Step-by-step explanation:
Let x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced.
The total no of cabinets are 100
Equation will be : x+y = 110
We can write it as : y = 110-x ...(1)
Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20.
Equation will be : y = 2x + 20 ...(2)
Put the value of y from equation (1) into equation (2).
110-x = 2x + 20
Combining like terms,
110-20 = 2x+x
90 = 3x
x = 30
Put the value of x in equation (1) :
y = 110-30
y = 80
Hence, there are 30 cabinets of type 1 and 80 cabinets of type 2.
A sequence of digits has the property that each pair of successive digits, taken in the order written, forms a decimal numeral representing a multiple of either 1717 or 2323. If the first digit is 99 and the sequence is finite, what is its last (possible) digit
Answer:
Concept: Mathematical Sequences
Let An be 99 a double digit multiple The sequence is finite. Finite= restricted and not bounded to positive infinity By that logic the last possible digit is 999999999999999999999999999999999999999999999PLZ HELP ANSWER ONLY LAST QUESTION PLEASE!
The partial factorization of x2 – 3x – 10 is modeled with algebra tiles. An algebra tile configuration. 1 tile is in the Factor 1 spot: and is labeled + x. 6 tiles are in the Factor 2 spot: 1 is labeled + x and 5 are labeled negative. 18 tiles are in the Product spot: 1 is labeled + x squared, 2 are labeled + x, the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative. Which unit tiles are needed to complete the factorization?
Answer:
2 positive unit tiles is needed
Step-by-step explanation:
Given the expression x^2 – 3x – 10, the partial factorization is as shown;
x^2 – 3x – 10
= x^2 +2x – 5x – 10
= x(x+2)-5(x+2)
= (x-5)(x+2)
Note that negative values are represented as tiles labelled below (negative tiles) while positive values are tiles labelled above (positive tiles)
From the second line we can see that first term 1 is labeled + x squared, second is labelled +2x (two positive tiles above), then the 5 tiles below + x squared are labeled negative x, and the 10 tiles below the + x tiles are labeled negative.
Hence base on the partial factorization and the underlined statement, we can see that 2 positive unit tiles is needed to complete the factorization
Answer:
B i think
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
Which statement describes the transformation of M to circle N?
A. The circle was translated down 5 units and dilated by a factor of 1/2
B.The circle was translated down in 1 unit and dilated by a factor of 2
C. The circle was translated down 5 units in dilated by factor of 1/3
D. The circle was translated down in 1 unit and dilated by a factor of 3
Answer:
C. The circle was translated down 5 units in dilated by factor of 1/3
Step-by-step explanation:
The circle was translated down 5 units in dilated by factor of 1/3
Answer:
C
Step-by-step explanation:
Subtract
-b + 3 from – 116 – 4
Answer:
-123-b
Step-by-step explanation:
-116-4-(b+3)
-123-b
Which of the following has a graph that is a straight line? (4 points)
Question 1 options:
1)
Equation 1: y = 4x3 + 6
2)
Equation 2: y = 5x − 4.5
3)
Equation 3: y2 = x − 1
4)
Equation 4: y = 2x2 + 6
Answer:
y = 5x − 4.5
Have a safe and happy new years :)
Greg invested $11,000 in two accounts.
• The first account pays 5% interest per year.
• The second account pays 8% interest per year.
Greg earned a total of $752.50 in interest at the end of the first year.
How much did Greg invest in the 5% account?
A) 6750
B) 3415
C) 5500
D) $4250
Answer:
D; $4,250
Step-by-step explanation:
Here, we want to know the amount that was invested in the 5% account
We proceed as follows;
Let the amount invested in the 5% interest account be $a and the amount invested in the 8% interest account be $b
We have it that the total investment amount is $11,000
Mathematically, since total is 11,000; we can add a and b to give this
a + b = 11,000 •••••••••(i)
Now, let us work with the interests
Interest earned will be;
Percentage of interest * Amount invested
For the 5% interest account, the interest earned will be;
5/100 * a = 5a/100 = 0.05a
For the 8% interest account , the interest earned will be;
8/100 * b = 0.08b
By adding the interests on both account, we can get the total amount of interest earned
We can have this as;
0.05a + 0.08b = 752.50 •••••(ii)
From equation i above;
b = 11,000 - a
Substitute this into ii
0.05a + 0.08(11,000-a) = 752.5
0.05a+ 880 - 0.08a = 752.5
0.08a-0.05a = 880-752.5
0.03a = 127.5
a = 127.5/0.03
a = $4,250
If a second square window has an area of 100 square inches, what is the length of each side?
Answer:
25
Step-by-step explanation:
25, 50, 75, 100
Rewrite y+3=−(x−5) in standard form .
Answer:
x + y = 2
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y + 3 = - (x - 5) ← distribute
y + 3 = - x + 5 ( subtract 3 from both sides )
y = - x + 2 ( add x to both sides )
x + y = 2 ← in standard form
Give me 2 exponents that equal to 8 :)
There are 130 people in a sport centre. 61 people use the gym.
68 people use the swimming pool.
60 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
19 people use the gym and the track.
6 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?
Step-by-step explanation:
Number of people who uses the gym and the track, and also uses the pool = Number of people who use all 3 facilities = 6. (given)
Number of people who uses the gym and the track, and may or may not use the pool = 19. (given)
Therefore number of people who use the gym and track, but do not use the pool = 19 - 6 = 13.
Probability = (13/19) * 100% = 68.4%.
Which graph represents the solutions of the inequality p ≥ 10?
A. A number line with an open circle at 10, shaded to the right.
B. A number line with an open circle at 10, shaded to the left.
C. A number line with a filled-in circle at 10, shaded to the right.
D. A number line with a filled-in circle at 10, shaded to the left.
Answer:
D
Step-by-step explanation:
PLEASE ANSWER FAST I NEED HELPPP
What is the solution to the following system of equations?
2x + y = 0
x + 2y = 3
Group of answer choices
(0, 0)
(-1, 2)
(2, -4)
(-5, 4)
Which is the graph of the linear equation 3x + 2y = 6?
Answer:
I think it would have to be the last one please tell me if i am right
Step-by-step explanation:
Answer:
It's the graph in the middle, just did it on edge
Step-by-step explanation:
Plsssss help I needdd help
Answer:
';ouiehdgfw;i[hgvc
Step-by-step explanation:
its very good have patience gurrrrrrrrrl lol
PLEASE ANSWER NUMBER 15 ‼️‼️‼️‼️
Answer:
C
Step-by-step explanation:
I NEED HELP PLEASE!
Which equation represents a line perpendicular to the line shown on the graph?
On a coordinate plane, a line goes through (0, 8) and (2, 0).
y = 4 x minus 1
y = negative 4 x + three-fifths
y = one-fourth x + 5
y = negative one-fourth x minus 1
9514 1404 393
Answer:
y = 1/4x + 5
Step-by-step explanation:
The given line has a "rise" of -8 for a "run" of 2, so a slope of ...
m = rise/run = -8/2 = -4
The perpendicular line will have a slope that is the opposite of the reciprocal of this slope. Its slope will be ...
-1/m = -1/(-4) = 1/4
The equation you're looking for will have an x-coefficient of 1/4. The suitable choice is ...
y = 1/4x + 5 . . . . the third choice
Simplify this equation:
-4(c+2d)-2(3c-4d)
Answer:
-10c
Step-by-step explanation:
-4(c+2d)-2(3c-4d) = (-4c-8d) + (-6c+8d)
Multiply (-4) to both terms in the first bracket and multiply (-2) to both terms in the second bracket.
(-4c-8d) + (-6c+8d) = -4c-8d-6c+8d
Evaluate like terms.
-4c-8d-6c+8d = -10c
CAN SOMEONE HELP ME WITH THIS IXL ITS P.7 EIGHTH GRADE!!!!
Is the following relation a function?
Relation:
Х Y
6 8
5 1
6 6
2 4
The domain:
{2,5,6}
The range:
{1,4,6,8}
Answer: No
Step-by-step explanation:
The domain consists of the numbers 6, 5, 6, 2
6 is repeated twice
The criteria for a function is that there are no repeating numbers in the domain
This does not follow the criteria, therefore this is not a function
Answer-No
Factor by grouping.(7m + 2)(3m + 5) (7m – 2)(3m – 5) (7m – 2)(3m + 5) (7m + 2)(3m – 5)
Answer:
40m
Step-by-step explanation:
(7m+2+3m+5+7m-2+3m-5+7m-2+3m+5+7m+2+3m-5)
40m+0
40m
Increase 60kg by 33⅓ please help!
Answer:
2000 kg is the answer.
Step-by-step explanation:
We need to increase 60 kg by [tex]33\dfrac{1}{3}[/tex].
The given value is 60 kg. We can find it by finding [tex]33\dfrac{1}{3}[/tex] of 60 kg.
[tex]=60\times \dfrac{100}{3}\\\\=20\times 100\\\\=2000[/tex]
Hence, if we increase 60 kg by [tex]33\dfrac{1}{3}[/tex], we will get 2000 kg.
If x= - 2 is a solution to the equation f(x) = g(x), which one of these statements must be true?
• The graphs of f and g intersect each other at x = -2
• The graphs of f and g intersect each other at x = 2
• The graphs of f and g intersect the x-axis at -2
• The graphs of f and g intersect at the y-axis at -2
Answer:
C
Step-by-step explanation:
Margo can purchase tile at a store for $0.69 per tile and rent a tile saw for $36. At another store she can borrow the tile saw for free if she buys tiles there for $1.29 per tile. How many tiles must she buy for the cost to be the same at both stores?
Answer:
30 tiles need to buy for same cost in both store.Step-by-step explanation:
Let x be the number of tiles to buy for same cost in both store.
18+0.69 · n = 1.29 · n,
1.29n -0.69n =18 or
0.6n =18
n =18/0.6=30
Therefore, 30 tiles need to buy for same cost in both store.[Ans]
Answer:
I think you need to cross multiply
I’ll mark brainlist whoever gives the right answer!
Answer:
y=-2/3x+2/3 i think... :)
Step-by-step explanation:
y=mx+b
-4=-2/3(-7)+b
-4=14/3+b
b=2/3
y=-2/3x+2/3
HELPPP!!!!!!
Tiana and Vince are practicing their typing skills in computer science class. They both typed the same number of words, but Tiana took less time. They are participating in a typing competition next week. In the competition, they will have the same amount of time to type. Who will likely type more words during the competition?
Answer:
tiana
Step-by-step explanation:
because she took less time in the practise
Answer:
Tiana
Step-by-step explanation:
It is Tiana because she took less time while practicing.
The Micro Devices Company earned 3,632,859,678 dollars this year. 2,459,632,852 dollars were earned last year. Which is the best estimate of how many more dollars were earned this year than last year?
Answer:
$1,173,226,826
Step-by-step explanation:
The estimate of the increase in dollars earnings is the difference between this year's earnings and last year's earnings. In other words, the increase in earnings is the excess of current year's earnings over last year's earnings as computed below:
increase in earnings=this year's earnings-last year's earnings
this year's earnings=$3,632,859,678
last year's earnings=$2,459,632,852
increase in earnings=$3,632,859,678-$2,459,632,852
increase in earnings=$ 1,173,226,826
Plz help. Will give brainliest
Answer:
17.1
Step-by-step explanation:
Answer 17. 1
Step-by-step explanation:
Write 1.26% as a
precent and fraction
Answer:
126%
Step-by-step explanation:
Answer: 126/100 126%
Step-by-step explanation: