Given that log 2 = 0.3010 and log 7 = 0.8451, find the following (a) log 49 (b) log 560​

Answer:

1.25 dollars- the value of each coffee

0.75 dollars- the value of each doughnut

Step-by-step explanation:

Suppose that value of one coffee is x dollars, when one doughnut costs y dollars. The value o 10 coffee is 10x, when 10 doughnuts cost 10y. The sum is 10x+10y and it is 20.

10x+10y= 20 (we can divide each part by 10)

x+y=2

2coffee cost  2x, 14 doughnuts cost 14y

2x+14y=13 (it can be divided by two)

x+7y=6.5

We have the system of equations x+y=2,  x+7y=6.5

Subtract the first equation from the second one (the left side of the first equation from the left side

x+7y - (x+y)= 6.5-2

6y=4.5

y=4.5/6= 3/4 = 0.75 dollars- the value of each doughnut

x=2-0.75=1.25 dollars- the value of each coffee

Answer:

yes it's possible

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. ... This sum must be greater than the length of the longest side.

Answer:

1050

Step-by-step explanation:

Let x = full capacity

[tex]\frac{3}{5} x=\frac{2}{7} x+330[/tex]

Move the variable to the left side by subtracting both sides by [tex]\frac{2}{7} x[/tex]

[tex]\frac{3}{5} x-\frac{2}{7}x=\frac{2}{7} x+330 -\frac{2}{7}x[/tex]

[tex]\frac{3}{5} x-\frac{2}{7} x=330[/tex]

Combine the like terms (don't forget about common denominator)

[tex]\frac{21}{35} x-\frac{10}{35} x=330[/tex]

[tex]\frac{11}{35} x=330[/tex]

Multiply both sides by [tex]\frac{35}{11}[/tex] to isolate the x

[tex](\frac{35}{11})\frac{11}{35} x=330(\frac{35}{11})[/tex]

[tex]x = 1050[/tex]

Answer:

127

Step-by-step explanation:

turn $ 6.35 into 635 and divided by 5

Damaris needs to save 10.46% of his net pay each week to purchase the new pair of shoes by the end of his break.

Given:

To find: The percentage of his net pay that Damaris needs to save each week to purchase the shoes by the end of his break

Let us assume that Damaris needs to save x% of his net pay each week to buy the shoes by the end of his break.

Then, savings per week is x% of $167.30, that is,

[tex]\frac{x}{100}\times 167.30[/tex]

Then, his savings for 10 weeks is,

[tex]10 \times \frac{x}{100}\times 167.30[/tex]

Since the summer break is for 10 weeks, Damaris' savings for the entire summer break is,

[tex]10 \times \frac{x}{100}\times 167.30[/tex]

Damaris wants to buy the new pair of shoes by then end of the break. Then, his savings for the entire summer break should equal the cost of the new pair of shoes.

It is given that the cost of the new pair of shoes is $175.

Then, according to the problem,

[tex]10 \times \frac{x}{100}\times 167.30 =175[/tex]

[tex]x=\frac{175\times 100}{10\times167.30}[/tex]

[tex]x=10.460251[/tex]

Rounding to the nearest hundredth, we have,

[tex]x=10.46[/tex]

Thus, Damaris needs to save [tex]10.46[/tex]% of his net pay each week to buy the shoes by the end of his break.

Learn more about percentage here:

https://brainly.com/question/22400644

Diameter=d=2ft

We know

[tex]\boxed{\sf Lateral\:Surface\:Area=2πrh}[/tex]

[tex]\\ \sf\longmapsto Lateral\: Surface\:Area=2\times 3.14\times 2\times 1[/tex]

[tex]\\ \sf\longmapsto Lateral\;Surface\:Area=4(3.14)[/tex]

[tex]\\ \sf\longmapsto Lateral\:Surface\:Area=12.56ft^3[/tex]

[tex]\begin{gathered} {\underline{\boxed{ \rm { \purple{Surface \: \: area \: = \: 2 \: \pi \: r \: h \: + \: 2 \: \pi \: {r}^{2} }}}}}\end{gathered}[/tex]

[tex]\large{\bf{{{\color{navy}{h \: = \: 2 \: ft. }}}}}[/tex]

[tex]\bf \large \longrightarrow \: \: r \: = \: \frac{Diameter}{2} [/tex]

[tex]\bf \large \longrightarrow \: \: r \: = \: \frac{2}{2} \\ [/tex]

[tex]\bf \large \longrightarrow \: \: r \: = \: \cancel\frac{2}{2} \: ^{1} \\ [/tex]

[tex]\large{\bf{{{\color{navy}{r \: = \: 1 \: ft. \: }}}}}[/tex]

[tex]\bf \hookrightarrow \: \: \: 2 \: \times \: 3.14 \times \: 1 \: ft \: \times \: 2 \: ft \: + \: 2 \: \times \: 3.14 \: \times \: {(1 \: ft)}^{2}[/tex]

[tex]\bf \hookrightarrow \: \: \:6.28 \: ft \: \times \: 2 \: ft\: \: + \: 6.28 \: ft[/tex]

[tex]\bf \hookrightarrow \: \: \:12.56 \: {ft}^{2} \: + \: 6.28 \: ft[/tex]

[tex]\bf \hookrightarrow \: \: \:18.84 \: {ft} \: ^{2} [/tex]

Hence , the surface area of cylinder is 18.84 ft²

Round to the nearest 10 of 18.84 is 18.8

Answer:

meter

10 meters

Or

a dekameter

Answer:

50% growth would would be (1 + .5)^ n

and 100% growth would be (1+ 1)^n

I assume that the answer would be (1+3)^n

for 300% growth the factor would be 3

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

6 x (15 - 7) - 4

PEMDAS says Parentheses first

6 x (8) - 4

Then multiply

48 -4

Then subtract

44

9514 1404 393

Answer:

  7/10

Step-by-step explanation:

In order to make the units cancel, they must be the same. There are 4 quarts in 1 gallon, so 40 quarts = 10×4 quarts = 10×(1 gal) = 10 gal.

Then the ratio is ...

  (7 gal)/(10 gal) = 7/10

Answer:

y = 3/2x-2

Step-by-step explanation:

slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 3/2x+b

Substitute the point in for x and y

1 = 3/2(2)+b

1 = 3+b

1-3 =b

-2=b

y = 3/2x-2

Answer:

45

Step-by-step explanation:

because 5•9=45 so yeah that's the answer

Answer:

6

Step-by-step explanation:

Of 4 options, Janet has to choose 2. This is combinations as A and B is the same as B and A.

Combinations formula gives us 4!/ 2!2! , or 6.

Answer:

x= 80 degrees

Step-by-step explanation:

exterior angle theorem says that the exterior angle (extended line from one of sides of the triangle), 105 in this case is equal to the two opposite angles, in this case that would be 25 and x

therefore

105= 25+x

x= 80

Step-by-step explanation:

The majority of drivers who will buy used next time bought their current vehicle used. The correct option is B.

Any affiliations, financing, or financial holdings that could be seen as influencing the review's objectivity to give rise to potential bias.

Such elements might consist of, but are not limited to, the following: Employment, professional associations, paid consulting, and participation in groups that support relevant causes.

The given table is:-

Current vehicle      Buy used

Bought new             0.039

Bought Used           0.948

Leased                     0.013

Total                         1.000

In the given table it is observed that the majority of drivers who will buy used next time bought their current vehicle used. The correct option is B.

To know more about statistics follow

https://brainly.com/question/28344445

#SPJ2

Answer:

Step-by-step explanation:

A = {p, q, r}

Subsets: {p,q,r}, {p,q}, {p,r}. {q,r}, {p}, {q}, {r}, ∅

::::

Slope of RT = (-7/2 - 0)/(-3/2 - 0) = 7/3

Point-slope equation for line of slope 7/3 that passes through (0,0):

y = (7/3)x

Answer:

10

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

c and d out of the question

b has its circle filled in meaning it could be 15lbs, which it's not

A correct answer by default

Answer:b

Step-by-step explanation: it has a filled in diamond which mean it's that...

Answer:

Could you ask your question in English?

Step-by-step explanation:

Answer:

Area of yellow portion =54 in

Answer:

40320 different surveys would be necessary ...

Step-by-step explanation:

let's start small :

how many are required for 2 questions ?

well, 2 (we can either ask question 1 first and then question 2, or question 2 first and then question 1).

how many for 3 questions ?

well, we have a choice of 3 questions to be asked first. but then for the second and third question we are back in the previous problem of 2 (remaining) questions.

so, we multiply the 3 initial options with the 2 following options. 3×2 = 6

how many for 4 questions ?

well, we have a choice of 4 questions as first question, and then fit the rest we are back in the previous problem of 3 questions. 4×3×2 = 24

you see the pattern ?

yes, that continues as far as we want to go.

for our example the problem was about 8 questions.

so,

8×7×6×5×4×3×2 = 8! = 40320

Answer:

bjbjbfbdvdjbfv

Step-by-step explanation:

fdbfdvbdjv

Answer:

22 weeks

Step-by-step explanation:

Let Suppose if weeks is x

So if we count it:

$40 + $15x = $370

$15x = $330

x = 22 weeks

So, Alan needs 22 weeks to have enough money to buy the new bicycle

Step-by-step explanation:

9 inches

Answer:

24 papers belongs to women

Answer:

I don't know ur Language .......

Jane is given a $100 gift to start and saves $35 a month from her allowance.

   After 1 month, Jane has saved

   After 2 months, Jane has saved

   After three months, Jane has saved

   and so on

In general, after x months Jane has saved

This means that it makes sense to represent the relationship between the amount saved and the number of months with one constant rate (in this case the constant rate is 35). It makes sense because the amount of money increases by $35 each month. Since the amount of increase is constant, we get constant rate. Also the initial amount is known ($100), so there is a possibility to write the equation of linear function representing this situation.

Step-by-step explanation:

Answer:

[tex](x-[-7])^{2} +(y-[9])=[25][/tex]

Step-by-step explanation:

Center (h,k) = (-7, 9)

Radius, r = 5

Equation: [tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

[tex](x-(-7))^{2} +(y-9)^{2} =(5)^{2}[/tex]

[tex]5^{2} =25[/tex]

So, [tex](x-(-7))^{2} +(y-9)=25[/tex]

OAmalOHopeO

Answer:

?????

Step-by-step explanation:

In what do you need primitive function?