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
To learn more about equations click :
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A triangle on the coordinate plane has vertices (-8,3), (3,9), and (9,3). What is the area, in square units, of the
triangle?
Please help
Answer:
51 sq units
Step-by-step explanation:
after plotting the vertices, the height of the triangle is 6 and the base is 17
A = 1/2(6)(17)
A = 51 sq units
The cost of a book, pen and box is Rs 48, rs 32 and rs 80.find the smallest sum of money with which exact number of book, pen and boxes can be purchased
Answer:
I think that these are only the smallest sum of money that can be purchased
please help em with this
a) 5 m
b) 8 yd
Step-by-step explanation:
a) Take the ratios of the legs of the triangles. Since they are similar triangles, those ratios are equal.
d/(4 m) = (10m)/(8 m)
Solving for d,
d =(10/8)(4 m) = 5 m
b) m/(10 yd) = (12 yd)/(10 yd + 5 yd) = 12/15 = 4/5
Solving for m,
m = (4/5)(10 yd)
= 8 yd
Answer:
d = 5m
m = 6yd
Step-by-step explanation:
Question 1.)
We know that segment GF is half of CD, therefore EF would be half of CE.
=> CE / 2 = EF or d
=> 10 / 2 = EF or d
=> 5 = EF or d
Question 2.)
We know that segment DE is half of EF, so segment EG would be half of DH;
=> DH / 2 = EG or m
=> 12 / 2 = EG or m
=> 6 = EG or m
Hope this helps!
Three coffees and two muffins cost a total of 7 dollars. Two coffees and four muffins cost a total of 8 dollars. What is the individual price for a single coffee and a single muffin?
Answer:
Cost of a coffee = $1.5
Cost of a muffin = $1.25
Step-by-step explanation:
Given:
Cost of 3 coffee and 2 muffins = $7
Cost of 2 coffee and 4 muffins = $8
Find:
Cost of each
Computation:
Assume;
Cost of a coffee = a
Cost of a muffin = b
So,
3a + 2b = 7 .......... Eq1
2a + 4b = 8 .......... Eq2
Eq1 x 2
6a + 4b = 14 ......... Eq3
From Eq3 - Eq2
4a = 6
a = 1.5
Cost of a coffee = $1.5
3a + 2b = 7
3(1.5) + 2b = 7
4.5 + 2b = 7
b = 2.5/2
b = 1.25
Cost of a muffin = $1.25
31 more than a number is 12
Answer:
-19.
Step-by-step explanation:
-19+31 gets you 12.
A cab company charges a flat fee of $4 for a new passenger. it then charges $2.35 per mile until until the destination is reached
1- 4m+ 2.35=total cost
2- 4m-2.35=total cost
3- 2.35-4m= total cost
4- 2.35m+4=total cost
PLEASE I NEED ANSWERS!!
Answer:
number 2 is your answer for your problem
Each week the manager of a coffee shop orders three more cases of soy milk than almond milk. Let x represent the cases of almond milk and lery
represent the cases of soy milk
Create a table to represent this relationship.
Move each necessary number to its appropriate row to complete the table.
1
5
4
7
12
Answer:
1 4
2 5
4 7
7 10
9 12
Step-by-step explanation:
what does 7 x 1/3 equal to ?
Please help just put answer
The answer is: 15 ft
Using the distributive property, what number would go in the blank in order for the given statement to be correct? 4(x – _) = 4x – 16
Answer:
4(x - 4) = 4x - 16
Step-by-step explanation:
4(x - A) = 4x - 16
4x - 4A = 4x - 16
Equating Constant terms (terms without x): -4A = -16
A = 4
Therefore , 4(x - 4) = 4x - 16
The answer is 4.
In order to find the answer, divide 4 from the each number on the right side. You pull the 4 out from 4x, and 4 from 16 to arrive at 4(x - 4).
The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is __________ .
Answer:
The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%
Step-by-step explanation:
Complete question
Please find the attachment
Solution
The frequency distribution is as follows
Interval Frequency Cumulative Frequency Relative Cumulative Frequency
1 to 5 8 8 0.16
6 to 11 8 16 0.32
11 to 15 13 29 0.58
16 to 20 9 38 0.76
21 to 25 3 41 0.82
26 to 30 4 45 0.9
31 to 35 3 48 0.96
36 to 40 2 50 1
The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%
The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 0.68.
From the given figure (image 1)
The cumulative frequency of students who earned a score of 20 or lower on the quiz is = 4+8+15+7=34.
Total frequency is = 4+8+15+7+7+3+4+2=50.
So the relative cumulative frequency is = 34/50 = 0.68 = 68%
Learn more: https://brainly.com/question/13646998
Solve the following using substitution method
Solution :
2a + 2b = 7 ...1)
4a + 3b = 12 ...2)
In equation, 1)
a = (7 - 2b)/2 ...3)
Putting value of a in equation 2) we get :
4 × (7 - 2b)/2 + 3b = 12
2( 7 - 2b ) + 3b = 12
14 - 4b + 3b = 12
b = 2
Putting value of b in 3) we get :
a = ( 7 - 2×2)/2
a = 3/2 = 1.5
Now,
2x - 3y = 16 ...5)
x + 2y = -6 ...6)
x = -6 - 2y
Putting above value of x in eq 5) , we get :
2( -6 - 2y ) - 3y = 16
-12 - 4y - 3y = 16
7y = -28
y = -4
x = -6 - ( 2× -4 )
x = 2
Hence, this is the required solution.
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
X+7
X+1
Area=
ASAP!!!!!!
Answer:
Area = x² + 8x + 7
Step-by-step explanation:
Area of a rectangle formula = L * W
Length (L) of the given figure = (x + 7)
Width (W) of the given figure = (x + 1)
Area = L * W
Area = (x + 7) * (x + 1)
=> x * x = x²
=> x * 1 = 1x or x
=> 7 * x = 7x
=> 7 * 1 = 7
Combining it all together;
Area = x² + 1x + 7x + 7
Combine the like terms:
Area = x² + 8x + 7
Hope this helps!
The area of the entire rectangle in the polynomial form will be x² + 8x + 7.
What is the area of the rectangle?Let W be the rectangle's width and L its length. The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be given as,
Area of the rectangle = L × W square units
The dimensions of the big rectangle are x + 1 high and x + 7 long. Then the area of the rectangle is calculated as,
A = (x + 7)(x + 1)
Simplify the equation, then we have
A = (x + 7)(x + 1)
A = x² + 7x + x + 7
A = x² + 8x + 7
More about the area of the rectangle link is given below.
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Kyle typed 574 words in 14 minutes. How many
Answer:
Kyle typed 574 words in 14 minutes. How many...........?????????
il.l just divide 574 divided by 14= 41
Step-by-step explanation:
:)
Answer:
41 like I said in the comments.
Step-by-step explanation:
Find the area of following rhombuses. Round your answers to the nearest tenth if
necessary.
Answer:
[tex]Area =55.4ft^2[/tex]
Step-by-step explanation:
Given
The attached rhombus
Required
The area
First, calculate the length of half the vertical diagonal (x).
Length x is represented as the adjacent to 60 degrees
So, we have:
[tex]\tan(60) = \frac{4\sqrt 3}{x}[/tex]
Solve for x
[tex]x = \frac{4\sqrt 3}{\tan(60)}[/tex]
[tex]\tan(60) = \sqrt 3[/tex]
So:
[tex]x = \frac{4\sqrt 3}{\sqrt 3}[/tex]
[tex]x = 4[/tex]
At this point, we have established that the rhombus is made up 4 triangles of the following dimensions
[tex]Base = 4\sqrt 3[/tex]
[tex]Height = 4[/tex]
So, the area of the rhombus is 4 times the area of 1 triangle
[tex]Area = 4 * \frac{1}{2} * Base * Height[/tex]
[tex]Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4[/tex]
[tex]Area =2 * 4\sqrt 3 * 4[/tex]
[tex]Area =55.4ft^2[/tex]
Plz help me this is urgent!!
What is the area of the triangle below?
O 27 square units
O 45 square units
O 54 square units
O 90 square units
Your answer should be 27 square units
Answer: 54
Step-by-step explanation:
Help!!!!!!!!!!! !!!!!
Answer:
D. 3900π
Step-by-step explanation:
volume = 1/3 πr²h ... r = 30, h = 13
v = 1/3 * 30² * 13 * π = 3900π
Find the volume of this square
based pyramid.
8 cm
6 cm
[? ]cm3
Answer:
the answer would be 128cm³
Step-by-step explanation:
have a great rest of ur day
Answer:
96cm
Step-by-step explanation:
P(A and B)=P(A)•P(B) is used when two events are used when two events are
Answer:
Independent.
Step-by-step explanation:
Independent events:
Two events, A and B, are said to be independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Thus, P(A and B)=P(A)•P(B) is used when two events are independent.
Find all solutions
for cotx=-1
Answer:
[tex]\cot(x) = -1[/tex] whenever [tex]\displaystyle x = k\, \pi-\frac{\pi}{4}[/tex] radians, where [tex]k[/tex] could be any integer ([tex]k \in \mathbb{Z}[/tex], which includes positive whole numbers, negative whole numbers, and zero.)
Step-by-step explanation:
[tex]x = 45^\circ[/tex] (as in isoscele right triangles) would ensure that [tex]\displaystyle \cot(x) = 1[/tex]. Since cotangent is an odd function, [tex]\cot(-45^\circ) = -1[/tex].
Equivalently, when the angles are expressed in radians, [tex]\cot(-\pi / 4) = -1[/tex].
The cycle of cotangent is [tex]\pi[/tex] (or equivalently, [tex]180^\circ[/tex].) Therefore, if [tex]k[/tex] represents an integer, adding [tex]k\, \pi[/tex] to the input to cotangent would not change the output. In other words:
[tex]\displaystyle \cot\left(k\, \pi - \frac{\pi}{4}\right) = \cot(-\pi / 4) = -1[/tex].
Hence, [tex]\displaystyle x = k\, \pi-\frac{\pi}{4}[/tex] would be a solution to [tex]\cot(x) = -1[/tex] whenever [tex]k[/tex] is an integer.
Since [tex](-\pi / 4)[/tex] is the only solution to this equation in the period [tex](0,\, \pi)[/tex], all real solutions to this equation would be in the form [tex]\displaystyle x = k\, \pi-\frac{\pi}{4}[/tex] (where [tex]k[/tex] is an integer.)
5. The Toy Car Company sells toy cars for $8.00
per car and charges $3.50 for shipping.
a.
Answer:11.50
Step-by-step explanation:
Find the missing probability.
Answer: d
Step-by-step explanation:
HELP PLSS I DONT UNDERSTAND A THING
Answer:
1 no
angle 1 =53 degree (being vertically opposite angle)
angle 2=127 degree(being linear piar)
angle 3 =127 degree(being vertically opposite angles)
2 no
angle 1=155.1(being linear pair)
angle 2=24.9(being vertically opposite angles)
angle 3=155.1(beinf linear pair)
3 no
angle 1=68 degree(being linear pair)
angle 2=112 degree(being vertically opposite angle)
angle 3=68 degree(being vertically opposite angle)
4 no
angle 1=54.5 degree(being linear pair)
angle 2=125.5 degree(being vertically opposite angle)
angle 3=54.5 degree(being vertically oppostie angle)
Step-by-step explanation:
Five percent of all cars manufactured at a large auto company are lemons. Suppose two cars are selected at random from the production line of this company. Let x denote the number of lemons in this sample. Write the probability distribution of x.
What is the approximate volume of the cylinder use 22/7 for 3.14 round to the nearest whole number
Answer:
the formula for a cylinder is πr^2•h
Step-by-step explanation:
just plug in the numbers, and you can change π to 3.14 for an approximate answer!
hopefully this helps you!
[tex]\pi {r}^{2} h \\ 22 \div 7 \times {r}^{2} h[/tex]
A rectangular yard has area 96 square feet. The width of the yard is 4 feet less than the length. Find the length. in feet, of the rectangular yard.
Answer:
24 ft
Step-by-step explanation:
To find the missing length, we start with the area. We know that we have an area of 96 square ft (although i dont know why someone would have such a big yard). We also know that the width of the yard is 4 ft. The next thing we do is divide. Since we multiply the length and width to find the area, we will divide the area by the width to find the missing length. 96/4= 24. Btw here is the weird yard someone has lol ( i made it to the best of my ability)
|----------------------------------------------------------|
|_______________________________|
Answer:
length=12 feet
Step-by-step explanation:
l*w=a
l*w=96
factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
12*8=96
12-8=4
12 feet=length 8 feet=width
Slope Formula
What is the slope of the line with points (-3, -3) and (-1, - 2)?
Answer:
1/2
Step-by-step explanation:
Slope can be expressed with the formula below
Which is is the difference in y axis over that of x axis
m=( y2 - y1)/(x2 - x1)
( x1 y1) = (-3, -3)
x2 y2)= (-1, - 2)
= ( -2+3)/(-1+3)
m= 1/2
Hence, the slope of the line is 1/2
Which is the m WZY? Need quick answers!!
Answer:
B. 55°
Step-by-step explanation:
Recall: relationship between inscribed angle and the measure of the intercepted arc [(inscribed angle = ½(intercepted arc)]
Inscribed angle = m<WZY
Intercepted arc = arc WY = 110°
Therefore:
m<WZY = ½110°)
m<WZY = 55°
please no link! need question answered as soon as possible
[tex]\huge\bold{Given :}[/tex]
Angle 1 = 40°
Angle 2 = x°
Angle 3 = ( x + 28 )°
[tex]\huge\bold{To\:find :}[/tex]
The value of x.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]{\boxed{\mathcal{\purple{The\:value\:of\: x \:is\:56 ° .\:}}}}[/tex]✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°
➪ 40 + x° + x° + 28° = 180°
➪ 2x° + 68° = 180°
➪ 2x° = 180° - 68°
➪ x° = [tex] \frac{112° }{2} [/tex]
➪ x° = 56°
[tex]\sf\red{Therefore, \:the\: value \:of \:x\: is \:56°.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
∠ 1 + ∠ 2 + ∠ 3 = 180°
✒ 40° + 56° + 56° + 28° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
i know the answer but i need a thorough explanation on how to do this. pls answer the questions i have for brainliest thank you
Answer:
i think because it's powered by 4