Answer:
x = 10
Step-by-step explanation:
if two prisms are similar then the side lengths are proportional
2/4 = x/20 cross multiply expressions
40 = 4x divide both sides by 4
10 = x
Ralph’s classroom measures 12 meters in length. What is the length of the classroom in millimeters?
A. 11,000 mm
B. 12,000 mm
C. 12,500 mm
D. 13,000 mm
Answer:
b. 12 000 mm
Step-by-step explanation:
multiply by 1 000
Write the number 2.4 in the form
A/B, using integers,
Answer:
[tex] \frac{12}{5} [/tex][tex]2 \frac{2}{5} [/tex]Step-by-step explanation:
Convert to simplified fraction:
Convert to a mixed number by placing the numbers to the right of the decimal over 10. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.
Convert to Mixed fraction:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10[tex] ^{1} [/tex](10). Next, add the whole number to the left of the decimal.
[tex]2 \frac{4}{10} [/tex]
Reduce the fractional part of the mixed number.
[tex]2 \frac{2}{5} [/tex]
Hope it is helpful...Q1: Suppose that the numbers of persons per car arriving at the entrance to an amusement park has an average 2. What is the probability that a car arriving at the entrance contains a) No person b) Only one person c) More than one person d) Eight persons e) At least 3 person
The distance from Nairobi, Kenya to Pretoria, South Africa is 3,969 kilometers. The distance from Cairo, Egypt to Tunis, Tunisia is 2,811 kilometers. Estimate the difference between these two distances by first rounding to the nearest hundred. i need help pleasee
Answer:
Step-by-step explanation:
3,969 = 4,000 rounded to nearest hundred
2,811=3,000 rounded to nearest hundred
therefore... the difference is 4,000 - 3,000 = 1,000 kilometers
Answer:1,100
Step-by-step explanation:
rounding 3,969 to the nearest hundreds is 4,000 and rounding 2811 to the nearest hundred is 2900. Now you subtract 4000-2900 = 1100.
all the angles of polygon of 30 sides are equal what is the measure of each angle
Answer:
(30-2)*180 calculate and get ur answer
7 = -10s - 3 for iready
Answer:
-1 =s
Step-by-step explanation:
7 = -10s - 3
Add 3 to each side
7+3 = -10s - 3+3
10 = -10s
Divide by -10
10/-10 = -10s/-10
-1 =s
If the mean of a normal distribution is 105, what is the median of the distribution? O A 315 OB. 105 O C. 420 D. 210 SUBM
Answer:
105
Step-by-step explanation:
A normal or symmetrical distribution where each the distance between each side of the distribution to the midpoint is the same, a normal distribution, also called a symmetrical distribution has the se value for both its median and mean. Hence, if the mean of a normal distribution is x, then it's median will also be x.
For the scenario given,
Since mean = 105 ; then median = 105
BEDMASS or PADMASS solve this pls
Answer:
Step-by-step explanation:
376389546535150-540111-107525Two consecutive even numbers are such that five times the smaller number , subtracted from eight times the bigger gives 58. Find the two Numbers? show working
Answer:
[tex]14\text{ and }16[/tex]
Step-by-step explanation:
Let the smaller number be [tex]x[/tex]. Since they are consecutive even numbers, the larger number can be represented by [tex]x+2[/tex].
Therefore, we have the following equation:
[tex]8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}[/tex]
Thus, the larger number is [tex]x+2=\boxed{16}[/tex]
Finding the volume of the solid.Use unit cubes to help.
Answer:
the answer is 125. if you cut them slice to slice you'll get 25 because of there five slices of 25 all you got to do is 25 x 5 and you'll get 125.
Hope this help
Have a nice day :)
A scuba diver is swimming 28 feet below the water’s surface. The diver swims up slowly at a rate of 0.3 feet per second for 6 seconds. Then they swim back down for 4 seconds at a rate of 0.3 feet per second. What is the diver’s new depth?
Answer:
27.4 feet down deep
Step-by-step explanation:
28 feet down, swins up for 0.3 feet times 6 or 1.8 feet up
leaving a total of 26.2 under the sea and he swims back down at 0.3 feet times 4 or 1.2 feet down. and the new total is 26.2 + 1.2 which equals 27.4 feet down in the deep sea
Answer:
27.4 feet
Step-by-step explanation:
.3 ft per sec for 6 sec = 1.8 feet
.3 ft per sec for 4 sec = 1.2 feet
28 - 1.8 + 1.2 = 27.4
Which side lengths form a right triangle?
Answer: A and C
Step-by-step explanation: To see if it can be the side lengths of a right triangle we have to use the Pythagoras Theorem which is [tex]a^2 +b^2 = c^2\\[/tex]
C is always the largest length. Now we can sub the numbers in
[tex]5^2+\sqrt{6} ^2=\sqrt{31} ^2[/tex]
The squares and the square roots cancel each other out so we end up with
25+6=31
this is true so those are possible sides for a right triangle
Now for b:
[tex]\sqrt{5}^2 + \sqrt{5}^2 =50^2[/tex]
Again the squares and square roots cancel each other out
5+5=2500
This isn't true so it isn't the possible sides for a right triangle
Finally option C:
[tex]9^2+12^2=15^2[/tex]
81+144=225
225=225
This is true so it can be the side lengths that form a right triangle
A rectangular piece of paper with length 34cm and width 14cm has two semicircles cut out of it. Find the area of the paper that remains. Use the value 3.14 for PIE , and do not round your answer.
Answer:
Step-by-step explanation:
322.14 cm²
four numbers 1-6 you roll a six-sided die whose sides are numbered from 1 through 6. Find the probability of rolling the following. NO LINKS!!!!
Answer:
#1
Since half of the numbers are even, 2, 4, 6
P(even) = 3/6 = 1/2#2
Multiple of 3 are 3 and 6:
P(multiple of 3) = 2/6 = 1/3#3
The numbers ≤ 4 are: 1, 2, 3, 4
P(≤4) = 4/6 = 2/3#4
Prime numbers are 2, 3, 5
P(prime) = 3/6 = 1/2#5
Numbers > 1 are 2, 3, 4, 5, 6
P(>1) = 5/6#6
A four, there is one option
P(4) = 1/6Select the correct answer.
Consider the function f(t) = 2* and function g.
g(t) = (1) + 6
How will the graph of function g differ from the graph of function f?
ΟΑ.
The graph of function g is the graph of function fshifted 6 units to the left.
B.
The graph of function g is the graph of function fshifted 6 units up.
Ос.
The graph of function g is the graph of function fshifted 6 units to the right.
OD.
The graph of function g is the graph of function fshifted 6 units down.
Answer:
The graph of function g is the graph of function f shifted 6 units up.
Step-by-step explanation:
Given
[tex]f(x) = 2^x[/tex]
[tex]g(x) =2^x + 6[/tex]
Required
Compare g(x) to f(x)
Substitute [tex]f(x) = 2^x[/tex] in [tex]g(x) =2^x + 6[/tex]
[tex]g(x) = f(x) + 6[/tex]
This implies that f(x) is shifted 6 units upward to give g(x)
What's the Error? Explain the error. Find the correct solution.
42-(-6)=-7
Answer: 42 -(-6)= 48
Step-by-step explanation:
a negative - a negative will always equal a positive
:)
How much interest will be earned on a $1600 investment at 7.72% compounded
quarterly for 9 years?
You measure 30 dogs' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 6.1 ounces. Based on this, construct a 95% confidence interval for the true population mean dog weight. Give your answers as decimals, to two places
Answer:
The answer is "[tex](32.8318736, 29.1681264)[/tex]"
Step-by-step explanation:
When the [tex]95\%[/tex] of the confidence interval are true population means of the dog weight then:
[tex]=\bar{x} \pm \frac{\sigma }{\sqrt{n}} \times z_{0.05}\\\\=31 \pm \frac{6.1}{\sqrt{30}}\times 1.64485\\\\=31 \pm 1.83187361\\\\=(32.8318736, 29.1681264)[/tex]
kathy runs a 26.2-mi;e marathon at an average pace of 6.2 minutes per mile how long will it take her to finish the marathon round your answer to the nearest minute
Answer:
162 minutes
Step-by-step explanation:
Since she takes 6.2 minutes a mile, you multiply it by 26.2 for every mile. 6.2x26.2= 162.44, then round it to 162
Please help i need it
Please help me with i ii iii
Step by step
(i) I used distributive property to get the x’s and y’s out of parentheses. I then combined like-terms to simplify until I could do no more. That is your final answer for (i) is -3x - 12y
(ii) This one is similar to the first one, just with no parentheses. I combined like terms again until not like terms were left. Your final answer for (ii) is -3k -2 -2n
(iii) I started by dividing 15 by 3 and got 5, and because the 15 had an x to it, you get 5x. I then moved onto the next term, 9. 9 divided by 3, to get 3. Your final answer for (iii) is 5x + 3
Complete the factored form of the linear expression.
15x + 12y = ( )( + )
Answer:
3(5x + 4y)
Step-by-step explanation:
Given
15x + 12y ← factor out 3 from each term
= 3(5x + 4y) ← in factored form
Solve for X to the nearest tenth.
Answer:
x ≈ 24.4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 38°
Adjacent Leg = x
Hypotenuse = 31 cm
Step 2: Solve for x
Substitute in variables [cosine]: cos38° = x/31[Multiplication Property of Equality] Multiply 31 on both sides: 31cos38° = xRewrite: x = 31cos38°Evaluate: x = 24.4283Round: x ≈ 24.4100 students attended a revision lesson at the weekend.
Each student went to Maths or English or Science.
55 of these students attended on Saturday.
Over the weekend a total of 40 students went to Maths.
12 of the 27 students that went to Science went on Sunday.
10 students went to English on Saturday.
How many students went to the Maths revision lesson on Saturday?
Answer:
I am pretty sure its 30 students
The base of a solid right pyramid is a square with an
edge length of n units. The height of the pyramid is n
1 units
Which expression represents the volume of the
pyramid?
VA
on(n-1) units
on(n-1)2 units
or’n - 1) units
on*(n − 1) units
(n-1)
n
Answer:
C
Step-by-step explanation:
Base area = n^2
V = (base area * height)/3 = (n^2 *(n-1)/3 = 1/3n^2(n-1)
The expression for the volume of pyramid is V = ( 1/3 )n² ( n - 1 ) units³
What is the volume of a pyramid?The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.
Volume of Pyramid = ( 1/3 )a²H
Given data ,
Let the base edge length of the solid pyramid be = n units
So , the base area of the pyramid = n² units²
Let the height of the pyramid be = ( n - 1 ) units
And , Volume of Pyramid = ( 1/3 )a²H
On simplifying , we get
V = ( 1/3 ) n² ( n - 1 ) units³
Hence , the expression is V = ( 1/3 ) n² ( n - 1 ) units³
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What is h(−8) for h(x)=1/4x^2+7x?
Answer:
h(-8) = -40
Step-by-step explanation:
Find h(-8) by plugging in -8 as x:
h(x) = 1/4x² + 7x
h(-8) = 1/4(-8)² + 7(-8)
Simplify:
h(-8) = 1/4(64) - 56
h(-8) = 16 - 56
h(-8) = -40
So, the answer is h(-8) = -40
The value of h(-8) is -40.
What is quadratic equation?Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given:
h(x)=1/4x²+7x
h(-8)= 1/4* 64+7*(-8)
= 16-56
= -40
Hence, h(-8)=-40.
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HELPPP HOW MANU SURFACE AREAS DOES THIS HAVE DONT SEND A FILE!!
Can somebody help me with this question
Answer:
y = -⅓x + 7
Step-by-step explanation:
Given the two points that lie on the line (3, 6) and (-3, 8), we can find the equation without the grid by finding the slope (m) and y-intercept (b).
The equation would be written in the form of y = mx + b (slope-intercept form):
✔️Find m:
Slope (m) = change in y/change in x
Slope using (3, 6) and (-3, 8), would be:
Slope (m) = (8 - 6)/(-3 - 3) = 2/-6
m = -⅓
✔️Find b:
Substitute (x, y) = (3, 6) and m = -⅓ into y = mx + b to find b
6 = -⅓(3) + b
6 = -1 + b
6 + 1 = b
b = 7
✅Write the Equation:
Substitute m = -⅓ and b = 7 into y = mx + b
Thus,
y = -⅓x + 7
the equation of a circle C is (x+2)^2+(y-7)^2=36. What is its crnter (h,k)?
Answer:
The center is ( -2, 7) and the radius is 6
Step-by-step explanation:
A circle is written in the form
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x+2)^2+(y-7)^2=36
(x - -2)^2+(y-7)^2=6^2
The center is ( -2, 7) and the radius is 6
A model train is built at a scale of 1 to 60. If the model train is 10 inches long, how many feet long is the actual train?
Answer:
60 feet
Step-by-step explanation: