A cookie recipe requires 2.5 cups of sugar for every 10 cups of flour. If a
baker makes enough cookies to use 16 cups of sugar, how many cups
of flour would be used?







HELP FAST THIS IS A TEST AND ITS ABOUT TO END SOOOONNNNN

Answer:

1. 1 Burrito Platter = $58.50 , 1 Taco platter = $12.50

2. One pair of boots = $20 , One pair of shoes = $6

Step-by-step explanation:

1. Let the cost of one burrito platter be x and one taco platter be y.

4x + 2y = 259 --- Equation 1

4x + 4y = 284 --- Equation 2

Equations 2-1: 4x + 4y - 4x - 2y = 284 - 259

2y = 25

y = 25 ÷ 2

y = 12.50 (Taco platter)

Substitute y = 12.50 into Equation 1:

4x + 2y = 259

4x + 2(12.50) = 259

4x + 25 = 259

4x = 259 - 25

    = 234

x = 234 ÷ 4

x = 58.50 (Burrito platter)

2. Let the cost of one pair of boots be x and one pair of shoes be y.

7x + 8y = 188 --- Equation 1

6x + 8y = 168 --- Equation 2

Equations 1-2: 7x + 8y - 6x - 8y = 188 - 168

x = 20 (Boots)

Substitute x = 20 into Equation 2:

6x + 8y = 168

6(20) + 8y = 168

120 + 8y = 168

8y = 168 - 120

    = 48

y = 48 ÷ 8

y = 6 (Shoes)

Answer:

20 questions were on the test

Step-by-step explanation:

it would be 0 as its a 0 slope, hence forth the parallel line would also be 0!

Answer:

third option

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

[tex]\frac{1}{4}[/tex] [tex](2)^{k-1}[/tex] ← is in this form

with a₁ = [tex]\frac{1}{4}[/tex] and r = 2

Answer:

Profit of 532

Step-by-step explanation:

Since the SP is more than the CP then there is a profit

profit = SP - CP = 832 - 300 = 532

Answer:

1 I think.

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Given Equation

(3 + 6)2 + ((17 + 8) - 42)

We will simplify to get the answer.

[tex]= (9)[/tex] × [tex](2) + 17 + 8 - 42[/tex]

= [tex]18+17+8-42[/tex]

= [tex]18 + 25 - 42[/tex]

= [tex]18 + -17[/tex]

= 1

The answer to the question is 1.

Answer:

$766.28

Step-by-step explanation:

The equation for interest rate is as follows:

[tex]A = P(1 + r)^t\\[/tex]

A = The total amount

P = Initial amount

R = The interest rate

T = Time

Let's plug everything into the equation that is given in the question:

The initial amount = 612

Interest rate = 2.85

Time = 8 years

[tex]A = 612(1+.0285)^8[/tex]

***Just a reminder we move the decimal over twice when working with percents***

Now, lets solve for the total amount:

[tex]A = 612(1.0285)^8\\A = 612(1.252086602)\\A = 766.28[/tex]

Therefore, after 8 years the principal is $766.28.

I hope this helps!!

If you have any questions feel free to ask!

- Kay :)

Answer:

with what......

Step-by-step explanation:

..........

Answer:

with what?

Step-by-step explanation:

what what what

Answer: x

=

7

y

z

+

1

2

y

+

−

1

4

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The 2-point form of the equation of a line is useful for these problems. It is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

__

a) The two points are (0, 255) and (9, 480). The equation is ...

  y = (480 -255)/(9 -0)(x -0) +255

  y = 25x +255

__

b) The two points are (0, 450), (9, 90). The equation is ...

  y = (90 -450)/(9 -0)(x -0) +450

  y = -40x +450

__

c) The point where both populations are the same is (3, 330).

__

d) The second population will be eliminated after 11 1/4 seasons.

Answer:

[tex]\boxed{x = -7~~and~~ y =-7}[/tex]

Step-by-step explanation:

y = 3x + 14

y = x

.

x = 3x + 14

3x - x = -14

2x = -14

[tex]x = \frac{-14}{2}[/tex]

x = -7

.

y = x

y = -7

Answer:

x = 7 and y = -7

Step-by-step explanation:

use substitution method

Answer:

$48

Step-by-step explanation:

Given that:

Money spent on clothing last month = $40

Money spent this month is 120% of the spending of the last month.

To find:

A proportion to model this situation.

And the spending done this month?

Solution:

Let us have a look at 120% first.

[tex]120\%= \dfrac{120}{100} = \dfrac{6}{5}[/tex]

[tex]\frac{6}{5}[/tex] of [tex]x[/tex] can be found by comparing [tex]x[/tex] with 5, then we have to find the equivalent of 6.

Here, [tex]x[/tex] is 40.

5 parts are equivalent to 40

1 part is equivalent to [tex]\frac{40}{5} = 8[/tex]

6 parts are equivalent to [tex]8\times 6 = 48[/tex]

OR

simply:

[tex]40 \times \dfrac{120}{100} = 48[/tex]

Answer:

Step-by-step explanation:

BF = 24

BH = ?

BH = 2/3 BF

BH = 2/3 24

BH = 16

Answer:

16

Step-by-step explanation:

Answer:

Step-by-step explanation:

the absolute value of 18 is 18 because absolute value is the distance from zero. the calculate value of -10 is 10. 18-10=8

|18| - |-10| =

18 - 10 = 8

Answer:

Length of shorter leg is 8 inches

Step-by-step explanation:

Here, we want to calculate the length of the shorter leg of a 30-60-90 triangle

In a 30-60-90 triangle, the sides are in the ratio;

1: √3 : 2

So the ratio of the length of the shorter and longer leg is;

1 : √3

So in this case let the shorter leg be x

x/8 √3 = 1/√3

8 √3 * 1 = √3 * x

x = 8 √3/√3

x = 8 inches

Answer:

All possible ordered pairs are as follows:

Step-by-step explanation:

In an ordered pair (x, y),

Let

P = {x, y}

X = {1, 2, 3}

So, the number of possible ordered pairs = 2 × 3 = 6

Therefore, all possible ordered pairs are as follows:

Answer:

(15,-30)

Step-by-step explanation:

By forming a proportional relationship with the marked point, what we are saying is that the same dilation if applied to each coordinates of the marked point will form the new point

The marked point is given as (-20,40)

If we dilate this by -0.75 units

That will give (15, -30)

So this forms a proportional relationship with the marked point

Answer:

Step-by-step explanation:

Using synthetic division, the zeros goes into the box, which would be -1

-1  |  1  -3  -1  24

           -1   4   -3

       1  -4   3   21

The remainder is 21

Answer:

hello the geinus has arrived

Answer:

456 students

Step-by-step explanation:

In order to find 95% of the 480 students, you can set up the equation below:

[tex]\frac{students}{total} = \frac{percent}{100percent}[/tex]

[tex]\frac{x}{480students} =\frac{95percent}{100 percent}[/tex]

x * 100 = 480 * 95

x = 45600 / 100 = 456

95% of 480 students is 456 students.

Answer:

Speed is 12.8km/sec. Jupiter will travel 192km in 15 sec.

Step-by-step explanation:

[tex]\frac{8mi}{1sec} * \frac{1.6km}{1mi} = 12.8km/sec[/tex]

[tex]\frac{12.8km}{1sec} * 15sec = 192km[/tex]

Answer:

C

Step-by-step explanation:

Looking at the graph, we can see the roots at two points

these are points x = 4 and x = 5

This can be written in their linear forms as;

x-4 and x-5

Finding the products of both, we have

x(x-5) -4(x-5)

= x^2 -5x -4x + 20

= x^2 - 9x + 20

Answer:

ok

Step-by-step explanation:

Answer:

42 sea otters per mi2

Answer:

She drove 4 minutes

Step-by-step explanation:

If you know about the power rule,

d/dw (2w² + 1) = 2 d/dw (w²) = 2 • 2w = 4w

If you have to use the limit definition of the derivative, let f(w) = 2w² + 1. Then

[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{f(w+h)-f(w)}h[/tex]

[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{(2(w+h)^2+1)-(2w^2+1)}h[/tex]

[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{2(w^2+2wh+h^2)-2w^2}h[/tex]

[tex]f'(w)=\displaystyle\lim_{h\to0}\frac{4wh+2h^2}h[/tex]

[tex]f'(w)=\displaystyle\lim_{h\to0}(4w+2h)=\boxed{4w}[/tex]

Answer:

Step-by-step explanation:

Given:

MO bisects ∠KMN and LO bisects ∠KLN

To prove:

LK ≅ LN

             Statements                                                   Reasons

1). MO bisects ∠KMN                               1). Given

2). LO bisects ∠KLN                                2). Given

3). ∠KLM ≅ ∠NLM                                    3). Definition of angle bisector

4). ∠KMO ≅∠NMO                                   4). Definition of angle bisector

5). ∠KMO + ∠KML = 180°                         5). Linear pair postulate

6). ∠NMO + ∠NML = 180°                        6). Linear pair postulate

7). ∠KMO + ∠KML = ∠NMO + ∠NML       7). Transitive property of equality

8). ∠KMO + ∠KML = ∠KMO + ∠NML       8). Substitution property

9). ∠KML = ∠NML                                     9). Subtraction property of equaity

10).  LM ≅ LM                                           10). Reflexive property

11). ΔLKM ≅ ΔLNM                                   11). ASA property of congruence

12). LK ≅ LN                                              12). CPCTC