For each situation, find the unit rates.
1.
A cheesecake recipe says, “Mix 12 oz of cream cheese with 15 oz of sugar."
a.
How many ounces of cream cheese are there for every ounce of sugar?
b.
How many ounces of sugar is that for every ounce of cream cheese?

Answer: 2nd one because the amount of cars is either less than 7 or equal to

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Let s(t) represent the amount of salt in the tank at time t. Therefore:

ds / dt = (rate of salt flowing into the tank) - (rate of salt going out of the tank)

[tex]\frac{ds}{dt}=[(0.08\ kg/L*6\ L/min)+(0.09\ kg/L*5\ L/min)]-(\frac{s\ kg}{1000\ L}*11\ L/min ) \\\\\frac{ds}{dt}=(0.48\ kg/min+0.45\ kg/min)-(\frac{11s}{1000}\ kg/min )\\\\\frac{ds}{dt}=0.93\ kg/min-\frac{11s}{1000}\ kg/min \\\\\frac{ds}{dt}=\frac{930-11s}{1000}\ kg/min \\\\\frac{ds}{930-11s}=\frac{1}{1000}dt\\\\Integrating:\\\\\int\limits { \frac{ds}{930-11s}} \, ds=\int\limits {\frac{1}{1000}} \, dt\\\\-\frac{1}{11}ln(930-11s)=\frac{t}{1000}+C\\\\multiply\ through\ by\ -11:[/tex]

[tex]ln(930-11s)= - \frac{11t}{1000}+A\\\\Take \ exponential:\\\\930-11s=e^{ - \frac{11t}{1000}+A}\\\\930-11s=C_1e^{ - \frac{11t}{1000}}\\\\11s=930-C_1e^{ - \frac{11t}{1000}}\\\\s=\frac{930-C_1e^{ - \frac{11t}{1000}}}{11} \\\\To \ find\ C_1,s(0)=0.Hence:\\\\0=\frac{930-C_1e^{ - \frac{11(0)}{1000}}}{11} \\\\0=930-C_1\\\\C_1=930\\\\s(t)=\frac{930-930e^{ - \frac{11t}{1000}}}{11} \\\\s(t)=930(\frac{1-e^{ - \frac{11t}{1000}}}{11})[/tex]

A) So, the required value is [tex]1.01-\frac{11S}{1000}[/tex].

B) The required value is [tex]\frac{1010}{11} (1-e^{-11/1000t} )[/tex]

A differential equation is an equation that contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable).

                                                    [tex]\frac{dy}{dx} =f(x)[/tex]

(A) Let [tex]S(t)[/tex] denotes the number of kg of the salt in the tank at the time [tex]t[/tex] minutes.

Then,

[tex]\frac{ds}{dt}=[/tex](rate of salt in to tank)-(rate of salt of tank)

[tex]\frac{ds}{dt}=\left ( 0.08\times 0.09\times 5 \right )-\left ( \frac{s\left (t\right )}{1000}\times 11 \right ) \\ \therefore \frac{ds}{dt}=1.01-\frac{11S}{1000}[/tex]

(B)

[tex]\frac{ds}{dt}=\frac{101}{100}-\frac{11S}{1000} \\ \Rightarrow \frac{ds}{dt}=\frac{1010-11S}{1000} \\ \Rightarrow \frac{ds}{1010-11S}=\frac{dt}{1000}[/tex]

Integrating we get,

[tex]-\frac{1}{11}I_n|1010-11S|=\frac{t}{1000}+In \ C_1 \\ \Rightarrow 1010-11S=C_1e^{-11/1000t} \\ S(t)=\frac{1010-C_1e^{-11/1000t}}{11}[/tex]

Initially, [tex]S(0)=0\\\Rightarrow C_1=1010[/tex]

Then the required solution is,

[tex]\therefore S(t)=\frac{1010}{11} (1-e^{-11/1000t} )[/tex]

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Answer:

im not sure sorry try asking an addalt

Step-by-step explanation:

nu4

Answer:

$194.54!!

Step-by-step explanation:

Answer:

65.18

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

These angles are vertical each other, another way of saying they are opposite each other in an X. Since these angles are vertical, they are equal!

60 = 5x - 10 | Given, from here on is basic algebra

70 = 5x | Add 10 to both sides

14 = x | Divide both sides by 5

Answer:

250

Step-by-step explanation:

52%-> 130

100%-> 250

Answer:

15% off

Step-by-step explanation:

Answer:

i need help go to my question from this brainly.com/question/25995862

Step-by-step explanation:

Answer:

24.23 ; 13.47 ; 0.782 ; p value < 0.00001 ;7.45

Step-by-step explanation:

Given that :

ΣX = 3,416, ΣY = 1,899, SDX = 8.84, SDY = 4.70, ΣZXZY = 109.416

Sample size, N = 141

Mean of X:

£X / N = 3416 / 141 = 24.23

Mean of Y:

£Y / N = 1899 / 141 = 13.47

B.) Correlation between the 2 variables :

£ZXZY / N - 1

= 109.416 / 140

= 0.782

C.)

Level of significance and p value :

T = [Rsqrt(n-2)] ÷ sqrt(1 - R²)

T = [0.782 * sqrt(139)] ÷ sqrt(1-0.782^2)

T = 14.79

P value from Tscore calculator

Df = 141 - 2 = 139 ; α = 0.05

Pvalue = 0.00001

Pvalue < α ; Hence, a significant positive relationship exists.

To obtain regression model :

Slope = £ZXZY / SDX²

m = 109.416 / 8.84^2 = 1. 4

yintercept = meanY - slope*x

yintercept = 13.47 - 1.4*24.3

yintercept = - 20.55

Equation in slope intercept form:

y = mx + c

y = 1.4x - 20.55

For x = 20

y = 1.4(20) - 20.55

y = 7.45

Answer:

y≥-1/3+2

y≥2/3-2

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

20/125 = 0.16

0.16 x 100 = 16% (multiply by 100 to get a percentage)

Answer: 13, remainder : 3

Step-by-step explanation:

The quotient and remainder of 55 divided by 4 are 13 and 3 respectively.

We have to given that,

To find the quotient and remainder of 55 divided by 4.

We can divide it,

⇒ 55 ÷ 4

4 ) 55 ( 13

  - 4

 -------

    15

  - 12

 ---------

       3

Hence, We get;

After divide,

Quotient = 13

Remainder = 3

Therefore, the quotient and remainder of 55 divided by 4 are 13 and 3 respectively.

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Answer:

n=1.29

Step-by-step explanation:

Is there more options?

≻───── ⋆✩⋆ ─────≺

Answer:

[tex]5.16 = 4n[/tex]

[tex]\frac{5.16}{4} = \frac{4n}{4}[/tex]

[tex]n=1.29[/tex]

Hope this helps!

-Fishylikeswater

Answer:

the answer is B

Step-by-step explanation:

expanding the brackets makes this:

-63g – 36 + 14g² + 8g

simplifying it more makes this:

14g²–55g–36

hope that helped:)

Answer:

5 g + 13

Step-by-step explanation:

Answer:

18.081

Step-by-step explanation:

I'm pretty sure it's this.

Answer:

y = -4x - 1

Step-by-step explanation:

Parallel lines have same slope

y = -4x + 1    {Compare y = mx + b; m ->slope; b - y-intercept}

m = -4 ; (-2 ,7)

y - y1 = m(x - x1)

y - 7 = -4(x - [-2])

y -7 = -4(x + 2)

y -7 =x *(-4) + 2*(-4)

y -7 = -4x - 8

    y = -4x - 8 + 7

   y = -4x - 1

Answer:

212272.71

Step-by-step explanation:

we have the following equation (for interesting that compound yearly)

PV(1+i)^n

200000(1+.015)^4

212272.71

The total amount of interest Katy will get at the end of 4 years is £12,272.71

The steps are as follow:

p = £200 000

r = 1.5%

n = 4 years

A = p(1+r/100)ⁿ

A = 200000(1+1.5/100)⁴

A = 212,272.71 £

C.I. = A - p

C.I. = 212,272.71 - 200,000

C.I. = £12,272.71

So the  total amount of interest Katy will get at the end of 4 years is £12,272.71

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Answer:

B

Step-by-step explanation:

answer is

[tex] \frac{12}{28} [/tex]

Answer:

Step-by-step explanation:

0.1×0.1 = 0.01

0.1×2 = 0.2

0.3×0.04 = 0.012

1.2×0.12 = 0.144

Answer:

64 cubic inches

Step-by-step explanation:

i think...

8×½=4

4×4×4 (cubed is lengtg×width×height)

64 cubic inches

Answer:

8

Step-by-step explanation:

Answer:

A) Width = 8 B) 72 ft^2

Step-by-step explanation:

1. Find the SF. 36/9 = 4/1

2. Use the SF to find the width. Make the width x.

4/1 = 32/x

3. Cross multiply

4x=32

5. Solve for x.

x = 8

B) Multiply 8 and 9 to get 72. Remember it's squared.

Answer:

27

Step-by-step explanation:

The formula for the volume of a cube is given as [tex]V=s^{3}[/tex]. if s=3in, then V=27inches cubed.

[tex]2c^2-14c+20=0 \\ c^2-7c+10=0 \\ (c-2)(c-5)=0 \\ c_1=2,c_2=5[/tex].

Answer:

(13 + y) / 5

Step-by-step explanation:

Grandma Gertrude gave 13 pieces and Grandma Fien gave y pieces. The total number of pieces of jewelry can be expressed as 13 + y.

The total of 13 + y is divided among 5 Carlson sisters. This can be expressed by (13 + y) / 5.

Hope this helps!

Answer: 2

Step-by-step explanation:

as H=20 and W=10

So H=constant.(W)

H=2(10)

H=20

So constant is 2