Answer:
D. $2071.20
Step-by-step explanation:
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be $23.71 per thousand borrowed. The sum of those 48 payments is ...
48 × $23.71 = $1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000, so his total finance charge will be ...
finance charge = 15 × $138.08 = $2071.20 . . . matches choice D
Which equations have one solution and which have infinitely many solutions?
Answer:
Step-by-step explanation:
1). [tex]\frac{1}{2}g-4=2g-\frac{1}{2}g+4[/tex]
[tex]\frac{1}{2}g-4=\frac{3}{2}g+4[/tex]
Since left side of the given equation is not equal to the right side, there will be one solution to the given equation.
2). -2.1b + 5.3 = b - 3.1b + 5.3
-2.1b + 5.3 = -2.1b + 5.3
Since left side of the equation is exactly same as right side of the equation.
Equation will have infinitely many solutions.
3). [tex]\frac{3}{4}w+\frac{5}{4}=\frac{10}{4}-\frac{3}{4}w[/tex]
[tex]\frac{3}{4}w+\frac{5}{4}=\frac{5}{2}-\frac{3}{4}w[/tex]
Since left side of the given equation is not equal to the right side, there will be one solution to the given equation.
4). 5.7c - 1.5 + 3.2c = 7.8c - 1.5 + 1.1c
8.9c - 1.5 = 8.9c - 1.5
Left side of the equation is same as right side of the equation.
Therefore, there will be infinitely many solutions of the equation.
Answer:
C and f
Step-by-step explanation:
Hope this helps
mr.wright judges the annual jelly bean challenge at the summer fair.every year he encourages the citizens in his town to guess the number of jelly beans in the jar.he keeps in record of everyones guesses and the number of the jelly beans each person was off by. what is the independent and dependent quantity?
Answer: Independent quantity : number of jelly beans in the jar guessed.
Dependent quantity : number of the jelly beans each person was off by.
Step-by-step explanation:
Independent quantity : A quantity that the experimenter can change or control.Dependent quantity : A quantity that depends on each independent quantity.In the given scenario, there are two quantities introduced:
number of jelly beans in the jar guessed. number of the jelly beans each person was off by.Since, "number of the jelly beans each person was off by." depends on "number of jelly beans in the jar guessed.".
So,
Independent quantity : number of jelly beans in the jar guessed.
Dependent quantity : number of the jelly beans each person was off by.
Find the perimeter of the following rectilinear figure.
Answer:
54
Step-by-step explanation:
see attached
Antonia bought a set of dishes, a towel, and a candle at a housewares store. The set of dishes cost $35.67, the towel cost $21.73,
and the candle cost $9.16 before any coupons or discounts.
She used a $0.50-off coupon on the candle, a $2.75-off coupon on the towel, and the set of dishes was on sale for 10% off the
regular price. Which of the following best describes the amounts that Antonia saved?
What if the following choices will simplify 7-5(3)^2
answers:
1)18
2)12
3)-38
4)None of the choices are correct
Answer:
-38
Step-by-step explanation:
7-5(3)^2
PEMDAS
Since there are no parentheses to execute
Exponents next
7-5(3)^2
7-5*9
Multiply and divide next
7 - 45
-38
Danny is painting a doghouse to make it durable he will paint all sides including the bottom the dog house is shaped like a rectangular prism with a triangular prism on top as shown how many cans of paint does Danny need to cover the doghouse if each can covers 20ft squared
Answer:
15 cans
Step-by-step explanation:
There are two shapes that make up the dog house, they are the triangular and rectangular prism, with the combination of a semi-circle and rectangle as the door opening.
The area of a rectangle for the top ( T ) and bottom ( B ) side view:
top height = 3ft, and width= 8ft
bottom height = 4.5ft, width= 8 ft
Area ( T ) = 3 X 8 = 24 ft^2
Area ( B ) = 4.5 X 8 = 36ft^2
The front and back view is a triangle and rectangle:
area of triangle = 1/2 x base x height
with the base = 4ft, and sides= 3 ft
height = sqrt( side^2 - (1/2 height)^2 )^0.5
= sqrt( 9 - 4 ) = 2.235
area of triangle( front and back ) = 1/2( 4 x 2.235 ) = 4.47 ft^2
area of rectangle ( back ) = 4 x 4.5 = 18ft
The entrance is a rectangle with area = 2.5 x 2 = 5ft^2
and semi-circle with area = (πr^2)/2 = (3.14 x 1^2)/2 = 1.57ft^2
area of entrance = 5 + 1.57 = 6.57ft^2
area of front view = 18 - 6.57 = 11.43ft^2
the total area of the doghouse is = 11.43 + 18 + 72 + 48 + 8.94 = 158.37ft^2
this is for just the outside. to get the total for inside and outside:
158.37 x 2 = 316.74ft^2
total area per paint can = 20ft^2
total number of cans needed = 316.74 / 20 = 15 paint cans
Answer:
6 cans are needed to paint the dog house.
Step-by-step explanation:
Please answer this question now
Answer:
11 yd
Step-by-step explanation:
To find the volume of a rectangular prism, we multiply the width, length and height.
We already know the length, 18, and the height, 11, and the volume, 2178, so we can easily solve for y.
[tex]18\cdot y\cdot11=2178\\192y=2178\\y = 11[/tex]
Hope this helped!
2.3 repeating as a fraction
Answer:
First, we can write:
x = 2 . ¯ 3
Next, we can multiply each side by 10 giving:
10 x = 23 . ¯ 3
Then we can subtract each side of the first equation from each side of the second equation giving:
10 x − x = 23 .¯ 3 − 2 . ¯ 3
We can now solve for x as follows:
10 x − 1 x = ( 23 + 0 . ¯ 3 ) − ( 2 + 0 . ¯ 3 ) ( 10 − 1 ) x = 23 + 0 . ¯ 3 − 2 − 0 . ¯ 3
9 x = ( 23 -2 ) + ( 0 . ¯ 3 − 0 . ¯ 3 )
9 x = 21 + 0
9 x = 21
9 x /9 = 21 /9
9 x /9 = 3 × 7 /3 × 3
x = 3 × 7 /3 × 3
x = 7 /3
Hope this helps!
Plz mark brainliest! ☜(ﾟヮﾟ☜)
I need help super fast
Answer:
The last option
Step-by-step explanation:
When you have a fraction as a power, the denominator goes to the root, so in this case, it becomes root 4. The base, 5, goes to the outside, and the numerator 1, goes beside the x.
Hope this helps!
p
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q
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RM
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In the diagram, O is the centre of the circle. If PQII
RS and LONS = 140°, find the size of ZPOM.
ono
Answer:
where is the diagram
A dress shop bought material for £4.65 a metre and sold it for £6.90 a metre. How much
profit would be made on a roll of 30 metres?
Answer:
£67.50
Step-by-step explanation:
On each metre of material, the shop makes a profit of ...
£6.90 -4.65 = £2.25
So, for 30 metres, the profit will total ...
30 × £2.25 = £67.50
A profit of £67.50 would be made on a 30-metre roll of material.
find y.
picture attached
Find the GCF of 15 and 25
15 factors into 5*3
25 factors into 5*5
The common factor is 5, and this is the largest common factor between 15 and 25.
Use inverse operations to solve each equation. Explain each step and identify the property used to reach step. 19 = h/3 - 8
==================================================
Explanation:
19 = h/3 - 8
19+8 = h/3 - 8+8 .... see note 1
27 = h/3
h/3 = 27
3*(h/3) = 3*27 .... see note 2
h = 81
----------
note 1: We add 8 to both sides to undo the "minus 8". This is the addition property of equality. Addition is the inverse of subtraction. note 2: We use the multiplication property of equality. This is where we can multiply both sides by the same number and keep the equation the same (basically balancing both sides). Multiplication is the opposite of division.what is x+2/-1 = 3? i need to know
Answer:
x=-5
Step-by-step explanation:
-5+2=(-3)
-3*(-1)= 3
Answer:
x=-5
Step-by-step explanation:
(x+2)/-1 = 3
Multiply each side by -1
(x+2)/-1 * -1 = 3*-1
x+2 = -3
Subtract 2 from each side
x+2-2 = -3-2
x = -5
What is the value of c? inscribed angles (Image down below)
Answer:
70
Step-by-step explanation:
C and 110° are opposite angles of a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
[tex] \therefore \: c \degree + 110 \degree = 180 \degree \\ \therefore \: c \degree = 180 \degree - 110 \degree \\ \therefore \: c \degree = 70 \degree \\ \therefore \: c = 70 [/tex]
In a given set of data, if the variance is 25, what is the standard deviation? *
Explanation: apply the square root to the variance to get the standard deviation
standard deviation = sqrt(variance)
variance = (standard deviation)^2
Based on the variance of the set of data and the definition of standard deviation, the standard deviation here must be 5.
Standard deviation allows us to measure how far apart variables are in a data set.
It is calculated as:
= √Variance
= √25
= 5
In conclusion, the standard deviation is 5 .
Find out more at https://brainly.com/question/14283696.
20 points! I would really like some help! :) (Question attached below)
Answer:
See below.
Step-by-step explanation:
(a)
To multiply two polynomials, multiply every term of the first polynomial by every term of the second polynomial. Then combine like terms.
[tex] (\dfrac{1}{2}x - \dfrac{1}{4})(5x^2 - 2x + 6) = [/tex]
[tex] = \dfrac{1}{2}x \times 5x^2 - \dfrac{1}{2}x \times 2x + \dfrac{1}{2}x \times 6 - \dfrac{1}{4} \times 5x^2 + \dfrac{1}{4} \times 2x - \dfrac{1}{4} \times 6 [/tex]
[tex]= \dfrac{5}{2}x^3 - x^2 + 3x - \dfrac{5}{4}x^2 + \dfrac{1}{2}x - \dfrac{3}{2}[/tex]
[tex] = \dfrac{5}{2}x^3 - \dfrac{9}{4}x^2 + \dfrac{7}{2}x - \dfrac{3}{2} [/tex]
(b)
No. Since the binomials are different, the product of two different binomials and the same trinomial will give different results.
graph a
graph b
graph c
graph d
which of the following isthe√×51? answer is A .0-1
Which of the following statements about fractions is not true? a. Proper fractions have a greater numerator than denominator b. Improper fractions are percentages greater than 100% c. Mixed fractions can be written as improper fractions d. The product of a fraction and its reciprocal is 1
Answer:
c
Step-by-step explanation:
Answer:
A. Proper fractions have a greater numerator than denominator.
|3x–1|=8 please help!!!!!
Answer: -3
Add 1 to both sides
[tex]3x-1+1=8+1[/tex]
[tex]3x=9[/tex]
Divide both sides by 3
[tex]3x/3=9/3\\x=3[/tex]
Madison needs to buy enough meat to make 1,000 hamburgers will weigh 0.25 pound. How many pounds of hamburger meat should Madison buy
Answer:
Madison is gonna need to buy 250 pounds of meat.
Feel free to Brainliest :)
5. Find the product of p(x) and q(x) if p(x) = 2x+7 and q(x) = 4x-9
a. Is p(x) a polynomial? If not, give an explanation.
b. Is q(x) a polynomiala If not, give an explanation.
c. Is the product a polynomials If not, give an explanation,
d. If the product is a polynomial, identify type and degree.
Answer:
p(x), q(x), and their product are all polynomials.
p(x) · q(x) = 6x² + 10x - 63
Step-by-step explanation:
First of all P(x) and q(x) are polynomials because polynomials refer to any sum, difference, or product of a collection of algebraic terms. The word polynomials is general. P(x) and q(x) are polynomials but more specifically they are binomials since they only have two terms. Their product is a polynomial as well, but more specifically its a trinomial because it has three terms.
process of multiplying
Using the distributive property (or foil method) when multiplying p(x) and q(x) you would first get the expression 6x² - 18x + 28x - 63. From here you would combine "like terms". This would give you your final answer of
6x² + 10x - 63. Sorry, I couldn't help you with the D question but I hope this helps ;)
A box contains 20 oranges and 10 grapes what is the probability of picking a grape from the box?
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
First, let's find how many total items there are in the box.
If there are 20 oranges and 10 grapes, then there are [tex]20+10=30[/tex] items in the box.
Now, if there are 10 grapes in this box, we know that the probability of picking a grape is [tex]\frac{10}{30}[/tex] because the total is the denominator and the number of items for that selection is the numerator.
We can simplify this fraction down to [tex]\frac{1}{3}[/tex].
Hope this helped!
Answer:
1/3
Step-by-step explanation:
Simplify the radical
Answer:
Step-by-step explanation:
[tex]\sqrt[3]{54c}=\sqrt[3]{3*3*3*2c} =3\sqrt[3]{2c}[/tex]
Simplify the expression. (6x – 5) + (4x2 – 3x + 4)
[tex](6x - 5) + (4x^2- 3x + 4)=\\6x-5+4x^2-3x+4=\\4x^2+3x-1[/tex]
In the cafeteria, 100 milk cartons were put out for breakfast. At the end of breakfast, 27 remained. What is the ratio of the number of milk cartons taken to the total number of milk cartons?
The total is 100 cartons.
So, if there are 27 remained, that's means that 73 milk cartons were taken (100 - 27 = 73).
The ratio is [tex]\frac{73 (number of milk cartons taken)}{100 (total)}[/tex]
or 73%
what's the correct answer to this...?
Answer:
-13
Step-by-step explanation:
f(-2) = 3(-2) - 7
f(-2) = -6 - 7
f(-2) = -13
f(-2) means to replace x with -2 in the equation and solve:
3(-2) - 7 = -6 - 7 = -13
The answer is -13
A study of parents of kindergarteners included 349 parents who were chosen at
random. Of these parents, 47% said they sent their children to pre-kindergarten. School
records show that only 31% of parents of kindergarteners sent their children to pre-
kindergarten. Identify the statistic and the parameter.
Three hundred forty-nine is the parameter and 47% is the statistic.
Three hundred forty-nine is the statistic and 47% is the parameter.
Three hundred forty-nine is the parameter and 31% is the statistic
Forty-seven percent is the parameter and 31% is the statistic
Forty-seven percent is the statistic and 31% is the parameter
Answer:
Forty-seven percent is the statistic and 31% is the parameter
Step-by-step explanation:
Various terms are used in mathematics when it comes to carrying out particular studies in statistics.
A) Parameter
A parameter when is comes to statistical studies can be defined as the term that tells us more about a group or population of people.
B) Statistic
Statistic is a measure that tells us about is a characteristic of a sample or part of a given population.
In the above question, we are told that: a study of parents of kindergarteners included 349 parents who were chosen at random. Of these parents, 47% said they sent their children to pre-kindergarten. School records show that only 31% of parents of kindergarteners sent their children to pre- kindergarten.
According to the definition of Parameter and Statistic that I explained above,
A) The Parameter is 31% . This is
because it tell us about percentage ( a sample) of parents whose children are in kindergarten that sent their children to prekindergarten first.
B) The Statistic is 47% . This is because, it tell us about the percentage of parents that sent their children to prekindergarten.
i'm doing domain and range, and I'm kinda having a hard time with this... can someone help?
Answer:
Domain : any real number
Range : y ≥0
Step-by-step explanation:
The domain is the values that x can be
X can be any real number
The range is the values the y can be
Y can be zero or any positive value since y = x^2
Domain : any real number
Range : y ≥0
Answer:
[tex]\boxed{\sf Option \ A}[/tex]
Step-by-step explanation:
[tex]y=x^2[/tex]
[tex]\sf The \ domain \ of \ a \ function \ is \ all \ possible \ values \ for \ x.[/tex]
[tex]\sf There \ are \ no \ restrictions \ on \ the \ value \ of \ x.[/tex]
[tex]\sf The \ domain \ is \ all \ real \ numbers.[/tex]
[tex]\sf The \ range \ of \ a \ function \ is \ all \ possible \ values \ for \ y.[/tex]
[tex]\sf When \ a \ number \ is \ squared \ the \ result \ is \ always \ greater \ than \ or \ equal \ to \ 0.[/tex]
[tex]\sf The \ range \ is \ \{y:y\geq 0\}[/tex]
