Given parameters:
Number 60;
Problem;
Express as a product of its prime factors
Solution
Every number known can be expressed as a product of its prime factors. Prime factorization involves finding the prime numbers that when multiplied will give the true number.
Prime numbers are numbers that are products of 1 and itself only.
For the number 60;
60 = 2 x 30
= 2 x 2 x 15
= 2 x 2 x 3 x 5
In index form; 2² x 3 x 5
Nina's garden is 4 1/5 meters long and 3/qo meters wide. What is the area of Nina's garden?
Answer: 63/50 meters^2 or in mixed number 1 13/50 meters^2
Step-by-step explanation:
area= length x width
length = 4 1/5= 21/5 . multiply the whole number with the denominator 4x5= 20 add 20 with the numerator 20+1=22
width = 3/10
21/5 x 3/10 ( multiply the denominators together)
21x3 / 5x10
= 63/50 meters^2 or in a mixed number 1 13/50 meters^2
(by the way I'm guessing you meant 3/10 and not 3/q0)
According to the distributive property, 6(5 + 3) =
Answer:
48
Step-by-step explanation:
I am thinking of a number x. What algebraic expression represents “eight less than three times this number”?
Answer:
3x - 8
Step-by-step explanation:
We represent the number as x.
We can write it as x - 8 (eight less than this number)
Then we can add 3x - 8 (We add the three times part)
Evaluate..................
Answer:
Step-by-step explanation:
y = 3/5х + 2 on a graph
Answer:
Go to desmos graphing calculator and put your equation in and it will graph it for you I used it for my math questions like this
Step-by-step explanation:
HOPE THAT HELPS YOU
Nate’s mom bought 4 boxes of crackers for $2.59 each. About how much
did she pay for the crackers?
Answer:
$10.36
Step-by-step explanation:
To answer this question, all you have to do is multiply:
4 * 2.59 = 10.36
So, Nate's mom spent $10.36 on crackers.
Hope this helps :)
Answer:
Nate's mom spent $10.36 on crackers.
Step-by-step explanation:
Prime numbers have...
Less than two factors
More than two factors
Exactly two factors
Less than or equal to two factors
Answer:
(Exactly two factors)
Answer:(C) Exactly two factors
Step-by-step explanation:(C) Exactly two factors
Which number produces an irrational number when added to 0.4?
If correct will award!
Answer: C. 3π
Step-by-step explanation:
Since pi is irrational, (even multiples of pi) if π is added to any number, the sum is irrational.
The other choices are not irrational numbers.
√9 is 3 0.4444 repeating is the decimal equivalent of 4/9
2/7 is a fraction, and by definition all fractions with integers in the numerator and denominator [except 0] are rational numbers.
PLEASE HELP I DONT WANT TO FAIL
The IQ of 10 adults is measured, and the results are 83, 87, 90, 92, 93, 100, 104, 111, 115, 121. Find the range of the data set. (4 points)
A: 83−121
B: 38
C: 96.5
D: 204
Answer:
B
Step-by-step explanation:
range = biggest - smallest
121 - 83 = 38
range = 38
the correct answer is B: 38, representing the difference between the highest and lowest values in the data set, and it correctly reflects the range of the given IQ scores.
To find the range of the data set, we need to determine the difference between the highest and lowest values in the set. Given the IQ scores of the 10 adults as 83, 87, 90, 92, 93, 100, 104, 111, 115, and 121, the highest value is 121, and the lowest value is 83.
Thus, the range can be calculated as 121 - 83, which equals 38. Therefore, the correct answer is B: 38, representing the difference between the highest and lowest values in the data set, and it correctly reflects the range of the given IQ scores.
Learn more about range here
https://brainly.com/question/28677902
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if given f(x)=2x+5 what is f(4)
Answer:
13
Step-by-step explanation:
f(4) means you plug in 4 for x so 2(4) + 5 = 8 +5 = 13
Answer: 13
Step-by-step explanation:
Plug 4 into the position of x in your equation and solve.
Ahmed thinks: "√16 = 4 so √160 = 40" he is incorrect.
a. show that √160 is between 12 and thirteen is answered. the answer is 12.649110641.
b. write down the number of which 40 is the square root. this is what i want you guys to do please
Answer:
1600
Step-by-step explanation:
40 × 40 = 4 × 4 × 100 = 16 × 100 = 1600
(same amount of zeros behind the 1 as there are in the 40's together)
PLEASE IN DIRE NEED OF HELP I WILL GIVE BRAINLIEST
The perimeter of rectangle is 48 cm. Find the sides of the rectangle if one of the sides is 12 cm longer than the other.
Answer:
L=W+12
2L+2W=48
2(W+12)+2W=48
2W+24+2W=48
4W=48-24
4W=24
W=24/4
W=6 ANS. FOR THE WIDTH.
L=6+12=18 ANS. FOR THE LENGTH.
PROOF:
2*18+2*6=48
36+12=48
48=48
Answer:
6 cm by 18 cm
Step-by-step explanation:
use x and x+12
2(x) + 2(x+12)=48
2x +2x+24=48
4x+24=48
4x=24
x=6 and (6+12)=18
:)
If one angle of a set of vertical angles measures 63°, the sum of the vertical angles is °?
Answer:
126
Step-by-step explanation:
the answer is 126 degrees, °
write 9 and 23 as powers of 3
Answer:
9=3 to the power 2
23 -/
required answer
Three towns are linked by three straight roads. Loretta Adman has created a three-sided billboard that she wants to position as close as possible to all three roads. To do this, she needs to find the ____ of the triangle formed by the three roads.
Answer Choices:
Center
Incenter
Circumcenter
Answer:
c
Step-by-step explanation:
Loretta Adman needs to find the center of the triangle formed by the three roads.
What is Center, Incenter and Circumcenter of the triangle?
Incenter I, whose point is equidistant from the triangle's sides, and circumcenter O, whose point is equidistant from each of the triangle's vertices. A triangle center is a point in the plane that resembles the centers of squares and circles in some ways, meaning that it is roughly in the centers of the figure.
Given: Three towns are linked by three straight roads.
Loretta Adman has created a three-sided billboard that she wants to position as close as possible to all three roads.
The center is in the middle of the figure by some measure.
Therefore, Loretta Adman needs to find the center of the triangle formed by the three roads.
To know more about the Center, incenter and circumcenter, click on the link
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A pallet full of soda contains 40 12-packs. The pallet itself weighs about 25 lbs and with
the pop weighs 410 lbs. How much does a can of pop weigh?
Answer:
0.802 lbs or 12.8 ounces(British).
Step-by-step explanation:
Weight of the pop = 410 - 25 = 385 lbs.
40 12-packs contains 40*12 = 480 cans,
So the weight of one can = 385 / 480
= 0.802 lbs
or about 12.8 ounces(British).
HELP ME PLEASE!!!!!!!!
Answer:
sure with what
Step-by-step explanation:
is 5,690 divisible by 10
Answer yes 569
............................................
I really need help on this!!
Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Assume the interest rates are annual. Latoya borrowed $19,500 to buy a truck for her business. She borrowed from her parents who charge her 5% simple interest. She borrowed from a credit union that charges 4% simple interest, and she borrowed from a bank that charges 3% simple interest. She borrowed four times as much from her parents as from the bank, and the amount of interest she paid at the end of 1 yr was $870. How much did she borrow from each source
Answer:
p = $12,000
c = $4,500
b = $3,000
Step-by-step explanation:
Denote the variables as follows:
p = amount borrowed from parents
c = amount borrowed from the credit union
b = amount borrowed from the bank
The equations that can be formed using the given information are as follows:
p + c + b = 19500... (i)
p = 4b... (ii)
The formula to compute simple interest is:
SI = P × (R/100) × T
So, the equation for the total interest paid at the end of 1 year is:
0.05p + 0.04c + 0.03b = 870
5p + 4c + 3b = 87000... (iii)
Substitute (ii) in (i) and (iii) and simplify as follows:
4b + c + b = 19500
⇒ c + 5b = 19500... (iv)
5(4b) + 4c + 3b = 87000
⇒ 4c + 23b = 87000... (v)
Subtract (iv) from (v):
4c + 23b = 87000
(-)c + (-)5b = (-)19500 ] × 4
⇒
4c + 23b = 87000
-4c - 20b = -78000
⇒
3b = 9000
b = 3000
Compute the value of p as follows:
p = 4b = 4 × 3000 = 12000
p = 12000
Compute the value of c as follows:
p + c + b = 19500
12000 + c + 3000 = 19500
c + 15000 = 19500
c = 4500
Thus, the amount borrowed from each source is:
p = $12,000
c = $4,500
b = $3,000
The Fisher pool has 240 gallons of water and drains 10 gallons every hour. The Howard pool is 360 gallons and drains 40 gallons every hour. At what time will the two pools be the same number of gallons
Answer:
en cuanto la suma de respuesta
Step-by-step explanation:
Que vez de gallinas de =650
Which statement describes -1?
Answer:
-1 is part of integer numbers
Step-by-step explanation:
Because its a whole number and it has an additive inverse (which is +/-).
Solve the following equation for A. Be sure to take into account whether a letter is capitalized or not. b=f^2A+2HA
Answer:
A = [tex]\frac{b}{f^2+2H}[/tex]
Step-by-step explanation:
Given equation is,
b = f²A + 2HA
To solve this equation for the value of A we will isolate A in one side of the equation.
b = A(f² + 2H)
By dividing the equation by (f² + 2H) on both the sides of the equation.
[tex]\frac{b}{f^2+2H}=\frac{A(f^2+2H}{(f^2+2H)}[/tex]
A = [tex]\frac{b}{f^2+2H}[/tex]
Therefore, answer will be A = [tex]\frac{b}{f^2+2H}[/tex]
What is this?
5 + 10
Answer: 15
Step-by-step explanation:
The 3 in the 73.084 _ times the 3 in 65.732.
Answer:
it would be 3.0 times 0.03 so the answer is 0.9
Johnny was able to drive an average of 27 miles per hour faster in his car after the traffic
cleared. He drove 25 miles in traffic before it cleared and then drove another 104 miles. If the
total trip took 3 hours, then what was his average speed in traffic?
Answer: 40 mph
Step-by-step explanation: let s = speed in traffic
(s+17) = out of traffic
:
Write a time equation; time = dist/speed
traffic time + normal speed time = 4 hrs
46%2Fs + 80%2F%28%28s%2B17%29%29 = 4
multiply by s(s+17) to cancel the denominators
46(s+17) + 80s = 4s(s+17)
46s + 782 + 80s = 4s^2 + 68s
126s + 782 = 4s^2 + 68s
Arrange as a quadratic equation on the right
2s^2 - 29s - 391 = 0
Use the quadratic formula a=2; b=-29; c=-391
I got a positive solution of
s = 23 mph in traffic
:
:
:
Check this by finding the actual times. Normal speed: 23 + 17 = 40 mph
46/23 = 2 hrs in traffic
80/40 = 2 hrs at normal speed
----------------------------
total time 4 hrs
0 = 4s^2 + 68s - 126s - 782
4s^2 - 58s - 782 = 0
simplify, divide by 2
so the answer is 40mph
Use the model to help you find the product.
1
2
3
×
1
3
A model represents 1 and two-thirds.
Each big square is cut into 3 parts to represent multiplying by one-third.
The number of small shaded squares in the circled parts of each big square is the numerator of the product.
The total number of small squares in a single big square represents the denominator of the product.
The product is .
Help ASAP please
Answer:
5/9
Step-by-step explanation:
need help ASAP!!!!!!
The first three terms of an arithmetic sequence are as follows.
- 11, - 16, - 21
Find the next term in the sequence.
Answer:
-26
Step-by-step explanation:
What number is the opposite from 6.8
A. -6.8
B. 8.6
C. 68
D. -8.6
The answer is A. -6.8
types of quadratic equation
Answer:
1) Standard form: y = ax2 + bx + c where the a,b, and c are just numbers.
2) Factored form: y = (ax + c)(bx + d) again the a,b,c, and d are just numbers.
3) Vertex form: y = a(x + b)2 + c again the a, b, and c are just numbers.
