Answer:
Each fudge cookie has 80 calories.
Each lemon cream has 65 calories.
Step-by-step explanation:
We will let [tex]\ell[/tex] represent the calories in lemon creams and [tex]f[/tex] represent the calories in fudge cookies.
Two lemon creams and four fudge cookies together have 450 calories. So, we can write the following equation:
[tex]2\ell+4f=450[/tex]
And four lemon creams plus two fudge cookies together have 420 calories. So, we can write the following equation:
[tex]4\ell+2f=420[/tex]
We now have a system of equations. We can solve this by elimination.
For the first equation, we can multiply both sides by -2. This way, the [tex]\ell[/tex] will cancel when we add the two equations together.
So, the first equation becomes:
[tex]-4\ell-8f=-900[/tex]
Add this to the second equation. Hence:
[tex](-4\ell+4\ell)+(-8f+2f)=(-900+420)[/tex]
Simplify:
[tex]-6f=-480[/tex]
Divide both sides by -6. Hence:
[tex]f=80[/tex]
So, there are 80 calories in one cookie.
We can use the first equation again to find the amount of calories in one cream. We have:
[tex]2\ell+4f=450[/tex]
Substituting 80 for [tex]f[/tex] yields:
[tex]2\ell+320=450[/tex]
Then it follows that:
[tex]\ell=65[/tex]
So, there are 65 calories in each lemon cream.
Answer:
567
Step-by-step explanation:
PLEASE PLEASE HELP
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 185 grams of a radioactive isotope, how much will be left after 6 half-lives?
Use the calculator provided and round your answer to the nearest gram.
Answer:
Approximately 3 grams left.
Step-by-step explanation:
We will utilize the standard form of an exponential function, given by:
[tex]f(t)=a(r)^t[/tex]
In the case of half-life, our rate r will be 1/2. This is because 1/2 or 50% will be left after t half-lives.
Our initial amount a is 185 grams.
So, by substitution, we have:
[tex]\displaystyle f(t)=185\big(\frac{1}{2}\big)^t[/tex]
Where f(t) denotes the amount of grams left after t half-lives.
We want to find the amount left after 6 half-lives. Therefore, t = 6. Then using our function, we acquire:
[tex]\displaystyle f(6)=185\big(\frac{1}{2}\big)^6[/tex]
Evaluate:
[tex]\displaystyle f(6)=185\big(\frac{1}{64}\big)\approx2.89\approx 3[/tex]
So, after six half-lives, there will be approximately 3 grams left.
The y-intercept of the equation x + 2y = 18 is 9.
True
False
If I'm correct, it's true.
Sasha is in Chicago, where a thermometer outside reads –7 °F. Anna is in New York, where a thermometer outside reads –4 °F. Which temperature is coldest and why?
Answer:
-7 is colder, so Sasha has the coldest temperature.
Step-by-step explanation:
Simple as it is, -7 is 7 degrees below 0 which means its far more negative than -4. On a number line -7 would be the farthest dot from 0 on the left which you'd want to choose.
Passes through (-4, -3), slope = -2.
9514 1404 393
Answer:
y +3 = -2(x +4)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
For your given point and slope, this is ...
y -(-3) = -2(x -(-4))
y +3 = -2(x +4)
How do i do this pls help me
standard form (ax + by = c) to slope-intercept form (y = mx + b)
x-y= -8 (ANSWER?)
Answer:
y = x + 8
General Formulas and Concepts:
Algebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define
Standard Form: x - y = -8
Step 2: Rewrite
Find slope-intercept form
Subtract x on both sides: -y = -x - 8Divide -1 on both sides: y = x + 825 x 130 is the same as
Answer:
ANY OF THESE
Step-by-step explanation:
1 x 3250 = 3250
2 x 1625 = 3250
5 x 650 = 3250
10 x 325 = 3250
13 x 250 = 3250
25 x 130 = 3250
26 x 125 = 3250
50 x 65 = 3250
65 x 50 = 3250
125 x 26 = 3250
130 x 25 = 3250
250 x 13 = 3250
325 x 10 = 3250
650 x 5 = 3250
1625 x 2 = 3250
3250 x 1 = 3250
The multiplication exercise involving 25 x 130 is the same as; 3250.
According to the question;
we are required to determine an equivalent of 25 x 130.By step by step evaluation,
25 × 130 = 25 (100 + 30)= 2500 + 750= 3,250Upon multiplication of 25 by 130; the result yields 3250.
Consequently, we can say 25 x 130 is the same as; 3250
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7. What is a metaphor? *
Answer: A
Step-by-step explanation: B is a simile, D isn't true, and C doesn't exist (there is no type of figurative language that means that). I hope this helps you out!
The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle
Answer:
The width of the rectangle is 14'8", and the length is 33'4"
Step-by-step explanation:
We're given two pieces of information:
The length is eight more than twice the width:
[tex]l = 2w + 4[/tex]
The perimeter is 96 feet:
[tex]p = 96[/tex]
We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:
[tex]p = 2l + 2w[/tex]
We can solve for w by plugging the other two values into the last:
[tex]p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}[/tex]
Now we can find the length by plugging w into the first equation:
[tex]l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}[/tex]
One third of a foot is four inches, so the width is 14'8" and the length is 33'4"
To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:
[tex]p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96[/tex]
So we know our answer's correct
60 feet of wire is needed for a connection. An 80 meter roll of vire is to be
used. How much wire is left over?
answer:
61.712
Step-by-step explanation:
60 feet = 18.288
left wire = 80-18.288 = 61.712
Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of pump required depends on the depth of the mine. If pumping out a mine that is D feet deep requires a pump that pumps a minimum of + 4D – 250 gallons per minute, pumping out a mine that is 150 feet deep would require a pump that pumps a minimum of how many gallons per minute?
Individual Question
362
500
800
1,250
1,750-
A because I did it
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Which one of these is NOT a step used when constructing an inscribed hexagon using technology? (5 points)
Connect the point with a line through the center of the circle.
Mark the points of intersection between the two circles.
Create another circle with the same radius as the original.
Create a circle using the center with given point tool.
Answer:
the answer is A, connect the point with a line through the center of the circle
Step-by-step explanation:
Create another circle with the same radius as the original. Technology doesn't require this step. Lines, intersections, and circles with the centre and provided point are the steps.
When building an inscribed hexagon with technology, this step is skipped: Make a circle with the same radius as the first.
The following steps are used to build an inscribed hexagon: Create a circle using the centre with a point tool to illustrate the circumscribed circle.
Connect the point with a line through the circle's centre to create its diameter.
Mark the intersections of the two circles (the hexagon's vertices).
Form the inscribed hexagon by connecting the marked spots.
The typical method for building an inscribed hexagon does not involve making a circle with the same radius.
To know more about radius
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parabola with focus (2, 1) and directrix x=-8
Consider we need to find the equation of the parabola.
Given:
Parabola with focus (2, 1) and directrix x=-8.
To find:
The equation of the parabola.
Solution:
We have directrix x=-8. so, it is a horizontal parabola.
The equation of a horizontal parabola is
[tex](y-k)^2=4p(x-h)[/tex] ...(i)
where, (h,k) is center, (h+p,k) is focus and x=h-p is directrix.
On comparing focus, we get
[tex](h+p,k)=(2,1)[/tex]
[tex]h+p=2[/tex] ...(ii)
[tex]k=1[/tex]
On comparing directrix, we get
[tex]h-p=-8[/tex] ...(iii)
Adding (ii) and (iii), we get
[tex]2h=2+(-8)[/tex]
[tex]2h=-6[/tex]
Divide both sides by 2.
[tex]h=-3[/tex]
Putting h=-3 in (ii), we get
[tex]-3+p=2[/tex]
[tex]p=2+3[/tex]
[tex]p=5[/tex]
Putting h=-3, k=1 and p=5 in (i), we get
[tex](y-1)^2=4(5)(x-(-3))[/tex]
[tex](y-1)^2=20(x+3)[/tex]
Therefore, the equation of the parabola is [tex](y-1)^2=20(x+3)[/tex].
Can some one help me with this PLZ
Answer:
Option 3
Step-by-step explanation:
First, you want at least 3 items for each guest. There are 35 guests, so the total amount of items, represented by x+y, must be >= 35*3=105
Next, you cannot spend more than $150, so the total price, represented by 1.3x+1.2y, must be <= 150
Option 3 fulfills both
1/8 + c = 4/5
Find what c is
c = 27/40
Pic is below for explanation
God bless !
An electric clock takes 8 seconds to sound 3 times at 3:00. How long would it take to sound 6 times at 6:00?
Answer:
16 seconds
Step-by-step explanation:
You basically have to do all numbers times 2
The required time the electric clock would take to sound 6 times is 16 seconds at 6:00.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
It takes 8 seconds for an electric clock to sound 3 times, so it takes,
= 8 / 3 = 2.67 seconds to sound once.
Therefore, the time it would take
= 2.67 × 6
= 16 seconds
Thus, the required time the electric clock would take to sound 6 times is 16 seconds at 6:00.
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Douglas will paint two walls in his living room. One wall is 15 feet long, and the other wall is 132 feet long. Each
wall has a height of 10 feet.
What is the area Douglas will paint in square feet?
Answer:
1470 square feet
Step-by-step explanation:
15x10 =150
132×10=1320
total =1479
Which of the following represents a relation that is not a function?
A.
x -7 -5 -7 1
y 33 31 39 33
B.
x 8 -5 13 -7
y 33 31 39 33
C.
x -7 -5 -1 1
y 33 31 39 33
D.
x -7 -5 8 13
y 33 31 39 33
Answer:
C.
x -7 -5 -1 1
y 33 31 39 33
Step-by-step explanation:
think so
Tools -
Question 6
Two parallel lines are cut by a transversal, as shown below.
x + 40
3x
What is the solution when solved for x, and why?
Answer: (D) x=20
I know this because i took the test and got the answer right....amen
Anybody know the Explicit definition?
Answer:
of??
what word- you posted nothing
help me plasssss sro
Answer:
i personally think it is B i might be wrong tho
Step-by-step explanation:
7.
Which of the following describes the parabola with the equation y = x2 + 2x + 1?
A.The axis of symmetry is x = 1 and the vertex is (1,4).
s
B.The axis of symmetry is x = 1 and the vertex is (1, 2).
rabolas
C.The axis of symmetry is x = 0 and the vertex is (0, 1).
as
D.The axis of symmetry is x = -1 and the vertex is (-1,0).
arabolas
The axis of symmetry is x = -1 and the vertex is (-1,0). Therefore, option D is the correct answer.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The given quadratic equation is y=x²+2x+1.
From the graph axis of symmetry is x=-1
Rewrite in vertex form and use this form to find the vertex (h,k).
(-1, 0)
Therefore, option D is the correct answer.
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Dimitri scored 44% of the points in two person basketball game against another team. His partner scored the rest of the points . If dimitri scored 22 points how many points did his partner score
Dimitri and his partner scored a total of points during the game so his part scored points
Answer:
28
Step-by-step explanation:
44/100×x=22
x=50
x=total goals scored
50-22=28
Dimitri and his partner scored a total of points will be are 50. So, his part scored points will be 28.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
Dimitri scored 44% of the places in a two-man b-ball game against another group. His accomplice scored the other focuses. On the off chance that Dimitri scored 22 focuses the number of focuses that did his accomplice score.
Let 'x' be the total scored. Then the equation is given as,
44% of x = 22
0.44x = 22
x = 50
The points scored by his partner will be given as,
⇒ 50 - 22
⇒ 28
Dimitri and his accomplice scored a sum of focuses will be 50. In this way, his part scored focus will be 28.
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Les is sending 8 identical catalogs to one of his customers.
If the package with the catalogs weighs 6.64 pounds, how much does each catalog weigh?
Answer:
the answer is 0.83
show me the steps to complete the steps to solve for x 4/5x - 1//4x = 11
Answer:
The value of x = 20
Step-by-step explanation:
Given the expression
[tex]\frac{4}{5}x\:-\:\frac{1}{4}x\:=\:11[/tex]
The L.C.M of 5,4: 20
Multiply by LCM = 20
[tex]\frac{4}{5}x\cdot \:20-\frac{1}{4}x\cdot \:20=11\cdot \:20[/tex]
Simplify
[tex]16x-5x=220[/tex]
[tex]11x=220[/tex]
Divide both sides by 11
[tex]\frac{11x}{11}=\frac{220}{11}[/tex]
[tex]x=20[/tex]
Therefore, the value of x = 20
True or False:
7>11>15>19
The number to complete the pattern is 4.
If > = To and < = From
A) True
B) False
Answer:
false
Step-by-step explanation: ur welcome
Elena biked 8 miles on saturday. On saturday, she biked 75% of her distance, how far was that?
Answer:
6 miles
Step-by-step explanation:
75% = [tex]\frac{3}{4}[/tex], so that means she biked 8·[tex]\frac{3}{4}[/tex] which is 24/4 = 6
Answer:
6 miles
Step-by-step explanation:
75/ 100 x 8= 3/4 x 8=6 miles
Pls help I need help!!!! Please
You can use this rule to work out the total charge for hiring a cement mixer.
Total charge:£30+£7 every hour of hire
On Monday, Sally hired a cement mixer for 4 hours.
(a) Work out Sally’s total charge.
Choose the category of transformation related to the following statement:
Answer:
rigid
Step-by-step explanation:
find the total surface area of a right cylinder whose base is 8 inches and whose altitude is 12 inches. round to the nearest square inch
Answer:56cm
Step-by-step explanation: