A factory made 4250
cookies. It made 715 more butter cookies than
almond cookies. It made 5 times as many chocolate cookies as almond
cookies. How many chocolate cookies did the factory make?
Step-by-step explanation:
Total amount of cookies = 4250
butter cookies, b
Almond cookies, a
Chocolate cookies, c
It made 715 more butter cookies than
almond cookies
b = a + 715
It made 5 times as many chocolate cookies as almond
5a = c
Total amount of cookies
= a + b + c
= a + (a+715) + (5a)
= 7a + 715
7a + 715 = 4250
7a = 4250-715
a = 3535 / 7
a = 505
c = 5a
= 5 (505)
= 2525
The factory make 2525 chocolate cookies.
The number of chocolate cookies made by the factory is 2525 cookies
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of cookies = 4250 cookies
Let the number of almond cookies be = a
Let the number of butter cookies be = b
Let the number of chocolate cookies = c
So , the equation is
a + b + c = 4250 be equation (1)
Now ,
715 more butter cookies than almond cookies
Butter cookies b = 715 + a be equation (2)
And , 5 times as many chocolate cookies as almond cookies
Chocolate cookies c = 5a be equation (3)
So , substituting the values of a , b and c in equation (1) , we get
a + ( a + 715 ) + 5a = 4250
7a + 715 = 4250
Subtract 715 on both sides of the equation , we get
7a = 3535
Divide by 7 on both sides of the equation , we get
a = 505 cookies
Substitute the value of a in equation (2) , we get
b = 715 + a
b = 715 + 505
b = 1220 cookies
Substitute the value of a in equation (3) , we get
c = 5a
c = 505 x 5
c = 2525 cookies
Hence , number of chocolate cookies made by the factory is 2525 cookies
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g Chelsea left the coffee shop traveling 6 mph. Then, 4 hours later, Katie left traveling the same direction at 18 mph. How long will Katie travel before catching up with Chelsea
Answer:
2 hours
Step-by-step explanation:
Let t represent the anount of time traveled by Chelsea
Katie
d= 18t
Chelsea
d= 6(4+t)
18t= 6(4+t)
18t= 24+6t
18t-6t= 24
12t= 24
Divide bith isdes by the coefficient of t which is 12
t= 24/12
t= 2
Hence Katie will have to travel for 2 hours before catching up with Chelsea,
a- You roll a regular die (one dice). What is the probability of rolling a 4? SIMPLIFY,
IF NECESSARY.
Answer:
1/6th chance
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
there's only one 4 on a normal 1 to 6 die
The probability of Jan's school bus running late is 3/8. And 168 days of riding the bus how many times can Jan expected to be late
Answer:
Step-by-step explanation:
57=
R
70°
Q
o
S
141x-1
Solve for x. A 3 B 1 C 2 D 140
The product of nine, x and y
Answer:
(9)(x)(y) or 9(x + y)
Step-by-step explanation:
y =-x^2+6x-5
Explain how you can find the x-intercept
and show the work to find them
Step-by-step explanation:
y = -x²+6x-5
x-intercept => y= 0
-x²+6x-5=0
x²-6x+5=0
(x-5) (x-1) =0
x= 5 or x=1
(1, 0) and (5, 0)
p/o/i/t/s/f/r/e/e/;)
denada
Consider the standard form of an exponential function:
y = a (b)^x
1. How does changing the base number (inside the parentheses) change your graph? (10 points)
2. How does changing the number outside the parentheses change your graph? (10 points)
Problem 1
If 0 < b < 1, then we have exponential decay. The curve will decrease downhill as you move from left to right.
If b > 1, then we have exponential growth and the curve goes uphill as we move from left to right.
Examples: y = 2(0.5)^x is exponential decay while y = 2(1.2)^x represents exponential growth.
Note that the base b cannot be negative.
===========================================
Problem 2
Plug x = 0 into the general template given
y = a(b)^x
y = a(b)^0
y = a(1)
y = a
Plugging x = 0 leads to the output y = a
Therefore, the point (0,a) is on the curve. This is the y intercept. It's where the curve crosses the y axis. If you change the value of 'a', then you change the y intercept.
Examples:
y = 2(5)^x has y intercept 2y = 3(0.8)^x has y intercept 3Describe how the graph of g(x) x+5 -4G) -2 is related to the graph of the parent function f(x)
Answer:
I have no ideal dat is it okkkkkkk
202203948575895959539393939
please help will award brainliest
Answer:
Slope: 7/5
Step-by-step explanation:
Slope is rise over run, so from the first dot to the second one, it rises by seven and runs by 5.
Hope this helped :)
Find the next term of the sequence 2, 8, 32, ...
the next term of sequence is 128
What is the inverse operation of the square root?
Answer:
The square root function is the inverse of the squaring function just as subtraction is the inverse of addition. To undo squaring, we take the square root. In general terms, if a is a positive real number, then the square root of a is a number that, when multiplied by itself, gives a.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
The image below is a triangle drawn inside a circle with center o. which of the following expressions shows the area in square inches of the circle?
A: 3 x 3.14 x 2 ^2
B: 3.14 x 3 ^2
C: 3.14 x 2 ^2
D: 3.14 x 3
< btw can you provide an explanation while answering? I’m a bit lost here lol thank you
Answer:
the answer is 3.14 x 3 ^2
Step-by-step explanation:
the radius is half of 6 so 3 then add pi so 3.14 x 3 ^2
use this same concept for other similar question just divide the full length of the circle in half the radius the just look for the answer that has the radius pi and squared
4. The price of a motorbike is Gh 1,500.00. How much do you save if you we given a discount of 15%
Answer:
GH 225.00
Step-by-step explanation:
15% of 1500
(15÷100) × 1500
0.15×1500
225
What is the relationship between the volumes of a cone and cylinder when they both have the same radius and height? a. the cylinder is 1/3 the volume of the cone b. they have the same volume c. the cone is 1/3 the volume if the cylinder. d. their volumes are not related at all
Answer:
When a cone and cylinder have the same height and radius the cone will fit inside the cylinder. The volume of the cone will be one-third that of the cylinder. If the radius or height are different, then there is no relationship between them.
Step-by-step explanation:
If the carrier is continental airlines, what is the chance that I will be denied boarding?
Answer:
Sample Answer for Edmentum
Step-by-step explanation:
Answer: 0.0112%
Step-by-step explanation:
The sidewalk tiles leading to the town library are shaped like regular hexagons. Which of the following describes a regular hexagon?
a figure with 6 congruent sides and 6 congruent angles
a figure with 6 sides and angles that are not congruent
a figure with 5 sides and 5 angles that are not congruent
a figure with 5 congruent sides and 5 congruent angles
Answer:
D
Step-by-step explanation:
hope its right =)
"The sidewalk tiles leading to the town library are shaped like regular hexegons. Which of the following describes a regular hexagon"
A. a figure with 6 congruent sides and 6 congruent angles
B. a fugure with 6 sides and angles that are not congruent
C. a figure with 5 sides and 5 angles that are not congruent
D. a figure with 5 congruent sides and 5 congruent angles
Answer: The answer is A
Explanation: A regular hexagon/normal hexegon always has 6 congruent sides and 6 congruent angles.
I hope this helped! :)
Need help quick with full work
Answer:
(x + 5) and (x -1)
Step-by-step explanation:
Given
The attached graph
Required
The [tex]factors[/tex] of the graph
The x [tex]values[/tex] are where the [tex]curve[/tex] [tex]touches[/tex] the x-axis
The first is at:
[tex]x = -5[/tex]
Add 5 to both sides
[tex]x +5= -5+5[/tex]
[tex]x +5= 0[/tex]
This implies that the first factor is: (x + 5)
The second is at:
[tex]x =1[/tex]
Subtract 1 from both sides
[tex]x - 1 = 1 - 1[/tex]
[tex]x - 1 = 0[/tex]
This implies that the other factor is: (x - 1)
Please help within 5 minutes!!
Answer:
F
Step-by-step explanation:
The square root of 10 is about equal to 3.16, F is closest to that.
what's the answer for this question
Answers:
A) 125 cm^3C) 20*1000 + 6*100 + 7======================================
Explanations:
The cube has all sides the same length (even if the diagram may not look like it). The volume is V = length*width*height = 5*5*5 = 125 cubic cm. The answer is choice A.The number is 20,607. The "20 thousand" portion can be written into 20*1000. Effectively, we have 20 copies of "1000" being added, so we can shorthand that into multiplication. The same idea applies to 6*100 which represents 600. Overall we can say 20,607 = 20*1000+6*100+7. The answer is choice C.Part A: Students from 4 towns attend a conference. Each town is assigned a number from 1 to 4. Drag yes or no next to the first sentence.
Yes or No
A number is drawn and replaced 6 times. Is this a fair way to pick 6 members to give each town representation? __________
Part B: What is the probability that Town 1 will have at least 1 representative after 6 number draws, to the nearest percent?
probability = __________ %
Answer:
Part A - No
Part B - 100 %
Step-by-step explanation:
Part A.
This is because, a fair chance requires that each member has the same probability of being picked.
Since there are 4 towns, a fair chance would be 1/4.That is, 1 out of every town.
Part B
The probability of at least 1 representative after 6 number draws is P(at least 1) = 1 - P(none from Town 1)
P(none from town 1) = 0
P(at least 1) = 1 - P(none from Town 1)
P(at least 1) = 1 - 0 = 1
In percentage 1 × 100 % = 100 %
what is the area of the gray part of the triangle?
Area of complete triangle= 1/2 ×6 ×9 = 27 Sq Unit.
Area of rectangle inside triangle = 2× 5 = 10 sq unit.
area of the gray part of the triangle =Area of triangle - Area of rectangle = 27-10 = 17 Sq unit
Gray area = Big triangle area - white
rectangle area
Gray area = 1/2 × 6 × 9 - 2 × 5
Gray area = 3 × 9 - 10
Gray area = 27 - 10
Gray area = 17
10kg 20kg 24kg ?kg plz answer this for me
Answer:
27KG
Step-by-step explanation:
Mouse- M , Cat - C, Dog - D
M + C = 10 ----- (1)
M + D = 20 -------(2)
C + D = 24 --------(3)
(1) - (2) => C - D = -10 ---- (4)
(3) + (4) => 2C = 14
=> C = 7
Substitute C in (1) => M + 7 = 10
=> M = 3
Substitute M in (2) => 3 + D = 20
=> D = 17
Therefore C + M + D = 7 + 3 + 17 = 27KG
Can someone please answer this ASAP!!!
Which of the following does (√e^2) simplify to, for any
nonnegative real number e?
Answer:
d is correct i think because (e^2)^1/2 is equal to e^2*1/2
By simplifying the given equation ([tex]$\sqrt{e}[/tex])² we get e. Therefore, the correct answer is option D. e.
What are non-negative real numbers?The set of positive real numbers which exist greater than 0 (zero) exists as the non-negative real numbers. The statement can be written as,
R ≥ 0
Which signifies the real numbers exist either positive or zero. The set will contain numbers like {0,1, 2, 3, 4, 5,…}.
Given: ([tex]$\sqrt{e}[/tex])²
Let, [tex]$\sqrt{e} = e^{1/2[/tex]
(√e)² = [tex]$e^{(1/2*2)[/tex]
Simplifying the above equation, we get
= e¹
= e
Therefore, the correct answer is option D. e
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Devaughn is 15 years older than Sydney. The sum of their ages is 107. What is Sydney's age?
Answer:
The age of Sydney's is 46 and the age of Devaughn is 61
Step-by-step explanation:
Here;
Devaughn: 15yrs older that S..= 15+7= 22yrs old
sum of their age= 107
Now;
Sydney age= 107 - 100
7yrs old,,
can you please answer these four questions
the other answer is 6 8 /11
Answer:
First question: C. 20 7/12
Second question: B. 242
Third question: D. 4.8
Fourth Question: C. 2 5/18
Step-by-step explanation:
Answer:
20 7/12
Step-by-step explanation:
=6 1/2 + 4 2/3 + 9 5/12
=19 19/12
=19 + 1 7/12
=20 7/12
please help:
Question 3 of 10 Choose the function whose graph is given by: A. y = 2sec(2x) B. y= 2csc(z x) C. y= 2sec(3x) D. y = sec(2x) + 2
Answer is A y=2sec(2x)
The function whose graph is given by A y=2sec(2x)
What is graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function having increasingly output for inputs greater than that value of x.
If the function crosses x axis at some point, then for polynomial functions, we have those as roots of the polynomial.
The function that we are given graphed has the point (0,2), this means whichever function f(x) it represents f(0) = 2.
Now, only the sec function has the property that;
y=2sec(2x)
The function whose graph is given by A y=2sec(2x)
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Suppose Diana, an educational researcher at a local university, wants to test the impact of a new Spanish course that integrates cultural-immersion teaching techniques with standard teaching practices. She selects a simple random sample of 64 freshmen and divides them into 32 pairs, matched on IQ and high school GPA. She randomly selects one member of each pair to take the new course, while the other member in the pair takes the traditional course.
Next, Diana records the course grade, tallied on a scale from 0 to 4, for all sample members at the end of the semester, and she computes the difference in grades between the members in each matched pair by subtracting the traditional course grade from the new course grade. She wants to determine if the new Spanish course improves or weakens student performance. She runs a matched-pairs t-test to test the null hypothesis, H0:μ=0, against the alternative hypothesis, H1:μ≠0, where μ is the mean course grade difference for the student population.
The sample statistics for Diana's test are summarized in the table.
Variable description Sample mean Sample standard deviation Standard error estimate
traditional course grade x⎯⎯trad= 3.33496 strad=2.02198 SEtrad=0.33700
new course grade x⎯⎯new=3.45287 snew=2.11043 SEnew=0.35174
difference (new − traditional) x⎯⎯=0.11791 s=0.31452 SE=0.05242
Although Diana does not know the standard deviation of the underlying population of course grade differences, she assumes that the population is normally distributed because the sample data are symmetric, single-peaked, and contain no outliers.
Required:
Compute the t-statistic for Diana's matched-pairs t-test.
Answer:
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