Write an equation, and solve
An electrician has a 20-ft wire. He needs to cut the wire so that one piece is 4 ft shorter than the other. What will be the length of each piece?
Answer:
12, 8
Step-by-step explanation:
So we have the following things we need to check for:
1. Both wires add up to 20 ft.
2. One wire is 4 ft longer than the other.
In order to do this we can create the following two equations (I'll call the wires a and b)
[tex]a + b = 20\\a = b - 4[/tex]
Next we substitute equation two into equation one and solve for b.
[tex]a + b = 20\\ (b - 4) + b = 20\\ 2b - 4 = 20\\2b - 4 + 4 = 20 + 4\\2b = 24[/tex]
[tex]\frac{2b}{2} = \frac{24}{2}\\b = 12[/tex]
And lastly we solve equation 2 using the new value of b.
[tex]a = b - 4 = 12 - 4 = 8[/tex]
So the wires are 12 and 8 feet.
Find values for p and q so that x = 4 is the only solution to the equation.
px - 8 = 5x + 9
Answer:
Step-by-step explanation:
Given the equation px - 8 = 5x + 9, we can only find the value of p when x = 4.
To get p, we will substitute x = 4 into the expression as shown:
p(4)-8 = 5(4)+9
4p - 8 = 20+9
4p - 8 = 29
4p = 29+8
4p = 37
p = 37/4
p = 9 1/4
Hence the value of p so that x = 4 is the only solution is 9 1/4
Which expression is equivalent to 32−−√−3x2–√+38–√?
Answer:
8
Step-by-step explanation:
The indices question is not properly written. Find the correct expression in the attachment
[tex]-32^{\frac{3}{5} }[/tex] [tex]= (\sqrt[5]{-32})^3[/tex]
for [tex]\sqrt[5]{-32}[/tex]
we need a value to multiply 5 times that will give us -32;
[tex]\sqrt[5]{-32} = -2[/tex]
substitute the answer in the original expression
[tex]= (\sqrt[5]{-32})^3\\= 2^3[/tex]
Evaluate the resulting indices
[tex]2^3 = 8\\[/tex]
Hence the expression [tex]-32^{\frac{3}{5} }[/tex] is equivalent to 8
2 to the power of 46
is how many times as many as 2 to the power of 42,
Answer: 16
Step-by-step explanation:
Which of the following is equivalent to the complex number 10?
Choose 1 answer:
Answer:
complete your question bro cause I dont understand
Question 1
Correctly match the step for solving systems of equations with the correct answer choice.
1
Drag the boxes to match the answers
Step 1:
=
?
Graph the y-intercept (0,b) in each of the
systems
Step 2
?
After drawing both lines, find the
intersection of the two lines. This point(s)
is your solution
Turn each equation into slope-intercept
form
Step 3:
=
?
(y = mx + b)
Step 4:
?
Use the slope to create points which you
will connect in order to form the line of
each equation
Answer:
sorry but i need some points right now so just ignore this
Step-by-step explanation:
Answer:
uhhh whats this for?
Step-by-step explanation:
Complete the third step to solve the equation.
3 + 2x = -6x + 4
1. Isolate the variable term on one side: 3 + 8x = 4
2. Isolate the constant on the other side: 8x = 1
3. Solve for x: x =
Answer:
x=1/8
could you also please mark me as brainliest?
Answer:
1/8
Step-by-step explanation:
i just got it right on the test
Nina plays catcher on her softball team. She wants to design a better mitt to catch the ball. She is just beginning the design process. Which step should she do first?
Choose the correct answer.
build a prototype
test her prototype
tell her team what she learns
make conclusions about solutions
What is the decimal multiplier to increase by 1.7%?
Aylor bought 6 tickets to a movie. The price of each ticket was the same. After he bought the tickets, his account balance showed a change of −$68.04. What would have been the change to Taylor's account balance had he only bought 1 ticket to the movie? (5 points)
Answer:
-$11.34
Step-by-step explanation:
Cost of 6 tickets = $68.04
Aylor's account balance showed a change of −$68.04
Cost of 1 tickets = cost of 6 tickets / 6
= $68.04 / 6
= $11.34
change to Taylor's account balance had he only bought 1 ticket to the movie will be -$11.34
Find the vertex of the function given below
[tex]y = {x}^{2} - 6x + 1[/tex]
Answer:
3,-10...........................
Answer:
vertex = (3, - 8 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² - 6x + 1 ← is in standard form
with a = 1 and b = - 6 , thus
[tex]x_{vertex}[/tex] = - [tex]\frac{-6}{2}[/tex] = 3
Substitute x = 3 into the function for y
y = 3² - 6(3) + 1 = 9 - 18 + 1 = - 8
vertex = (3, - 8 )
ASPPPPPP!!!
Help
Select the graph of the function f(x) 1/2x^2. Then find the value of f (x) when x=-4
Calculate the total score for each competitor. Then, put the five competitors in order from first place to fifth place.
1. first Yuzuru Hanyu
2. second Denis Ten
3. third Javier Fernandez
4. fourth Patrick Chan
5. fifth Tatsuki Machida
Answer:
Yuzuru, Patrick, Denis, Javier, Tatsuki
I hope it helpedヽ(✿ﾟ▽ﾟ)ノ
m−4=2m what's the value of m
if 6+x=13, then find the value of 8x-31.
Answer:
The answer is 25.
Step-by-step explanation:
First, you solve 6+x=13. Minus 6 from each side. You get x=7.
Next, plug x into the equation 8x-31. You get 8(7)-31. Solve 56-31, which you then get 25.
which choice is equivalent to sqroot-125 PLEASE HELP
Answer:
C. [tex] 5i \sqrt{5} [/tex]
Step-by-step explanation:
[tex] \sqrt{ - 125} \\ \\ = \sqrt{ - 1 \times 125} \\ \\ = \sqrt{ - 1} \times \sqrt{125} \\ \\ = i \times 5 \sqrt{5} \\ \\ \huge \red{ \boxed{= 5i \sqrt{5} }}[/tex]
On friday taylor babysat for 4 hours and was paid $60. on saturday she babysat for 2 hours and was paid $30. what is the rate taylor charges to babysit
Answer:
15 dollars per hour
Step-by-step explanation:
She is constantly charging 15 per hour.
Answer:
She gets paid 15 dollars an hour.
Step-by-step explanation:
60 divided by 4 would be 15 and also 30 divided by 2 is 15
What value of x makes this equation true?
2x − 9 −2 = 3x + 3 + 6x
A. 3
B. -9
C. −1
D. −2
Answer: x=-2, or d
Step-by-step explanation: brainlest please
find the principal when the amount is Rs.3600 and interest is Rs.200
Step-by-step explanation:
Hey there!
Amount = Rs. 3600
Interest = Rs. 200
Principle = Amount - interest
= 3600 - 200
= 3400
Therefore, the principle is Rs. 3400.
Hope it helps..
Answer:
P=3400
Step-by-step explanation:
SI=A-P
200=3600-P
P=3400
If the measure of one interior angle of a regular polygon is 156° , how many sides does it have?
Answer:
The polygon has 15 sides
Step-by-step explanation:
Angles in a Regular Polygon
A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that in a regular polygon, each angle measures
[tex]\displaystyle \frac{180(n-2)}{n}[/tex]
The regular polygon's interior angle is 156°, thus
[tex]\displaystyle \frac{180(n-2)}{n}=156[/tex]
Multiply by n:
[tex]180(n-2)=156n[/tex]
Operate:
[tex]180n-360=156n[/tex]
Reducing:
[tex]24n=360[/tex]
Solving:
[tex]n=15[/tex]
The polygon has 15 sides
factorise 4xy²(x-1)(x+2)
Answer:
4x^3y^2+4x^2y^2- 8xy^2
Step-by-step explanation:
During a cat food sale, a pet store sells 220 cans of cat food. At the end of the
sale, the store has 80% of the original number of cans of cat food. How many
cans of cat food are left?
Answer:
44 cans
Step-by-step explanation:
To find 80%, just multiply 220 by 0.8
220 x 0.8 = 176.
Now, take 220 and subtract 176.
220-176 = 44
44 cans are left over. Hope this helps.
Kenny had a total of 140 minutes to read, do homework, and play video games.
He spent x minutes reading.
He spent 2(x+5) minutes doing homework
He spent 25 minutes playing video games
How many minutes did Kenny spend reading
Help fast Please
Answer: 35minutes
Step-by-step explanation:
Minutes spent reading = x
Minutes spent doing homework =2(x+5) = 2x + 10
Minutes spent playing video games = 25minutes
Total minutes used = 140 minutes
x + 2x + 10 + 25 = 140
3x + 35 = 140
3x = 140 - 35
3x = 105
x = 105/3
x = 35 minutes
In the diagram, m angle3=120^ and m angle12=80^. Which angle measures are correct? Check all that apply. m angle1=60^ m angle13=80^ m angle6=80^ m angle5=60^ m angle10=120^ ° m angle 14=100^
Answer:
There you go, this was actually fun to do!!
Step-by-step explanation:
Answer:
M<1=60
M<13=80
M<5=60
M<14=100
Step-by-step explanation:
Did the assignment
what is a 60% out of 100
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▹ Answer
60% of 100 is 60
▹ Step-by-Step Explanation
60% of 100:
- You can write this as a fraction or decimal. In this case, both of them will work just fine but we can go with fractions.
60% is written as 6/10 as a fraction or 0.6 as a decimal.
[tex]\frac{6}{10} * 100\\ =\frac{600}{10} \\= 60[/tex]
Hope this helps!
CloutAnswers ❁
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Answer:
60%out of 100 is 40%
Step-by-step explanation:
100-60
کی خا ر کیا - وکی
English please
Answer:Fank yew mate tea my yellow teeth
Step-by-step explanation:tea tea tea tea tea tea tea tea tea teateatea tea
Why do people eat green beans?
Answer:
to grow andeat healthy
Step-by-step explanation:
Carrie needs 4 1/2 cups of flour for a recipe. She can only find a 1/4 cup measuring cup. How many times will Carrie need to fill this measuring cup to have enough flour for the recipe?
Answer:
Carrie will need to fill the measuring cup 18 times to have enough flour for the recipe.
Step-by-step explanation:
There are four 1/4's in one cup and two 1/4's in a 1/2 cup. So 4 times 4 equals 16 and 2 times 1 is 2. Add those together and you get 18 times. Sorry if it was confusing.
2z + 4x + 9y -y + 3
Answer:
Step-by-step explanation:
2z+4x+9y-y+3
2z+4x+8y+3
=2z+4x+8y+3
ANSWER ASAP PLEASE !!!!!!!!!
Using the Distributive Property, find the product of the expression 7(22) and then simplify.
7(20) + 7(2) = 155
7(20) − 7(2) = 154
7(20) + 7(2) = 154
7(20 − 2) = 154
Answer: 7(20) + 7(2) = 154