7 -14m = 2m - 5 multi step variables on both sides
7 - 14m = 2m - 5
+14m +14m (add 14 on both sides)
_____________
7 = 16m - 5
+5 + 5 (add 5 on both sides)
_____________
12 = 16m
__ ___ (divide 16 on both sides)
16 16
m = 0.75
Answer:
m = 3/4
Step-by-step explanation:
7 - 14m = 2m - 5 (given)
7 + 5 - 14m = 2m - 5 + 5 (addition poe)
*add 5 to both sides to cancel -5 out*
12 - 14m = 2m
12 - 14m + 14m = 2m + 14m (addition poe)
*add 14m to both sides to cancel -14m* out*
12 = 16m
12/16 = 16m/16 (division poe)
*divide by 16 on both sides to cancel out the coefficient*
12/16 = m
m = 12/16 (symmetric property)
*mirror to the other side*
m = 12÷4/16÷4 (division poe)
*divide the numerator and denominator by its greatest common factor*
m = 3/4
How many solutions does the following equation have ?
-42 – 7 + 10x = -7 + 6x
Pls help and explain
The equation -42 - 7 + 10x = -7 + 6x has one solution x = 10.5.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question, as follows:
-42 - 7 + 10x = -7 + 6x
Combine like terms in the equation,
-49 + 10x = -7 + 6x
Add 49 to both sides,
10x = 42 + 6x
Subtract 6x from both sides,
4x = 42
Divided both sides by 4 into the equation, and we get
x = 10.5
Thus, the equation has one solution x = 10.5.
Learn more about the equations here:
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find the distance between a(-3,1) and b(-5,5)
Answer: 6.4236
Step-by-step explanation:
Two cables, with lengths of 40 feet and 35 feet, are tied from the top of a pole to stakes in
the ground. If the stakes are 30 feet apart, find the height of the pole.
Answer:
The height of the pole is 33.89 feet.
Step-by-step explanation:
Since the length of the cables are 35 feet and 40 feet respectively, the 40 feet cable being farthest from the pole. We know that they are 30 feet apart. This forms a scalene triangle in which the angle between the 40 feet cable and the distance apart of the cables ( or ground) is the angle of elevation of the pole from the 40 feet cable.
So, we use the cosine rule to find this angle of elevation. So,
b² = a² + c² - 2accosB where a = 40 feet , b = 35 feet, c = 30 feet and B = angle of elevation of top of pole from 40 feet cable.
cosB = (a² + c² - b²)/2ac
cosB = (40² + 30² - 35²)/(2 × 40 × 30)
cosB = (1600 + 900 - 1225)/2400
cosB = 1275/2400
cosB = 0.53125
B = cos⁻¹(0.53125)
B = 57.9°
Since we now have the angle of elevation of the top of the pole from the 40 feet cable, we now find the height h of the pole from
sinB = h/40 since the 40 feet cable, the ground and the pole form a right-angled triangle.
h = 40sinB
h = 40sin57.9°
h = 40 × 0.8472
h = 33.89 feet
So, the height of the pole is 33.89 feet.
If f(x) = 3x + 2, what is f(5)?
Answer:
f(5) = 17
Step-by-step explanation:
plug in 5 in the x so 3(5)+2 =17
Answer:
17
Step-by-step explanation:
3(5) + 2 = 17
15 + 2 = 17
Modeling Task 1
A cell phone company charges a monthly rate of $14 and $0.25 a minute per call.
Judy's total cell phone bill is $50. How many minutes, m, was Judy charged for?
Make sure to define your variable, write an equation, solve the equation, and
write a sentence.
Answer:
144 minutes
Step-by-step explanation:
The equation will be 14 + 0.25x = 50
50 - 14 = 36
0.25x = 36
36/0.25 = 144 minutes
help!!
Kathryn had $20 saved and saved $5 each week, w, after. Write an algebraic expression to represent the amount she has saved after a certain number of weeks.
Answer:
20 + 5w
Step-by-step explanation:
20 + 5w
Were 20 is the amount she already has, and 5w is 5 times the unkown amount of weeks (w).
Pls consider marking me as Brainliest! It would mean a lot!
Answer: 5w + 20
Step-by-step explanation:
Because if she earns 5 every week that’s 5w and if she already had 20 that’s +20. So it’s 5w + 20 or 20+5w
describe and correct the error in the solution. (Be specific and explain as
much as you can. What is the correct solution?) *
5(p+3) > 4p + 2
5p+3 > 4p + 2
5p > 4p - 1
p>-1
Answer:
In the second step, 5 should have been distributed to both the p and the 3. To correct this, step two should say 5p+15>4p+2
is this statement true?
two lines form congruent alternate exterior angles with a transversal if the lines are parallel.
i need to get this one right to not fail pls help
Answer:
yes and no,depends.
parrallel cant make any angles exept 180-straight line angle.
What exactly do I do...
Answer:
Step-by-step explanation:
So first you want to number your graph
The first number you want to graph is the first one on the x line, If you numbered in ones it should be 4 to the left from the center
Next graph the 2nd number on the y line, draw a line and connect the -4 and the 7
Answer:
7.9 units
Step-by-step explanation:
You are required to find the distance between the points P and Q whose coordinates are given:
P (0, 0), Q(-4, 7)
[tex] QP= \sqrt{ {( - 4 - 0)}^{2} + ( {7 - 0})^{2} } \\ \\ = \sqrt{( - 4) ^{2} + {(7)}^{2} } \\ \\ = \sqrt{16 + 49} \\ \\ = \sqrt{63} \\ \\ = 7.93725393 \\ \\ = 7.9 \: units[/tex]
I need to find x and I can’t find it someone pls help me
Find X
Answer: y = 23 x = 28
Step-by-step explanation:
First find the value of y.
The angle (5y -4) and 3y forms a straight line which means that if you add them together they will equal 180 degrees. Add them and set them equation to 180 to solve for y.
5y-4 + 3y = 180
8y -4 = 180
+4 +4
8y = 184
y= 23
Since y is equal to 23, then input y into the expression (5y-4) to find the main angle value and then add it with the angle (2x+13) to equal to 180 degrees because they also form a straight angle.
5(23) - 4
115 - 4 = 111
111 + (2x + 13) = 180
124 + 2x = 180
-124 -124
2x = 56
x = 28
x is equal to 28 degrees.
Check.
111 + 2(28) + 13 = 180
111 + 56 + 13 = 180
180 = 180
A tin of baked beans costs 42p. Its price increases by 9% over the next 12 months. How much
will the tin cost now?
Answer:
46p
Step-by-step explanation:
42*1.09=45.78
45.78 rounded up is 46p
I got a score of 3374 on Just Dance. My friend got a score of 5500. How much did my friend beat me by?
Answer:
Your friend beat you by 2126 points.
Explanation:
5500 - 3374 = 2126
Which of the following are solutions to the inequality, 16 < 15 x − 12 ? Select all that apply.
Group of answer choices
-26
3.25
1.8
22/17
28/15
1.86
1.87
25/7
Answer:
25/7, 1.87, 3.25, and 22/7
Step-by-step explanation:
16 < 15x - 12
__________
+12. +12
__________
28 < 15x
__________
÷15 ÷15
__________
28/15 < x
__________
x > 28/15
__________
this is true for any number greater than 1 and 13/15 = 1.8666......
Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Lilianna uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. what does the variable d represent in the equation?
A) Calories per minute Lilianna uses walking
B)Number of calories Lilianna would have used sitting
C) Number of minutes Lilianna walked
PLEASE HELP
12POINTS
Answer:
C) Number of minutes Lilianna walked
Step-by-step explanation:
2. The movie theater has three different sizes of popcorn containers. Enrique found the movie boring and wondered how much more space the larger boxes have for filling purposes. The volume of the popcorn containers in cubic feet are expressed in the
following table.
Size
Small
Medium
Large
Volume Function
s(x) = x3 + 5x2 + 10x + 64
m(x) = 3x3 + 2x2 - 4x - 10
1(x) = 5x3 - x2 + 23x + 2
Write a function d(x) to represent the extra space available in the large box when
compared to the small box. Then, determine the difference between d(x) and m(x).
Answer:
part one: 4x^(3)-6x^(2)+13x-62
part two: x^(3)-8x^(2)+17x-52
Step-by-step explanation:
which of the following expression is NOT equivalent to -17 -(-5)?
A: 5+(-17)
B: -17-5
C:-17+5
D:-12
Answer:
The answer is B.
Reasoning:
-17 - (-5) = -12A. 5 + (-17) = -12✔
B. -17 - 5 = -22 ✖
C. -17 + 5 = -12 ✔
D. -12 ✔
Answer:
B: -17+5
Step- by- step explanation
The function y = -3x + 42 models the average number of dogs at an animal shelter, where x is the number of days after July 1. The
function y = 4x + 7 models the average number of cats at the animal shelter, where x is the number of days after July 1. After how many
days is the average number of cats and dogs at the shelter the same?
Answer:
27 days
Step-by-step explanation:
I put a picture of the graph for you.
Select the correct answer.
What is the solution for x in the equation? 5/3x+4=2/3x
Answer:
x = -4
Step-by-step explanation:
5/3x + 4 = 2/3x
5/3*(-4) + 4 = 2/3*(-4)
8/3 = 8/3
help me out people, ill give brainliest to whoever answers best :P
Answer:
2 a
No the solution is not the same for both moves.
because the result is not the same.Also the first move lead to an error.
2 b
The solution is d=0
Tom bought 2 pounds bananas for $3. How much would it cost for 5 pounds of bananas?
Answer:
It would be $7.50.
Step-by-step explanation: 2 pounds of bananas is $3, so we know that 4 pounds of bananas would be $6. Now, 1 pound of bananas would be $1.50! Because 1 pound is half of 2 pounds. Knowing this, one pound of bananas would be $1.50, beucuase its half.
Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?
–21
–4
11
27
Find the slope that passes between the points.
(y₂ - y₁) / (x₂ - x₁)
J(-4, -5)
K(-6, 3)
(3 - (-5)) / (-6 - (-4))
(3 + 5) / (-6 + 4)
8 / -2
-4
Now slap that slope into the formula and substitute on of the coordinates to the formula to solve for b (I'll take point K's coordinate):
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
- 21 = b
b = -21
If the equation of the line is written in slope-intercept form, y = mx + b, then the value of b is -21 and is denoted as option A.
What is Slope?This is also referred to as the gradient of a line and measures its steepness and direction.
Slope = (y₂ - y₁) / (x₂ - x₁)
ParametersJ(-4, -5) and K(-6, 3)
= (3 - (-5)) / (-6 - (-4))
= (3 + 5) / (-6 + 4)
= 8 / -2
= -4
Substitute one of the coordinates into the formula to solve for b
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
b = - 21
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Write a story that can be represented by the following equation: x + 16 = 42
Answer:
Amanda bought 42 apples and gave 16 away how many are left.
Step-by-step explanation:
X=26
Answer:
Renee runs a dogwalking business. She walked 42 dogs over the weekend. On Saturday she walked 16 dogs but Renee can't remember how many she walked on Sunday. Write and equation to find how many dogs Renee walked on Sunday where x is the number of dogs she walked on Sunday.
Does anyone know the answer to question one: How many lawns will Dominic need to mow in order to make $240?
Answer:
40
Step-by-step explanation:
Pls help What is 64% of 225?
144
Step-by-step explanation:Hi there !
64% of 225 =
= 64%×225
= 64/100 × 225
= 64×225/100
= 14400/100
= 144
Good luck !
Which expression is equivalent to −3/4÷(−8/12)?
−3/4×8/12
3/4×(−8/12)
−3/4×12/8
3/4×12/8
NEED HELP ASAP!
Answer:
3/4 × 12/8
Step-by-step explanation:
The answer would be 3/4 × 12/8 because when multiplying two negatives, they become a positive. Also, when dividing fractions, you switch the denominator and numerator of the last fraction and multiply the first fraction by the new second fraction. (Example: In 1/2 ÷ 5/6, 5/6 becomes 6/5. Then, you multiply 1/2 by 6/5.)
The equivalent of the given expression will be the expression 3/4 x 12/8. Then the correct option is D.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ −3/4 ÷ (−8/12)
Simplify the expression, then the equivalent expression will be
⇒ −3/4 ÷ (−8/12)
⇒ −3/4 x (−12/8)
⇒ 3/4 x 12/8
The equivalent of the given expression will be the expression 3/4 x 12/8. Then the correct option is D.
More about the equivalent link is given below.
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Please help
...................
Answer:
It is the third one!
Step-by-step explanation:
Find the volume of the box.
3
6 ft
5 Ft
The volume of the box is
cubic feet.
Given: Lines a and b are parallel and line c is a transversal. Prove: Angle2 is supplementary to Angle8 Horizontal and parallel lines a and b are cut by transversal c. On line a where it intersects line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 2, 4, 3. On line b where it intersects line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 5, 6, 8, 7. What is the missing reason in the proof? Statement Reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
Answer:
The correct option is;
Corresponding angles theorem
Step-by-step explanation:
Type of lines of lines a and b = Horizontal and parallel lines
The transversal to a and b = Line c
The angles between a and c labelled clockwise from the upper left quarter segment = 1, 2, 4 and 3
The angles between b and c labelled clockwise from the upper left segment = 5, 6, 8 and 7
Therefore, we have;
Statement [tex]{}[/tex] Reason
1. a║b, c is a transversal [tex]{}[/tex] Given
2. ∠6 ≅ ∠2 [tex]{}[/tex] Corresponding angles theorem
3. m∠6 = m∠2 [tex]{}[/tex] Definition of congruent
4. ∠6 is supp. to ∠8 [tex]{}[/tex] Definition of linear pair
5. ∠2 is supp. to ∠8 [tex]{}[/tex] Congruent supplement theorem
Corresponding angles are the angles located in spatially similar or matching corners of two lines that have been crossed by the same transversal. When the two lines having a common transversal are parallel, the corresponding angles will be congruent.
a six pack of soda is on sale
Answer:
that is not complete you would need the starting price and the percentage
hope that helps good luck
Answer:
what's the question?
Step-by-step explanation:
i dont know cz u didnt put the question n only a lil bit of information