If you want to make 2 1/2 Batches of cookies and you need one and 1 2/3 cups of flour per cookie batch how much flower do you need

Answer:

0,1 is greater because...

Answer:0,1

Step-by-step explanation:

Answer:

So she need [tex]\frac{5}{36}\ cups[/tex] more to put in.

Step-by-step explanation:

Given:

Recipe for cookies calls for 3 1/4 cups of sugar.

Amy has already put three and one nine cups.

Now, to find the number of cups she need to put in.

Number of cups of sugar for recipe calls = [tex]3\frac{1}{4} =\frac{13}{4}\ cups.[/tex]

Amy has already put = [tex]3\frac{1}{9} =\frac{28}{9}\ cups.[/tex]

So, to get the number of cups she need to put in we subtract number of cups of sugar for recipe calls from number of cups of sugar for recipe calls:

[tex]\frac{13}{4} -\frac{28}{9}[/tex]

Subtracting by taking the same denominator:

[tex]=\frac{117-112}{36}[/tex]

[tex]=\frac{5}{36}[/tex]

Therefore, so she need [tex]\frac{5}{36}\ cups[/tex] more to put in.

The factors of given expression are: -5 and 3/4

Step-by-step explanation:

Given equation is:

[tex]4x^2+17x-15[/tex]

Making pairs for the mid-term 17x by factoring the product of co-efficient of 4x^2 and 15

[tex]4x^2+20x-3x-15[/tex]

[tex]= 4x(x+5) - 3(x+5)[/tex]

[tex]=(4x-3)(x+5)[/tex]

Now

[tex]4x-3 = 0\\4x = 3\\x = \frac{3}{4}[/tex]

[tex]x+5 = 0\\x = -5[/tex]

Hence,

The factors of given expression are: -5 and 3/4

Keywords: Quadratic equation, factors

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The complete question is:

A geometric sequence is defined recursively by

    [tex]a_{(1)}=40\text{ and }a_n=(-1/2)a_{(n-1)}[/tex]

(a) Write out the first four terms of this sequence.

(b) Is the 9th term of this sequence larger or smaller than 1/10? Show the calculation that you use to determine your answer.

Answer:

Explanation:

You are given the first term,    [tex]a_(1)=40[/tex] , and the recursive formula

   [tex]a_{(n)}=(-1/2)a_{(n-1}[/tex]

Thus, you can find the sequence of terms by multiplying each term by the constant ratio, (-1/2).

(a) First four terms of the sequence

[tex]a_{(1)}=40\\ \\ a_{(2)}=40\times (-1/2)=-20\\ \\ a_{(3)}=-20\times (-1/2)=10\\\\ a_{(4)}=10\times (-1/2)=-5[/tex]

Those are the first four terms.

(b) 9th term

You can write the explicit formula of the sequence as:

[tex]a_{(n)}=a_{(1)}\times r^{(n-1)}\\ \\ a_{(n)}=40(-1/2)^{(n-1)}[/tex]

Thus, for the 9th term, n = 9, and the term is:

[tex]a_{(9)}=40\times (-1/2)^{(9-1)}\\ \\ a_{(9)}=40\times(-1/2)^8\\ \\ a_{(9)}=40\times(1/256)=0.1526[/tex]

Since 1/10 = 0.1, and 0.1 < 0.1526, the 9th term is larger than 1/10.

Answer:

[tex]AB=\sqrt{3}\ in[/tex]

Step-by-step explanation:

The correct question is

The diagonal of rectangle ABCD measures 2 inches in length.

What is the length of line segment AB?

The picture of the question in the attached figure

we know that

In the right triangle ABD

[tex]cos(30^o)=\frac{AB}{BD}[/tex] ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

[tex]cos(30^o)=\frac{AB}{2}[/tex]

Remember that

[tex]cos(30^o)=\frac{\sqrt{3}}{2}[/tex]

so

[tex]\frac{AB}{2}=\frac{\sqrt{3}}{2}[/tex]

[tex]AB=\sqrt{3}\ in[/tex]

Answer:

B

Step-by-step explanation:

the answer is B on edge.

Answer:

80

Step-by-step explanation:

50*2= b  b/2=40 40+10=50

Answer: 20 pencils and 80 cards

Step-by-step explanation:

The calculated coordinates of the point F is (-1, 5)

How to determine the coordinates of F

From the question, we have the following parameters that can be used in our computation:

D(2,3),E(-5,2),G(6,6)

We have that

The quadrilateral DEFG is a parallelogram

This means that the opposite sides have equal slopes

i.e.

Slope of DE = Slope of FG

Using slope formula, we have

(3 - 2)/(2 + 5) = (y - 6)/(x - 6)

This gives

1/7 = (y - 6)/(x - 6)

Cross multiply

x - 6 = 7y - 42

x = 7y - 36

Set y = 5

So, we have

x = 7 * 5 - 36

x = -1

So, we have

(x, y) = (-1, 5)

Hence, the coordinates of the point F is (-1, 5)

Question

Consider the parallogram DEFG with three vertices D(2,3),E(-5,2),G(6,6). Find the coordinates of F.

Final answer:

To find the coordinates of vertex F in the parallelogram DEFG with given vertices D(2,3), E(-5,2), and G(6,6), we can use vector subtraction to deduce that the coordinates of F are (-1, 5).

Explanation:

The question requires us to find the coordinates of vertex F of the quadrilateral DEFG given that we have the coordinates of vertices D(2,3), E(-5,2), and G(6,6). Assuming that DEFG is a parallelogram (as the question implies a symmetry-based approach though it doesn't specify), we can find F using the properties of parallelograms, which dictate that opposite sides are equal and parallel. The vector from D to E is ∂D = (-5 - 2, 2 - 3) = (-7, -1), and the vector from G to F (let's call it F's coordinates (x, y)) would be equivalent, as they are opposite sides. So, G + ∂D = F. Substituting G's values, we get (6 - 7, 6 -1), which simplifies to (-1, 5). Thus, the coordinates of F are (-1, 5).

Answer:

It is NOT possible for a solution to be both x<9 and x>9

It IS possible for a solution to be both x≤9 and x≥9

Step-by-step explanation:

Because for x<9 and x>9 the GREATER than symbol means it less than 9 and cannot be 9 or it is greater than 9 but cannot be 9.

With x≤9 and x≥9 the greater than or EQUAL sign makes a big difference. Because x≥9 may be the actual solution but since it is possible to be  equal to 9 so can x≤9.

(Sorry if this seemed very confusing to explain).

the graphs picture is not provided (incomplete question. explanation:

Answer:bar graphs and pie charts

Step-by-step explanation:

edge 2021

Answer:

1/2

Step-by-step explanation:

The y-intercept is [tex]\frac{1}{2}[/tex].

Given that f(x) = 4x-2.

To find the inverse function:

1) Write f(x) = y

2) Switch x and y.

3) Solve for y.

4) Write [tex]y=f^{-1}\left(x\right)[/tex].

So,

[tex]f(x) = 4x - 2\\y=4x-2\\x=4y-2\\4y=x+2\\y=\frac{\left(x+2\right)}{4}\\y=\frac{1}{4}x+\frac{2}{4}\\y=\frac{1}{4}x+\frac{1}{2}\\f^{-1}\left(x\right)=\frac{1}{4}x+\frac{1}{2}[/tex]

Comparing this with y=mx+b,

b = y-intercept = [tex]\frac{1}{2}[/tex]

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Option B

The factored form by grouping is:

[tex]xy+2y^2+3x+6y = (x+2y)(y+3)[/tex]

Solution:

Given that we have to factor the given polynomial by grouping

Given polynomial is:

[tex]xy+2y^2+3x+6y[/tex]

Factoring by grouping means that you will group terms with common factors before factoring.

This is done by grouping a pair of terms. Then factor each pair of two terms

In the given polynomial, group the terms that has "x" as common and group the terms that has "y" as common

[tex](xy+3x)+(2y^2+6y)[/tex]

Factor out "x" from first group and factor out "2y" from second group

[tex]x(3+y)+2y(y+3)[/tex]

Factor out y + 3

[tex]x(3+y)+2y(y+3) = (x+2y)(y+3)[/tex]

Thus the factored form by grouping is:

[tex]xy+2y^2+3x+6y = (x+2y)(y+3)[/tex]

Answer:

36

Step-by-step explanation:

If you see this kind of problem do this two steps:

1. Multiply the numerator and the multiplier.

2. Divide the result with the denominator.

[tex]\frac{3}{10}[/tex] × 120

3 × 120 = 360 (STEP 1)

360 ÷ 10 = 36 (STEP 2)

Answer:

36

Step-by-step explanation:

See the graph below

We need to remember the following rules:

[tex]For \ any \ function \ f(x) \ we have: \\ \\ \\ \bullet \ g(x)=f(x-k) \ Translation \ k \ units \ to \ the \ right \\ \\ \bullet \ g(x)=f(x+k) \ Translation \ k \ units \ to \ the \ left \\ \\ \bullet \ g(x)=f(x)+c \ Translation \ c \ units \ up \\ \\ \bullet \ g(x)=f(x)-c \ Translation \ c \ units \ down \\ \\ With \ c>0 \ and \ k>0[/tex]

Here we know that The function y = log (x) is translated 1 unit right and 2 units down, so:

[tex]k=1 \\ \\ c=2 \\ \\ \\ Finally: \\ \\ g(x)=log(x-1)-2[/tex]

Below you can see the graph. The red one is the original function while the blue one is the translated one.

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Answer:

B

Step-by-step explanation:

Took test on edge

Answer:

  480

Step-by-step explanation:

Let h represent the number of high-quality downloads. Then the total download size is ...

  4.1h +2.7(1130-h) = 3723

  1.4h = 672 . . . . . . . . . . . . . . subtract 2.7·1130 = 3051

  h = 480 . . . . . . . divide by 1.4

There were 480 downloads of the high-quality version.

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Answer:

-1/3

Step-by-step explanation:

it goes down one and over three

Answer: your slope would be -[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

6 times 4 equals 24

24 minus 12 equals 12

12 divided by 3 equals 4

4 minus 8 equals -4

(btw i did this in the order from the question and not BIDMAS )

Answer:

2.339×10^3

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

2.339×10^3

Answer:

53/50

Step-by-step explanation:

The ratio of males to females is 53:50.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Number of baby boys = 106

Number of baby girls = 100

So, the ratio of males to females

= 106/100

= 53/50

Hence, the ratio of males to females is 53:50.

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Answer:

Step-by-step explanation:

A = 3/4B

A = 72.75

3/4B = 72.75

B = 72.75 * 4/3

B = 291/3 = 97

you would save (97 - 72.75) = $ 24.25 when buying them at store A

By calculating the original price of the headphones at Store B and subtracting the price at Store A, we find that you would save $24.25 by purchasing the headphones at Store A.

To find out how much you save by buying the headphones at Store A, we need to determine the original price of the headphones at Store B.

Let's denote the price at Store B as P. According to the information given, the price at Store A is 3/4 of the price at Store B. We can write the following equation:

P × (3/4) = $72.75

Solving for P, we get:

P = $72.75 ÷ (3/4)
  P = $72.75 ÷ 0.75
  P = $97.00

Therefore, the price of the headphones at Store B is $97.00. To find the savings, subtract the price at Store A from the price at Store B:

Savings = Price at Store B - Price at Store A
  Savings = $97.00 - $72.75
  Savings = $24.25

By buying the headphones at Store A, you save $24.25.

Answer:

B. right

Step-by-step explanation:

In the bottom left corner there is a square. The square represents a 90 degree angle. A 90 degree angle is named a right angle.

Answer: 8/5 or 1 ⅗ acres

Step-by-step explanation:

Answer:

π = a/(r²) = a÷(r²)

Answer:

pie is equal to the square root of A divided by r

Step-by-step explanation:

Set the equation first...a=pie times r squared. Then u need to get rid of everything to make pie by itself. U square both sides or all the equation. the square cancels out and on the other side, it will be the square root of a. Next, divide by r on each sides. The r cancels out. Then it's gonna be pie =the square root of a all over r. It can't be a/r square because in the original...pie is being multiplied by r which is squared so that means both variables are squared. U cant find pie if the square is stopping it so u square for the very first step

Answer:

(0, 0)

Step-by-step explanation:

You can see immediately that the line AB passes through (0, 0) (the origin) and that points A and B are equidistant from the origin.  In other words, (0, 0) is the midpoint of line AB.

Answer:

Step-by-step explanation:

Since you know the value of n = 3, plug in 3 for n in the equation

4(n + 1)

4(3 + 1)      

4(4)

= 16

Answer:

B. SSS

Step-by-step explanation:

All of the sides are the same

SSS postulate proves that the two triangles are congruent.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

Given:

From the figure we have two triangles named as FED and CBA

Now, In triangles FED and CBA

FE = AC

ED = BA

FD = BC

So, by SSS Congruency Criteria triangles FED and CBA are Congruent.

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The solution of given inequality is: [tex]x>-3[/tex]

Solution:

Given inequality is:

[tex]7(x+1)>-14[/tex]

We have to find the value of "x"

Let us solve the given inequality

Divide both sides of inequality by 7

[tex]\frac{7\left(x+1\right)}{7}>\frac{-14}{7}\\[/tex]

Simplify the above expression

[tex](x+1)>-2[/tex]

[tex]x+1>-2[/tex]

[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides\: of\: inequality}[/tex]

[tex]x+1-1>-2-1\\\\x>-3[/tex]

Thus the value of x is [tex]x>-3[/tex]

Answer:

[tex]z=12[/tex]

Step-by-step explanation:

The lines a and b intersect at point D. Angles with measures [tex](5z+8)^{\circ}[/tex] and [tex](4z+20)^{\circ}[/tex] are vertical angles.

Vertical angles theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent.

Congruent angles have equal measures.

Hence,

[tex]5z+8=4z+20\\ \\5z-4z=20-8\\ \\z=12[/tex]

Answer:

12

Step-by-step explanation:

Answer:

11.5

Step-by-step explanation:

(11+12)/2=11.5