Answer:
1) 6r+7=13+7r —> 7r–6r=7–13 —> r = – 6
2) 13–4x=1–x —> 4x–x=13–1 —> 3x=12 —> x=12/3 —> x=4
3)–7x–3x+2=–8x–8 —> –8x+7x+3x=2+8 —> 2x=10 –> x= 10/2 –> x= 5
4)–8–x=x–4x —> –x–x+4x=8 —> 2X=8 —> x= 8/2 —> x= 4
5) –14+6b+7-2b=1+5b —> 5b +2b –6b = –14+7–1 —> b=–8
6) n+2=–14–n —> n+n=–14–2 —> 2n = –16 —> n = – 16/ 2 —> n = – 8
7) n – 3n = 14 –4n —> n –3n + 4n = 14 —> 2n = 14 —> n = 14/ 2 —> n = 7
8) 7a – 3 = 3 + 6a —> 7a – 6a = 3 + 3 —> a = 6
9) 3(1–3x ) =2(–4x+7) —> 3 –9x = –8x+14 —> 9x–8x = 3–14 —> x = –11
10) –10 +x+4–5 =7x –5 —> 7x–x = –10+4–5 +5 —> 6x = –6 —> x= –6/6 —> x = –1
11) –8n +4(1+5n)=–6n–14 —> –8n +4 + 20n = – 6n– 14
20n –8n +6n= –14 –4 —> 18n = – 18 —> n = –18/18 —> n = –1
12) –6n–20=–2n +4(1–3n) —> –6n –20 = – 2n +4 –12n —> 12n +2n –6n = 4 +20 —> 8n =24 —> n = 24/8 —> n =3
I hope I helped you^_^
Answer:
1.
6r + 7 = 13 +7r
6r - 7r = 13-7
-r = 6
r = 6
2.
13 - 4x = 1-x
-4x +x = 1 -13
-3x = -12
x = -12 / -3
x = 4
3.
-7x - 3x + 2 = -8x -8
-10x +2 = -8x -8
-10x +8x = -8 -2
-2x = -6
x = -6 / -2
x = 3
4.
-8 - x = x- 4x
-8 - x = -3x
-x + 3x = -8
2x = -8
x = -8 / 2
x = -4
5.
-14 + 6b + 7 -2b = 1 + 5b
-7 + 4b = 1 + 5b
4b - 5b = 1 + 7
-b = 8
b = -8
6.
n + 2 = -14 -n
n + n = -14 -2
2n = - 16
n = -16 / 2
n = -8
7.
n - 3n = 14 -4n
-2n = 14 - 4n
-2n +4n = 14
2n = 14
n = 14 /2
n = 7
8.
7a - 3 = 3 + 6a
7a - 6a = 3 +3
a = 6
9.
3 ( 1 - 3x ) = 2 (-4x + 7)
3 - 9x = -8x +14
-9x +8x = 14 - 3
-x = 11
x = -11
10.
-10 + x + 4 - 5 = 7x - 5
-10 +x -1 = 7x - 5
-11 + x = 7x - 5
-11 + 5 = 7x -x
-6 = 6x
x = -6/6
x = -1
11.
-8n + 4 ( 1 + 5n ) = -6n -14
-8n + 4 + 20n = -6n -14
12n +4 = -6n -14
12n + 6n = -14 -4
18n = -18
n = -18/18
n = -1
12.
-6n - 20 = -2n + 4 ( 1 - 3n)
-6n - 20 = -2n + 4 - 12n
-6n - 20 = -14n +4
-20 -4 = -14n +6n
-24 = 8n
n = -24/8
n = -3
1. Find the measure of angle R.
Answer:
the first option 40 degrees
Step-by-step explanation:
the outward angle at the center of the circle between the two tangential points is 220 degrees.
that means that the inward angle between them is
360 - 220 = 140 degrees.
now consider that there is a triangle between the center of the circle, one of the tangential points (it does not matter which one, as the upper and the lower triangles are equal) and the point R.
we know the angle at the tangential point : 90 degrees by definition (otherwise it would not be a tangent).
and we know the angle at center of the circle, which is half of the inward angle
140 / 2 = 70 degrees.
and at point R we have half of the full angle R.
we can calculate that half by using the fact that the sum of all angles in a triangle is always 180 degrees.
180 = 90 + 70 + R/2
180 = 160 + R/2
20 = R/2
R = 40 degrees
Ashley sells 18.6 kg bags of mixed nuts that contain 60% peanuts. To make her product she adds peanuts to Brand A's mixed nuts which contain 20% peanuts. How much of each does she combine?
Answer:
She combines 9.3 kg of each.
Step-by-step explanation:
Let x = amount of brand A in kg
Let y = amount of peanuts in kg
First we deal with the amount of each product she uses.
"Ashley sells 18.6 kg bags of mixed nuts that contain 60% peanuts."
x + y = 18.6
Now we deal with just the amount of peanuts.
"To make her product she adds peanuts to Brand A's mixed nuts which contain 20% peanuts."
Brand A contains 20% peanuts, so x kg of brand A contains 0.2x kg of peanuts.
The peanuts she adds are pure peanuts, so all of y is peanuts.
The result is 18.6 kg of a mixture that is 60% peanuts, so the amount of peanuts in the bags she sells is 0.6 * 18.6 kg.
0.2x + y = 0.6 * 18.6
0.2x + y = 11.16
We have a system of equations:
x + y = 18.6
0.2x + y = 11.16
We have y in both equations, so let's subtract the second equation from the first equation to eliminate y.
0.8x = 7.44
Divide both sides by 0.8
x = 9.3
Plug in 9.3 for x in the first equation of the system and solve for y.
x + y = 18.6
9.3 + y = 18.6
y = 9.3
Answer: She combines 9.3 kg of each.
Find the perimeter of the square. Be sure to write the correct unit in your answer.
21 yd
Perimeter is the distance around the outside.
A square has 4 equal sides:
Perimeter = 21 x 4 = 84 yards
Answer: Perimeter = 84 yd
Explanation:
Perimeter of square = 4 × side
Side = 21 yd
Perimeter = 4 × 21
= 84 yd
Must click thanks and mark brainliest
♥️♥️PLEASE ANSWER♥️❤️
Find the slope of the line that contains (8, -2) and (-2, -2).
Answer:
y = -2
Step-by-step explanation:
y2 - y1 / x2 - x1
-2 - (-2) / -2 - 8
0/-10
= 0
y = 0x + b
-2 = 0(-2) + b
-2 = 0 + b
-2 = b
Answer:
Y = -2
slope = 0
Step-by-step explanation:
x1 y1 x2 y2
8 -2 -2 -2
(Y2-Y1) (-2)-(-2)= 0 ΔY 0
(X2-X1) (-2)-(8)= -10 ΔX -10
slope= 0
B= -2
Y = -2
Please help will give brainliest, pls don’t just guess
Answer:
B = multiply both sides by 2y+1
Step-by-step explanation:
Answer:
B. multiply both sides by the equation 2y + 1
Line A has the equation: y = 2x + 5.
Determine the equation of line B when it is parallel to line A and passes through (0 , -4).
Answer:
y=2x-4
Step-by-step explanation:
The slope of the line is 2 and y intercept is - 4. The equation will be y=2x-4
A herd of cows gives 4 litres of milk each day. But each cow gives one-third of total milk
each day. They give 24 litres milk in six days. How many cows are there in the herd?
Answer:
4 divided by one third then you take the answer and divide it with 24
hope i could help
7* = 343/7* = 56 solve???
help me please
Answer:
the answer is 7-57 #5376
what is the value of 5 to the power of 4 times 5 to the power minus 6
Answer:
5^-2 or 0.04
Step-by-step explanation:
when you times you add the powers
4 + (-6) = -2
5^-2
Find the measure of b.
please help!
=======================================================
Explanation:
The inscribed angle 20 degrees doubles to 2*20 = 40 which is the measure of the central angle, and the arc in which the inscribed angle subtends (or cuts off). This is due to the aptly named inscribed angle theorem.
------------
A slightly longer alternative path would be to do this:
The triangle with interior angles 20 and c is isosceles. Note how the missing angle up top is one of the congruent base angles, so the missing angle is 20 degrees. That means angle c is...
20+20+c = 180
40+c = 180
c = 180-40
c = 140
Then angle b is supplementary to this
b+c = 180
b+140 = 180
b = 180-140
b = 40
This path leads to the same answer. It's slightly longer, but it's a path you can take if you aren't familiar with the inscribed angle theorem.
In fact, this line of thinking is effectively how the inscribed angle theorem is proved as shown in the diagram below.
Kami's fitness trainer recommends that she drinks 121212 fluid ounces of water 888 times a day.
How many cups does Kami drink in one day?
Answer:
13,454,532 cups a day
Step-by-step explanation:
121212*888=107,636,256 8 fluid ounces in a cup so divide by 8 to get 13,454,532.
1.Waheeda mixes water with some lemon juice to make lemonade. Write an equation to represent how much lemon juice is needed when Waheeda uses 18 ounces of water.
2. Identify the independent and dependent variables in the situation.
Independent variable: Dependent variable: b) Write an equation representing the amount Waheeda earns in relation to the number of glasses of lemonade she sells.
Equation: c) In which Quadrant of a graph would her data appear? Explain.
1. The equation is 18 = 3 × x
2. a) The independent variable is the of ounces of lemon juice in the lemonade
b) A = a × b
c) First quadrant
The procedure to find the above answers are presented here as follows;
1. The following is the table of values of the data
[tex]\begin{array}{ccc} Lemon \ juice \ ounces \ (x)& & Water \ in \ ounces \ (y)\\2&&6\\3&&9\\4&&12\\5&&15\end{array}[/tex]
The given data in the table shows that the Lemon juice ounces, x, and the Water in ounces, y, have a direct proportionality relationship which is given as follows;
y ∝ x
∴ y = k × x
Where;
k = The constant of proportionality
k = y/x
Therefore;
k = 6/2 = 9/3 = 12/4 = 15/5 = 3
k = 3
y = k × x
∴ y = 3 × x
Therefore;
The equation to represent how much lemon juice, x, is needed when Waheeda uses y = 18 ounces of water is given by placing y = 18 in y = 3 × x as to get;
18 = 3 × x
∴ x = 18/3 = 6; 6 ounces of lemon juice is needed with 18 ounces of water
2. The independent variable is the input or causing variable that determines the output variable
Therefore, the independent variable is the number of ounces of lemon juice required to be mixed with a given number of ounce of water to make lemonade
b) Let a represent the selling price for a glass of lemonade, let b represent the number of glasses of lemonade she sells, and let A represent the amount she earns, we have;
A = a × b
c) The given x and y values in the data are both positive values, which indicate that the data would appear in the first quadrant
Learn more about dependent and independent variable here;
https://brainly.com/question/18456313
what is the units of the partial circle
Answer:
[tex]arc \: length = 2\pi \: r( \frac{θ}{360} ) \\ = 2 \times 3.14 \times 7 \times ( \frac{90}{360} ) \\ = 10.9 \\ = 11[/tex]
I hope I helped you^_^
Last month Grace worked, and was paid for, a total of x hours. Some of the hours were on the day shift and the remainder of the hours were on the night shift. Her hourly pay is 20% higher for the night shift than for the day shift. How many hours did Grace work on the day shift last month
Say her hourly pay was $p for the day shift and $1.2p for the night shift.
(1) x = 55. Clearly insufficient: we need to know how these 55 hours are split between the day shift hours and the night shift hour.
(2) Grace's gross pay for the hours she worked on day shift last month was exactly 50% of her total gross pay for last month. Not sufficient.
(1)+(2) Say Grace worked h hours on the day shift and 55-h hours on the night shift. Thus, her pay for the the hours she worked on day shift is $ph and the total gross pay is $ph+(55-h)*1.2p. From (2) we have that ph=0.5(ph+(55-h)*1.2p) --> reduce by p: h=0.5(h+(55-h)*1.2). We have 1 variable, so we can solve for it. Sufficient.
Answer: C.
When you calculate (ln) 7, you would be finding the value of which of the following expressions?
log_e 7
log_7 10
log_10 7
log_7 e
Answer:
log_e (7)
Step-by-step explanation:
(ln) 7,
ln stands for natural log, which is log base e
log_e (7)
The difference between the annual and semi-annual compound interest on a sum of money is Rs 482 at the rate of 20 % per annum for 2 years. Find the sum.
graph the line that passes through the points (-3,-7) and (-2,-7) and determine the equation of the line
Answer:
y = -7
Step-by-step explanation:
y2 - y1 / x2 - x1
-7 - (-7) / -2 - (-3)
0/1
= 0
y = 0x + b
-7 = 0(-2) + b
-7 = 0 + b
-7 = b
What are the two square roots of 9/4?
Answer:
3/2
Step-by-step explanation:
3^2=9
2^2=4
3/2 and -3/2
sqr of 9 is 3 or 3
sqr of 4 is 2 or -2
What is the area of the obtuse triangle below?
9
다.
11
O A. 49.5 sq. units
OB. 99 sq. units
C. 10 sq. units
D. 20.5 sq. units
Answer:
49•5
Step-by-step explanation:
A= hb×b÷2
given
hb=height=9
b=base=11
The area of the triangle will be 49.5 square units. Then the correct option is A.
What is the area of the triangle?Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,
A = (1/2) × h·b
The height of the triangle is 9 units and the base of the triangle is 11 units. Then the area of the triangle is calculated as,
A = 1/2 x 11 x 9
A = 11 x 4.5
A = 49.5 square units
The area of the triangle will be 49.5 square units. Then the correct option is A.
More about the area of the triangle link is given below.
https://brainly.com/question/19305981
#SPJ7
Identify the constant in the expression -2 + 6c + 3c
Answer:
-2
Step-by-step explanation:
The constant has only a number and no variable
-2 +6c +3c
-2 is the constant
6 is a coefficient for the variable term
3 is a coefficient for the variable term
-2
How
Simplify the equation[tex]\\ \sf\longmapsto -2+6c+3c[/tex]
[tex]\\ \sf\longmapsto -2+(6+3)c[/tex]
[tex]\\ \sf\longmapsto -2+9c[/tex]
[tex]\\ \sf\longmapsto 9c-2[/tex]
-2 is constanthelp please
!!!!! this is 4 summer
Answer:
2. 8/10
3. 27/100
4. 75/100 or 3/4
Step-by-step explanation:
•First, put the number on top of 1 in a fraction.
•Multiply the top and the bottom by 10 for every number after the decimal point.
2.
Number on top of 1 in a fraction:
0.8/1
As there is 1 number after the decimal place, you would have to times the top and bottom by 10.
8/10
3.
Number on top of 1:
0.27/1
Times top and the bottom by 100:
27/100
4.
Number on top of 1:
0.75/1
Times top and bottom by 100:
75/100
Simplify (if needed):
3/4
Hope this helps :)
What is the area of a rectangle whose length is (5x + 2)cm and whose width is (3x + 1)cm?
Answer:
[tex]\displaystyle A = 15x^2 + 11x + 2\text{ cm}^2[/tex]
Step-by-step explanation:
We are given that the length and width of a rectangle is given by:
[tex]\ell = (5x + 2)\text{ cm} \text{ and } w = (3x+1)\text{ cm}[/tex]
And we want to find the area of the rectangle.
Recall that the area of a rectangle is given by:
[tex]\displaystyle A = w\ell[/tex]
Substitute:
[tex]A = (3x+1)(5x+2)[/tex]
Expand and simplify:
[tex]\displaystyle \begin{aligned}A &= 5x(3x+1) + 2(3x+1) \\ &= (15x^2+5x)+(6x+2) \\ &= (15x^2)+(5x+6x)+(2) \\ &= 15x^2 + 11x +2 \end{aligned}[/tex]
Hence, the area of the rectangle is:
[tex]\displaystyle A = 15x^2 + 11x + 2\text{ cm}^2[/tex]
2. Mr. McGrath is ordering pizza for the girls soccer team. A large cheese pizza costs $10, plus 80¢ for each
additional topping (including extra cheese!).
Complete the table below.
Answer:
i think iys 6 lol
Step-by-step explanation:
its wright
Is (3,8) a solution to the inequality 14x + 12y = 12?
A line segment has the endpoints T(10, 4) and U(8,4). Find the coordinates of its midpoint
M.
Write the coordinates as decimals or integers.
M =
Answer:
(9,4)
Step-by-step explanation:
Using the Midpoint theorem, we have
x=(10+8)/2=18/2=9
y=(4+4)/2=8/2=4
NEED EXPLANATION TOO! THANKS BESTIES
There are 3 different trains running to London. One train
leaves every 10 minutes, another leaves every 35 minutes,
and the last one leaves every 40 minutes. They first leave at
5:30am. What Time do they all leave again at the same time?
Answer:
2:50pm
Step-by-step explanation:
You have to find the least common multiple (LCM) between the 3 times. If you don't know what is the LCM, just say it and I'll try to explain for you in the comments.
10, 35, 40 have as LCM the number 560
So it means they'll leave together 560 minutes after 5:30am
One hour is 60 minutes, so we can divide 560 by 60 to find the time in hours:
560/60 = 9 hours and 20 minutes (the rest of the division will be the minutes)
So, they'll leave together at 2:50pm
Which equation represents a line which is parallel to the line 7y-x=-56
y=-1/7+1
y=1/7x-1
y=7x-4
y=-7x-2
Answer:
The parallel line is y = 1/7 x - 1
hope this helps!
Solve for X. Geometry
Answer: " x = 10 " .
Step-by-step explanation:
Note the top "line segment" ; and the bottom "line"; have equal measurements:
The length of the top line segment is:
" (2x − 8) + 5 ."
The length of the bottom line is: " (x + 7) " ;
__________
To solve for "x" ;
___________
(2x − 8) + 5 = (x + 7) ;
Rewrite as:
2x − 8 + 5 = x + 7 ;
Note: −8 + 5 = -3 ;
_______________
Rewrite the equation as:
2x − 3 = x + 7 ;
We can subtract "x" from each side of the equation;
and add "3" to each side of the equation:
2x − 3 − x + 3 = x + 7 − x + 3 ;
_______________
to get:
_______________
x = 10 .
_______________
Let us check our answer
(2x − 8) + 5 =? (x + 7) ;
________
(2*10 − 8) + 5 =? (10 + 7) ? ;
(20 − 8) + 5 =? 17 ?
12 + 5 =? 17 ? Yes!
_______________
Best wishes in your academic pursuits!
_______________
1. 8y = 48
2. q — 12 = 1
3. 18 = a/2
4. r/3 = 7
5. 11 = m — 4
Hello!
1. 8y = 48 => y = 48 : 8 => y = 6
2. q - 12 = 1 => q = 1 + 12 => q = 13
3. 18 = a/2 => a = 18 × 2 => a = 36
4. r/3 = 7 => r = 3 × 7 => r = 21
5. 11 = m - 4 => m = 11 + 4 => m = 15
Good luck! :)
James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough
because he should specify that
O a circle includes its diameter
O the set of points is in a plane
O a circle includes its radius
O the set of points are collinear
Answer:
I can confirm that it is: B, the set of points is in a plane
Step-by-step explanation:
It is right.