Answer:
9 books
Explanation:
Number of animal books = 43
Number of art books = 29
So, total number of books
= Number of animal books + Number of art books
= 43 + 29
= 72
Number of books in each shelf, if divided equally
= Total number of books/Number of shelfs
= 72/8
= 9
So, each shelf has 9 books in it.
Find r and s. PLS HELP AND QUICK!
Answer:
r=12
S=24
Step-by-step explanation:
[tex] \tan(60) = \frac{12 \sqrt{3} }{r} \\ \sqrt{3} = \frac{12 \sqrt{3} }{r} \\ r = 12 \\ \\ \\ \sin(60) = \frac{12 \sqrt{3} }{s} \\ \frac{ \sqrt{3} }{2} = \frac{12 \sqrt{3} }{s} \\ s = 24[/tex]
I hope I helped you^_^
HELPPP PLZZZZ DUE SOONnnn
Answer:
x = 7, EF = 10, FG = 12
Step-by-step explanation:
EF = 4x - 18
FG = 3x - 9
EG = 22
EG = 22
EF + FG = 22
4x - 18 + 3x - 9 = 22
4x + 3x - 18 - 9 = 22
7x = 22 + 18 + 9
7x = 49
x = 7
EF = 4x - 18
EF = 4*7 - 18
EF = 28 - 18
EF = 10
FG = 3x - 9
FG = 3*7 - 9
FG = 21 - 9
FG = 12
David is the caption of the school soccer team. Last year, the team won four more games than it lost. If the team won 46 games, how many games did it lose?
Answer:
C
Step-by-step explanation:
Games lost=Games won - 4
Games lost=46-4=42
PROBLEM
9a
The breadth of a rectangle is 4 units less than its length. If the perimeter of the rectangle is
20 units, write a pair of linear equations to model the above situation, assuming the length to be l units
and the breadth to be b units.
Equation 1 :
Equation 2 :
Here, we are to find the length and the , breadth of the rectangle
The length of the rectangle = 7 units and Breadth of the rectangle = 3 units
Let
length = l units
Breadth = b units
Perimeter of the rectangle = 20 units
length is the distance measured along the longest dimension of an object
width is the wideness of an object
perimeter refers to the total measurements of an objects
The breadth of a rectangle is 4 units less than its length
If,
Length = l
Then,
b = l - 4
Perimeter of a rectangle = 2(length + breadth)
20 = 2{l + (l - 4)
20 = 2(l + l - 4)
20 = 2(2l - 4)
20 = 4l - 8
20 + 8 = 4l
28 = 4l
l = 28/4
l = 7
b = l - 4
b = 7 - 4
b = 3 units
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l=3cm, w=1cm, h=3cm what is the surface area of the rectangular prism
Answer: 30 cm2
Step-by-step explanation:
branliest please
Answer:
30 cm^2
Step-by-step explanation:
The surface area of a rectangular prism is given by the formula:
2 (lw + hw + hl)
Substitute the fomrula with the given dimensions:
2 ([3 x 1] + [3 x 1] + [3 x 3])
= 2 (3 + 3 + 9)
= 2 (15)
= 30
Hope this helps!
2^12÷2^(k/2 )= 32 find k
Answer:
k = 14
Step-by-step explanation:
Prime factorize 32
32 = 2 * 2 * 2 * 2 * 2 = 2⁵
[tex]\frac{2^{12}}{2^{\frac{k}{2}}}= 32\\\\\frac{2^{12}}{2^{\frac{k}{2}}}=2^{5}\\\\2^{12-\frac{k}{2}}=2^{5}[/tex]
Both sides base are same.So, compare exponents
[tex]12-\frac{k}{2}=5\\[/tex]
Subtract 12 from both side
[tex]-\frac{k}{2}=5-12\\\\-\frac{k}{2}=-7\\[/tex]
Multiply both sides by (-2),
[tex](-2)*(-\frac{k}{2})=-7*(-2)\\\\k = 14[/tex]
HELP PLS
18-8×2+10= ?
PLS HELP ME ON TTHIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION WHILE YOU ANSWER THE QUESTION!!
Which of the following is not a step in creating a box plot?
A. Order the data
B. Find the values for the five-number summary
C. Create a number line
D. Add all of the numbers in the data set and divide by the number of data items in the set
9514 1404 393
Answer:
D (compute the mean)
Step-by-step explanation:
A box plot is a visual representation of the 5-number summary of a set of data. It is plotted against a number line.
The 5-number summary of the data set is most easily determined from an ordered set of the data, so ordering the data is usually the first step. Since the 5-number summary is plotted against a number line, the next steps are finding the 5-number summary, and creating a suitable number line.
__
The business of adding the data and dividing by the number of data items is a description of computing the mean of the data. That value is not part of the 5-number summary, and is not needed in the creation of the box plot.
Trevor spent $27 and now has no money left. He had $___ before his purchase. He had $__before his purchase
Answer:
27
Step-by-step explanation:
What is the value of x in the equation -2 =5x + 3
Step-by-step explanation:
hope it helps you and please mark it brainliest answer
Hi! Any help is appreciated (:
Answer: Second Choice. √65
Step-by-step explanation:
Given information
a = 4
b = side (unknown)
c = 9
Given expression
b² = c² - a²
Substitute values into the expression
b² = (9)² - (4)²
SImplify by exponents
b² = 81 - 16
b² = 65
Square root both sides
√(b²) = √65
b = √65
Hope this helps!! :)
Please let me know if you have any questions
Answer:
√65
Step-by-step explanation:
Since this is a right triangle, we can use Pythagorean Theorem to solve for the missing side.
Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]
a = legb = legc = hypotenuseIn this instance, we are given a leg and the hypotenuse. Substitute the values into the theorem and solve for the missing side.
[tex]4^2+b^2=9^2\\\\16=b^2=81\\\\b^2=65\\\\b=\sqrt{65}[/tex]
Therefore, the value for the missing side is √65.
Help find the equivalent fraction with the correct steps please !
-2/5 x 6/-1 ÷ 5/-2
What’s the equivalent fraction ? Please help! Tysm (:
Answer:
: = ÷
[tex]\frac{-2}{5}*\frac{6}{-1} : \frac{5}{-2} = \frac{-12}{-5} : \frac{5}{-2} = \frac{12}{5}*\frac{-2}{5}=\frac{-24}{25}[/tex]
An equivalent fraction is -24 over 25.
Explain how to combine the terms 5x an 3x
Answer:
below
Step-by-step explanation:
In short, we will add both coefficients together to combine like terms.
3x + 5x → x(3 + 5) → 8x
If you have a value like 2x and 2, you cannot combine them because they do not have the same variable.
Best of Luck!
268×7{34_56}÷890
Ayudaaa
268×7(34-56)÷890
= -5159
Must click thanks and mark brainliest
Topic: Differential Calculus; limit of a function
Answer:
umm answer is 3 i think is this right?
0
Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)?
Answer:
(1c times 9/5) +32
That is the way to figure out °1c as 33.8°
Hope it helped
Please help me solve this quickly! Will give brainliest!
Answer:
y = 5[tex]\sqrt{6}[/tex]
Step-by-step explanation:
JLT forms the special 90-60-30 right triangle and the side length for the given measure follows as 2a-a[tex]\sqrt{3}[/tex]-a
since the side length that sees 90 degrees is 10 then x = 5
according to Euclidian theorem :
y^2 = LK*KI (LK = 15 -x, KI = 15)
y^2 = 10*15
y^2 = 150 find the root for both sides
y = 5[tex]\sqrt{6}[/tex]
Geometry, please answer question ASAP
Answer:
a)24
Step-by-step explanation:
since NM is a radius it comes in contact with the tangent at an angle 90
MLN is a triangle meaning sum of angles =180°
90+24+x=180
156+x=180
x=24°
29. SCUBA DIVING The sign shows the equipment rented or sold by a scuba
diving store.
a. Write two expressions to represent the total sales to rent 2 wet suits,
3 air tanks, 2 dive flags, and selling 5 underwater cameras.
b. What are the total sales?
The total sales to rent the diving items are :
2(17.25) + 3(15.50) + 2(5.00) + 5(18.99)
2(17.25 + 5.00) + 3(15.50) + 5(18.99)
The total sales to rent the diving items is : $185.95
Given the following rental cost:
Underwater Camera = $18.99
Air tank = $15.50
Wet Suit = $17.25
Dive Flag = $5.00
Expressions to represent the cost of :
2 wet suits, 3 air tanks, 2 dive flags and 5 underwater cameras
Price = price per item × quantity purchased
Expression 1 :
2(17.25) + 3(15.50) + 2(5.00) + 5(18.99)
Similarly, we could group items with the same quantity together :
2(17.25 + 5.00) + 3(15.50) + 5(18.99)
Using either of the two expressions above, the total sales can be calculated thus :
2(17.25 + 5.00) + 3(15.50) + 5(18.99)
2(22.25) + 3(15.50) + 5(18.99)
44.50 + 46.50 + 94.95
= $185.95
The expressions for the total sales to rent the diving items are given above with a total sales value of $185.95
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1. (01.03 LC)
Lillie is saving up for a trip she is taking with friends during her break from school. If Lillie's current monthly net pay is $490.00 and her monthly expenses are $387.10,
what percent of her net pay is left for savings? (2 points)
21%
27%
45%
Taking into account the definition of percentage, the correct option is: 21 percent of her net pay is left for savings.
First of all, the percentage represents a given quantity that establishes relationships between two quantities, using the number 100 as a reference.
That is, the percentage indicates what part of a total represents a quantity.
To obtain the percentage, the division must be made between the portion of the total and the total amount that belongs to the set, whose result is multiplied by 100.
In this case, if Lillie's current monthly net pay and her monthly expenses are $ 387.10, and I assume that the rest of the money is saved by Lillie, then the amount of money saved is $ 490 - $ 387.10 = $ 102.9.
Then:
portion of the total= amount of money saved= $102.9total amount= Lillie's current monthly net pay= $490So, the percentage is calculated as:
percentage= (102.9÷490) ×100
percentage= 0.21×100
percentage= 21%
The correct option is: 21 percent of her net pay is left for savings.
Learn more about percentage with this examples:
brainly.com/question/19295956?referrer=searchResultsbrainly.com/question/1301322?referrer=searchResultsChoose which is a statistical question: What are
the ages of the students in this class? or How
many pennies equal 1 dollar? Explain.
The statistical question is; "What are the ages of the students in this class?
What is a statistical question?A statistical question is always aimed at data collection which can subsequently used for analysis and decision making. Statistical questions are asked in the course of research.
Among the two questions, the statistical question is; "What are the ages of the students in this class?
Learn more about statistics:https://brainly.com/question/8058700
#SPJ1
divide the numbers 1 to 8 by 9. observe the decimal and discuss your observation of non terminating recurring decimal
Answer:
When dividing the numbers 1-8 by 9, we get whatever number was divided as a decimal in repeating form. For example, 2/9 = 0.22222...
Brainliest, please! I'm almost an Ace!
Step-by-step explanation:
1/9 = 0.11111...
2/9 = 0.22222...
3/9 = 0.33333...
4/9 = 0.44444...
5/9 = 0.55555...
6/9 = 0.66666...
7/9 = 0.77777...
8/9 = 0.88888...
An Aquarium’s dimensions are 3 1/4 ft x 2 ft x 1 3/4. What is the volume of the Aquarium?
Volume = length x width x height
Volume = 3 1/4 x 2 x 1 3/4 = 11 3/8 cubic feet
Answer:
11 3/8 ft^3
Step-by-step explanation:
The volume is given by
V = l*w*h
V = 3 1/4 * 2 * 1 3/4
Change the number to improper fractions
V = (4*3+1)/4 *2 * (4*1+3)/4
= 13/4 *2* 7/4
Rewriting
= 13/1 * 2/4 * 7/4
= 13/1 * 1/2 *7/4
= 91/8
Changing back to a mixed number
8 goes into 91 11 times with 3 left over
11 3/8 ft^3
On Monday a post office employee processed a batch of letters, on Tuesday she processed three times as many, and on Wednesday she processed 5,000 cards. In the 3 days she processed 15,000 letters. How many did she process on Tuesday
Let the number of letters processed on Monday = x
She processed 3 times letters on Tuesday.
Therefore, number of letters processed on Tuesday = 3x
Number of letters processed on Wednesday = 5000
Total number of cards processed in 3 days = 15000
Therefore, equation for the situation will be,
x + 3x + 5000 = 15000
4x = 15000 - 5000
4x = 10000
x = 2500
Since, number of letters processed on Tuesday = 3x
Therefore, number of letters processed on Tuesday = 3(2500)
= 7500
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The option which is not a solution of the equation 2x + 3y = 6 is:
(A) (0, 2)
(B) (1, 1)
(C) (-3, 4)
(D) (3, 0).
Answer:
Step-by-step explanation:
B OR TRUE
Jessie brought 3 1/5?cups of water on
a hike. If he drinks 2/5 cup of water
each hour, how many hours will he
have water for?
Answer:
8 hours
Step-by-step explanation:
3 1/5 cups, he drinks 2/5 cups every hour
to find the number of hours he has water for, divide the 2 numbers
3 1/5 = 16/5
16/5 divided by 2/5 is equal to 16/5 times 5/2
80/10 equals 8, so he will have water for 8 hours
you need to fill a water jug with 8.23 L. you filled it with 2.92 L and then added 3.14 more how much more water do you need?
can someone please help me solve this?
Answer:
-15
Step-by-step explanation:
df(x, y) / dy = lim (f(x, y+h) - f(x, y)) / h =
lim (e^x^2 - 15y - 15h - e^x^2 ‐ 15y) / h = lim -15h / h = -15
so, the first derivative of f(x,y) by y is simply a constant : -15
fy (x, y) = -15 for any and every values of x and y.
the fast track would be derivative calculation :
the derivative by y makes x a constant. and every constant is eliminated for derivation.
so, e^x^2 goes away (= 0 in the derivative).
that leaves -15y = -15×y¹. its derivative simply is
1×-15×y⁰ = -15
Two terms of a geometric sequence are given. Find the first five terms. Please help asap
Answer:
4, 8, 16, 32, 64
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
Given
a₇ = 256 and a₁₀ = 2048 , then
a₁ [tex]r^{6}[/tex] = 256 → (1)
a₁ [tex]r^{9}[/tex] = 2048 → (2)
Divide (2) by (1)
[tex]\frac{a_{1}r^{9} }{a_{1}r^{6} }[/tex] = [tex]\frac{2048}{256}[/tex]
r³ = 8 ( take the cube root of both sides )
r = [tex]\sqrt[3]{8}[/tex] = 2
Substitute r = 2 into (1)
a₁ × [tex]2^{6}[/tex] = 256
a₁ × 64 = 256 ( divide both sides by 64 )
a₁ = 4
Then
a₁ = 4
a₂ = 2a₁ = 2 × 4 = 8
a₃ = 2a₂ = 2 × 8 = 16
a₄ = 2a₃ = 2 × 16 = 32
a₅ = 2a₄ = 2 × 32 = 64
find the lowest number which leaves 3 as remainder when divided by 8,12 and 16
Answer:
147 is one such number and least number. This discussion on What is the least number which when divided by 8, 12 and 16 leaves 3 as the remainder in each case, butwhen divided by 7 leaves no remainder?
