Answer:
The number is -6
The second operation is -60
Step-by-step explanation:
Let the number be x.
Solving (a): The value of x
Operations 1:
Multiply by 3: 3x
Add 40: 3x + 40
Operations 2:
Add 17: x + 17
Multiply by 2: (x + 17) * 2
To find x, equate both operations.
[tex]3x + 40 = (x + 17) *2[/tex]
[tex]3x + 40 = 2x + 34[/tex]
Collect like terms
[tex]3x - 2x = 34 - 40[/tex]
[tex]x = -6[/tex]
Solving (b):
Operations:
Subtract 9: [tex]x - 9[/tex]
Multiply by 4: [tex](x - 9) * 4[/tex]
This gives:
[tex](x - 9) * 4 = (-6 - 9) * 4[/tex]
[tex](x - 9) * 4 = -15 * 4[/tex]
[tex](x - 9) * 4 = -60[/tex]
The diameter of a circle is 55 inches.
Find the length of its radius.
Answer:
27.5
Step-by-step explanation:
Radius is half the diameter of a circle so just divide 55 by 2.
Answer:
27.5
Step-by-step explanation:
55/2=27.5
Bismuth-210 has a half-life of 5 days. Find
the amount of Bismuth-210 left from a
100-gram sample after 5 weeks?
Answer:
0.78125g
Step-by-step explanation:
Since there are 35 days in 5 weeks, 7 half-lives of Bismuth-210 will take place. To solve for that, you can divide 100g by 2, 7 times or simply: [tex]\frac{100}{2^{7}}[/tex]
[tex]\frac{100}{2} =50\\\frac{50}{2} =25\\\frac{25}{2} =12.5\\\frac{12.5}{2} =6.25\\\frac{6.25}{2} =3.125\\\frac{3.125}{2} =1.5625\\\frac{1.5625}{2} =0.78125[/tex]
Raul has a circular koi pond in a 30-foot square patio. Find the area of the patio that is not part of the pond to the nearest hundredth. Show your work.
Answer:
193.14 ft^2
Step-by-step explanation:
It’s question 2! Please help! An explanation would be amazing.
Answer:
n = 0
Step-by-step explanation:
n^2-8n+16=n^2+8n+16
16n=0
==> n = 0
What is the slope of the line that is perpendicular to
the equation y = -1/3x - 10?
Answer:
3/1=3
slope is 3
Step-by-step explanation:
Perpendicular lines have slopes that are the opposite of the reciprocal of each other.
please help me now this is due today
Answer:
-24+13x
Step-by-step explanation:
(07.05 MC)
Which of these is a simplified form of the equation 9y + 5 = 7 + 3y + 2y? (1 point)
9y = 7
14y = 12
5y = 12
4y = 2
Answer:
4y = 2
Step-by-step explanation:
9y + 5 = 7 + 3y + 2y
9y-2y-3y=7-5
4y=2
Answer:
4y=2 is your answer
Step-by-step explanation:
9y + 5 = 7 + 3y + 2y
9y+5=7+5y
maintaining common form in each side
9y-5y=7-5
4y=2
ambiente apent 5/8 of har money and sabedoria The rest.if she sprnt 45$,how much money did she have at first?
what is the area of this square (look at the picture)
Answer:
484
Step-by-step explanation:
22 times 22
Evaluate when
a =3 b= 4.5 and h = 6
Answer:
For Example: Evaluate a2b for a = –2, b = 3, c = –4, and d = 4.
Step-by-step explanation:
To find my answer, I just plug in the given values, being careful to use parentheses, particularly around the "minus" signs. Especially when I'm just starting out, drawing the parentheses first may be helpful:
a2 b
( )2 ( )
(–2)2 (3)
(4)(3)
12
Note how using parentheses helped me keep track of the "minus" sign on the value of a. This was important, because I might otherwise have squared only the 2, ending up with –4, which would have been wrong.
By the way, it turned out that we didn't need the values for the variables c and d. When you're given a big set of expressions to evaluate, you should expect that there will often be one or another of the variables that won't be included in any particular exercise in the set.
Evaluate a – cd for a = –2, b = 3, c = –4, and d = 4.
In this exercise, they've given me extra information. There is no b in the expression they want me to evaluate, so I can ignore this value in my working:
(–2) – (–4)(4)
–2 – (–16)
–2 + 16
16 – 2
14
please hurry! I need all of these answers really soon it's due
a dealer made a profit of 25% by selling a car for a 1000 naira find the cost price of the car
Given:
A dealer made a profit of 25% by selling a car for a 1000 naira.
To find:
The cost price of the car.
Solution:
Let x be the cost price of the car.
A dealer made a profit of 25% by selling a car. So, the selling price of the car is
[tex]S.P.=x+\dfrac{25}{100}x[/tex]
[tex]S.P.=x+0.25x[/tex]
[tex]S.P.=1.25x[/tex]
It is given that the selling price of the car is 1000. So,
[tex]1.25x=1000[/tex]
[tex]x=\dfrac{1000}{1.25}[/tex]
[tex]x=800[/tex]
Therefore, the cost price of the car is 800.
10
pis
Choose all that apply.
What is true about alternate exterior angles?
They sum to 180 degrees.
The are congruent.
They sum to 90 degrees.
They are non-adjacent.
They are adjacent.
9514 1404 393
Answer:
The are congruent.They are non-adjacent.Step-by-step explanation:
Where a transversal crosses parallel lines, the angles outside the parallel lines are called exterior angles. When they are on opposite sides of the transversal, they are alternate exterior angles.
Alternate exterior angles are congruent.
The share a side (the transversal, but not a vertex. So they are non-adjacent.
_____
Additional comment
In this geometry, corresponding angles are congruent. Of course, vertical angles are always congruent. Each alternate exterior angle is a vertical angle with one that is corresponding to the other alternate exterior angle.
please help meeeeeee
Find the missing measure in the triangle below
Answer:
34 degrees
Step-by-step explanation:
A triangle equals 180 degrees
180 - 90 = 90
90 - 56 = 34
Therefore it's 34 degrees
Which statement best describes the expression fraction 1 over 2 x (14 − 6) x 6 + 4?
Find half the product of 6 and 4, then subtract the difference between 14 and 6.
Find half the difference of 14 and 6, multiply by 6, then add 4.
Find the product of 14 and 6, add the product of 6 and 4, then divide by 2.
Find the product of 6 and 4, subtract the difference between 14 and 6, then multiply by fraction 1 over 2.
i really need help i don't get it
Answer:
The correct answer is: Find half the difference of 14 and 6, multiply by 6, then add 4.
Step-by-step explanation:
By Hierarchy Rules of Operators, we must follow these steps:
(i) Subtract 6 from 14.
[tex]\frac{1}{2}\times 8\times 6 + 4[/tex]
(ii) Multiply the result in (i) by [tex]\frac{1}{2}[/tex] and 6.
[tex]24+4[/tex]
(ii) Add 4 to the result in (ii).
[tex]28[/tex]
Hence, the correct answer is: Find half the difference of 14 and 6, multiply by 6, then add 4.
1/3 x 4/5 = help me out here
Answer:
kay it's 4/15
Step-by-step explanation:
this friggen took me forever
I made it to a common denominator 15
5/15*12/15
then I kept simplifying it till I got to 4/15
k bye
Tina cut open a cube-shaped microwave box to see the net. How many
square faces does this box have?
HELP ME PLS ASAP PLS PLS
Answer:
6 faces.
Step-by-step explanation:
A cube has 6 square faces. 2 for the up and down, 2 for the front and backk and 2 on the left and right.
Not sure how to answer this pls help
Answer:
f(0) is approximately equal to 7.07
Step-by-step explanation:
All you need to do here is substitute a zero wherever you see an x in the equation, giving us:
[tex]f(0) = 2(0)^2 + 5\sqrt{0 + 2}\\f(0) = 5\sqrt{2} \\f(0) \approx 5 \times 1.414\\f(0) \approx 7.07[/tex]
Solve the equation x = 5/3 (pie) (r^3) for r.
Answer and Step-by-step explanation:
To solve for r, we need to get everything away from r. We can start off by moving five thirds, and pi.
[tex]x = \frac{5}{3} \pi r^{3}[/tex]
Multiply each side by [tex]\frac{3}{5}[/tex], then divide by [tex]\pi[/tex] (pi)
[tex]\frac{3x}{5\pi } = r^{3}[/tex]
Now, take the cubed root of both sides.
[tex]\sqrt[3]{\frac{3x}{5\pi } } = r[/tex]
^^ That is the answer.
#teamtrees #PAW (Plant And Water)
What is the slope of the line that passes through the points (-10, -8) and
(-8, -16)? Write your answer IN simplest form.
Answer:
gradient=change in y/change in x
=y2-y1/x2-x1
=-8-(-16)/-10-(-8)
=8/-2
=-4
Jack’s BBQ has a policy of adding a 16% tip if u have a party of 8 or more. Write an equation to represent the relationship between tip(t) and the bill(b). Then determine how much the tip would be if the bill is $145. (I need it as fast as possible, WILL GIVE BRAINLIST)
Answer:
B x 0.16 = T
If the bill is $ 145, the tip will be $ 23.2.
Step-by-step explanation:
Since Jack’s BBQ has a policy of adding a 16% tip if there is a party of 8 or more, to write an equation to represent the relationship between tip (t) and the bill (b), the following reasoning must be performed:
B x 0.16 = T
B is the value of the bill after consumption.
In turn, to determine how much the tip would be if the bill is $ 145, the following calculation must be performed:
145 x 0.16 = T
23.2 = T
Thus, if the bill is $ 145, the tip will be $ 23.2.
What does it mean to say that two groups are homogeneous?
Answer:
homogeneous Add to list Share. If a group of things are homogeneous, they're all the same or similar, like a room full of identically dressed Elvis impersonators.
Step-by-step explanation:
Write 0.41 in fraction simplest form
I learned that (1) _____ is a number written at the upper right of a certain number called (2) ______ . it indicates how many times the base is taken as a factor. I also learned the different laws of the exponent. I have known now that the product of x² * x⁴ is equal to x⁶
Answer:
(1) exponent, (2) base
Step-by-step explanation:
An exponent is a quantity that represents the power to which a given number is to be raised.
A base can be any whole number greater than 0.
3/5 + 1/4 = what is it
Simplify: - 4x 5x - 1 + 3-6x 3-6x
Answer:
−45−1+3−63−6
−46−1+3−63−6
−46+2−63−6
Solution:
−46−63−6+2
Step-by-step explanation:
I hope that this is what you are looking for
Have a nice day/night
What are the directional changes and numerical changes of the vertex of the graph of the equation y=x^2 when it changes the equation y=(x-3)^2 +5
Answer:
Step-by-step explanation:
subtracting 3 from x shifts the graph right 3 units.
adding the constant 5 shifts the graph up by 5 units.
Gabriel buys a plastic pencil case as shown. How much plastic is the case made from?
A 5000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $145,600?
Answer:
2,206
Step-by-step explanation: