Answer:
Hence the positive numbers are 246, and 41
(246, 41)
Step-by-step explanation:
From the question,
One positive number is 6 times another numberLet the first positve number be [tex]x[/tex]
and the other number be [tex]y[/tex]
Hence,
[tex]x = 6y[/tex] ....... (1)
Also,
The difference between the two numbers is 205That is,
[tex]x - y =205[/tex] ........(2).
To solve for the two unknowns, substitute the value of [tex]x[/tex] in equation (1) into equation (2).
Since,
[tex]x = 6y[/tex]
Then
[tex]x - y =205[/tex] becomes
[tex](6y) - y =205\\[/tex]
Then,
[tex]6y - y = 205\\5y = 205\\[/tex]
Divide both sides by 5
[tex]\frac{5y}{5} = \frac{205}{5} \\ y = 41\\[/tex]
∴ the value of [tex]y[/tex] is 41
Now, substitute the value of y into equation (1) to find [tex]x[/tex]
Then,
[tex]x = 6y[/tex] becomes
[tex]x = 6(41)\\x = 246\\[/tex]
∴ the value of [tex]x[/tex] is 246
Hence the positive numbers are 246, and 41
(246, 41)
Se quieren repartir 21 chocolates entre 4 chicos en partes iguales y sin que sobre nada, cuantos chocolates recibira cada uno?
Answer: Cada chico recibira 5.25
The square of a whole number is between 6400 and 7000. The number must be between ?
Answer:
80 and 83.6660026534
Step-by-step explanation:
The square root of 6400 is 80 and the square root of 7000 is 83.6660026534 so it would be between these two.
hi, please help me out :)) thank you
Answer:
d =32
Step-by-step explanation:
[tex]\sqrt{7d+1}-4=11\\\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\\sqrt{7d+1}-4+4=11+4\\\\Simplify\\\sqrt{7d+1}=15\\\\\mathrm{Square\:both\:sides}:\quad 7d+1=225\\7d+1=225\\\\\mathrm{Solve\:}\:7d+1=225:\\\quad d=32[/tex]
Answer:
d = 32
Step-by-step explanation:
[tex]\sqrt{7d-1} -4+4=11+4[/tex]
[tex]\sqrt{7d-1} =15[/tex]
[tex]7d+1=15 *15[/tex]
[tex]7d+1=225[/tex]
[tex]7d=225-1[/tex]
[tex]7d=224[/tex]
[tex]d=\frac{224}{7}[/tex]
[tex]d=32[/tex]
Pete is purchasing a smart phone for $249.30 he gives the sales clerks 3 fifty-dollar bills 4 twenty-dollar bills, and 4 five-dollar bills. how much should he receive in change
∠A and ∠B are two supplementary angles such that ∠A= x° and ∠B= (2x+30)°. Find the measure of ∠B.
Answer: 130°
Step-by-step explanation:
supplementary angle: ∠A+∠B=180°
x+(2x+30)=180
x+2x+30=180
3x+30=180
3x=150
x=50
2(50)+30=100+30=130°
Hope this helps!! :)
Please let me know if you have any question
What is the range of the function represented by the graph?
Answer:
B) {1,2,3,4}
Step-by-step explanation:
Since they are separate points and not on a function, you take the y value of each
Really struggling with this one. Can someone help please?
Answer:
12
Step-by-step explanation:
M is in the middle between S and T we know 2x+6 has to be the same as 3x+3 if 3x is one more x then 2x then we do 6-3 that eqauls 3 so X=3 and 2*3=6 and 6+6= 12.
Hey there! :D
Answer:
[tex]\huge\boxed{SM = 12}[/tex]
SM = 2x + 6
MT = 3x + 3
M is the midpoint of SM
Write an expression to represent the length of ST:
ST = SM + MT
ST = 2x + 6 + 3x + 3
Combine like terms:
ST = 5x + 9
Since ST = 2(SM), set up another equation:
5x + 9 = 2(2x + 6)
5x + 9 = 4x + 12
Isolate the "x" variable:
5x - 4x = 12 - 9
x = 3.
Substitute in this value of "x" into the equation for SM:
2(3) + 6 = 12.
Make p the subject of the formula
y = 3p2 - 4
Answer:
p =√(y+4)/3
Step-by-step explanation:
y=3p^2-4
so 3p^2=y+4
then p^2=(y+4)/3
so p =√(y+4)/3
Answer:
Step-by-step explanation:
y=3p^2-4
so 3p^2=y+4
then p^2=(y+4)/3
so p =√(y+4)/3
I need help with geometry one my question is construct AD congruent to JK
Answer:
use your compass to copy the length to a new line
Step-by-step explanation:
To make a line segment that has the same length as another, set your compass width to the length of the one you want to copy, and use that to mark the length on the line where you want your copy.
Use a straightedge to draw a line longer than JK.
Label a point on that line A.Set your compass to the length JK.Mark that length from point A on the line you drew. Label the mark D.AD is congruent to JK.
The sum of 2 and the square of a number r
Answer:
[tex] {r}^{2} + \: 2[/tex]
Step-by-step explanation:
Let the no. be r . It's square will be r^2 .
When r^2 is added with 2 , then it's sum is r^2 + 2
In the given figure <abc = 90 degree and CA=2BC.Find the measure of <BAC
Answer:
the value of <BAC= 30° ...
Average Weight Animal At Birth (g) Adult Female(g) Adult Male (g) Hamster 2 120 110 Guinea pig 65 800 1,030 Rat 7 265 470 On average, a hamster at birth weighs 2 3 the weight of a gerbil at birth. Enter and solve an equation to find the average weight of a gerbil at birth. Let g represent your variable. The equation is . The average weight of a gerbil at birth is g.
Answer:
The answer is below
Step-by-step explanation:
An equation is a mathematical statement that shows the equality between two expressions.
From the table, the average weight of the hamster at birth is 2 grams. The average weight of gerbil at birth is 2/3 of that of hamster. Let g represents the weight of the gerbil at birth, hence the weight can be gotten by solving the equation:
2/3 of hamster weight at birth = Average weight of gerbil at birth
2/3 × 2 grams = g
g = 2/3 × 2 grams = 4/3 grams = 1.33 grams
The average weight of gerbil at birth = 1.33 grams
Elliott put 7 cups of tea in to a jar. How many more cups of tea does he need to fill up the jar? Capacity: 4 quarts (1 quart = 4 cups)
Answer:
9 cups
Step-by-step explanation:
1 quart= 4 cups
4 quart= ? cups (crisscross)
4 quart=16 cups
16-7= 9 cups
1.414 is an ? for the square root of 2
Answer:
1.999396
Step-by-step explanation:
square of 1.414=1.999396
square root of 1.999396=1.414
please solve quick as posible
Answer:
m+p/2=n
Step-by-step explanation:
You can't get any other multiplication factor, so the only way is to isolate n, by adding p to m and dividing by 2
3a - 6a + 20 = 8a + 24 - 5a - 4
Step-by-step explanation:
-3a + 20 = 3a + 20
-6a + 20 = 20
-6a = 0
a = 0
Answer: a=0
Step-by-step explanation:
Given
3a-6a+20=8a+24-5a-4
Combine like terms on both sides
-3a+20=3a+20
Subtract 3a on both sides (subtractive property of equality)
-6a+20=20
subtract 20 on both sides (subtractive property of equality)
-6a=0
Divide -6 on both sides (division property of equality)
a=0
Hope this helps!! :)
Please let me know if you have any question or need further explanation
Estimate the product of 53 x 73.
Answer:
3500
Step-by-step explanation:
53 is closer to 50 and 73 is closer to 70, so 50*70 is 3500, which is the closer bet.
Liset ran 17 miles in 204 minutes. How long would you except it to take her run 8 miles?
Answer:
96 minutes.
Step-by-step explanation:
17 miles = 204 minutes
1 mile = ?
204/17 = 12 minutes
1 mile = 12 minutes
8 miles = ?
8 × 12 = 96 minutes
It would take Liset 96 minutes to run 8 miles.
8b - 5r use b = 6 and r = 3
Answer:
33
Step-by-step explanation:
8b - 5r
Let b = 6 r = 3
8*6 - 5*3
48 - 15
33
Answer:
33
Step-by-step explanation:
So we have the expression:
[tex]8b-5r[/tex]
And we want to evaluate it when b is 6 and r is 3. Substitute:
[tex]=8(6)-5(3)[/tex]
Multiply:
[tex]=48-15[/tex]
Subtract:
[tex]=33[/tex]
And that's our answer :)
3) Choose the prime factorization of 15.
O 11,4
O 5,5,5
O 3,5
O 2, 2, 11
05.10
Hey there! I'm happy to help!
A prime number is a number whose only factors are one and itself. 5 is a prime number because the only whole numbers you can multiply to get 5 are 1 and 5.
Prime factorization is finding the prime numbers that multiply to make that number.
To do this, you see what numbers it divides by. 15 is divisible by 1, giving us 15. It is not divisible by 2, but it is divisible by 3, which gives us 5.
Now, we see if 3 and 5 can be factorized even more, but they cannot as they are both prime numbers. Therefore, the prime factorization of 15 is 3,5.
Have a wonderful day! :D
what is the sum of the arithmetic series: s10 = -20, d = 4, a1 =?
Answer:
first term a1 is -40.
Step-by-step explanation:
in an arithmetic series,
sum of first term terms (S10) = -20
Common difference (d) = 4
first term (a)= ?
number of terms (n)= 10
now,
S10 =( n÷2) [a1 +(n-1) d]
or, -20 = (10÷2) [a1 + (10-1) 4]
or, -20 = 5 ( a1 + 36)
or, -4 = a1 + 36
or, a1 = -40
[tex]\blue\star[/tex]s10 = -20
[tex]\blue\star[/tex]n = 10
[tex]\blue\star[/tex] an = -20
[tex] \green\star[/tex] solution
[tex] \green\star[/tex]s10 = n\2 [a+(n-1)d]
[tex] \green\star[/tex]-20 = 10a2[a+(10-1)4]
[tex] \green\star[/tex]-4 = a +36
[tex] \green\star[/tex]a1 = -40
[tex]\small\boxed{a = -40}[/tex]
Hope it helps.
Hope it helps
find the average rate of change for the interval 2,4
Answer:
8
Step-by-step explanation:
It went from 7 to 15?
What number is 0.72 more than 0.971?
Answer:
1.691
Step-by-step explanation:
.971 + .72
Answer:
1.691
Step-by-step explanation:
What number is 0.72 more than 0.971?
To solve your question, you're gonna have to add the two numbers together.
[tex]0.72+0.971[/tex]
0.971
+0.72
_______
1
0.971
+0.72
_______
91
0.971
+0.72
_______
691
1
0.971
+0.72
_______
1.691
So your answer is
[tex]1.691[/tex]
Hope this helped!
What is the slope of
3y = -4x + 6
Answer:
Hey there!
3y=-4x+6
y=-4/3x+2
Thus, the slope is -4/3.
Hope this helps :)
Answer:
the slope is -4/3
Step-by-step explanation:
3y = -4x + 6
y=-4/3 x +6/3
y=-4/3 x+2
the slope is -4/3
A group of boys went on a camping trip. They spent the night in 5 tents and 4 cabins. There were 9 boys in each tent and 7 boys in each cabin. How many boys went on the trip?
Answer:
Step-by-step explanation:
In a tent, there are nine boys.
There were five tents.
5 tents containing 9 boys can equal 45 boys.
(5 x 9 = 45)
In a cabin, there are seven boys.
There were four cabins.
4 cabins containing 7 boys can equal 28 boys.
(4 x 7 = 28)
Now, to find all the boys, add the numbers together.
28 boys with 45 boys will equal 73 boys.
Please check my answer for no one, not even me is right.
Good luck :)
A car covers a distance of 200 m. If its velocity is 20 m/s, calculate the
time taken.
Answer:
10 seconds
Step-by-step explanation:
Distance = 200 m
Velocity = 20m/s
Time =?
[tex]time = \frac{distance}{velocity} \\ time = \frac{200m}{20m/s} \\ time = 10 \: seconds[/tex]
solve the following in simultaneous equations with the help of steps. x/7 + y/3 = 5,x/2 - y/9 = 6
Answer:
(14, 9 )
Step-by-step explanation:
Given
[tex]\frac{x}{7}[/tex] + [tex]\frac{y}{3}[/tex] = 5 ( multiply through by 21 to clear the fractions )
3x + 7y = 105 → (1)
[tex]\frac{x}{2}[/tex] - [tex]\frac{y}{9}[/tex] = 6 ( multiply through by 18 to clear the fractions )
9x - 2y = 108 → (2)
Multiplying (1) by - 3 and adding to (2) eliminates the term in x
- 9x - 21y = - 315 → (3)
Add (2) and (3) term by term to eliminate x
- 23y = - 207 ( divide both sides by - 23 )
y = 9
Substitute y = 9 into either of the 2 equations and evaluate for x
Substituting into (1)
3x + 7(9) = 105
3x + 63 = 105 ( subtract 63 from both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Solution is (14, 9 )
Who is estimated at 250 people would attend the movie but 255 people actually attended what is the percent error to the nearest percent of the estimate
Answer:
Percent error = 2%
Step-by-step explanation:
Given:
Expected value = 250
Actual value = 255
Find:
Percent error
Computation:
Percent error = [(Actual value - Expected value)/Expected value]100
Percent error = [(255 -250) / 250]100
Percent error = 2%
Answer:
Its 6% because |E−T||T|×100
=(250−235)|235|×100
=15235×100
=0.0638298×100
=6.38298%
=6.38298%error
Step-by-step explanation:
Explain the general steps to adding any two polynomials.
Answer:
Below
Step-by-step explanation:
● Make sure you write the polynomials correctly. Pay attention to the + and - signs.
● Combine like terms: variables with variables and constants with constants
● Combine the variables with the same power. For example 2x^2 with 5x^2
● write the terms left after combining
what are dense rational numbers
Answer:
The rational numbers are a dense subset of the real numbers because every real number either is a rational number or has a rational number arbitrarily close to it.
Answer:
Informally, for every point in X, the point is either in A or arbitrarily "close" to a member of A — for instance, the rational numbers are a dense subset of the real numbers because every real number either is a rational number or has a rational number arbitrarily close to it (see Diophantine approximation).