The result of first step is 6y+3+3y = 5 and values of x and y after solving are 1/4 and 9/2 respectively.
What is substitution method?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
Given that, the two equations x=6y+3 and x+2y=5 being solved by substitution method
So, the equations are,
x=6y+3.......(i)
x+2y=5......(ii)
Substituting eq(i) in eq(ii)
6y+3+2y = 5
8y = 2
y = 1/4
Put y = 1/4 in eq(i)
x = 6x1/4+3
x = 9/2
Hence, The result of first step is 6y+3+3y = 5 and values of x and y after solving are 1/4 and 9/2 respectively.
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A statistician predicts that the probability of a race car driver winning their next race is 9/10. What are the odds against them winning?
Answer:
90%
Step-by-step explanation:
We know that
9/10
is the same as
9÷10
Then using
Long Division for 9 divided by 10
gives us
0.9
Converting our number to a percentage:
0.9×100
=90%
(Note this isnt rounded up.)
40x + 44 = 38x + 44
Answer:
x = 0
Step-by-step explanation:
40(0) + 44 = 38(0) + 44
44 = 44
When x = 0 the equation is true
Answer:
x=no solution
Step-by-step explanation:
40x+44=38x+44
-44 -44
40x=38x
Every 125 pages that Raul reads during his summer reading challenge, he will collect 5 book points to use at his local library. Which graph models a relationship with the same unit rate?
Answer:
The answer is "[tex]\frac{1}{25}[/tex]"
Step-by-step explanation:
They might claim that perhaps the ratio to Raul would've been:[tex]\frac{y}{x} = \frac{5}{125} = \frac{1}{25}[/tex] per each 125(x) page, which he reviewed throughout a summer competition.
Raul's cost per unit for each paragraph reads is [tex]\frac{1}{25}[/tex] page points, that's why the model a link with the same unit rate. please find the graph in the attached file.
A triangle has sides with lengths 4.15, 7.092 and 12.45. What is the perimeter of the triangle?
Answer:
Perimeter = 23.692 units
Step-by-step explanation:
Perimeter = sum of all his sides
then:
Perimeter = 4.15 + 7.092 + 12.45
Perimeter = 23.692 units
rosy wants a large picture window put in her living room of her new house. the window is to be square with an area of 49 square feet. how long should each side of the window be
6. Which equation or inequality represents the following description? & Multiply the quantity 2 more than a number by 8. The result is at least 12 times the number subtracted from 76.
A. 8(2n) < 76 - 12
B. 8n + 2 = 12n - 76
C. 8(n + 2) > 76 - 12n
D. 8(2n) = 76 – 12n
Answer:C it’s bc it says at least 12 time the number subtracted from 76
Step-by-step explanation:
If it’s wrong sry if your gonna be mean to me just work it by your self don’t use brainly
A narrow rectangular banner is 5 inches wide. It is 6 times as long as it is wide. what is the area ?
Answer: 30
6 times larger than the width = that's 5×6=30.
Answer:
30 is the answer
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Type the following fractions in order from greatest to least:
5/4, 4/10, 5/12, ¼, 11/12
Write the decimals in the boxes from greatest to least:
0.5, 0.91, 0.04, 0.89, 0.51
Answer:
Just put the greatest number first and then the second greatest etc
If the ratio of circles to triangles you will only need to write ratios in one form of your choice
Answer:
Ratio of area of circles: = πr2 :πc2 = πr2 :π r2 4 = 4 :1. 1. The small equilateral triangle is rotated through 60° about O, the center of the circle. The arm of the rotation is the radius of the circle
Step-by-step explanation:
Consider the following experiment: Rolling a die. What is the sample space of the experiment? What is the probability of getting a 1 or a 2? a. 12 possible outcomes; P(1 or 2) = StartFraction 3 Over 12 EndFraction b. 12 possible outcomes; P(1 or 2) = One-third c. 6 possible outcomes; P(1 or 2) = One-fourth d. 6 possible outcomes; P(1 or 2) = One-third Please select the best answer from the choices provided A B C D
Answer: D
Step-by-step explanation: Edge
Answer:
It is D i think.
3
Sean scored 48 points in 16 basketball games
last season. Approximately how many points did
Sean average per game?
A. .33
B. 3
C. 64
D. 768
Answer: a
Step-by-step explanation:
A rectangle has a height of 4 and a width of x2 + 3x + 2.
Express the area of the entire rectangle.
Expression should be expanded.
Hence, we know that area of rectangle is equals to the product of length and breadth.
Therefore, the area of rectangle is,
[tex] = 4 \times( {x}^{2} +3x + 2 ) \\ = 4({x}^{2} + 3x + 2) \\ = \green{ \boxed{4 {x}^{2} + 12x + 8}}[/tex]
Therefore, the answer is 4x² + 12x + 8.
Leo dug up 6 4/5 pounds of
treasure on his first dig. Anne dug
up 4 1/2 pounds of treasure. How
much more treasure did Leo dig
up than Anne?
3
125 men and 150 women are at a wedding. Write this as a ratio of men to
women in its simplest form.
Answer:
The ratio of men to women in this situation is 5/6.
Step-by-step explanation:
If you rewrite this as a percentage, it is 83.33%.
And also the alternative form of the answer is 0.83.
Hope this helps and if you could mark as brainliest. Thanks!
Answer:
125 : 150
25 : 30
5 : 6
Step-by-step explanation:
men ' s ratio is 5 while women' s is 6
Write an equation perpendicular to x-3y=3 passes through (5,-9)
Equation of a line perpendicular to x - 3y = 3 will be y = -3x + 6.
If two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular, property of perpendicular lines shows,
[tex]m_1\times m_2=-1[/tex]
Line given in the question is,
x - 2y = 3
-2y = 3 - x
[tex]y=\frac{1}{3}x-1[/tex]
Slope of this line is,
[tex]m_1=\frac{1}{3}[/tex]
Therefore, slope of the perpendicular line to the given line will be,
[tex]\frac{1}{3}\times m_2=-1[/tex]
[tex]m_2=-3[/tex]
Equation of a line passing through a point (h, k) and slope 'm' is given by,
y - k = m(x - h)
Therefore, equation of a line passing through (5, -9) and slope (-3) will be,
y - (-9) = -3(x - 5)
y + 9 = -3x + 15
y = -3x + 6
Hence, equation of the line perpendicular to x - 3y = 3 will be y = -3x + 6.
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What are the zeros of the function? h(t)=(t -4)(t+8)
Answer:
4 and -8
Step-by-step explanation:
Anything multiplied by 0 is 0. So we just need to find values of t which will give you a 0 by setting them equal to 0
[tex]t - 4 = 0\\\\t = 4\\\\t + 8 = 0\\\\t = -8[/tex]
4. There were 2000 students at the university.
After some students graduated, there were
1600 students remaining. By what percent did
the number of students at the university
decrease?
Answer:
20%
Step-by-step explanation:
you take away the zeros and make it 16/20. 16/20=80%. 100%-80%=20%
Answer:
20%
Step-by-step explanation:
2000-1600=400
400/2000=1/5=20%
Jonah’s family is ordering dinner. Each adult meal costs $8.50, each kid meal costs $6.75, and each drink costs $1.75. There are a adults and k kids in the family. If everyone orders a meal and a drink, which expression can be used to express the total cost of the meal?
Answer:
one expression you could use could be, 10.25A +8.50K=total
Step-by-step explanation:
you would take 1.75 and add it to the 8.50 for the adults and 6.75 for the kids
Answer:
$8.50a+$6.75k+$1.75a+$1.75k
Step-by-step explanation:
Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin.
Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?
Answer:
multiply 1 1/3 by 8x6 and see how many packages
Help! Will mark brainliest!
Check all that are solutions to −0.25 ≤ 0.5sin(2x) and over 0° ≤ x ≤360°.
Answer:
A C E
Step-by-step explanation:
I'm a little late but I hope this still helps!
Answer:
yeah what he said. A C E
Step-by-step explanation:
I just did the assignment and its right
Brainliest if you provide an explanation and/or get it right!
Q: Find the value of y if x = 3
3. What are all the real and complex solutions of x3 + 2x2 + 3x + 6 = 0? If necessary, round to the nearest tenth.
A. -1.5, 0.3 + 1.9i, 0.3 -1.9i
B. -2, √3, -√3, i√3
C. -2, i√3, -i√3
D. -1.5, 0.3 + i√1.9, 0.3 – √1.9
Answer:
it is C
Step-by-step explanation:
80+300????????????????
Answer:
380
Step-by-step explanation:
300+80=380
Hope that helped.
for what values of x is x2+2x=24 true?
-6 and -4
-4 and 6
4 and -6
6 and 4
Answer:
It is actually choice c
Step-by-step explanation:
I took the test
Answer:
c
Step-by-step explanation:
banlest plzz
Six 2-foot tall pine tress were planted during the school's observation of Earth Awareness Week in 1990. The trees have grown at an average rate of 3/4 foot per year. What Linear equation in y=mx+b y=mx+b form gives the height of the tree in terms of number of years since they were planted?
Answer:
The linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2 OR y = 0.75x + 2
Step-by-step explanation:
In the linear equation, y =mx + b
This is the equation of a straight line where m is the gradient and b is the intercept on the y-axis.
In the equation, y represents the height of the trees after x years.
m is the gradient, that is, the rate at which the trees are growing.
and b is the height at the time they were planted, that is, at time x = 0.
From the question,
Six 2-foot tall pine trees were planted during the school's observation of Earth Awareness Week in 1990, that is,
b = 2
Also, from the question,
The trees have grown at an average rate of 3/4 foot per year, that is,
m = 3/4
Hence, the equation becomes
y = 3/4x + 2 ([tex]y = \frac{3}{4}x + 2[/tex])
OR
y = 0.75x + 2
Hence, the linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2 OR y = 0.75x + 2.
Equation that represents the height of the tree in terms of number of years since they were planted
[tex]y=\frac{3}{4}x+2[/tex]
Given :
Six 2-foot tall pine tress were planted.
The trees have grown at an average rate of 3/4 foot per year.
We need to frame linear equation that represents the height of the tree in terms of number of years.
Linear equation is y=mx+b
where b is the initial height of the tree
m is the rate of growth of the tree
y is the final height of the tree
and x represents the number of years
Initial height of the tree is 2 foot
rate of growth is 3/4 foot per year
x is the number of years
Replace all the values inside y=mx+b formula
[tex]y=\frac{3}{4}x+2[/tex]
Equation that represents the height of the tree in terms of number of years since they were planted
[tex]y=\frac{3}{4}x+2[/tex]
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Answer this math question and ill give brainliest
Answer:
6 squares!
Hope this helped! :)
Determine the y-intercept for 3x+2y=14
Answer:
Using the slope-intercept form, the y-intercept is 7
Step-by-step explanation:
Answer: y=7-3x/2 3x/2 is seen as a fraction
Step-by-step explanation:
Move all the terms that don’t contain y to the right and then solve
You bought a game system tor 120 and sold
it for $150. What is the percent increase?
Answer:
25%
Step-by-step explanation:
I think...
Answer:
25%
Step-by-step explanation:
Name a multiple of 13 that is between 30 and 100.
Answer:
39
Step-by-step explanation:
just did 13 plus 13 plus 13
Write the equation of the line through the points (4,5) and (12,9)
Answer:
y - 9 = 1/2 (x - 12)
Step-by-step explanation:
find slope:
9-5 = 4, 12 - 4 = 8, slope = 1/2
put in point-slope form:
y - 9 = 1/2 (x - 12)