Answer:
x = 4y = 3Step-by-step explanation:
2x - 3y = - 1 ………… Equation 1
y = x - 1 ….……….… Equation 2
To solve using substitution , substitute equation 2 into equation 1
That's
2x - 3( x - 1) = - 1
2x - 3x + 3 = - 1
- x = - 1 - 3
- x = - 4
Multiply through by - 1
We have
x = 4Substitute x = 4 , into y = x - 1
We have
y = 4 - 1
y = 3
We have the answers as
x = 4
y = 3
Hope this helps you
In countries that use the metric system of measurement, corn yields are sometimes expressed in quintals per hectare (q/ha) instead of bushels per acre (bu/ac). 1 quintal = 220.462 lbs 1 bushel of corn = 56 lbs In field trials in one of these countries, a particular corn hybrid yielded 151 q/ha. What is this in bushels per acre (bu/ac)? Margin of Error: +/- 1 bu/ac
Answer:
The answer is below
Step-by-step explanation:
Different countries have different metric system of measurement, but the metric system of measurement accepted all over the world is the international system of unit (SI unit)
1 quintal = 220.462 lbs and 1 bushel of corn = 56 lbs.
151 q/ha = (151 × 220.462) lbs/ha = 33289.762 lbs/ha
But 1 hectare = 2.471 acre, hence:
33289.762 lbs/ha = [tex]\frac{33289.762\ lbs}{1\ ha*\frac{2.471\ acre}{1 \ ha} } =13472.182\ lbs/acre[/tex]
Since 1 bushel of corn = 56 lbs, hence:
[tex]13472.182\ lbs/acre=\frac{13472.182\ lbs*\frac{1\ bushels}{56\ lbs} }{acre}=240.6\ bushels/acre[/tex] = 240.6 bu/ac
For a Margin of Error: +/- 1 bu/ac, the bushels per acre = (239.6 bu/ac, 241.6 bu/ac)
8(−5d−9)−3(−6d+10) in simplest terms
Answer:
-22d -102
Step-by-step explanation:
8(−5d−9)−3(−6d+10)
Distribute
-40d -72 +18d -30
Combine like terms
-40d +18d -72 - 30
-22d -102
Answer:
−22d − 102
Step-by-step explanation:
8 (−5d − 9) −3 (−6d + 10)
expand 8 (−5d − 9) to −40d − 72
= −40d − 72 − 3 (−6d + 10)
expand − 3 (−6d + 10) to 18d − 30
= −40d − 72 + 18d − 30
combine like terms
= −40d + 18d − 72 − 30
= −22d − 102
Helpppppppppppp me I really need help
Which of the following numbers is rational? A. 4/5 B.√27 C.4.020020002000002.... D.√31
Greetings from Brasil...
First let's define the rational number....
→ Division between two numbers with the detail that the dividend or denominator cannot be zero
A/B or A ÷ B
where B ≠ 0
(just for the sake of knowledge. If B = 0 we would have +∞ as an answer)
A ∈ ℤ
and
B ∈ ℤ* (B ≠ 0)
In this way, when dividing A by B, we will obtain a whole number or a number with a decimal (finite decimal or periodic tenth)
Let's go to the alternatives
A = 4/5 = 0,8 (finite decimal)4 ∈ ℤ and 5 ∈ ℤ*, so we have a rational number
B = √27 = 5.1961524227066318805823390245176
(There is no repetition of tithing periods (numbers after the point) - non-periodic tithe). So we have an Irrational Number
C = 4.020020002000002
There is no periodic tenth - Irrational Number
D = √31 = 5.5677643628300219221194712989185
Irrational Number - Non-periodic tithe
A concrete column has a diameter of 390 mm and a length of 3 m. If the density (mass/volume) of concrete is 2.45 Mg/m^3, determine the weight of the column in pounds.
Answer:
w= 0.83 NStep-by-step explanation:
The column has the shape of a cylinder hence the formula for the volume of a cylinder is
[tex]v=\pi r^2h[/tex]
Given
diameter d= 390 mm
radius r= 390/2= 195 mm to meter = 0.195 m
length or height h= 3 m
applying the data to the formula we have
[tex]v=\pi *0.195^2*3\\\\ v=\pi*0.0038*3\\\\ v=\pi*0.0114\\\\ v=0.035 m^3[/tex]
we can now use the volume in addition with the density given to solve for the mass using the expression for density
density= mass/volume
2.45= mass/0.035
mass= 2.45*0.035
mass= 0.085 mg
We know that weight
w= mass* acceleration
w= 0.085*9.81
w= 0.83 N
what logaa equals??
Answer:
Logarithm I think
Step-by-step explanation:
If u need more explanation u can ask me
The daily demand for ice cream cones at a price of $1.20 per cone is 50 cones. At a price of $2.20 per cone, the demand is 30 cones. Use linear interpolation to estimate the demand at a price of $1.50 per cone.
Answer:
The demand at a price of $1.50 per cone is 44 conesStep-by-step explanation:
let us apply the interpolation formula to solve this problem
we have
[tex]\frac{y-y1}{x-x1} =\frac{y2-y1}{x2-x1}[/tex]
Now let us set the values to the notation above
x= $1.20
x1= $2.20
x2= $1.50
y = 50 cones
y1= 30 cones
y2= ?
[tex]y2= \frac{(y-y1)}{(x-x1)} (x2-x1)+y1[/tex]
Substituting our given data we have
[tex]y2= \frac{(50-30)}{(1.2-2.2)} (1.5-2.2)+30\\\\y2= \frac{20}{-1} (-0.7)+30\\\\y2= (20*0.7)+30\\y2= 14+30\\y2= 44[/tex]
the demand at a price of $1.50 per cone is 44 cones
Now that you have x² - 8x + 16 = 9 + 16, apply the square root property to the equation.
Answer:
x=−1,−7
Step-by-step explanation:
Answer:
The solutions are {-1, 9}
Step-by-step explanation:
x² - 8x + 16 can be re-written as (x - 4)^2, and 9 + 16 as 25.
Taking the square root of both sides of (x - 4)^2 = 25, we get:
x - 4 = ±5, or:
x = 4 + 5 = 9, and
x = 4 - 5 = -1
The solutions are {-1, 9}
A man is twice as old as his son. five years ago, their ages was 9:4 .find the sons present
Answer:
five years ago
father:son = 9:4
= 45: 20
now
father: son = 45+5 : 20+5
= 50:25
ok
the son is now 25 years old
бx - 6 = 24х +6
Help
Answer: [tex]x=-2/3[/tex]
Subtract 24x from both sides
[tex]6x-6-24x=24x+6-24x\\-18x-6=6[/tex]
Add 6 to both sides
[tex]-18x-6+6=6+6\\-18x=12[/tex]
Divide both sides by -18
[tex]-18x/-18=12/-18\\x=-2/3[/tex]
Answer: x=-2/3.
Step-by-step explanation:6x-6 = 24х+6
6x-6-24x=6 -18x-6+6=6+6 -18x/-18=12/-18 x=-2/3
What is 1/5 of 30????
Answer: The answer is 6!
Step-by-step explanation:
A raffle game has a single gran prize that will be drawn randomly from among all the tickets. A total of 500 tickets are sold. If a man buys 25 tickets, what is the probability that he will win the grand prize?
Step-by-step explanation:
P = 25/500
P = 1/20, or 5%
Select all sets that the number is a part of. You may have to select more than one.
66
Group of answer choices
Rational Numbers
Real Numbers
Irrational Numbers
Integers
Natural Numbers
Whole Numbers
3.a. Use the distributive property to rewrite the equation.
Enter the new equation as your answer.
3(2x - 1) + 4 = 7
Enter your answer
4.b. Combine any like terms to rewrite the equation that you entered as an answer in part a.
Enter the new equation as your answer.
Enter your answer
5.c. Use addition or subtraction to rewrite the equation that you entered as an answer in part b.
Enter the new equation as your answer.
Enter your answer
6.d. Use multiplication or division to rewrite the equation that you entered as an answer in part c.
Enter the new equation as your answer.
Answer:
Hey there!
Part A
3(2x-1)+4=7
6x-3+4=7
Part B
6x+1=7
Part C.
6x+1-1=7-1
6x=6
Part D.
6x/6=6/6
x=1
Let me know if this helps :)
Answer:
3. 6x -3 +4 = 7
4. 6x +1 = 7
5. 6x = 6
6. x = 1
Step-by-step explanation:
3. The distributive property allows you to eliminate parentheses by multiplying the outside factor by every term inside.
3(2x -1) +4 = 7 . . . . . . given
3(2x) +3(-1) +4 = 7 . . . . using the distributive property
6x -3 +4 = 7 . . . . . . . finishing the evaluation of those products
__
4. The only like terms that can be combined are the two constant terms on the left side. We simply add them up.
6x +1 = 7
__
5. Using the subtraction property of equality, we can subtract 1 from both sides of the equation. We choose to do this so that the x-term is by itself.
6x +1 -1 = 7 -1
6x = 6
__
6. Using the division property of equality, we can divide both sides of the equation by 6. We choose to do this so the new coefficient of x is 1.
6x/6 = 6/6
x = 1
______
Additional comment
You're told to apply these steps without any explanation as to why or what the goal may be. We assume you're supposed to realize that you can use these steps to solve the equation. Of course, you can use different values for addition (or subtraction) or multiplication (or division). Doing so may satisfy the literal interpretation of the question, but won't get you a solution to the equation.
Which expression is equal to 8x3+8x1?
A. 8(3 + 8)
B. 8(3+1)
C. 3(8+1)
D. 1(3 + 8)
Answer:
B. 8(3+1)
Explanation: 8x3 = 24. 8x1 = 8
Answer:
B. 8(3+1) = 32
Step-by-step explanation:
8 x 3 + 8 x 1 = 32
A. 8(3 + 8) = 88
B. 8(3+1) = 32
C. 3(8+1) = 72
D. 1(3+8) = 11
.3% of what number is 4.8?
Answer:
1600
Step-by-step explanation:
0.3% of 1600 will result to 4.8
The length of a rectangle is 99 meters and the width is 87 meters. Find the area. Give your answer without units.
Answer:
Area = 8613Step-by-step explanation:
Area of a rectangle = l × w
where
l is the length
w is the width
From the question
length = 99 m
width = 87 m
Substitute the values into the above formula and solve for the area
That's
Area = 99 × 87
We have the final answer as
Area = 8613
Hope this helps you
write 7.48 as a mixed number in simplest form
[tex]7\frac{12}{25}[/tex]
Step-by-step explanation:7.48 = 748⁽⁴/100 = 187/25 = 7 12/25
Estimate. Then find the difference 300,980 -159,000
Answer:
142,000
Step-by-step explanation:
I would round 300,980 to the nearest thousands place = 301,000
Subtract 301,000 and 159,000 = 142,000
In ABC, the measure of sides c is 3.9 cm If DEF is a dilation ABC with a scale factor of 2.5 what is the measure of side f
Answer:
[tex]F = 9.75cm[/tex]
Step-by-step explanation:
Given
In ABC;
[tex]C = 3.9cm[/tex]
[tex]Dilation = 2.5[/tex]
Required
Determine side F
In the given question;
DEF is a dilation of ABC
Comparing both triangles side by side,
Side F is a direct dilation of side C and this is calculated as follows
[tex]F = Dilation * C[/tex]
[tex]F = 2.5 * 3.9cm[/tex]
[tex]F = 9.75cm[/tex]
Round the given number to the nearest tenth. 560.294
Answer:
560.3
hope it helps
What fraction of box does each student receive?
Answer: 13/48
let me know if I'm wrong
I didn't have enough time to explain it though
Step-by-step explanation:
What is the distance across the river in feet?
Answer:
375
Step-by-step explanation:
The ratio of d to 125 is the ratio of 30 to 10,so by comparison, 30:10=3÷1
X÷125=X=375
I WILL GIVE BRAINLIEST IF IT IS CORRECT! The Atlantic Ocean covers about 3.2 × 10^7 square miles. The Pacific Ocean covers about 6.4 × 10^7 square miles. About how much area does the Atlantic Ocean and Pacific Ocean cover? A. 3.2 × 10^7 square miles B. 9.6 × 10^7 square miles C. 3.2 × 10^14 square miles D. 9.6 × 10^14 square miles
Answer:
B
Step-by-step explanation:
3.2 * 10⁷ + 6.4 * 10⁷
= 10⁷ * (3.2 + 6.4)
= 10⁷ * 9.6
= 9.6 * 10⁷
Answer:
The Atlantic Ocean and Pacific Ocean covers about 9.6 x 10^7 mi^2
Step-by-step explanation:
Let
x -----> area covered by the Atlantic Ocean
y -----> area covered by the Pacific Ocean
we know that
The area that covers the Atlantic Ocean and Pacific Ocean is equal to the sum of the area covered by the Atlantic Ocean and the area covered by the Pacific Ocean
x = 3.2 x 10^7
y = 6.4 x 10^7
Substitute
x + y = 3.2 x 10^7 + 6.4 x 10^7 = 9.6 x 10^7.
Hope this helps! And good luck on your test!
Please Help! I'm Stuck!
Answer:
A. y = -4x - 10
Step-by-step explanation:
See image below. The red line (y = -4x - 10) is parallel to the blue line (y = -4x + 3) and passes through (-3 , 2)
Answer:
y = -4x - 10 (Answer A)
Step-by-step explanation:
Any line parallel to the given y = -4x + 3 has the same slope: -4.
Starting with y = mx + b, and substituting -4 for m, -3 for x and 2 for y, we get:
2 = -4(-3) + b, or b = -10, and so the desired equation is
y = -4x - 10 (Answer A)
how would you say "the function is positive from -9 to 3 over the x axis but -9 is not included" using interval notation
Answer:
The function would be positive in:
(-9, 3]
Step-by-step explanation:
A function is considered positive on the X-axis when the changed values in the function are greater than zero. f(x) > 0
And is considered negative when f(x) < 0.
In this case, the numbers that make the function positive are the numbers from -9 to 3, but not including -9.
This can be written as (-9, 3]
It means that -9 is not taken but any number greater than -9 is.
Jillian's school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales
for opening night totaled $2071.50. The equation 10.50 +3.750 - 2071.50, where a is the number of adult tickets sold and b
is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students
attended, how may adult tickets were sold?
adult tickets
Intro
Done
Answer:
168 adult tickets were sold
Step-by-step explanation:
$10. 50 per adults
$3. 75 per student
There are 82 students..
.. So...
$3. 75 × 82 = $307. 50
Overall the amount of money made was $2071.50
If you subtract $307.50 from $2071. 50 you will get $1,764
We now need to find out how many adults bought tickets by dividing $1, 764 by the price adults have to pay so..
Amount of adults who bought tickets are
= $1, 764 ÷ $10. 50
= 186 adults
5х – 11 = 3х + 3
Solve for x
Answer:
Hello☺️!
Step-by-step explanation:
[tex]5 x - 11 = 3x + 3[/tex]
[tex]5x - 3x = 3 + 11[/tex]
[tex]2x = 14[/tex]
[tex]x = \frac{14}{2} [/tex]
[tex]x = 7[/tex]
a) The marked price of a mobile is 25% above its cost price, When it is sold at a gain of
10%, the profit amounts to Rs 725. Find the marked price of the mobile.
Answer:
the marked price of a mobile is 25% above its cost price when it is sold at a gain of 10%, the profit amount to RS 725 find the marked price of the mobile
Step-by-step explanation:
Hope this helps.......
Which ordered pair is a solution bf 2x = y? . (-1,-2) (-1,-1) (1,1) (1.-1)
Answer:
(-1,-2)
Step-by-step explanation:
Ordered pairs go in the order x,y so the 2x would be the first number that then equals the second number. The answer is (-1,-2) because when you multiply 2*-1 you get -2 and what's the y? -2. Does -2 = -2? Yes.