The Answer is
A.(x+12)2 = -60
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The formula for (a + b)² = a² + 2ab + b²
The equation x² + 24x + 60 = 0 in the form (x + p)² = q is
(x + 12)² = 84
Option A is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
x² + 24x + 60 = 0
We can write this as,
x² + 2 x 12 x (x) + 60 = 0
The formula for (a + b)² = a² + 2ab + b²
Add 144 on both sides.
x² + 2 x 12 x (x) + 60 + 144 = 0 + 144
x² + 2 x 12 x (x) + 144 + 60 = 144
[ 12² = 144 ]
Subtract 60 on both sides.
x² + 2 x 12 x (x) + 144 = 144 - 60
x² + 2 x 12 x (x) + 12² = 84
(x + 12)² = 84
Thus,
The equation x² + 24x + 60 = 0 in the form (x + p)² = q is
(x + 12)² = 84
Option A is the correct answer.
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What are the terms in x - 53 - 4x - w + 6x + 8
Answer:
3x, -45, -w
Step-by-step explanation:
We want to simplify this expression to find which terms there are.
x - 53 - 4x - w + 6x + 8
We can group the x's, w's and constants.
(x - 4x + 6x) + (-53 + 8) + (-w)
3x - 45 - w
The terms are, 3x, -45, -w
Answer is 3x-w-45 how did I get the answer.
1. steps: x- 53 - 4x - w + 6x + 8
2. Steps: Group like terms x - 4x + 6x - w -53 + 8
3. Steps: Addsimilar elements: x - 4x + 6x = 3x
= 3x - w - 53 + 8
4. Steps: Add/Subtract the numbers: - 53 + 8 = -45
= 3x - w -45
That is your answer for this problem.
Fill in the blanks. To multiply a number by 0.01 move the decimal point ____ places to the _______. *
Answer:
To multiply a number by 0.01 move the decimal point 2 places to the left.
Step-by-step explanation:
for example, lets multiply 5 by 0.01
5 x 0.01=0.05
originally, 5 in decimal form is 5.0
when it is multiplied by 0.01, the decimal point moves first from 5.0 to 0.5, then 0.5 to 0.05
To multiply a number by 0.01 move the decimal point 2 places to the left.
What is a number system?A numeral system is a way of writing numbers; it's a way of mathematically notating a set of numbers by using a consistent set of digits or other symbols. In various numeral systems, the same set of symbols may represent various numbers.
For example, let's multiply 5 by 0.01
500 x 0.01 = 5
When the number 500 is multiplied by 0.01, the decimal point moves first from 500 to 5 means two places to the right.
Therefore, multiply a number by 0.01 and move the decimal point 2 places to the left.
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Problem #2
All together, Michael and his two friends have exactly $30 to spend on lunch. Hot dogs cost $3.50 and
drinks cost $1.50. If they each get two hot dogs, how many drinks can they buy?
3s algebraic expression in word form
Answer:
trice the number"s"
Step-by-step explanation:
is this wht u want ? like am i rght? if not pls delete my answer.
Answer:
Thrice a number
Three times the variable "s"
Step-by-step explanation:
Hope it helps!!!
Manu drives 50 miles each day. How many miles does he drive in five days.
Answer: Manu drives 250 miles in 5 days.
Step-by-step explanation: Manu drives 50 miles each day, and he does this in each 1 out of 5 days. 50 + 50 + 50 + 50 + 50 is 250.
Answer:
250
Step-by-step explanation:
50= 1 day
?= 5 days
multiply 50 by 5
50 by 5= 250
to make it easier multiply 5 by 5 which is 25 then add the zero from the 50 at the end to get 250
PLEASE HELP
David owns a food truck that sells tacos and burritos. He sells each taco for $4.50 and each burrito for $7.75. Yesterday David made a total of $519.25 in revenue from all taco and burrito sales and there were twice as many tacos sold as there were burritos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system. (Let statments and system of equations)
Answer:
Step-by-step explanation:
The systems of equation for the scenario given are :
7.75t9t7.75t + 9t = 519.25Cost per tacos = 4.50
Cost per burritos = 7.75
Total amount made = $519.25
Let :
Amount of burritos sold = t
Amount of tacos sold = 2t
Total amount made from burritos sale :
(Number of burritos sold × cost per burrito) = (t × 7.75) = 7.75t
Total amount made from tacos sale :
(Number of tacos sold × cost per tacos ) = (2t × 4.50) = 9t
Total amount made :
7.75t + 9t = 519.25
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The ordered pair D(0,-5) is translated 2 units left and 6 units up. Which of the following describes the translation using translation notation?
A. (x-2, y-6)
B. (x-6, y+2)
C. (x+6, y-2)
D. (x-2, y+6)
Answer:
Variant D
Step-by-step explanation:
Answer is x-2 and y+6
The translation using translation notation can be described as (x-2, y+6). The correct option is D.
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
The coordinates of a point are given as (x,y).
Now, the x-coordinate is on the horizontal axis, therefore, if the point is moving right it is going in the positive direction, while if the point is moving in the left direction it is going in the negative direction.
Similarly, the y-coordinate is on the vertical axis, therefore, if the point is moving upwards it is going in the positive direction, while if the point is moving in downwards its direction it is going in the negative direction.
Given that the coordinates are translated as 2 units left and 6 units up. Therefore, we can write,
(x,y) → (x-2, y+6)
Hence, the translation using translation notation can be described as
(x-2,y+6).
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If a gallon of milk costs $5.25 now and the price is
increasing 6% each year, how long before a gallon
of milk costs $12?
Answer: It will take approximately 21 years.
Step-by-step explanation:
6 percent of 5.25 is 0.315 (5.25 x 0.06 = 0.315)
Then you subtract 5.25 from 12 to calculate the number of years. (12 - 5.25 = 6.75)
Divide 0.315 from 6.75 (6.75 / 0.315 ≈ 21.4)
Pls help...no idea :/
I would really appreciate it
Answer:
12
Step-by-step explanation:
please help me answer this math problem
Answer:
The answer is AAS.
Step-by-step explanation:
Since you have 2 angles that are the same and 1 side which are the same or congruent.
A = E
and C=C they are vertical angles so they are the same
And the AB and ED side are also same.
Zadie makes a holiday decoration from a styrofoam cone with a height of 24 inches and
a diameter of 10 inches. What is the approximate volume of Zadies decoration?
0628
1884
125,6
02512
Answer:
Step-by-step explanation:
PLEASE HELP ME WILL. MARK BRAINLIEST!
Answer: C: 0.4
Step-by-step explanation:
1/5 is 0.2 and double that is 0.4 since there are 2 half hours in an hour :)
Solve for n just some homework
Answer:
4
Step-by-step explanation:
Find the difference:
Plz help giving brainly and thanks!
Answer: 9/20
Step-by-step explanation:
[tex]2 \frac{1}{4}=2.25\\\\1 \frac{4}{5}=1.8\\\\2.25-1.8=0.45=\frac{9}{20}[/tex]
What is the answer to this math problem
Answer:
14√14
decimal: 52.38 (52.38320....)
Why does the expression i to the power 4n+2 is always equal to -1
Answer:
See Below.
Step-by-step explanation:
We are given:
[tex]i^{4n+2}[/tex]
Using exponent properties:
[tex]=i^{4n}\cdot i^2[/tex]
Rewriting:
[tex]=(i^4)^n\cdot i^2[/tex]
Since i⁴ = 1 and i² = -1:
[tex]=(1)^n\cdot -1[/tex]
1 to any power is still 1:
[tex]=1\cdot -1 = -1[/tex]
write a simplified expression for the volume of a cube with side length x+3
Thomas scored 9 points less than Jason in the basketball game. Kevin scored twice as many points as Thomas. If Kevin scored 10 points, how many points did Jason score? \
Answer:
Jason has 14 points
Step-by-step explanation:
Kevin=10 points/2x thomas points
5x2=10 Correct
Thomas= 5 points
Thomas has 9 less points than Jason \
5+9=14
Jason= 14
I need help with this can you help me
Answer: 2.5 in, 7.5 in, and 5 in.
Step-by-step explanation:
you would divide each side by 2
5 inches to 2.5
15 inches to 7.5
and 10 inches to 5
Point L (5, -4) is reflected across the line y = -x using the transformation rule (x, y) --> (-y, -x). What is the ordered pair of the Image L''? Please write your response as (x, y),
Answer:
L (4,-5)
Step-by-step explanation:
The transformation rule is (x,y) → (-y,-x) . This means that you are going to exchange your x and y and switch their signs.
1. Exchange - First you switch your points. (5,-4) → (-4,5)
2. Switch signs- -4 converts to 4 and 5 converts to -5
So your answer is L' (4,-5)
Please help thanks
Answer:
X= 62°
Step-by-step explanation:
Remember a straight line is 180°. If we were to try to find x, we would have to subtract 180 by 118. If we do that then we get 62°. And I think there corresponding angles.
BTW, I'M VERY SORRY IF MY ANSWER IS WRONG!! I HAVEN'T DONE THIS IN A YEAR!!! Use this as an example, or sum!!! Good luck.
how many terms are in this expression 5b+26t-72
Answer:
3 terms
Step-by-step explanation:
5b+26t-72
Since none of the terms are like terms, we cannot combine them
There are 3 separate terms, 5b, 26t, 72
A company ships packages through the postal service. One week, the cost of shipping one
package was $6.70, and the company also purchased a number of stamps. This can be
modeled by the expression 6.70 + 0.50x. According to the model, what is the meaning of
0.50?
Answer:
Step-by-step explanation:
For this problem, it says that the company not only shipped packages, but also bought a number of stamps. From the equation 6.70+0.50x, it's fairly easy to say that 6.70 is the packages,
What's not so easy is figuring out whether or not 0.50 is the stamps, or x is. However, there's an easy way to figure it out!
From this one, we would have to use "common sense" (not my words, someone elses). Using "common sense", we have to think, can someone buy 0.50 of a stamp?
Technically yes... But would someone buy 0.5 of a stamp? Not really.
So we can safetly assume that x is the "stamp", and 0.50 is the cost of the stamp.
Hope this helps!
Evaluate the following algebraic expression for 2x - 2
Answer:
2(x-1)
Step-by-step explanation:
1. uncountable noun. You can use stuff to refer to things such as a substance, a collection of things, events, or ideas, or the contents of something in a general way without mentioning the thing itself by name. [informal] I'd like some coffee, and I don't object to the powdered stuff if it's all you've got.
Given that a x 70 = b work out the value of
3b/a
Your final line should say, 3b/a = ...
Answer:
[tex]\frac{3b}{a} = 210[/tex]
Step-by-step explanation:
Explanation:-
Given that a× 70 = b
Dividing 'a' into both sides, we get
⇒ [tex]\frac{b}{a} = 70[/tex]
we have to find the value [tex]\frac{3b}{a}[/tex]
[tex]\frac{3b}{a} = 3 X \frac{b}{a}[/tex]
= 3× 70
= 210
PLEASE HELPPPPPPPPPPPPPPPPPPPP
If the difference of two number is 3 and the product is 70 then find the sum of the square of the numbers
Answer:
149
Step-by-step explanation:
Just by guessing you can see that they are 7 and 10
so 100 + 49 = 149
EASY BUT I NEED IT NOW
This recipe makes 15 cupcakes.
Deepak only wants to make 6 cupcakes.
How much of each ingredient does he need?
Recipe: Makes 15 cupcakes
10 ounces butter
8 ounces sugar
12 ounces flour
5 eggs
do i times these by 6 ??
Answer:
Step-by-step explanation:
15/ 6 = 2.5
10 / 2.5 = 3 ounces of butter
8 / 2.5 = 3.2 ounces sugar
12 / 2.5 = 4.8 ounces flour
5 / 2.5 = 2 eggs
Marissa dug three fifths of a hole in one tenth of an hour. Find the rate
in holes per hour
Answer:
Step-by-step explanation:
This might be easier to do in decimals. Let's try it.
3/5 = 0.6
1/10 = 0.1
rate = holes / hours
rate = 0.6/0.1
rate = 6 holes per hour
Try it with fractions.
rate = [tex]\frac{\frac{3}{5} }{\frac{1}{10} }[/tex] Invert and multiply the 1/10
rate = [tex]\frac{3}{5} *\frac{10}{1}[/tex] = 30/5 = 6
It's the same answer. Pick the method that you feel most comfortable with.
Can someone PLEASE help with this one question!?
Answer:
x^2= 25
x = 5
pls mark as brainliest
A recipe for making 3 dozen muffins requires 1 1/2 cups of flour. How many cups of flour are required to make 5 dozen of the same muffin?
Answer:
2 1/2 cups
Step-by-step explanation:
3 dozen muffins = 1 1/2 cups
divided by 3, you get 1 dozen muffins = 1/2 cup of flour
multiply by 5 you get 2 1/2 cups of flour