Answer:
2 3/8
Step-by-step explanation:
First get the LCM (Least Common Multiple) for the denominators so we can subtract them. The denominators would both be 8 because it is the lowest number that they can have to be able to subtract. (The LCM). So is 4 3/4 has a denominator of 8 it'll become:
4 3/4= 4 6/8 because if 4 turned into 8, that means it multiplied by 2. So, you need to multiply 3 by 2 as well which equals 6. This is it as a ratio:
3:4 into x:8
So 4 times 2, which means you need to do 3 times 2 as well. It equals 6.
So now that we know 4 3/4 is 4 6/8, it is time to subtract. 2 3/8 already has a denominator of 8 so we don't need to do anything with that. Subtract.
4 6/8-2 3/8= 2 3/8. 4-2=2, so the whole number is 2. 6-3= 3, so the numerator (the top number) is 3. The denominator (the bottom number) always stays the same so it is the same, which is 8.
The cosst of 4 1 /4 kg of sugar is £68 .find the coast o 1 kg
Step-by-step explanation:
Hi, there!!
Here according to the question we must find the cost of 1 kg sugar.
Given that:
17/4 kg of sugar cost £68.
then 1 kg sugar costs,
=[tex] \frac{68}{ \frac{17}{4} } [/tex]
after reciprocal we get,
= £68×4/17
=£16
The answer would come £16.
Therefore, The cost of 1 kg sugar is £. 16.
Hope it helps....
Answer:
£ 16
Step-by-step explanation:
Cost of 4 1/4 kg sugar = £ 68
4 1/4 = 17/4
Cost of 17/4 kg of sugar = 68
Cost of 1 kg of sugar =68 ÷ (17/4)
[tex]= 68* \frac{4}{17}\\\\=4*4\\[/tex]
= £ 16
type in symbols to make 2,3,7, and 12 equal 55
Answer: 3(7+12) - 2
Step-by-step explanation:
70 POINTS! PLEASE HELP! Explain the difference between the following equation formats: Slope-Intercept, Point-Slope and Standard
Answer and Step-by-step explanation:
1. slope intercept
2. point-slope form
3. standard
Explanation:
1. A slope intercept form equation is when it's set up as y = m x + b
m = slope
b = y-intercept
2. A point-slope form is when a line passes through a point
and the equation is set up as y −b = m ( x−a)
m = slope
(a, b) A point that the line passes through
3. standard lope form is when the equation is set up as
Ax + By = C
Jessica recently purchased her dream car a Porsche 911. for $55,000. the value of this car will depreciate by 8% each year. Find the value of the car after 5 years.
55,000(0,92)^5= $36,249.
Answer:
The future value of the car after 5 years is $36,249.5
Step-by-step explanation:
Given the value at which a car depreciates, we are interested in finding the value of the car after a period of 5 years.
To find the value, we make use of an exponential equation;
The exponential equation to use is;
FV = PV(1 - r)^n
where FV is the future value of the car which is what we want to calculate
PV is the present value of the car which is $55,000
r is the depreciation percentage = 8% = 8/100 = 0.08
n is the number of years.
So now, we input these values into the formula;
FV = 55,000(1 -0.08)^5
FV = 55,000(0.92)^5
FV = $36,249.5
A building has an entry the shape of a parabolic arch 84 ft high and 42 ft wide at the base, as shown below. A parabola opening down with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 84 feet and its width from left to right is 42 feet. Find an equation for the parabola if the vertex is put at the origin of the coordinate system. (
Answer:
Step-by-step explanation:
Because of the nature of the information we are given, we have no choice but to use the equation
[tex]y=a(x-h)^2+k[/tex]
and solve for a.
We know by the info that the vertex is (0, 84). We also know that if the vertex is at the origin, and that the base is 42 feet wide, it spans 21 feet to the right of the origin and 21 feet to the left of the origin. That means that we have 2 coordinates from which we need to pick one for our x and y in the equation. I don't like negatives, so I am going to choose the coordinate (21, 0) as x and y. Because this parabola opens upside down, as archways of door openings do, our "a" value better come out algebraically as a negative. Let's see...From the vertex we have that h = 0 and k = 84. So filling in:
[tex]0=a(21-0)^2+84[/tex] and simplifying a bit:
0 = 441a + 84 and
-84 = 441a so
[tex]a=-\frac{84}{441}=-\frac{4}{21}[/tex] Good, a is negative. Your equation is, then:
[tex]y=-\frac{4}{21}x^2+84[/tex]
Answer:
x² = -21y
Step-by-step explanation:
THIS IS THE RIGHT ANSWER I TOOK THE TEST
The number of polynomials having zeros as -2 and 5 is a)1 b)2 c)3 d)more than 3
Answer:
d) More than 3.
Step-by-step explanation:
The polynomial (x - 5)(x + 2) ( = x^2 - 3x + 10) has zeros of -2 and 5 but so have the polynomials formed by multiplying this by any integer:
- for example 2(x - 5)(x + 2) , 4(x - 5)(x + 2) and so on.
an equation uses the symbol
Answer:
The '=' sign.
Step-by-step explanation:
The equals sign ( = ). for example:
3x + 1 = 8.
The equals sign was invented by Robert Recorde of Tenby, South Wales, UK in the early part of the 16th century.
A. X>0
B. xis all real numbers.
C. O sxs 5
D. -5 sxs 5
Answer:
B
Step-by-step explanation:
The domain of a function is all of the x values of a function. Since there seem to be no constraints on the values of x (we know this because the function is continuous and it goes on forever in both sides), the answer is B.
Answer:
B. All real numbers
Step-by-step explanation:
Hey there!
Well the domain is all the x-values in the graph and by looking at where the lines are going we can tell that the graph domain is all real numbers.
Hope this helps :)
PLS HELP I WILL MARK BRAINLIST AND GIVE YOU A THANK YOU
Answer:
C
Step-by-step explanation:
Since the marked angles are vertical angles, they are congruent, meaning that they have the same angle measure. Therefore, the answer is 10x = 150.
Thomas had 19 problems correct of the 25 problems on a recent math quiz. What percent of the
problems on the quiz did he answer correctly?
A.
24%
B. 36%
C. 76%
D.95%
Hey There!!
Your best choice is 76%
Because, 19/25 = x/100
25x = 1900
x = 76
°He got 76% correct!!°
By °Itsbrazts°
Answer:
76%
Step-by-step explanation:
Thomas got 19/25 marks.
** Note: Percents are always out of 100.
We don't know how many marks he got out of 100.
=> 19/25 = x/100
There are two ways to solve it from now.
=> Multiply 19 and 100; 25 and x
=> 25x = 1900
Next, Divide 25 on each side.
=> 25x/25 = 1900/25
=> x = 76
He got 76% on the quiz.
Another way is:
=> 19/25 = x/100
=> We need to divide 25 from 100.
=> We get 4.
So, 25 x 4 = 100
=> 19 x 4 = x
=> x = 76
He got 76% on the quiz.
Both ways are correct.
Which graph solves the following system? x+2y=4 5x−2y=8
Answer:
elimination method
x+2y=4 1
5x-2y=8 2
1+2
6x=12
x=2
plug into x+2y=4
2+2y=4
2y=4-2
2y=2
y=1
(2,1)
so graph 1
Every ten minutes, Frankie follows a pattern in creating a new group of drawings. Below, you can see how many total drawings Frankie has created by the end of each ten-minute interval. If he continues to follow this pattern, at the end of seventy minutes, how many total drawings will Frankie have created?
Answer:
Frankie will have created 161 drawings.
Step-by-step explanation:
Answer:
161
Step-by-step explanation:
your welcome
Which of the following statements is true about odd
and/or even numbers?
F. The sum of any 2 even numbers is odd.
G. The sum of any 2 odd numbers is ood.
H. The quotient of any 2 even numbers is odd.
J. The quotient of any 2 even numbers is even.
K. The product of any 2 odd numbers is odd.
Answer:
k) the product of ant 2 odd numbers is odd
I don't know.
Let's check um out.
For each choice, I'll try to find an example to show that it's false.
F. The sum of any 2 even numbers is odd.
2+2=4. 4 is even. This one is false.
G. The sum of any 2 odd numbers is ood.
3+3=6. 6 is even. This one is false.
H. The quotient of any 2 even numbers is odd.
8÷4=2. 2 is even. 10÷4=2.5. 2.5 is neither odd nor even. This one is false.
J. The quotient of any 2 even numbers is even.
10÷2=5. 5 is odd. This one is false.
K. The product of any 2 odd numbers is odd.
I can't find an example where this is false.
So I'm gonna say that this is the true one.
The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the The area of the sail is 68 square feet, find its height and the length of the base.
Step-by-step explanation:
It is given that,
The height of the sail on a boat is 7 feet less than 3 times the length of its base.
Let the length of the base is x.
ATQ,
Height = (3x-7)
Area of the sail is 68 square feet.
Formula for area is given by :
[tex]A=lb\\\\68=x(3x-7)\\\\3x^2-7x=68\\\\3x^2-7x-68=0[/tex]
x = 8 feet and x = -3.73 feet
So, length is 8 feet
Height is 3(8)-7 = 17 feet.
So, its height and the length of the base is 17 feet and 8 feet respectively.
A model of a wedge of cheese is used in a display for a deli. All the sides of the model are covered in yellow construction paper. A rectangular prism has a rectangular base with length of 15 centimeters and height of 5 centimeters. Another rectangle has length of 15 centimeters and height of 13 centimeters. Another rectangle has length of 15 centimeters, and height of 12 centimeters. The triangular sides have a base of 5 centimeters and heights of 12 centimeters. How much construction paper is needed for the model? 45 square cm 330 square cm 510 square cm 570 square cm
Answer:
510 cm²
Step-by-step explanation:
To find how much construction paper is needed for the model, we calculate the total areas of each of its sides.
The area of the first triangular sides is A₁ = 15 cm × 5 cm = 75 cm²
The area of the second triangular sides is A₂ = 15 cm × 13 cm = 195 cm²
The area of the third triangular sides is A₃ = 15 cm × 12 cm = 180 cm²
The area of each triangular side is A₄ = 1/2 × 5 cm × 12 cm = 30 cm²
The area of the two triangular sides is A₅ = 2A₄ = 2 × 30 cm² = 60 cm²
The total surface area of a wedge of cheese is A = A₁ + A₂ + A₃ + A₅ = 75 cm² + 195 cm² + 180 cm² + 60 cm² = 510 cm²
So the amount of construction paper needed equals the total surface area of the wedge of cheese = 510 cm²
Answer:
510
Step-by-step explanation:
The company will be launching a firework from the ground, but you want to increase the time it stays in the air by 2 seconds to build up the suspense. How can the company make this happen without changing the length of the fuse? How will this affect the maximum height of the firework? g(t) = -16t2 + 224t + 120
Answer: find the answer in the explanation.
Step-by-step explanation:
To increase the time the fireworks stays in the air by 2 seconds to build up the suspense, 2 should be added to the time t.
T + 2 = t
T = t - 2
Substitute T for t in the function g(t)
The company will make this happen without changing the length of the fuse by substituting T for t which will lead to
g(t) = -16(t - 2)^2 + 224(t - 2) + 120
How will this affect the maximum height of the firework?
Initially the function is:
g(t) = -16t2 + 224t + 120
Where the time at maximum height is found by using the formula
t = -b/2a
b = 224, a = -16
Substitutes both into the formula
t = -224/2(-16)
t = -224/-32
t = 7
Substitute 7 for t in the first equation
g(t) = -16(7)^2 + 224(7) + 120
g(t) = -16(49) + 224(7) + 120
g(t) = -784 + 1568 + 120
g(t) = 904 metres
But when the time is delayed by 2 seconds in the air, the maximum height will be
g(t) = -16( 7 - 2 )^2 + 224(7 - 2) + 120
g(t) = -16(5)^5 + 224(5) + 120
g(t) = -16(25) + 224(5) + 120
g(t) = -400 + 1120 + 120
g(t) = 840
The effect will surely reduce the maximum height of the fireworks.
Help with this find the image of (1 ,2) after a reflection about y=x followed by a reflection about y=-x
Answer: (-1, -2)
Step-by-step explanation:
so at first you have (1, 2)
then you were asked to reflect about y=x which is (x, y) = (y, -x)
(1, 2) = (2, -1)
then followed by y=-x which is (x, y) = (-y, -x)
(2, -1) = (-1, -2)
I hope this helps!
The sum of the ages of Noi's and Noy's is 26 years. The different between four times Noi's age and two times Noy's age is 28 years. Find the age of Noi and Noy.
WRITE AS AN EQUATION
Answer:
The age of Noi is 13.333 Years and the age of Noy is 12.67 years
Step-by-step explanation:
The given information are;
The sum of the ages of Noi and Noy = 26 years
Four times Noi's age - Two times Noy's age = 28
Let the age of Noi = X and let the age of Noy = Y
We have;
X + Y = 26 years.................(1)
4X - 2Y = 28 years.............(2)
Divide equation (2) by 2 to get;
(4X - 2Y)/2 = (28 years)/2 which gives;
2X - Y = 14 years.................(3)
Add equation (3) to equation (1), to get;
X + Y + 2X - Y = 26 years + 14 years
3X = 40 years
X = 40/3 = 13.333 Years
From equation (1), X + Y = 26 years, therefore;
Y = 26 - X = 26 - 13.33 = 12.67 years
Therefore, the age of Noi = 13.333 Years and the age of Noy = 12.67 years.
is y=3x^3+4x^2+15x+7 a function and if it is, explain
========================================================
Explanation:
It is a function because any x input leads to exactly one y output. The graph visually passes the vertical line test. It is impossible to draw a single vertical line through more than one point on the cubic curve, so that's why the graph passes the test, and visually confirms we have a function.
------------------
Extra info:
Something that isn't a function is [tex]y^2 = x[/tex] because it graphs a sideways parabola in which it is possible to draw a vertical line through more than one point on the curve. Two points on this parabola are (9, 3) and (9, -3). The input x = 9 corresponds to more than one output y = 3 and y = -3 simultaneously.
a zookeeper has both flamingos and alligators in his zoo there are 78 feet and 27 heads how many flamingos and aligators are there
Answer:
15 flamingos and 12 alligators
Step-by-step explanation:
Because there are 27 heads, that means there is a total of 27 flamingos and alligators. Flamingos have 2 feet and alligators have 4 feet.
1. Set up a system of equations
(x = number of flamingos, y = number of alligators)
1x + 1y = 27 heads
2x + 4y = 78 feet
2. Multiply to get the same coefficient
2(1x + 1y = 27) → 2x + 2y = 54
3. Subtract
2x + 2y = 54
- 2x + 4y = 78
0x + -2y = -24
4. Solve for y
-2y = -24
y = 12
5. Plug in y to solve for x
1x + 1(12) = 27
x + 12 = 27
x = 15
Triangle Q M N is shown. The length of Q M is 18, the length of M N is 17, and the length of Q N is 20. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of AngleQ to the nearest whole degree? 43° 49° 53° 58°
The measure of angle Q in the triangle QMN is 52.83°
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
For a triangle with sides a, b, c and respective opposite angles A, B, C, cosine rule is:
a² = b² + c² - 2bc * cos(A)
In triangle QMN, QM = 18, MN = 17, QN = 20, hence:
17² = 18² + 20² - 2(18)(20) * cos(Q)
Q = 52.83°
The measure of angle Q in the triangle QMN is 52.83°
Find out more on equation at: https://brainly.com/question/2972832
#SPJ2
Answer:
53
Step-by-step explanation:
its rounded
Will someone please help me with this problem!! **It's multiple choice!
A = (-7,-6)
B = (8,-9)
Find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (-9-(-6))/(8-(-7))
m = (-9+6)/(8+7)
m = -3/15
m = -1/5
The slope of line AB is -1/5.
Flip the fraction and the sign to go from -1/5 to +5/1 = 5. The perpendicular slope is 5.
Let m = 5.
Use the coordinates of point C (2,12) along with the perpendicular slope to get
y - y1 = m(x - x1)
y - 12 = 5(x - 2)
y - 12 = 5x - 10
y = 5x - 10+12
y = 5x + 2
Lastly, convert this to standard form
y = 5x + 2
5x+2 = y
5x+2-y = 0
5x-y = -2
Choice A is the closest match, but the -56 should be -2 instead. It seems like your teacher made a typo somewhere.
Answer:
5x - y = -2.
Step-by-step explanation:
The equation of this altitude line has a slope = -1/m where m is the slope of line AB . It will also pass through the point C.
The slope of line AB = (-9 - (-6)) / (8 - (-7))
= -3/15
= -1/5
So the slope of the required line = -1 / -1/5 = 5.
Using the point C and the point-slope form of a line:
y - y1 = m(x - x1)
y - 12 = 5(x - 2)
y - 5x = -10 + 12
y - 5x = 2
5x - y = -2.
I need the answers for my bro
Answer:
1)He will use 144 squares in his design
2)He will use 36 squares in his design
Step-by-step explanation:
1) There is 12 squares going horizontally and 12 squares going vertically meaning the total amount of squares needed is:
12 x 12 = 144 inch squares
2) If he wants to cover a smaller box that is 1/2 feet big than he would take the square of 1/2 which is 1/4 and multiple it to the original answer to get the answer of the new question
144 x (1/4) = 36 inch squares
What is happening to this graph when the x-values are between - 1 and 1?
A. It is decreasing.
B. It is constant
C. It is increasing
Answer:
A. It’s decreasing
Step-by-step explanation:
Hey there!
Well on the graph at points -1 and 1 we can tell the line is going down,
meaning the line is decreasing.
Hope this helps :)
Answer:it is increasing
Step-by-step explanation:
Given: m∠V=103°, m∠VRT=71°, RS ∥ VU Find: m∠TRS, m∠U
Answer:
m∠U = 103° and m∠TRS = 6°
Step-by-step explanation:
In the given circle O,
Since, RS║VU, and VR is a transverse,
Therefor, m∠V + m∠R = 180° [Consecutive interior angles]
m∠R + 103° = 180° [m∠R = 103° given]
m∠R = 180° - 103°
m∠R = 77°
Since m∠R = m∠VRT + m∠TRS
77° = 71° + m∠TRS
m∠TRS = 77° - 71° = 6°
Quadrilateral RTUV is a cyclic quadrilateral.
Therefore, m∠U + m∠R = 180°
m∠U + 77° = 180°
m∠U = 180° - 77° = 103°
-
What is the product?
(-3s +2)(4s-1)
Answer: -12s + -2
Step-by-step explanation: You need to combine the like terms so -3sx4s = -12s and 2+-1 = -2 so it’s -12s + -2 or -12s - 2
Answer:
-12s²+11s-2
Step-by-step explanation:
(-3s+2)(4s-1)
First you have to FOIL (First, inner, outter, last)
First: -3s × 4s
Inner: -3s × -1
Outter: 2 × 4s
Last: 2 × -1
Now you should have -12s² + 3s + 8s -2
----------------------
Next you combine your like terms
Finally you have your answer, -12s²+11s-2 .
Change histul
bols
A store pays two fees when a customer uses a credit card to make a purchase. These fees include:
A flat fee of $0.15
A processing fee equal to 1.75% of the dollar amount of the purchase
There is no sales tax on the purchase.
What is the amount, in dollars and cents, the store pays in fees for a $60.00 purchase by a customer using a credit
card?**
Answer:
So the amount to pay is $1 and 20 cents ( or a total of 120 cents)
Step-by-step explanation:
Here, we want to know the amount paid as fees for a $60 purchase given that the store has to pay a flat fee of $0.15 and a processing fee of 1.75% of the amount of purchase.
Firstly, we establish that there are two fees to be paid.
We already have a fee of $0.15
The other fee to pay is 1.75% of $60
Mathematically that would be;
1.75/100 * 60 = $1.05
Thus, the fees to be paid on the $60 purchase is $1.05 + $0.15 = $1.20
Score for Question 3: of 5 points)
. What is the area of triangle BCD to the nearest tenth of a square centimeter? Use special right triangles to
help find the height. Show your work.
Answer:
[tex] \frac{25 \sqrt{3} }{2} [/tex]
Step-by-step explanation:
Height = 5 * tan 60°
[tex]height \: = 5 \sqrt{3} [/tex]
[tex]area = \frac{1}{2} \times 5 \times 5 \sqrt{3 } = \frac{25 \sqrt{3} }{2} [/tex]
2500 feet is to how many meters
Answer: is 762 meters
Step-by-step explanation:
One foot is equal to 0.3048 meters so multiply 2500 by 0.3048 to find how many meters there are.
2500 * 0.3048 = 762
Answer:762.5 meters
Step-by-step explanation:
1 foot =0.305 m
Hence,0.305×2500=762.5 metres as the answer.
⚠️URGENT!!⚠️ PLEASE HELP ILL GIVE BRAINLIEST I PROMISE THE QUESTION IS ATTACHED BELOW I REALLY NEED HELP
Answer:
m∠M = 116° m∠N = 111° m∠O = 64° m∠P = 69°Step-by-step explanation:
A quadrilateral can be inscribed in a circle only if the sum of its opposite angles is equal to 180°, so:
7x - 15 + 3x + 15 = 180° and 2(17y - 10) + 13y + 12 = 180°
10x = 180° 34y - 20 + 13y + 12 = 180°
x = 18° 47y = 188°
y = 4°
m∠M: 2(17•4 - 10) = 2•58° = 116
m∠N: 7•18 - 15 =126 - 15 = 111
m∠O: 13•4 + 12 = 52 + 12 = 64
m∠P: 3•18 + 15 = 54 + 15 = 69