A tablespoon is equivalent to about 4 teaspoons. A recipe calls for 2/3 cup of sugar for every 1/2 teaspoon vanilla. What is the unit rate in tablespoons
per cup?

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

(a)

3 × a × 2 × b

= 3 × 2 × a × b

= 6ab

(b)

[tex]c^{5}[/tex] × c

= [tex]c^{(5+1)}[/tex]

= [tex]c^{6}[/tex]

(c)

2[tex]y^{4}[/tex] × 5y³

= 2 × 5 × [tex]y^{4}[/tex] × y³

= 10 × [tex]y^{(4+3)}[/tex]

=10[tex]y^{7}[/tex]

(d)

3gh² × 4g³h³

= 3 × 4 × g × g³ × h² × h³

= 12 × [tex]g^{(1+3)}[/tex] × [tex]h^{(2+3)}[/tex]

= 12[tex]g^{4}[/tex][tex]h^{5}[/tex]

Step-by-step explanation:

35x׳/7 = (35x×⅕)+(35x×1/x)

15x=7x+35

8x=35

x=4.375.

hope this helps you.

[tex]35x( \frac{3}{7} = \frac{1}{5} + \frac{1}{x} ) \\ = > 35x \times \frac{3}{7} = > 35x \times \frac{1}{5} + 35x \times \frac{1}{x} \\ = > 5x \times 3 = 7x + 35 \\ = > 15x = 7x + 35 \\ = > 15x - 7x = 35 \\ = > 8x = 35 \\ = > x = \frac{35}{8} \\ = > x = 4.375[/tex]

x = 4.375

Answer:

[tex]{ \rm{ - 8b = 2d - \frac{2}{h} }} \\ \\ { \rm{ - 8b + \frac{2}{h} = 2d}} \\ \\ { \boxed{ \rm{d = - 4b + \frac{1}{h} }}}[/tex]

Answer:

Answer is 12

Step-by-step explanation:

f(g(-2))

=f((-2)^2+2)

=f(6)

=-1/2×6^2+5×6

=12

Answer:

1 is equal

2 is greater

3 is greater

Step-by-step explanation:

2^3 x 2^5 is 32, and 2^5 is 32, meaning these are equal.

2^2 x 3^2 is 36, and 6^3 is 216, meaning 6^3 is greater.

2^3 x 3^2 is 72, and 6^2 is 36, meaning that 2^3 x 3^2 is greater.

Answer:

Step-by-step explanation:

We know that the system of equations

a

1

​

x+b

1

​

y=c

1

​

a

2

​

x+b

2

​

y=c

2

​

has infinitely many solutions, if

a

2

​

a

1

​

​

=

b

2

​

b

1

​

​

=

c

2

​

c

1

​

​

Here, a

1

​

=2,b

1

​

=3,c

1

​

=4,a

2

​

=k+2,b

2

​

=6,c

2

​

=3k+2.

Therefore, the given system of equations will have infinitely many solutions, if

k+2

2

​

=

6

3

​

=

3k+2

4

​

⇒

k+2

2

​

=

6

3

​

 and  

6

3

​

=

3k+2

4

​

⇒

k+2

2

​

=

2

1

​

 and  

2

1

​

=

3k+2

4

​

⇒k+2=4 and 3k+2=8

⇒k=2 and k=2

⇒k=2

Hence, the given system of equations will have infinitely many solutions, if k=2.

Answer:

The edited video would now be 5 Minutes 50 Seconds

Step-by-step explanation:

10-4.5=5.5

To subtract any percentage from a number, simply multiply that number by the percentage you want to remain. In other words, multiply by 100 percent minus the percentage you want to subtract, in decimal form. To subtract 20 percent, multiply by 80 percent (0.8).

Step-by-step explanation:

its 5.5 mins

here are the methods

1-0.45= 0.55  0.55*10= 5.5

or

its

45/100= 0.45  0.45*10min= 4.5  10mins-4.5mins= 5.5 mins

Answer:

b) 1.383

d) 2733

f) 41.429

h) 6317

j) 87.889

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Answer:

$44

Step-by-step explanation:

20% changes to 0.2

$55 x 0.2 = $11 ---> this is the sales discount

$55 - $11 = $44 ---> sale price

Answer:

81 is the answer

Step-by-step explanation:

:>>>>>>>>

Answer:

Sorry if im late

Step-by-step explanation:

The correct statements are:

The value of f(-10) = 82

The graph of the function is a parabola

The graph contains the point (20,-8)

Answer:

x=18

Step-by-step explanation:

89=5x-1

89+1=5x

90=5x

18=x

Answer:

Have a splendiferous day!

Hope this helps!

Step-by-step explanation:

Shopping at the grocery store

Rough calculations of math

Figuring out time it would take to reach a location

Making nearly accurate measurements

Trying to stay within a budget

Solving extremely complicated numbers

Dealing with decimals

For quick calculations in a business

To prepare ahead, e.g an overestimate

and so on.

Answer:

Hi

Step-by-step explanation:

I don't know bec we didn't learn this.. So.. Sorry

Answer:

52

Step-by-step explanation:

6+2+6=14

14*3=42

2*5(the five wasn't in the question but it's on the picture sooooo yeah)=10

42+10=52

Answer:

A) -0.0125

Step-by-step explanation:

-1/80 (fractional form)

Answer:

the length of side DF is 19

Step-by-step explanation:

you first need to find what x=

sides  AB=DF    AC=DE    BC=FE

so we can say that 3x+1=19

3x+1=19

-1        -1

3x=18

÷ by 3

x=6

then DF os 2x+7

so 2(6)+7

12+7=19

Answer:

1/2

Step-by-step explanation:

8×+1=5

8×=5-1

8×=4

×=4/8=1/2

Answer/Step-by-step explanation:

Given :  

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

To Find: two types of transformations that can be used to transform f(x) to g(x).

=================================================================

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Solution Part A:

f(x) = x/5  + y/(-10) = 1  

=> 2x  - y  =  10

=================================================================

Part B: Solve for k in each type of transformation. (4 points)

Solution Part B:

g(x) = x/(-3) + y/6  = 1

=> 2x  -  y  = - 6  

=================================================================

an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Solution Part C:  

Transformations :

g(x)  = f(x)  +  16

g(x) = f(x + 8)

Answer:

$7.78

Step-by-step explanation:

140/18 = 7.78

Answer:

0.77

Step-by-step explanation:

10/13 as a decimal is 0.769230

0.769230 to the nearest 100 is 0.77

Hope this helps :D

Answer:should be d

Step-by-step explanation:

Answer:

option 2

Step-by-step explanation:

[tex]D = \dfrac{3}{2}W\\\\w = 80 \ lbs\\\\D =\dfrac{3}{2}*80\\\\=3*40\\\\D = 120 mg[/tex]

Answer:

D)

Step-by-step explanation:

Answer:

3/8×4/5

= 3/10

...........

option a

Answer:

Step-by-step explanation:

Answer:

[tex] ➜- 8 - x + x = x - 4x + x[/tex]

[tex] ➜- 8 = - 2x[/tex]

[tex] ➜- \frac{8}{ - 2} = \frac{ - 2x}{2} [/tex]

[tex]➜x=4[/tex]

Answer:

A

Step-by-step explanation:

I think it’s A

Answer:

It's A

Step-by-step explanation:

27‌ ‌ ‌ ‌ ‌ ‌ ‌‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌

Answer:

Step-by-step explanation:

Plan A remains with $450 stable charge and Plan B is:

In order Plan B to be cheaper we set an inequality:

Answer:

[tex]v = \frac{1}{2} a {t}^{2} \\ a = \frac{2v}{ {t}^{2} } [/tex]

'a' can be expressed in terms of 'v' and 't' as -

[tex]$a=\frac{2v}{t^{2} }[/tex]

We have the following expression -

[tex]$v = \frac{1}{2} at^{2}[/tex]

We have to express → a in terms of v and t.

On solving, we get -

Sin([tex]2n\pi x[/tex]) = 0.785

Sin([tex]2n\pi x[/tex]) = Sin ([tex]\frac{\pi }{4}[/tex])

2n[tex]\pi[/tex]x =  [tex]\frac{\pi }{4}[/tex]

x =  [tex]$\frac{1}{8n}[/tex]

According to the question, we have -

[tex]$v = \frac{1}{2} at^{2}[/tex]

[tex]$a=\frac{2v}{t^{2} }[/tex]

Hence, 'a' can be expressed in terms of 'v' and 't' as -

[tex]$a=\frac{2v}{t^{2} }[/tex]

To solve more questions on Rearranging expressions, visit the link below-

brainly.com/question/8864600

#SPJ2

If the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. The research method that the researcher use , and what outcome would be found is: Cross-sectional. The outcome is: As people grow older their sense of smell decrease.

A cross-sectional is a research that is carried out by collecting data from different group of population or by drawing a random sample from a group of population  in which the researcher will then study or observe the data collected  at a particular period of time.

Based on the given information the researcher is making use of Cross-sectional research method as the researcher what to know how people perceive smell based on their age or how age determine people sense of smell.

The outcome that could be found based on the research is that as people age or grow older their sense of smell decrease or begins to decrease, which simply means that younger people have strongest sense of smell than older people.

Inconclusion If the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. The research method that the researcher use , and what outcome would be found is: Cross-sectional. The outcome is: As people grow older their sense of smell decrease.

Learn more about Cross-sectional here:

https://brainly.com/question/1900606

Answer:

40

Step-by-step explanation:

so it is just like a regular equation like 30+10=40 but your just finding what A means so 40 yea