Algebraic expression for three times the sum of a and b, then the expression would be; 3(a+b).
What is simplification of an expression?Simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.
Algebraic expression for three times the sum of a and b, then the expression;
Now put a + b in brackets because your multiplying a and b three times;
= 3(a+b)
Algebraic expression for three times the sum of a and b, then the expression would be; 3(a+b).
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A store is having a 20% off sale. If the reduced
price of an item is $126.40, what was its original
price?
The original price was 142 dollar.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a' the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts.
We are given that store is having a 20% off sale. If the reduced
price of an item is $126.40,
We need to find the original price.
Therefore, we can write as ;
0.80x = 113.60
Now divide both sides by .80
x=142
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To find the original price of the item that was reduced by 20% to $126.40, divide the sale price by 0.80, which yields an original price of $158.00.
To determine the original price of an item that has been marked 20% off, we need to work backward from the sale price. The sale price represents 80% of the original price because 100% - 20% = 80%.
The question is provided with the reduced price which is $126.40. To find the original price, we divide the reduced price by 0.80.
Express 20% as a decimal: 0.20.Subtract this from 1 to find the percentage of the original price represented by the sale price: 1 - 0.20 = 0.80.Divide the sale price by this decimal: $126.40 / 0.80 = $158.00.Therefore, the original price of the item was $158.00.
What is the value of 53i 9?
–125i
–15i
15i
125i
Answer:
125i
Step-by-step explanation:
The simplification of the complex number (5i)³ is; -125i
How to simplify complex numbers?We are given the complex number; (5i)³
Expanding the given complex number gives;
(5i)³ = 5³ * i³
⇒ 125i * i²
From complex number multiplication, we know that i² = -1. Thus;
125i * i² = -125i
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What is the solution for x in the equation? 29+15x=-x-3
Answer:
x = -2
Step-by-step explanation:
Which two integers is
77 between?
Answer:
75 and 79
Step-by-step explanation:
An integer is any whole number. So you can use practically any combination of numbers as long as one is greater than 77 and one is lower than 77.
So an example would be, 79 and 75
kristin was charged $42.25 for parking. how many hours did she park her car at the garage? enter your answer as a mixed number in the simplest form. (unit rate is $6.5 per hour. i just need this answer right now!)
Answer: Kristin parked her car at the garage for 6 hours and 30 minutes.
Step-by-step explanation:
Hi, to solve this problem we have to analyze the information given:
Parking cost: $42.25 Rate per hour: $6.5 per hourWe have to divide the parking cost by the cost per hour to obtain the hours that the car was parked at the garage.
Mathematically speaking:
$42.25 / $6.5 = 6.5 hours = 6 hours and 30 minutesIn conclusion, Kristin parked her car at the garage for 6 hours and 30 minutes.
2.) Rafael works after school as a server at Mannion's Restaurant in Yonkers. A grumpy old lady leaves him
an 8% tip on a $54 restaurant bill!! How much is Rafael's tip? The lady gives Rafael $100 to cover the meal
and tip. What is her change?
Answer:
4.32 46
Step-by-step explanation:
ok im lazy and just googled it here
Answer:
Rafael gets $4,32 In tips. The old lady gets $41.68 in change.
Step-by-step explanation:
Step 1: To calculate the tip we must take into account that it is 8% of the total amount of the bill.
$54 * 8%/100% = $4,32
Rafael gets $4,32 In tips.
Step 2: Now we must calculate the change the old lady receives. For this, we must subtract from the $100 that she gives the part corresponding to the payment for food and the part corresponding to the tip.
$100 - $54 - $4,32 = $41,68
The old lady gets $41.68 in change.
Have a nice day!
what’s the answer to 6/7 divided by 3/11?
Answer:22/7
Step-by-step explanation:
Find three consecutive integers so that the
sum of the first two integers is 10 more than the third
integer.
Final answer:
The three consecutive integers that satisfy the condition are 11, 12, and 13. These numbers are such that the sum of the first two is equal to the third integer plus 10.
Explanation:
The question asks to find three consecutive integers where the sum of the first two is 10 more than the third. To solve this, let's call the smallest integer 'x'. Therefore, the next two consecutive integers will be 'x+1' and 'x+2'. The problem states that the sum of the first two integers is 10 more than the third, which gives us the equation: x + (x + 1) = (x + 2) + 10.
Simplifying this equation gives us 2x + 1 = x + 12. To find the value of 'x', we subtract 'x' from both sides of the equation, which gives us x + 1 = 12. Next, we subtract 1 from both sides to get x = 11. The three consecutive integers in question are therefore 11, 12, and 13.
Checking our work: the sum of the first two integers is 11 + 12 = 23. The third integer plus 10 is 13 + 10 = 23. Since both sums are equal, our solution is correct.
Final answer:
To find three consecutive integers, let the first integer be x, the second integer be x+1, and the third integer be x+2. Solve the equation x + (x+1) = (x+2) + 10 to find x, then determine the three consecutive integers.
Explanation:
To find three consecutive integers, we can let the first integer be x, the second integer be x+1, and the third integer be x+2. We are given that the sum of the first two integers is 10 more than the third integer. This can be written as:
x + (x+1) = (x+2) + 10
Combining like terms and solving the equation, we get:
2x + 1 = x + 12
x = 11
So the three consecutive integers are 11, 12, and 13.
Suppose you invest $5,000 at 9% interest,
Compounded annually, for 10 years. Determine the
future value of your investment, using the
Compound interest formula!
Answer:
$5000*(1,09)^10=~ $11836.82
Step-by-step explanation:
what is 271,403 to the nearest thousand
Answer:
300,000
Step-by-step explanation:
hope this helps
Answer:
271,000
Step-by-step explanation:
Rounding depends on the place value, if you are rounding to the nearest thousand, look at the number in the hundred place. Is that number lower or higher than 5? If lower, the place you are rounding to stays the same, and the places below it turn to zeros. If 5 or higher, round up, add 1 to the place you are rounding to, then turn the places below to zeros.
In this case, the hundreds place is a 4. Meaning you round down.
6,12,8,15,9,7 what it the interquartile range
Answer:
5 is the interquartile range
Step-by-step explanation:
•25th Percentile: 7
•50th Percentile: 8.5
•75th Percentile: 12
•Interquartile Range: 5
Jackie cut a 2-yard spool into 5 equal lengths of ribbon.
a. What is the length of each ribbon in yards? Draw a tape diagram to show your thinking.
b. What is the length of each ribbon in feet? Draw a tape diagram to show your thinking.
Answer:
a. [tex]\frac{2}{5}[/tex] yard
b. 1.2 feet
Step-by-step explanation:
a. Jackie cut a 2-yard spool into 5 equal length of ribbon.
We will divide 2 yard by 5 = 2 ÷ 5 = [tex]\frac{2}{5}[/tex] yard
5 units = 2 yard
1 unit = [tex]\frac{2}{5}[/tex] yard
Check : [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] = [tex]\frac{10}{5}[/tex] = 2
b. Length of each ribbon in feet
Since 1 yard = 3 feet
therefore, 2 yard = 3 × 2 = 6 feet
6 feet in to 5 equal part = 6 ÷ 5
= 1.2 feet
check : 1.2 + 1.2 + 1.2 + 1.2 + 1.2 = 6.0 feet
Each ribbon cut from a 2-yard spool into 5 equal parts will be 0.4 yards or 1.2 feet in length. Tape diagrams represent this division into equal parts.
Explanation:To determine the length of each ribbon when a 2-yard spool is cut into 5 equal lengths, you need to divide the total length by the number of pieces.
2 yards ÷ 5 = 0.4 yards for each piece.To represent this with a tape diagram, imagine a line equally divided into 5 sections, with each section representing 0.4 yards.
For the length in feet, since 1 yard equals 3 feet, we multiply the length in yards by 3.
To show this with a tape diagram, you can divide a line into 5 sections with each section representing 1.2 feet.
Compute: (1 2/5 +3.5÷1 1/4 )÷2 2/5 +3.4÷2 1 /8 −0.35
Answer:
Answer: 3
Step-by-step explanation:
Use BODMAS
Step 1: Open bracket (1 2/5 +3.5÷1 1/4 )
Convert mixed fractions into improper fractions
7/5 + 3.5 ÷ 5/4
Divide 3.5 by 5/4
7/5 + 2.8 = 4.2
Step 2: Carry out all divisions
Convert mixed fraction into improper fractions
4.2 ÷2 2/5 +3.4÷2 1 /8 −0.35
4.2 ÷ 12/5 + 3.4 ÷ 17/8 - 0.35
1.75 + 1.6 - 0.35
Step 3: Solve
1.75 + 1.6 - 0.35
3.35 - 0.35
Answer = 3
A law states that a freight truck cannot travel under a low overpass. There must be at least 3 feet of clearance. The sign on an overpass states that the overpass is 18 feet above the road's surface. Suppose the height of a truck is 13.6 feet. In inches, what is the ADDITIONAL amount of clearance between the truck and the overpass after the state law has been followed?
Answer:
D. 16.8
Step-by-step explanation:
It is right trust me!!!
Answer:
Additional amount of clearance between the truck and overpass is 16.8 inches.
Step-by-step explanation:
A law states that a a freight truck must have the clearance of at least 3 feet to travel under the a overpass.
Sign on an overpass states that the overpass is 18 feet above the road's surface.
Height of the truck is 13.6 feet.
As per rule height of overpass from the road must be height of the truck + clearance.
Additional amount of clearance between the truck and the overpass
= Distance between the road and the overpass - (height of the truck + clearance)
= 18 - (13.6 + 3)
= 18 - 16.6
= 1.4 feet
Since 1.4 feet = 12 inches
1.4 feet = 12×1.4 = 16.8 inches
Therefore, additional amount of clearance between the truck and overpass is 16.8 inches.
Find the sum of the first 6 terms in the following series. 6+(-18)+54+(-162)
Answer:
The sum of the first 6 terms in the given series is -1,092.
The sum of the first 6 terms in the given series is -1,092.
What is the method of the sum of series?The sum of the first n terms in an arithmetic collection is (n/2)⋅(a₁+aₙ). it's far called the mathematics series components.
Which collection has a sum?An infinite collection that has a sum is known as a convergent collection and the sum Sn is referred to as the partial sum of the collection.
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What is $18 of 90%
16.2
filler filler filler
5,500,000 in expanded form
Answer:
5,500,000 = (5 x 100000000) + (0 x 10000000) + (5 x 1000000) + (0 x 100000) + (0 x 10000) + (0 x 1000) + (0 x 100) + (0 x 10) + (0 x 1)
Step-by-step explanation:
The expanded form of 5,500,000 is (5 x 1000000) + (5 x 100000) + (0 x 10000) + (0 x 1000) + (0 x 100) + (0 x 10) + (0 x 1).
What is an expanded form?
The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousands,and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number.
Now the given number is,
5,500,000
Now each digit place value is given as,
5 = (5 x 1000000)
5 = (5 x 100000)
0 = (0 x 10000)
0 = (0 x 1000)
0 = (0 x 100)
0 = (0 x 10)
0 = (0 x 1)
Adding this together, we get
5,500,000 = (5 x 1000000) + (5 x 100000) + (0 x 10000) + (0 x 1000) + (0 x 100) + (0 x 10) + (0 x 1).
Hence, The expanded form of 5,500,000 is (5 x 1000000) + (5 x 100000) + (0 x 10000) + (0 x 1000) + (0 x 100) + (0 x 10) + (0 x 1).
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Solve (x - 2<5) n (x + 7 > 6).
Pls help
[tex]x - 2 < 5 \: and \: x + 7 > 6 \\ x < 7 \: and \: x > - 1[/tex]
The correct answer is the first one,
[tex] - 1 < x < 7[/tex]
Final answer:
To solve the given inequalities, (x - 2) < 5 and (x + 7) > 6, first isolate x in each one to get x < 7 and x > -1. The intersection of these solutions, which is the final answer, is -1 < x < 7.
Explanation:
The student has asked to solve two inequalities and find the intersection of their solutions. The inequalities are (x - 2) < 5 and (x + 7) > 6. To solve these separately:
For the first inequality, add 2 to both sides to get x < 7.
For the second inequality, subtract 7 from both sides to get x > -1.
To find the intersection, we look for values that satisfy both conditions: x > -1 and x < 7. Therefore, the solution is the set of all x such that -1 < x < 7.
Mike wants to make meatloaf. His recipe
uses a total of 4 pounds of meat.
If he uses a 3 to 1 ratio of beef to pork, how
much pork will he use? Enter your answer as a
mixed number in simplest terms.
Total meat in the recipe he wants to use = 7 pounds
Beef : pork = 3 : 1
Total pork that he will use = x 7 pounds
= 7/4 pounds
hope this helps
Answer:
Amount of pork used was 1 pound.
Step-by-step explanation:
Mike wants to make meatloaf by adding beef and pork.
Ratio of the meat (beef and pork) is = 3 : 1
Recipe requires total amount of meat = 4 pounds
So the amount of pork used in the recipe = [tex]\frac{1}{(1+3)}\times 4[/tex]
= [tex]\frac{1}{4}\times 4[/tex]
= 1 pound
Therefore, total amount of pork used in the recipe is 1 pound.
16. Which number has the greater value,
7 x 10-9 or 6 x 10-4?
in any case, the amount of zeros is more important than the significant digits. since 7X10-9 has a smaller exponent above the 10 than 6X10-4, it is safe to say 6X10-4 is the larger number
Answer:
7 x 10-9
Step-by-step explanation:
(7x10) (6 x 10)
70-9 60-4
61 56
Which of the following attributes does a line have?
Answer:
short or long, thin or thick, straight or curved, direct or meandering, zigzag or serpentine, distinct or blurred
Answer:
Length
Step-by-step explanation:
We know that a line segment has two end points with a definite length.
A straight line has neither starting nor end point and is of infinite length
The attribute of the line is the length
Hope this helps! :)
20. Acid Mixture Bill Charlson needs 10% hydrochloric acid
for a chemistry experiment. How much 5% acid should he
mix with 60 milliliters of 20% acid to obtain a 10% solution?
Answer:
120 ml
Step-by-step explanation:
Let x ml of 5% acid should mix with 60 milliliters of 20% acid to obtain a 10% solution,
Thus, the quantity of resultant mixture = ( x + 60 ) ml,
Also,
Acid in x ml 5% acid + Acid in x ml 5% acid = acid in 10% resultant solution,
5% of x + 20% of 60 = 10% of ( x + 60)
[tex]\frac{5x}{100}+\frac{20\times 60}{100}=\frac{10\times (x+60)}{100}[/tex]
[tex]5x + 1200 = 10x + 600[/tex]
[tex]5x - 10x = 600 - 1200[/tex]
[tex]-5x = -600[/tex]
[tex]\implies x = \frac{-600}{-5}=120[/tex]
Hence, 120 ml of 5% acid should be mixed.
4y/5b=L+s solve for B
Answer:
[tex]b = \frac{4y}{5l + 5s} [/tex]
Step-by-step explanation:
[tex] \frac{4y}{5b} = l + s[/tex]
multiplying through by the L.C.M. which is 5b
[tex] \frac{4y}{5b} \times 5b = (l + s) \times 5b[/tex]
cancel out
4y =5bL+ 5bs
factorizing b out
4y=b ( 5L +5s ).
making be the subject by dividing through by ( 5L+ 5s )
[tex] \frac{4y}{5l + 5s} = \frac{b(5l + 5s)}{5l + 5s} [/tex]
[tex]b = \frac{4y}{5l + 5s} [/tex]
What is the length of square root 18 to the nearest hundredth
Answer:
4.24
Step-by-step explanation:
solve the inequality: | x/4 - 7 | < -2
Answer:
no solutionStep-by-step explanation:
[tex]\left|\dfrac{x}{4}-7\right|<-2[/tex]
We know: absolute value is always non-negative.
Therefore, this inequality has no solution.
What is the minimum number of members of the Senate that must approve a treaty for it to go
into effect?
Answer:
Two thirds of the Senate must approve it
The minimum number of Senate members needed to approve a treaty is two-thirds of the Senate.
Explanation:The minimum number of members of the Senate that must approve a treaty for it to go into effect is two-thirds (⅔) of the Senate. The Constitution of the United States, Article II, Section 2, Clause 2 states that the President has the power to make treaties, but they require the advice and consent of the Senate.
For example, if the Senate has 100 members, then 67 votes would be needed to approve a treaty for it to go into effect. However, it is important to note that the Senate may require a supermajority vote, which would mean a higher percentage of approval than two-thirds, depending on their rules and procedures.
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Which of the following is congruent with the figure above?
Answer:
Step-by-step explanation:
It is obtion 4. See attached picture.
How to do a repeating decimal and turn it into it's rational form for example 0.3 repeating???
Answer:
Step-by-step explanation: 0.3 repeating can be made rational by turning it into 1/3.
[tex]\bf 0.\overline{3}\qquad \qquad x=0.\overline{3}\qquad \qquad \begin{array}{llll} 10\cdot x&=&3.\overline{3}\\\\ 100\cdot x&=&33.\overline{3} \end{array}\qquad \qquad \begin{array}{rllll} \stackrel{100x}{33.\overline{3}}\\\\ -\stackrel{10x}{3.\overline{3}}\\ \cline{1-1} 30.0 \end{array} \\\\[-0.35em] ~\dotfill\\\\ 100x-10x=30\implies 90x=30\implies x=\cfrac{30}{90}\implies x=\cfrac{1}{3}[/tex]
For her birthday, Kendra received a gift card in the mail from her grandparents. The gift card was worth $50. Kendra thought, since she had just received other gifts for her birthday, she would wait a while to spend the gift card. Unfortunately, Kendra forgot all about the gift card, and the card loses $5 every month after its date of purchase if it has not been used.
If Kendra forgot the card for three months, she lost $______.
Answer:
She lost $15 on her 50 dollar credit card.
Explanation:
Since Kendra looses 5$ each month, we have to look at how many months the card was left unused. The card was left unused for 3 months. Multiply the $5 by 3 months to get $15. Her card is now at $35
The amount of money Kendra lost in her gift card is required.
Kendra lost $15.
Initial value of the gift card = $50
Money lost per month = $5
Let M be the number of months after the gift card was bought.
The money lost after M months passed would be
[tex]5M[/tex]
Kendra forgot about the gift card for 3 months
So, [tex]M=3[/tex]
[tex]5\times3=15[/tex]
Kendra lost $15.
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Round 392,153 to the nearest hundred
Answer:
The answer is 392,200 if it's wrong I'm sorry
Answer:
392,200
Step-by-step explanation:
look at the right of the one (the hundreds place) and its a five. if its a five or above (which it is) bump up the one to the left of it, which was the one, and is now a two.
CAN EXPLAIN FURTHER IF THIS WAS UNCLEAR