A bag contains 37 coins consisting of only dimes and quarters.The total amount of money in the bag is $6.85. How many dimes are in the bag ??
Answer:
16 dimes
Step-by-step explanation:
D=number of dimes
Q=number of quarters
D+Q=37
.25 xQ + .10 x D=6.85
sub Q from first equation
.25(37-D) + .10 x D=6.85
D(.10-.25) + .25 x 37 =6.85
-.15D + 9.25=6.85
D= (6.85-9.25)/(-.15)
D=16
2x + y = 5
4x + 2y = 0
Elimination
Lilly opens an account with $60. Each week she deposits $12. Write an expression to show the amount she has after w weeks.
Answer:
5 weeks
Step-by-step explanation:
so if Lily has $60 and takes out (subtracts) 12 a week then it would look like this
TOTAL STARTED WITH EACH WEEK
$60 -12 48
$48 - -12 36
$36 -12 24
$24 -12 12
$12 -12 0
SO Lily will have enough money to deposit for 5 weeks
HURRY: 20 POINTS TO THE WINNER
Answer:
1 gallon
Step-by-step explanation:
7/8 + 3/8 + 4/8 = 1 6/8
3/8 + 1/8 + 2/8 = 6/8
1 6/8 - 6/8 = 1
Answer:
Chocolate Sauce: 4/8
Strawberry Sauce: 2/8
Caramel Sauce: 2/8
Chocolate Sauce
Monday, the shop had 7/8, the shop used 3/8 on Tuesday. So we subtract the numerators but the denominator stays the same.
7 - 3 = 4
So it is 4/8
Same thing for Strawberry and Caramel Sauce.
So we add the totals we got from subtracting Monday amount of toppings with Tuesday's amount of toppings.
4/8 + 2/8 + 2/8 =
1 gallon**I hope this helped! :)
What is the exact value of sine of 8 pie/3
Answer:
0.1456858
Step-by-step explanation:
Hope it help
Answer:
−1/2
Explanation:
cos(8π/3)
=cos(8π/3 − 2π)
=cos(2π/3) = − cos (π/3) = −1/2
In the figure below, UX and UV are tangent to the circle centered at 0. The segment XV passes through the center of the
circle. Given that UX= 15.7 and XV = 8.5, find XW.
Help
Answer:
2.5
Step-by-step explanation:
The computation of the XW is shown below
As triangle UVX is a right angle
So
VU^2 = XU^2 - VX^2
VU^2 = 15.7^2 - 8.5^2
VU^2 = 246.49 - 72.25
VU^2 = 174.24
VU = 13.2
As VU = WX because of same point tangent
NOw XW is
= UX - UW
= 15.7 - 13.2
= 2.5
What is the radius of the circle? cm
What is the circumference of the circle?
Target pays a clothing company $12.00 for each tee shirt it buys. Target then sells each tee shirt to its own customers at a mark up rate of 25%. For how much does target sell each shirt?
Answer:
$15.00
Step-by-step explanation:
Multiply the original cost by 1.25 to represent the mark up rate.
Find the slope of the line that passes through these two points:
(-12, -1) and (-3,-4)
A pattern maker earns $25 per hour. She has monthly business expenses of $300. Her profit is the difference between
her monthly earnings and her monthly business expenses. How many hours will the pattern maker have to work in a month to make a profit
of at least $2,000?
оооо
a) 92
b) 100
c) 108
d) 121
Answer:
i think the answer is a.92 hope this helps
27 = 54
value that would make it true
Answer:
2
Step-by-step explanation:
27 = 54,
let's say the value that will make it true is x
So then,
27 * x = 54. If we divide both sides by 27, we have
x = 54 / 27
x = 2
The value that will make it true is multiplying 27 by 2
HELP ASAPPPPPPPP!!!!
Answer: x8
Step-by-step explanation:
If you left $25.00 on your table for a $21.50 meal, what was the percent of the tip?
Answer: 3.5% with a 3.50 Tip
Reason: 25.00 - 21.50 = 3.50
writing polynomial functions write the equation of the polynomial function given the following zeros x= 5 , -2 , -1
Answer:
Step-by-step explanation:1) Find the domain of the given function. f(x) = square root of quantity x plus three divided by quantity x plus eight times quantity x minus two.
using a graphical tool see the attachment
the answer is C) x ≥ -3, x ≠ 2
2. Identify intervals on which the function is increasing, decreasing, or constant.
g(x) = 2 - (x - 7)2
using a graphical tool
see the attachment
the answer is C) Increasing: x < 7; decreasing: x > 7
3. Perform the requested operation or operations.
f(x) = 4x + 7, g(x) = 3x2
Find (f + g)(x).
(f + g)(x) = f(x) + g(x)
(f + g)(x) = 4x + 7 + 3x^2
(f + g)(x) = 3x^2 + 4x + 7
The answer is C) 4x + 7 + 3x2
4. Perform the requested operation or operations.
f(x) = x minus five divided by eight. ; g(x) = 8x + 5, find g(f(x)).
f(x)=(x-5)/8 g(x)=8x+5
g(f(x))=8((x-5)/8)+5=x-5+5=x
the answer is B) g(f(x)) = x
5. Find f(x) and g(x) so that the function can be described as y = f(g(x)).y = nine divided by square root of quantity five x plus five.
y=f(g(x))=9/((5x+5) ^1/2)
let do
g(x)=5x+5...........so
f(x)= 9/( x^1/2)
the answer is A) f(x) = nine divided by square root of x. , g(x) = 5x + 5
6. A satellite camera takes a rectangular-shaped picture. The smallest region that can be photographed is a 4-km by 4-km rectangle. As the camera zooms out, the length l and width w of the rectangle increase at a rate of 3 km/sec. How long does it take for the area A to be at least 4 times its original size?
Original size- >4km*4km=16 km2
4 times its original size---------------4*(16km2)-----64 Km2----------- > 8 km by 8 Km
Therefore
3km----------------------------- 1 sec
(8km-4km)---------------------x
X=4/3=1.33 sec
The answer is D) 1.33 sec
7. Find the inverse of the function.
f(x) = the cube root of quantity x divided by seven. - 9
to solve, replace f(x) with y , switch x and y, solve for y and replace y with f⁻¹(x)
f(x)=((x/7)-9) ^(1/3)
replace f(x) with y
y=((x/7)-9) ^(1/3)
switch x and y
x=((y/7)-9) ^(1/3)
solve for y
x^3=((y/7)-9)
x^3+9=y/7
y=7(x^3+9)
the answer is C) f-1(x) = 7(x3 + 9)
8. Describe how the graph of y= x2 can be transformed to the graph of the given equation.y = (x - 14)2 – 9
using a graphical tool see the attachment the answer is C) Shift the graph of y = x2 right 14 units and then down 9 units
9. Describe how to transform the graph of f into the graph of g. f(x) = alt='square root of quantity x minus nine.' and g(x) = alt='square root of quantity x plus five. '
f(x)=(x-9) ^1/2 g(x)=(x+5) ^1/2
using a graphical tool see the attachment
the answer is C) Shift the graph of f left 14 units
10. If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.
f(x) = -16x5 - 7x4 – 6
The answer is B) Degree: 5; leading coefficient: -16
11. Write the quadratic function in vertex form.y = x2 + 4x + 7
Complete the square on the right side of the equation
Use the form ax2+bx+cax2+bx+c, to find the values of a, b, and c.
a=1,b=4,c=7
Consider the vertex form of a parabola.
a(x+d)2+e
Find the value of dd using the formula d=b/2a
d=4/(2*1)=2
Find the value of e using the formula e=c−b2/4a
e=7−4=3
Substitute the values of a, d, and e into the vertex form a(x+d)2+e
(x+2)2+3
The answer is A) y = (x + 2)2+ 3
12. Find the zeros of the function.
f(x) = 3x3 - 12x2 - 15x
using a graphical tool (see the attachment)x1=-1
x2=0
x3=5
The answer is C) 0, -1, and 5
13. Find a cubic function with the given zeros.7, -3, 2
X1=7
X2=-3
X3=2
f(x)=(x-7)(x+3)(x-2)=(x2-4x-21)(x-2)=x3-6x2-13x+42
the answer is C) f(x) = x3 - 6x2 - 13x + 42
14. Find the remainder when f(x) is divided by (x - k).f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3
f(x)=7(3)4+12(3)3+6(3)2-5(3)+16=946
The answer is the B) 946
15. Use the Rational Zeros Theorem to write a list of all potential rational zerosf(x) = x3 - 10x2 + 4x - 24
The constant term of () is -24
The leading coefficient is 1.
We have to only consider the factors of the constant (leading coefficient = 1)
The factors are 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24
The answer is A) ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24
Which polynomials are prime? Check all that apply. 15x ^ 2 + 10x - 9x + 7 20x ^ 2 - 12x + 30x - 18 6x ^ 3 + 14x ^ 2 - 12x - 28 8x ^ 3 + 20x ^ 2 + 3x + 12 11x ^ 4 + 4x ^ 2 - 6x ^ 2 - 16
Answer:
15x2+10x-9x+7
8x3+20x2+3x+12
11x4+4x2-6x2-16
Step-by-step explanation:
The prime polynomials are;
⇒ 15x² + 10x – 9x + 7
⇒ 8x³ + 20x² + 3x + 12
⇒ 11x⁴ + 4x² – 6x² – 16
What is an expression?
Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
There are some polynomials.
Now,
Evaluate all options in order to check that the polynomials are prime or not as;
Since, The polynomial is called a prime polynomial if the polynomial has not lower degree factors.
1). 15x² + 10x – 9x + 7
15x² + 10x – 9x + 7 = 5x(3x + 2) - (9x - 7)
Thus, This polynomial can not be factored into lower degree polynomial. Hence, it is a prime polynomial.
2). 20x² - 12x + 30x - 18
20x² - 12x + 30x - 18 = 4x (5x - 3) + 6 (5x - 3)
= (4x + 6) (5x - 3)
Thus, This polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.
3). 6x³ + 14x² - 12x - 28
6x³ + 14x² - 12x - 28 = 2x² (3x + 7) - 4(3x + 7)
= (2x² - 4) (3x + 7)
Thus, This polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.
4). 8x³ + 20x² + 3x + 12
8x³ + 20x² + 3x + 12 = 4x² (2x + 5) + 3 (x + 4)
= (4x² + 3) (2x + 5)
Thus, This polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
5). 11x⁴ + 4x² – 6x² – 16
11x⁴ + 4x² – 6x² – 16 = x² (11x² + 4) - 2 (x² + 8)
Thus, This polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
Therefore, The prime polynomials are;
⇒ 15x² + 10x – 9x + 7
⇒ 8x³ + 20x² + 3x + 12
⇒ 11x⁴ + 4x² – 6x² – 16
Learn more about the prime polynomial visit:
https://brainly.com/question/26388060
#SPJ6
A line passes through the point A (-2,-5) and has a slope of -9. Using the point-Slope formula, express the equation of the line in slope intercept form.
Answer:
y = -9x -23
Step-by-step explanation:
Point-slope formula gives you
y -(-5) = -9(x - (-2))
y + 5 = -9(x + 2)
y + 5 = -9x - 18
y = -9x -23
A shirt originally cost $38.48, but it is on sale for $26.94. What is the percentage decrease of the price of the shirt? If necessary
round to the nearest percent.
A. 70%
B. 24%
C. 43%
D. 30%
Answer:
30(D)
Step-by-step explanation:
38.48-26.94=11.54
11.54÷38.48×100
≈30
a customer left a tip of 25$ this is 20% of his bill. whats the price of the bill?
Answer:
i think 150
Step-by-step explanation:
Answer: $30.00
Step-by-step explanation:
First, convert the 20% to an actual number that can be used in a calculation. For percents, this is always done by simply dividing the percent (in this case 20%) by 100%.So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.
0.20 x $25.00=$5.00.
$25.00 + $5.00 = $30.00.
In a bag of sweets, 6 are orange and 9 are lime. Jodi chooses a sweet at random, eats it an
then chooses a second sweet at random.
What is the probability that both sweets are the same flavour?
(3 Points)
Answer:[tex]\frac{17}{35}[/tex]
Step-by-step explanation:
Given
The bag contains 6 orange and 9 lime sweets
For both sweets of the same flavor, Jodi must either choose orange or lime
No. of ways it can be done is [tex]^6C_1\times^5C_1+^9C_1\times^8C_1[/tex]
The total no of ways of selecting two sweets out of 15 is [tex]^{15}C_1\times^{14}C_1[/tex]
The probability that both sweets are the same flavor
[tex]P=\dfrac{^6C_1\times^5C_1+^9C_1\times^8C_1}{^{15}C_1\times^{14}C_1}=\frac{102}{210}=\frac{51}{105}=\frac{17}{35}[/tex]
-240+370=
what is the sum
Answer:
it would be the same as 370-240 which equals 130
Step-by-step explanation:
Answer:
130
Step-by-step explanation:
give me brainliest (aka the crown) :)
10.
An 8-by-10-inch photograph was blown up into a poster. If the longer side of the poster is 55 inches long, how many inches long is the shorter side?
please i need help
Answer:
44
Step-by-step explanation:
is times 5.5
HALP!!! DON'T MIND MY TABS BTW!! JUST NEED HELP!!! SUPER eAsY!!
Answer: cv
Step-by-step explanation:
Find the area of the square ABCD.
Answer:
Step-by-step explanation:
area of square is basically one side times itself
14 times 14 =196m^2
Answer: 196 meters
Step-by-step explanation: To find the area of any square you must do length(vertical side) times the width(horizontal side). It would look like this: length x width. So in this equation, it would be 14x14=the area. Another thing is that when you have a square when you know one side the other side is always as long or wide as the one you know. So 14x14=196 square meters
15j + 12k = 18
5j + 4k = 6
how do I find the perimeter of a triangle
Answer:
Step-by-step explanation:
Add up all three side lengths
Answer:
Add up all the side lengths (3) of the triangle.
Step-by-step explanation:
What do I do 900m = 2.700
Step-by-step explanation:
given
900m = 2.700
m = 2.700 / 900
m = 0.003
Hope it will help :)
Please help me! (Tangent Ratios) (30 points)
Answer:
Step-by-step explanation:
A = 48/20
B = 20/48
9. A garden has two circles. 1 big circle with sunflowers. 1 smaller circle with a radius of 6yd. Distance between the outside of the smaller circle to the end
of the bigger circle is 3yd. Find the area of the sunflower part of the garden.
Answer:
the answer would be 25
Step-by-step explanation:
since if you add all the following numbers up you make 11 and to taht you double the answer and that would give you 22 and then you add the remaining IP to make 25b
sakura bought 72 insches length of fabric for her ninja uniform.the total cost of the fabric is php 285.00 how do you think is the cost of the fabric per centimeter
Answer:
php 3.96
Step-by-step explanation:
If it costs 285.00 per 72 inches, the divide 285.00 by 72 to get per inches. 285.00 divided by 72 = 3.9583. Round 3.9583 to the hundreths place and you get 3.96.
(hope this helps...and why is this question related to naruto??))
[tex]\frac{2y-1}{15} =\frac{y}{10}[/tex]
Answer:
y = 2
Step-by-step explanation:
Given
[tex]\frac{2y-1}{15}[/tex] = [tex]\frac{y}{10}[/tex] ( cross- multiply )
10(2y - 1) = 15y ← distribute left side
20y - 10 = 15y ( subtract 15y from both sides )
5y - 10 = 0 ( add 10 to both sides )
5y = 10 ( divide both sides by 5 )
y = 2