Write the fraction 12/28 in simplest form
Answer:
3/4
Step-by-step explanation:
divide each by 2
28/2 = 14
12/2 = 6
14/2 = 7
6/2 = 3
therefore 3/7
Stefan sells Jin a bicycle for $176 and a helmet for $16. The total cost for Jin is 160% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
Stefan originally paid $120 for the bicycle and helmet.
He made $72 by selling them to Jin.
Step-by-step explanation:
Given that:
Selling price of bicycle = $176
Selling price of helmet = $16
Total price = 176+16 = $192
This is 160% of what Stefan paid originally.
Let,
x be the original amount paid by Stefan.
160% of x = 192
[tex]\frac{160}{100}x=192\\1.6x=192[/tex]
Dividing both sides by 1.6
[tex]\frac{1.6x}{1.6}=\frac{192}{1.6}\\x=120[/tex]
Original amount paid by Stefan = $120
Profit = 192 - 120 = $72
Hence
Stefan originally paid $120 for the bicycle and helmet.
He made $72 by selling them to Jin.
Find the slope of the line through each pair of point
11. (-4, -3) and (7, 1)
12. (-2, -1) and (8, -3)
Answer:
11) 4/11
12) -0.2
Step-by-step explanation:
Help me out with this (geometry)
Answer:
a .30 degrees
plz mark as brainliest
Write an equation in slope intercept form of the line that passes through the given points (-3, 3) and (1,2) HELP
Answer:
The answer is [tex]y = - \frac{1}{4} x + \frac{9}{4} [/tex]
Step-by-step explanation:
❃Incase you forgot what the slope-intercept formula is ☟
[tex]y = mx + b[/tex]
❃Incase you also forgot, what the slope formula is ☟
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
☆ First: We are going to be solving for the slope.
[tex]m = \frac{2- 3}{1 - ( - 3)} = \frac{ - 1}{4} = - \frac{1}{4} [/tex]
☆Second: We are going to find the y-intercept.
[tex]y = mx + b \\ 3 = - \frac{1}{4} ( - 3) + b \\ 3 = \frac{3}{4} + b \\ \frac{ - \frac{3}{4} = - \frac{3}{4} \: \: \: \: \: \: \: \: \: \: \: }{ \frac{ 9}{4} = b \: \: \: \: \: \: \: \: } [/tex]
☆Third: Plug in.
[tex]y = - \frac{1}{4} x + \frac{9}{4} [/tex]
14k²+49k+21 factorise
Answer:
(2k+1)(k+3)
Step-by-step explanation:
14k²+49k+21
simplify by dividing the whole equation by 7
2k²+7k+3
factorise
(2k+1)(k+3)
What is the value of x?
A shirt costs $5 less than a sweater. Together they cost
$25. How much does the sweater cost?
Answer:
Shirt: $7.5
Sweater: $17.5
Step-by-step explanation:
25/2=12.5
Shirt is 5 less than Sweater
12.5-5=7.5
Add 5 to sweater cost
12.5+5=17.5
Shirt=7.5 Sweater=17.5
17.5+7.5=25
PLEASE ANSWER ASAP WITH WORK FOR BRAINLEST!!!!!!!!!!!!!!!!!
x is greater than -5
2 people work together take 5 hours to lay floors. How many hours does it take for 6 people to lay floors
Answer:
It takes ( hours for 6 people to lay floors
Step-by-step explanation:
2=5 divide it and for one person it would take 1 1/2 so then times 1 1/2 by 6.
A 7 footlong board is propped against wall of a house. The board forms a 60 degree angle with ground. How far is the bar of board from the wall
Answer:
3.5 foot
Step-by-step explanation:
To find the distance from the wall, you will need to use cosine:
cos 60 = x / 7
x = 3.5 foot
ian invested $100 in an account paying an interest rate of 9 1/4% compound daily. Addison invested $100 in an account paying an interest rate of 9 3/8% compounded monthly. After 13 years, how much money would addison have in her account than Ian, to the nearest dollar?
Answer:
$5.67, or $6 rounded to the nearest dollar.
Step-by-step explanation:
To determine the amount that both Ian and Addison will have in their respective accounts after 13 years, knowing that they both invested $ 100 in accounts with daily compound interest, but Ian did it in one with an interest of 9.25% while Addison did it in one with a interest of 9.375%, the following calculations must be made:
Ian = 100 x (1 + 0.00925 / 365) ^ 13x365
Ian = 332.79
Addison = 100 x (1 + 0.009375 / 365) ^ 13x365
Addison = 338.46
338.46 - 332.79 = 5.67
Therefore, Addison will have $ 5.67 more than Ian after the investment term.
Rachel wants to use the Distributive Property to rewrite 72 + 45. Which expression could she use?
Answer:
1.17 x 10^2
Step-by-step explanation:
Im pretty sure its right
Brenda purchased a new watch in 2012. The value of her watch, t years after she bought
it, can be modeled by the function A(t) = 117(0.93)
Drag and drop the correct number or phrase to left of each sentence to make the
sentence true for the function
Answer:
The rate of change in the value of the watch is modeled by 0.93.
The rate of change represents a decrease in value.
The rate represents a 7% change per year.
Step-by-step explanation:
The rate of change in the value of the watch is modeled by 0.93.
The rate of change represents a decrease in value.
The rate represents a 7% change per year.
The following information should be considered:
Since the function A(t) = 117(0.93)So it means that the rate of change should be modeled by 0.93.There is the reduction in the value. Also it is 7% change per year.learn more: https://brainly.com/question/834969?referrer=searchResults
Convert the decimal below to a fraction in simplest form.
0.386
And show work
Answer:193/500
Step-by-step explanation:
Which angle is congruent to
Answer:
ps is congruent to qr if that's what your asking
if m ∟n, solve for x. (x + 21) (3x + 9) giving brainliest
Answer:
x=15
Step-by-step explanation:
Add the two equations together because there is a 90 degree angle. You can add the two to get :
4x+30=90
-30 from both sides
4x=60
Divide by 4 on both sides to get your answer!
x=15
Answer: X = 15
I think you can give brainiest to the person above me now
I know it's really late but :)
can u pls help me with this question asap
In ΔVWX, v = 98 inches, w = 95 inches and x=26 inches. Find the measure of ∠X to the nearest 10th of a degree.
Answer:
15.4
Step-by-step explanation:
cos A = b^2 + c^2 - a^2 / 2bc
cos X = 98^2 + 95^2 - 26^2 / 2(98) (95)
cos X = 17953 / 18620
cos X = 0.964
X = cos^-1 (0.964) = 15.38 = 15.4
Which Fraction(s) is equivalent to 3/12
3/10 1/4 1/2 2/5 4th grade IXL
Answer:
3/12= 4/16
1/4= 2/8
1/2= 3/6
2/5= 4/10
there are other possible answers but these are just ones i know
Walden’s family is shopping for a reclining chair. The chair the family decided on has a retail price of $800 plus 5% sales tax at four stores. Each store is offering a different promotion.
Store
Promotional Offer
A
$75 instant rebate
B
10% off sale
C
5% off sale plus store pays sales tax
D
a “no tax” sale—the store pays the tax
Which store has the best deal?
Answer:
c
Step-by-step explanation:
someone else said c and i got it right
How do I solve this
Answer:
Step-by-step explanation:
I'm sorry forgot how to exactly solve it
Mary drove from her home to the library. After she left the library, she drove to the park. After that, she drove home. The map shows the path she took.
What is the distance between (4, 3) and (9, 15) on the coordinate plane? Select two that apply.
How far did Mary drive?
a 10 miles
b 14 miles
c 24 miles
d 28 miles
Answer:
c
Step-by-step explanation:
I I don't even know why it seems I just chose that because
The distance between (4, 3) and (9, 15) on the coordinate plane is 13 units.
What is the distance between two points?The distance between two points is defined as the length of the line segment between two places representing their distance. Most significantly, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.
The formula of distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁)².
We have to determine the distance between (4, 3) and (9, 15) on the coordinate plane.
As per the question, the required distance would be as:
distance = √ (9 – 4)² + (15 – 3)²
distance = √ (5)² + (12)²
distance = √ (25 + 144)
distance = √ 169
distance = 13 units
Learn more about the distance between two points here:
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what is 14x three over seven
Answer:
6
Step-by-step explanation:
Can y’all help me? I think it’s the last one but I’m not sure
Determine whether the rational root theorem provides a complete list of all roots for the following
polynomial functions.
f(x) = 4x^2 - 25
g(x) = 4x^2 + 25
h(x) = 3x^2 - 25
Answer:
1) Yes
2) No, this polynomial has complex roots
3) No, this polynomial has irrational roots
Step-by-step explanation:
a. Rational roots theorem provide a complete list of all roots of
f (x) = 4x² - 25
b. Rational roots theorem does not provide a complete list of all roots of
g (x) = 4x² + 25
c. Rational roots theorem does not provide a complete list of all roots of
h (x) = 3x² - 25
What is Function?
A relation between a set of inputs having one output each is called a function.
Functions are given as;
f (x) = 4x² - 25
g (x) = 4x² + 25
h (x) = 3x² - 25
Now,
a. f (x) = 4x² - 25
To find the roots we can set up 0,
f (x) = 4x² - 25 = 0
4x² - 25 = 0
4x² = 25
Divide by 4,
x² = 25/4
Take square root both side,
x = √25/4
x = ±5/2
Thus, The function has rational roots.
So, Rational roots theorem provide a complete list of all roots.
b) g (x) = 4x² + 25
To find the roots we can set up 0,
4x² + 25 = 0
4x² = - 25
Divide by 4,
x² = - 25/4
Taking square root,
x = √-25/4
x = ±5i/2
Thus, The function has complex roots.
So, Rational roots theorem does not provide a complete list of all roots.
c) h (x) = 3x² - 25
To find the roots we can set up 0,
3x² - 25 = 0
3x² = 25
Divide by 3,
x² = 25/3
x² = 8.333
Take square root both sides,
x = √8.333
x = ±2.89
Thus, The function has irrational roots.
So, Rational roots theorem does not provide a complete list of all roots.
Therefore,
a. Rational roots theorem provide a complete list of all roots of
f (x) = 4x² - 25
b. Rational roots theorem does not provide a complete list of all roots of
g (x) = 4x² + 25
c. Rational roots theorem does not provide a complete list of all roots of
h (x) = 3x² - 25
Learn more about the rational root theorem visit:
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PLS HELP Write an equation for an ellipse centered at the origin which has foci at (0,-+15) and a vertices at (0,-+25)
Answer:
c
Step-by-step explanation:
The figure below shows a triangle with one of its angle bisected. Find x.
If AABC~ADEF, what is the scale factor of AABC to ADEF?
Given:
[tex]\Delta ABC\sim \Delta D E F[/tex]
[tex]AB=18,BC=21,AC=24,EF=7[/tex]
To find:
The scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex].
Solution:
We have,
[tex]\Delta ABC\sim \Delta D EF[/tex]
So, side BC is the corresponding side of EF.
Now, scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is
[tex]\text{Scale factor}=\dfrac{\text{ Side of }\Delta D EF}{\text{Corresponding side of }\Delta ABC}[/tex]
[tex]\text{Scale factor}=\dfrac{EF}{BC}[/tex]
[tex]\text{Scale factor}=\dfrac{7}{21}[/tex]
[tex]\text{Scale factor}=\dfrac{1}{3}[/tex]
Therefore, the scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is [tex]\dfrac{1}{3}[/tex].
Here another oneeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
DAMMMMM U KNOW ME TOO WELLL
Step-by-step explanation:
Answer:
the anime is fire force
Step-by-step explanation:
In Year 198 of the Solar Era in Tokyo, Special Fire Force's are fighting against a phenomenon called Spontaneous Human Combustion where humans beings are turned into living infernos called “Infernals.” While the Infernals are First Generation cases of spontaneous human combustion