Answer:
x=3, y=2
Step-by-step explanation:
we substitute 4x in the first equation by it's equivalent in the second equation:
2y + 8 + 3y =18
5y = 10
y=2
we substitute y in the second equation:
4x= 8+4
x=12/4
X=3
The solutions of the equations is
The value of x = 3
The value of y = 2
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 first equation be A
The value of A is
4x + 3y = 18 be equation (1)
Let the second equation be B
The value of B is
4x = 8 + 2y be equation (2)
On simplifying the equations , we get
Substitute the value of 4x from equation (2) in equation (1) , we get
( 8 + 2y ) + 3y = 18
8 + 2y + 3y = 18
8 + 5y = 18
Subtracting 8 on both sides of the equation , we get
5y = 18 - 10
5y = 10
Divide by 5 on both sides of the equation , we get
y = 2
So , the value of y is 2
Substitute the value of y in equation (2) , we get
4x = 8 + 2y
4x = 8 + 4
4x = 12
Divide by 4 on both sides of the equation , we get
x = 3
Hence , the value of x and y from the equations are 3 and 2 respectively
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Please help show work
A 19
B 37
C 58
D 24
What does this symbol mean?±
Answer:
it means "plus or minus"
Step-by-step explanation:
hope tht helped
Can someone plz help me with this plz that will be lovely
Answer:
C) 25.13
Step-by-step explanation:
The formula for circumference is 2(pi)r.
In order to find r, or the radius, we can divide the diameter by 2.
d/2=r
8/2=4
r=4
Plug the radius into the formula
2(pi)4
And finally, plug it into your calculator.
2(pi)4 = ~25.13
calculate the area of his garden from the picture below pls help
Answer:
Hello! answer: 105.5
Hope that helps!
75 + 18 + 12.5 = 105.5
Write the following series in sigma notation.
5+13+21+29+37+45+53
Answer:
203
Step-by-step explanation:
Answer:
∑ᵢ⁷₌ ₁(7+8i)
Explanation:
In order to write a series in sigma notation you must:
Identify the index of summation and first value. In the equation, the index of summation would be i and the first value is assumed to be 1 due to the pattern that can be traced back. Identify the last value of n, which would be 7 in the series. This value is placed as a superscript next to or above the capital Greek letter ∑.Identify the formula for the terms. In thes case, the formula for the terms is (7+8i) because there are seven terms in the sequence that are increasing by 8. The variable i comes after because that is the letter used in the index of summation.Find x ba=5x -11
Ad = 6x -18
Answer:
x=7
Step-by-step explanation:
since its a square, all sides are the same so 5x-11 = 6x-18 and then solve it :)
Find the value of x pls I’ll give brainleist.
Answer:
x=15°
Step-by-step explanation:
We can see angle 6x-5 has a corresponding angle above it, which is congruent to it. That angle is supplementary with angle 7x-10. We can tell because it forms a straight angle with it. Supplementary angles add to 180°.
(7x-10)+(6x-5)=180
7x-10+6x-5=180
13x-15=180
13x=195
x=15
Help me! And please explain because I really don’t understand
Answer:
115 degrees
Step-by-step explanation:
because a line is 180 degrees so you take 65 from 180 which gives you 115, and we know that thats the x on the top because the bottom line (which has 65 degrees) are the same with the top line (the one with the missing x) since the transversal line is evenly cut thru
hope i helped
call me an i.d.i.o.t all you want but can someone help me understand this please
NO LINKS OR PDF FILES THAT DONT WORK
So supplementary angles are ones that add up to 180degrees and complementary ones add up to 90degrees.
So for the left side, you find what angle is supplementary to the given one. For the angle of 35, another angle of 145 will add up to 180.
The right side want you to find the complementary angles, so for the angle of 18, another angle of 72 will add up to 90.
I always forget supplementary vs complementary, but a little bit of practice will help a lot.
it rained nine days in the month of april .based on this ,what is the probaility that is does not rain on the first day of may?
==========================================================
Explanation:
There are 30 days in April. Since it rained 9 of those days, the empirical probability of it raining in April is 9/30 = (3*3)/(3*10) = 3/10.
If we assume that the same conditions (ie weather patterns) hold for May, then the empirical probability of it raining in May is also 3/10. By "raining in May", I mean specifically raining on a certain day of that month.
The empirical probability of it not raining on the first of May is therefore...
1 - (probability it rains)
1 - (3/10)
(10/10) - (3/10)
(10-3)/10
7/10
We can think of it like if we had a 10 day period, and 3 of those days it rains while the remaining 7 it does not rain.
Mr. Duval bought 21 calculators for his classroom. The total cost was
$141.75. Each calculator cost the same amount. Which was the cost per
calculator?
Answer:
$6.75 each
Step-by-step explanation:
141.75 decided by the 21 calculators gets a grand total of $6.75 each
Which inequality represents all possible solutions of -12d2 -6?
A d< - 1/2
B d> - 1/2
C d< 1/2
D d> 1/2
The inequality the represents the expression -12d < - 6 is d < 1/2.
What is inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign. Equations are not always balanced on both sides using a "equal to" sign in mathematics. Occasionally it might be about a "not equal to" connection, meaning that something is superior to or inferior to another.
The given inequality is -12d < - 6.
The inequality can be written as:
d < -6/ -12
d < 1/2
Hence, the inequality the represents the expression -12d < - 6 is d < 1/2.
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Let's assume a typical New Zealand farmer raising sheep owns 250 hectares and averages about 10 livestock units per hectare. If each ewe earns the farmer $20/year, how much money does that farmer earn in one year?
Answer:
$50,000
Step-by-step explanation:
We have an average of 10 livestock units per hectare
The number of units in 250 hectares will be;
250 * 10 = 2,500 units
Amount earned per unit is $20 per year
So, for 2,500 units, we have
2500 * $20 = $50,000
Someone help me please
Step-by-step explanation:
I think the choose 3 (g , h ,f )
can u help plz? i will mark brainliest
Answer:
David's height is 57 inches.
Step-by-step explanation:
x/11=55
x=605
x/10=54.8
x=548
605-548=57
Answer:
57 inches
Step-by-step explanation:
undo the problem
55 x 11 = 605
54.4 x 10 = 548
605 - 548 = 57
hope I helped :)
The center of the Pentagon in Arlington, Virginia, is a courtyard in the shape of a regular pentagon The pentagon
could be inscribed in a circle with a radius of 300 feet. Find the area of the courtyard Round to the nearest tenth
Answer:
213,987.7 ft2
Step-by-step ex planation:
what would be the exact side length of a square if the area was 49 m2
Answer:
7
Step-by-step explanation:
The square root of 49 is 7
what is the simplified form of (x + 3)²
Answer:
x^2+6x+9
Step-by-step explanation:
expand the expression
find the circumference of the pizza to the nearest tenth (10in)
Answer:
31.4in
Step-by-step explanation:
In order to solve this, we need to know that circumference of a circle is equal to its diameter times "pi" (a mathematical constant). So we just do...
(π)(10in) ≅ 31.4in (rounded to the nearest tenth)
3(x-3)=-3
what would this answer be
Answer:
x=2 would be your answer
Answer:
x = 2
Step-by-step explanation:
3(x - 3) = - 3
3x - 9 = - 3
3x - 9 + 9 = - 3 + 9
3x = 6
3x ÷ 3 = 6 ÷ 3
x = 2
Use the box method to distribute and simplify (-5x-3)(2x-6)
Answer:
;;[p;.[p;l][pl];[p];[p';uijuyuhyghgghghghgghhghghghjhjgijk7yuyhfjtygujtyujytujyujgfgg
Step-by-step explanation:
Use words to write each of these decimal numbers:
(a) 200.02
(b) 0.001625
Answer:
a) two hundred and two hundredths
b) one thousand six hundred twenty five millionths
Answer:
A. two hundred and two hundredths
B. one thousand six hundred and twenty five millionths
Step-by-step explanation:
hope this helps!
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
D because mean is the subtraction of the biggest number and the smallest. so 17-8=9
Answer:
I think it's D
I don't know tho
Solve x + 2x = 12
x = .............................
Solve 2y – 1 = 13
y = .............................
2. Solve 4x 3 = 13
x = ……………
show steps please
Answer:
4
7
4 or 2.5
Step-by-step explanation:
x+2x=3x
12/3=4=x
13+1=14
14/2=7=y
13+/-3=16/10
16/4=4
10/4= 2.5
this one depends wether 3 is negative or positive
4. 8.G.3.9
This cone and sphere have equal volumes.
What is the radius of the sphere?
Answer:
the radius of the sphere is 12 cm.
Step-by-step explanation:
IN A CONE
vertical height (h) = 27 cm
radius (r) = 32 / 2 = 16 cm
Now the volume of cone is
= 1/3 *h*π*r²
= 1/3 * 27 *π *16²
= 2304π cm³
Also by the question the cone and the sphere have equal volumes so
volume of sphere = volume of cone
= 2304 π cm³
OR, 4/3 πr³ = 2304 π
4/3 * r³ = 2304
r³ = 2304 * 3 / 4
r³ = 1728
r = ∛1728
r = 12 cm
hope it helps :)
Round to the nearest 5764.357894
Answer:
Step-by-step explanation:
5764.36 I think
Find the volume of a pyramid with a square base , where the area of the base is 7.5 cm ^ 2 and the height of the pyramid is 8.6 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer: 21.5cm³
Step-by-step explanation: This is your answer there is no way it is incorrect
Four friends are going to share the responsibility of babysitting 3 children for 7 hours. How much time will each friend spend babysitting if they take turns and spend equal amounts of time?
Answer:
1.75 hours :)
Step-by-step explanation:
This is confusing to me
Answer:
A. 5.25
Step-by-step explanation:
4.5 + 6 = 10.5
15.75 - 10.5 = 5.25
4.5 + 6 + 5.25 = 15.75
Write an equation of the line with a slope of 0 and y -intercept of 5.
Answer:
Step-by-step explanation: