Solve. 4(a + 2) = 14 – 2(3 – 2a)
Select one:
a. –2
b. –1
c. all real numbers
d. no solution
Answer:
C. All Real Numbers
Step-by-step explanation:
If you take any variable and do the math with that variable on both sides of the equation the answer is always balanced. So, the answer is C.
A customer at a raceway can drive around the track 54 times for $12. At this rate, how many times can the customer drive around the track for $8?
A park planner is designing a rectangular butterfly garden. The plan is for the garden to have an area of 1,917 square feet wide, how long is it?
The surface of a trampoline is in the shape of a regular hexagon? Find the measure of each interior angle of the trampoline?
The measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.
What is a polygon?A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
The sum of the interior angle of a polygon with an 'n' number of sides is given by the formula,
The sum of the interior angle = (n-2)×180°
As it is known that a hexagon has 6 number of sides, therefore, the sum of the interior angles can be written as,
The sum of the interior angle of Hexagon = (6-2)×180° = 720°
Now, the measure of each interior angle = (720°/6) = 120°
Hence, the measure of each of the interior angles of the regular hexagon using the Polygon Interior Angle Sum Theorem is 120°.
Learn more about Polygon:
brainly.com/question/10441863
#SPJ2
The perimeter of a triangle is 34 meter. The sides measure 16 meters, 8 meaters, and x meters. What is the value of x?
What is an equivalent ratio for 2 gallons and 3 quarts
Determine the equivalent ratio for 2 gallons and 3 quarts
The equivalent ratio for 2 gallons and 3 quarts is 8 : 3
convert gallon to quarts
1 gallon = 4 quarts
2 gallons = 4 quarts × 2
= 8 quarts
So,
2 gallons = 8 quarts
2 gallons : 3 quarts
= 8 quarts : 3 quarts
= 8 : 3
Therefore, the equivalent ratio for 2 gallons and 3 quarts is 8 : 3
Read more:
https://brainly.com/question/24425126
7.2 x 10 to the 6th power
Which statements about opposites are true? 39 POINTS!
Select each correct answer. MORE THAN ONE ANSWER!
The opposite of a number is 1 divided by that number.
The opposite of the opposite of a number is the number itself.
The opposite of a number is always a negative number.
A non-zero number and its opposite are located on opposite sides of zero on a number line.
Answer:
Step-by-step explanation:
the last won
how do you divide 762÷4
Classify the polygon by its number of sides. Does the polygon appear to be regular or not regular?
A.
hexagon, not regular
B.
hexagon, regular
C.
octagon, not regular
D.
octagon, regular
find the product of these numbers: 367 614
412 divided by 5 using compatible numbers
what is the meaning of distributive property expression
which 2 consecutive whole # does the square root of 55 lie between? Explain how to determined the 2 whole #
If the sphere shown above has a radius of 6 units, then what is the approximate volume of the sphere? A. 1,130.4 cubic units B. 452.16 cubic units C. 904.32 cubic units D. 1,071.79 cubic units
Answer:
yo answer is 288
Step-by-step explanation:
Write a unit rate for the situation
270 miles in 6 hours
A unit rate for the situation is 45 miles per hour.
Given that, 270 miles in 6 hours.
What is the unit rate?Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.
Now, unit rate = Number of miles/Number of hours
= 270/6
= 45 miles per hour
Therefore, a unit rate for the situation is 45 miles per hour.
To learn more about the unit rate visit:
https://brainly.com/question/11258929.
#SPJ2
a team of 4 people participates in a 400 yard relay race. Each team member runs the same distance. The team completes the race in a total of 53.2 seconds. What is the average running time for each person.
y=2x+0.5 I have to solve this using a weird table and then I have to graph it. How?
To solve the equation y=2x+0.5, prepare a table of (x, y) values. You plug in sample x values into the equation to obtain corresponding y values. Plot the (x, y) pairs in a graph and draw a line through the points.
Explanation:To solve the equation y=2x+0.5 and graph it, you need to create a table of (x,y) values.
First, choose some values for x, such as -2, -1, 0, 1, 2. For example, for x = -2, you would plug this value into the equation to find y. Doing the operation y=2*(-2)+0.5, we find that y = -4 + 0.5, so when x = -2, y = -4.5.
Repeat this process for each x value you chose. Once you have a table of values, you can plot these data pairs in a graph, marking the x and y coordinates for each pair. These points should line up and you can draw a line through them. This will be the graph for y = 2x + 0.5.
Learn more about Plotting Data Pairs here:https://brainly.com/question/14612588
#SPJ12
Aiden refills three token machines in an arcade. He puts twice the number in machine A as in machine B, and in machine C , he puts 3/4 of what he put in machine A. The total amount of tokens was 18324. How many tokens does each machine have.
Answer:
Machine A has 8144 tokens, machine B has 4072 tokens and machine C has 6108 tokens.
Step-by-step explanation:
Let call: X the number of tokens that machine A has, Y the number of tokens that machine B has and Z the number of tokens that machine C has.
From the sentence: He puts twice the number in machine A as in machine B, we can formulate the equation 1 as:
X = 2*Y
Solving for Y we can write the equation 1 as:
Y = X/2
From the sentence: in machine C , he puts 3/4 of what he put in machine A, we can formulate the equation 2 as:
Z = (3/4)*X
And from the sentence the total amount of tokens was 18324. we can formulate the equation 3 as:
X + Y + Z = 18324
So, if we replace the Y by X/2 and Z by (3/4)X on equation 3 and solve for X, we get:
X + Y + Z = 18324
X + X/2 + (3/4)X = 18324
(9/4)X=18324
X = 18324*(4/9)
X = 8144
Then, replacing this value on equation 1 and 2 to find Y and Z respectively, we get:
Y = X/2 = 8144/2 = 4071
Z = (3/4)*X = (3/4)*4071 = 6108
So, machine A has 8144 tokens, machine B has 4072 tokens and machine C has 6108 tokens.
Robin used 1/4 of a pound of butter to make a cake. Before she started, she had 7/8 of a pound of butter. How much butter did Robin have when she was done baking? Give your answer as a fraction of a pound.
When Robin has done baking, she had 15/32 pounds of butter.
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
Robin made a cake with 1/4 pound of butter. She had 7/8 of a pound of butter before she began.
We have to determine the amount of butter have when she was done baking.
As per the given situation, the required solution would be as:
We have to apply the subtraction operation to get it.
Robin used 1/4 pound of butter to make the cake, so she had 7/8 - 1/4 = 15/32 pound of butter left after she finished baking.
Therefore, when Robin has done baking, she had 15/32 pounds of butter.
Learn more about Subtraction operations here:
brainly.com/question/25834626
#SPJ2
What is 35 divided by 768
show how to make a ten to fund 12-4 write the number sentence
The legs of a right triangle are 10 centimeters and 24 centimeters long. What is the length of the hypotenuse?
22 centimeters
26 centimeters
30 centimeters
34 centimeters
Answer:
C
Step-by-step explanation:
Just took the quiz, can I have Brainliest?
Sam's recipe calls for 2 1/2 cups of flour. Pete's recipe calls for 2 1/4 times the amount of flour in Sam's recipe.
Which statement is true about the recipes?
A. Sam's recipe uses less flour than Pete's.
B. Pete's recipe uses exactly 2 1/4 cups of flour, so he uses less flour in his recipe than Sam does.
C. Pete uses less flour than Sam does. Sam's recipe uses 1/4 more flour than the amount in Pete's recipe.
DeShawn deposited $6500 into a bank account that earned 11.5% simple interest each year. He earned $4485 in interest before closing the account. If no money was deposited into or withdrawn from the account, for how many years was the money in the account?
6 hope this helps! :)
A banana bread recipe calls for 3/4 cup butter. One tablespoon equals 1/16 cup. How many tablespoons of butter are needed to make the banan bread?
Answer:
There are needed 12 tablespoons of butter to make the banana bread.Step-by-step explanation:
The recipe calls for 3/4 cups of butter.One tablespoon equals 1/16 cup.To solve this problem, we just need to use the rule of three. If one tablespoon equals 1/16 cups, how many tablespoons would be 3/4 cups:
[tex]x=\frac{3}{4} \ cups \ \frac{1 \ tablespoon}{\frac{1}{16} \ cups } \\x=\frac{3}{4} \times \frac{16}{1} \ tablespoon\\ x= 12 \ tablespoon[/tex]
Therefore, there are needed 12 tablespoons of butter to make the banana bread.
Suppose you are finding 296/4 using partial quotients. Is 50 or 70 a more reasonable partial quotient? Explain.
a car travels 345 miles in 7 hours (with a constant speed). how far can it travel in 9 hours (with the same speed)?
what is £1.95 x 6
thank you
What is 5/8 divided by 2 7/12?
5/8 divided by 27/12 gives fraction 15/62.
To divide 5/8 by 2 7/12, we can convert the mixed number 2 7/12 into an improper fraction.
First, multiply the whole number (2) by the denominator (12) and add the numerator (7) to obtain the new numerator.
= 2 x 12 + 7
= 24 + 7
= 31
The new numerator is 31.
The denominator remains the same, which is 12.
Now we have the division problem:
5/8 ÷ 31/12
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
5/8 ÷ 31/12 = 5/8 x 12/31
Now, multiply the numerators and denominators:
= (5 x 12) / (8 x 31)
= 60/248
The fraction 60/248 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4:
= 60/248
= 15/62
Therefore, 5/8 divided by 27/12 gives fraction 15/62.
Learn more about Fraction here:
brainly.com/question/10354322
#SPJ6