What is the quotient? startfraction 2 y squared minus 6 y minus 20 over 4 y 12 endfraction divided by startfraction y squared 5 y 6 over 3 y squared 18 y 27 endfraction startfraction 2 over 3 (y minus 5) endfraction startfraction 3 (y minus 5) over 2 endfraction startfraction (y minus 5) (y 2) squared over 6 (y 3) squared endfraction startfraction 3 (y 5) (y minus 2) over 2 (y 2) endfraction
The quotient of two fractions, (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27), is: 3(y - 5)/2
What is a Quotient?Quotient can be described as the result you get from dividing a term by another term.
Let's find the quotient of (2y² - 6y - 20)/(4y + 12) and (y² + 5y + 6)/(3y² + 18y + 27)
Quotient = (2y² - 6y - 20)/(4y + 12) ÷ (y² + 5y + 6)/(3y² + 18y + 27)
Change the division sign to multiplication sign and turn the second fraction upside down
(2y² - 6y - 20)/(4y + 12) × (3y² + 18y + 27)/(y² + 5y + 6)
Bringing out the common terms, we would have:
2(y² - 3y - 10)/4(y + 3) × 3(y² + 6y + 9)/(y² + 5y + 6)
Factorize
2(y - 5)(y + 2)/4(y + 3) × 3(y + 3)(y + 3)/(y + 3)(y + 2)
Cancel out common factors
= 3(y - 5)/2
Quotient = 3(y - 5)/2
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Answer:b
Step-by-step explanation:
lol
Bob bikes to work 8 miles each day. The trip takes him 0.5 hours. If Bob bikes at a constant rate, what is his biking speed? A. 5 mph B. 8 mph C. 16 mph D. 40 mph
Given the distance covered and the time elapsed, if the bike is at a constant rate, the speed of Bob's bikes is 16 mph.
Option C) is the correct answer.
What is Speed?Speed is simply referred to as distance traveled per unit time.
Mathematically, Speed = Distance ÷ time.
Given the data in the question;
Distance covered d = 8milesTime elapsed t = 0.5hrsSpeed of the bike S = ?Speed = Distance ÷ time
Speed = 8miles / 0.5hrs
Speed = 16 mph
Therefore, Given the distance covered and the time elapsed, if the bike is at a constant rate, the speed of Bob's bikes is 16 mph.
Option C) is the correct answer.
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evaluate the following expression. you should do this problem without a calculator e^In3
The relation between the exponential and the logarithm is used. Then the expression [tex]e^{\ln3}[/tex] is given as 3.
What is a logarithm?Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
The expression is given below.
[tex]\rightarrow e^{\ln3}[/tex]
We know the formula
[tex]\rm e^{\ln x} = x[/tex]
Then the expression can be written as
[tex]e^{\ln3} = 3[/tex]
More about the logarithm link is given below.
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Find the distance between y=7 and y=-1
Answer:
Er I think it’s 8 but not sure
Step-by-step explanation:
Stephanie earns $50 a week from babysitting. She spends
$25, saves $15, and uses the rest to repay a loan of $100 from
her brother. After six weeks, how much has Stephanie spent,
how much has she saved, and how much does she still owe her
brother?
Step-by-step explanation:
Stephanie has spent $150
she has saved $90
and owes her brother$40
What is the volume of a rectangular sandbox that is 3 feet by 4 feet by 1 foot?
13 ft 3
8 ft 3
12 ft 3
7 ft 3
Answer:
Volume = 12 ft^3
Step-by-step explanation:
Vol = length×width×height
= 3×4×1
= 12
The volume is 12 cubic feet.
whats the 8th term of 12,18,27
Answer:
205.03125.
Step-by-step explanation:
18/12 = 1.5
27/18 = 1.5
This is geometric with nth term = ar^(n-1)
Here first term a = 12 and common ratio r = 1.5, so
The 8th term = 12(1.5)^(8-1)
= 205.03125
Solve the following:
4x3 = 2x + 7
Answer:
If you meant 4x to the third power, than x = 1.34
Which of these describes how the function is increasing and decreasing?
Answer:
increasing from -2 to +∞
Step-by-step explanation:
The graph starts at -2 and continues to the right which means it increases from -2.
Answer:
Increasing from -2 to positive infinity.
Step-by-step explanation: This is because this is the graph of the square root of x + 2. It will increase from -2 in the x range and eventually hit every single x value from -2 to positive infinity.
Line segment xy is tangent to circle z at point u. circle z is shown. line segment u v is a secant. line segment x y is a tangent and intersects the circle at point u. the measure of arc u v is 84 degrees. if the measure of arc u v is 84°, what is the measure of angle y u v? 42° 84° 96° 168°
Based on the calculations, the measure of angle YUV is equal to 42°.
What is a line segment?A line segment refers to a part of a line that is bounded by two (2) distinct points and it has a fixed length.
Based on the information given, we can deduce the following:
O is center of circle (∠YUO = 90°)The measure of arc UV is 84° (∠UOV = 84°)OU is equal to OV and equal to radius (∠OVU = ∠OUV)From triangle UOV, we have:
∠OUV + ∠OUV + ∠UOV = 180°
2OUV + 84 = 180
2OUV = 180 - 84
2OUV = 96
OUV = 96/2
OUV = 48°
Now, we can determine the measure of angle YUV:
∠YUV = ∠YUO - ∠OUV
∠YUV = 90 - 48
∠YUV = 42°.
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Answer:
42
Step-by-step explanation:
If the dimensions of a rectangular prism are 10 cm x 5 cm x 7 cm, what is
the surface area?
Answer:
310
Step-by-step explanation:
Multiply the l/w/h x 2
You are told that in a sample of size 225 the mean is 48.5 and the standard deviation is 1.8. the study is reported with 90% confidence level. explain how to determine if 48.8 is within the confidence interval.
Using the t-distribution, it is found that the 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 225 - 1 = 224 df, is t = 1.6517.
The other parameters are given as follows:
[tex]\overline{x} = 48.5, s = 1.8, n = 225[/tex].
Hence the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 48.5 - 1.6517\frac{1.8}{\sqrt{225}} = 48.3[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 48.5 + 1.6517\frac{1.8}{\sqrt{225}} = 48.7[/tex]
The 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.
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John is weighing his jars of coins. his jar of pennies weighs 84.96 ounces, and his jar of nickels weighs 3.11 kilograms. there are 0.0283495 kilograms per ounce. which jar weighs more, and how many more pounds does it weigh? a. the jar of pennies weighs 8.41 pounds more than the jar of nickels. b. the jar of pennies weighs 0.089 pounds more than the jar of nickels. c. the jar of nickels weighs 2.06 pounds more than the jar of pennies. d. the jar of nickels weighs 1.55 pounds more than the jar of pennies.
The jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d
Calculating weightFrom the question, we are to determine the jar that weighs more
From the given information
His jar of pennies weighs 84.96 ounces
and his jar of nickels weighs 3.11 kilograms
First, we will 84.96 ounces to kilogram
From the given conversion,
There are 0.0283495 kilograms per ounce
That is, 0.0283495 kg = 1 ounce
If 1 ounce = 0.0283495 kg
Then,
84.96 ounces = 84.96 × 0.0283495 kg
∴ 84.96 ounces = 2.4086 kg
His jar of pennies weighs 2.4086 kg
Since the John's jar of nickels weighs 3.11 kg, his jar of nickels weigh more.
3.11 kg - 2.4086 kg = 0.7014 kg
Convert 0.7014 kg to pounds
1kg = 2.20462 pounds
∴ 0.7014 kg = 0.7014 × 2.20462 pounds
0.7014kg ≅ 1.55 pounds
Hence, the jar of nickels weighs 1.55 pounds more than the jar of pennies. The correct option is d.
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What is an equation of a line that perpendicular to y=8x-3?
Question 4 options:
y=8x + 10
y=10x - 3
y= -1/-8 (-3)
y= -1/-8 +1
Hi Student!
Reading the question we can pull out specific bits of information that would help us find our answer. One of the bits of information that is useful is that we are trying to find the perpendicular line. However, in order to determine a line that is perpendicular to the other line we first need to determine the slope of the first line. Looking at the equation given, we can see that it follows the y = mx + b form where m is the slope and in this case our slope is 8.
Now that we have completed the information gathering, we can move onto the next part which is determining a slope that is perpendicular to that of the original line. In order to find that we first need to negate our slope which would turn our 8 into a -8. The second step that we need to do is take the reciprocal of the number which means that we basically flip the number and so we convert -8 into -1/8. Looking at the given options, there is none that match our answer so that either means that the question is wrong or the choices that are given are wrong.
sin(-17pi/6)
How do I solve this
Answer:
if you have a graphing calculator you can just plug the whole equasion in. the anser I got was -0.1547307191
Step-by-step explanation:
to get pie you have to hit second and then ^
John bought 4 pounds of hot dogs for his party.
How many ounces of hot dogs did John buy?
Answer:
64 Ounces
Step-by-step explanation:
64 Ounces of hot dogs
Answer:
64 oz
Step-by-step explanation:
1 lb = 16 oz
4 × 1 lb = 4 × 16 oz = 64 oz
Over the closed interval [3, 8], for which function can the extreme value theorem be applied?
Answer:
ITS C
Step-by-step explanation:
trust
Find the surface area of the square pyramid.
A) 35 ft^2
B) 30 ft^2
C) 45 ft^2
D) 20 ft^2
Area of base
side²5²25ft²Area of one triangle side
1/2(2)(5)=5ft²Area of 4 sides
5(4)=20ft²TSA
20+25=45ft²
Answer:
C) 45 ft²
Step-by-step explanation:
Formulae
Area of a square = x² (where x is the side length)
Area of a triangle = 1/2 × base × height
The surface area of a square pyramid comprises:
square base4 congruent triangles⇒ area of square base = 5² = 25 ft²
⇒ area of triangular face = 1/2 × 5 × 2 = 5 ft²
⇒ Total surface area = area of square base + 4 triangular areas
= 25 + 4(5)
= 25 + 20
= 45 ft²
its wrong someone help me with it
Answer:
the answer is π^8
Step-by-step explanation:
the math program has got some bugs in it. See your teacher and tell him or her about it
Identify the terms, coefficients, and constants in the expression 20x+13.
Answer: coeficient is 20 and the constant which is 13
Step-by-step explanation: