Maria need 12 fiction books.
Multiplication table: A multiplication chart is a table that shows the products of two numbers. Usually, one set of numbers is written on the left column and another set is written as the top row. The products are listed as a rectangular array of numbers.
Given that She wants to make packages that have 3 fiction books and 4 nonfiction books. She already has 9 fiction books
Step 1
Complete the rows for 3 and 4 on multiplication table
Fraction : 3,6,9,12, 15, 18, 21, 24,27,30.
Notification : 4,8,12,16,20,24,28,32,36,40.
Step 2
Read across the top until you reach 9. The corresponding number bottom row.
The top untill you reach 9 the corresponding number bottom row is 12
Maria need 12 fiction books.
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Ben bought a house for $78,850 and received a rebate of 15% off. He paid 6% in sales tax. How much did he save?
$525
Step-by-step explanation:
Ben bought the house for $78,850 so 78,850 divided by 0.15 equals 525. So the answer is $525.
7 x 7 - 2 ( 11/8 - 3/8 ) pls help me
It's 47. I used a calculator.
Write an equation of the line with the given slope and the given y-intercept. Express the answer in standard form.
[tex]slope \frac{5}{8} , y-intercept (0,\frac{1}{4} )[/tex]
Answer:
5x - 8y = -2
Step-by-step explanation:
m = 5/8, x = 0, y = 1/4
so y = mx + b
1/4 = 5/8(0) + b
b = 1/4
so y = 5/8x + 1/4
8y = 5x + 2
5x - 8y = -2
Identify the number of solutions of the system Of a linear equation. X+3y-z=2. X+y-z=0 3x+zy_3z=-1
System of liner equation [tex]x+3y-z=2[/tex],[tex]x+y-z=0[/tex] and [tex]3x+2y-3z=-1[/tex] has no solution.
What do you mean by system of linear equation?
A set of two linear equations with two variables is a system of linear equations.
Given:
[tex]x+3y-z=2[/tex] ---1
[tex]x+y-z=0[/tex] ---2
[tex]3x+2y-3z=-1[/tex] ---3
Rearranging the equation 2
[tex]z=x+y[/tex] ---4
Putting equation 4 in equation 1
⇒ [tex]x+3y-(x+y)=2[/tex]
⇒ [tex]x+3y-x-y=2[/tex]
⇒ [tex]2y=2[/tex]
⇒ [tex]y=1[/tex]
Putting equation 4 in equation 3
⇒ [tex]3x+2y-3(x+y)=-1[/tex]
⇒ [tex]3x+2y-3x-3y=-1[/tex]
⇒ [tex]-1y=-1[/tex]
⇒ [tex]y=1[/tex]
Putting value of y above
⇒ [tex]1=1[/tex]
Therefore, system of liner equation has no solution.
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5(2y-3)=40y what is the answer to this question
Answer:
y=-2
Step-by-step explanation:
5(2y-3)=40y
10y-15=40y
-15=30y
-2 = y
y = -2
Identify the terms, coefficients, and the constants in the expression. 11q + 2
The term, coefficient and constant in the expression are 11q, 11 and 2 respectively.
What are the parts of an algebraic expression?The parts of an algebraic expression are;
TermsCoefficientsConstantsTerms: A term can be defined as a number, a variable, or the product of two or more variables or that of a product of a number and a variable.
The term is 11q
Coefficients: A coefficient is defined as an integer multiplied by the variable.
The coefficient is 11
Constants: A constant is a number that do not change.
The constant is 2
Thus, the term, coefficient and constant in the expression are 11q, 11 and 2 respectively.
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Find the measure of the exterior angle.
(Click document to see image.)
Answer:
65°
Step-by-step explanation:
Exterior angle property:Exterior angle of a triangle equals the sum of opposite interior (remote) angles.
3x - 10 = x + 15 + 25
3x - 10 = x + 40
Add 10 to both sides,
3x = x + 40 + 10
3x = x +50
Subtract 'x' from both sides,
3x- x = 50
2x = 50
Divide both sides by 2
x = 50÷ 2
x = 25
Exterior angle = 3x -10
= 3*25 - 10
= 75 - 10
= 65°
Please help i will give brainliest :)
24.
How would the following triangle be classified?
isosceles acute
scalene right
isosceles right
Scalene acute
A seven-digit number has a 9 in the thousands place, a 2 in the
hundred thousands place, a 6 in the greatest place-value position, a 4
in the ten thousands place, a 1 in the tens place, a 5 in the least
place-value position, and a 7 in the hundreds place. What is the
number?
Answer: 6,249,715
Step-by-step explanation:
The number sequence is built like this:
Millions , hundred thousands + ten thousands + thousands , hundred + tens
+ ones
The millions place is the greatest value here, and the ones place is the least value in every situation involving whole numbers.
Julian saved between $30 and $52
over the summer. His friend Daniela
saved twice as much. Let n represent
the amount of money Daniela saved.
What is the compound inequality?
The compound inequality is 60 < n < 104.
Let 'x' denote the amount of money saved by Julian.
Then x is between $30 and $52.
I.e., x>30 and x<52.
This can be written as a single inequality by combining the both.
i.e., 30 < x < 52
His friend Daniela saved twice as much as Julian.
Let 'n' denotes the amount of money Daniela saved.
Then n = 2x
We need to write the compound inequality for the money saved by Daniela.
As Daniela saved twice as much as Julian, it will be between 2 x 30 = $60 and 2 x 52 = $104
So the compound inequality is 60 < n < 104.
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Find the exact value of the trigonometric function of 0 from the given information.
sin 0=
4
5'
tan 00, find sec 0
The value of the trigonometric function secθ is 3/4.
Given the value of the trigonometric function sinθ is 4/5
we know that sinθ = Perpendicular (P)/Hypotenuse(h)
Therefore, sinθ = 4/5;
perpendicular (p) = 4 and
hypotenuse (h) = 5
In trigonometry, the secant function is a periodic function. The ratio of the hypotenuse's length to the base's length in a right-angled triangle is known as the secant function, or sec function. It is also written as sec x = 1 / cos x since it is the reciprocal of the cosine function.
secθ = base(b) / perpendicular(p)
Therefore, Base (b) = √(h² ₋ p²)
= √(5² ₋ 4²)
= √(25 ₋ 16)
= √9
= 3
Now, therefore secθ = base(b) / perpendicular(p)
= 3/4
Hence we get the value of secθ as 3/4.
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Describe the transformation from the graph off to the graph of g. PLEASE HELP!
Answer:
translation 3 units up: g(x) = f(x)+3
Step-by-step explanation:
You are given graphs of f(x) and g(x) and want to know the transformation that gives g(x) from f(x).
Transformations of graphsThe sorts of transformations of graphs that we study are translation, scaling (horizontally or vertically), and reflection about an axis.
Here, both graphs have the same shape, but one is in a different place than the other. The applicable transformation is one of translation.
TranslationThe vertex of f(x) is at (0, -1). The vertex of g(x) is at (0, 2). We note the x-value has not changed, but the y-value has had 3 added to it. (-1 +3 = 2)
g(x) = f(x) +3 . . . . . . the function f is translated 3 units upward.
1. The height of a right triangular prism is 1 inches. Each side of the triangular base measures 10 inches, and the height of the base is 82 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism's bases lies completely on one side of the cube.
What is the surface area of the solid formed?
If a right triangular prism's height is 1 inch. The produced solid has the following surface area: = 2,930.05 in².
Right triangular prism describing:A polyhedron with six vertices, nine edges, and five faces is a right triangular prism. Regular prisms have all of their triangles faces equilateral. The prism's rectangular faces will be congruent in this situation.
What is the method for determining a triangular prism's total surface area?A triangular prism's total surface area is the sum of the areas of its three lateral faces (rectangles) as well as two bases (triangles). For something like the surface area of any prism, the most generic formula is:
According to the given data:Given:
Hight = 1 inches
Base of the prism = 10 inches.
The Hight if the base = 82 inches.
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)
Surface area = 5(10× 10) + (0.5÷ 10 × 1) + 3(10× 82)
Surface area = 5(100) +0.05+ 3(810)
Surface area = 500 +0.05 + 2430
Surface area = 2,930.05 in²
The produced solid has a surface area of approximately = 2,930.05 in².
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(b) After his first month he had more than he expected to have due to interest the bank provided. This let
Rob come up with a better expression, w^2/25 +45w+155, where w is the number of weeks. How much will he have in 1 year?
The amount he is expected to have due to interest in the bank after a year is; $2603.16
How to solve algebraic equations?We are given the equation;
w²/25 + 45w + 155
where;
w is number of weeks
Now, this equation above represents the function of the amount he is expected to have due to interest in the bank. Thus;
After 1 year, the number of weeks is 52 weeks. Thus, we now have;
A(52) = 52²/25 + 45(52) + 155
A(52) = $2603.16
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Find the measure of indicated angle or solve variable if necessary
Value for the 3 straight lines are 180,28 , 152.
What is a straight line, exactly?
Simply put, a straight line is a line devoid of bends. A straight line is one that does not curve and reaches to infinity on both sides.
CBE = 28 + 90 = so the angle is 118 degrees
ABF = you already got the answer written down, 28
CBA = this is not 180 like you wrote, CBA = ABD - CBD
Straight lines = 180, so ABD = 180
You already found out that CBD = 28
so CBA = 180 - 28 so the answer CBA = 152
So, answers for the 3 lines are 180,28 , 152
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what is the domain of h
h: The domain
-5 ≤ x ≤ 5
A mother wants to invest $13000 for her children's education. She invests a portion of
the money in a bank certificate of deposit (CD account) which earns 4% and the
remainder in a savings bond that earns 7%. If the total interest earned after one year is
$780, how much money was invested at each rate?
The amount invested at 4% is $4,333.33
The amount invested at 7% is $8,666.67
What represents the amount invested at 4%?
Let assume that x is the amount invested in the bank certificate of deposit (CD account) which earns 4%, in essence, the interest earned at 4% is the amount of money invested multiplied by 4%
interest at 4%=4%*x=0.04x
amount invested at 7%=13000-x
interest at 7%=7%*(13000-x)
interest at 7%=910-0.07x
total interest=0.04x+910-0.07x
total interest=910-0.03x
total interest earned=780
780=910-0.03x
0.03x=910-780
0.03x=130
x=130/0.03
x=amount invested at 4%=$4,333.33
amount invested at 7%=$13,000-$4,333.33
amount invested at 7%=$8,666.67
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Write the expression |x − 9| + |x − 6| without the absolute value symbols if x is in the given interval.
(−∞, 1)
Recall the definition of absolute value.
[tex]|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}[/tex]
Now,
[tex]x<1 \implies x-9 \le -8 < 0 \implies |x-9| = -(x-9) = 9 - x[/tex]
and
[tex]x<1 \implies x-6 \le -6 < 0 \implies |x-6| = -(x-6) = 6 - x[/tex]
so that
[tex]|x-9| + |x-6| = (9-x) + (6 - x) = \boxed{15 - 2x}[/tex]
Keilantra has $660 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $488.20.
She buys 2 bicycle reflectors for $11.17 each and a pair of bike gloves for $19.05.
She plans to spend some or all of the money she has left to buy new biking outfits for $37.26 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Keilantra can purchase while staying within her budget.
The number of outfits she can buy is 3.
How many outfits can she buy?The The first step is to determine the total cost of all the items already bought.
Total cost = cost of new bicycle + (cost of one reflector x number of reflectors) + cost of the gloves
$488.20 + (2 x $11.17) + 19.05
$488.20 + 19.05 + $22.34 = $529.59
Now, determine the amount that is left to buy the outfits :
$660 - $529.59 = $130.41
Here are inequality signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The inequality sign that would be used is ≤
(cost of one outfit x number of outfits) ≤ amount left
$37.26x ≤ $130.41
x ≤ 130.41 / 37.26
x ≤ 3.5
x = 3
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Compare the number of cars in the world to those that are in the United States.
Select the correct answer. Julie ran a race 2 minutes faster than Teri did. If Julie ran the race in 28 minutes, which equation can be used to find the number of minutes, m, it took Teri to run the race? A.m+2=28 B.m-2=28 C.2m=28 D.1/2m=28
Answer:
Step-by-step explanation:
its A. If julie ran 2 minutes more, then your simply adding 2 minutes to whatever teri got to get 28 (what julie got).
Which expression are equivalent to 13^6 divide by (13^8)(13^-4)/13^-2
To the nearest 10 thousand
When the number given of 15,587,252 is rounded off to the nearest 10 thousand, the result would be 15,590,000.
How to round to the nearest ten thousand?When rounding to the nearest ten thousand, you would look at the thousands number which is the 4th number before the decimal.
If this digit if more than 5, then you round the ten thousandth digit up to the nearest whole number. If the digit is less than 5, then you round down.
The number 15,587,252 has the thousands number as 7 which is more than 5 so the ten thousands number will be round up to:
= 15,590,000
Rest of the question:
Find out 15,587,252 to the nearest 10 thousand.
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Two factory plants are making TV panels. Yesterday, Plant A produced 10,000 panels. Three percent of the panels from Plant A and 10% of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 5%
If the overall percentage of the defective panels from the two plants is 5% then plant B produced 4000 panels in total.
This question can be solved by formulating the problem into the form of a linear equation having two variables. Linear equation in two variables can be represented in the form of ax+by+c=0 where a, b and c are real numbers and x, y are variables or the coefficients, and a, b ≠ 0.
Let the production from plant A be x, and according to the question x=10000.
Also, let the production from plant B be y.
Now, as 3% of products are found defective from plant A and 10% of products are found defective from plant B and overall defective products is 5%.
Thus, 0.03x+0.1y=0.05(x+y)
As x=10000 then
0.03×10000+0.1y=0.05(10000+y)
300+0.1y=500+0.05y
0.05y=200
=>y=4000
Thus, the total number of panels produced by plant B is equal to 4000.
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A square acre of land is 5,280 square yards.
Between which two integers is the length of one side?
Between 17 and 18 yards
Between 72 and 73 yards
Between 24 and 243 yards
Between 1,320 and 1,321 yards
The two integers which the length of one side is in between are 72 yards and 73 yards
How to determine between which two integers is the length of one side?The given parameters are
Area = 5280 square yards
Shape = Square
The area of a shape is calculated using
Area = Length^2
So, we have
Length^2 = 5280 square yards
Take the square root of both sides
Length = 72.66 yards
72.66 yards is between 72 yards and 73 yards
Hence, the two integers which the length of one side is in between are 72 yards and 73 yards
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Pls solve a question on my hw (1/5)p=15
For this 10-point assignment, please describe the context of the mathematics by doing the following:
• Explain how circles are related to the Pythagorean Theorem. You may include triangles in your discussion, too.
• One city is located at (45, -123) and the other is located at (53.65, -6.7). describe how you would compute the distance between the
cities, momentarily ignoring the curvature of the Earth (what would you do if you didn't ignore the curvature?).
Circles are related to Pythagorean theorem in the sense that the equations are alike and the sides conforms to:
radius ≅ hypotenuse(x2 - x1)^2 ≅ opposite(y2 - y1)^2 ≅ adjacentThe distance between the two cities is 116.62 units (ignoring curvature)
If the curvature is not ignored then we sort for the angle subtended
How to compare circle to Pythagorean theoremThe Pythagorean theorem relates the square of hypotenuse, square of the opposite, and the square of the adjacent as follows
hypotenuse^2 = opposite^2 + adjacent^2 equation 1
Representing a circle in a coordinate axis will give it values in coordinate form. Assuming the coordinate of the center is (x1, y1) and a point in the circumference is (x2, y2). The radius of the circle, r is given as
r^2 = (x2 - x1)^2 + (y2 - y1)^2 equation 2
comparing equation 1 and 2 shows that
radius ≅ hypotenuse, (x2 - x1)^2 ≅ opposite, and (y2 - y1)^2 ≅ adjacent
How to find the between two citiessay A = (45, -123)
say B = (53.65, -6.7)
Let the distance between the two cities be d
d^2 = (53.65 - 45)^2 + (-6.7 - (-123) )^2
d^2 = 8.65^2 + 116.3^2
d = √13600.5125
d = 116.62 units (ignoring the earth curvature)
if the curvature is not ignored then we look for the angle subtends
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The table below displays the student loan balances for two college graduates in 2010 (the year of their graduation).
2010
Mr. Jones
$6,400
Ms. Smith $27,200
Expand each part and complete the questions.
Part 1 - Mr. Jones
In the 3 years since graduation, Mr. Jones' loan balance has decreased by 71.4%. Calculate the change in his loan balance. Round your result
Between 2010 and 2013, Mr. Jones' student loan balance
Part 2-
Using proportions, the correct statement is given as follows:
Between 2010 and 2013, Mr. Jones' student loan balance decreased by 4750 dollars.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
His balance is only 100 - 71.4 = 28.6% of the initial balance of $6,400, hence it is currently of:
0.286 x 6400 = $1830.
The decrease was of:
6400 - 1830 = $4750.
Hence the correct statement is:
Between 2010 and 2013, Mr. Jones' student loan balance decreased by 4750 dollars.
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PLEASE HELP. STEP BY STEP NEEDED
So solutions of the linear quadratic systems are (-5,-3) and (1,3)
Given,
y = x²+5x -3 . . . . . . . . . .. ..1
y-x= 2 . . . . . .. . . . . . . . . . . 2\
From 1 and 2
y=x+2
substitute y=x+2 in 1
x+2= x²+5x -3
x²+5x -x-3-2 = 0
x²+4x -5=0
x²+5x-x -5=0
x(x+5) -1(x+5) = 0
(x+5)(x-1)=0
x= -5 and x=1
at x=-5
y=x+2=-5+2=-3
at x=1
y=x+2=1+2=3
So solutions of the linear quadratic systems are (-5,-3) and (1,3)
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