How many packs of DVD's can you buy with 180 dollars if one pack costs 12 dollars?
Final answer:
With $180 and each pack costing $12, you can buy 15 packs of DVDs.
Explanation:
Calculating the Number of DVD Packs
To determine how many packs of DVDs you can buy with $180 when one pack costs $12, you need to perform a simple division operation. You divide the total amount of money you have by the cost of one pack of DVDs:
$180 ÷ $12 per pack = 15 packs.
Therefore, with $180, you can buy 15 packs of DVDs.
Owen has enough materials to build up to 10 birdhouses in shop class. Each birdhouse needs 12 square feet of wood. The function W(b) = 12b represents the total amount of wood that Owen would need to build b birdhouses. What domain and range are reasonable for the function?
A.
D: 10 ≤ b ≤ 12
R: 0 ≤ W(b) ≤ 120
B.
D: 0 ≤ b ≤ 120
R: 0 ≤ W(b) ≤ 10
C.
D: 0 ≤ b ≤ 10
R: 12 ≤ W(b) ≤ 120
D.
D: 0 ≤ b ≤ 10
R: 0 ≤ W(b) ≤ 120
Each birdhouse uses 12 sq ft of wood.
He has enough to build 10 birdhouses, so he has 120 sq ft of wood.
The function has an input of the number of birdhouses, b, and has an output of the amount of wood needed, W. b is the input or the domain, and W is the output or the range. The domain is 0 to 10. The range is 0 to 120.
Answer: B. D: 0 ≤ b ≤ 10 R: 0 ≤ W(b) ≤ 120
Enjoy! Hope this helped you! :)
Find the measures of angle AOC and angle COB in the graph
The measures of angles AOC and COB typically depend on the lengths of segments or other angles in the configuration. If points A, O, C, and B are on a circle with O as the center, the measures of these angles are related to the lengths of the arcs AC and BC. However, without a specific graphical representation, a precise answer cannot be provided.
Explanation:Without any graphical representation, we could only suggest a general way to find the measures of Angle AOC and Angle COB. Regardless, in geometry, points A, O, and C usually represent vertices of an angle or a triangle. The measures of these angles could usually be calculated if the lengths of the connecting segments are known or if other angles in this configuration are known.
If 'O' were the center of the circle and 'A', 'C', and 'B' are points on the circle, the measures of angles AOC and COB depend on the measure of arc AC and BC respectively. These measures can be determined by the proportion of the arc length to the total circumference of the circle, multiplied by 360 degrees.
Based on the understanding of the 'points rotate through the same angle (AO)', information given, if both angles rotate through the same angle, then Angle AOC and Angle COB should be equal. However, without a specific graphical representation, it's hard to give a precise answer.
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The measure of angle AOC is 45⁰.
The measure of angle COB is 45⁰
How to calculate the measure of angle AOC and COB?The measure of the angles is calculated by applying trigonometry ratio as follows;
The measure of angle AOC is calculated as;
AOC = 90 - COB (complementary angles add up to 90 degrees)
The measure of angle COB is calculated as;
tan O = CB / OB
tan O = 5 / 5
tan O = 1
O = arc tan (1)
O = 45⁰
So angle COB = 45⁰
The measure of angle AOC is calculated as;
AOC = 90 - 45
AOC = 45⁰
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What does an author's claim contain?
an opinion about a toplo
the support for the argument
the entire argument
the reasons for the claim
Final answer:
An author's claim is a specific statement that represents the main argument, supported by evidence and reasoning, and serves as the backbone of the thesis structure in academic writing.
Explanation:
An author's claim contains an opinion about a topic that is presented as a specific statement or assertion for which the author will provide support throughout their work. The claim is often a summation of the author's main argument or thesis statement and is supported by evidence, including facts, statistics, anecdotes, and quotations. In addition to presenting the argument, the claim is backed by reasoning, and the author must use analysis to show how the evidence relates to and supports the claim.
The effective use of a claim involves stating it clearly and supporting it with credible evidence, thereby forming the backbone of the thesis-first or thesis-last structure in an academic paper. It's critical for the claim to be directly connected to evidence through logical reasoning, such as cause and effect or comparison and contrast, to ensure that the argument is coherent and compelling.
2x + 5 = 4 (5/4 - 1/2 x)
Answer:
x=0
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x+5=−2x+5
Step 2: Add 2x to both sides.
2x+5+2x=−2x+5+2x
Step 3: Subtract 5 from both sides.
4x+5−5=5−5
4x=0
Step 4: Divide both sides by 4.
4x/4=0/4
X=0
Add. 4 7/12+2 3/4+7 5/12
A.13 3/4
B.14 1/4
C.14 3/4
D.15 1/4
Add.
4/5+3 1/10
Enter the sum in the box as a mixed number in simplest form.
Answer:
C.14¾
3 9⁄10
Step-by-step explanation:
[tex] \frac{4}{5} + 3 \frac{1}{10} = \frac{8}{10} + 3 \frac{1}{10} = 3 \frac{9}{10} [/tex]
[tex]4 \frac{7}{12} + 2 + \frac{3}{4} + 7 \frac{5}{12} = 13 \frac{12}{12} + \frac{3}{4} = 14 + \frac{3}{4} = 14 \frac{3}{4} [/tex]
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The function f(x) is shown in the graph.
What is the equation for f(x)?
Enter your answer in the box.
f(x)=
Answer:
[tex]f(x) = \frac{3}{7}x - 5[/tex]
Step-by-step explanation:
Starting from the y-intercept of [0, -5], you can do rise\run by either moving three blocks south over seven blocks west, or three blocks north over seven blocks east, over to where the graph touches its first endpoint [west and south are negatives].
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Write which place to use when comparing the numbers 3,176 & 3,472
Answer:
Step-by-step explanation:
To compare 3,176 and 3,472 using the number line, remember how numbers appear on a number line:
Smaller numbers are to the left, and larger numbers are to the right.
but since both is in the 3,000 just make sure one is on the left and find out where the bigger one goes on the right
Answer:
The hundreds place
Step-by-step explanation:
To compare numbers we start from the left of each number. Both of these numbers have 4 digits. The leftmost digit is the thousands place.
3,176 & 3,472
The thousands places both show 3. Both numbers are 3 thousand and something. The thousands places are equal and are not enough to compare the numbers.
3,176 & 3,472
The hundreds places show a 1 and a 4. The digit 1 in the hundreds place means 100. The digit 4 in the hundreds place means 400. Since 4 is greater than 1, by comparing the digits in the hundreds place, we can already tell which number is greater.
Answer: The hundreds place.
Martin paid $6 for 4 avocados at a farm stand. He wants to know what the price would be for buying different numbers of avocados? What is the price of 2 avocados?
Answer:
$3
Step-by-step explanation:
4/$6 = 2/$3
Answer:
3
Step-by-step explanation:
ywwwwww
A man was surprised when he found an old bank account statement in his mother’s attic. Money had been left for 30 years in a bank account paying simple annual interest. The statement showed that originally $500 had been put into the account. When he called the bank, he found that there is now $1550 in the account! What is the annual interest rate?
Answer:
7%
Step-by-step explanation:
Answer:
7% is the correct answer
I have 86 hours divided into 15 days how many hours per day
Answer:
86/15 hours/day or 5.73333333333 hours/day
Step-by-step explanation:
divide 86 by 15 to get your answer
don't forget units
Answer: 86 hours divided into 15 days would approximately be 6 hours per day (or 5.733 if you aren't rounding the amount).
3. After hiking to the top of a mountain, Raul starts to descend at the rate of 350
feet per hour. What real number represents his vertical change after 1 1/2 hours?
Answer: 525 ft
Step-by-step explanation:
350 = 1 hour
350 / 2 = 175 in half an hour
350 + 175 = 525 ft
What is the answer to number two in “Fill the blanks with the correct pronoun given in parentheses” ASAP
“_____ and _____ are going with us.
Choices: (him/her) or (he/she)
Answer:
The answer is He and She.
Step-by-step explanation:
The answer is he and she. Him and her are object pronouns, meaning they are used as the direct or indirect object of a verb. He and She are used because these are subject pronouns, subject of the verb. For example:
He bought lunch for her: He is used as the subject, and her is used as the object of a verb.
Find the area of the parallelogram that has a base of 2 1/2 ft and a height of 1 1/4ft
Answer:
The area of the parallelogram is [tex]3\frac{1}{8}ft^{2}[/tex]
Step-by-step explanation:
Remember that a mixed fractions are composed for a whole number, a numerator and a denominator. For example in the mixed fraction [tex]2\frac{1}{3}[/tex]: 2 is the whole number, 1 is the numerator and 3 is the denominator.
If you want to convert to a improper fraction you need to multiply the whole number by the denominator and add to the numerator. The result will be the numerator of the improper fraction. The denominator remains the same.
[tex]2\frac{1}{3}=\frac{(2*3)+1}{3} =\frac{7}{3}[/tex]
1. Convert the mixed fractions in the improper fraction type, as follows:
[tex]Base= 2\frac{1}{2}=\frac{5}{2} \\ \\Height= 1\frac{1}{4}=\frac{5}{4}[/tex]
2. Replace the data in the equation of a parallelogram
[tex]Area= Base*Height[/tex]
[tex]Area= Base*Height\\Area=\frac{5}{2}ft *\frac{5}{4}ft\\Solve...\\Area=\frac{25}{8}ft^{2}[/tex]
3. Convert the improper fraction in a mixed fraction
[tex]Area=\frac{25}{8}ft^{2}=3\frac{1}{8}ft^{2}[/tex]
The area of the parallelogram is [tex]3\frac{1}{8}ft^{2}[/tex]
If x2 = 30, what is the value of x?
A. ±60 B. ±15 C. ±square root of 30 D.±square root of 15
Answer:
sorry i cant tell if that two is an exponent. If it is x squared then the answer is the square root of 30
if the federal reserve sets the reserve rate at 12.5% what is the resulting money multiplier
Answer:
Currently the U.S. is on a downwards spiral and will fall soon.
Step-by-step explanation:
The resulting money multiplier is 8
What is a money multiplier?The money multiplier represents the greatest amount the supply of money increase on the bases of an increase in reserves within the banking system.
How to find the resulting money multiplier ?The given rate is 12.5%So, rate = 12.5/100 = 0.125
The resulting money multiplier (M) = 1/r∴ (M) = 1/0.125 = 8
The resulting money multiplier is 8
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c.
5 tomatoes for $3.10. What was the cost per tomato?
The cost per tomato is $0.63.
Answer:
The cost of each tomato is $0.62
Step-by-step explanation:
Consider the provided information.
5 tomatoes for $3.10.
We need to determine the cost per tomato.
To find this divide the number of tomatoes from the cost of tomatoes.
[tex]\frac{3.10}{5}=0.62[/tex]
Hence, the cost of each tomato is $0.62
Converting Point-Slope Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (–4, 3). Write the equation in slope-intercept form. Choose the equation of the line.
A) y = 2x – 7
B) y = 2x + 11
C) y = –4x + 14
D) y = 3x +14
Here is HOW to do it.....:
Input Data :
Coordinates
(
x
A
,
y
A
)
(xA,yA)
= (5, 4)
Slope (m) = 8
Objective :
Find slope of a straight line?
Formula :
y
−
y
A
=
m
(
x
−
x
A
)
y-yA=m(x-xA)
Solution :
y - 4 = 8 (x - 5)
y - 4 = 8x - 40
y = 8x - 40 + 4
y = 8x - 36
8x - y - 36 = 0
Answer:
the answer is B
Step-by-step explanation:
3 1/4 yards of fabric costs $27.95. what is the cost per yard
Answer:
8.6
Step-by-step explanation:
because 27.95 divided by 3.25=8.6
Julias text messaging plan costs $8 for the first 400 messages and 20e for each additional text message. If she owes $24.00 for text messaging in the month of
September, how many text messages did she send that month?
Julia sent 401 text messages in the month of September.
Explanation:To find the number of text messages Julia sent, we can set up an equation using the given information.
Let's assume she sent x additional messages.
The cost of the additional messages would be 20x.
Since her total cost is $24, we can write the equation:
8 + 20x = 24
Subtracting 8 from both sides gives:
20x = 16
Dividing both sides by 20 gives:
x = 0.8
Since x represents the additional messages sent, we can round it to the nearest whole number.
Therefore, Julia sent 1 additional text message.
In order to find the total number of messages sent, we can add the initial allowance of 400 messages to the additional message:
Total messages sent = 400 + 1 = 401 text messages.
Final answer:
Julia sent a total of 401 text messages in September.
Explanation:
Julia's text messaging plan costs $8 for the first 400 messages and $20 for each additional text message. To find out how many text messages she sent in September, we need to determine the number of additional text messages she sent beyond the first 400. Let's assume she sent x additional text messages. The additional cost for these text messages would be 20 * x. We can set up an equation to solve for x:
$8 + 20x = $24
Subtracting $8 from both sides gives:
20x = $16
Dividing both sides by 20, we get:
x = $16 / 20 = 0.8
Since we cannot have a fraction of a text message, Julia must have sent 1 additional text message beyond the first 400. Therefore, she sent a total of 401 text messages in September.
2. What is 18.2 x 2.2
40.04
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How many solutions does this problem have? 3(y+41)=3y+123
Answer:
The answer is many solutions
Answer:
infinite
Step-by-step explanation:
3 x 41 = 132 so
3y +132 =3y +132
what is the GCF of 24 and 36
Answer: 12 is the CCF
Step-by-step explanation:
The factors of 24 are: 1,2,3,4,6,8,12,24
The factors of 36 are: 1,2,3,4,6,9,12,19,36
the greatest common factor (or common number) is therefore 12.
24=2x12
36=3x12
Answer:
12Step-by-step explanation:
Use the Prime Factorization:
24 = 2 · 2 · 2 · 3
36 = 2 · 2 · 3 · 3
GCF(24, 36) = 2 · 2 · 3 = 12
Select the correct answer.
Elizabeth is selling jam at a farmers market, and she earns $5.00 for each jar of jam that she sells. Her goal for the weekend is to earn at least $450.00, and she has already made $95.00 from jam sales as well as $24.00 from leading a demonstration. What is the minimum number of jars Elizabeth must sell at this point to reach her goal?
A.
60
B.
66
C.
67
D.
70
Answer:
Option C. 67
Step-by-step explanation:
Elizabeth is selling jam at a farmers market, and she earns $5.00 for each jar of jam that she sells.
She has already made $95.00 from jam sales and $24.00 from leading a demonstration.
She has made money = 95 + 24 = $119.00
Her goal for the weekend is to earn at least $450.00
Now She is away from her goal = 450 - 119 = $331
To achieve the goal she has to sell the number of jar of jam = [tex]\frac{331}{5}[/tex]
= $66.2
To make at least $450 she must sell 67 jars of jam.
The required minimum number of jars must sell by Elizabeth at this point of time to reach her goal is given by option b. 66.
To find out how many jars Elizabeth needs to sell to reach her goal,
Need to subtract the amount she has already earned from her goal.
Goal earnings: $450.00
Already earned from jam sales: $95.00
Earned from demonstration: $24.00
Total earnings so far: $95.00 + $24.00 = $119.00
Remaining earnings needed to reach the goal:
$450.00 - $119.00 = $331.00
Since Elizabeth earns $5.00 for each jar of jam sold,
determine the minimum number of jars she needs to sell by dividing the remaining earnings needed by the earnings per jar:
Number of jars needed = Remaining earnings / Earnings per jar
Number of jars needed = $331.00 / $5.00 ≈ 66.2
Nearest integer value to 66.2 is 66.
Therefore, as Elizabeth can't sell a fraction of a jar she needs to sell minimum number of 66 jars to reach her goal , the correct answer is option b. 66
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What is the coefficient of b in the expression b + 10? Explain.
Answer:
The coefficient of b is 1
Step-by-step explanation:
we know that
In a mathematical equation, a coefficient is a constant by which a variable is multiplied
so
A coefficient is a constant multiplied by a variable.
In this problem we have
b+10
Rewrite'
b+10=(1)b+10
therefore
The coefficient of b is 1
what is the simplified form of the following expression? 3 sqrt 4x/5
Final answer:
The simplified form of the expression [tex]3 \sqrt(4x/5) \ is\ 6 \sqrt(5x) / 5[/tex]after performing the square root separately on the numerator and denominator, and then rationalizing the denominator.
Explanation:
The expression given is [tex]3 \sqrt(4x/5)[/tex]. To simplify this expression, we observe that the square root of 4 is a perfect square and equals 2. The square root of the fraction can be taken by applying the square root to the numerator and the denominator separately. Therefore, we have:
[tex]3 \times \sqrt(4) \times \sqrt(x) / \sqrt(5)[/tex]
Upon simplifying, we get:
[tex]3 \times 2 \times \sqrt(x) / \sqrt(5)[/tex]
This simplifies further to:
[tex]6 \sqrt(x) / \sqrt(5)[/tex]
However, it's not common to leave a square root in the denominator, so we can multiply both the numerator and the denominator by sqrt(5) to rationalize the denominator.
The final simplified form is:
[tex]6 \sqrt(5x) / 5[/tex]
what is the answer to 5 over 35 simplalifying
Answer:
1/7
Step-by-step explanation:
Divide each number by 5.
5/5=1
35/5=7
Answer:
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 5 and 35 is 5
Divide both the numerator and denominator by the GCD
5 ÷ 5
35 ÷ 5
Reduced fraction:
1
7
43tens×3tens=how many hundreds
Answer:
129 hundreds
Step-by-step explanation:
a ^-4 / a ^-6 please simplify and show your work if possible <:D
[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{a^{-4}}{a^{-6}}\implies a^{-4}\cdot a^6\implies a^{-4+6}\implies a^2[/tex]
How do cows buy gifts
Answer:they dont
Step-by-step explanation: