================================================
Work Shown:
450 g of butter = 60 biscuits
450/60 g of butter = 60/60 biscuits ... divide both sides by 60
7.5 g of butter = 1 biscuit
This means each biscuit needs 7.5 grams of butter
Multiply both sides by 12 to get
7.5 g of butter = 1 biscuit
12*7.5 g of butter = 12*1 biscuit
90 g of butter = 12 biscuits
Together, two apples have 1/5 gram of fat. How many apples have a total of 4 grams of a
apples
Answer:
40 apples
Step-by-step explanation:
2 apples= [tex]\frac{1}{5}[/tex] grams
x apples= 4 grams
8/[tex]\frac{1}{5}[/tex] = 8 x 5/1=40
Answer:
40
Step-by-step explanation:
edu instruction correct
Help me with this please I have no idea what to do. It says solve for a if the line through the two given points has the given slope a, 3) and (-3, - 1), m = -2
Answer:
a=-5
Step-by-step explanation:
When you do this every time the slope will go down 2 and over 1 which is rise over run or slope. You can see the y coordinates go down 4 points and every time is should go down 2 so you will know that it would have gone down 2 times so a+2 should equal -3 so if we subtract 2 from both sides we would get a=-5 and that is our answer.
Answer:
a = - 5
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 2
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (a, 3)
m = [tex]\frac{3+1}{a+3}[/tex] = [tex]\frac{4}{a+3}[/tex] = - 2 ( multiply both sides by a + 3 )
- 2(a + 3) = 4 ( divide both sides by - 2 )
a + 3 = - 2 ( subtract 3 from both sides )
a = - 5
Use the Binomial Theorem to expand (3+2x)4
Answer:
(3+2x)4 = 16x4+96x3+216x2+216x+81
Step-by-step explanation:
Answer:
(3+2x)^4
(3)^4+4(3)³(2x)¹+6(3)²(2x)²+4(3)¹(2x)³+(2x)⁴
81+216x¹+216x²+96x³+16x⁴
The population of a certain type of seahorse grew by 13% from year to year.
Should the be modeled linear function or Exponential function ?
Answer: Exponential function
Step-by-step explanation:
A linear function is the form[tex]f(x)=mx+c[/tex] , where m is the constant rate of change of y with respect to x and c is the y-intercept.
An exponential growth function is in the form [tex]f(x)=A(1+r)^x[/tex], where r is the rate of growth (generally in percent) and A is initial value.
If the population of a certain type of seahorse grew by 13% from year to year, then the rate of growth is 13% .
Hence it is an exponential equation.
Boris is selling pirate hats. If he sells the hats for $50 he will sell 135 hats.
For each increase in price of $2 he will sell 3 fewer hats.
Determine the possible prices he could charge to earn $6486 or more.
Answer:
Current price $50eax135hats= $6750
Step-by-step explanation:
If he sells the hats at $52 he sells 3 less hats so $52x132=$6864
if he sells the hats at $54 he has 6 less hats= 54x129=6966 etc
$56 x 126=$7056
Michael is on page 28 of a 315-page book. He must finish the book within the next 14 days. He solved the inequality 28+ 14p = 315 He did not use the correct value as the coefficient of p and should have solved 14 + 28p <= 315
Answer:
yes you're right it is 14 + 28p = 315
Answer:
C
Step-by-step explanation:
I had this question edge 2021
A school librarian can buy books at a 20% discount from the list price. One month she spent $72 for books. What was the list price value of the books? Is the answer $90?
Answer:
[tex]\boxed{\sf \ \ YES \ \ }[/tex]
Step-by-step explanation:
Hello
let's say that the price of the book was x
the price after a 20% discount is x - 20%*x = x*(1-20%)=x*(1-.20)=0.8*x
and this is $72 so we can write that
0.8*x=72
and then divide by 0.8 both parts
x = 72/0.8=90
So the list price value of the book is $90
and we can verify as 90 - 20%*90 = 90 - 18 = 72
Hope this helps
The net of the figure shown is made of which set of
shapes?
3 triangles and 1 square
3 triangles and 1 rectangle that is not a square
4 triangles and 1 square
4 triangles and 1 rectangle that is not a square xx
Answer:
4 triangles and 1 square
Step-by-step explanation:
If we are to make a net of this pyramid, we'd have a net that has 4 triangles, and 1 square.
The base of the pyramid has 4 sides of equal length of 5 in each. A polygon that has 4 right angles and 4 sides that are of equal sizes or lengths is said to be a square.
Therefore, the net of the figure above is made up of 4 triangles and 1 square.
Answer: 4 triangles and 1 square
Step-by-step explanation
Which option is it??????
Answer:
both the equation and it's inverse are functions
the probability of spinning an even number is 1/2 if you spin 600 times how many times would you predict getting an even number
Answer:
300
Step-by-step explanation:
1/2 * 600 = 300
There are 300 times would you predict getting an even number.
We have to given that,
The probability of spinning an even number is 1/2.
And, you spin 600 times.
Hence, Number of times would you predict getting an even number is,
⇒ 1/2 of 600
⇒ 1/2 × 600
⇒ 600 / 2
⇒ 300
Therefore, There are 300 times would you predict getting an even number.
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ6
The speed at which a ball bits the ground is proportional to the
height to which the ball rebounds. If the ball hits the ground at
a speed of 20 miles per hour and rebounds to a height of 10 feet,
then how fast must it be traveling (in miles per hour) to rebound
to a height of 15 feet?
Answer:
30 mph
Step-by-step explanation:
let s represent speed and h represent rebound.
Given that s is proportional to h then the equation relating them is
s = kh ← k is the constant of proportion
To find k use the condition s = 20, h = 10, then
20 = 10k ( divide both sides by 10 )
2 = k
s = 2h ← equation of proportionality
When h = 15 , then
s = 2 × 15 = 30 mph
What is the quotient (2x^3 + 3x - 22) / (x-2)
Answer:
The quotient is 2x^2+4x+11
Step-by-step explanation:
Consider the function f (x) = StartRoot 5 x minus 5 EndRoot + 1. Which inequality is used to find the domain?
Answer: [tex]5x-5 \ge 0[/tex]
This is the same as [tex]x-1 \ge 0[/tex]
========================================================
Explanation:
We have [tex]f(x) = \sqrt{5x-5}+1[/tex]
The stuff under the square root (this stuff is called the radicand) is what we'll focus on (the +1 at the end does not affect the domain at all). We want this to be 0 or larger. This is to avoid applying the square root to negative values, which leads to complications.
So 5x-5 must be 0 or larger meaning we write [tex]5x-5 \ge 0[/tex]
Optionally we can divide all three terms (5x, -5 and 0) by 5 to go from [tex]5x-5 \ge 0[/tex] to [tex]x-1 \ge 0[/tex]
If you wanted to solve for x, you would get [tex]x \ge 1[/tex] to set up the domain. Meaning that x = 1 is the smallest x value you can plug into the function. The x value can be anything larger than 1 as well.
rotate the triangle below: A(5,3) B(8,10) C(11,3) angle of rotation is 180 centre origin direction is anti- clock wise
Answer:
see explanation
Step-by-step explanation:
Under a rotation ( clockwise or anticlockwise ) about the origin of 180°
a point (x, y ) → (- y, - x ), thus
A(5, 3 ) → A'(- 3, - 5 )
B(8, 10 ) → B'(- 10, - 8 )
C(11, 3 ) → C'(- 3, - 11 )
Assume that a procedure yields a binomial distribution with a trial repeated n=18 times. Use either the binomial probability formula (or a technology like Excel or StatDisk) to find the probability of k=5 successes given the probability p=0.51 of success on a single trial.
(Report answer accurate to 4 decimal places.)
Answer:
0.0278 is the probability
Step-by-step explanation:
Okay, here we want to find the probability of 5 successes
The best way to go about this is by using the Bernoulli trial
So is p = probability of success = 0.51
Then q = probability of failure = 1-0.51 = 0.49
Mathematically, the Bernoulli approximation for k = 5 out of n = 18 is set up as follows;
P(k = 5) = nCk • p^k • q^(n-k)
P(k = 5) = 18C5 * 0.51^5 * 0.49^13
P(k = 5) = 0.027751047366 which is 0.0278 to 4 decimal places
Please answer this in two minutes
Answer:
G = 66.0
Step-by-step explanation:
Since this is a right angle, we can use trig functions
tan theta = opp/ adj
tan G = 9/4
take the inverse tan of each side
tan ^ -1 ( tan G) = tan^-1( 9/4)
G = 66.03751103
To the nearest tenth
G = 66.0
help needed! I'll mark brainiest to the right anwser thank you!
Answer:
B. Better measure of spread: the standard deviation
D. Better measure of center: the median
Step-by-step explanation:
The mean is the average of a data set.
The median value is best for measuring the center value because median measures the middle value of a set of data.
The IQR only measures the inner range of a data set.
The standard deviation is best for measuring the spread because standard deviation measures the spread of data distribution.
Hey, I need help.
A school has 486 students, and this is an 8% increase from the number of students last year. How many students were in school last year?
Please also show working out, thanks :)
486 ÷ 108
4.5 x 100
450 were there last year
Answer:
The answer is 450Step-by-step explanation:
Let the original number of students be x
Since the number of students increased by 8% we add 8% to 100% making it 108%
108% of the original number of students gave us 486
So we have
108% of x = 486
108 / 100 × x = 486
Multiply through by 100
108x = 48600
Divide both sides by 108
x = 450
So the number of students in the school last year was 450
Hope this helps you
help plz its math and i will give brainlest if u answer
Answer:
not a right triangle
Step-by-step explanation:
We can use the Pythagorean theorem to see if it is a right triangle
a^2 + b^2 = c^2
15^2 + 12^2 = 21^2
225 + 144 = 441
369 = 441
This is not true so it is not a right triangle
Answer:
Step-by-step explanation:
A triangle is a right angled triangle if sum of squares of two sides is equal to the square of third side.
12²+15²=144+225=369
21²=441
so a²+b²≠c²
it is not a right angled triangle.
X²+Y²=250 and XY=117
What are the values of X and Y?
Answer:
x = -9, y = -13 or x = 13, y = 9 or x = -13, y = -9 or x = 9, y = 13Step-by-step explanation:
[tex]x^2+y^2=250\\\\x^2-2xy+y^2+2xy=250\\\\(x-y)^2=250-2xy\\\\(x-y)^2=250-2\cdot117\\\\ (x-y)^2=16\\\\x-y=4\qquad\qquad\vee\qquad \qquad x-y=-4\\\\x=4+y \qquad\qquad \vee\qquad\qquad x=-4+y\\\\(y+4)y=117\qquad\vee\qquad\quad (y-4)y=117\\\\y^2+4y-117=0\qquad\vee\qquad y^2-4y-117=0\\\\y=\dfrac{-4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\qquad\vee\qquad y=\dfrac{4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\\\\y=\dfrac{-4\pm\sqrt{16+468}}{2}\qquad\ \ \vee\qquad y=\dfrac{4\pm\sqrt{16+468}}{2}[/tex]
[tex]y_1=\dfrac{-4-22}{2}\ ,\quad y_2=\dfrac{-4+22}{2}\ ,\quad y_3=\dfrac{4-22}{2}\ ,\quad y_4=\dfrac{4+22}{2}\\\\y_1=-13\ ,\qquad y_2=9\ ,\qquad\quad\qquad\ y_3=-9\ ,\qquad y_4=13\\\\x_{1,2}=4+y_{1,2}\qquad\qquad\qquad\qquad\qquad x_{3,4}=-4+y_{3,4}\\\\x_1=-9\ ,\qquad x_2=13\ ,\qquad\quad\qquad x_3=-13\ ,\qquad x_4=9[/tex]
Suppose that Mike invests $5000 into an account that pays 12% interest compounded
continuously. He wants to know how many years it will take for his investment to double and be worth
$10,000. Can Mike solve the following equation to find his answer? Why or why not?
2 = e 120. Solve the equation listed in the question above for t. First find the exact answer. Then
approximate your answer to three decimal places
Answer:
t = log(2)/0.12 years (exact value)
= 5.776 years (to three decimal places)
Step-by-step explanation:
The future value of an amount P at continuous interest rate i% for t years can be calculated using the continuous interest formula:
FV = Pe^((i)t)
where e is the Euler's constant = 2.7182818284....
We're given
10000 = 5000 e^((0.12)t)
simplify
2 = e^(0.12t) ........................ see below
[ please compare if this is the same as the one shown in the original question, the formula posted as "2 = e 120" does not look right, probably because of typographical difficulties, then answer if the equation given in the question can be used to solve the problem]
take (natural) log using the power property of logarithms
log(2) = 0.12t log(e)
using natural log, log(e) = 1
log(2) = 0.12t
simplify
t = log(2)/0.12 years (exact value)
To obtain the time (in years)
t = log(2)/0.12 = 0.6931/0.12 = 5.7762 years
Check using the rule of 72 (approximate)
72/12(%) = 6,
Since continuous interest accumulates interest faster, so 5.8 years sound reasonable.
a student answered 44 questions correctly on a test with 55 questions. what percent of the test was answered correctly?
(plz tell me how to figure it out)
Answer:
80%
Step-by-step explanation:
The basic idea of this problem is to convert [tex]\frac{44}{55}[/tex] into a percentage. [tex]\frac{44}{55}[/tex] can be simplified to [tex]\frac{4}{5}[/tex] which is also 80%.
Answer:
Step-by-step explanation:
44 out of 55
divide :44/55=0.8
to convert it to decimal you multiply by 100 and put percentage next to it
0.8*100=80
%80
Alexandria is practicing her long distance running. On day 0, she can run 2 miles without stopping. She wants to add 1/4 mile to her run each day.
What is the slope for this linear relationship?
Answer:
slope = 1/4
Step-by-step explanation:
If a equation is in form of y = mx + c
them m is the slope of line.
____________________________________________
Let Y(d) be the distance ran by Alexandria on dth day
Y(0) = 2
she adds 1/4 miles each day then
Y(1) = 2 + 1/4
Y(2) = 2 + 1/4 +1/4 = 2 +1/4(2)
Y(3) = 2 + 1/4 +1/4 +1/4= 2 +1/4(3)
.
.
.
.
similarly
in d days she can run 2 miles + 1/4*d miles
thus, we have
Y(d) = 2 + 1/4(d)
it can be also solved
Thus we see that it is a linear relationship y = 2 + 1/4(d)
which is in the form of y = mx + c
comparing mx to 1/4 d
we have m = 1/4
thus,
slope of this linear relationship is 1/4
when one third of a number is decreased by 11, the result is 38. find the number.
Answer:
Hey mate, here is your answer!
Step-by-step explanation:
let x be the #
x/3-11=38
x-11(3)=38(3)
x-33=114
x=114+33
x=147
i need help with this equation 20 points help quick
Answer:
[tex]\boxed{y=|\frac{1}{2}x - \frac{3}{2}|+3}[/tex]
Step-by-step explanation:
The translation is a horizontal translation.
The graph is translated 1 unit to the left. So the value of x is added by 1.
[tex]f(x+1)[/tex]
[tex]y=|\frac{1}{2} (x+1)-2|+3[/tex]
[tex]y=|\frac{1}{2}x + \frac{1}{2} -2|+3[/tex]
[tex]y=|\frac{1}{2}x + - \frac{3}{2}|+3[/tex]
write the expression in radical form. (88c)^2/3
Answer:
[tex]\sqrt[3]{88c^{2} }[/tex]
Step-by-step explanation:
If we have a term to a fractional power, that’s the same as finding the denominator root of the number - if the numerator of the fraction isn’t 1, then the term itself inside the root sign becomes the term to the numerator power.
So - since the denominator of this fraction is 3, we find the cube root of 88c. Since the numerator is 2, we square 88c.
[tex]\sqrt[3]{88c^{2} }[/tex].
Hope this helped! (By the way, this was my 100th answer!)
Royston's car had gallons of gas at the start of the trip. During the trip, he stopped at a gas station and refueled the car with gallons. If the car consumed gallons of gas during the trip, there are still gallons of gas remaining in the tank.
Answer:
3 gallons of gas are still remaining in the tank
Step-by-step explanation:
Royston's car had 15 1/5 gallons of gas at the start of the trip. During the trip, he stopped at a gas station and he refueled the car with 5 3/5 gallons. If the car consumed 17 4/5 gallons of gas during the trip, there are still ____________ gallons of gas remaining in the tank?
Given:
Initial gallons of gas=15 1/5
Refueled gallons of gas= 5 3/5
Used gallons of gas=17 4/5=89/5
Total gallons of gas available=
Initial + Refueled
=15 1/5 + 5 3/5
=76/5 + 28/5
=76+28/5
=104/5 gallons
Equivalent to
=20 4/5 gallons
Total remaining gallons of gas= Total gallons of gas available - Total gallons of gas used
=104/5 -89/5
= 104-89/5
=15/5
=3 gallons
Answer:
3 gallons
Step-by-step explanation:
Which graph represents the solution to this system of inequalities? y 2x-4
Answer:
where's the graph??? .......
A book has 282 pages,each 0.02mm thick.How thick is the book?
Answer:
5.64mm
Step-by-step explanation:
book's thickness=page thickness*number on page
book's thickness=282 pages*0.02mm
book's thickness=5.64mm
Every day, Jason runs for 34 minutes and lifts weights for 49 minutes. How many minutes will Jason spend working out in 8 days?
Answer:
664 minutes
Step-by-step explanation:
34 + 49 = 83
83 minutes a day
83 x 8 = 664
Answer:223
Step-by-step explanation: