Answer:
Step-by-step explanation:
I’m pretty sure it’s b
Scarborough High School ordered several replacement books for the mathematics department. When the box of books arrived at the high school, it contained Algebra I, Geometry, and Algebra II textbooks. A label on the box reads: "Contents: 23 books, Weight: 93 lbs." An Algebra I book weighs 4 pounds, a Geometry book weighs 3 pounds, and an Algebra II book weighs 5 pounds. The number of Geometry books and Algebra II books combined is one less than the number of Algebra I books.
Answer:
Algebra 1 = 12 books
Algebra 2 = 5 books
Geometry = 6 books
Step-by-step explanation:
Given
Represent
Algebra 1 with A
Algebra 2 with B
Geometry with C
For the quantity
[tex]A + B + C = 23[/tex]
To represent the weight, we have that:
[tex]A = 4lb[/tex]
[tex]B = 5lb[/tex]
[tex]C = 3lb[/tex]
[tex]Total = 93lb[/tex]
This gives:
[tex]4A + 3B + 5C = 93[/tex]
The last sentence in the question can be represented with:
[tex]C + B = A - 1[/tex]
So, the expressions to work with are
[tex]A + B + C = 23[/tex] --- (1)
[tex]4A + 3B + 5C = 93[/tex] --- (2)
[tex]C + B = A - 1[/tex] --- (3)
Substitute A - 1 for B + C in (1)
[tex]A + B + C = 23[/tex]
[tex]A + A - 1 = 23[/tex]
[tex]2A - 1 = 23[/tex]
Solve for 2A
[tex]2A = 23 + 1[/tex]
[tex]2A = 24[/tex]
Solve for A
[tex]A = 12[/tex]
Substitute 12 for A in the (2) & (3)
[tex]4A + 3B + 5C = 93[/tex]
[tex]4 * 12 + 3B + 5C = 93[/tex]
[tex]48 + 3B + 5C = 93[/tex]
[tex]3B + 5C = 93 - 48[/tex]
[tex]3B + 5C = 45[/tex] ---- (4)
[tex]C + B = A - 1[/tex]
[tex]C + B = 12 - 1[/tex]
[tex]C + B = 11[/tex]
Make C the subject
[tex]C = 11 - B[/tex] ----- (5)
Substitute 11 - B for C in (4)
[tex]3B + 5C = 45[/tex]
[tex]3B + 5(11 - B) = 45[/tex]
[tex]3B + 55 - 5B = 45[/tex]
Collect Like Terms
[tex]3B - 5B = 45 - 55[/tex]
[tex]-2B = -10[/tex]
Solve for B
[tex]B = -10/-2[/tex]
[tex]B = 5[/tex]
Substitute 5 for B in (5)
[tex]C = 11 - B[/tex]
[tex]C = 11- 5[/tex]
[tex]C = 6[/tex]
Given the following diagram, name an obtuse angle.
∠ APW
∠ WPB
∠ APZ
∠ ZPW
Answer:
WPB
Step-by-step explanation:
Because it's larger than 90 degrees. And none of the other angles are obtuse.
Answer:
the answer is WPB!!!!!!
What is the proper expression for the absolute value of 3?
When we take the absolute value of a number, we always end up with a positive number (or zero). Whether the input was positive or negative (or zero), the output is always positive (or zero). For instance, | 3 | = 3, and | –3 | = 3 also.
please help, if u get it right i will give u brainliest
Answer:
2.27%
Step-by-step explanation:
Lets start by making the names letters, J C and A respectively.
The total is 44 dollars. J paid 34%, which would be 14.96. He pays a total of $15. C paid 50%, which is 22 dollars. A pays 17%, which would be 7.48. She pays a total of $8.
15 + 8 + 22 = $45, meaning they paid an extra 1 dollar. One dollar is 1/44th of $44, or 2.27%.
Note: 2.27% is 2.272727272727 repeated, do what you will with that information, every site is different.
12x - 200 + 5x = 72 solve for x
Answer:
x=16
Step-by-step explanation:
12x - 200 + 5x =72
+5x. +5x
17x + -200 =72
+200 +200
17x =272
/17 /17
x=16
√12 X √15is equal to:
Answer:
√12 * √15
= √12*15 = √180
√180 = 6√5 ans.
OR:
√12×√15= √180
√180 = 13.41
If V = 5, Y = -3, and Z = - 2 what is the answer to x-5z divided by y
The answer is x+10 divided by -3.
Use the function g(x) = 175 + 85x to find
the most number of trees that Jamal can grow
without exceeding $525.
you don't want to exceed 525, so you set the inequality to be
[tex]525\geq 175+85x[/tex]
we can think of the max as just
[tex]525=175+85x[/tex]
solve for x
[tex]85x=350[/tex]
[tex]x=4ish[/tex]
(note: always round down so that you don't exceed the max. ex. you could round to 4.11 instead of 4.12. x=4.12 would give you a value greater than 525)
HELP ASAP PLS Billy wanted to write a ratio of the number of apples to the number of peppers in his refrigerator. He wrote : . Did Billy write the ratio correctly? Explain your answer.
Answer:
yes, Billy wrote the ratio correctly
Step-by-step explanation:
To indicate that you're using a ratio, you can use the division sign ( / ), a colon ( : ), or the word to. For example, if you wanted to say, "For every five men at the party, there are three women," then you could use any of the three symbols to state this. Here's how we go about it :
5 men / 3 women
5 men : 3 women
5 men to 3 women
A hawk is sitting on the branch of a tree Question Image ft above the ground. It flies 28.3 ft higher in the air, drops down by 8.2 ft, and then a short time later flies down another Question Image ft onto the branch of another tree. Write an expression that represents the change in the bird’s height. Which of the two branches is higher above the ground?
Please help me asap!
Will mark as Brainliest for first correct answer.
Answer:
if you add 28.3 and 8.2 you will get 36.5
Step-by-step explanation:
Number 8 please!!!!!!
Answer:
the answer is a= -20
can you also please mark me as brainliest?
thanks
how do you solve a function notation
5a^2=320 solve for a
Answer:
a=8,-8
Step-by-step explanation:
-3y > 9 or 2y – 6 > 2
Pls solve with steps and explain
Answer:
this is no answer
The solution of the given inequalities is y>-3 and y>4 respectively.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given inequalities are -3y > 9 and 2y - 6 > 2.
-3y > 9
y > -9 / 3
y > -3
The second inequality will be calculated as,
2y - 6 > 2
2y > 2 + 6
2y > 8
y > 4
Therefore, the solution of the given inequalities is y>-3 and y>4 respectively.
To know more about inequality follow
https://brainly.com/question/24372553
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Katie has a cat named
Fluffy. Fluffy eats a whole
bag of cat food in two
weeks. Katie feeds Fluffy
twice a day. The cat food
comes in a 7 cup bag.
How many
cups of food
does Fluffy
each serving?
Please show step by step
Answer:
1/2 a cup or 0.5 cups per serving
Step-by-step explanation:
If you were to divide 7 by 14 you would get 0.5. The reason as to why you would divide 7 by 14 is because if she eats twice a day that would be 7 more times then if she were to be fed once a day. So if you were to feed her twice a day that would be 14 times a week.
Don't think this helped at all but I tried my hardest, sorry if you get your problem wrong. Hope you have a good day :D
is this proportional or non proportional ???
Step-by-step explanation:
Non-proportional relationships affect these representations because the y-intercept in the graph will no longer be zero, the ratios in the table will not be proportional, and the equation will be affected because the number will be added or subtracted which is represented by b.
Proportional relationships are relationships between two variables where their ratios are equal. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.
That constant is know as the "constant of proportionality".
What is the solution for x in the equation? 4x − 3 + 5 = 2x + 7 − 8x
A. x = 2
B. x=1/2
C. x = -2
D. x = -1/2
Answer:
1/2
Step-by-step explanation:
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Stephen made a mistake and used 7 cups of flour. How many cups of milk should he use to keep the proportions correct?
he should use 3.5 cups of milk.
bc three goes into seven 2 1/3 times.
and 1/3 of 1.5 is 0.5
since 3 goes into 7, 2 times, he uses 3 cups of milk, and sinze 1/3 of 1.5 is 0.5, add them together and you get 3.5
i hope that made sense
Rachel received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.61 per pound. After buying the coffee, she had $34.34 left on her card. How many pounds of coffee did she buy?
Answer:
6
Step-by-step explanation:
80- 34.34 = 45.66
45.66 ÷ 7.61 = 6
Answer:
6 pounds of coffee
Step-by-step explanation:
80 ÷ (7.61p) = 34.34
80 - 34.34 = 45.66
45.66 ÷ 7.61 = 6
6 pounds of coffee
A bacteria colony starts with 5 bacteria at the beginning and triples every hour. How would
you write an explicit equation to model this situation?
A. f(x) = 3.5*
B. f(x) = 3x + 5
C. f(x) = 5x + 3
D. f(x) = 5.3%
Answer:
B. f(x) = 3x + 5
Step-by-step explanation:
Initial amount of bacteria N0 = 5 bacteria's
If the triple every hour,
The increase in bacteria in the colony after x hour will be 3*x =3x
x is the amount of hour.
Total amount of bacteria in the colony after x hour will be N0 + 3x
Let f(x) be the total amount of bacteria in the colony after x hour
f(x) = N0+3x
Since N0 = 5
f(x) = 5+3x
Re-arrange
f(x) = 3x + 5
Hence an explicit formula to model the equation is f(x) = 3x + 5
Plzz help if correct I will mark BRAINLYLIST!!!!
Answer:
71
Step-by-step explanation:
82 plus 27=109
180-109=71
Frank wants to go to the movies with his friends. Tickets at the movie theater are $5.00 for the first person and $6.50 for each additional person. Tom does not like movie 1. Bill and Sue don't like movie 2. Everyone has seen movie 3 already. Which movie should Frank and his friends see that would make everyone happy? If he spends $25.00 at the theater, how many people did he bring with?
Which of the following equations is equivalent to S= 2n?
Answer:
the second option h = S/pi²
Step-by-step explanation:
The usual form of 5.2 x 10^2
Answer:
520
Step-by-step explanation:
Hey nice to meet ya
[tex]10^{2} is 100\\so 100*5.2\\and that is\\520[/tex]
<3
Red
PLEASE HELP ME Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions.
(c) 3x + 4x - 8 = 24 + 6x
(d) 15 – 3x = -2x + 10 + 5 - x
(e) 6x + 14 + 2 = 3x – 20 + 3x +10
Answer:
Step-by-step explanation:
c: x=32
d: all real numbers are solution
e: there are no solutions
FIRST TO ANSWER GETS BRAINLIEST & POINTS
should be m1 = F*d2/(G*m2)
1. The following statement is false. Highlight the two words that should be
interchanged to make it a true statement.
In a function, every output value corresponds to exactly one input
value.
Answer:
highlight input and output.
Step-by-step explanation:
sorry if this doesn't work. i'm not 100% sure but its worth a try.
Calculators cost $40 each at Tech Central. How many calculators can Mrs.Robinson buy for her class with $1,000 if the tax on each calculator is 0.30? Write an equation.
Answer:
24
Step-by-step explanation:
TRUST
A factory produces 150 plastic conponents per hour how many companents does the factory per minute
Answer:
2.5 per minute
Step-by-step explanation:
:)
Answer:
2.5
Step-by-step explanation:
To find the # of components per minute, you must divide the # of components per hour by 60 since there are 60 minutes in an hour
That leaves us with 2.5 components per minute
25 pts! Who wants brainliest? answer this question
Answer:
The answer is 7root 5
Step-by-step explanation: