Answer:
It might be 1,050. Also can't believe thats a college question-
It was very easy to solve! Help from an 8th grader here.
Step-by-step explanation:
The smallest four-digit number that is divisible by each of the four smallest prime numbers is 1050.
What is the divisibility rule?The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.
The four smallest prime numbers are 2, 3, 5, and 7.
To find the smallest four-digit number that is divisible by each of these numbers, we can start by finding the least common multiple (LCM) of these numbers. The LCM of a set of numbers is the smallest number that is divisible by all of the numbers in the set.
To find the LCM of 2, 3, 5, and 7, we can start by listing the prime factorization of each number:
2 = 2 x 1
3 = 3 x 1
5 = 5 x 1
7 = 7 x 1
Then, we can find the LCM by taking the highest power of each prime that appears in any of the numbers:
LCM(2, 3, 5, 7) = 2¹ x 3¹ x 5¹ x 7¹ = 210
Since we want the "smallest 4-digit number", then it is:
210 x 5 =1050
Therefore, each of the four lowest prime numbers may be divisible by the smallest four-digit number, which is 1050.
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Steel is an alloy of iron and carbon (98% iron, 2% carbon). Stainless steel is steel and chromium, (90% steel, 10% carbon). What amount of iron, carbon, and chromium are needed for 500 kg of stainless steel?
500 kg x 90% = 500x 0.9 = 450 kg of Steel is needed.
450 kg x 98% = 450 x 0.98 = 441 kg of iron needed.
450 x 0.02 = 9 kg of carbon is needed for the steel.
50 kg of chromium is needed.
Chromium is 10% carbon, 50x 0.1 = 5 kg of carbon is needed for the chromium.
Total iron = 441 kg
Total carbon = 9 + 5 = 14 kg
Total chromium = 50 kg
What is the actual slope of a line with the points (-4, 9) and (3, -5)?
Answer:
slope=∆y/∆x=9+5/-4-3=14/-7=-2
Answer:
-2
Step-by-step explanation:
slope equation: (y2-y1)/(x2-x1)
lets use (-4, 9) as x1 and y1 and (3, -5) as x2 and y2
when plugged into the equation we get (9+5)/(-4-3) which ultimately equals -2.
Julie Myrick has a credit card that has an APR of 15%, applied at a daily
periodic rate to the previous balance. Her previous balance is $567,31. She made
new purchases totaling S128.92, and a payment-of $125 in the month of June.
What is her new balance?
Answer. 332.78
Step-by-step explanation:
I subtracted and as awesome its right trust me.
Three less than half of a number is - 1. Find the number.
Answer:
x = 4
Step-by-step explanation:
Three less than half of a number is -1
The Half Of A Number means the number can be anything, so we can use "x." However, it is half so it would become: 1/2x.
Three less than means it is minus three, therefore becomes: 1/2x-3
However, three less than half of a number is (or in other words is equal too) -1, so the overall equation is
1/2x - 3 = -1
first, add three on both sides to get:
1/2x = 2
multiply two on both sides to get:
x = 4
help me please!!!!!!!!!
Answer:5.6
Step-by-step explanation:112 divided by 20=5.6
What is cos 63°? Round your answer to the nearest hundredth.
A. 0.89
B. 0.45
C. 0.17
D. 1.96
Answer:
B. 0.45
Step-by-step explanation:
Use the cos function in a calculator for the degree measure of 63°.
The value of cos 63° is 0.45.
Option B is the correct answer.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
To find cos 63°, we can use a calculator or a table of trigonometric functions.
Now,
cos 63° ≈ 0.447
Rounding to the nearest hundredth, we get:
cos 63° ≈ 0.45
Therefore,
The value of cos 63° is 0.45.
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Which of the following is a solution of x^2 -10x = -36?
-5 - i √10
5 + i √61
-5 - i √11
5 + i √11
If the imput is -8 then what is the output of y=3x+7
Answer:
output is -17
Step-by-step explanation:
x is input, y is output. You do y = -24 + 7
then y = -17
Find the percent of decrease from 6 to 5.
Answer:
Use this
Step-by-step explanation:
PLEASE HELP
A faucet dripped 14 cup of water in 112 hours. What is the rate in cups per hour?
Answer:
8 cups per hour
Step-by-step explanation:
We already have both values, the total sum of hours and the total amount of cups the faucet dripped. We would divide the hours by the cups of water to get an answer of 12. You can also double check this when doing one of these problems on your own, by multiplying your answer by the divisor. (14) 14 times 8 is 112, so we know our answer is correct.
Hope that helps :D
The rate in cups per hour is 8 cups per hour if a faucet dripped 14 cup of water in 112 hours.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
A faucet dripped 14 cup of water in 112 hours.
The total sum of hours and the total amount of cups the faucet dripped.
The rate in cups per hour = 112/14
The rate in cups per hour = 8
Thus, the rate in cups per hour is 8 cups per hour if a faucet dripped 14 cup of water in 112 hours.
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1) -1 = x – 5
2) -5x + 2 = 17
PLS ANSWER PLS PLS PLS
HEYYYYYYYYYYY YALLLLLLLLLLLLLLLL ADDDDDDDDD MEHHHHHHHHHHHHHHHHH
Answer:
I think the answer is D
Step-by-step explanation:
The ratio of the angle measures of the triangle are 3:1:5.if the longest side of the triangle is 15ft .the shortest side of the triangle is?
Answer:
3ft
Step-by-step explanation:
get the ratio of longest side which is 5over9 is equal to 15 what about 1 over 9 then u equate n get 3
Answer:
≈ 5.2 ft
Step-by-step explanation:
sum the parts of the ratio, 3 + 1 + 5 = 9 parts
Divide the angle sum of a triangle by 9 to find the value of one part of the ratio.
180° ÷ 9 = 20° ← value of 1 part of the ratio, then
3 parts = 3 × 20° = 60°
5 parts = 5 × 20° = 100°
The angles of the triangle are 100°, 60° and 20°
The longest side is opposite the largest angle in the triangle
The shortest side is opposite the smallest angle in the triangle.
Thus
the longest side is opposite 100°
the shortest side is opposite 20°
let x represent the shortest side and using the Sine rule
[tex]\frac{x}{sin20}[/tex] = [tex]\frac{15}{sin100}[/tex] ( cross- multiply )
x × sin100° = 15sin20° ( divide both sides by sin100° )
x = [tex]\frac{15sin20}{sin100}[/tex] ≈ 5.2 ( to the nearest tenth )
Thus the shortest side is ≈ 5.2 ft
A how air ballon roses 474 feet. It then descends 130 feet. Find the elevation of the ballon is it started at sea levels.
Answer:
344 feet
Step-by-step explanation:
474-130=344
Divide. Write in simplest form.
3/4 divided by 1/8
Answer:
when you divide 3/4 by 1/8 you get 6
Find the value of x.
Group of answer choices
77
34
69
146
Answer:
x = 69Step-by-step explanation:
∠K = 180 - 146 = 34
34 + x + 77 = 180
x = 180 - 77 - 34
x = 69
A candle burned at a steady rate. After 40 minutes, the candle was 12.5 inches. After 70 minutes, the candle was 11.75 inches. Use an equation in point-slope form to determine the height of the candle after 2 hours.
Answer: 8.75 is the correct answer
Step-by-step explanation:
I'm big brain.
Which set of ordered pairs represents a function? O{(-6,1), (7,2), (6,5), (-6,-1)} O {(8,7),(-8,-4),(4,8), (-8,1)} O {(-2,7), (-2,0), (0, -6), (-4,0)} o {(-2,-4), (-7,1), (8,3), (3,3)}
A grade has 81 girls and 72 boys. The grade is split into groups that have the same ratio of girls to boys as the whole grade.How many girls are in a group that has 16 boys?
Answer:
18 girls I think.
Step-by-step explanation:
whats 16, −24, 9, −30, 25 least to greatest?
Answer:
-30, -24, 9, 16, 25
Answer:
30-, -24, 9, 16, 25
Step-by-step explanation:
A quadrilateral has vertices A(4, 5), B(7, 7), C(6, 8), and D(4, 7). The image of the quadrilateral has vertices A"(–6, 0), B"(–9, –2), C"(–8, –3), and D"(–6, –2).
Which transformations may have taken place?
A. T (-2, 5) r y=x
B. T(-2,5) R 0,180
C. r y=x T(–2, 5)
D. R 0,180 T(-2,5)
Answer:
D
Step-by-step explanation:
Harley bought a one year $1000 treasury bond. He paid $950 for the treasury bond. What is his rate of return? Round to one decimal, such as: 6.7%.
0.053%
53%
5.3%
5%
Answer: 5.3%
Step-by-step explanation:
The formula to compute rate of return is given by :-
Rate of return = [tex]\dfrac{\text{Selling price - investing price }}{\text{ investing price}}\times100[/tex]
[tex]=\dfrac{1000-950}{950}\times100\%\\\\=\dfrac{50}{950}\times100\%\\\\=\dfrac{100}{19}\%\\= 5.3\%[/tex]
Hence, his rate of return = 5.3%
geometry unit 4 congruent triangles
Answer:
okay?
Step-by-step explanation:
The four congruent triangles are by SAS, AAA, ASA and RHS.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
The four congruent triangles are,
They can be congruent by side angle and side.
They can be congruent by angle, angle and angle.
They can be congruent by angle side angle.
They can be congruent by one of the legs and the hypotenuse of a
right-angle triangle.
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Farmer Bob wants to build a rectangular pigpen with side lengths of 3x2+4x-1 ft and 2x2-5x+9 ft. How much fencing will he need to
O A 5x2-x+8 ft
OB. 10x2+18x+16 ft
O C. 10x2-2x+16 ft
OD. 5x2+9x+8 ft
Answer:
b
Step-by-step explanation:
Which of these tables represents a function?
Answer:
W
Step-by-step explanation:
The table that will represent a function is the table where every x-value (domain) has exactly one y-value (range).
Table W represents a function because each x-value has exactly only one y-value.
The other tables have two y-values assigned to a one x-value.
Answer:
W
Step-by-step explanation:
A prom ticket at Smith high school is $120 time is going to save money for the ticket by walking his neighbors dog for $15 per week.Tom has already saved $15 write an in equality that represents the situation.
Answer:
120 = 15x + 15
Step-by-step explanation:
what you have to do is find the amount of weeks needed to walk the dog until you get around 120. so if two weeks is equal too 30 dollars you can multiply it by that amount. 30 = 2.So 30 times what = 120 or 15 times what = 120. also dont forget that tom has saved thirty dollars in advance
Suppose that Gx=f(x+11). Which statement correctly describes the graph? please hurry!
Given:
[tex]g(x)=f(x+11)[/tex]
To find:
The correct statement for the given transformation.
Solution:
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (1)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
We have,
[tex]g(x)=f(x+11)[/tex] ... (2)
On comparing (1) and (2), we get
[tex]a=11>0[/tex]
So, the graph of f(x) translated 11 units to the left.
Therefore, the correct option is A.
Evaluate the exponent expression for a = –1 and b = 2.
–3ab–2
Question 3 options:
5/8
3/4
3
12
Answer:
To find the answer, we simply have to substitute the values for a and b that the question gave us into the expression.
In this case, that would be substituting a = -1 and b = 2 into -3ab - 2.
[tex]-3(-1)(2) - 2[/tex]
[tex]= 3(2) - 2[/tex]
[tex]= 6 - 2[/tex]
[tex]= 4[/tex]
Hence, the answer is 4. However, there is no option with 4 for Question 3, so I would suggest OP to check the question again to confirm if there is no option with the answer as 4.
Step-by-step explanation:
Hope this helped!
Answer:
its 3/4
Step-by-step explanation:
Determine the future amount if ₱150,000 is deposited in a fund for 5 years at 2.5% compounded annually
Answer:
169,711.23₱
Step-by-step explanation:
compound intrest formula
p(1+r/100)^n
150,000(1+2.5/100)^5
=169,711.23₱
Drag the item from them item bank to its corresponding match
Will mark brainless
Answers, in order:
1. Acute
2. Congruent
3. Supplementary angles
4. Vertical angles
5. Adjacent angles
6. Adjacent supplementary angles
7. Alternate interior angles
8. Alternate exterior angles
9. Consecutive interior angles
10. Corresponding angles
11. Straight angle