Answer:
30 cmStep-by-step explanation:
In this problem (word problem), we are examined on how to express equations from words.
let us initialize some variables
let the length of the first piece (the short piece) be x
and that of the second(the longer piece) be 5x
given that the total length is 96 cm
Also from the problem statement, the total length can be expressed as
5x+x= 96
6x= 96
divide both sides by 6 to solve for x
x= 96/6
x= 16
now the longer side = 5x
the longer side= 5*6
the longer side = 30 cm
PLEASEEE HELP MEEE!❤️
Given: g(x) = 3x² + 2 and h(x) = 2x + 2
Find: g(h(x))
Step-by-step explanation:
g(x) = 3x² + 2
h(x) = 2x + 2
g(h(x)) = g([2x + 2]) = 3[2x+2]² + 2
= 3[4x² + 8x + 4] + 2
= 12x² + 24x + 12 + 2
= 12x²+ 24x + 14
3. A recipe for shortbread cookies calls for 5 grams of butter to make 12 cookies.
How many deci-grams will there be in 60 cookies?
Answer:
250 i thoink
Step-by-step explanation:
For making 60 cookies the amount of butter will be 250 decigrams.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a recipe for shortbread cookies calls for 5 grams of butter to make 12 cookies.
The amount of butter for 60 cookies in decigrams will be calculated as,
12 cookies = 5 grams
12 cookies = 50 dg
60 cookies = ( 50 x 60 ) /60
60 cookies = 250 dg
To know more about an expression follow
https://brainly.com/question/11311384
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Paul took 6 blocks and arranged them in a pile. If each block is 4 inches in height. How many feet high is the pile that Paul made?
Answer:
The pile is 2 feet high.
Step-by-step explanation:
There are 6 blocks, each block is 4 inches in height. That means the total height is:
6×4=24 inches
Because the question asked for the answer in feet, you have to convert the 24 inches into feet:
24 inches=2 feet
8) Find the endpoint Cif M is the midpoint of segment CD and M (2, 4) and D (5,7)
a) (-3,-3) b) (-2,-1) c) (-1,1) d) (2,4)
Answer:
8. c. (-1, -1)
9. a. (-6, -1)
b. True
Step-by-step Explanation:
8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:
let [tex] D(5, 7) = (x_2, y_2) [/tex]
[tex] C(?, ?) = (x_1, y_1) [/tex]
[tex] M(2, 4) = (\frac{x_1 + 5}{2}, \frac{y_1 + 7}{2}) [/tex]
Rewrite the equation to find the coordinates of C
[tex] 2 = \frac{x_1 + 5}{2} [/tex] and [tex] 4 = \frac{y_1 + 7}{2} [/tex]
Solve for each:
[tex] 2 = \frac{x_1 + 5}{2} [/tex]
[tex] 2*2 = \frac{x_1 + 5}{2}*2 [/tex]
[tex] 4 = x_1 + 5 [/tex]
[tex] 4 - 5 = x_1 + 5 - 5 [/tex]
[tex] -1 = x_1 [/tex]
[tex] x_1 = -1 [/tex]
[tex] 4 = \frac{y_1 + 7}{2} [/tex]
[tex] 4*2 = \frac{y_1 + 7}{2}*2 [/tex]
[tex] 8 = y_1 + 7 [/tex]
[tex] 8 - 7 = y_1 + 7 - 7 [/tex]
[tex] 1 = y_1 [/tex]
[tex] y_1 = 1 [/tex]
Coordinates of endpoint C is (-1, 1)
9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:
let [tex] A(-2, -9) = (x_2, y_2) [/tex]
[tex] B(?, ?) = (x_1, y_1) [/tex]
[tex] M(-4, -5) = (\frac{x_1 + (-2)}{2}, \frac{y_1 + (-9)}{2}) [/tex]
[tex] -4 = \frac{x_1 - 2}{2} [/tex] and [tex] -5 = \frac{y_1 - 9}{2} [/tex]
Solve for each:
[tex] -4 = \frac{x_1 - 2}{2} [/tex]
[tex] -4*2 = \frac{x_1 - 2}{2}*2 [/tex]
[tex] -8 = x_1 - 2 [/tex]
[tex] -8 + 2 = x_1 - 2 + 2 [/tex]
[tex] -6 = x_1 [/tex]
[tex] x_1 = -6 [/tex]
[tex] -5 = \frac{y_1 - 9}{2} [/tex]
[tex] -5*2 = \frac{y_1 - 9}{2}*2 [/tex]
[tex] -10 = y_1 - 9 [/tex]
[tex] -10 + 9 = y_1 - 9 + 9 [/tex]
[tex] -1 = y_1 [/tex]
[tex] y_1 = -1 [/tex]
Coordinates of endpoint B is (-6, -1)
b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.
A family has a gross monthly income of $4395. Their monthly home mortgage payment is $1896. In general,
lenders follow the "28 percent rule", meaning no more than 28 percent of your gross income should go towards
your mortgage. Is this family within the recommended guidelines or are they spending too much for their home?
Explain your answer.
What is the length of the line?
the answer is c because it’s not an exact number, but it’s still reasonable considering it’s greater than 6 but still less than 7
Reduce the final answer, [tex]\frac{22+4}{44+16}[/tex]
Could someone please help me with 1 and 2 please
Answer:
1. 1,2 2,3 ,3,4, 4,5, 5,6
2.-2,1 -1,-1 0,-2 1,-1 2,1
Step-by-step explanation:
four boys evenly split 4 1/2 gallons of ice cream. how much will each get
Answer:
each boy would get 1 1/8 gallons of ice cream
Answer:
1.125 or 9/8
Step-by-step explanation:
4 1/2 divided by 4.
which of the following statements is false?
1.5 > 1.4
6.5 < 6.05
9.12 > 9.02
3.0 = 3
Answer:
6.5<6.05, this one is false
Step-by-step explanation:
look at the Statement and the numbers, it is false through my calculation
Help please!! Thank you
determine which of the following relation is a function
Answer: IT is A and C
what is v+(-16)=-15
Answer:
v=1
Step-by-step explanation:
v+(-16)=-15
v-16=-15
v=-15+16
v=1
Answer:
em qual período houve diminuição do número de
5) A submarine is cruising at -40 meters (40 meters below the surface). It
descends 20 meters, then rises 35 meters. What is the submarine's new depth? *
-25 m
-95 m
25 m
15 m
Answer:
-25
Step-by-step explanation:
You begin with -40, then decrease by 20 so your new value is -60, then increase by 35 so your final value is -25m... hope this helps (:
help me i need a lot of help thank you branly
Answer:its b) 19
4xl-7l-l-9l
=4x7-9
=28-9
=19
ONLY DO #10-29
13 points!! WILL MARK AS BRAINLIST
Answer:
same as ramen said #13
hope you pass♡
At a farmers' market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vegetables sold were string bean?
Answer:
47%
Step-by-step explanation:
3/4 of 5/8
3/4 • 5/8
15/32 = 0.46875 or 47%
A triangle has sides 6cm, and 7cm, use Pythagorean Theorem to figure out its hypotenuse.
Answer: 9.22M
Step-by-step explanation:
Name the plane represented by the front of the box.
B
JE
F
K
ODBF
GBF
ОСАВ
BJC
Answer:
not sure
Step-by-step explanation:
not sure what you're trying to show?
The weights of 18 students are given below. Find the mode and range weight.
Answer:
Mode: 42 Range: 9
Step-by-step explanation:
First, I used trial and error to find the value of x which I found out was 2. Next, I found out how many people were in each weight category. Then, I put the numbers in order from least to greatest which gave me 33,33,35,35,35,37,37,37,37,39,39,39,39,42,42,42,42,42. After that, I found the number that showed up the most in this set of data which is the mode. Finally, I subtracted the smallest number(33) from the greatest number(42) and got 9 which is the range.
Please explain the answer! Will give brainliest :)
We can see that the diagonal distance from the fire pit to the tree is 6 units, if you count, with a slope of 1, meaning that we only have to stay on that diagonal.
A third of 6 is 2, so we'll just go 2 units in that diagonal, putting us at the point [tex](4,3)[/tex].
Hope this helps.
頑張って!
The quotient of six and the sum of a number and eight
Answer:
6
——
x+8
Step-by-step explanation:
The quotient of six (6) and the sum of a number and eight (8) is equal to [tex]\frac{x + 8}{6}[/tex]
Let the unknown number be x.
In Mathematics, quotient simply means to divide a number by another number without any remainder.
Translating the word problem into an algebraic expression, we have;
The sum of a number and eight = [tex]x + 8[/tex]
Quotient of six (6) and the sum of a number and eight (8) is equal to;
[tex]\frac{x + 8}{6}[/tex]
In conclusion, the quotient of six (6) and the sum of a number and eight (8) is equal to [tex]\frac{x + 8}{6}[/tex]
Find more information: brainly.com/question/21449543
Solve this please
Solve
Answer:
x = 9
Step-by-step explanation:
Simplifying
-4 = 5 + -1x
Solving
-4 = 5 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-4 + x = 5 + -1x + x
Combine like terms: -1x + x = 0
-4 + x = 5 + 0
-4 + x = 5
Add '4' to each side of the equation.
-4 + 4 + x = 5 + 4
Combine like terms: -4 + 4 = 0
0 + x = 5 + 4
x = 5 + 4
Combine like terms: 5 + 4 = 9
x = 9
Simplifying
x = 9
Answer: The answer is x=9
Step-by-step explanation: Good afternoon, I got a different step-by-step explanation for you!!! :D Step 1: Simplify both sides of the equation: [tex]-4=5-x[/tex], [tex]-4=5+-x[/tex], and [tex]-4=-x+5[/tex]. Step 2. I flipped the equation: [tex]-x+5=-4[/tex].
Step 3. Subtract 5 from the both sides: [tex]-x+5-5=-4-5[/tex] to [tex]-x=-9[/tex].
Last but not least is step 4. Divide the both sides by –1: [tex]\frac{-x}{-1}=\frac{-9}{-1}[/tex]; ∴, your answer should be x=9, I hoped your answer is very helpful, please mark me as brainliest, and have a happy holidays!! :D
POSSIBLE POINTS: 10
Dean is making a phone call with a calling card. The calling card charges $3.00 for the first five minutes and 50.25 for each extra minute (or
part of a minute).
1. Find the cost of a 10 minute call on this phone
2. Find the cost of a 15.5 minute call on this phone
Step-by-step explanation:
I'm going to assume 50.25 was a typo error and it is $0.25 for each extra minute.
For a 10 minute phone call, the first 5 minutes cost $3 and the other 5 minutes cost $0.25 * 5 = $1.25. Altogether it costs $4.25.
For a 15.5 minute phone call, the first 5 minutes cost $3 and the other 10.5 minutes cost $0.25 * 11 = $2.75. Altogether it costs $5.75.
Answer:
1 = 100. 50 2 = 65 . 30
Step-by-step explanation:
just add extra minutes and mins to call okkk
Kai is making a chessboard using pieces of wood that measure 1sq in when she finishes the chessboard well have an area of 64 sq in how many pieces of wood should he put along each side
Answer:
8 pieces of wood should be put along each side of the chessboard
Step-by-step explanation:
Here in this question, we are interested in knowing the the number of pieces of wood that should be put along each side of the cheese board.
Firstly, to know the number of pieces of wood to use, we need to divide the area of the board by the area of each piece of wood
Mathematically that would be 64 square inches/ 1 square inch = 64 pieces of wood
64 pieces of wood would be needed to complete the cheeseboard.
The number of pieces to put along each side of the cheese board will be √64.
This is because the shape of a chessboard is square.
Thus the number of pieces to put on each side will be √64 = 8
A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work? (i dont get this one, please explain :)
Answer:
35 days
Step-by-step explanation:
A = 14 days
It means per day, work done by A= 1 / 14
A+B = 10 days
Work done by A and B per day = 1 / 10
In what time can B alone do the work?
To solve this, we have
A+B = A alone + B alone
1/10 = 1/14 + B alone
Subtract 1/14 from both sides
1/10 - 1/14 = 1/14 + B alone - 1/14
14-10/140 = B alone
4/140 = B alone
B alone= 1 / 35
Work done of B alone = 1/35
B alone will do the work in 35 days
Answer:
35 days.
Step-by-step explanation:
A can do the work in 14 days: per day work done by A=1/14
A and B can do the work in 10 days: per day work done by A and B=1/10
Work is done by B per day=1/10–1/14=7/70-5/70=(7–5)/70=2/70=1/35.
So, B takes 35 days.
Marshall began making a grilled cheese sandwich at 6:13 P.M. The sandwich was ready at 6:24 P.M. How long did it take Marshall to make the sandwich?
Antointette puts the letters of her name inside a bag and picks one letter at random what is the probability that Antoinette picks a vowel
Answer:
5/11 or 0.4545
Step-by-step explanation:
I think this is correct you just count how , many letters she has in her name (that's gonna be our denominator) and then count how many of those are vowels (our numerator). to change it into a decimal you simply divide the top by the bottom.
Please help this is my last question and I can't get it wrong or else I will literally rage at IXL.
Answer:
B
Step-by-step explanation:
So, we have the expression:
[tex](3k-1)-(5k-4)[/tex]
First, distribute the negative on the right:
[tex]=3k-1-5k+4[/tex]
Combine like terms:
[tex]=(3k-5k)+(-1+4)[/tex]
Add:
[tex]=-2k+3[/tex]
So, our only correct answer is B.
The other answers can't be obtained.
And we're done!