Kara and James both like to mix a little bit of milk with their eggs when they make scrambled eggs. Kara mixes ¾ of a tablespoon of milk with one egg. James mixes 1 ¼ tablespoons milk with two eggs. Is there a proportional relationship between Kara and James’ milk and egg amounts?

Answer:

7 inches

Step-by-step explanation:

The formula for the area of a parallelogram is given by A = bh, where A is the area, b is the base, and h is the height.

The parallelogram base is 14 inches, and the area is 98 square inches. Substituting these values into the formula, we get:

98 = 14h

Solving for h, we can divide both sides by 14:

h = 7

Therefore, the height of the parallelogram is 7 inches.

Rewrite as

\(\frac{4}{7} *\frac{3}{10} /\frac{1}{6}\)

PEMDAS says do multiplication first

When multiplying fractions, just multiply across.

12/70   / 1/6

When dividing fractions, KEEP CHANGE FLIP.

Keep one of the fractions, change the sign to multiplication, flip one of the fractions.

12/70  * 6/1

72/70

1 2/70

Option D

1  1/35

Answer: Master of arts in teaching

Step-by-step explanation:

it's for people that want to teach or are teaching already and want to continue teaching in the classroom.

Answer: 338

Step-by-step explanation: Spelled result in words is thirty-three eighths (or four and one-eighth).

Answer: 18

Step-by-step explanation:

x is the number we need to find

We have this equation :

2 ( 3x - 10 ) + 2 = 5x

= 6x - 20 + 2 = 5x

= -20 + 2 = 5x - 6x

= -18 = -1x

x = -18 ; 18

Hope it helps !

Answer: the original number is 18

Step-by-step explanation:

Answer:

Mode=32

Mean=32

Median=32

Step-by-step explanation:

Mode=highest frequency

Mode=10

Mean=£fx

£f

Mean=1280

40

=32

Median=n/2

=40/2

=20

median=32

Answer:

The total amount of money needed to pay off the car after 6 years would be $11,800.

Step-by-step explanation:

Write down the facts:

Interest = $10,000 * 0.03 * 6

This being $10,000, 3% interest rate and over 6 years.

Interest= $1800

This amount we found is the additional amount (interest) you have to pay with the $10,000. Now, to find the total amound we add the interest and $10,000.

Total amount = 10,000 + $1800

Total amount = $11,800

Therefore the total amount paid over 6 years (including the 3% interest rate) would be $11,800. I hope this helped!!!

$11800 is the answer

Answer:

Hello answer: 500

Step-by-step explanation:

(base × height)

25 × 20 = 500 therefore 500 is the area

Answer:

Area: 500 yd^2

Step-by-step explanation:

Area= b • h

Area= 25 • 20

Area= 500

Hope this helps!

Answer:

vkabzaubhx n xjbx

Step-by-step explanation:

Answer:

D is the right choice and no you cannot fit the pizza inside the box.

Step-by-step explanation:

D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.

Answer:

I believe the answer is D.

Step-by-step explanation:

GOOGLE

Answer:

D

Step-by-step explanation:

Im not very sure though.

Answer:C.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

angles in a triangle add to 180

so you do 98 + 37

then take that away from 180

so

x = 180 − (98 + 37)

Answer:

12 number for theanswer of that question answer

Answer:yes proportional

Answer:

A

Step-by-step explanation:

Hope this helps! Please consider making me brainliest!!!!!!!!

Answer:

ill put them below

Step-by-step explanation:

1: -4/4

2: 2/6 or 1/3

3: -35/6

4: 4/21

5: -21/8

Answer:

in order they are

Step-by-step explanation:

1: -4/4

2: 2/6  

3: -35/6

4: 4/21

5: -21/8

Answer:

To find the first four terms of the series, we can substitute the values of n from 1 to 4 in the given formula and simplify:

n=1: -4(2/3)^0 = -4(1) = -4

n=2: -4(2/3)^1 = -4(2/3) = -8/3

n=3: -4(2/3)^2 = -4(4/9) = -16/9

n=4: -4(2/3)^3 = -4(8/27) = -32/27

So the first four terms of the series are -4, -8/3, -16/9, -32/27.

To determine if the series converges or diverges, we need to find the common ratio r, which is the ratio of any term to its preceding term:

r = (-4(2/3)^n) / (-4(2/3)^(n-1)) = 2/3

Since the absolute value of the common ratio is less than 1, the series converges.

To find the sum of the series, we can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

where a is the first term and r is the common ratio. Substituting the values we found:

S = -4 / (1 - 2/3) = -4 / (1/3) = -12

So the sum of the infinite geometric series is -12.

Answer:

a)  The first four terms of the series are:

    -4, -8/3, -16/9, -32/27

b)  The series converges.

c)  The sum of the infinite geometric series is -12.

Step-by-step explanation:

Given infinite geometric series:

\(\displaystyle \sum^{\infty}_{n=1} -4 \left(\dfrac{2}{3}\right)^{n-1}\)

Therefore, the formula for the nth term of the sequence is:

\(a_n=-4 \left(\dfrac{2}{3}\right)^{n-1}\)

where:

Calculate the first four terms of the series by substituting the n-values 1 through 4 into the nth term formula.

\(a_1 = -4 \left(\dfrac{2}{3}\right)^{1-1} = -4 \left(\dfrac{2}{3}\right)^{0}=-4\)

\(a_2 = -4 \left(\dfrac{2}{3}\right)^{2-1}= -4 \left(\dfrac{2}{3}\right)^{1}=-\dfrac{8}{3}\)

\(a_3 = -4 \left(\dfrac{2}{3}\right)^{3-1}= -4 \left(\dfrac{2}{3}\right)^{2}=-4 \left(\dfrac{4}{9}\right)=-\dfrac{16}{9}\)

\(a_4 = -4 \left(\dfrac{2}{3}\right)^{4-1}= -4 \left(\dfrac{2}{3}\right)^{3}= -4 \left(\dfrac{8}{27}\right)=-\dfrac{32}{27}\)

A geometric series converges if the absolute value of its common ratio is less than 1. As r = 2/3 and |2/3| < 1, the series converges.

Use the infinite geometric series sum formula to find sum of the infinite series.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$,\;\;for\;$|r| < 1$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)

Substitute a = -4 and r = 2/3 into the formula to find the sum of the infinite series:

\(\begin{aligned}\implies S_{\infty}&=\dfrac{-4}{1-\frac{2}{3}}\\\\ &=\dfrac{-4}{\frac{1}{3}}\\\\&=-4 \cdot \dfrac{3}{1}\\\\&=-\dfrac{12}{1}\\\\&=-12\end{aligned}\)

Therefore, the sum of the given infinite geometric series is -12.

Answer:

1. C

2.B

IG

Step-by-step explanation: CALCULATE

Answer:

the answer would be a is correct

Answer:

The fraction of hardback books on the bookshelf is 2/9.

Step-by-step explanation:

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 3: (6/3) / (27/3) = 2/9. So, the fraction of hardback books on the bookshelf is 2/9.

Answer:

y = 15

Step-by-step explanation:

We need to solve for k

y = x

21 = 7k  Divide both sides by 7 to solve for k

3 = k

y = xk

y = 5(3)

y = 15

Answer: y = 15

Step-by-step explanation:  

Answer:

Step-by-step explanation:

i belief it is a subtraction problem so the answer should be 324

Answer:

52

Step-by-step explanation:

6x=331−7

Then 6x=324

After that you find out that x= 324/6 equals 52

Answer:

c) Punishments in the Code of Hammurabi were adjusted depending on the status of the perpetrator and the victim.

Step-by-step explanation:

The Code of Hammurabi reflected the social hierarchy of ancient Babylonia in that it differentiated punishments based on the social status of the perpetrator and the victim. For example, the code stipulated different punishments for crimes committed by a nobleman versus those committed by a commoner. This demonstrates that ancient Babylonian society was structured into a hierarchy, with different levels of privilege and responsibility assigned based on social status. The Code of Hammurabi, then, serves as a tangible expression of this social hierarchy, showing the ways in which the laws of the land reflected and reinforced existing power dynamics.

Answer: c

Step-by-step explanation:

Answer:

53 degree

Step-by-step explanation:

180-127=53.......

Answer:

53

Step-by-step explanation:

Hi,

When two lines add up to 180 degrees, they are said to be supplementary angles. Since we have one angle measurement, all we have to do is subtract it from 180.

180 - 127 = 53

That means the other angle measures 53 degrees.

Hope this helps :)

Answer:

37.5

Step-by-step explanation:

cosФ = \(\frac{A}{H}\)

cos(33°35') = \(\frac{m}{45}\)

m = 45 × cos(33°35')

m = 37.5 (1d.p.)

Answer:

m+a-1mn+m2+a-1np+n2n+a-mp+p2p8

Step-by-step explanation:

i just know sorry if this is wrong... :(

Answer:

-7.5

Step-by-step explanation:

3.5z-2.7z is .8z

.8x=-6

.8 is 4/5

5/4 times .8z=5/4 times -6

-7.5

The required solution of the given function is z = -7.5.

Given that,
To determine the simplified solution, of the given expression 3.5z - 2.7z = -6 and determine the value of z.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
3.5z - 2.7z = -6
Simplifying,
0.8z = -6
z = -6 / 0.8
z = -7.5

Thus, the required solution of the given function is z = -7.5.

Learn more about simplification here: https://brainly.com/question/12501526

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