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svetlana [45]
2 years ago
9

Jeremy bought postcards on a trip. He

Mathematics
1 answer:
noname [10]2 years ago
5 0

Answer:

T = total #

T = 5 (to the aunt) + 1/2 (T - 5) (to his friends) + 1 (to his sister) + 4 (left)

T = 5 + 1/2 (T - 5) + 1 + 4

T = 10 + 1/2 (T - 5)

2T = 20 + (T - 5)

2T = 20 + T - 5

2T = 15 + T

T = 15

Step-by-step explanation:

You might be interested in
A regular octagon has an apothem of 16.9 cm and a side length of 14 cm. Find the area to the nearest tenth.
jolli1 [7]

Answer:

946.4 cm

Step-by-step explanation:

Formula for finding the area of any polygon :

number of sides (n) x 0.5 x length of sides (s) x apothem (a)

Area = 8 x 0.5 x 14 x 16.9 = 946.4

hope this helps ! :)

8 0
1 year ago
A caterpillar eats 75 leaves in 5 hours. How many leaves will the caterpillar eat in 8 hours if it continues to eat at the same
Dahasolnce [82]

Answer:

120 leaves

Step-by-step explanation:

If the caterpillar eats 75 leaves in 5 hours and continues to eat at the same rate, the number of leaves eaten is simple, 120 leaves.

How I found the answer:

First, I divided 75 by 5 and got 15, then I multiplied 8 to 15 and got 120.

3 0
3 years ago
Read 2 more answers
Write an equation in point slope form for the line through the given point with the given slope.
GuDViN [60]
Y - y1 = m(x - x1)
slope(m) = 3/4
(-4,6)....x1 = -4 and y1 = 6
now just sub...and pay attention to ur signs
y - 6 = 3/4(x - (-4)...not done yet
y - 6 = 3/4(x + 4) <===
3 0
3 years ago
The accompanying data represent the miles per gallon of a random sample of cars with a​ three-cylinder, 1.0 liter engine.a. Comp
Kobotan [32]

Answer:

1). Z score = 1.464733

Mean = 38.87917

Standard deviation = 3.609405

2). Quartiles:

Q1 = 37.025

Q2 = 38.450

Q3 = 40.800

3). IQR = 3.775

4).

CI (lower fence) = 37.4351

CI (upper fence) =  40.32323

5). There is outlier in the data set. Please see attached box plot for evidence.

Step-by-step explanation:

1). By Z score, we mean:

Z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}},

where:

x-bar ==> mean(g) = 38.87917

\mu = 37.80

standard deviation = 3.609405

sample size (n) = 24.

2). By quantile, we mean:

Q = L + (i*(n/4) - Cf)*c

Where L is the lower class limit of the quartile class

Cf is the cumulative frequency before the quartile class

c  is the class size.

3) . IQR = Q3 - Q1

4). CI = \mu \pm *Z_{\alpha/2} \frac{\sigma}{\sqrt{n}},

Where Z_{\alpha/2}  ==> 1.96

In order to replicate and obtain the result, please use the R code below:

g = c(31.5, 36.0, 37.8, 38.5, 40.1, 42.2,34.2, 36.2, 38.1, 38.7, 40.6, 42.5,34.7, 37.3, 38.2, 39.5,  

41.4, 43.4,35.6, 37.6, 38.4, 39.6, 41.7, 49.3)

boxplot(g)

Z = (mean(g) - 37.8)/(sd(g)/sqrt(length(g)))

mean(g)

quantile(g)

IQR(g)

CIl = mean(g) - 1.96*(sd(g)/sqrt(length(g)))

CIU = mean(g) + 1.96*(sd(g)/sqrt(length(g)))

4 0
3 years ago
Solve for x: 3/4x+5/4=4x?
butalik [34]

Answer:

x = 5/13 = 0.385

Step-by-step explanation:

Step  1  :

           5

Simplify   —

           4

Equation at the end of step  1  :

   3         5    

 ((— • x) +  —) -  4x  = 0

   4         4    

Step  2  :

           3

Simplify   —

           4

Equation at the end of step  2  :

   3         5    

 ((— • x) +  —) -  4x  = 0

   4         4    

Step  3  :

Adding fractions which have a common denominator :

3.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x + 5     3x + 5

——————  =  ——————

  4          4  

Equation at the end of step  3  :

 (3x + 5)    

 ———————— -  4x  = 0

    4        

Step  4  :

Rewriting the whole as an Equivalent Fraction :

4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         4x     4x • 4

   4x =  ——  =  ——————

         1        4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(3x+5) - (4x • 4)     5 - 13x

—————————————————  =  ———————

        4                4  

Equation at the end of step  4  :

 5 - 13x

 ———————  = 0

    4  

Step  5  :

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 5-13x

 ————— • 4 = 0 • 4

   4  

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  5-13x  = 0

Solving a Single Variable Equation :

5.2      Solve  :    -13x+5 = 0

Subtract  5  from both sides of the equation :

                     -13x = -5

Multiply both sides of the equation by (-1) :  13x = 5

Divide both sides of the equation by 13:

                    x = 5/13 = 0.385

One solution was found :

                  x = 5/13 = 0.385

Processing ends successfully

plz mark me as brainliest :)

4 0
3 years ago
Read 2 more answers
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