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2 years ago

Tommy has 5 jars of marbles. Each jar is 2/3 filled with marbles. How many jars of marbles does Tommy have

Mathematics

1 answer:

Tema [17]2 years ago

0 0

Tommy has 3 and 1/3 jars but 3 of them are full .

Okay so 5*2/3 =10/3 which is 3 1/3

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Solve 3x + 2 = 15 for x using the change of base formula log base b of y equals log y over log b. −1.594 0.465 2.406 4.465

disa [49]

<u>Answer:</u>

The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.

<u>Solution:</u>

Given, expression is $3^{(x+2)}=15$

We have to solve the above expression using change of base formula which is given as

$\log _{b} a=\frac{\log a}{\log b}$

Now, let us first apply logarithm for the given expression.

Then given expression turns into as, $x+2=\log _{3} 15$

By using change of base formula,

$x+2=\frac{\log _{10} 15}{\log _{10} 3}$

x + 2 = 2.4649

x = 2.4649 – 2 = 0.4649

Hence, the value of x is 0.465 approximately and second option is correct one.

3 0

2 years ago

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Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (2,

taurus [48]

Answer:

(A)(12, 9)

Step-by-step explanation:

Given:

The beginning of the left edge of the stencil falls at (2, −1).

A point, say Q on the stencil is at (4, 1).

Point Q divides the stencil into the ratio 1:4.

We are required to find the end of the stencil.

Mathematically, Point Q divides the stencil internally in the ratio 1:4.

For internal division of a line with beginning point $(x_1,y_1)$ and end point $(x_2,y_2)$ in the ratio m:n, we use the formula

$Q(x,y)=(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n} )$

$(x_1,y_1)=(2, -1)$ , $(x_2,y_2)=?$ , Q(x,y)=(4,1), m:n=1:4

Therefore:

$(4,1)=(\dfrac{1x_2+4*2}{1+4} ,\dfrac{1y_2+4*-1}{1+4} )\\(4,1)=(\dfrac{x_2+8}{5} ,\dfrac{y_2-4}{5} )\\$Therefore:\\\dfrac{x_2+8}{5}=4\\x_2+8=4X5\\x_2=20-8=12\\$Similarly\\\dfrac{y_2-4}{5}=1\\y_2-4=5\\y_2=4+5=9\\(x_2,y_2)=(12,9)$

The correct option is A.

6 0

2 years ago

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An airline, believing that 5% of passengers fail to show for flights, overbooks (sells more tickets than there are seats). Suppo

Fittoniya [83]

Answer:

Q1. 13 passengers

Q2. 0.1756 (approx. 0.18)

Step-by-step explanation:

Q1. 267 seats are available on the plane

5% is expected to fail to show up

Hence, no of passengers expected not to show up = 267 * 0.05

= 13.35 (approx 13 passengers)

Q2. See working in the attachment as I had to explain it step by step.

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2 years ago

A pair of sunglasses is on sale for $26. The original price of the sunglasses was $40. What percent of the original price is the

GarryVolchara [31]

If the glasses were origanum 40, and were on sale for 26,we minus them from eachother to find out how much money was saved. So 40-26= 14, if $14 was saved we put 14 over the original price and times it buy 100 14/40x100= 35% So 35% was saved. 100-35= 65. Therefore 65% of the original price was paid and 35% was saved.

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2 years ago

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Indra measured the lengths of her ribbons and made a line plot to record her measurements.

zzz [600]

Answer:

B. 1 1/4

Step-by-step explanation:

You have to subtract 1 3/4 with 1/2 which gives you 5/4 so when you simplify its 1 1/4.

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1 year ago

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