Answer:
Addition Property of Equality.
Inverse property of multiplication.
Step-by-step explanation:
Given the equation:
[tex]7y-15=-29[/tex]
First of all, let us use Addition Property of Equality.
According to the property, if we add a number on both sides of an equality, there is no change in the equality.
In other words, the equality will be same if we add the same number on Left Hand Side and Right Hand Side of the equality.
First of all, let us add 15 on both sides of the equality:
[tex]7y-15+15=-29+15\\\Rightarrow 7y=-14[/tex]
Now, let us Inverse property of multiplication.
i.e. Multiplication of a number with its inverse is equal to 1.
[tex]a\times \frac{1}{a} = 1[/tex]
So, let us multiply the given equation with [tex]\frac{1}7[/tex]
[tex]7y \times \dfrac{1}{7}=-14 \times \dfrac{1}{7}\\\Rightarrow 1y =-2\\\Rightarrow y=-2[/tex]
The properties used are:
Addition Property of Equality.
Inverse property of multiplication.
what is an numerator
Answer:
A numerator is the top part of a fraction.
Step-by-step explanation:
__2__
3
In the above fraction 2 is the numerator and 3 is the denominator.
I just need b please
please also explain, this is one of the last problems i need to do for this!
Answer:
[tex](\frac{3}{2} , -\frac{5}{4})[/tex]
Answer: They intersect at [tex](\frac{3}{2},-\frac{5}{4} )[/tex]
Step-by-step explanation:
x-2y = 4
7x + 2y = 8
We will solve the equations using the substitution method so we will solve for y in one of the equations and and substitute it into the other equation to solve for x.
x - 2y = 4
-x -x
-2y = 4 - 1x Divide both sides by -2
y = 1/2 x - 2 Now use substitution
7x + 2( 1/2x -2) = 8
7x + 1x - 4 = 8
8x -4 = 8
+4 +4
8x = 12
x = 12/8 and simplifies to 3/2
the value of x is 3/2 so plot it into one of the equations and solve for y.
7(3/2) + 2y = 8
21/2 + 2y = 8
-21/2 -21/2
2y = -5/2
y = -5/4
1. F(x) = (x-1)2 + 5
What is Transformation for this function
Answer: f(x)= 2x+3
Step-by-step explanation: f(x)=(x-1)2+5
2x-2+5
F(x)=2x+3
Which best explains why the two ratios below are in a proportional relationship?
2 to 3
8:12
A
because 2 times 4 is 8 and 3 times 4 is 12
B
because 8 minus 2 is 6 and 6 times 2 is 12
С
because 2 times 2 is 4 and 8 plus 4 is 12
D
because 8 minus 2 is 6 and 12 minus 3 is 9
A line has a slope of 9 and passes through the point (1,5). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y= 9x -4
Step-by-step explanation:
Please see attached picture for full solution.
The integers here are 9 and -4.
There isnt a need to use fractions in this case and hence I did not write the integers into a fraction (e.g. -4 into [tex] \frac{ - 4}{1} [/tex]) since the question requires them to be in the simplest form.
A manufacturer of widgets finds that the production cost, What is the selling price per widget as a function of the
C, in dollars per unit is a function of the number of number of widgets produced, and what should the
widgets produced. The selling price, S, of each widget in selling price be if 15 widgets are produced?
dollars is a function of the production cost per unit
C(x) = -0.1x2 + 100
O C(S(x)) = -0.196x2 + 100, $108.64
S(C) = 1.40
O C(S(x) = -0.196x2 + 100; $55.90
O S(C(x)) = -0.14x2 + 140; $144.41
O S(C(x)) = -0.14x2 + 140, $108.50
Answer:
S(C(x)) = –0.14x2 + 140; $108.50
Step-by-step explanation:
did the assignment
Answer:
DS(C(x)) = -0.14x2 + 140, $108.50
A bird flies from the bottom of a canyon that is 51 3/10 feet below sea level to a nest that is 737 1/10 feet above sea level.
Answer:
The bird would have to fly up 685.8 feet up.
Step-by-step explanation
If we are talking about how much the bird wants to fly up to the nest, then it would be 685.8 ft up.
first,
you take the fractions which are (-51 3/10) and (737 1/10)
Then we make them decimals to be easier (on my pov) Then we have
-51.3 and +737.1
Next we add 737.1+(-51.3)
which equals 685.8 feet.
Solve 6x+7=k solve for x
Answer:
[tex]\Large \boxed{x= \frac{k-7}{6} }[/tex]
Step-by-step explanation:
[tex]6x+7=k[/tex]
Subtracting 7 from both sides.
[tex]6x=k-7[/tex]
Dividing both sides by 6.
[tex]\displaystyle x= \frac{k-7}{6}[/tex]
What shape is produced when slicing a right rectangular prism perpendicular to
the base?
Answer:
rectangle
Step-by-step explanation:
If the slice is perpendicular to the base, it can intersect at most two lateral faces and the parallel base. Hence the shape produced will be a rectangle.
Please help with this!
Answer: see attachment
Step-by-step explanation:
An $80.00 coat is marked down 20%. It does not sell, so the shop owner marks it down an additional 15%. What is the new price of the coat in dollars?
Answer:
$54.40
Step-by-step explanation:
First, find the new price after the 20% markdown:
80(0.8)
= 64
Then, find the price with the 15% markdown:
64(0.85)
= 54.4
So, the new price of the coat is $54.40
Solve: V=nr^2h ; for r.
Answer:
[tex]r=\sqrt{\frac{V}{nh} }[/tex]
Step-by-step explanation:
[tex]V=nr^{2}h\\\frac{V}{nh}=\frac{nr^{2}h }{nh}\\\frac{V}{nh}=r^{2}\\\sqrt{\frac{V}{nh} }=\sqrt{r^{2} }\\r=\sqrt{\frac{V}{nh} }[/tex]
If y represents a number, write an expression that represents the sum of y and a number one greater than y
Answer:
2y+1=0
Step-by-step explanation:
a number one greater than y is y+1
so sum of y and y+1= 2y+1
Answer:
2y+1=0
Step-by-step explanation:
a number one greater than y is y+1
so sum of y and y+1=2y+1
hope its helpful
Stella rewrites −212+3.7 as 3.7−212. Which property did she use? A. Additive Identity Property B. Additive Inverse Property C. Commutative Property D. Distributive Property
Answer:
Option C.
Step-by-step explanation:
It is given that Stella rewrites −212+3.7 as 3.7−212.
We need to find which property did she use.
According to commutative property of addition,
[tex]A+B=B+A[/tex]
Where, A and B are any real values.
In the given expression −212+3.7, A=-212 and B=3.7.
Using commutative property of addition, we get
[tex](-212)+3.7=3.7+(-212)[/tex]
[tex](-212)+3.7=3.7-212[/tex]
So, she used commutative property.
Therefore, the correct option is C.
Solve for w. |w-3|+8=24 one of the answers i know is 19 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". PLZ HELP
Answer:
w = 19 or w = -13
Step-by-step explanation:
Solve for w over the real numbers:
abs(w - 3) + 8 = 24
Hint: | Isolate terms with w to the left hand side.
Subtract 8 from both sides:
abs(w - 3) = 16
Hint: | Eliminate the absolute value.
Split the equation into two possible cases:
w - 3 = 16 or w - 3 = -16
Hint: | Look at the first equation: Solve for w.
Add 3 to both sides:
w = 19 or w - 3 = -16
Hint: | Look at the second equation: Solve for w.
Add 3 to both sides:
Answer: w = 19 or w = -13
Mrs. Jensen bought jeans on sale online. The total cost, c, in dollars of j pairs of jeans can be found by using the function below. c=15j+4.50 If Mrs. Jensen spent a total of $49.50 on the jeans, how many pairs did she buy? a j=747 b j=755 c j=2 d j=3
∠A and \angle B∠B are vertical angles. If m\angle A=(3x-30)^{\circ}∠A=(3x−30) ∘ and m\angle B=(2x-9)^{\circ}∠B=(2x−9) ∘ , then find the value of x.
Answer:
x = 21
Step-by-step explanation:
Vertical angles are congruent, this
3x - 30 = 2x - 9 ( subtract 2x from both sides )
x - 30 = - 9 ( add 30 to both sides )
x = 21
please help:
The Atlantic Ocean covers about 3.2 x 10' square miles. The
Pacific Ocean covers about 6.4 X 10' square miles.
About how much area does the Atlantic Ocean and Pacific
Ocean cover?
OA) 3.2 x 10' square miles
OB) 9.6 X 10' square miles
OC) 3.2 x 1024 square miles
OD) 9.6 x 100 square miles
Answer: the answer is B
Step-by-step explanation:
3.2•10= 32
6.4•10=64
32+64= 96
9.6•10=96
Hope this helps
A coach wants to buy a soccer jersey for $25.99 and socks for &6.49 the prices include tax if he gives the cashier two $20 bills how much change should the coach expect?
Answer:
I think it might be $7.52
Find an angle between 0° and 360° that is coterminal with –150°.
Answer:
210 degrees
Step-by-step explanation:
-150 + 360 = 210
The angle between 0° and 360° is 210°
What is angle?In plane geometry a figure is formed by "two ray or lines and that shares same point is called an angle".
What is co terminal angle?Co terminal are angles in "standard position (angles with initial side along the positive x-axis) they have common terminal side".
According to the question,
The co terminal angle is 150°. The plane is formed by angle between 0° and 360°. In order to find angle is 150° + 360° = 210°.
Hence, the angle between 0° and 360° is 210°.
Learn more about angle here
https://brainly.com/question/16043115
#SPJ2
Mya buys 4 pounds of turkey and 2 pounds of ham.she pays a total of $30,and the turkey cost $1.50 less than the ham.what would be the combined cost of 1 pound of ham and 1 pound of turkey?
Answer:$10.50
Step-by-step explanation:
Let t = cost per pound of turkey
Let h = cost per pound of ham
4t + 2h = 30
t = h - 1.5
substitute h-1.5 in place of t in 1st equation
4(h-1.5) + 2h = 30
4h - 6 + 2h = 30
6h - 6 = 30
6h = 36
h = 6
t = h-1.5 = 4.5
1 pound of turkey costs $4.50
1 pound of ham costs $6.00
----------
cost of 1 pound each $10.50
how far will you travel in 4 seconds flying at a rate of 132 m/s?
Answer:
528 m
Step-by-step explanation:
Speed = Distance / Time
= Distance = Speed × Time
= 4 × 132
= 528 m
Answer:132×4=528
Step-by-step explanation:
For every second add another 132, as it's units are metres per second
someone help me please
Answer:
[tex]\dfrac{-20d^3t^2}{v^5}[/tex]
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
__
[tex](4d^2t^5v^{-4})(-5dt^{-3}v^{-1})=(4)(-5)d^{(2+1)}t^{(5-3)}v^{(-4-1)}\\\\=\boxed{-20d^3t^2v^{-5}=\dfrac{-20d^3t^2}{v^5}}[/tex]
The length of an alligator on a zoo is 14 5/8 feet the everglades national park lists the longest alligator in Florida at 17 5/12 feet what is the differences in their lengths
Answer:
2 19/24 feet
Step-by-step explanation:
14 5/8 = 14 15/24
17 5/12 = 17 10/24 ==> 16 34/24
16 - 14 = 2
34/24 - 15/24 = 19/24
Answer = 2 19/24 feet
Hope this helps!
-The Business Man
If m = 8, how many solutions are there to the expression 7m?
Answer:
7m and m = 8
7(8) = 56 one solution and that solution is 56
Step-by-step explanation:
Answer:
Hey there!
There is only one solution.
7(8)=56. It cannot be anything else.
Let me know if this helps :)
If B is the midpoint of line segment AC, AB=20, and BC=4x-4, find x.
Answer:
x = 6
Step-by-step explanation:
B is the midpoint of AC. So, the length of AB equals length of BC
BC = AB
4x - 4 = 20 {add 4 to both sides}
4x -4 + 4 = 20 + 4
4x = 24 { divide both sides by 4}
4x /4 = 24/4
x = 6
Use the figure to the right to find the value of PT. T is the midpoint of PO.
PT = 4x + 7 and TQ = 8x - 5
PT=
(Simplify your answer.)
Answer:
PT=19
Step-by-step explanation:
It is given that, T is the midpoint of PQ. If T is mid point, then it will bisect the line segment i.e.
PT=TQ
4x + 7=8x - 5
Subtracting 7 both sides
4x + 7-7=8x - 5-7
4x=8x-12
Subtracting 8x both sides
4x-8x=8x-12-8x
-4x=-12
4x=12
x=3
The value of x is 3.
Now,
PT = 4x + 7
= 4(3) + 7
=12+7
=19
Therefore, the length of PT is 19.
the volume of a eraser is 9.6cm³. if its height is 0.8cm find the area of its base
Answer:
the area of its base=12 cm²
Step-by-step explanation:
volume=base*height
9.6=b*0.8
base=9.6/0.8=12 cm²
According to Teo's bread recipe, he should bake the bread at 190°C for 30 minutes. His oven measures temperature in °F. To what temperature in °F should he set his oven?
Answer:
374 °F
Step-by-step explanation:
Data obtained from the question include the following:
Temperature (°C) = 190 °C
Temperature (°F) =?
Recall:
The conversion scale of temperature from °F to °C is given by the following equation:
C = 5/9(F – 32)
Next, we shall make F the subject of the formula. This can be obtained as follow:
C = 5/9(F – 32)
Cross multiply
5(F – 32) = 9C
Divide both side by 5
F – 32 = 9C/5
Rearrange
F = 9C/5 + 32
With the above formula, we can convert 190 °C to °F as follow:
Temperature (°C) = 190 °C
Temperature (°F) =?
F = 9C/5 + 32
F = 9 × 190/5 + 32
F = 1710/5 + 32
F = 342 + 32
F = 374 °F
Therefore, Teo will set the oven to 374 °F
Which number line best shows how to solve −10 − (−8)?
Answer:
A number line
Step-by-step explanation: