Answer:
n = 4
Step-by-step explanation:
We can expand, getting 10 + 5n = 3n + 18.
Then, combine all like terms, getting 5n - 3n = 18 - 10, which can be rewritten as 2n = 8.
Solve this by dividing both sides by 2, and get n = 4.
Answer: so its n=4
Step-by-step explanation: This problem will require distribution
5(2+n) = 3(n+6)
10+5n=3n+18
Move all the variables on one side
5n-3n=18-10
2n=8
Divide by 2
n=4
5 ( 2 + n ) = 3 ( n + 6 )
First distribute the 5 and the 3. By doing that, your equation should look like
10 + 5n = 3n + 18 Now, subtract 3n from both sides, this way all the " n " would be on the same side making it easier to solve
By subtracting 3n from both sides the equation would be
10 + 2n = 18 Now subtract 10 from both sides
By subtracting 10 from both sides your equation should be
2n = 8 Divide 2 from both sides
By dividing your equation should look like
n = 4 which is your answer
PLEASE HELP FAST
Which of the following is a quadratic equation written in standard form?
5x−15=0
7x2−15=32x
8x2−10x=0
6x2=14−17x
Answer:
8x^2 - 10x = 0
Step-by-step explanation:
Standard format of a quadratic equation :
ax^2 + bx + c = 0
i can’t find the slope
Answer:
slope = for every +3x there is a gain of +6y. so slope is 2.
Step-by-step explanation:
The length of a rectangle is 6 inches more than the width. The perimeter of the rectangle can
be no more than 48 inches. What is the maximum length?
Answer:
15 inches
Step-by-step explanation:
Hello!
To find the perimeter of a rectangle we have to add all the sides
l + l + w + w = p
We know the length is 6 inches more than the width
l = w + 6
We can put w + 6 for l
w + 6 + w + 6 + w + w = p
We can simplify this
4w + 12 = p
The perimeter is no more than 48
4w + 12 = 48
Subtract 12 from both sides
4w = 36
Divide both sides by 4
w = 9
Now we can put 9 in for w in the equation to find the length
l = 9 + 6
l = 15
The answer is 15 inches
Hope this helps!
5x when x=7 ......... NEED HELP
Answer:
35
Step-by-step explanation:
5 x 7 = 35
Answer:
35
Step-by-step explanation:
The equation is 5x. When the value of x is 7, you multiply 5*x or 5*7. This gives you 35.
help -8(9n-10) -20 a. 90n+54 b. -72n+60 c. -17n – 80 d. -160n
Answer:
1) -8(9n-10) - 20
-72n + 80 - 20
-7n + 60
Can't factor
2) 90n+54
18(5n+3)
3) -72n+60
-12(6n-5)
4) -17n - 80
Can't factor
5) -160n
Can't factor
Answer:
B. -72n+60
Step-by-step explanation:
We are given the expression:
-8 (9n-10) -20
We want to simplify the expression. First, distribute the -8.
Multiply each term inside the parentheses by -8.
(-8 * 9n) + (-8*-10) -20
-72n + (-8 * -10) -20
-72n + 80 -20
Next, combine like terms. Currently, we have two constants (terms without variables) that can be combined.
Subtract 20 from 80.
-72n + (80-20)
-72n + 60
The expression: -8(9n-10)-20, simplified is -72n+60. Therefore, the correct answer is B. -72n+60
how is 0.004 the same and different from 0.444
Answer:
Step-by-step explanation:
0.004 and 0.444
both have 4 in the thousandth place, both are in thousandth place
different: 0.444 is greater than 0.004
when divide by 1000:
444/1000 is greater than 4/1000
if convert to percentage :
0.444 is 44.4%
0.004 is 0.4%
10 points :) Thanks sm! (attached below)
Answer:
Average : 10,724.2857 miles
Step-by-step explanation:
To determine the mean we can simple find the average, adding all the miles the car has traveled, over the number of days. See working below -
[tex]\frac{10150+10211+10424+10769+10884+11155+11477}{7}[/tex]
Adding the numerator values : [tex]10150+10211+10424+10769+10884+11155+11477=75070[/tex]
[tex]\frac{75070}{7} = 10724.28571\dots[/tex]
Ling traveled an average of about 10,724.2857 miles.
easy 10 points and brainliest :)
Answer:
Quadrant IV
Step-by-step explanation:
If x > 0 the we are in quadrants 1 or 4
If Y < 0 we are in quadrants 3 or 4
Since both are true, we are in quadrant 4
Quadrant 2
x axis is left to right
y axis is up and down
9) The area of a rectangle is given by the trinomial x? - 2x - 35. What are
the possible dimensions of the rectangle? Hint: Find the length and the
width by factoring the area.
Answer:
Step-by-step explanation:
x² - 2x - 35
(x - 7)(x + 5)
x - 7 = 0 ; x + 5 = -5
x = 7, -5
Triangle has a leg that Triangle has a leg that measures 20 units and a hyptenuse that measures 25 units what is the length of the third side
Answer:
15Step-by-step explanation:
Hypotenuse = 25
Opposite=20
Adjacent =?
Use Pythagoras Theorem :
[tex] {hypotenuse}^{2} = {opposite}^{2} + {adjacent}^{2} [/tex]
Input values
[tex] {25}^{2} = {20}^{2} + {x}^{2} \\ 625 = 400 + {x}^{2} \\ 625 - 400 = {x}^{2} \\ 225 = {x}^{2} [/tex]
Square root both sides
[tex] \sqrt{225} = \sqrt{ {x}^{2} } \\ 15 = x \\ x = 15[/tex]
Find the total surface area. A. 2,016 km² B. 6,156 km² C. 1,368 km² D. 165 km²
Answer:
[tex]\boxed{A. 2,016 km^2}[/tex]
Step-by-step explanation:
Hey there!
TSA is calculated using,
TSA = 2wl + 2lh + 2hw
Plug in the given info.
w = 18
l = 18
h = 19
TSA = 2(18)(18) + 2(18)(19) + 2(19)(18)
TSA = 648 + 684 + 684
TSA = 2,016km²
Hope this helps :)
The total surface area of the cuboid is km². Therefore, option A is the correct answer.
The given dimensions are length=19 km, width=18 km and height=18 km.
We need to find the total surface area of the given cuboid.
What is the formula to find the total surface area?Total surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, TSA=2lw+2lh+2hw, to find the surface area.
Now, TSA = 2(18)(18) + 2(18)(19) + 2(19)(18)
TSA = 648 + 684 + 684=2016 km²
The total surface area of the cuboid is km². Therefore, option A is the correct answer.
To learn more about the total surface area of the cuboid visit:
https://brainly.com/question/27537575.
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Find the value of 5 times 2^3
Answer:
40
Step-by-step explanation:
5 times 2^3=
5 times 8=
40
4. Fatore as expressões. a) 4x4y2 –6x3y3 +8x2y4 = b) 18ab3c² +27a3b4c3 -9a2b5c4 -45a2b3c2 = c) a2+3ab-2ac-6bc= d) x3–3x2y2 +6y3 – 2xy = e) x2 +z+x3y+xyz=zx2 -z2 = f) a4b6-9c2 = g) 9a4-b4 = h) 25x6 + 10x3y+y2 = i) 49x4 +14x2 +1= j) 20a2b2 – 2a4 – 50b4 =
Answer:
don't ask many questions at 1time
John bought three thermos flask at a total of st 1080 he later sold at 400 each what was his percentage
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf {11.11\%}}}}[/tex]
Step-by-step explanation:
Given,
Cost price of three thermos flask = 1080
Selling price of each thermos flask = 400
Finding the selling price of three thermos flask
Since, the cost of 3 thermos flask is more than that of 1 thermos flask. So, the cost of 1 thermos flask is multiplied by 3 ( i.e 400 × 3 = 1200 )
Here, the selling price is greater than cost price.
So, there is profit.
And we know that,
[tex] \sf{profit = sp \: - \: cp}[/tex]
⇒[tex] \sf{1200 - 1080}[/tex]
⇒[tex] \sf{120}[/tex]
Profit amount = 120
Finding the profit percentage
[tex] \sf{profit\% \: = \frac{profit}{cp} \times 100 \%}[/tex]
⇒[tex] \sf{ \frac{120}{1080 } \times 100\%} [/tex]
⇒[tex] \sf{11.11\%}[/tex]
Hope I helped!
Best regards!!
Express 25 minutes as a fraction of 2 hours in its simplest form
Answer:
5/24
Step-by-step explanation:
1 hour = 60 minutes
2 hours = 60*2 = 120 minutes
then:
25 minutes / 120 minutes
25/5= 5
120/5 = 24
the simpliest form is:
5/24
The simpliest form of 25 minutes as a fraction of 2 hours is 5/24
What is a fraction?A fraction represents a part of a number or any number of equal parts.
Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
We need to express 25 minutes as a fraction of 2 hours in its simplest form.
Since we know that 1 hour = 60 minutes
2 hours = 60 x 2 = 120 minutes
then:
25 minutes / 120 minutes
25/5= 5
Thus 120/5 = 24
Hence, The simpliest form of 25 minutes as a fraction of 2 hours is 5/24
Learn more about fraction;
https://brainly.com/question/729654
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Of the 30 girls who tried out for the basketball team at Prescott Junior High, 12 were selected. Of the 40 boys who tried out, 16 were selected. Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls? How do you know?
Answer: Yes. They are thesame
Step-by-step explanation:
Of the 30 girls who tried out for the basketball team at Prescott Junior High, 12 were selected. In this scenario the ratio will be:
= 12/30
= 2/5
= 2:5
Of the 40 boys who tried out, 16 were selected. In this scenario, the ratio will be:
= 16/40
= 2/5
= 2:5
The ratio for both are thesame as we got 2:5 for both.
Evaluate 6^2 ÷ (3 + 9).
Answer:
the answer is three.
Step-by-step explanation:
first, simplify the exponent, which would be 36, then solve the 3+9, which is 12, then that leaves you with 36/12, and 12 goes into 36 3 times, so three is your answer
Answer:
The answer is 3
Step-by-step explanation:
To evaluate, we must do the order of operations. PEMDAS:
P=Parenthesis
E=Exponents and Radicals
M=Multiply
D=Divide
A=Add
S=Subtract
Because 6^2 ÷ (3 + 9), we must do the parenthesis which is add then simplify the exponent and lastly divide. So the equation will be:
6^2 ÷ (3 + 9)
= 6^2 ÷ 12
= 36 ÷ 12
= 3
I hope this helps! I'm sorry if it's wrong or complicated.
What is the slope form equation?
Answer:
y= mx +c
Step-by-step explanation:
The point- slope form of an equation is
y= mx +c, where m is the gradient and c is the y-intercept.
You can find the value of m by using the gradient formula.
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Then substitute the value of m found into the equation. Next substitute a pair of coordinates the line passes through to find the value of c. Substitute the value of c and you will obtain the point-slope form equation of the line.
Here's an example.
Point-slope form of an equation passing through (1, 2) and (5, 6).
① Finding gradient, m.
[tex]m = \frac{6 - 2}{5 - 1} \\ m = \frac{4}{4} \\ m = 1[/tex]
② Substitute value of m into equation.
y= 1x +c
y= x +c
③ Substitute a pair of coordinates.
when x=1, y=2,
2= 1 +c
c= 2 -1
c= 1
Thus the equation of the line is y= x +1.
You may already know that "y+MX+b" form called the slope-intercept form of the equation of a line. It is the same equation in a different form. The 'b' value called the y intercept is where the line crosses the y- axis
Step-by-step explanation:
Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15, the proportion of people with IQs above 130 is:
Answer: 0.0228 .
Step-by-step explanation:
Given, IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15
Let X denotes the IQ score.
Then, the proportion of people with IQs above 130 is
[tex]P(X>130)=P(\dfrac{X-mean}{ standard\ deviation}>\dfrac{130-100}{15})\\\\= P(Z>2)\ \ \ \[Z=\dfrac{X-mean}{ standard\ deviation}][/tex]
[tex]=1-P(Z<2)\ \ \ [P(Z>z)=1-P(Z<z)]\\\\=1-0.9772\ [\text{By z table}]\\\\=0.0228[/tex]
Hence, the proportion of people with IQs above 130 is 0.0228 .
Fiona is going to jog once around the block she lives on. The block is rectangular, and it is yards long and feet wide. How far will Fiona jog (in feet)?
Fiona is going to jog once around the block she lives on. The block is rectangular, and it is 180 yards long and 200 feet wide. How far will Fiona jog (in feet)?
Answer:
Fiona will jog 1480 feet once around the block she lives on.
Step-by-step explanation:
From the information given:
Length of the rectangular block = 180 yards
Breadth of the rectangular block = 200 feet
The block have a rectangular shape and we are to determine how far will Fiona jog (in feet).
Converting yards to feet
1 yard = 3 feet
∴
180 yards = (180 × 3) feet
= 540 feet
Calculating the perimeter of the rectangle will determine how far Fiona will jog.
Perimeter of a rectangular block = 2 (length + breadth)
Perimeter of a rectangular block = 2(540 + 200) feet
Perimeter of a rectangular block = 2(740) feet
Perimeter of a rectangular block = 1480 feet
∴
Fiona will jog 1480 feet once around the block she lives on.
1. James ran 3 kilometers after school. How many meters did james run? 2. Find the volume of the cube 3 1/2
Answer:
3000m
42.875 m/cm/mm/km/in/miles³ etc. (don't know what measurement you need).
Step-by-step explanation:
1 km = 1000m
Volume of a cube is V=a³ thus 3.5³ = 42.875³
What slope is parallel to m=3/4
Answer:
[tex]\large \boxed{{m= \frac{3}{4} }}[/tex]
Step-by-step explanation:
Parralel lines have the same slope.
The slope will be [tex]\frac{3}{4}[/tex]
25x^2- 100
What’s the factor
I need help Pls help with both
Answer:
the first one is 84
Step-by-step explanation:
subtract 145-61 then you get 84for the missing angle.
Answer:
1. 84, 2. 7.31
Step-by-step explanation:
1. 145-61=84
2. 16x+4-3x+11=110
13x+15=110
13x=95
x=7.31
Translate 5 times the sum of 7 and n
Answer:
5( 7+n)
Step-by-step explanation:
First find the sum
(7+n)
Then multiply by 5
5( 7+n)
Answer:
[tex]\Huge \boxed{5(n+7)}[/tex]
Step-by-step explanation:
The sum of 7 and n is also adding 7 and n.
[tex]7+n[/tex]
The sum is the result from adding. That result is multiplied by 5.
[tex]5 \times (7+n)[/tex]
[tex]5(n+7)[/tex]
Zara filled up her car with 15 gallons of gas. If Zara paid $33.00, what was the price per gallon of gas?
Answer:
$2.20 per gallon.
Step-by-step explanation:
That is 33/15 = $2.20 per gallon.
Answer:
Step-by-step explanation:
Price per gallon = Total price of 15 gallons ÷ 15 gallons
= 33 ÷ 15
= $ 2.20
Q5. A farm raises cows and chickens. The farmer has a total of 42 animals. One day he counts the legs of all of his animals and realizes he has a total of 114.
a) How many cows does the farmer have?
b) How many chickens?
c) What is the importance of farmer?
Answer:
let cow=x and chickens =y
cows have 4 legs, 4x. chickens have 2 legs, 2y
Answer:
a= 15 cows b= 27 chickens c= none, he is not an animal.
Step-by-step explanation:
cows have four legs
chickens have two
15 cows = 60 legs
27 chickens = 54 legs
60+54 = 114
please make me the brainliest if you find this helpful :)
While traveling in England, Sonia noticed that the price of gas was 1.4 pints per liter. She wondered how that compares to the price of gas in Atlanta, where she lives. On that day, the exchange rate was £1= $1.56. Set up and evaluate a conversion expression to find the equivalent price in dollars per gallon. Use the conversion factor 1L=0.26 gal.
Answer:
$8.40
Step-by-step explanation:
Price in England = 1.4 pounds per Litre
Current exchange rate : 1 pound = 1.65 dollars
1 Litre = 0.26 gallons
If 1 Litre = 0.26 gallons
1 gallon = (1 / 0.26) litres = 3.8461538 litres
Therefore, cost per gallon in England = (1.4 × 3.8461538)
= 5.3846153 pounds
Then ;
If 1 pound = 1.56 dollars
Then cost per gallon in dollars equals
5.3846153 * 1.56 = 8.399999868 dollars
$8.40
Write the equation of the line in standard form
64. contains (-8, 4)
and the midpoint of the
segment connecting
(-10, 5) and (-5, 0). Show your work.
Answer:
[tex]\bold{3x+y+20=0}[/tex]
Step-by-step explanation:
Mid point of (-10, 5) and (-5, 0).
Other point (-8, 4).
To find:
Equation of line in standard form that connect the mid point and other point.
Solution:
Mid point formula is given as:
[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]
[tex]x = \dfrac{-10+-5}{2} = -7.5\\y = \dfrac{5+0}{2} = 2.5[/tex]
Now, the two points are: (-7.5, 2.5) and (-8, 4)
Slope intercept form of line is given as:
[tex]y = mx+c[/tex]
[tex]m=\dfrac{4-2.5}{-8-(-7.5)} = -3[/tex]
So, the equation of line is:
[tex]\Rightarrow y =-3x+c[/tex]
Putting (-8, 4) to find c:
[tex]4=-3\times -8+c\\\Rightarrow c = -20[/tex]
Equation of line:
[tex]\Rightarrow y =-3x-20[/tex]
In standard form:
[tex]\bold{3x+y+20=0}[/tex]
At a certain hospital, the probability of a child being born female is 0.51. If 80 babies are born on the a certain day, the probability that more than half of these babies are female is closest to? a. 0.61, b. 0.70, c. 0.39, d. 0.47, 0.53 (I will award you the brainiest)
Answer :
0.53
Step-by-step explanation:
Given the following :
Probability of female = probability of success on a single trial = 0.51
Number of babies = 80
Probability that more than half of the babies are female : p(X >80/2) = P(X > 40)
The problem can be solved using the binomial probability function :
P(X > 40) = [ p(X= 41) + p(X= 42) +.... +p(X= 80)]
In other to save computation time, we can use the binomial probability calculator
Hence ; P(X > 40) = 0.527 = 0.53