Answer:
Step-by-step explanation:
4(y-3) = 4y - 4·3 = 4y - 12
The equivalent value of the expression is A = 4y - 12
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 4 ( y - 3)
On simplifying the equation , we get
A = 4 ( y - 3 )
So , the left hand side of the equation is equated to the right hand side by the value of A = 4 ( y - 3 )
Opening the parenthesis on both sides , we get
A = 4 ( y - 3 )
Using the distributive property , we get
A = 4 ( y ) - 4 ( 3 )
On further simplification , we get
A = 4y - 12
Taking the common factor as 4 , we get
A = 4 ( y - 3 ) = 4y - 12
Therefore , the value of A = 4y - 12
Hence , the expression is A = 4y - 12
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11. A man is buying a lot which measures 7,860 square meters. How many
hectares of land is he buying?
A. 78,600 hectares
B. 0.7860 hectare
C. 786,000 hectare
D. 0.07860 hectare
Answer:
C. 786,000 hectare
Step-by-step explanation:
This question can be solved by proportions, using conversion of units.
Each hectare has 10 000 square meters.
So 7,860 square meters is equal to:
7,860*10000 = 786,000 hectares
The answer is given by option C.
The sum of three consecutive even integers is 486. find all three integers
160 and 162 and 164
Step-by-step explanation:
To find the three even integers, use the equation
x + (x + 2) + (x + 4) = 486
Then solve:
Add the common terms (the xs and numbers)
3x + 6 = 486
Subtract the 6 from both sides
3x = 480
Then divide
x = 160
So 160 + (160 + 2) + (160 + 4) = 486
160 + 162 + 164 = 486
So your three consecutive even integers are
Find the product of (1)(3)(x).
Your
answer
Answer:
2/5.
Step-by-step explanation:Start with fractions for which you need to find the product. In this example, we will multiply the fractions 4/6 and 3/5.
Simplify the fractions to the lowest terms. A fraction needs to be simplified if the same number can divide both the numerator and denominator of a fraction. So 4/6 would become 2/3 and you would multiply by 3/5.
Multiply the numerators. Multiply the top number in one fraction by the top number in the other fraction. In this case 2 x 3 = 6.
Multiply the denominators. Multiply the bottom number of one fraction by the bottom number in the other fraction. In this case 3 x 5 = 15
Simplify the product again if necessary. Your product of 6/15 can be converted into 2/5 by dividing both the numerator and denominator by 3. So the product of 4/6 and 3/5
What is the square root of nine
Answer: the square root of 9 is 3.
ACTIVITY 1
Directions: Find the unknown principal P, rate r, time t, and simple
interest Is by completing the table. Use separate sheet/s of paper for your
answer.
Principal (P)
Rate (T)
Time (t)
8%
15
2%
5
Simple Interest
(Is)
(1)
10,000
3,600
175,500
10,000
(2)
360,000
500,000
2
(3)
10.5%
Activity 2
Directions: Find the unknown principal P, maturity value, and
compound interest Ic by completing the table. Use separate sheet/s of paper
for your answer.
Maturity Value
Principal (P) Rate(r) Time(t)
Compound
Interest (Ic)
(1)
10,000
(3)
8%
2%
15
5
(2)
50,000
Answer:
500,000
2
(3)
10.5%
Activity 2
Directions: Find the unknown principal P, maturity
A ccompany offers free shipping on orders that weigh less than 3,000 grams. How much is this in kilograms. Be sure to include the correct unit in your answer.
Answer:
The answer is 5 Kilos.
Step-by-step explanation:
There are 1000 grams in 1 Kilo, thus 1000g= 1k, so 5000g=5k.
Answer:
its 3kg
Step-by-step explanation:
Find the two solutions to the equation below.
(x – 3)(x − 2) = 0
Anyone know how to do it
Answer:
You have two brackets..divide them as
x-3=0 and x-2=0
so x=3, x=2
The solutions to the equation ( x – 3 )( x − 2 ) = 0 using factors equal to zero are x = 3 and x = 2.
To find the solutions to the equation ( x – 3 )( x − 2 ) = 0, we set each factor equal to zero and solve for x. This is because the product of two factors is equal to zero only if at least one of the factors is zero.
Setting ( x – 3 ) = 0:
x – 3 = 0
x = 3
Setting ( x − 2 ) = 0:
x − 2 = 0
x = 2
Therefore, the solutions to the equation ( x – 3 )( x − 2 ) = 0 are x = 3 and x = 2.
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A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the length of the rectangle.
Answer:
The length of the rectangle (l) = 10 cm
The width of the rectangle (w) = 7 cm
Step-by-step explanation:
Step(i):-
Let 'x' be the length of the rectangle
Given that the width is 3 feet shorter than the length
The width of the rectangle = x -3
Area of the rectangle = length × width
Step(ii):-
Area of the rectangle = length × width
= x ( x-3)
Given that the area of the rectangle = 70 square feet
x ( x-3) = 70
⇒ x² - 3x - 70 =0
⇒ x² - 10 x + 7 x - 70 =0
⇒ x (x -10) +7( x-10) =0
⇒ ( x+7) ( x-10) = 0
⇒ x =-7 and x=10
Final answer:-
we choose x=10
The length of the rectangle (l) = 10 cm
The width of the rectangle (w) = 7 cm
What’s the answer pls
Answer:
168.75 because u put a dot infront of 32 divide it by 54
Evaluate y=3x for x=2.
y=
Answer:
y=6
Step-by-step explanation:
y=3x x=2
y=3(2)
y=6
For the given expression, the value of y is 6.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ y = 3x
Now, For value of x = 2;
The value of y is,
⇒ y = 3x
Substitute x = 2;
⇒ y = 3 × 2
⇒ y = 6
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what is the equation in slope-intercept form, of the line prependicular to y= -3/5x +6 that passes through the point with coordinants (12,25)
Answer:
y=5/3x+5
Step-by-step explanation:
change slope in equation given to the negative reciprocal since the line is perpendicular:
-3/5 to 5/3
put values into point slope form y-y1=m(x-x1)
y1 = y in the point given, which is 25
m = slope, which is 5/3
x1 = x in point given, which is 12
y-25=5/3(x-12)
then solve for slope intercept form y=mx+b to get
y=5/3x+5
Gordon types 3,572 words in 47 minutes. Find the unit rate.
Answer:
Gordon types at 76 wpm
Step-by-step explanation:
You can find this by dividing the number of words typed by the number of minutes:
[tex]\frac{3572w}{47m}\\\\= \frac{3572}{47}\frac{w}{m}\\\\= 76\frac{w}{m}\\\\[/tex]
Answer:
78 Words per minute
Step-by-step explanation:
Unit Rate = 3666 Words in 47 minutes
Unit Rate = 78 Words per minute
which expression is equivalent to (2m+3)+(m-1)?
A.5m
B.3m + 2
C.2m+2
D.3m-2
Answer:
i think the correct is D so 3m-2
Three of the vertices of square ABCD are located at A(0,3), B(4,0), and C(7,4).
Determine the area of square ABCD.
Answer:
The area of the square ABCD is 25 square units
Step-by-step explanation:
The square ABCD has three of its vertices at A(0,3), B(4,0), and C(7,4). The fourth vertex has been also plotted in the image attached below.
The area of the square is
[tex]A = a^2[/tex]
Where a is the length of any of the square's sides. We only have to find the distance from any two consecutive vertices, for example, A(0,3), B(4,0):
[tex]a=\sqrt{(4-0)^2+(0-3)^2}[/tex]
[tex]a=\sqrt{16+9}=\sqrt{25}=5[/tex]
a = 5
Calculating the distance between any other pair of consecutive vertices would yield the same result. The area is now calculated:
[tex]A = 5^2 = 25[/tex]
The area of the square ABCD is 25 square units
Silvia has a coupon for 25% off an item that regularly costs $8. How much will Silvia pay if she uses the coupon?
Answer:
0.32
Step-by-step explanation:
just divide
Answer:
$6
Step-by-step explanation:
25%= 1/4
8 divided by 4 =2
$2 is what is taken off
$8-$2 which is $6
Solve for the angle x.
Answer:
x=45
Step-by-step explanation:
An entire triangle is 180 degrees and you already know that one angle is 90 degrees. 180 - 90 is 90. Now you have the equation 2x=90.
You then divide each side by 2 to get the x by itself which leaves you with x=45.
Answer:
if I did my math right it's 45 if not please fix me
Step-by-step explanation:
First thing is the the sides are congruent meant the angles have to be the same.
Next is the box indicates 90°.
Last thing is that every triangle is 180°
so if I did this right the equation is 2x+90=180
and using algebra in this you eliminate the 90 by subtract because - is the opposite of + which cancels itself and leaving the total with 90.
Then divide the 90 by 2 as it cancels out 2x leaving the answer with x=45
I hope this helps you
Alaina baked a cake that weighs 28 ounces. Her family has eaten 49% of it. About how many ounces of cake have they eaten?
Answer:
I think the answer is that her family has eaten 13.72 ounces.
Step-by-step explanation:
So it weighs 28 ounces and her family has eaten 49% of it.
28 multiplied by 49% or 0.49 is 13.72.
I hope this helps!
What is the right answer for the ordered pairs?
Answer:
D. (2, -3) and E. (4,-1)
Step-by-step explanation:
In quadrant IV, the possible x-coordinate that can be gotten can only be positive, while the possible y-coordinate can only be a negative value. Thus, the coordinate pair we can get is a positive x-coory and a negative y-coordinate (x, -y).
Therefore, from the list of options given, the two ordered pairs that belong in Quadrant IV are D. (2, -3) and E. (4,-1)
Could someone answer and explain. Will mark the brainliest
Answer: I think you’re right??
Step-by-step explanation:
(28 points) In the drawing, a regular polygon is partially covered by a rectangle. what is the number of sides of this polygon?
A: 6
B: 7
C: 8
D :60
Answer:
c:8
Step-by-step explanation:
✔
Answer:
C: 8
Step-by-step explanation:
What is the 10th term in -9,-6,-1,6,15
Answer:
90
Step-by-step explanation:
This is an increasing sequence, with -9 as its first term. The first increase is +3, then +5, +7, and +9. The differences increase by 2 each time. The sixth term will be 15 + 11, and the seventh would be 15 + 11 + 13. We can follow this pattern to get to the tenth term. 15 + 11 + 13 + 15 + 17 + 19 = 90
121/2% in to a fraction
9514 1404 393
Answer:
1/8
Step-by-step explanation:
You can replace % with /100 to make it a fraction.
12 1/2% = (12 1/2)/100 = (25/2)/100 = 25/200 = 1/8
__
Or, you can reduce the decimal fraction.
12.5% = 12.5/100 = 0.125 = 125/1000 = 1/8
Can anyone help me pls
Paul is a newspaper boy who received a total piecework
paycheck of $265.72. He receives 73 cents for every
newspaper he delivers. How many newspapers did he
deliver?
Answer:
364
Step-by-step explanation:
265.72 ÷ 0.73 is 364
Check:
364 x 0.73
265.72
Convert 6 months to years
Answer: 0.500001
Step-by-step explanation: Hope that helps!
The area A of a circle in square feet with a radius r in feet is given by the formula, A=πr2. What is the area of a circle with a radius of 3 feet? Round your answer to the nearest thousandths.
Answer:
28.29
Step-by-step explanation:
A=πr2
=3.14(3^2) (btw the ^2 is exponent)
=3.14(9)
=28.29
Let N* be the total number of ranchers in Uruguay, and N(t) be the number of ranchers who have adopted an improved pasture technology there. Assume that the rate of adoption, , is proportional to both the number who have adopted the technology and the fraction of the ranchers who have not (and so are susceptible to conversion). Let a be the proportionality constant.
a. Write down the differential equation modeling N(t).
b. According to Banks (1993), N* = 17000, N(0) = 170, a = 0.5 per year.
Determine how long it takes for the improved pasture technology to spread to 80% of the population of the ranchers.
Answer:
A) dN / dt = aN( N* - N ) /N*
B) 12 years
Step-by-step explanation:
attached below is a detailed description of the solution
A) Write down the differential equation modelling N(t)
The differential equation of the modelling = dN / dt = aN( N* - N ) /N*
B) Determine how long it takes for improved pasture technology to spread to 80% of the population of the ranchers
firstly we will resolve the ODE and apply partial fractions, integrate and exponentiate before inputting the given data. attached below is a detailed solution
What is the result when 6x3 + 11x2 + 9x + 2 is divided by 3x + 1?
Answer:
(6x^(3)+11x^(2)-19x+5)-:-(3x-2)
Step-by-step explanation:[tex]63+112+32+1[/tex]
for some reason it showed that but yeah hope this helps!
Solve the problem using long division
Answer and Step-by-step explanation:
[tex](m^{2} - 3m - 7) (\frac{1}{m+2})[/tex]
1m -5
____________
[tex]m+2 |m^{2} - 3m - 7[/tex]
- m^2 + 2m
___________________
-5m - 7
- -5m - 10
___________________
3
(The negatives cancel out).
[tex]m - 5 + \frac{3}{m+2}[/tex] <- This is the answer.
#teamtrees #WAP (Water And Plant)
(03.02)
Which of the following is a factor of 48x2 − 26x + 3? (1 point)
Select one:
a. 8x − 3
b. 12x − 1
c. 4x − 3
d. None of the above
Answer:
A
Step-by-step explanation:
48x^2-8x-18x=3
8x(6x-1)-3(6x-1)
(8x-3)(6x-1)
8x-3
Answer:
Step-by-step explanation:
48x2 - 26x + 3
48x2 - 18x - 8x + 3
6x( 8x - 3) - 1(8x - 3)
(8x - 3) and (6x - 1) are the factors
Option A is the correct answer
