[tex]\frac{2}{3} (m+4) = \frac{1}{5} (3m+9)[/tex]
[tex]\frac{2m+8}{3} = \frac{3m+9}{5}[/tex]
10m + 40 = 9m + 27
10m - 9m = 27 - 40
m = -13
Answer:
m = - 13
Step-by-step explanation:
2/3 (m + 4) = 1/5 (3m+9)
2/3m + 8/3 = 3/5m + 9/5
2/3m - 3/5m = 9/5 - 8/3
10/15m - 9/15m = 27/15 - 40/15
1/15m = - 13/15
m = - 13/15 / 1/15
m = - 13/15 * 15
m = - 195/15
m = - 13
When a water tank is $30\%$ full, it contains 27 gallons less than when it is $20\%$ empty. How many gallons of water does the tank hold when it is full?
Answer:
54 gallons
Step-by-step explanation:
Let x represent the volume of the full tank.
When the water tank is 30% full;
= 30% of x = 0.30x
when it is 20% empty:
= x - 20% of x = x - 0.20x = 0.80x
The difference is given as 27.
So, we can represent the question on an equation as;
0.80x - 0.30x = 27
Solving the equation, we have;
0.50x = 27
x = 27/0.50
x = 54 gallons
The tank can hold 54 gallons when it is full.
Answer:
54
Step-by-step explanation:
Gary drew a rectangle with a perimeter of 16 inches. Then he tried to draw a square with a perimeter of 16 inches.
Select the dimensions of the rectangle drawing.
16 inches by 7 inches 1 inch by 7 inches
16 inches by 1 inch7 inches by 4 inches
Select the dimensions of the square drawing.
1 inch by 1 inch
4 inches by 4 inches
16 inches by 16 inches
7 inches by 7 inches
Answer: I think u have to multiply all da numbers.
Step-by-step explanation:
Answer:
ooofffffffff
Step-by-step explanation:
Dafydd bought a bike for £300 on 1st February 2010. Every year the value of the bike depreciates by 18% of its' value at the start of the year. Find the value of the bike on 1st February 2014.
Answer: £165.41
Step-by-step explanation:
Price of bike when purchased in 2010 = £300
Depreciation rate yearly = 18%
Value of bike in 2011
Purchased price - depreciation value
= £300 - £300 * 0.18
= £300 - £54
= £246
Value of bike in 2012
= 2011 Price - depreciation value
= £246 - £246 * 0.18
= £246 - £44.28
= £201.72
Value of Bike in 2013
= price of 2012 - depreciation value
= £201.72 - £201.72 * 0.18
= £201.72 - £36.31
= £165.41
Price in 2014 would be £165.41
Your friend standing on a 45 foot balcony. He asks you to throw a baseball up to him. You throw a baseball with an initial upward velocity of 50 ft./s. Assuming that you released the baseball 6 feet above the ground, did it reach your friend? Explain.
Vertical motion formula is h = -16t^2 +vt +s where v is initial velocity and s is starting height:
h = -16t^2 + 50t +6
Solving for t: -50/-32 = 1.5625 seconds to reach maximum height.
Now replace t and solve for h ( maximum height)
h = -16(1.5625)^2 +50(1.5625) + 6
h = 45.0625
The value for h is greater than the height of the balcony, so yes the ball reached the friend.
EXERCISE 2 (4
expresss the following in exponential form (ii) 3/8×3/8×3/8×3/8×38
Answer:
3/8^4*38
Step-by-step explanation:
when would you a subtract in an expression
Answer:
You would need to subtract when:
Step-by-step explanation:
If there is a negative number like 4 -5
If there is a parentheses,
A subtraction sign.
Hope this helps you.
Correct answers only!
To the nearest cent, how much interest will she earn in 3 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$5180.12
Step-by-step explanation:
B=4000(1+0.09)^3
Answer:
885.1
Step-by-step explanation:
p = 3000
r = 9/100 = 0.09
t = 3 years
B = 3000 * (1+ 0.09)^3
B = 3000 * (1.09)^3
1.09^3 = 1.09*1.09 * 1.09 = 1.295
B = 3000 * 1.295
B = 3885.10
So the interest is Balance - principle = 3885.1 - 3000 = 885.1
Corina is making punch for a family reunion. Her recipe calls for 2 and 1⁄2 cups of lemonade per batch. She plans to make 20 batches or punch for the reunion. How many gallons of lemonade does she need?
PLEASE NEED STEPS
Answer:
50
Step-by-step explanation:
2 1/2=5/2
(5/2)(20)=100/2
Serena sold 8 pitchers of lemonade. She used the same amount of lemons in each pitcher. She had three lemons left over. Write an expression to represent the total numbers of lemons she had
Answer:
8m+3
Step-by-step explanation:
Let m be the number of lemon used in a pitcher of lemonade.
Serena sold 8 pitchers of lemonade, therefore she used 8m lemons.
Since there is a leftover of 3 lemons, we add:8m+3
Therefore:
Total number of lemons Serena has can be determined by the expression: 8m+3
where m is the number of lemons used in one pitcher of lemonade.
in danville the library is due south of the courthouse and due wesr of the community swimming pool. if the distance between the library and the countries is 3.9 kilometers and the distance between the courthouse and the city pool is 4.4 kilometers, how far is the library fron the community pool? round to the nearest tenth if necessary. (this is pythagorean theorem btw)
Answer: 2 kilometers.
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle, the longest side (in this case the distance between the courthouse and the city pool) and a and b are the other sides.
Replacing with the values given:
4.4^2 = 3.9^2 + b^2
19.36 = 15.21+b^2
19.36-15.21 = b^2
4.15 = b^2
√4.15 = b
b=2 km
Feel free to ask for more if needed or if you did not understand something.
Simplify: 3x – 5 + 23x – 9
a. 2(14x -6)
b. 3x(13x-6)
c. 2(13x -7)
d. 3x(13x - 5)
Step-by-step explanation:
3x-5+23x-9
26x-5-9=26x-14
2(13x-7)
Answer :
C
Step-by-step explanation:
(a+b)(a-b) = a² - b² a( b + c) = ab + ac a (b - c) = ab - ac a( b + c) + d( b + c) = (a + d) (b + c)3x – 5 + 23x – 9 = 26x - 14
2 . 13x = 26x
2. -7 = -14
2 ( 13x -7) so answer is C
or another way :
a. 2(14x -6) = 28x - 12
b. 3x(13x-6) = 39x² - 18x
c. 2(13x -7) = 26x - 14
d. 3x(13x - 5) = 39x² -15x
so answer is C
Hope this helps ^-^
the peach festival charges $5 for admission then$1.25 per pound of peaches picked. If Savanna went to the festival and picked 2.4 pounds of peaches,how many did she pay in total at the festival?
Answer:
I'm glad you asked!
Step-by-step explanation:
So let's do it step by step.
Already she has to pay $[tex]5[/tex] for going in.
She has [tex]2[/tex] whole pounds.
[tex]1.25[/tex] x [tex]2=2.5[/tex] or [tex]2 \frac{1}{2}[/tex]
Add $[tex]5[/tex] and $ [tex]2.5[/tex] .
[tex]5+2.5 = 7.5[/tex]
Now let's do $1.25 divided by 10.
[tex]$[/tex]$[tex]1.25[/tex] divided by $[tex]10[/tex] [tex]=0.125[/tex]
Now let's do [tex]0.125[/tex] times [tex]4[/tex]
[tex]0.125[/tex] x [tex]4 = 0.5[/tex]
Now let's add 7.5 to 0.5
[tex]7.5+0.5=8[/tex]
Please help!!! Keep in mind the triangles aren’t to scale!!!
Answer = 5
I don't feel like explaining it.
Find the volume of the rectangular pyramid below.
Answer:
4800m³
Step-by-step explanation:
V=[tex]\frac{lwh}{3}[/tex]=[tex]\frac{(30)(24)(20)}{3}[/tex] =4800
The circumference of a circle is 8.65cm. Find the length of the diameter. Give your answer rounded to 2 DP.
Answer:
D = 2.75 cm
Step-by-step explanation:
D = C÷ π
D = 8.65 ÷ 3.14
D = 2.754
D = 2.75 cm
Answer:
d = 2.75 cm
Step-by-step explanation:
C = 2π·r } => C = dπ => d = C/π
2r = d
d = 8.65cm/3.14 ≈ 2.75 cm
another one im kinda small brain
Answer:
75 between E and B.........
What is the exact distnace from (-5, 1) to (3, 0)?
A) square root of 63
B) square root of 65
C) square root of 67
D) square root of 69
Answer:B
Step-by-step explanation:
Sq rt. (0-1)^2+(3- -5)^2
(1)^2+(8)^2
1+64=65
Step-by-step explanation:
B) square root of 65
.................
An electrician has a piece of wire that is 4 and 3/8 centimeters long. She divides the wire into pieces that are 1 and 2/3 centimeters long. How many pieces does she have?
Answer:
She has approximately 3 pieces ( 2.625)
Step-by-step explanation:
To get the number of pieces, we need to divide the length of the wire by the individual length of the pieces.
To get the division done, it would be easier to convert what we have into improper fractions
For the piece of wire, the length which is 4 and 3/8 centimeters long will be 35/8 centimeters
while;
the individual length of each of the piece which is 1 and 2/3 centimeters long will be 5/3 centimeters
The number of pieces is thus 35/8 divided by 5/3 = 35/8 * 3/5 = 21/8 = 2.625 which is approximately 3 pieces
Sixth grade students were asked, “what grade are you in?” Explain why this is NOT statistical question.
Answer:
they're all in the same grade
Approximate the real zeros of /(x) = x2 + 3x + 2 to the nearest tenth.
2.1
b.
1.0
-2.-1
a.
0.-1
d.
Answer:
x = - 2, x = - 1
Step-by-step explanation:
Given
f(x) = x² + 3x + 2
To find the zeros let f(x) = 0, that is
x² + 3x + 2 = 0
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (+ 3)
The factors are + 2 and + 1, since
2 × 1 = 2 and 2 + 1 = 3, thus
(x + 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 1 = 0 ⇒ x = - 1
Answer:
Real Zeros: -1, -2
Step-by-step explanation:
[tex]x^{2} +3x+2=0\\[/tex]
Plug into quadratic equation formula:
[tex]\frac{-3+\sqrt{3^{2}-4ac} }{2(1)}= -1 \\\frac{-3-\sqrt{3^{2}-4ac} }{2(1)}= -2[/tex]
Hope this helped!
Solve for x
x/4 = 3/8
Give your answer as an improper fraction in its simplest form.
Answer:
[tex] x = \frac{3}{2} [/tex]
Step-by-step explanation:
[tex] = > \frac{x}{4} = \frac{3}{8} \\ \\ = > x = \frac{3}{8} \times 4 \\ \\ = > x = \frac{3}{2} [/tex]
what is the length of the diagonal of the rectangle?
A) 29.75
B) 10.625
C) 126.4375
D) 21.25
With sides of 12.75 and 17 on the bottom.
Answer:
21.25
Step-by-step explanation:
We can use the Pythagorean theorem since we know the legs
a^2+b^2 = c^2
12.75 ^2 + 17^2 = c^2
162.5625+289= c^2
451.5625 = c^2
Take the square root of each side
sqrt(451.5625) =sqrt( c^2)
21.25 = c
Answer: the answer will be 21.25
Step-by-step explanation:
solve for x. 12x+252=324
Answer:
x = 6
Step-by-step explanation:
12x+252=324
Subtract 252 from each side
12x+252-252=324-252
12x =72
Divide each side by 12
12x/12 = 72/12
x =6
Answer:
the answer is attached to the picture
Solve for x:
8x + 36°
5x + 60°
hope it help you..if it help then plz mark as brainliest
ASAP
Which of the following is a solution for the inequality 2x < 9?
x = 6
x = 5.5
x = 4.5
x = 4
Answer:
4
Step-by-step explanation:
2×4 is the only one that equals less than 9, 2× 4.5 is 9, 2×5.5 is 11, 2×6 is 12, and the question is trying to get below 9, so 4 is the only answer that can get below 9
This is the question please solve this question
Answer:
a-5 and b-2 5+2=7 and 5*2=10
Step-by-step explanation:
a+b=7 and ab=10
A brother and a sister are in the same math class. There are 8 boys and 10 girls in the class. One boy and one girl are randomly chosen. What is the probability that the brother and sister are chosen? Write your answer as a fraction in simplest form.
Item 5
A brother and a sister are in the same math class. There are 8 boys and 10 girls in the class. One boy and one girl are randomly chosen. What is the probability that the brother and sister are chosen? Write your answer as a fraction in simplest form.
Answer:
the probability is 1/80
Step-by-step explanation:
Readmore at : https://brainly.com/question/3325543
Answer:
the probability is 1/80
Step-by-step explanation:
Please give brainliest
The table shows the age, in years, of employees in a company.
Age (a) in years Frequency
18 < a < 20
3
20 < a < 22
2
22 < a < 24
7
24 < a < 26
8
26
0
a) Find the modal class interval.
Isac
b) Work out an estimate of the mean age of these employees.
Answer:
a) The modal class for this case represent the class with the highest frequency
And for this case would be [tex] 24 <a<26[/tex] with the highest frequency 8
b) [tex] \bar X = \frac{19*3 + 21*2 + 23*7 +25*8}{3+2+7+8} =23[/tex]
Step-by-step explanation:
Part a
The modal class for this case represent the class with the highest frequency
And for this case would be [tex] 24 <a<26[/tex] with the highest frequency 8
Part b
For this case we need to find the mid point of each interval:
Interval Midpoint Frequency
18-20 19 3
20-22 21 2
22-24 23 7
24-26 25 8
And we can find the sample mean with this formula:
[tex] \bar X = \frac{\sum_{i=1}^n f_i x_i}{n}[/tex]
And replacing we got:
[tex] \bar X = \frac{19*3 + 21*2 + 23*7 +25*8}{3+2+7+8} =23[/tex]
The class with the highest frequency represents the modal class for this case and for this case would be (24 < a < 26) with the highest frequency of 8 and an estimate of the mean age of these employees is 23.
Given :
The table shows the age, in years, of employees in a company.
A) The class with the highest frequency represents the modal class for this case and for this case would be (24 < a < 26) with the highest frequency 8.
B) To estimate the mean age of these employees, first, determine the midpoint.
Age Frequency Midpoint
18-20 3 19
20-22 2 21
22-24 7 23
24-26 8 25
The formula of the sample mean is given by:
[tex]\rm \bar{X} =\dfrac{\sum^{n}_{i=1}f_ix_i}{n}[/tex]
[tex]\rm \bar{X} = \dfrac{19\times 3+21\times 2 +23\times 7+25\times 8}{3+2+7+8}[/tex]
[tex]\rm \bar{X} = 23[/tex]
For more information, refer to the link given below:
https://brainly.com/question/20747890
What is the value of 6[4-9.47?
-36
-33
-32
-30
Answer:
No the right answer is
Step-by-step explanation:
-36
The value of the expression A = 6[4-9.47] is A = -33
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 6 [ 4 - 9.47 ]
On simplifying , we get
A = 6 ( -5.47 )
On further simplification , we get
A = 6 x -5.47
A = -32.82
On rounding the value of A , we get
A = -33
Therefore , the value of A is -33
Hence , the equation is A = -33
To learn more about equations click :
https://brainly.com/question/19297665
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Apply the distributive property to factor out the greatest common factor.
35 + 14 =
Answer:
2(5+2)
Step-by-step explanation:
The greatest common factor would be 7. So now 35/7 is 5 and 14/7 is 2. Now put it in distributive property! GCF on the outside and the new numbers we just got in the inside. There's your answer! Have a great day! :)