If x-5 = 8, which equation below would also be true?
Answer:
A
Step-by-step explanation:
because
\(x - 5 = 8 \\ x = 8 + 5 \\ x = 13 \\ x - 5 + 2 = 8 + 2 \\ x - 3 = 10 \\ x = 10 + 3 \\ x = 13\)
Simplify this expression. Enter your answers in the boxes.
8.9 – 1.4x + (–6.5x) + 3.4
Answer:
12.3-7.9x
Step-by-step explanation:
8.9+3.4=12.3
-1.4x+(-6.5x)=-7.9x
Answer:
-7.9x+12.3
Step-by-step explanation:
8.9 – 1.4x + (–6.5x) + 3.4
Combine like terms
– 1.4x + (–6.5x) + 3.4+8.9
-7.9x +12.3
-7.9x+12.3
In Terrance County, 85% of eligible voters are registered to vote, and
government records from a recent gubernatorial election indicate that 60%
of registered voters actually voted in the election. If there are 21,800
eligible voters in Terrance County, how many people voted in the recent
qubernatorial election?
Answer:
11118 people voted
Step-by-step explanation:
Given
\(Eligible\ Voters = 21800\)
\(Registered\ Voters = 85\%\)
\(Voted\ Voters = 60\%\)
Required
Determine the number of voters
First, we need to determine the number of registered voters.
\(Number = \%Registered\ Voters * Eligible\ Voters\)
\(Number = 85\% * 21800\)
\(Number = 18530\)
Next, we determine the actual voters using
\(Voters = \%Voters * 18530\)
\(Voters = 60\% * 18530\)
\(Voters = 11118\)
Hence, 11118 people voted
Find the inverse of A = 9, -2 -10, 7 , if it exists.
The inverse of matrix A, if it exists, is:
A^(-1) = [7/43, 2/43; 10/43, 9/43]
To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.
Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:
det(A) = (9 * 7) - (-2 * -10)
= 63 - 20
= 43
Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.
The formula to calculate the inverse of a 2x2 matrix is:
A^(-1) = (1/det(A)) * [d, -b; -c, a]
Plugging in the values from matrix A and the determinant, we have:
A^(-1) = (1/43) * [7, 2; 10, 9]
Simplifying further, we get:
A^(-1) = [7/43, 2/43; 10/43, 9/43].
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12. According to the label, the package of crackers contains 6 grams of fat, which is 8% of the recommended daily value.
How many total daily grams of fat are recommended in a day?
Periodic Inventory Using FIFO, LIFO, and Weighted Average Cost Methods The units of an item available for sale during the year were as follows: Jan. 1 Inventory 16 units at $31 $496 Aug. 13 Purchase 14 units at $33 462 Nov. 30 Purchase 13 units at $35 455 Available for sale 43 units $1,413 There are 21 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the inventory cost using the (a) first-in, first-out (FIFO) method; (b) last-in, first-out (LIFO) method; and (c) weighted average cost method (round per-unit cost to two decimal places and your final answer to the nearest whole dollar). a. First-in, first-out (FIFO) $fill in the blank 1 b. Last-in, first-out (LIFO) $fill in the blank 2 c. Weighted average cost
The ending inventory cost on December 31 for 21 units, under the three inventory methods, is as follows:
a) first-in, first-out (FIFO) method: $719
b) last-in, first-out (LIFO) method: $661
c) weighted average cost method: $690
What does the ending inventory cost?The ending inventory cost is the difference between the cost of goods available for sale and the cost of goods sold determined by the various inventory methods.
Some of the inventory methods include:
First-in, First-outLast-in, First-outWeighted AverageSpecific Identification.Date Activities Units Unit Cost Total
Jan. 1 Inventory 16 $31 $496
Aug. 13 Purchase 14 $33 462
Nov. 30 Purchase 13 $35 455
Available for sale 43 $1,413
Average cost = $32.86 ($1,413 ÷ 43)
Ending inventory 21
Units sold = 22 (43 - 21)
a) FIFO:
Ending inventory = $719 (13 x $35 + 8 x $33)
Cost of goods sold = $694 ($1,413 - $719)
b) LIFO:
Ending inventory = $661 (16 x $31 + 5 x $33)
Cost of goods sold = $752 ($1,413 - $661)
c) Weighted Average:
Ending inventory = $690 (21 x $32.86)
Cost of goods sold = $723 (22 x $32.86)
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3 1/3 + (-2 1/4) + 1 5/6=
Answer:
\(2\dfrac{11}{12}\)
Step-by-step explanation:
The first step is to ensure that all of the fractions have a common denominator.
\(3\dfrac{1}{3}+\left( -2\dfrac{1}{4} \right) + 1\dfrac{5}{6}= \\\\3\dfrac{4}{12} - 2\dfrac{3}{12} +1 \dfrac{10}{12}= \\\\1\dfrac{1}{12}+1\dfrac{10}{12}= \\\\\boxed{2\dfrac{11}{12}}\)
Hope this helps!
Which inequality is represented by the graph?
Answer:
y ≤ 2/5x - .5
Step-by-step explanation:
Well it is a solid line with it shaded down meaning the inequality starts with
y ≤,
And by look at the y axis we can tell that the line crosses the y axis at -.5 which is the y intercept.
And by looking at the line we can tell the slope is 2/5.
Hence, the inequality is y ≤ 2/5x - .5
A 4-cup bottle of shampoo costs $10.24. What is the price per pint?
Answer:
Step-by-step explanation:
There are 2 pints in 1 quart, and 4 quarts in 1 gallon, so there are:
2 pints/quart x 4 quarts/gallon = 8 pints/gallon
To find the price per pint of shampoo, we need to first convert the volume of the bottle from cups to pints. There are 2 cups in 1 pint, so a 4-cup bottle of shampoo contains:
4 cups / 2 cups per pint = 2 pints
The price per pint of shampoo can then be calculated as:
$10.24 / 2 pints = $5.12 per pint
Therefore, the price per pint of shampoo is $5.12.
Answer:
$5.12
Step-by-step explanation:
1 cup = 0.5 pint
4 cup = 2 pints
What is the price per pint?
10.24 / 2 = $5.12
So, the cost per pint is $5.12
A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many
solutions, which statement must be true?
A) On the graph, there are no points (z, y) that satisfy both equations.
B) On the graph, there is exactly one point (z,y) that satisfies both the equations.
C) On the graph, any point (z,y) that satisfies one of the equations cannot satisfy the other equation.
D) On the graph, any point (z,y) that satisfies one of the equations must also satisfy the other equation.
Job A: $496.15 per weekJob B: $25,750 per year
a. Which job pays more?
b. How much more?
Answer: A. Job A pays more
B. $49.80
Step-by-step explanation:
Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Set A
co
5
H
The mapping diagram above|
Set B
✓in
-2
3
O
7
શ function since
where there
Answer:
It is not a function
Step-by-step explanation:
A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.
Here, element "1" has two images 3 and 7. Therefore it's not a function.
Ryan is working on his first budget. He has placed all of the fixed expenses on the budget shown and then would like to use the information to evaluate his variable expenses. Ryan's take-home pay is 2,500 each month. Complete the table below the answer the questions below.
please help me
complete the table and answer the four questions below if you tell me how to do I'll be happy to mark you brainlest!!!
1) what percent of his monthly budget do his transport costs account for?
2) what percent of his monthly budget has he accounted for?
3) Ryan would like to save 10% of his take-home pay towards retirement. How much would he be able to save each month?
4) Assume that Ryan does save 10% for retirement. If he allocates the remainder of his take-home pay to entertainment compromise of the total monthly budget? How much will be budgeted towards entertainment?
The percent of his monthly budget that his transport costs account for will be 17.8%.
How to calculate the percentage?The percent of his monthly budget that his transport costs account for will be:
= 325/(800 + 450 + 125 + 325 + 125) × 100
= 325/1825 × 100
= 17.8%
The percent of his monthly budget has he accounted for will be:
= 1825/2500 × 100
= 73%
When he saves 10% of his take-home pay towards retirement, the amount saved will be:
= 10% × $2500
= $250
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The percent of Rayan's monthly budget that his transport costs account for will be 17.8%.
1. The proportion of his monthly budget that his transit expenses make up is:
= 325/(800 + 450 + 125 + 325 + 125) × 100
= 325/1825 × 100
= 17.8%
The proportion of his monthly budget that he has already accounted for is:
= 1825/2500 × 100
= 73%
He will save the following sum for retirement if he sets aside 10% of his after-tax income:
= 10% × $2500
= $250
The answer is $250.
2. To find the percentage of his monthly budget accounted for by transport costs, we add up the amounts for Car Payment and Gas:
$325 + $125 = $450.
Then we calculate the percentage: (450 / 2500) x 100% = 18%. Therefore, his transport costs account for 18% of his monthly budget.
3. To find the percentage of his monthly budget accounted for overall, we sum up all the amounts in the table:
$800 + $450 + $125 + $325 + $125 = $1,825.
Then we calculate the percentage: (1825 / 2500) x 100% = 73%. Therefore, he has accounted for 73% of his monthly budget.
4. To calculate how much Ryan can save each month for retirement, we take 10% of his take-home pay:
10% of $2,500 = $250.
Thus, he can save $250 each month for retirement.
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Graph the line. -2x+y=4
Answer:
y=2x+4
i think that is the answer
7.) The mean rate for a satellite television from a sample of households was $51.00 per month,
with a standard deviation of $2.00 per month. Between what two values do 75% of the data lie?
(Assume a bell-shaped distribution.) (HINT: Chebychev's Theorem)
Answer: 75% of the rate lies in 47 per month and 55 per month.
Step-by-step explanation:
The mean rate for a satellite television from a sample of households was $51.00 per month, with a standard deviation of $2.00 per month.
According to the Chebychev's Theorem, atleast \((1-\dfrac{1}{k^2})\) % of the data lies within k standard deviation from the mean.
For k=2
\(1-\dfrac1{2^2}=1-\dfrac14=\dfrac34=0.75\ or \ 75\%\)
Alteast 75% of data lies within 2 standard deviation from mean.
i.e. 51-2(2) per month and 51+2(2) per month
i.e. 47 per month and 55 per month
Hence, 75% of the rate lies in 47 per month and 55 per month.
A coin is tossed twice. Let
E
be the event "the first toss shows heads" and
F
the event "the second toss shows heads".
(a) Are the events
E
and
F
independent?
Input Yes or No:
(b) Find the probability of showing heads on both tosses. Write your answer as a reduced fraction.
Answer:
Answer:
(a) Yes, E and F are independent events.
(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4
Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.5 gallons of fuel. A warning light comes on when the remaining fuel is 2 gallons or less.
Write and solve an inequality to represent this situation.
PLZ HURRY
Answer:
hi
Step-by-step explanation:
Will give the brainliest answer
Answer:
I think it's C, because the figures are similar by THAT statement
which expression is equivalent to x^2-12x+11
Answer:
(x - 1)(x - 11) would be one thing equivalent to the expression.
Answer:
(x-11)(x-1)
Step-by-step explanation:
I'm assuming you need it to be factored?
Which of the following are geometric sequences?
Check all that apply.
Answer:
c , I think :))))))))))))
Answer: C
Step by Step Explanation:
Can not give, sorry
the correct answer.
Which inequality represents the values of that ensure triangle ABC exists?
A
2x+4
B
O D.
18
OA.
<< 1
OB. -< < ¹
O c. 1 < x < 5
6x
2 < < 6
The Inequality which ensure triangle exists is A. 7/4 < x < 11/2
What is the inequalityInequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."
Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal.
Theorem used In ΔABC,
AB + BC >AC
AC+ BC >AB
AC + AB > BC
According to the question,
In triangle ABC.
AC = 18units
BC = 6x units,
AB = 2x + 4 units
Substitute the value in the inequality to ensure triangle exists we get 7/4 < x < 11/2. The correct option is A.
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A manager asked her employees how many times they had given blood in the last year. The results of the survey are given below. The random variable x represents the number of times a person gave blood and P(x) represents the probability of selecting an employee who had given blood that percent of the time. What is the mean number of times a person gave blood based on this survey
Complete Question
The probability distribution table is given below:
\(\left|\begin{array}{c|ccccccc}x&0&1&2&3&4&5&6\\P(x) &0.33 &0.24& 0.16& 0.12 &0.08 &0.05& 0.02\end{array}\right|\)
Answer:
1.61
Step-by-step explanation:
The probability distribution table is given below:
\(\left|\begin{array}{c|ccccccc}x&0&1&2&3&4&5&6\\P(x) &0.33 &0.24& 0.16& 0.12 &0.08 &0.05& 0.02\end{array}\right|\)
We want to determine the mean number of times a person gave blood.
Expected Value, \(E(x)=\sum x_i\cdot P(x_i)\)
\(=(0 \times 0.33)+ (1 \times 0.24)+(2\times0.16)+(3\times0.12)+(4\times0.08)+(5\times0.05)+(6\times0.02)\\=0+0.24+0.32+0.36+0.32+0.25+0.12\\=1.61\\\)
The mean number of times a person gave blood based on this survey is 1.61.
What is the equation of this line?
a.y = 2x
b.y=−12x
c.y=12x
d.y=−2x
Answer:
Im thinking its y=-2x but Im not 100% sorry if its wrong
If a bag contains 12 apples, 4 bananas, and 8 oranges, what is the part-to-whole ratio of apples to all fruit?
Answer:1:6 is the answer. there are 4 bananas and 24 pieces of fruit total so it would be 4:24 until you simplify it to 1:6
Step-by-step explanation:
Answer:
1:6
Step-by-step explanation:
broski
1+2*3-4. Please answer
Answer:1(2x3)-4= 3
2x3= 6 -4=2+1=3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
2x3=6
1+6=7
7-4=3
multiplying and simplify radicals!
if u get it right I’ll give brainliest (show work pls!!!)
Answer: 8
Explanation: To multiply two square roots together, simply multiply the numbers inside the square roots together to get \(\sqrt{64}\) which is 8.
Notice that when you multiply a square root times itself, the radical disappears, and you're left with the number inside the original square root.
why must multiply the dividend by the same power of 10 that you multiplied the divisor by to write it as a whole number
The given situation is about divison of decimal.
When we divide two decimal number, we can multiply the dividend and the divisor by a power of 10 to transform the numbers in whole numbers. However, we have to multiply the same power with the dividend and divisor because we have to maintain the consistency of the division.
In other words, if we multiply different powers of 10, then we would have the divison completely wrong.
hi these are 3 simple questions please give correct answers
u get 40 points
please give correct answers
very urgent
Answer:
1) A.18:1
2)B.125
Step-by-step explanation:
hope this helps
simplify 13¹/3+2¹/3-10/2
The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.
Given
13¹/3+2¹/3-10/2
Required simplified it =?
First, we have simplified both constants separately
13¹/3 = (3 * 13 + 1) / 3 = 40/3
2¹/3 = (3 * 2 + 1) / 3 = 7/3
now the expression become = 40/3 + 7/3 - 10/2
now taking LCM of 3 and 2 which is 6.
= 80/6 + 14/6 - 30/6
now we have to simplify this fraction by dividing by 2 = 64/6
Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.
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Which statement is true about the prime polynomial 2x2 + 3x + 3?
It cannot be modeled with a rectangle.
It can be modeled with a square.
It cannot be modeled with all positive tiles.
It can only be modeled with an odd number of tiles.
Answer:
A
Step-by-step explanation:
because problem make more sences
Answer:
A it cannot be modeled with a rectangle
Step-by-step explanation: