Answer:
x=5
Step-by-step explanation:
2(x + 8) = x + 21
Distribute
2x+16 = x+21
Subtract x from each side
2x-x +16 = x-x+21
x +16 = 21
Subtract 16 from each side
x+16-16 =21-16
x =5
Maura can buy daffodil bulbs in packages of 3 for $5.37 or in packages of 2 for $4.52. How much money does she save by buying 30 bulbs at the better price?
Final answer:
Maura saves $14.10 by purchasing 30 daffodil bulbs in the more economical 3-bulb packages instead of the 2-bulb packages.
Explanation:
To determine how much Maura saves by buying 30 daffodil bulbs at the better price, we first need to calculate the price per bulb for each package option and then find the total cost for 30 bulbs. Let's compare the two package options:
Package of 3 bulbs for $5.37: The price per bulb is $5.37 / 3 = $1.79 per bulb.Package of 2 bulbs for $4.52: The price per bulb is $4.52 / 2 = $2.26 per bulb.The package of 3 bulbs has a better price per bulb than the package of 2 bulbs. To buy 30 bulbs at the better price, Maura would need 10 packages of 3 bulbs, which will cost:
10 packages × $5.37 per package = $53.70
Now let's calculate how much it would cost if she bought the 2-bulb packages:
Since 30 is an odd number, Maura would need to buy 15 packages of 2 bulbs to get 30 bulbs. This will cost:
15 packages × $4.52 per package = $67.80
Maura saves by purchasing the 30 bulbs in 3-bulb packages:
$67.80 - $53.70 = $14.10
Therefore, Maura saves $14.10 by purchasing the 30 bulbs in the more economical 3-bulb packages.
A p-value is the a. probability, when the null hypothesis is true, of obtaining a sample result that is at least as unlikely as what is observed b. value of the test statistic c. probability of a Type II error d. probability corresponding to the critical value(s) in a hypothesis test
Answer:
a. probability, when the null hypothesis is true, of obtaining a sample result that is at least as unlikely as what is observed
Step-by-step explanation:
In Statistics, a p-value also known as the probability value is the probability, when the null hypothesis is true, of obtaining a sample result that is at least as unlikely as what is observed.
The p-values can be calculated by using spreadsheets, statistical software and p-value tables and is widely used in research fields such as economics, physics, sociology, accounting etc.
The p-value can be mathematically expressed as a function of the null hypothesis, H and the random variable, X.
Of the last 230 new hires at a company, 220 had college degrees and 140 had prior experience. Only 10 new hires had prior experience without a college degree. What is the approximate probability that a new hire has a college degree but no experience?
Answer:
Step-by-step explanation:LOOK IN PG 1 OF PDF 3 QUESTION.
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The required probability is 9/23
What is probability?Probability is the chance of happening of an event.Probability is always ≤ 1How to find the approximate probability that a new hire has a college degree but no experience?According to the problem,
Of the last 230 new hires at a company, 220 had college degrees 140 had prior experienceOnly 10 new hires had prior experience without a college degreeNumber of students with experience and a degree = ( 140 - 10 ) = 130
Number of students with only degree = (220 - 130) = 90
Probability that a new hire has a college degree but no experience = 90/230 = 9/23
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The population of a small town is given by the function p=35t+1450,where t is the number of years since 2015. What would the town's population be in 2020
Hi there! Hopefully this helps!
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Answer: The population is 1,625.
So the equation is:
p = 35t + 1,450.
t = the number of years since 2015.
2020 - 2015 = 5.
So now we are in 2020, which is 5 years ahead from 2015.
So: t = 5.
Now we need to rewrite the equation, then evaluate.
35(5) + 1,450 =
175 + 1,450 =
1,625Find a standardized test statistic and use the t-distribution to find the p-value and make a conclusion using a 5% significance level. Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.
Answer:
1 μ = M μ ≠ M 2
2 μ > M μ < M 1
3 μ < M μ > M 1
If we use a 5% significance level, the p-value of 0.165 is not less than α = 0.05 so we would not
reject H0 : pf = pm. T
find the value of y in the given triangle
Given:
In the given triangle,
With respect to y, Perpendicular = 10 cm and Base = 8 cm
To find the value of y.
Formula
By Trigonometric Ratio we get,
[tex]tan\theta = \frac{Perpendicular}{Base}[/tex]
Now,
Putting the values of perpendicular and base we get,
[tex]tan\theta = \frac{10}{8}[/tex]
or, [tex]\theta = tan^{-1} (\frac{10}{8})[/tex]
or, [tex]\theta = 51.34 ^\circ[/tex]
Rounding off to the nearest tenth, we have;
[tex]\theta = 51.3 ^\circ[/tex]
Hence,
The value of y is 51.3°.
Higher Order Thinking A recipe calls for
3 tablespoons of pineapple juice. A can of
pineapple juice is 12 fluid ounces. How many
teaspoons of juice are in the can?
In response to the question, we may say that As a result, the can expression contains 72 tablespoons of pineapple juice.
what is expression ?An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.
To begin, we must convert the provided measurements to the same unit.
2 tablespoons = 1 fluid ounce
3 teaspoons = 1 tablespoon
Thus, 12 fluid ounces of canned pineapple juice equals:
12 fluid ounces divided by 2 tablespoons per fluid ounce is 24 tablespoons
And because we need to know how much juice is in teaspoons, we can convert tablespoons to teaspoons by:
72 teaspoons = 24 tablespoons × 3 teaspoons/tablespoon
As a result, the can contains 72 tablespoons of pineapple juice.
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5.Find the domain of the following function:
y=x+2
__________
x^2 + 2x −8
Select the appropriate response:
A) x equals −4, 2
B) x cannot equal −4, 2
C)Not possible to solve
Answer:
(-∞,∞)
B) x cannot equal -4, 2
Step-by-step Explanation:
The function, y = x + 2, has a domain of (-∞,∞) because the equation will remain true no matter number you plug for x.
For the second question, x would be equal to -2 and 4. You can find this by factoring the equation. x² + 2x - 8 = (x - 2)(x + 4) Your answer should be B
Answer:
B) x cannot equal −4, 2
Step-by-step explanation:
x² + 2x - 8 = 0
When x = -4, 2
When the denominator becomes zero, function becomes undefined
A ladder that is 20 feet tall is leaning against a building.Samuel measures that the base of the ladder touches the ground 12 feet from the base of the building.How far from the ground does the top of the ladder touch the building?
Answer:
The distance from the ground to the top of the ladder the building is touched is 16 feet.
Step-by-step explanation:
Given:
A ladder that is 20 feet tall is leaning against a building.Samuel measures that the base of the ladder touches the ground 12 feet from the base of the building.
Now, to find the distance from base of the building to the top of the ladder where building is touched.
Here, to understand the situation below is the figure attached:
Now, to get the distance from the ground to the top of the ladder where the building is touched we use pythagorean theorem:
[tex]AB^2+BC^2=AC^2\\\\AB^2+12^2=20^2\\\\AB^2+144=400\\\\Subtracting\ both\ sides\ by\ 144\ we\ get:\\\\AB^2=256\\\\Using\ square\ root\ on\ both\ sides\ we\ get:\\\\AB=16\ feet.[/tex]
Therefore, the distance from the ground to the top of the ladder the building is touched is 16 feet.
The admission fee at an amusement park is $1.50 for children and $4.00 for adults. On a certain day, 2,000 people entered the park, and the admission fees that were collected totaled $4,750. How many children and how many adults were admitted
Answer:
In that day 1300 children and 700 adults were admitted.
Step-by-step explanation:
Since the people who enter the park are either adults or children, the sum of these two types of people must be equal to the total amount that entered the park. So we have:
children + adults = 2000
The total amount collected must be the sum of the people that entered the park multiplied by the ticket fee for each type. We have:
1.5*children + 4*adults = 4750
We now have two equations and two variables so we can solve the system.
children + adults = 2000 equation 1
1.5*children + 4*adults = 4750 equation 2
We can multiply the equation 1 by -1.5 and sum it with the equation 2 to solve for adults, we have:
-1.5*children - 1.5*adults = -3500
1.5*children + 4*adults = 4750
2.5*adults = 1750
adults = 1750/2.5 = 700
To solve for children we apply the found value for adults on the equation 1.
children + 700 = 2000
children = 2000 - 700 = 1300
In that day 1300 children and 700 adults were admitted.
Answer:
700 adults and 1300 children
Step-by-step explanation:
Let 'C' represent number of children
'A' represent number of adults
->If 2,000 people entered the park, the equation will be
C+A=2000
C=2000-A ->eq(1)
->$1.50 for children and $4.00 for adults.
$1.50C+$4.00A=$4,750
Substituting for C from above.
$1.50(2000-A)+$4.00A= $4,750
$3000-$1.50A+$4.00A=$4,750
$2.50A = $4,750 - $3000
$2.50A=$1750
A= 700
and for children:
eq(1)=>
C=2000-700
C= 1300
Thus, 700 adults and 1300 children were admitted.
(1 point) Suppose F⃗ (x,y)=⟨2y,−sin(y)⟩ and C is the circle of radius 3 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation r⃗ (t) for the circle C that starts at the point (3,0) and travels around the circle once counterclockwise for 0≤t≤2π.
Answer:
The required vector parametric equation is given as:
r(t) = <3cost, 3sint>
For 0 ≤ t ≤ 2π
Step-by-step explanation:
Given that
f(x, y) = <2y, -sin(y)>
Since C is a cirlce centered at the origin (0, 0), with radius r = 3, it takes the form
(x - 0)² + (y - 0)² = r²
Which is
x² + y² = 9
Because
cos²β + sin²β = 1
and we want to find a vector parametric equations r(t) for the circle C that starts at the point (3, 0), we can write
x = 3cosβ
y = 3sinβ
So that
x² + y² = 3²cos²β + 3²sin²β
= 9(cos²β + sin²β) = 9
That is
x² + y² = 9
The vector parametric equation r(t) is therefore given as
r(t) = <x(t), y(t)>
= <3cost, 3sint>
For 0 ≤ t ≤ 2π
The vector parametric equation for the circle C that starts at the point (3,0) and travels around the circle once counterclockwise for 0≤t≤2π is:
[tex]r(t) = <3cost, 3sint>[/tex]
We have
[tex]f(x, y) = <2y, -sin(y)>[/tex]
As C is a circle centered at the origin (0, 0), with radius r = 3,
So, equation is:
[tex](x - 0)^2 + (y - 0)^2 = r^2[/tex]
[tex]x^2+ y^2 = 9[/tex]
As, cos²β + sin²β = 1
Take ,
x = 3cosβ
y = 3sinβ
Then
[tex]x^2 + y^2 = 3^2cos^2\beta + 3^2sin^2\beta\\= 9(cos^2\beta + sin^2\beta) \\= 9\\x^2 + y^2 = 9[/tex]
The vector parametric equation r(t) is therefore given as
[tex]r(t) = <x(t), y(t)>[/tex]
[tex]= <3cost, 3sint>[/tex]
For 0 ≤ t ≤ 2π
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In Mr. Harold's class there are 12 students. They each have 5 pencils. Some of the students, s, each lost 2 pencils. Now, the students only have a total of 38 pencils left. Which equation represents this situation?
A. s × 2 = 38
B. (12 × 5) - s = 38
C.(12 × 5) - (s × 2) = 38
D. (s × 2) - 12 = 38
Type an equation for the following pattern
Answer:
y = x + 2
Step-by-step explanation:
It looks like its adding 2 everytime.
y = x + 2
for what values of xis x + 2x = 24 true?
4 and -6
6 and 4
-tland 6
-6 and -4
Answer:
-6 and 4
Step-by-step explanation:
the explanation is in the picture
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A thanksgiving day promotion included $1 mail-in rebate for the purchase of a turkey wing at least 20 lb. Esther Robert purchased a 22-pound turkey for $1 and seventy-nine a pound. What did it cost for after rebate if an envelope cost $0.15 and a stamp cost $0.39?
Answer:
$38.92
Step-by-step explanation:
In this question, we are calculating the amount it would cost purchasing a turkey wing after giving some rebate.
Firstly, we calculate the cost of purchasing 22 pounds turkey
That would be 22 * $1.79 = $39.38
Now we subtract the cost of the rebate ;
That would be $39.38 -$1 = $38.38
Now, we add the envelope cost and the stamp cost
That would be $38.38 + $0.39 + $0.15 = $38.92
The final cost of the 22-pound turkey after accounting for the price per pound, mail-in rebate, and the costs of an envelope and stamp is $38.92.
Explanation:The cost of a 22-pound turkey at $1.79 per pound is calculated first, then subtract the $1 mail-in rebate, and finally add the costs of the envelope and the stamp required for the rebate.
First, find the total cost of the turkey without the rebate:
22 pounds × $1.79 per pound = $39.38Next, add the cost of the envelope and stamp:
Envelope: $0.15Stamp: $0.39Total for envelope and stamp: $0.15 + $0.39 = $0.54After receiving the rebate of $1, the final cost is calculated:
Total cost before rebate: $39.38Total cost for envelope and stamp: $0.54Cost after rebate: ($39.38 + $0.54) - $1 = $38.92Therefore, the final cost of the turkey after the rebate is $38.92.
17 POINTS WHOEVER ANSWERS THIS ASAP
Answer:
It's correct answer is A.
Answer:
A represents the connector of X and Y.
Step-by-step explanation:
BRAINLIEST AWARDED TO FIRST CORRECT ANSWER NEED ASAP! AND 20 POINTS!! The table shows the cost for taxi rides of various distances. Which graph displays the same function?
Answer:
b because it cost u more for a certain distance
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
I need help! Idk what the answer is.
A grocery store clerk put only packages of purple grapes and packages of green grapes on a shelf. The ratio of the number of packages of green grapes to the total number of packages on the shelf was 9 to 14. Which number could be the number of packages of purple grapes the clerk put on the shelf?
Answer:
The answer is 5, 10, 15, 20 or any positive multiples of 5
Step-by-step explanation:
Since the ratio of green grapes to the total number of grapes is 9:14 and there are only purple and green grapes on the shelf. It implies the total number of purple grapes to overall grapes is 5:14.
Since this ratio is already at it's lowest form, it implies the possible number of purple grapes are 5, 10, 15, 20 or any positive multiple of 5.
Kevin makes several cone-shaped candles. He uses a cone mold that has a height of 15 centimeters and a diameter of 10 centimeters. How much wax is needed to make 3 cone-shaped candles?
Answer:
1,177.5cm^3 of candle wax will be required.
Step-by-step explanation:
The attached files contain further information so please check them.
Find the balance in an account after 8 years if $500 is invested at 7% interest compounded annually
Answer: 280
Step-by-step explanation:
??/500=7/100
7x500/100
35/500=7/100
35x8=280
I think this is the answer.
Answer:
$859.09
Step-by-step explanation:
People use water to cook, clean, and drink every day. An estimate of 26.5% of the water used each day is for cleaning. If a family uses 68.9 gallons of water a day for cleaning, how many gallons do they use every day?
Final answer:
To find the total daily water usage of the family, divide the amount of water they use for cleaning, 68.9 gallons, by the percentage of their total usage that goes to cleaning, which is 26.5%. The result is that the family uses about 260 gallons of water every day.
Explanation:
To calculate how many gallons of water the family uses every day, we need to establish the total daily water usage based on the percentage used for cleaning.
Since we know that 26.5% of their total water usage is allocated for cleaning, and they use 68.9 gallons for this purpose, we can find the total daily usage with a simple division:
Total daily water usage = Water used for cleaning / Percentage used for cleaning Total daily water usage = 68.9 gallons / 0.265 Total daily water usage = 260 gallons (rounded to the nearest whole number)
Thus, the family uses approximately 260 gallons of water per day for all their needs, including cooking, cleaning, and drinking.
Final answer:
To find out how many gallons a family uses every day, set up a proportion to find the total amount of water used for cleaning and solve for x. The family uses approximately 259.62 gallons of water every day.
Explanation:
To find out how many gallons a family uses every day, we need to determine the total amount of water used for cleaning. The question states that 26.5% of the water used each day is for cleaning, and the family uses 68.9 gallons for cleaning. We can set up a proportion to find the total amount of water used:
26.5% / 100% = 68.9 / x
Now we can solve for x by cross multiplying:
26.5x = 68.9 * 100
Dividing both sides of the equation by 26.5, we find that x is approximately 259.62.
Therefore, the family uses approximately 259.62 gallons of water every day.
The volume of the oblique cylinder is 24 ft^3. Which statements are true? Check all that apply.
-The height of the cylinder is 3.4 ft
-Diameter is about 4.5 ft
-Diameter is about 3 ft
-Radius is about 6 ft
-A right cylinder with the same height and radius of this oblique cylinder would also have a volume of 24 feet cubed
Answer:
The correct options are 1, 3, and 5
Step-by-step explanation:
John is driving around town. When he reaches the gas station, he notes that he has traveled 10 miles. He reaches home 2 hours later and notes that he has traveled 30 miles.
If d represents the distance and t represents the time, in hours, John has traveled since the gas station, which of the following equations can be used to model this situation?
A. d = 10t - 10
B. d=20 + 10 t
C. d= 10t + 10
D. d= 10t + 40
Answer:
C. d = 10t + 10
Step-by-step explanation:
If d represents the distance, you know that the equation on the other side has to have +10 included in it because this was stated in the problem (he has traveled 10 miles). C is the only option with +10, but if you'd like a further explanation on the 10t part... by the end of his trip, he has traveled 30 miles total. Subtract the 10 he initially traveled before arriving at the gas station, and he has traveled 20 miles in two hours. 20 (miles) / 2 (hours) = 10, so after the gas station, he traveled at an average speed of 10 mph. We now know that he traveled 10 miles, plus another 10 miles for every additional hour (t) he travels after that. This gives us d = 10t + 10.
A random sample of 64 students at a university showed an average age of 25 years and a sample standard deviation of 2 years. The 98% confidence interval for the true average age of all students in the university is:________
a. 20.0 to 30.0
b. 20.5 to 26.5
c. 23.0 to 27.0
d. 24.4 to 25.6
Answer:
The correct option is;
d. 24.2 to 25.6
Step-by-step explanation:
Here we have a sample with unknown population standard deviation, we therefore apply the student t distribution at 64 - 1 degrees of freedom
Therefore, we have
[tex]CI=\bar{x}\pm t\frac{s}{\sqrt{n}}[/tex]
Where:
[tex]\bar x[/tex] = Mean = 25
σ = Standard deviation = 2
n = Sample size = 64
t = T value at 98% = [tex]\pm 2.387[/tex]
Which gives
[tex]CI=25\pm t_{63}\frac{2}{\sqrt{64}}[/tex]
That is the value is from
24.40325 to 25.59675 which gives,by rounding to one decimal place, is
24.4 to 25.6.
The 98% confidence interval for the true average age of all students at the university, given a sample mean age of 25, standard deviation of 2, and a sample size of 64, is approximately option (d) 24.4 to 25.6 years.
The 98% confidence interval for the true average age of all students in the university can be calculated using the sample mean, the sample standard deviation, and the size of the sample. Since the population standard deviation is unknown and the sample size is less than 30, we use the t-distribution to find the critical value (t).
First, we find the t-score corresponding to a 98% confidence level with 63 degrees of freedom (n-1 = 64-1). Using a t-distribution table or calculator, the t-score is approximately 2.390.
Next, we calculate the margin of error (ME) using the formula:
ME = t * (s/√n)
where s is the sample standard deviation and n is the sample size. Plugging in our numbers:
ME = 2.390 * (2/√64) = 0.5975
Finally, we add and subtract this margin of error from the sample mean to find the confidence interval:
CI = mean ± ME
CI = 25 ± 0.5975
CI = (25 - 0.5975, 25 + 0.5975)
CI = (24.4025, 25.5975)
Therefore, the 98% confidence interval for the true average age is approximately 24.4 to 25.6 years.
A zookeeper created the following stem-and-leaf plot showing the number of sloths at each major zoo in the country:
∣
0
1
2
3
4
∣
3
6
7
7
0
4
0
1
1
2
4
7
9
9
1
2
3
5
7
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
00
10
20
30
40
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
3
6
0
0
1
0
7
4
1
2
7
0
1
3
0
2
5
4
7
7
0
9
9
0
Key:
4
∣
1
=
41
4∣1=414, vertical bar, 1, equals, 41 sloths
How many zoos have exactly
17
1717 sloths?
By interpreting the stem-and-leaf plot, it is found that no zoos have exactly 17 sloths.
Explanation:In the stem-and-leaf plot, we locate the stem which corresponds to the number '1', and then we check the corresponding leaves. In this case, the appropriate stem is '1' and the leaves under this stem correspond to the tens place of the number of sloths. So, now we check the leaf '7' under stem '1'. Seeing the 7 in the ones place next to the stem of 1, we find that there is no such instance in the plot. Therefore, we can conclude that no zoos have exactly 17 sloths.
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Stem-and-leaf plots represent numerical data in statistics. The analysis of the provided stem-and-leaf plot reveals that 2 zoos have exactly 17 sloths.
Stem-and-leaf plots are used in statistics to represent numerical data. Each observation is divided into a stem (leading digit(s)) and a leaf (final significant digit). In the given plot, if a zoo has exactly 17 sloths, then the stem is 1 and the leaf is 7. By looking at the plot, it can be observed that there are 2 zoos with exactly 17 sloths.
here is the full question- A zookeeper created the following stem-and-leaf plot showing the number of sloths at each major zoo in the country:
0 3
1 6 7 7
2 0 4
3 0 1 1 2 4 7 9 9
4 1 2 3 5 7
Key: 4|1=41 sloths How many zoos have exactly 17 sloths? x=frac =frac (-)²(-)² 2005.
How many times did the team score 6 runs? Line plots and Histogram
Answer:
If you're asking about which graph would be better, you can show it by a histogram best.
Step-by-step explanation:
Sorry if this is not your question if not I misunderstood, but a line graph is to measure the changes between data, while histograms measure a single measurement for each subject matter. So the best graph to display this info would be through a histogram
Write all functions that are symmetric about the y-axis. Choose from the following six circular functions. yequals=sine xsinx, y equals=cosine xcosx, y equals=tangent xtanx, yequals=cotangent xcotx, y equals=secant xsecx, and yequals=cosecant x
Answer:
Hence the function only :
Secx and Cosx functions are symmetric about y-axis
And remaining functions are not symmetric about y-axis.
Step-by-step explanation:
Given:
Six circular function as :
y= sinx ,y=cosx , y=tanx, y= cotx ,y=secx y=cosecx
To Find:
Which functions are symmetric about the y-axis
Solution:
The function is said to be symmetric about the y-axis is given by
f(x)=f(-x)
Now
1)For y=sinx i.e. f(x)=sinx
So put x=-x
f(-x)=sin(-x)
=-sinx
Hence f(x)≠f(-x)
This function is not symmetric about y-axis
2)For y=cosx ,i.e. f(x)=cosx
put x=-x
f(-x)=cos(-x)...............(as value for x and -x cos value remain the same )
=cosx
hence f(x)=f(-x)
This function is symmetric to the y-axis
3)For y=tanx i.e f(x)=tanx
put x=-x
f(-x)=tan(-x)
=-tanx
Hence f(x)≠f(-x)
This function is not symmetric about y-axis
4)For y=cotx i.e. f(x)=cotx
Using above observation,
f(x)≠f(-x)
This is not symmetric about y-axis
5)For y=secx i.e f(x)=secx
f(x)=f(-x)
This function is symmetric about y-axis.
6) for y=cosecx
f(x)≠f(-x)
This function is not symmetric about y-axis
Autumn creates bracelets as a hobby and is planning to start selling them online for $10 per bracelet. Autumn has already sold 5 custom bracelets. Her bracelets are so popular that she expects to sell every bracelet that she makes. Write an equation for the amount of money Autumn makes. If Autumn makes and additional 24 bracelets, how much money will she make?
Answer:
(24*10)+50=290
Step-by-step explanation:
a) The equation for the amount of money Autumn makes is y = 10x , where x is the number of bracelets she sells and y is the total amount
b) The amount Autumn makes is $ 290
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
a)
Let the number of bracelets Autumn sells be = x
Let the cost of one bracelet be = $ 10
Now , the equation will be
So , the cost of x number of bracelets y = number of bracelets x cost of one bracelet
The cost of x number of bracelets y = 10x
So , the equation is y = 10x
b)
The equation is y = 10x
The cost of 5 bracelets = 10 x 5
= $ 50
Now , the cost of 24 bracelets = 24 x 10
= $ 240
So , the total amount Autumn makes = cost of 5 bracelets + cost of 24 bracelets
The total amount Autumn makes = 240 + 50
= $ 290
Hence ,
a) The equation for the amount of money Autumn makes is y = 10x , where x is the number of bracelets she sells and y is the total amount
b) The amount Autumn makes is $ 290
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Monkey at the zoo eat 4 cups of food every day elephants eat 76 times as much which equation and solution represent the number of cups of food elephants eat per day ?
Answer:
X = 76*4
= 304 cups of food
Step-by-step explanation:
Given:
Monkey eat 4 cups of food / day Elephants eat 76 times as much as Monkey does / daySo Let X is the number of cups of food that elephants eat per day, we have the equation:
X = 76*4
= 304 cups of food
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