Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is s4. There is also a single shipping charge of $2. How many books can he afford without spending more than his gift voucher amount?
General Idea:
When we are working with word problems, we need to follow the below steps:
Step 1: Assign variable for the unknown that we need to find.
Step 2: Write a meaningful mathematical equation using the sentence given
Step 3: Solve the equation by Performing reverse operation by Undoing whatever is done to the variable. Solving means find the value of the variable which will make the equation TRUE.
Applying the concept:
Step 1: Let x be the number of books that Brett can afford without spending more than his gift voucher amount.
Step 2: Writing mathematical equation based on the given sentence "Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2"
[tex] Online \; Gift \; Voucher=Number \; of \; books \; \times \; Cost\;per \; Book \; + \; Single \; shipping \; charge [/tex]
[tex] 30=4x+2 [/tex]
Step 3: Solving equation
[tex] 4x+2=30\\ Subtract \; 2 \; on \; both \; sides\\ \\ 4x+2-2=30-2\\ Combine \; like \; terms\\ \\ 4x=28\\ Divide \; 4 \; on \; both \; sides\\ \\ \frac{4x}{4}= \frac{28}{4} \\ Simplifying \; fraction \; on \; both \; sides\\ \\ x=7 [/tex]
Conclusion:
The number of books that Brett can afford without spending more than his gift voucher amount is 7 !!
I'm confused about this question, can someone help me
Jeremy is making a cube using blocks. The cube is solid and has no holes. How many cubes did Jeremy use? A. 125 B. 75 C. 25 D. 15
sally purchased a rectangular table for her drawing room. The sides of the table are 24 inches and 18 inches. What is the diagonal length of the table?
HELP FOR BRAINLIEST
Is 100 a reasonable estimate 915.25 divided by 88.22
The reasonable estimate is 10.
We can approximate 915.25 to 900.
We can approximate 88.22 to 90.
Then we divide them: [tex]\frac{915.25}{88.22}\approx\frac{900}{90}=10[/tex].
So the reasonable estimate is 10.
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100 is not a reasonable estimate for the operation 915.25 divided by 88.22, as the actual answer is approximately 10.37. While estimates don't provide exact numbers, the difference here is too great for 100 to be considered reasonable, depending on the level of accuracy needed.
Explanation:In mathematics, estimation is commonly used when you do not need the exact answer, but rather a ballpark number close to the actual value. The student's question revolves around whether 100 is a reasonable estimate for the operation 915.25 divided by 88.22. We can check this by performing the actual division: 915.25 / 88.22 equals approximately 10.37. Although this is not exactly 100, it is within an order of magnitude which might make the estimate reasonable depending on the context. Therefore, as a quick estimate, 100 might not be suitable for high-precision contexts.
It's important to understand how estimates work. Their value is not in providing exact numbers, but in giving a quick understanding of a situation, especially when the exact numbers are complex or cumbersome. Here, however, the difference between the actual result (10.37) and the estimate (100) is quite significant, which suggests that 100 might not be a reasonable estimate in this case, depending on the level of accuracy needed.
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Which property changes when a figure is reflected across a line?
When a figure is reflected across a line the orientation of the figure or shape changes when it is a reflected across a line. Also, the x-coordinate and y-coordinate change places
What is reflection?
A reflection is a mirror image of the shape.
What is Coordinate system?In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space
Given,
A figure is reflected across a line
The orientation of the figure or shape changes when it is a reflected across a line
Also, the x-coordinate and y-coordinate change places
Hence, When a figure is reflected across a line the orientation of the figure or shape changes when it is a reflected across a line. Also, the x-coordinate and y-coordinate change places
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The orientation of a figure changes when it is reflected across a line while its shape and size stay consistent, creating a mirror image with symmetry relative to the line of reflection.
When a figure is reflected across a line, its orientation changes, whereas the shape and size of the figure remain the same. The Law of Reflection implies that each point of the figure maintains its distance from the line of reflection but on the opposite side, creating a 'mirror image' or symmetric counterpart. This mirror image aligns with the original figure if an imaginary line were drawn perpendicular to the mirror (line of reflection) at each point, these perpendiculars would be equal in length on both sides. This reflection transformation is an example of a linear transformation, preserving the straightness of lines and parallelism of parallel lines.
Will mark brainliest and 20 points
How many 1-inch cubes do you need to create a cube with an edge length of 7 inches?
The store is 7⁄8 of a mile away from your house. You walked 1⁄5 of a mile towards the store before getting on the bus. If the bus went directly to the store, how many miles long was the bus ride?
27/40 miles long was the bus ride.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
The store is 7⁄8 of a mile away from your house.
Distance covered by Walking = 1/5
and, the rest is covered by Bus.
So, the distance covered by Bus
= 7/8- 1/5
= 35/ 40- 8/40
= 27/40
Hence, 27/40 miles covered by Bus.
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Given that 2x - 3y = 8 and 4x + 3y = -2, what is the product of x and y?
Please answer I give out Brainliest, I thank, and I give out stars!
Estella buys 1.8 pounds of walnuts for a total of $5.04. She solves the equation 1.8p=5.04 to find the price p in dollars of one pound of walnuts. what does one pound of walnuts cost?
1.8p = 5.04
p = 5.04/1.8
p = 2.8
it cost $2.80 per pound
Estella buys 1.8 pounds of walnuts for a total of $5.04. She solves the equation 1.8p=5.04 to find the price p in dollars of one pound of walnuts. what does one pound of walnuts cost?
Solution: Let the cost of one pound of walnuts= $p
So, The cost of 1.8 pound of walnuts=$1.8p
Whereas, The cost of 1.8 pound of walnuts=$5.04
So, 1.8p=5.04
Now, To solve for p, Let us isolate p
To isolate p, Let us divide by 1.8 on both sides
[tex] \frac{1.8}{1.8} p=\frac{5.04}{1.8} [/tex]
On dividing 5.04 by 1.8, we get 2.8
[tex] \frac{1}{1} p=\frac{2.8}{1} [/tex]
So, p=2.8
Cost of one pound walnuts is $2.80
A recipe for cookies calls for 3 1/4 cups of sugar. Amy already put in 3 1/9 cups. How many more cups does she need to put in
A scale drawing of a billboard uses the scale 4cm:9 ft. The length of the billboard in the drawing is 11 cm. How long is the actual billboard
The length of the actual billboard is 24.75 ft.
What is Scale Factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure.
Given:
Scale: 4cm : 9 ft
So, 1 cm = 9/4 ft
Then, length = 11cm
= 11 x 9/4
= 99/4
= 24.75 ft
Hence, the length is 24.75 feet.
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Deb has of a brownie. She wants to divide it up into 's of a brownie so she can have it throughout the day. How many 's will she have?
She can enjoy her original 3/4 brownie divided into six equal parts, each constituting 1/8 of the delectable treat.
Deb possesses 3/4 of a brownie and intends to partition it into smaller portions, each equivalent to 1/8 of a brownie, allowing her to savor it throughout the day.
To determine the number of 1/8 portions she'll obtain, we can perform a simple division.
By dividing 3/4 by 1/8, we essentially multiply the numerator of 3/4 by the reciprocal of 1/8, which is 8/1.
This multiplication yields (3 * 8) / (4 * 1) = 24/4.
Simplifying further, we find that Deb will have 6 portions of 1/8 of a brownie.
Consequently, she can enjoy her original 3/4 brownie divided into six equal parts, each constituting 1/8 of the delectable treat.
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Question
Deb has 3/4 of a brownie. She wants to divide it up into 1/8 of a brownie so she can have it throughout the day. How many 1/8s will she have's will she have?
this is algabra 1 i need 7,13, and 14
Chad has a rope that is 20 yards long. How many pieces of rope measuring 4/7 of a yard can he divide his rope into?
Answer:
[tex]35\ pieces[/tex]
Step-by-step explanation:
we know that
To find the number of pieces of rope 4/7 of a yard, divide the total length of the rope by 4/7
we have that
The total length of the rope is 20 yards
so
[tex]\frac{20}{(4/7)}=\frac{20*7}{4}=35\ pieces[/tex]
Answer:
28 is the answer
Step-by-step explanation:
Can u guys help me with the visual question please
Simplify the expression. 5x + 1 - 18
Kim paycheck was 257.20. She put 1/4 of her paycheck into a savings account and used 1/3 of what was left to pay bills.How much money does she have remaining from her paycheck
Walt received a package that is 2 1/3 inches long, 6 3/4 inches high, and 8 1/2 inches wide. What is the surface area of the package?
Answer : The surface area of the package is, [tex]185.9inch^3[/tex]
Step-by-step explanation :
The given package is in cuboid shape. Now we have to calculate the surface area of the package by using volume of cuboid.
Formula used for volume of cuboid is:
[tex]V=2(lb+bh+hl)[/tex]
where,
V = volume of package
l = length of package = [tex]2\frac{1}{3}inch=\frac{7}{3}inch[/tex]
b = width of package = [tex]8\frac{1}{2}inch=\frac{17}{2}inch[/tex]
h = height of package = [tex]6\frac{3}{4}inch=\frac{27}{4}inch[/tex]
Now put all the given values in the above formula, we get:
[tex]V=2\times [(\frac{7}{3}\times \frac{17}{2})+(\frac{17}{2}\times \frac{27}{4})+(\frac{27}{4}\times \frac{7}{3})][/tex]
[tex]V=2\times [\frac{119}{6}+\frac{459}{8}+\frac{63}{4}][/tex]
[tex]V=185.9inch^3[/tex]
Therefore, the surface area of the package is, [tex]185.9inch^3[/tex]
Choose the correct simplification of the expression a^7b^8/a^4b^4
A: a^11b^12
B: a^3b^4
C: 1/a^3b^4
D: 1/a^3b^2
if the least value the variable k can be is 12,which of the following inequalities best shows all the possible values of k
Answer:
Its K ≥ 12
Step-by-step explanation:
Hope this helps! Have a good day!:) and happy St. Patrick's day lol
Simplify the expression. Show each step.
–5 × 1 × 11 × 4.
Betty is participating in a walk a thon. For every .25 miles she walks, she earns a donation. Betty walks 2.50 miles. How many donations did she earn?
If James can swim 10 laps in 23 minutes, what would be his expected time for 15 laps?
Sean is raising funds for an event at his school. He has collected $25 each from x people, and he is still $100 short of his goal.
The expression that gives his goal is
Amir is operating a machine that adds sand to a concrete mixture. The machine adds 110 ton of sand to the mixture in 45 minute. Enter a number in each box to complete the statements. Write the ratio that compares 110 ton of sand to 45 minute. The ratio in ton(s) per minute(s) is $$ .
A new car is purchased for 20300 dollars. The value of the car depreciates at 8.75% per year. What will the value of the car be, to the nearest cent, after 12 years?
Answer:
$6,765.35.Step-by-step explanation:
Here we have to use the rate of depreciation, the initial value and the total time to find the final value with this formula
[tex]A=A_{0}(1-r)^{t}[/tex]
Where [tex]A[/tex] is the final value, [tex]A_{0}[/tex] is the initial value, [tex]r[/tex] is the rate of depreciation and [tex]t[/tex] is the time.
Replacing all values, we have
[tex]A=20300(1-0.0875)^{12}[/tex]
[tex]A=6765.35[/tex]
Therefore, after 12 years the car will value $6,765.35.
Ms.Gibson made an initial deposit of $500 when opening a bank account. After the initial deposit, she deposited the same amount of money each month. The table below shows the total amount of money, a, she deposited into the account after a certain number of months, t, since opening it. Write an equation to model the relationshipbetween t and a.
To model the relationship between the number of months, t, since opening the bank account and the total amount of money, a, deposited into the account, we can use the equation a = 500 + 500t.
Explanation:To model the relationship between the number of months, t, since opening the bank account and the total amount of money, a, deposited into the account, we need to find the pattern. According to the information given, Ms. Gibson made an initial deposit of $500 and then deposited the same amount each month. This means that the total amount of money, a, deposited after a certain number of months, t, can be represented by the equation:
a = 500 + 500t
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Cereal is packaged in a box shaped like a rectangular prism with a base 7.5 inches by 2 inches and a height of 10 inches. Manufacturing each box requires 10% more cardboard than the box's surface area. How much cardboard is needed to make each box?
Answer: 1032
Step-by-step explanation: you welcome
simplify the radical expression square root of 64y^10h^5/16y^12h^5
After the simplification of the given radial expression [tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex] we get [tex]\frac{2}{y}[/tex].
What is radical expression?
A radical expression is defined as any expression containing a radical ([tex]\sqrt{}[/tex]) symbol.
The term underneath the radical symbol is called the radicand.
How to solve radical expression?To solve a radical expression, simply take the the square root of the radicand.
According to the given question, we have a radical expression
[tex]\sqrt{\frac{64y^{10}h^{5} }{16y^{12} h^{5} } }[/tex]
=[tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex] ([tex]\frac{x^{m} }{x^{n} } =x^{m-n}[/tex])
= [tex]\sqrt{4(\frac{1}{y^{2} })(1) }[/tex]
= [tex]\sqrt{\frac{4}{y^{2} } }[/tex]
= [tex]\frac{2}{y}[/tex]
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