GCF = 38
Step-by-step explanation:38 = 2×19
76 = 4×19 = 2²×19
114 = 2×3×19
GCF = 2×19 = 38
Charlie has a collection of books that he wishes to display in a narrow bookcase with shelves of width 56cm. The thickest books are no more than 16cm wide and, when placed side by side, the entire collection takes up 2.4m. Find, with justification, the minimum number of shelves required to guarantee that all of the books can be displayed in the bookcase.
Answer:
5 shelves
Step-by-step explanation:
Given the following :
Width of shelves = 56cm
Maximum thickness of books = 16cm
When placed side-by-side, the entire collection of books takes up 2.4m
Minimum number of shelves required to guarantee that all of the books can be displayed in the book case.
Entire book collection = 2.4m = (2.4 × 100) = 240cm
Width of shelf = 56cm
In other to guarantee that the bookshelf contains all the books, we can assume that the each book is of maximum width, 16cm
Hence, maximum number of books each shelf can hold with guarantee
Width of shelf / max. Width of book
= 56cm / 16cm = 3.5
Hence, a shelf can hold 3 books with full guarantee.
If books are all 16cm thick, then the number of books ;
240 cm / 16 cm = 15 books
If one shelf can hold 3 books, then,
15/3 = 5 shelves are required to hold the books with maximum guarantee.
if angle LMPis 11 degrees more than angle NMP and angle NML is 137 find each measure.
Answer:
angle NMP = 63°
angle LMP = 74°
Step-by-step explanation:
Let angle NMP be x° . It's given that angle LMP is 11° more than angle NMP. So, angle LMP = x° + 11°
But angle NML = 137°.
So,
angle NMP + angle LMP = 137°
=> x° + x° + 11° = 137°
=> 2x° + 11° = 137°
=> 2x° = 137° - 11°
= 126°
=> x° = 126/2 = 63°
angle NMP = 63°
angle LMP = 63 + 11 = 74°
Solve x2 + 6x + 7 = 0
Answers:
Answer:
x2 + 6x = 0 - 7
8x = 7
8x/8 = 7/8
x = 7/8
Can someone help me ?
Answer:
1. B
2.B
3.C It could also be d because when you round it it would give you
8.7. Also no one leaves a section of their fence not painted. (8.6602540378443864676372317075294) UNROUNDED
Step-by-step explanation:
of the 777 graduating seniors in a certain high school, approximately 1/3 are going to a trade school, and approximately 2/7 of those going to a trade school are going to an art or design institute. wich of the following is the closest estimate for the number of graduating seniors going to an art or design institute
a) 74
b)75
c)110
d)219
e)256
Answer:
A. 74
Step-by-step explanation:
777/3 = 259
2/7 of 259 is 2/7 times 259 and that is 74
74 people are going to an art or design institute
solve by substitution y=2x-1 y=3x+1
what is the slope going through the points 7,9 and 14,9
Answer:
The slope is 0
Step-by-step explanation:
The equation is y = 9
As you cans ee thre isn't a slope.
Answer:
9-9/14-7=0/7= undefined
Step-by-step explanation:
you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points
Solve for a .5(a+b)h
Answer: 5ah+5bh
Step-by-step explanation:
all i did was foil! hope that helps!
how can you make a sum of 12?
Answer:
6+6+=12
Step-by-step explanation:
Answer:
BELOWStep-by-step explanation:
Through six different ways ;
[tex]1+11=12\\2+10=12\\3+9=12\\4+8=12\\5+7=12\\6+6=12[/tex]
360, 180, 120, 90, _, _
find the next two terms
Answer:
the next terms would be 72 and 60
The next two term are :72 and 60
To get the next two term we are going to substract 1/2, 1/3, 1/4, 1/5, 1/6 from each sequence.
Sequence:360, 180,120,90
360-1/2×360
=360-180
=180
180-1/3×180
=180-60
=120
120-1/4×120
=120-30
=90
90-1/5×90
=90-18
=72
72-1/6×72
=72-12
=60
Inconclusion The next two term are :72 and 60
Learn more here:
https://brainly.com/question/19127951
What major key has the same number of sharps and flats as the key of a minor. A. A major B. F major C. C major D. G major This is a music question, not a math questions
Answer:
C major
Step-by-step explanation:
major key has the same number of sharps and flats as the key of minor.
Correct 8695.496 to five significant figures
Answer:
8695.5
Step-by-step explanation:
you round the four to a five because the number behind it is greater than or equal to 5
hope that helps
Which of the following expressions is equivalent to 3 m ( m − 2 ) − ( m ^2 + 1 ) ?
Answer:
uh
Step-by-step explanation:
Answer:
me mo miknWhich of these expressions demonstrates the identity property? Check all that apply.Which of these expressions demonstrates the identity property? Check all that apply.Which of these expressions demonstrates the identity property? Check all that apply.
Step-by-step explanation:
Which of the following represents this function written in standard form?
y = 2(x - 1)(x-6)
A.y=2x^2 - 12+6
B. Y=2x^2 - 14x +12
C.y=2x^2 -12x+12
D.y=2x^2 -7x+12
Answer:
Hey there!
2(x-1)(x-6)
2x-2(x-6)
2x^2-2x-12x+12
2x^2-14x+12
Choice B is correct.
Let me know if this helps :)
The width of a rectangle measures (2.5u+9.8)(2.5u+9.8) centimeters, and its length measures (1.5u+3.9)(1.5u+3.9) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Solution,
We have,
Width of rectangle, b = (2.5u+9.8) cm
Length of rectangle, l = (1.5u+3.9) cm
We need to find the expression for the perimeter of the rectangle. The formula for the perimeter of a rectangle is given by:
Perimeter = 2(l+b)
P = 2[(2.5u+9.8)+(1.5u+3.9)]
Collecting like terms
P = 2[(2.5u+1.5u)+(9.8+3.9)]
P=2(4u+13.7)
⇒ P = 8u+27.4
So, the expression for the perimeter of the rectangle is (8u+27.4) cm.
8th grade math, please help asap
Need Help ASAP This is due in about 10 minutes
Answer:
1- 3(BDE)
2- 37.18 (83.36 - 46.18=64)
3- 64 (83.36 - 19.36)
4- 140.2 (56.84 + 83.36=140.2)
What is an algebraic expression for each phrase? A. The product of 9 and a number t. B. The difference of a number x and 1/2 c. The sum of a number m and 7.1
Answer:a) 9 x t
b) x - 1/2c
c) m + 7.1
Step-by-step explanation:
STEP 1
Giving the algebraic expression becomes
A- The product of 9 and a number t. = 9 X t
B. The difference of a number x and 1/2 c= x - 1/2 c
C. The sum of a number m and 7.1 = m + 7.1
Step 2
The answers are
a) 9 x t
b) x - 1/2c
c) m + 7.1
You have some money in your
pocket in the morning. You buy a book for $12 in the afternoon. When you get
home, you have $28. How much money did you have in the morning
Answer:$40
Step-by-step explanation:
x-12=28
+12. +12
X=40
F(x)=3x-6
X=-4
Need sender ASAP
Answer:
-18
Step-by-step explanation:
3(-4) - 6
-12 - 6 = -18
If r + t = 10 and -r + t = 4, What is the value of 5r + 8t?
Answer:
71
Step-by-step explanation:
Start solving using simultaneous equation,From there, we have r to be 3 and t to be 7
Please help I don’t know this question .
x = 6
AB = 11
BC = 22
Hope that helps :)
Liam is setting up folding chairs for a meeting. if he arrange the chairs in seven rows of the same length he has five chairs left over. if you arrange the chairs in five rows of the same length he has 15 left over. how many chairs does Liam have?
Answer: 75
Step-by-step explanation:
This should help you
Assignment
Examine the algebra tiles screen.
Which equation is being modeled?
0-4x + 3 = 2x + 1
IL
3x + (-4) = x + 2
0 - 4x + 3 = x + 1
O 3x + 4 = x + 2
Answer: 3x + (-4) = x + 2
Step-by-step explanation:
Hope it helps
Answer:
3x + (–4) = x + 2
Step-by-step explanation:
Try These.
2/3*(-7)8.
Answer:
-7/12
Step-by-step explanation:
2/3×-7/8
= -7/12
Answer:
-7/12
Step-by-step explanation:
2/3×(-7)/8
2×(-7) = -14
3×8 = 24
-14/24= -7/12
Which describes the pattern in the sequence shown?
3,7,15,31...
Multiply a term by 3 and subtract 2 to get to the next term
Add 4 to a term to get the next term
Each Term is the sum of the two preceding terms plus 5
O Multiply a term by 2 and add 1 to get the next term
Answer:
multiply a term by 2 and add 1 to get the next term
Step-by-step explanation:
3×2=6 +1 =7
7×2=14+1= 15
15×2=30+1=31
Answer:
Multiply a term by 2 and add 1 to get the next term
Step-by-step explanation:
The first differences of terms are ...
7 -3 = 4
15 -7 = 8
31 -15 = 16
We notice that these increase by a factor of 2. This signifies an exponential sequence. That factor (2) will be the value that each term is multiplied by to get the next. This eliminates the choices "add 4" and "multiply a term by 3 ...".
Trying the remaining two choices, we find that the one that fits is the one shown above.
3+7 ≠ 15, so "the sum of the two preceding terms" doesn't work
2(3) +1 = 7; 2(7) +1 = 15; 2(15) +1 = 31, so "multiply by 2 and add 1" works fine
5/20
The pet shop has 2 dogs, 4 cats, and 5 hamsters. What is the ratio of dogs to all pets?
2:5
2:4
11:2
2:11
Muson
o
9:00
Answer:
total dogs= 2
total pets= 2+4+5=11
so, the ratio of dogs to all pets = 2/11
Step-by-step explanation:
Based on the number of all animals in the shop as well as the number of dogs, we can infer that the ratio of dogs to the others is 2 : 11
The first thing to do is to find the total number of animals in the shop:
= Dogs + Cats + Hamsters
= 2 + 4 + 5
= 11 animals
The ratio of dogs to the rest of the animals is:
= Number of dogs : Number of animals
= 2 : 11
= 2 : 11
In conclusion, the ratio is 2:11.
Find out more at https://brainly.com/question/20588583.
Why must trapezoids be congruent
3. (a) Calculate the compound interest over an amount of N$ 58 000 that is invested for 6 years at a rate of 5% pa
Answer:
The final balance is $78,243.04.
The total compound interest is $20,243.04.
Step-by-step explanation:
Year Principal Yearly Interest Total Interest Total Balance
0 58,000 0 0 58,000
1 58,000 2,967.39 2,967.39 60,967.39
2 58,000 3,119.21 6,086.6 64,086.6
3 58,000 3,278.79 9,365.4 67,365.4
4 58,000 3,446.54 12,811.94 70,811.94
5 58,000 3,622.88 16,434.82 74,434.82
6 58,000 3,808.23 20,243.04 78,243.04
Round 120 problems in 5 hours