Answer:
1. 3 − 6n
2. Melody: m Fatima: 3m
3. i. Perimeter = y + 10 + 8
ii. The perimeter is 25 inches when y = 7
Step-by-step explanation:
1. Let the number be represented by n, thus the product of the number and 6 is 6n. Since 3 is less than 6n, therefore: 3 - 6n is the appropriate expression.
2. Let Melody's age be represented by m, Fatima is three times Melody's age implies 3m. So that Melody's age is m, while Fatima's age is 3m.
3. Length of the sides of the triangle in inches are 10, 8 and y.
Perimeter = addition of the length of sides of the triangle
= 10 + 8 + y
When y = 7,
Perimeter = 10 + 8 + 7
= 25 inches
Answer:
3-6n
Step-by-step explanation:
Write the sum of the numbers as the product of their GCF and another sum. But for 27 + 18. And put an answer that i can copy word for word for my homework. Thanks!
Answer: 9(3+2)
Step-by-step explanation:
The GCF of 27 and 18 is 9 because the factors of 27 are, 1,3,9 and 27 and the the factors of 18 are, 1,2,3,9 and 18.
The greatest factor that they both share is 9.
And 9 times three is 27 and 9 times 2 is 18.
20 POINTS TO BRAINLIEST!!! PLEASE HELPP!!!!
Answer:
A
Step-by-step explanation:
So we want to convert 59°F to Celsius using the given formula:
[tex]C=\frac{5}{9}(F-32)[/tex]
Thus, substitute F for 59:
[tex]C=\frac{5}{9}(59-32)[/tex]
Subtract:
[tex]C=\frac{5}{9}(27)\\[/tex]
Simplify:
[tex]C=\frac{135}{9}=15\textdegree F[/tex]
The answer is A
Answer:
[tex]\huge\boxed{15 \° C}[/tex]
Step-by-step explanation:
[tex]C = \frac{5}{9} ( F - 32)[/tex]
Where F = 59 °F
[tex]\sf C = \frac{5}{9} (59-32)\\C = \frac{5}{9} ( 27)\\C = 5 * 3\\C = 15 \ degrees \ Celsius[/tex]
Help please ASAP for 12pts
Will give brainliest please explain in simple terms
Answer:
25
Step-by-step explanation:
Hello, please consider the following.
[tex]\text{Let's note the 7 digits } x_i \text{ for }i = 0,1,2,3,4,5,6\\\\\text{We can write 7 equations as below.}\\\\(1) \ x_0+x_1+x_2+x_3=16\\\\(2) \ x_1+x_2+x_3+x_4=16\\\\(3) \ x_2+x_3+x_4+x_5=16\\\\(4) \ x_3+x_4+x_5+x_6=16\\\\(5) \ x_0+x_1+x_2+x_3+x_4=19\\\\(6) \ x_1+x_2+x_3+x_4+x_5=19\\\\(7) \ x_2+x_3+x_4+x_5+x_6=19[/tex]
This is the translation in mathematical equations.
(5)-(1) gives [tex]x_4=19-16=3[/tex]
(6)-(2) gives [tex]x_5=19-16=3[/tex]
(7)-(3) gives [tex]x_6=19-16=3[/tex]
So, by using (1)
[tex]x_0+x_1+x_2+x_3+x_4+x_5+x_6=(x_0+x_1+x_2+x_3)+3+3+3=16+9=25[/tex]
Thank you
PS: If we go a little bit further it is not so hard to find that the number actually is 3337333
If there are 35% women and 1560 men in a town find the total population of the town.
Answer:
2400Step-by-step explanation:
x - total of population
35%x - women
1560 - men
35%x + 1560 = x
0.35x + 1560 = x
1560 = x - 0.35x
0.65x = 1560
÷0.65 ÷0.65
x = 2400
Does this picture represent the real number system correctly? True False
Answer:
No
Step-by-step explanation:
There are no real numbers that are both rational and irrational, and there are no real numbers that are neither rational nor irrational. The diagram is misleading.
___
A question is not true or false. A statement is true or false. If the statement is, "this picture represents real numbers correctly," then it is FALSE.
Choose the equation that represents the solutions of 0 = 0.25x2 - 8x.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
How long would it take for a car yo travel 200 km if it has the average speed of 55 km/HR
Answer:
3.64 hr, or 3 hr 38 min
Step-by-step explanation:
Recall that distance = (rate)(time). Thus,
time = (distance) / (rate)
Here we have:
time = (200 km) / (55 km/hr) = 3.64 hr, or 3 hr 38 min
PLEASE HELPPP!!!!
Solve -2x-14=7X+6 for x. Round your answer to the nearest tenth.
Answer:
x = -2.2Step-by-step explanation:
[tex]-2x-14=7x+6\\\\\mathrm{Add\:}14\mathrm{\:to\:both\:sides}\\-2x-14+14=7x+6+14\\\\Simplify\\-2x=7x+20\\\\\mathrm{Subtract\:}7x\mathrm{\:from\:both\:sides}\\-2x-7x=7x+20-7x\\\\Simplify\\-9x=20\\\\\mathrm{Divide\:both\:sides\:by\:}-9\\\frac{-9x}{-9}=\frac{20}{-9}\\\\x=-\frac{20}{9}\\\left(\mathrm{Decimal}:\quad x=-2.22222\dots \right)\\x =-2.2[/tex]
Answer:
x = -2.2
Step-by-step explanation:
-2x - 14 = 7x + 6
-2x - 7x = 6 + 14
-9x = 20
x = 20/-9
x = -2.2222
x = -2.2 (nearest tenth)
Check
-2*-2.2 - 14 = 7*-2.2 + 6
4.4 - 14 = -15.4 + 6 = -9.6
true or false 1+6=5+2 true or false ? ;-;
Answer: True
Step-by-step explanation: both equal 7
SOMEONE PLZ HELP
I need an explanation of how it’s supposed to work too. Thx
Tom 84 more pieces of fruit and Janet Sylvia ate twice as many pieces of fruit as Tom. X represents the number of pieces of fruit that Janet ate. write an expression to represent the amount of fruit that Sylvia ate
Answer:
2(x+4)
Step-by-step explanation:
Tom ate four more pieces of fruit than Janet. Sylvia ate twice as many pieces of fruit as Tom. If x represents the number of pieces of fruit that Janet ate, write an expression to represent the amount of fruit that Sylvia ate.
Janet: (X)
Tom: X+4
Sylvia: 2(X+4)
I started by making listing out who did what. Janet is stated as clearly X, so that's all we need for her.
The question says Tom ate four more pieces of fruit than Janet. This is simple addition since you're adding four to Janet's amount of fruit. Therefore this makes Tom's equation X+4.
Then Sylvia eats TWICE the amount as Tom. In simpler terms, she's doubling the amount of food Tom eats. Doubling something is simply multiplying it by two. Therefore, we take Tom's amount eaten, which we made into an equation in the paragraph before this one, and multiply it by two.
Placing parenthesis around Tom's equation means that that part is solved before its multiplied. We do this because we need to acknowledge that X+4 is its own equation that needs to be clarified/solved before being doubled. So, the answer is 2(X+4)
want brainliest pick a number 1-3 first to answer gets it
Answer:
3
Step-by-step explanation:
3 because 3 is a good number....lol
Please anybody, help me
Answer:
[tex]k=5.2[/tex]
Step-by-step explanation:
So we have the equation:
[tex]9.3=k+4.1[/tex]
To solve for k, subtract 4.1 from both sides:
[tex](9.3)-4.1=(k+4.1)-4.1[/tex]
The right cancels. Simplify the left:
[tex]5.2=k\\k=5.2[/tex]
Thus, the value of k is 5.2
Answer:
[tex]\huge \boxed{k=5.2}[/tex]
Step-by-step explanation:
[tex]9.3=k+4.1[/tex]
Subtract 4.1 from both sides.
[tex]9.3-4.1=k+4.1-4.1[/tex]
[tex]5.2=k[/tex]
Which expression is equivalent to -36 - 8?
Answer:
-44
Step-by-step explanation:
What’s the constant 15-8y?
Answer:
15
Step-by-step explanation:
A biologist puts an initial population of 500 bacteria into a growth plate. The population is expected to double every 4 hours. Write the equation that will give the expected number of bacteria, n, after x days. (24 hours = 1 day)
Answer:
[tex]n = 500e^{-4.1589x}[/tex]
Step-by-step explanation:
Using the exponential growth equation [tex]N(t) = N_0e^{-kt}[/tex] where;
N₀ is the initial population of the bacteria
N(t) is the population of the bacteria during time t
If a biologist puts an initial population of 500 bacteria into a growth plate, this means that N₀ = 500 at t = 0
[tex]N(t) = N_0e^{-kt}\\N(t) = 500e^{-k(0)}\\N(t) = 500e^0\\N(t) = 500[/tex]
If the population is expected to double every 4 hours, this means when t = 4, N₀ = 2(500) = 1000
[tex]N(t) = N_0e^{-kt}\\500 = 1000e^{-4k}\\\frac{500}{1000} = e^{-4k}\\0.5 = e^{-4k}\\ln(0.5) = lne^{-4k}\\ln(0.5) = -4k\\k = \frac{ln0.5}{-4} \\k = 0.1733[/tex]
The equation that will give the expected number of bacteria, n, after x days, can be gotten by substituting N(t) = n and t = x days = 24x hours
[tex]N(t) = N_0e^{-kt}\\n = N_0e^{-0.1733(24x)}\\n = 500e^{-4.1589x}[/tex]
Hence the equation that will give the expected number of bacteria, n, after x days is [tex]n = 500e^{-4.1589x}[/tex]
Help idk the answer and it’s due tomorrow
Answer:
C. 14%
Step-by-step explanation:
We know that Dallas's wage increased from $9 to $10.25.
Let's say the percent increase is x. Then we write the expression:
9 + x * 9 = 10.25
Divide by 9 from both sides:
1 + x = 10.25 / 9 ≈ 1.14
Subtract 1 from both sides:
x = 1.14 - 1 = 0.14
Since x is a percent, that means x = k/100, where k is an integer. So we have:
x = k/100 = 0.14
Multiply both sides by 100:
k = 0.14 * 100 = 14%
The answer is thus C.
~ an aesthetics lover
Answer:
C.14%Step-by-step explanation:
[tex]Original\:price = \$9\\New\:price =\$10.25\\\\Increase = 10.25-9\\Increase = 1.25\\\\Increase \: \% = \frac{Increase}{Original \:price} \:\times 100\\\\= \frac{1.25}{9} \times 100\\\\= \frac{125}{9}\\ \\= 13.888\\= 14\%[/tex]
evaluate n/6+2 when n=12
Answer:
4
Step-by-step explanation:
Answer:
[tex] \frac{3}{2} \: or \: 1.5 [/tex]
Step-by-step explanation:
[tex] \frac{12}{6 + 2} = \frac{12}{6 + 2} = \frac{12}{8} = \frac{6}{4} = \ \frac{3}{2} \: or \: 1.5[/tex]
A man has a total of 200 apples divided evenly among 5 boxes. How many apples are in each box?
If the total number of apples is A and the number of boxes is B, write an equation to solve for the amount
of apples in each box. (You should probably have some sort of ratio or fraction with the letters A and B written,
as well as any numbers you may need)
#apples in each box =
Step-by-step explanation:
Number of apples = A
Number of boxes = B
Amount of apples in each box
[tex] =\frac{A}{B}\\
=\frac{200}{5}\\
= 40[/tex]
Solve the system of equations using substitution or elimination: 2x – y = 0 x + 3y = -14
show your work please
Answer:
x = -2 , y= -4Step-by-step explanation:
[tex]\begin{bmatrix}2x-y=0\\ x+3y=-14\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:2x-y=0:\quad x=\frac{y}{2}\\\\\mathrm{Subsititute\:}x=\frac{y}{2}\\\\\begin{bmatrix}\frac{y}{2}+3y=-14\end{bmatrix}\\\\\mathrm{Simplify}\\\\\begin{bmatrix}\frac{7y}{2}=-14\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{7y}{2}=-14:\quad y=-4\\\\\mathrm{For\:}x=\frac{y}{2}\\\\\mathrm{Subsititute\:}y=-4\\x=\frac{-4}{2}\\\\\frac{-4}{2}=-2\\\\x=-2,\:y=-4[/tex]
Answer:
(-2,-4)
Step-by-step explanation:
2x-y=0
-2(x+3y=-14)
-2x-6y=28
x terms cancel
-y+-12y=-13y
0+28=28
-7y=28
28/-7
y=-4
plug into the orginal equation
2x-(-4)=0
simply: 2x+4=0
elimante the 4
2x=-4
divide by 2
x=-2
-10x-5=-125
find what x is
Answer: x=12
Step-by-step explanation:
Given
-10x-5=-125
Add 5 on both sides (addition property of equality)
-10x=-120
Divide -10 on both sides (division property of equality)
x=12
Hope this helps!! :)
Please let me know if you have any question
Answer: X=12
Step-by-step explanation:
Clear the X first to solve this problem
-10x - 5 = -125
125 - 5 = 10x
120/10 = x
12 = x
3 coins are tossed simultaneously. what is the probability of getting 3 heads or 3 tails?
Answer:
3/6
Step-by-step explanation:
A coin has 2 sides
3 coins = 6 sides
3 heads 3 tails
3 chances out of 6 to get heads
3 chances out of 6 to get tails
3/6 for both
Can someone pls help
Answer:
the answwr is C. the sum is zero
Find the coordinates of the midpoint M and the distance between J(4,3) and K(2,-3)
Answer:
(3,0)
Step-by-step explanation:
Co-ordinates of J =(4,3)
Co-ordinates of K = (2,-3)
Midpoint formula :
= [tex]\frac{x_{1}+x_{2} }{2} , \frac{y_{1} +y_{2} }{2} \\ \frac{4+2}{2} ,\frac{3+(-3)}{2}\\\frac{6}{2},\frac{3-3}{2}\\3, 0[/tex]
Coordinates of the midpoint M (3,0)
The coordinates of the midpoint M is (3,0) and the distance between J(4,3) and K(2,-3) is 6.32 units.
What is distance formula?The distance between two points of the xy-plane can be found using the distance formula. The distance formula is:
√[(x₂ - x₁)² + (y₂ - y₁)²].
Now given coordinates of two points are,
J(4,3) and K(2,-3)
Therefore we have,
x₁ = 4
y₁ = 3
x₂ = 2
y₂ = -3
To find the midpoint between J and K we have,
{[(x₁+x₂ )/2] , [(y₁+y₂ )/2]}
Put the values, we get
{[(4+2)/2] , [(3+(-3)/2]}
solving them,
{(6/2) ,(0/2)}
or,
(3,0)
which is the required midpoint M.
Now distance between J(4,3) and K(2,-3) = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(2 - 4)² + (-3 - 3)²]
= √[(- 2)² + (-6)²]
= √4 +36
= √40
= 6.32 units
Thus, the coordinates of the midpoint M is (3,0) and the distance between J(4,3) and K(2,-3) is 6.32 units.
To learn more about midpoints :
https://brainly.com/question/15192654
#SPJ2
Simplify (1 − cos x)(1 + cos x)
Step-by-step explanation:
(1 − cos x)(1 + cos x)
1 − cos²x
sin²x
help pls brainliest plus 10 pts
i think its -15 can u check ?
Answer:
-15 meters
Step-by-step explanation:
If it goes up 50 meters from the ground, it will be 0+50 which is 50.
Then it says it drops 65 meters into an underground tunnel. So at 50 meters, it dropped 65 meters. That means you subtract this: 50-65, which equals -15 meters because 50 goes into 65 but there is still 15 left, so the 15 is negative.
The ground level is at 0. And we just found out that the tunnel is at -15 meters. To find out how many meters the tunnel is below the ground, just do 0-15, which is still -15 meters. :)
The base of a triangle is 2 feet less than its height. Its area is 12 square feet. Find its base and height.
Answer:
Height of the triangle is 6 feet and base of the triangle is 4 feet.
Step-by-step explanation:
Area of a triangle is given by the formula,
Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
Let the height of triangle = h feet
Since, base of the triangle is 2 feet less than its height then base of the triangle = (h - 2) feet
Area = [tex]\frac{1}{2}h(h-2)[/tex]
[tex]12=\frac{1}{2}h(h-2)[/tex]
h² - 2h - 24 = 0
h² - 6h + 4h - 24 = 0
h(h - 6) + 4(h - 6) = 0
(h + 4)(h - 6) = 0
h = -4, 6 feet
Since height of the triangle can not be negative, therefore, height of the triangle = 6 feet.
And base of the triangle = (h - 2) = 6 - 2
= 4 feet
Height of the triangle is 6 feet and base of the triangle is 4 feet.
HElp me please!!! IVE HAD TROUBLE W THIS SINCE 11
Answer:
Nocomplanar? Right because they’re not all in the same place?
Step-by-step explanation:
ao efetuar a divisão entre dois numeros inteiros positivos, obteve como resultado a dizima periodica 0,57. para obter um numero natural maior que essa dizima, tem que adicionala a que fração
Answer:
I will answer in English:
We first have a rational number, the quotient between 2 positive integer numbers is 0.57....
And we want to find which number we should add in order to get 1.
Then we have:
A/B = 0.5757...
So if we have:
x = 0.5757....
we have two periodic decimals, then we multiply by 100 (the number of zeros is equal to the number of periodic decimals)
100*x = 57.575757
Now we subtract the original number:
100*x - x = 99*x = 57.575757... - 0.5757 = 57.
Then we have:
99*0.5757... = 57
0.575757... = 57/99
Now that we know the original fraction, if we want to find a fraction such that:
0.57... + a/b = 1
57/99 + a/b = 1
we should use the same denominator in both fractions:
b = 99
57/99 + a/99 = 1
57 + a = 99
a = 99 - 57 = 42
Then the fraction is 42/99
Juanita and Lydia are each making lemonade. Juanita's recipe calls for 4 parts lemon juice to 2 parts sugar syrup. Lydia's recipe calls for 5 pets lemon juice to 3 parts sugar syrup. Which recipe has a stronger lemon flavor? WILL GIVE BRAINLIEST!!!