Paolo is using his grandmother’s cookie recipe. He always doubles the amount of chocolate chips and oats. The recipe calls for 212 cups of chocolate chips. The total amount of chips and oats after doubling is 613 cups.

Write an equation to find the original amount of oats, x, in the recipe.

Answers

Answer 1

Answer:

y = 94.5 cups

Step-by-step explanation:

Let's say:

y = oatsx = chocolate chips = 212

=> Full Recipe = 212 + y

=> 2(Full Recipe) = 2(212 + y) = 613 cups

=> 2(Full Recipe) = 424 + 2y = 613 cups

=> 2y = 613 - 424

=> 2y = 189

=> y = 94.5

Therefore, the required oats to do double the recipe is 94.5 cups.

Hoped this helped.

[tex]GeniusUser[/tex]


Related Questions

the sum of two numbers is 10, the sum of their squares is 58 determine the two numbers​

Answers

Answer:

7 and 3

Step-by-step explanation:

Using the given information, one can form an equation. Let the first number be (x) and the second (y).  For two equations based on the given information.

"the sum of two numbers is 10"

x + y = 10

" the sum of their squares is 58 determine"

[tex]x^2+y^2=58[/tex]

Solve for the equation for (x), then substitute the expression for (x) into the second equation. Simplify and solve to find the value of (y), and backsolve for the value of (x).

x + y =10

x = 10 -y

Substitute into the other equation:

[tex]x^2+y^2=58[/tex]

[tex](10-y)^2+y^2=58[/tex]

Simplify, remember the pattern for opening a binomial squared:

[tex](a - b)^2=a^2-2ab+b^2[/tex]

Apply this pattern here to simplify,

[tex](10-y)^2+y^2=58[/tex]

[tex]100-20y+y^2+y^2=58[/tex]

Simplify further,

[tex]100-20y+y^2+y^2=58[/tex]

[tex]2y^2-20y+100=58[/tex]

Inverse operations,

[tex]2y^2-20y+100=58[/tex]

[tex]2y^2-20y+42=0[/tex]

Factor, take out a common factor that all of the terms have. Then rewrite the quadratic trinomial as the product of two linear binomials. Remember the general pattern for factoring, add the inverse of the factors of the constant term to the variable, the sum of these factors must equal the coefficient of the linear term of the quadratic trinomial.

[tex]2y^2-20y+42=0[/tex]

[tex]2(y^2-10y+21)=0[/tex]

[tex]2(y-7)(y-3)=0[/tex]

Now use the zero product property to solve, the zero product property states that any number times zero equals zero.

[tex]2(y-7)(y-3)=0[/tex]

[tex]y = 7, y = 3[/tex]

Since the sum of (7) and (3) is (10), one has found the values of (y), it can be either (7) or (3), it doesn't matter which equals which.

A right triangle has a 12in base and an 8in height. What is the area of the triangle, in in??​

Answers

Answer:

48

Step-by-step explanation:

using the formula 1/2 b*h

8*12=96

96/2=48

Someone Help! PLEASE!
Jesse is taking the tests needed to join the math team. His scores were 89, 92, 94. What's the lowest score he can get on the fourth test and still have a 90 average?

Answers

Answer:

The lowest score could be 85

Step-by-step explanation:

Let the  lowest score = x

(x + 89 + 92 + 94)/4 = 90                     Add the 3 scores you know

(x + 275)/4 = 90                                    Multiply both sides by 4

(x + 275) = 360                                     Remove the brackets.

x + 275 = 360                                       Subtract 275

x = 360 - 275

x = 85

the perimeter of a rectangular plot of land whose length is (2x+5)m and width (x-10)m is 80m. Find the
i)value of x
ii)area​

Answers

Answer:

P.=2(2x+5)+2(x-10)=80cm

6x-10=80

x=90/6=15cm

Area= L*W= 35*5=175 squared cm= 0.0175 squared m

SOMEONE HELP ME PLEASE

Answers

i dont know if this help

Find cos A and cot B exactly if a=15 and b=11 , what will Cos A be and Cot B be?

Answers

Answer:

D. <15/√346>

Have a nice day! :)

First, find the length of each edge of the cube.
Then, find the volume.

Answers

the length of each edge of the cube would be 6cm, and to find the volume you would do 6x6x6 which is 326 cm cubed

since in a cube length, width and height are equal,

h = 6

w = 6

l = 6

and volume is 6³ = 216cm³

hope it helps :)

What is the nth term for number sequence
2;5;7;12;19

Answers

Answer:

13

Step-by-step explanation:

Have a nice day

Express -5/8 as a rational number with -24 as the denominator​

Answers

Answer:

Step-by-step explanation:

Hello!

-5/8 = (-5*-3)/ (8*-3) = 15/-24

Brianna's Bakery offers 3 flavors of bagels. Customers can choose from plain, cinnamon, or blueberry bagels. Yesterday, a customer ordered 144 bagels for a company meeting. The order was for twice as many blueberry bagels as plain bagels and 3 times as many cinnamon bagels as blueberry bagels.
How many cinnamon bagels did the customer order

Answers

Answer:

96 darling

Step-by-step explanation:

youre gonna take all the times this was teice as mich as that

like this:blueberrybagel twice as much 2

than plain bagels 1

cinnamonbags 3 times as much than

blueberry bagels 2×3= 6+

=9

EACH portion contains144:9=16 bagels

blueberry ones16×2=32

plain ones16×1=16

cinnamon ones 3×32=96

Goalie is determined using the formula A = 60 a equals 60 left-parenthesis StartFraction g Over t EndFraction right-parenthesis.. In

Answers

Answer:

g = At/60

Step-by-step explanation:

A = 60(g/t)

To solve for 'g'

Open the bracket

A = 60g/t

Multiply both sides by t

At = 60g

Divide both sides by 60

At/60 = 60g/60

At/60 = g

f(x) = (x - 5) (2x - 7) (7x - 3) has zeros at x = -3.5, x = 3/7, and x = 5.

what is the sign of f on the interval 3/7 < x < 5 ?

1. f is always positive on the interval.
2. f is always negative on the interval.
3. f is sometimes positive and sometimes negative on the interval.

Answers

The function f(x) will be sometimes positive and sometimes negative on the interval so option (3) will be correct.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

In other terms, a function is a relationship between variables, and the type of relationship that exists between the variables defines the function, such as y = sinx and y = x +6.

Given function is

f(x) = (x - 5) (2x - 7) (7x - 3)

The term (x - 5) will be negative if x < 5.

The term (2x - 7) will be negative if x<3.5

Let's say if x = 4 then (x - 5) will be negative but (2x - 7) will be positive and hence overall value will be negative.

But if x = 3 then (x - 5) will be negative and (2x - 7)  will also be negative and hence overall value will be negative

Hence the function f is sometimes positive and sometimes negative on the interval.

For more about the function

brainly.com/question/23712366

#SPJ5

Answer:

always negative the other guy was wrong because when you wrote 2x - 7 you meant 2x + 7 I know this because it’s on Khan Academy

Step-by-step explanation:

A square has a perimeter of of 28 m. What is the length of each side

Answers

Answer:

a square has 4 sides therefore the formula for perimeter of a square would be 4a where a is the number of sides. in this case, we want to know the length of each side so we divide total length (28) by number of sides which is 4 and we get 7m

Answer:

the side lengths of a square are equal. Second, know that the sum of all 4 side lengths gives us the perimeter.

Find the length of side x in simplest radical form with a rational denominator.
459
4
95
Answer: 2 =
Submit Answer
HELP HELP HELP HELP PLSSSSSSS

Answers

Answer:

x= 2/2

Step-by-step explanation:

Show that the line 4y = 5x-10 is perpendicular to the line 5y + 4x = 35 ​

Answers

Step-by-step explanation:

concept :concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines areconcept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines are4y = 5x-10concept :When two lines are perpendicular, then the product of their slopes is equivalent to -1.Equation of line in the form y = mx + c have m as slope of line and c as y-intercept.Solution:Given equations of lines are4y = 5x-10or, y = (5/4)x(5/2). .....(1)5y + 4x = 355y + 4x = 35ory = (-4/5)x + 7. ......(2)Let m and n be the slope of equations i and ii, respectively.Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5therefore, mx n = -1Let m and n be the slope of equations i and ii, respectively.Here, m = 5/4n= -4/5therefore, mx n = -1Hence, the lines are perpendicular.

find the value of a) 4:12

Answers

Step-by-step explanation:

1:4 bcos u need to divide both sides by 4

Pls help Which of the following exponential equations is equivalent to the logarithmic equation below ? In x = 7

Answers

Answer:

Step-by-step explanation:

Let's write that out completely:

[tex]ln_e(x)=7[/tex] The rule for going from log to exponential is what I call the "circular rule" in my classes and the kids never forget it. Take the base of the log, raise it to the power of the number on the other side of the equals sign, and then circle back to set it equal to the argument.

e is the base. Raise e to the 7th and circle back to set the whole thing equal to x (x is called the argument):

[tex]e^7=x[/tex] choice C.

Find the value of x.

Answers

Answer:

ᴀꜱ ᴡᴀʀᴍ ᴀꜱ ꜱᴜɴ

ᴀꜱ ꜱɪʟʟʏ ᴀꜱ ꜰᴜɴ

ᴀꜱ ᴄᴏʟᴅ ❄️ ᴀꜱ ᴀ ᴛʀᴇᴇ

ᴀꜱ ꜱᴄᴀʀʏ ᴀꜱ ꜱᴇᴀ

ᴀꜱ ʜᴏᴛ ᴀꜱ ꜰɪʀᴇ

ᴀꜱ ᴄᴏʟᴅ ᴀꜱ ɪᴄᴇ

ꜱᴡᴇᴇᴛ ᴀꜱ ꜱᴜɢᴀʀ

ᴀɴᴅ ᴇᴠᴇʀʏᴛʜɪɴɢ ɴɪᴄᴇ

ᴀꜱ ᴏʟᴅ ᴀꜱ ᴛɪᴍᴇ ⌛

ᴀꜱ ꜱᴛʀᴀɪɢʜᴛ ᴀꜱ ʟɪɴᴇ ➖

ᴀꜱ ʀᴏʏᴀʟ ᴀꜱ ᴀ ᴀɴɢᴇʟ☺️

ᴀꜱ ʙᴜᴢᴢᴇᴅ ᴀꜱ ʙᴇᴇ

ᴀꜱ ꜱᴛᴇᴀʟᴛʜ ᴀꜱ ᴛɪɢᴇʀ

ꜱᴍᴏᴏᴛʜ ᴀꜱ ɢʟɪᴅᴇʀ

ᴘᴜʀᴇ ᴀꜱ ʜᴇᴀʀᴛ ❤️

ᴘᴜʀᴇ ᴀꜱ ɪ ᴡᴀɴɴᴀ ʙᴇ

Step-by-step explanation:

hehehehehe I'm xxxxxd

Saniya........ Khan ❤️

PLEASE HELP IT IS DUE IN TWO HOURS AND I CANT UNDERSTAND IT PLSSSSSS

Answers

Answer:

The distance from Tre’s house to Owen’s house is 10 miles.

The distance from Owen’s house to Alejandro’s house is 14 miles.

The distance from Alejandro’s house to the beach is about 10.77 miles.

The total distance of the trip to the beach is about 33.53 miles

Step-by-step explanation:



help
1) find the value of x
2)find length of a side of the square

Answers

Answer:

x = 12 , s = 41

Step-by-step explanation:

The sides of a square are equal , so

4x - 7 = 3x + 5 ( subtract 3x from both sides )

x - 7 = 5 ( add 7 to both sides )

x = 12

Then

length of side s is

s = 4x - 7 = 4(12) - 7 = 48 - 7 = 41

what is the value of x

Answers

Answer: 24(option A) is the answer

exterior angle = 360/n

so, n = 15

then, 360/15 = 24

Add.
(3x2 – 2x) + (4x-3)
O A. 7x2- 5x
O B. 12x3 - 14x2 + 6x
O C. 3x2 - 6x + 3
O D. 3x2 + 2x-3

Answers

Answer:

O D. 3x2 + 2x-3

Answer:

A.7x2-5x questions 2of 20

Can u please solve this

Answers

Answer:

522.5in^3

Step-by-step explanation:

4/3 ×3.14×5^3

4/3×3.14×125

1.33×3.14×125

4.18×125

522.5

Step-by-step explanation:

[tex]v = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times 3 \times {5}^{3} \\ = 4 \times 125 \\ = 500 {in}^{3} \\ thank \: you[/tex]

Verify the identity.

[tex]cot (x-\frac{\pi }{2})=-tan[/tex]

Answers

Answer:

True

Step-by-step explanation:

assuming that you meant to write

cot (x-π//2) = - tan x

the identity is TRUE because,

- you can graph cot (x-π//2)  and  - tan x, and see that the graphs overlap

OR

-you solve for cot (x-π/2)

useful to know is that :

cot x=1/tan x, tan x = sin x/cos x,  

cos(x) =cos(-x), sin(-x) = -sin x,

cos(π/2 -x) =sin x, sin (π/2-x) =cos x

cot (x-π/2) = 1/tan (x-π/2) , yet tangent is sin x/cos x

cot (x-π/2) = cos (x-π/2) /sin (x-π/2) , factor -1

cot (x-π/2) = cos -(π/2-x) /sin -(π/2-x),  use facts: cos(x) =cos(-x), sin(-x) = -sin x

cot (x-π/2) = cos (π/2-x) / -sin (π/2-x), use cos(π/2 -x) =sin x, sin (π/2-x) =cos x

cot (x-π/2) = sin x / -cos x , again sin x /cos x = tan x

cot (x-π/2) = -tan x

I will mark as the brillianest plzzzzzzzzzzzzzzzzzzzz be helpful to me ......
c) If C.P. = Rs 750, loss percent = 8% find S.P.​

Answers

Answer: SP is Rs 690

Step-by-step explanation:

CP= Rs 750

loss percent = 8%

so

loss = 8% of CP

= 8/100 * 750

= Rs 60

Loss = Rs 60

so

SP = Rs 750-60

= Rs 690

Answer:

here,

CP=750

loss%=8%

now,

SP= (100-L)×cp/100

= (100-8)×750/100

= (92×750)/100

= 69000/100

= 690

hence the SP of the article is Rs 690

any problem then comment it

hope this helped you ☺️

Krista invested money in the stock of a foreign company. Lately, the government of the country where the company is based introduced new tax laws and fiscal policies. What type of risk does Krista face as an investor?

Answers

Answer: legislative risk

Step-by-step explanation:

Legislative risk refers to a form of risk whereby there's likelihood of a business making a loss on an investment due to governmental action.

Legislative risk implies an amendment or an abolition of laws which has a direct impact on investments. Regarding the question, the introduction of the new tax laws and fiscal policies is a legislative risk.

Answer:

c

Step-by-step explanation:

Help anyone can help me do the question,I will mark brainlest.​

Answers

Answer:

a) 30

b)600pi

Step-by-step explanation:

For the first questions, since the arc is 240°, the area of the sector and circumference will be 240/360 or 2/3 of the total of the circles'. Therefore 125.6 x 3/2 is the circumference, which is 188.4. When we divide this by 6.28, we get 30

Now, since the area is pi r^2 where we know that r=30, we get 900pi as the area of the whole thing, however since the sector is 2/3 of the whole circle, 2/3 x 900pi = 600pi

What is the initial value of the sequence?
1
2
3
8

Answers

Answer:

2

Step-by-step explanation:

The initial value is the y value of the first term shown ( when x=1)

y = 2 when x=1

The initial value is 2

Answer:

What is the initial value of the sequence?

1 2 <<<CORRECT 3 8

Step-by-step explanation:

Edge 2021

HELP!!!!!! so many points for this one!!!!!! x^2+y^2+4x-2y=-1
The equation of a circle in the xy-plane is shown above. What is the radius of the circle

A.2
B.3
C.4
D.9

Answers

Answer:

A. 2

Step-by-step explanation:

Given circle:

x² + y² + 4x - 2y = -1

Convert the equation into the standard form of (x - k)² + (y - h)² = r²:

x² + 4x + 4 + y² - 2y + 1 = -1 + 4 + 1(x + 2)² + (y - 1)² = 2²

As per above:

r = 2

Correct choice is A

A.2

Answer:

Solution given:

equation of a circle is:

x²+y²+4x-2y=-1

x²+y²+4x-2y+1=0

Comparing above equation with

ax²+by²+2gx+2fy+c=0

we get

a=1

b=1

g=2

f=-1

c=1

now

radius of a circle (r)=[tex]\sqrt{g²+f²-c}[/tex]

substituting value

r=[tex]\sqrt{2²+(-1)²-1}=2[/tex]

therefore radius of a circle is 2 units


question 1…. help please

Answers

Answer: The number = 3 /4 or 4 / 3

Concept:

Here, we need to know the idea of a reciprocal.

Reciprocal is also called the multiplicative inverse.  It is similar to turning the number upside down which is found by interchanging the numerator and denominator.

Number ⇒ Reciprocal = 1 / Number

Solve:

STEP ONE: Set up the equation

Let x = the number

Let 1 / x = the reciprocal

x + 1 / x = 25 / 12

STEP TWO: Multiply x on both sides

(x + 1 / x) · x = (25 / 12) · x

x² + 1 = 25x / 12

STEP THREE: Multiply 12 on both sides

(x² + 1) × 12 = (25x / 12) × 12

12x² + 12 = 25x

STEP FOUR: Subtract 25x on both sides

12x² + 12 - 25x = 25x - 25x

12x² - 25x + 12 = 0

STEP FIVE: Solve for the quadratic equation

(3x - 4) (4x - 3) = 0 ⇔ (Factorization of the equation)

(x - 4 / 3) (x - 3 / 4) = 0

x = 4 / 3 or x = 3 / 4

Hope this helps!! :)

Please let me know if you have any questions

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