Answer:
x = 381/24 = 3 29/84
Step-by-step explanation:
7x + 1/2(x + 1/4) = 3(6x - 9) - 8
Use the distributive property to multiply 1/2 by x + 1/4.
7x + 1/2x + 1/8 = 3(6x - 9) - 8
Combine 7x (14/2x) and 1/2x to get 15/2.
15/2x + 1/8 = 3(6x - 9) - 8
Use the distributive property to multiply 3 by 6x - 9.
15/2x + 1/8 = 18x - 27 - 8
Subtract 8 from -27 to get -35.
15/2x + 1/8 = 18x - 35
Subtract 18x from both sides.
-21/2x + 1/8 = -35
Subtract 1/8 from both sides.
-21/2x = -35 - 1/8
-35 is the same as -280/8.
-21/2x = (-280 - 1)/8
Subtract 1 from -280 to get -281.
-21/2x = -281/8
Multiply both sides by -2/21 (reciprocal of -21/2).
x = (-281 * -2)/(8 * 21)
You can cross cancel -2 and 8 by extracting 2 (they become -1 and 4 respectively).
x = (-281 * -1)/(4 * 21)
Multiply -281 by -1 to get 281.
x = 281/(4 * 21)
Multiply 4 by 21 to get 84.
x = 281/84
Can this fraction be simplified into a mixed number? Yes it can. It becomes 3 29/84. (252 (3 * 84) + 29 = 281)
x = 3 29/84
Work check: x is substituted for 281/84 (convenience)
7 * 281/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8
1967/84 + 1/2(281/84 + 1/4) = 3((6 * 281)/84 - 9) - 8
1967/84 + 1/2(302/84) = 3((6 * 281)/84 - 9) - 8
(1967 + 151)/84 = 3((6 * 281)/84 - 9) - 8
2118/84 = 3(1686/84 - 9) - 8
2118/84 = 3((1686 - 756)/84) - 8
2118/84 = 3(930/84) - 8
2118/84 = 2790/84 - 672/84
2118/84 = (2790 - 672)/84
2118/84 = 2118/84
So x = 3 29/84 is correct.
The average of Aaron's three test scores must be at least
93 to earn an A in the class. Aaron scored 89 on the first
test and 94 on the second test. What scores can Aaron
get on his third test to guarantee an A in the class? (The
highest possible score is 100.)
Answer:
96
Step-by-step explanation:
The coordinates of the vertices of △GHI are G(−7,2), H(−2,2), and I(−2,8). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.
GH = 5, HI = 6, GI ≈ 8.81
m∠G = 90°, m∠H ≈ 50°, m∠I ≈ 40°
GH = 6, HI = 5, GI ≈ 7.81
m∠H = 90°, m∠G ≈ 40°, m∠I ≈ 50°
GH = 5, HI = 6, GI ≈ 7.81
m∠H = 90°, m∠G ≈ 50°, m∠I ≈ 40°
GH = 6, HI = 5, GI ≈ 8.81
m∠G = 90°, m∠H ≈ 40°, m∠I ≈ 50°
Answer:
GH = 5, HI = 6, GI ≈ 7.81
m∠H = 90°, m∠G ≈ 50°, m∠I ≈ 40°
Step-by-step explanation:
What is the equation of the line shown in the graph?
Answer:it would be y=2x+3
Step-by-step explanation:
If you find the slope of 2 over and 1 up it is a positive slope of 2 and then the slope is always _x so it’s 2x + the y intercept which is 3 and the y intercept is just the cordon are where x=0
The amount of money in a bank account increased by 17.5 % 17.5% over one year. If the amount of money at the beginning of the year is represented by A A, which expression below represents the amount of money in the bank account after the increase?
Answer: 1.175A
Step-by-step explanation:
From the information given in the question, we are told that the amount of money that is in a bank account increased by 17.5% while the money at the beginning of the year is represented by A.
The expression that represents the amount of money in the bank account after the increase will be:
= A + (17.5% × A)
= A + (17.5/100 × A)
= A + (0.175 × A)
= A + 0.175A
= 1.175A
In parallelogram ABCD, LA = 120°. What is AD?
O80°
O 120°
O60°
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.
A = 46°, b = 27 ft, c = 14 ft
271.91 ft2
131.29 ft2
378 ft2
135.96 ft2
Answer:
135.96 ft2
Step-by-step explanation:
Answer:
The answer is 135.96 ft^2
Step-by-step explanation:
The answer is 135.96 ft^2
what is -7/5 rounded to the nearest tenth?
Answer:
-1.4
Step-by-step explanation:
-7/5 = -1.4
The slope of a line is -1/3, and the y-intercept is 10/3 . What is the equation of the line written in general form?
10x + 3y - 1 = 0
x + 3y + 10 = 0
x + 3y - 10 = 0
Answer:
x+3y-10=0 I hope it helps you
A triangle has one side measuring 5 feet and two sides measuring 7 feet. What kind of
triangle is it?
equilateral
isosceles but not equilateral
scalene
Answer:
isoceles but not equilateral
Step-by-step explanation:
it has two sides that are the same length, but not all three sides are the same length
An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal
please help me!!!!!!
I NEED HELPPPPP. SOMEONE ANSWER THISSSS
Answer:y=415 x = 21.5
Step-by-step explanation:
We can see 4x-37 = 49
4x = 86
x = 21.5
4(21.5) -3 = 83
Then we can see what the other side is because they are equal
y/5 = 83
83 x 5 = 415
y=415
If C = x + 6 and D = 3x - 6 + 4x2, find an expression that equals C + 3D in
standard form.
Help please
Answer:
12x²+10x-12
Step-by-step explanation:
x+6 + 3(3x-6+4x²)
x+6 +9x-18+12x²
12x²+10x-12
12. In y > x + 4, where can we find the solution set?
A. above the line
C. in the line
B. below the line
D. no solution set
13. The statement, "the sum of two numbers is at least 29" can be expressed as:
A. x + y > 29 B. x + y < 29 C. x + y = 29 D. x + y = 2
14. The elevator has a maximum capacity (C) of 8 persons. Which of the following mathematical statement represent the given situation?
A.C = 8
B. C < 8
C. c 28
D. none of these
15. Bryan bought 6 chocolate candies and 3 lollipops. If x represent the cost of
chocolate candies and y represent the cost of lollipops, what will be the
mathematical representation of the total cost if he paid at most Php50?
A.6x + 3y > 50
C. 6x + 3y > 50
B.6x + 3y = 50
D. 6x + 3y < 5
Answer:
1) D
2)A
3)D
4)A
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Answer:
I hope I can help you
Step-by-step explanation:
I hope I can help you
Solve using the substitution method
x = 8y - 4
x + 8y = 6
i will give brainliest and pls show work
You are told x = 8y -4
Replace x in the second equation with 8y-4:
8y-4 + 8y = 6
Combine like terms:
16y-4 = 6
Add 4 to both sides:
16y = 10
Divide both sides by 16:
Y = 10/16
Simplify:
Y = 5/8
Now replace y with 5/8 do find x:
X = 8(5/8) -4 = 5-4 = 1
X = 1, y = 5/8
(1,5/8)
Solve the equation:
b - 1.6 ÷ 4 = - 3
b = _____
Answer:
-2.6
Step-by-step explanation:
Simplify the expression (-6+3i)+(6+4i)
Answer:
7iExplanation:
(-6 + 3i) + (6 + 4i)
-6 + 6 = 0
3i + 4i = 7i
7iNeed help with number 4 please due today
Answer:
#4 is not a function because not every x-value corresponds with only one y-value
Step-by-step explanation:
Q. A bag contains 5 quarters, 2 dimes, and 4
pennies. What is the probability of picking
quarter?
Answer:
5/11
Step-by-step explanation: hope it helps!
Write down the exact value of:
a) cos 90
b) sin 90
c) tan 0
Answer:
The exact value of
cos90 is 0
sin90 is 1
tan90 is indeterminate.
Answer:
[tex] \cos(90) = 0 \\ \sin(90) = 1 \\ \tan(0) = 0[/tex]
Write 8134 5 correct to 2 significant figures
Answer:81000
Step-by-step explanation:
134 rounds down
Which equation shows that y varies directly with x?
y = 0.8x
y = 0.8x/x
y = 0.8x - 5
y = x/8 + 5
Rewrite the system of equations in slope intercept form
Y - 5 = -4x
3y - 9 = -6x
The slope-intercept form of the first equation is _______
The slope intercept form of the second equation is _______
Answer:
✔ y = –4x + 5
✔ y = –2x + 3
Step-by-step explanation:
We can write -
The slope-intercept form of the first equation is y = - 4x + 5.The slope intercept form of the second equation is y = - 2x + 3.What is the general equation of a Straight line?
The general equation of a straight line in slope intercept form -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have the given system of equations as -
y - 5 = - 4x
3y - 9 = - 6x
The given system of equations is -
y - 5 = - 4x
3y - 9 = - 6x
Now -
y - 5 = - 4x
y = - 4x + 5
and
3y - 9 = - 6x
3y = - 6x + 9
y = (-6/3)x + (9/3)
y = - 2x + 3
So, we can write -
The slope-intercept form of the first equation is y = - 4x + 5.
The slope intercept form of the second equation is y = - 2x + 3.
Therefore, we can write -
The slope-intercept form of the first equation is y = - 4x + 5.The slope intercept form of the second equation is y = - 2x + 3.To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ2
What is the value of y = 7 - 2x when
X=4?
When x = 4, y =
Need help on this... First one to answer this correctly, I will give you a BRANLIST
Answer:
wheres the problem?
Step-by-step explanation:
Solve
n + 11 = -2
How do i solve this
multiple choice! please help me :)
>
Jess was drawing a map of her neighborhood. What is the measure of the angle of the intersection between Derby
Drive and Rosemont?
>
Academy
(3x + 15°
Rosemont
ogle Play
1030
(x + 10)
Derby Drive
13
23
54
ENG 12:13 AM
INTL 2/3/2021
Answer:
23 degrees
Step-by-step explanation:
Find the diagram attached
The sum of angle on the straight line is 180°
103+3x+15+x+10 = 180
128+4x =180
4x = 180-128
4x = 52
x = 52/4
x = 13
The measure of the angle of the intersection between Derby Drive and Rosemont is x+10
= 13+10
= 23 degrees
Hence the measure of the angle is 23 degrees
HELP ME PLEASE
A rectangular solid measures 24 cm x 12 cm x 2 cm. What is it's total surface area?
Answer:
288 square meters
Step-by-step explanation:
What is the square root of x to the 10 power
Answer:
x^5
Step-by-step explanation:
Karen runs 6 miles in 44 minutes. At the same rate, how many minutes would she take to run 9 miles?
Answer:
the answer would be 66 minutes
Answer:
66 minutes was correct for me
Step-by-step explanation:
math