Answer:
11 shelves are needed
Step-by-step explanation:
Given that:
Number of books to put on shelf = 72
Number of books per shelf = 7
Number of shelves required for all books :
Total number of books / number of books per shelf
= 72 / 7
= 10. 285
Since, only 7 books can be put on a shelf, then with 10 shelves, there will be 2 books left, hence 1 more shelf will be needed.
11 shelves are needed
Complete the steps to solve the inequality:
0.2(x + 20) – 3 > –7 – 6.2x
Answer:
0.2x + 4 - 3 > -7 - 6.2x
0.2x + 6.2x > -7 -1
6.4x > -8
x < 1.25
Answer:
x > -1.25
Step-by-step explanation:
0.2x + 4 – 3 > –7 – 6.2x
0.2x + 1 > –7 – 6.2x
6.4x + 1 > –7
6.4x > –8
x > -1.25
Solve: (8-u)-(5u+1) with steps
Answer:
-6u + 7
Step-by-Step Explanation:
Rearrange Terms:
(8 - u) - 1(5u + 1)
(-u + 8) - 1(5u + 1)
Distribute:
(-u + 8) - 1(5u + 1)
(-u + 8) - 5u - 1
Eliminate Redundant Parentheses:
(-u + 8) - 5u - 1
-u + 8 - 5u - 1
Subtract the Numbers:
-u + 8 - 5u - 1
-u + 7 - 5u
Combine Like Terms
-u + 7 - 5u
-6u + 7
Solution:
-6u + 7
Solve the system of equation by elimination.
27= -3y + x
2 y=10 - 4x
Answer:
x=6 y=-7
Step-by-step explanation:
rearrange the equation
3y=x-27 eq 1
2y=-4x+10 eq 2
Multiply eq 1 by 2, and eq 2 by 3
6y=2x-54
6y=-12x+30 subtract the two eq's
0=14x-84
84=14x
x=84÷14
x=6
solving for y sub. x either eq 1 or 2
3y=x-27
3y=6-27
3y=-21
y=-21÷3
y=-7
The equation 2/3 [3 = (10 – 8)] = 2/3(3 =2) is an example of which of the following properties of
equality?
A. Reflexive
B. Symmetric
C. Substitution
D. Transitive
Given
Step 1
Step 2
Step 3
8(3x - 7) = -6(x + 7) + 4
24 x – 56 = -6x - 42 + 4
24x - 56 = -6x + 46
30 x = 102
17
5
Step 4
X =
Identify and describe error in the following problem
Answer:
the Ans is 3.4
Step-by-step explanation:
8(3x - 7) = -6(x + 7) + 4
24 x – 56 = -6x - 42 + 4
24x - 56 = -6x + 46
30 x = 102
X=3.4
c= 73 b= 55 a= ?
( Pythagorean theorem)
Please help
A) 54
B)52
C)50
D)48
In the expression
12a + b - 7
which
is the constant?
Answer:
Step-by-step explanation:
in the expression 12a+b-7
the constant is 7
the rest are variables
Answer:
7 would be the constant
12a+b-7
the constant in this expression is 7 and the rest would be the variables
Hope this helps :)
Blanca jogged 8 days last month she jogged 1.25 miles on each day and burned 140 calories per mile while jogging how many calories did Blanca burn by jogging last month
Answer:
140p calories
Step-by-step explanation:
Bianca is said to have jogged km 8 days, while also completing 1.25 miles every day. First, we calculate the total number of miles Bianca jogged in total, and that is
8 * 1.25 = 10 miles
Therefore, Bianca jogged a total of 10 miles the previous month.
Again, it is said that Bianca burned 140 calories per each mile she jogged and were asked to find the total calories that was burnt.
If Bianca burns 140 calories per mile, then she must have burnt 140 * 10 calories in 10 miles.
Therefore, we conclude that Bianca burnt 1400 calories.
What is 34.5 divided by 3
Answer:
34.5/3 = 11.5
Step-by-step explanation:
Point K is rotated 90°. The coordinate of the pre-image point K was (2,-6) and its image K’ is at the coordinate (-6, -2). Find the direction of the rotation. The direction of rotation was ) Intro
Answer: clockwise
Step-by-step explanation:
hope this helps<3
[tex]5 - (6 - 16) \times (3 - 7)[/tex]
Answer:
[tex] - 35[/tex]
Step-by-step explanation:
1. Simplify 6 - 16 to - 10.
[tex]5 - ( - 10) \times (3 - 7)[/tex]
2. Simplify 3 - 7 to -4.
[tex]5 - ( - 10) \times - 4[/tex]
3. Simplify (-10) × -4 to 40.
[tex]5 - 40[/tex]
4. Simplify.
[tex] - 35[/tex]
Therefor, the answer is -35.
A florist sells a bouquet of roses
for $16 each and a bouquet of carnations
for $10 each. The shop sells 28 bouquets
today and makes $400. How many bouquets of
roses did the shop sell today and how many
bouquets of carnations were sold today?
Answer:
Bouquets of roses = 20
Bouquets of carnations = 08
Step-by-step explanation:
Let,
x be the bouquets of roses sold
y be the bouquets of carnations sold
According to given statement;
x + y = 28 Eqn 1
16x + 10y = 400 Eqn 2
Multiplying Eqn 1 by 16
16(x+y=28)
16x + 16y = 448 Eqn 3
Subtracting Eqn 2 from Eqn 3
(16x+16y)-(16x+10y) = 448 - 400
16x + 16y - 16x - 10y = 48
6y = 48
Dividing both sides by 6
[tex]\frac{6y}{6}=\frac{48}{6}\\y=8[/tex]
Putting y=8 in Eqn 1
x + 8 = 28
x = 28 - 8
x= 20
Hence,
Bouquets of roses = 20
Bouquets of carnations = 08
helpppppppppppppppppppppp
its the last option i think.
can anyone please solve this question
Answer:
<acb=90°
inscribed angle from the diameter is 90°
PLS HELP ILL GIVE BRAINLIEST
Answer:
Parallel lines have no intersection
Step-by-step explanation:
Find the prime factorization of
60
100
85
Note only the one with the steps will be counted
Answer:
60=2×2×3×5100=2×2×5×585=5×17The area A of a rectangle is represented by the formula A = lw, where l is the length and w is the width. The length of the rectangle is 5. Write an equation that makes it easy to find the width of the rectangle if we know the area and the length. *
Answer: rearrange the formula A=lw and make the width the subject of the formula
therefore to find width, the formula is w=A/l
Step-by-step explanation:
3511 divided by 217??
Answer:
16.1797235
Step-by-step explanation:
Answer:
16 39/217
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
-3/8 x m = -1/10 Which value can replace m to make the equation true?
Answer:
m = 4/15x is you answer
Step-by-step explanation:
Hope this helps!!
find the value of x. round the lengths to the nearest tenth
Answer:
Step-by-step explanation:
SOH CAH TOA
use the trigonometry mnemonic (new monic) to help remember how sin cos and tan fit on the triangle
since you know the angle and you want to know the side opposite of that angle... and you know the side adjacent ( next to) the angle... use Tan
use the mnemonic to help
Tan(Ф)= Opp/ Adj ( we know two of these things and we want the 3rd :P )
Adj * Tan(25) = Opp
250 * Tan(25) = Opp
116.5769.... = Opp
x = 116.6 ft. approx. in the picture
13. If l is parallel to m, find the values of x and y.
Answer: 14. x = 16; y = 23
15. x = 9; y = 13
Step-by-step explanation:
14. (4x + 4) = (7x - 44) (alternate exterior angles are congruent)
4x + 4 = 7x - 44
Collect like terms
4x - 7x = -4 - 44
-3x = -48
Divide both sides by -3
x = -48/-3
x = 16
39° + (8y - 43)° = 180° (consecutive exterior angles are supplementary)
39 + 8y - 43 = 180
Add like terms
-4 + 8y = 180
Add 4 to both sides
8y = 180 + 4
8y = 184
Divide both sides by 8
y = 184/8
y = 23
15. (15x - 26)° = (12x + 1)° (alternate exterior angles are congruent)
15x - 26 = 12x + 1
Collect like terms
15x - 12x = 26 + 1
3x = 27
Divide both sides by 3
x = 27/3
x = 9
28° + (12x + 1)° + (4y - 9)° = 180° (sum of interior angles of ∆)
Plug in the value of x
28 + 12(9) + 1 + 4y - 9 = 180
28 + 108 + 1 + 4y - 9 = 180
Add like terms
128 + 4y = 180
Subtract 128 from each side of the equation
4y = 180 - 128
4y = 52
Divide both sides by 4
y = 52/4
y = 13
Both answer and explantion.
John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $16, what was the price before the first discount?
Answer: original price = p
price after first 24% discount = .75p
he second 25% discount reduces the already reduced price to .75*.75p = .5625p
So, if .5625p = 16,
p = 16/.5625 = $28.44
check:
25% off $28.44 = $21.33
25% off $21.33 = $16.00
7+ -(8) - 1= what is the answer
Answer: -2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
7+(-8)-1
change to: 7-8-1
combine like terms (-8 and -1)
7-9
= -2
Which equation represents a functional relationship?..
Y=6
X=6
Plz justify your answer~
Answer:
defines y as a function of x, because for every x value there is no more than a y value. (In fact for every x there is exactly one y value). We can forgive a function if some values of x do not have a y, but if there is more than one y for even one value of x, then the relation is not a function.
x=y2+6 does not define y as a function of x, because some value(s) of x have more than one y.
In general,
x=y2-6--->x+6=y2
So, all the values of x larger than -6 would have two y values.
For example, x=10 would be paired with y=4 and y=-4.
A function cannot assign more than one y to any x value.
Step-by-step explanation:
i am not sure if this is what you mean tell me if it is not i will try one more time
: -- ) PLEASE HELP me out with this one
Answer:
A
Step-by-step explanation:
To answer this, we need to see what happens to the curves on the given interval
For f(x), we have that there is a decrease as we are moving from a higher positive value of y to a lower positive value of y over the specified interval
For g(x), we can see that we are moving from a lower positive y value to a higher positive y value
What this mean is that the first option is correct
One-third of 1/2 cake
1/3−1/2=− -1/6
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1....Complete the multiplication and the equation becomes ....The two fractions now have like denominators so you can subtract the numerators. This fraction cannot be reduced.....and that's how i got the answer
factorise fully 2x^2+6x
Answer:
2x(x + 3)
Step-by-step explanation:
Given
2x² + 6x ← factor out the common factor 2x from each term
= 2x(x + 3)
20% of 150 what is your number
Answer:
20% of 150 is 30 :)
Step-by-step explanation:
Can somebody plz help answer these word prob questions plz thanks! (Grade7math( btw :)
WILL MARK BRAINLIEST WHOEVER ANSWER FIRST :DDD
Answer:
3:1
8:5
Step-by-step explanation:
Can someone give me some numbers that involve the 'a^2 + b^2 = c^2' therome. I couldn't remember what it was called. :P I need this for a test.
Answer:
some numbers that involve the
a=3
b=4
c=5
