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kvv77 [185]
3 years ago
8

Martha jarred 6 liters of jam after 2 days. How many days does Martha need to spend making jam if she wants to jar 21 liters of

jam in all? Assume the relationship is directly proportional.
Mathematics
1 answer:
lana66690 [7]3 years ago
3 0

Answer: 7

Step-by-step explanation:

if Martha jarred 6 liters of jam in 2 days,

she will jarred 3 litters of jam in one day

for 21 litters she will need 7 days

21/3=7

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Simplify 5^2•(4+2^3)
Marta_Voda [28]

Remember to follow PEMDAS, and left -> right rule.

First, solve the Parenthesis:

(4 + 2^3)

Solve the exponent.

2^3 = 2 x 2 x 2 = 4 x 2 = 8

4 + 8 = 12

_______________________________________________________________

(5^2) x (12)

5^2 = 5 x 5 = 25

25 x 12

_______________________________________________________________

Multiply

25 x 12 = 300

________________________________________________________________

300 is your answer

________________________________________________________________

<em>~Rise Above the Ordinary</em>

3 0
3 years ago
In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a
Art [367]

Answer:

The answer is "\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}"

Step-by-step explanation:

Given value:

Temp-maximum=18^{\circ}  

Temp. minimum = 3^{\circ}

It is halfway between 10 am and 10 pm to 4 am.  

The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:  

T = A \cos B(t-C) + D, where parameters are A, B , C, D, T is the ° C temperature and t is the time (1-24)

A = amplitude = \frac{(T_{max} - T_{min})}{2}\\\\

                       = \frac{(3 - 18)}{2}\\\\= - \frac{15}{2}\\\\ = -7.5

B = \frac{2 \pi}{24}\\\\

   = \frac{\pi}{12}

C = \text{ units translated to the right}= 4

D = y_{min} + amplitude = units \ translated \ up\\\\

D = 7.5 + 3 = 10.5

Its trigonometric function equation that model temperature T hours after midnight in Johannesburg t.

T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5

6 0
4 years ago
Find the slope of the line that passes through Point A (7, 4) and Point B (3, 2), using the formula m=y2-y1/x2-x1
Furkat [3]

Answer:

The slope, or m, is equal to 1/2.

Step-by-step explanation:

m = y2 - y1/x2 - x1

m = 2 - 4/3 - 7

m = -2/-4

m = 1/2

8 0
2 years ago
19. √12 <br> rational ir iraational
evablogger [386]

Answer:

65.8179...

Step-by-step explanation:

its 65.8179...

7 0
3 years ago
What is the median and mode
viktelen [127]
Median is the middle number

60, 60, 65, 70, 70, 85, 90

70 is your median

mode is the number(s) that show up the most
60 and 70 is your mode, since they show up twice (one more than the others)

Range is largest number minus the smallest
90 - 60 = 30, 30 is your range

Mean is all the numbers added together divided by the number of numbers there are 
60 + 90 + 65 + 70 + 70 + 85 + 60 = 500
500/7 = 71.42
Mean = 71.42

hope this helps
5 0
3 years ago
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