Answer:
120$ altogether
Step-by-step explanation:
There are 8 teachers and they have to pay 15 dollars so do
8×15=120
or
15+15+15+15+15+15+15+15=120
Xan will cover some of this box in wrapping paper. He plans to leave one of the largest faces uncovered.
12 cm
10 cm
11 cm
How much wrapping paper will Xan need?
592 square cm
614 square cm
724 square cm
808 square cm
Final answer:
To find the wrapping paper needed for a box with given dimensions and one largest face uncovered, calculate the total surface area, subtract the area of the largest face, resulting in 592 square cm of wrapping paper required.
Explanation:
The question concerns calculating the amount of wrapping paper required to cover a box while leaving one of the largest faces uncovered. Given the dimensions of the box are 12 cm, 10 cm, and 11 cm, we can calculate the surface area of each face and sum them up, excluding one of the largest face, which is one with dimensions 12 cm x 11 cm.
First, calculate the surface area of all the faces: 2(12cm x 10cm) + 2(12cm x 11cm) + 2(10cm x 11cm) = 240cm² + 264cm² + 220cm² = 724cm².Next, subtract the area of the largest face (which will not be covered): 12cm x 11cm = 132cm².Finally, subtract this area from the total surface area calculated: 724cm² - 132cm² = 592cm².Therefore, Xan will need 592 square cm of wrapping paper to cover the box while leaving one of the largest faces uncovered.
Which letter represents the point (4, -5)?
P
Q
R
S
(4v3 + 3v - 8v4) + (4V - 8v4 - 7)
Answer:
-21v-7
Step-by-step explanation:
1st remove parentheses: 4v*3+3v-8v*4+4v-8v-7
2nd Add similar elements: 3v+4v-8v= -v
=4*3v-v-8*4v-7
3rd Multiply the numbers: 4*3=12
12v-v-8*4v-7
4th Multiply the numbers: 8*4=32
=12v-v-32v-7
5th Add similar elements: 12v-v-32v=-21v
= -21v-7
Suppose your teacher offers to give the whole class a bonus if everyone passes the next math test. The teacher
says she will 1)give a 10-point bonus and (2) increase everyone's grade by 9% of their score. a. Let x represent the original test scores.Write statements (1) and (2) as the functions f (x) and g(x) respectively.b. Explain the meaning of f(g(x)). Evaluate f(g(75)).c. Explain the meaning of g (f(x)). Evaluate g (f(75)). d. Does g(f(x))=f(g(x)).
Answer:
See explanation
Step-by-step explanation:
A. Let x represent the original test scores.
(1) The teacher will give a 10-point bonus, then the score will be x + 10. Hence,
[tex]f(x)=x+10[/tex]
(2) The teacher will increase everyone's grade by 9% of their score, then the score will be x + 0.09x = 1.09x. Hence,
[tex]g(x)=1.09x[/tex]
B. If [tex]f(x)=x+10[/tex] and [tex]g(x)=1.09x,[/tex] then
[tex]f(g(x))=g(x)+10=1.09x+10[/tex]
Meaning: the teacher increased by 9% the score and then increased the result by 10 points.
[tex]f(g(75))=1.09\cdot 75+10=91.75[/tex]
C. If [tex]f(x)=x+10[/tex] and [tex]g(x)=1.09x,[/tex] then
[tex]g(f(x))=1.09f(x)=1.09(x+10)[/tex]
Meaning: the teacher increased by 10 points the score and then increased the result by 9%.
[tex]g(f(75))=1.09(75+10)=92.65[/tex]
D. [tex]g(f(x))\neq f(g(x))[/tex] because [tex]1.09(x+10)\neq 1.09x+10[/tex]
PLSSSS HELPPPP.
A mason will lay rows of bricks to build a wall. The mason will spread 3/8
inch of mortar on top of all but the last row of bricks. The finished wall will be 1/8
inches less than 4 feet high. Answer parts a and b below.
The mason wants to lay the bricks so that the shortest edge of each brick is vertical. How many rows of bricks are needed? Show your work.
Let b equal the number of rows of bricks. The total height of the bricks in inches is equal to _______ times _______
The total height of the mortar is equal to ______ times ______
Their sum is equal to the height of the wall or ______ inches.
If I write this as an equation and solve for b, then the result is ______ of bricks
Answer:
a) 18 rows of bricks are needed
b) 2.25 times b
0.375 times (b - 1)
46.875 inches
18 rows
Step-by-step explanation:
* Lets explain how to solve the problem
a)
- The height of each brick is the shortest edge
- The shortest age is 2 1/4 inch ⇒ (2.25 inches)
- If b is the number of the rows of bricks
∴ The height of the bricks = 2.35 × b
- The height of the mortar is 3/8 inches ⇒ (0.375 inch)
- All rows of bricks covered by mortar on top except the last row
- The height of mortar = 0.375 × (b - 1)
- The height of the wall is 1 1/8 (1.125) inches less than 4 feet
∵ 1 foot = 12 inches
∵ 4 feet = 12 × 4 = 48 inches
∴ The height of the wall = 48 - 1.125 = 46.875 inches
- The sum of the total height of bricks and the total height of mortar
is equal to the height of the wall
∴ 2.25 b + 0.375(b - 1) = 46.875
- By simplify it
∴ 2.25 b + 0.375 b - 0.375 = 46.875
∴ 2.625 b - 0.375 = 46.875
- Add 0.375 for both sides
∴ 2.625 b = 47.25
- Divide both sides by 2.625
∴ b = 18
∴ 18 rows of bricks are needed
b)
* Lets complete the missing
- The total height of the bricks in inches is equal to 2.25 times b
- The total height of the mortar is equal to 0.375 times (b - 1)
- Their sum is equal to the height of the wall or 46.875 inches
- If I write this as an equation and solve for b, then the result is
18 rows of bricks
To find the number of rows of bricks needed for a wall, we can set up an equation to solve for that number. The equation will involve the heights of the bricks and mortar layers, as well as the height of the wall. Solving the equation will give us the number of rows of bricks needed.
Explanation:To find the number of rows of bricks needed, we need to determine the total height of the bricks and the total height of the mortar. Let b be the number of rows of bricks. The total height of the bricks in inches is equal to the height of each brick multiplied by the number of rows (b). The total height of the mortar is equal to the height of the mortar layer multiplied by the number of rows minus 1 (b-1). The sum of the heights of the bricks and mortar is equal to the height of the wall, which is 4 feet minus 1/8 inches.
Writing this information as an equation, we have:
(height of the bricks x b) + (height of the mortar x (b-1)) = 4 feet - 1/8 inches
Solving this equation for b will give us the number of rows of bricks needed.
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What fraction is equal to75% of 1/2
Answer:
3/8
Step-by-step explanation:
We can write 75% as a fraction, 75/100 and simplifying the fraction gives 3/4.
Then you have to multiply 1/2 * 3/4 which gives the result of 3/8.
Answer: 3/8
Step-by-step explanation:
First, I'm going to be using the 1/2 as .5
.5 x .75 = .375
.375 in fraction form is 375/1000
Simplified is 3/8.
a group of hikers find a fallen tree in a forest. he dead tree trunk is covered by mushrooms and other fungus. the apples are all rotten and decayed by bacteria. which statement best summarizes how these fungus and bacteria organisms are obtaining their food energy
Answer:
Step-by-step explanation:
Answer: D. The fungus and bacteria organisms are obtaining the energy they need by decomposing organic matter like dead trees and old apples.
Fungi is the primary decomposer of biological waste in forest ecosystem. Fungi grows on the branching network of hyphae which provide it more penetration potential towards the litter. Wood decaying fungi has enzymes required for decomposition of lignin, a chemical substance found in wood. Fungi decompose organic matter by releasing enzymes which breaks down the decaying matter, after that they absorb the nutrients in the decaying material. The left residue in the organic matter includes sugars and amino acids are degraded and decomposed by the bacteria.
Answer:
D) the fungus and bacteria organisms are obtaining the energy they need by decomposing organic matter like dead trees and old apples
Step-by-step explanation:
What is the equation that represents the line that passes through the point (2,6) and has a slope of -5?
Answer:
y = - 5x + 16
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 5, thus
y = - 5x + c ← is the partial equation of the line
To find c substitute (2, 6) into the partial equation
6 = - 10 + c ⇒ c = 6 + 10 = 16
y = - 5x + 16 ← equation of line
A cruise ship travels 20 miles in 50 minutes. How far does it travel in one minute?
Answer:
0.4 miles
Step-by-step explanation:
Answer:just do 50 divided by 20
Step-by-step explanation:
50 divided by 20
PLEASE HELP ITS EASY
The following table represents a relation. Identify the set of numbers that makes up the range in the relation.
x y
5 -3
4 0
2 1
4 2
-3 3
A. -3, 2, 4, 5
B. -3
C. 0, 1, 2, 3
D. -3, 0, 1, 2, 3
Final answer:
The range of a relation is the set of all possible y-values. For the given table, the range is -3, 0, 1, 2, and 3, which corresponds to answer D.
Explanation:
You're asking to identify the set of numbers that makes up the range in the given relation. The range of a relation refers to all the possible values of y that you can get when you input various values of x. For your table, the y-values are -3, 0, 1, 2, and 3. So, the range is the set of these y-values. Therefore, the correct answer is D. -3, 0, 1, 2, 3.
In general, to find the range, you look at all the second numbers in the ordered pairs of a relation or function. When plotted on a graph, this shows the dependence of y on x.
Who on here is from Connections Academy?
Answer:
not me
Step-by-step explanation:
I am not from Connections Academy, but I am in Ohva.
a bowl of candies contains the following makeup of colors: 4 red, 2 yellow, 5 green, and 1 purple. taina is selecting a candy at random from this bowl. she does not like the color red. what is the probability that taina does NOT select a red candy
Candies
4 red
2 yellow
5 green
1 purple
- Taina doesn't like red candies.
4/4+2+5+1 = 4/12
4/12 is the probability Taina will get a red candy, but we're looking for the opposite.
12/12 - 4/12 = 8/12 = 2/3
The probability Taina will not select a red candy is 2/3.
the smoothie shop sold 35 banana smoothies, 48 strawberry smoothies, and 25 orange smoothies. how many smoothies were sold in all?
Answer:
35
+ 48
25
= 108
The smoothie shop sold a total of 108 smoothies.
Explanation:To find the total number of smoothies sold, we add up the number of banana smoothies, strawberry smoothies, and orange smoothies. The smoothie shop sold 35 banana smoothies, 48 strawberry smoothies, and 25 orange smoothies. Therefore, the total number of smoothies sold is 35 + 48 + 25 = 108 smoothies.
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Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last
skater. Then, they try to decide whether or not Oliver should be the first skater in the race.
Which subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race?
A = {MOPN, PMON}
A = {OPMN, OMPN)
A = {MOPN,MPON, OPMN, POMN)
A = {MOPN. MPON, PMON, POMN)
Answer:
A = {MOPN, MPON, PMON, POMN}
Step-by-step explanation:
Everyone has already agreed that Naim would be the last skater, so we have to make sure that the result has 'N' in each last place. As we can see, they all have this.
Now, we also have to make sure Oliver not first, because although they're trying to decide, the problem asks for the complement in which "Oliver is the first skater in the race."
A complement is all the values that are NOT in the set, so it cannot be A = {OPMN, OMPN) or A = {MOPN,MPON, OPMN, POMN), because they both have at least one case where 'O' is first.
A complement is ALL other values of the set, so it cannot be A = {MOPN, PMON}, because that set only shows two possible values.
Therefore, A = {MOPN, MPON, PMON, POMN} is your answer.
Answer:A=OPMN,OMPN
Step-by-step explanation:
we know oliver is first in the race and naim is last so the other racers are in between
what is the explicit formula for this gemoetric sequence 8 4 2 1
Answer:
an = 8·(1/2)^(n-1)
Step-by-step explanation:
The first value is a1 = 8 and the common ratio is r = 1/2, so the formula is ...
an = a1·r^(n-1)
an = 8·(1/2)^(n-1)
an = 2^(4-n) . . . . . . more compact version
Three consecutive integers have a sum of 30. Which equation can be used to find x, the value of the smal
numbers?
o (X+ 1) + (x+2) = 30
X+(x+1)+(x+2) = 30
x(x+ 1)(x+2) = 30
3x(x+ 1)(x+2) = 30
Answer:
It's the second choice.
Step-by-step explanation:
x + (x + 1) + (x + 2) = 30.
Solving for x will give you the smallest digit.
The equation x+(x+1)+(x+2) = 30 is used to find x.
The integers are 9, 10 & 11.
What is the required equation ?
If a, b, c are integers, then the sum of three integers is a+b+c
Let, x be a integer.
Then other two consecutive integers are, x+1 & x+2
Sum of this three integers is x+(x+1)+(x+2)
According to the question,
Sum of this three integers is 30
So, the equation becomes, x+(x+1)+(x+2) = 30
Now, solving, x+x+1+x+2 = 30
⇒ 3x+3 = 30
⇒ 3x = 27
⇒ x = 27/3 = 9
So, (x+1) = 9+1 = 10 & (x+2) = 9+2 = 11
Therefore, the three consecutive integers are 9, 10 & 11
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The sum of four consecutive integers is 342. What is the third term in the sequence
Answer:
x + x + 1 + x + 2 + x + 3 = 4x + 6 = 342
4x = 336
x = 84
The third term is 84 + 2 = 86.
To find the third term in the sequence, we need to determine the first term and the common difference. By setting up and solving equations, we find that the first term is 84 and the common difference is 1. Therefore, the third term in the sequence is 86.
Explanation:To find the third term in the sequence, we need to determine the first term and the common difference.
Let's assume the first term is 'x' and the common difference is 'd'.
The four consecutive integers can be represented as x, x + d, x + 2d, and x + 3d.
Since the sum of these four integers is 342, we have the equation:
x + (x + d) + (x + 2d) + (x + 3d) = 342
Simplifying this equation, we get:
4x + 6d = 342
Now, we have two variables and one equation, so we need another equation to solve for x and d.
We can use the fact that the integers are consecutive, so the common difference is always 1.
Plugging in the value of d = 1 in the previous equation, we get:
4x + 6(1) = 342
Simplifying further, we get:
4x + 6 = 342
4x = 336
x = 84
Therefore, the third term in the sequence is x + 2d = 84 + 2(1) = 86.
you're laying plumbing on a construction site. The blueprints call for 8 sections of 5 3/4 inch long piping. how many inches of piping will use
Hey!
---------------------------
Solution:
8 = 8/1
5 3/4 = 23/4
23/4 * 8/1 = 184/4
184/4 = 46
---------------------------
Answer:
He will use 46 inches of piping.
---------------------------
Hope This Helped! Good Luck!
Answer:
46
Step-by-step explanation:
8*5.75= 46
A box contains 13 3/4 ounces of spaghetti.A serving size is 1 1/4 ounces. How many servings are in one box of spaghetti?
Answer:
11 servings
Step-by-step explanation:
13 3/4 ÷ 1 1/4 = 11
There are 11 servings in one box of spaghetti.
What is division?Division is breaking a number up into an equal number of parts.
Given that, A box contains 13 3/4 ounces of spaghetti. A serving size is 1 1/4 ounces.
55/4÷5/4 = 11
Hence, There are 11 servings in one box of spaghetti.
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Find the range of f(x) =3x-5 for the domain {-1.5,2,4}
Answer:
Step-by-step explanation:
calculate :
f(-1) =3(-1)-5 = - 8
f(5) =3(5)-5 = 10
f(2) =3(2)-5 = 1
f(4) =3(4)-5 = 7
the range is : E = {-8.10,1,7}
Lina packs 3-inch cups into boxes
measuring 12 inches by 15 inches.
How many cups fit in one box?
The division is one of the four fundamental arithmetic operations. The number of cups that Lina can feel in the box is 20.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Lina packs 3-inch cups into boxes measuring 12 inches by 15 inches. Since the bottom of the cup is circular, therefore, will cover a square area as shown in the image below.
Therefore, the number of cups that can fit in the bcan be written as,
Number of cups= (12 inches × 15 inches)/(3 inches × 3 inches)
= 20 cups
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Ryan feeds his dog 2/3 pounds of dog food for each meal. Ryan has just bought 18 pounds of dog food. For how many meals will the food last?
Answer:
Step-by-step explanation:
30 meals
Rearrange to make x the subject
a = 7x/k -r
Help me pls
Final answer:
To make x the subject of the equation a = 7x/k - r, add r to both sides, multiply by k, and then divide by 7, resulting in x = k(a + r)/7.
Explanation:
To rearrange the equation a = 7x/k - r to make x the subject, we need to perform a series of algebraic manipulations. Firstly, we add r to both sides of the equation, giving us a + r = 7x/k. Following this, we multiply both sides by k to get rid of the denominator, which results in k(a + r) = 7x. Finally, we divide both sides by 7 to solve for x, which gives us x = k(a + r)/7. This rearrangement shows x as the subject of the original equation.
-9.25 is rational or irational
Answer:
It is rational.
Step-by-step explanation:
A rational number is a number that can also be written as a fraction or ratio. -9. 25 is also equal to -9 1/4. Therefore, it is rational.
Answer:
-9.25 is rational
Step-by-step explanation:
What is -5x + 15 = 35 - 10x
Answer:
x = 4
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-5*x+15-(35-10*x)=0
Pull out like factors :
5x - 20 = 5 • (x - 4)
_________________________________________
Solve : 5 = 0
This equation has no solution.
A a non-zero constant never equals zero.
_________________________________________
Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
Hey!
-------------------------------------------------
Solution:
-5x + 15 = 35 - 10x
~Subtract 15 to both sides
-5x + 15 - 15 = 35 - 10x - 15
~Simplify
-5x = 20 - 10x
~Add 10x to both sides
-5x + 10x = 20 - 10x + 10x
~Simplify
5x = 20
~Divide 5 to both sides
5x/5 = 20/5
~Simplify
x = 4
-------------------------------------------------
Answer:
x = 4
-------------------------------------------------
Hope This Helped! Good Luck!
Evaluate the
expression:
2,322 - 27
Answer:
the answer is 2295
Step-by-step explanation:
of that doesn't work then put it in a calculator
Sasha uses stickers on each page
of her scrapbook. If she bought a
package with 628 stickers, about
how many pages will she be able to
make? Use compatible numbers to
find your answer.
Answer:
628
Step-by-step explanation:
She wants to use the sticker for each page of her scrapbook if her scrapbook has more than 628 then she wont have any stickers left because she only has 628 stickers.
The measure of an angle is 114º. Calculate the measure of its supplementary angle.
Answer:
66°
Step-by-step explanation:
Supplementary angles sum to 180°, thus
supplementary angle = 180° - 114° = 66°
Let p: x < −3
Let q: x > 3
What is represented by p ∨ q?
Answer:
Step-by-step explanation:
p ∨ q : x < −3 or x > 3
[tex] {x}^{3} \times {x}^{4} [/tex]
Answer:
[tex]x^{7}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex], thus
x³ × [tex]x^{4}[/tex] = [tex]x^{(3+4)}[/tex] = [tex]x^{7}[/tex]
Answer:
[tex]x^{7}[/tex]
Step-by-step explanation:
[tex]x^{n}[/tex]×[tex]x^{m} = x^{n+m}[/tex]