what is the sum of a rational numbers?
Answer:
Step-by-step explanation:
So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.
an aquarium tanks holds 95 liters of water.how much is this in gallons ?use the following conversion: 1 gallon is 3.8 liters
Answer:
25 gallons
Step-by-step explanation:
Complete the statement. The drawing is not to scale. If mangle upper D upper G upper F = 84°, then mangle upper D upper E upper F = ___. Two adjacent triangles are shown.
Answer:
The answer is 84° because they are the same thing just on opposite sides therefore they would be the same thing.
What is the value of the expression below?
Answer:
10.
Step-by-step explanation:
1) 2(32-(4-1)^3)
2) 2(32-3^3)
3) 2(32-27)
4) 2*5
Answer: 10
which group contains only attribute data?
Answer:
b. weight length distance
Answer:
temperature. color. texture
On Thursday, a website received x advertisement orders. On Friday, the website received 8 more advertisement orders than on Thursday. The expression 2x + 8 represents the total number of advertisement orders received over two days. What does the "+8" mean in the expression 2x + 8? the number of days the total number of advertisement on both days how many more advertisements were ordered on Friday than Thursday the number of advertisement ordered on Friday
Answer:
2x+8
Step-by-step explanation:
Answer:
"how many more advertisements were ordered on Friday than Thursday"
Step-by-step explanation:
Find the slope and the y-intercept of the line y=9x-8
Answer:
the slope is 9 and the y-int. is -8
Step-by-step explanation:
Answer:Y = -8
Slope is 9
Step-by-step explanation:
Y=9 x 0 - 8
-9x = -8
X =8/9
find the value of x
Answer:
x = 68°
Step-by-step explanation:
∠ DCB = ∠ EDC = 27° ( alternate angles )
Thus ∠ ECB = 23° + 27° = 50°
The sum of the 3 angles in a triangle = 180°, thus
x = 180° - (62 + 50)° = 180° - 112° = 68°
Answer:
68°
Step-by-step explanation:
DE ║ BC
So, ∠DBC = ∠ADE = 62° (∵ Corresponding Angles are equal )
In triangle DEC ,
∠EDC+ ∠ECD = ∠AED (∵ Exterior Angle Sum Property of a triangle )
⇒ ∠AED = 23° + 27° = 50°
Now in triangle AED ,
∠EAD + ∠ADE + ∠AED = 180°
⇒ x° + 62° + 50° = 180°
⇒x° = 180° - 112° = 68°
Ms. Garcia's seventh grade class is collecting aluminum cans to buy new board games. They receive $0.35 for each pound of cans they collect. What is the minimum number of pounds of aluminum cans they need to collect in order to purchase a board game that costs $27.20? HELP PLEASE
Answer:
The minimum number of pounds of cans they need to collect is 77. I hope this helps you.
Step-by-step explanation:
You would have to divide $27.20 divided by $0.35 and you would end with 77.7142857143 but basically 77.
Write the expression that represents this phrase: 5 less than z
Answer:
5-z
Step-by-step explanation:
5 less then z
Less then: subtraction
Hope it Helped!
I NEED HELP BEFORE 4:30PM EST !!!!!
Fill in the blanks, the numbers you can use are:
3, -3, 56, 1, 8, 7, 15, -7
The answers are:
The first blank is: 8
The second blank is: -3
The last blank is: -7
Hope this helps!
the scale for a map to actual distance is 2 cm to a 100 miles the actual distance on the map be between Los Angeles and Las Vegas is 5.4 centimeters what is the actual distance in miles between Los Angeles and Las Vegas.Show your work.
Given :
The scale for a map to actual distance is 2 cm to a 100 miles.
To Find :
He actual distance on the map be between Los Angeles and Las Vegas is 5.4 centimetres what is the actual distance in miles between Los Angeles and Las Vegas.
Solution :
2 cm of map shows 100 miles of actual distance.
So, 1 cm of map shows 50 miles of actual distance.
Now, 5.4 cm of map will show :
[tex]D=5.4\times 50\ miles\\\\D=270\ miles[/tex]
Therefore, distance between Los Angeles and Las Vegas is 270 miles.
Hence, this is the required solution.
18= 5m + 3 .. what would b m?
Answer:
m=3
Step-by-step explanation:
Move all terms that don't contain m to the right side and solve.
Answer:
m=3
Step-by-step explanation:
Simplifying
18 = 5m + 3
Reorder the terms:
18 = 3 + 5m
Solving
18 = 3 + 5m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-5m' to each side of the equation.
18 + -5m = 3 + 5m + -5m
Combine like terms: 5m + -5m = 0
18 + -5m = 3 + 0
18 + -5m = 3
Add '-18' to each side of the equation.
18 + -18 + -5m = 3 + -18
Combine like terms: 18 + -18 = 0
0 + -5m = 3 + -18
-5m = 3 + -18
Combine like terms: 3 + -18 = -15
-5m = -15
Divide each side by '-5'.
m = 3
Simplifying
m = 3
hope this helps
x: -2(x + 3) = -2(x + 1) - 4. ( 1 point)
Answer:
This is true for all x
Step-by-step explanation:
-2(x + 3) = -2(x + 1) - 4
Distribute
-2x-6 = -2x-2 -4
Combine like terms
-2x-6 = -2x-6
Add 2x to each side
-2x+2x-6 = -2x+2x-6
-6 = -6
This is always true so there are infinite values
This is true for all x
Find the slope of the line that passes through the points (2, -5) and (7, 1) Step 1: Choose (x1, y1) X1= ___ y1=___
Answer:
slope: 6/5
Step-by-step explanation:
you do y2-y1 divided by x2-x1 so it will be 1-(-5) / 7-2 which is equal to 6/5
At the beginning of the week, Joshua had $356 in his savings account. At the
end of the week he only had $123 in his savings account. Write and solve an
equation to find the amount of money that Joshua spent during the week.
equation: 356 - x = 123
The x can be changeable
the actual answer:
356 - 356 - x = 123 - 356
-1x/-1 = -233/-1
x =233
What are all real numbers greater than or equal to 0 called?
Answer:
Postitive numbers
Step-by-step explanation:
An equilateral triangle (one with all sides the same length) has an
altitude of 100 inches. Find the lengths of the sides.
Answer:
33.3 in
Step-by-step explanation:
you divide 100 by 3
Answer:
33.3 inches bc u divide it by 3
Step-by-step explanation:
If endpoints of a segment are (3,0) and (0,3), what is the length of the segment
Answer:
[tex]d=3\sqrt{2}[/tex]
Step-by-step explanation:
Distance formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(0-3)^2+(3-0)^2}[/tex] 0-3=-3 3-0=3
[tex]d=\sqrt{(-3)^2+(3)^2}\\d=\sqrt{(9+9)[/tex]
[tex]d=\sqrt{18}\\d=3 \sqrt{2}[/tex]
Simplify this expression. (Distributive Property) 4(6p+2q-2p)
Answer:
16p+8q
Step-by-step explanation:
4(6p+2q−2p)
=(4)(6p+2q+−2p)
=(4)(6p)+(4)(2q)+(4)(−2p)
=24p+8q−8p
20
Simplify the expression:
(6y + 4y + 7) – (2y – 10)
Answer:
8y+17
Step-by-step explanation:
Simplify (4/5)^-2 . Show your work!
Answer:
[tex]\frac{25}{16}[/tex]
Step-by-step explanation:
Apply exponent rule: [tex]x^{-y}=\frac{1}{x^y}[/tex]
[tex](\frac{4}{5}) ^{-2}=\frac{1}{\left(\frac{4}{5}\right)^2}=\frac{1}{\frac{16}{25}}=\frac{25}{16}[/tex]
Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the value of x in the image below.
Answer:
Complementary and x = 24°
Step-by-step explanation:
→ Recognise that angles on a straight line add up to 180°
x + 8° + 148° = 180°
→ Simplify equation
x + 156° = 180°
→ Minus 156° from both sides of the equation to isolate x
x = 24°
If McDonald sells 5 cows for $100 each and buys a horse for $250 how much would he have
Answer: 250
Step-by-step explanation:
5(1000)=500
500-250= 250
Is PQRST a scaled copy of ABCDE ? Explain reasoning
Answer: no
Step-by-step explanation:
The number is x. Write the mathematical expression for: Five more than the product of the number and six. The mathematical expression is _ NOTE: Make sure that there are NO SPACES between the numbers and the operations. The number is x. Write the mathematical expression for: Five more than the product of the number and six.
Answer:
5x+x=6
Step-by-step explanation:
On April 1, the company hired an attorney for a flat monthly fee of $3,5000. Payment for April legal services was made by the company on May 12.
Answer:
Question continuation
"2. A $480,000 note payable requires 9.1% annual interest, or $3,640, to be paid at the 20th day of each month. The interest was last paid on April 20 and the next payment is due on May 20. As of April 30, $1,213 of interest expense has accrued.
3. Total weekly salaries expense for all employees is $9,000. This amount is paid at the end of the day on Friday of each five-day workweek. April 30 falls on a Tuesday, which means that the employees had worked two days since the last payday. The next payday is May 3. The above three separate situations require adjusting journal entries to prepare financial statements as of April 30. For each situation, present both the April 30 adjusting entry and the subsequent entry during May to record the payment of the accrued expenses. (Use 360 days a year. Do not round intermediate calculations.)"
Solution:
No Type Date Account Debit Credit
1 Adjusting Apr 30 Legal Expenses $3,500
Accounts Payable $3,500
(To record legal expenses)
Subsequent May 12 Accounts Payable $3,500
Cash $3,500
(To record payment in May)
2 Adjusting Apr 30 Interest Expense $1,213
Interest Payable $1,213
(To record interest expense accrued)
Subsequent May 20 Interest Expense $2,427
($3,640-$1,213)
Interest Payable $1,213
Cash $3,640
(To record payment in May)
3 Adjusting Apr 30 Salaries Expense $3,600
Salaries Payable $3,600
($9,000/5*2)
(To record salaries expense accrued)
Subsequent May 3 Salaries Expense $5,400
($9,000/5*3)
Salaries Payable $3,600
Cash $9,000
(To record payment in May)
The local humane society is restocking on cat food to prepare for kitten season. Very young kittens need kitten formula which costs $3.99 per bottle. Older kittens need wet cat food which costs $1.50 per can. Part A: Write an algebraic expression to describe how much the humane society will spend preparing for kitten season. Part B: How much money (before tax) will the humane society spend if they buy 30 bottles of kitten formula and 120 cans of wet cat food? Part C: If you add a 7% sales tax to the purchase of bottles of kitten formula and cans of wet cat food, write a new expression accounting for sales tax.
Answer:
A. 3.99b+1.50c
B. 119.70+180= $299.70
C. (3.99b×0.07)+(1.50c×0.07)
Simplify the expression 8x+x
[tex]\text{Hey there!}[/tex]
[tex]\text{Simplify the expression 8x + x. }[/tex]
[tex]\text{First, you have to combine your like terms (8x \& x)}[/tex]
[tex]\text{x by itself is understood as a(n) \bf{invisible 1}}[/tex]
[tex]\text{Your new equation is: 8x + 1x}[/tex]
[tex]\text{8x + 1x = 9x because 8 + 1 equals 9 \& the x's are the like terms we had to}[/tex] [tex]\text{substitute into the equation}[/tex]
[tex]\text{Thus, your answer is: \boxed{\bf{9x}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
0.5x -2 = 1.5x + 0.15
Answer: x=−2.15
Step-by-step explanation : Alright Let's solve your equation step-by-step.
0.5x−2=1.5x+0.15
Step 1: Subtract 1.5x from both sides.
0.5x−2−1.5x=1.5x+0.15−1.5x
−x−2=0.15
Step 2: Add 2 to both sides.
−x−2+2=0.15+2
−x=2.15
Step 3: Divide both sides by -1.
−x
−1
=
2.15
−1
x=−2.15 hope this helped!- Alex