A total of 22 dimes and nickels have a value of $1.90. If d represents the number of dimes and n represents the number of nickels, which system of equations models this situation?








A.

d + n = 1.9
0.1d + 0.05n = 22

B.

d + n = 22
0.1d + 0.05n = 1.9

C.

d + n = 1.9
0.1d + 0.5n = 22

D.

d + n = 22
0.1d + 0.5n = 1.9

Answer:

the answer is A

Step-by-step explanation:

its because -4 is the coldest and 3 is the warmest out of the rest

The area of the sector that is not shaded is 120π units²

Option C is the correct answer

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is pir^2.

We have,

The circle has 360°.

This can be written as,

Area = πr² x 360/360

Now,

The area of the not-shaded part has (360 - 60)°

So,

Area = πr² x 300/360

Now,

r = 12 units

Area = π x 12 x 12 x 300/360

Area = 120π units²

Thus,

The area of the sector that is not shaded is 120π units²

Learn more about circle here:

https://brainly.com/question/11833983

#SPJ7

Answer:

154.5 cm of ribbon

Step-by-step explanation:

I'm assuming all 3 boxes are the same.

if so do 25.75×2 then do 51.5×3.

hope this is right and what you were asking for.

Answer:

okay then I have written it check it out

Answer:

O B. (2x+3)(x + 4)

Step-by-step explanation:

[tex]2x^{2} +11x+12[/tex]

[tex]2x^{2} +8x+3x+12[/tex]

[tex]2x(x+4)+3(x+4)[/tex]

[tex](2x+3)(x+4)[/tex]

Answer:

The largest number of mini cakes Nicole can make with the butter she has is 9.

Step-by-step explanation:

Given that Nicole has 2/3 of the butter needed to make a cake, and the same amount of butter is needed to make 1 cake as it does to make 14 mini cakes, to determine what is the largest number of mini cakes Nicole can make with the butter she has, the following calculation must be performed:

2/3 = 0.666

1 = 14

0.666 = X

0.666 x 14/1 = X

9.333 = X

Therefore, the largest number of mini cakes Nicole can make with the butter she has is 9.

Answer:

The approximate probability that she checked a social website first and then a school-related website is 0.267.

Step-by-step explanation:

Given that a student wants to check six websites, and four of the websites are social and two are school-related, and after checking just two sites, she has to leave for school, to determine what is the approximate probability that she checked a social website first, then a school-related website, the following calculation should be performed:

4/6 x 2/5 = X

0.26666666 = X

Therefore, the approximate probability that she checked a social website first and then a school-related website is 0.267.

Answer:

B. 0.267    The guy above me is correct!

Step-by-step explanation:

Edge 2021  Got a 100% on the test

Answer:

option a) 30 : 19

Step-by-step explanation:

[tex]Length = 7 \frac{1}{2} = \frac{15}{2}\\\\Width = 4\frac{3}{4} = \frac{19}{4}[/tex]

Ratio of length to width:

      [tex]\frac{15}{2} : \frac{19}{4}[/tex]

    [tex]=\frac{\frac{15}{2}}{\frac{19}{4}}\\\\=\frac{15}{2 } \times \frac{4}{19}\\\\=15\times \frac{2}{19}\\\\=\frac{30}{19}\\\\30 : 19[/tex]

Answer:

i believe a quadratic function

Step-by-step explanation:

quadratics are when an equation is x^2 so yeah (sorry if thats not what it's asking)

Answer:

c. 2.5

Step-by-step explanation:

4×2.5 => 10

6×2.5 => 15

so scale factor = 2.5

Answer:

(5/1)(4-0)-(-5)(-4-3)

Step-by-step explanation:

You could also get an undefined number by putting any number divided by 0.

Answer:

[tex]x = 3 + i\ or\ x = 3 - i[/tex]

Step-by-step explanation:

Given

[tex]x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}[/tex]

Required

Solve, in terms of i

We have:

[tex]x = \frac{-(-6) \± \sqrt{(-6)^2 - 4(1)(10)}}{2*1}[/tex]

Solve the expressions in bracket

[tex]x = \frac{-(-6) \± \sqrt{36 - 40}}{2*1}[/tex]

[tex]x = \frac{-(-6) \± \sqrt{-4}}{2}[/tex]

Express -4 as 4 * -1

[tex]x = \frac{-(-6) \± \sqrt{-4*1}}{2}[/tex]

Split

[tex]x = \frac{-(-6) \± \sqrt{4}*\sqrt{-1}}{2}[/tex]

In complex numbers;

[tex]i = \sqrt{-1[/tex]

So, we have:

[tex]x = \frac{-(-6) \± 2*i}{2}[/tex]

[tex]x = \frac{6 \± 2i}{2}[/tex]

Factorize

[tex]x = \frac{2(3 \± i)}{2}[/tex]

[tex]x = 3 \± i[/tex]

Split

[tex]x = 3 + i\ or\ x = 3 - i[/tex]

Answer:

the answer is the second number line

120 is the correct answer

Answer:

120

Step-by-step explanation:

The ! denotes a factorial, 5! is simply:

5 * 4 * 3 * 2 * 1 = 120

Answer:

Step-by-step explanation:

m3= 29%

m6= 35%

m7= 90%

Answer:

The free show shooters are likely to be successful after ten attempts

Step-by-step explanation:

Being successful 85% of the time means they have a probability of 85/100 = 0.85

This is for the free throw shooters

for the hitters, there is an average of 0.42

Looking at the two, 0.85 is a better probability compared to 0.42

This is because it is closer to 1

What this mean is that after 10 throws, it is possible that the free throw shooters are likely to be successful since they have the better probability

Answer:

The table does not represent a function.

Step-by-step explanation:

Every function must have a exactly one y-value for every x-value. Two different x-values can have the same y-value, but two different y-values cannot have the same x-value.

In the table, we see that the same x-value has two different y-values:

[tex](15, \textbf{10}),\\(15, \textbf{10.5})[/tex]

Thus, the table does not represent a function.

Answer:

(b) is true

Step-by-step explanation:

Given

Molly

[tex]a = 500[/tex] --- starting balance

[tex]m = 10[/tex] --- monthly rate

Her brother

[tex]a = 100[/tex] ---- starting balance

[tex]r = 10\%[/tex] --- annual rate

Required

Determine which option is true

First, we calculate her brother's function.

The function is an exponential function calculated as:

[tex]y = ab^x[/tex]

Where [tex]b = 1 + r[/tex]

So, we have:

[tex]y = ab^x[/tex]

[tex]y = 100 *(1 + 10\%) ^x[/tex]

[tex]y = 100 *(1 + 0.10) ^x[/tex]

[tex]y = 100 *(1.10) ^x[/tex]

Hence:

[tex]g(x) = 100 *(1.10) ^x[/tex]

Next, we calculate Molly's function (a linear function)

The monthly function is:

[tex]y = mx + a[/tex]

So, we have:

[tex]y = 10x + 500[/tex]

Annually, the function will be:

[tex]y = 10x*12 + 500[/tex]

[tex]y = 120x + 500[/tex]

So, we have:

[tex]f(x) = 120x + 500[/tex]

At this point, we have:

[tex]f(x) = 120x + 500[/tex] ---- Molly

[tex]g(x) = 100 *(1.10) ^x[/tex] ---- Her brother

Next, we test each option

(a): Molly's account will have a faster rate of change over [32,40]

We calculated Molly's function to be:

[tex]y = 120x + 500[/tex]

The slope of a linear function with the form: [tex]y = mx + b[/tex] is m

By comparison:

[tex]m = 120[/tex]

Since Molly's account is a linear function, the rate of change over any interval will always be the same; i.e.

[tex]m = 120[/tex]

For his brother:

Rate of change is calculated using:

[tex]m = \frac{g(b) - g(a)}{b - a}[/tex]

[tex]m = \frac{g(40) - g(32)}{40 - 32}[/tex]

[tex]m = \frac{g(40) - g(32)}{8}[/tex]

Calculate g(40) and g(32)

[tex]g(x) = 100 *(1.10) ^x[/tex]

[tex]g(40) = 100 * 1.10^{40} =4526[/tex]

[tex]g(32) = 100 * 1.10^{32} = 2111[/tex]

So, we have:

[tex]m = \frac{4526 - 2111}{8}[/tex]

[tex]m = \frac{2415}{8}[/tex]

[tex]m = 302[/tex]

By comparison: [tex]302 > 120[/tex]

Hence, her brother's account has a faster rate over [32,40]

(a) is false

(b): Molly's account will have a slower rate of change over [24,30]

[tex]m = 120[/tex] --- Molly's rate of change

For his brother:

[tex]m = \frac{g(b) - g(a)}{b - a}[/tex]

[tex]m = \frac{g(30) - g(24)}{30 - 24}[/tex]

[tex]m = \frac{g(30) - g(24)}{6}[/tex]

Calculate g(30) and g(24)

[tex]g(x) = 100 *(1.10) ^x[/tex]

[tex]g(40) = 100 * 1.10^{30} =1745[/tex]

[tex]g(32) = 100 * 1.10^{24} = 985[/tex]

So, we have:

[tex]m = \frac{g(30) - g(24)}{6}[/tex]

[tex]m = \frac{1745 - 985}{6}[/tex]

[tex]m = \frac{760}{6}[/tex]

[tex]m = 127[/tex]

By comparison: [tex]127 > 120[/tex]

Hence, Molly's account has a slower rate over [24,30]

(b) is false

(c): Molly's account will have a slower rate of change over [0,4]

[tex]m = 120[/tex] --- Molly's rate of change

For his brother:

[tex]m = \frac{g(b) - g(a)}{b - a}[/tex]

[tex]m = \frac{g(4) - g(0)}{4 - 0}[/tex]

[tex]m = \frac{g(4) - g(0)}{4}[/tex]

Calculate g(4) and g(0)

[tex]g(x) = 100 *(1.10) ^x[/tex]

[tex]g(4) = 100 * 1.10^4 =146[/tex]

[tex]g(0) = 100 * 1.10^{0} = 100[/tex]

So, we have:

[tex]m = \frac{g(4) - g(0)}{4}[/tex]

[tex]m = \frac{146 - 100}{4}[/tex]

[tex]m = \frac{46}{4}[/tex]

[tex]m = 11.5[/tex]

By comparison: [tex]120>11.5[/tex]

Hence, Molly's account has a faster rate over [0,4]

(c) is false

The answer would be $53

Answer:

option  C

Step-by-step explanation:

We will take 2 coordinates from the graph and Find the equation of the line.

Let the coordinates be : ( 0, 1) and (1, 3)

step 1 : find slope

[tex]slope , m = \frac{y_2 - y_ 1}{x_2 - x_1} = \frac{3-1}{1-0} = 2[/tex]

Step 2 : equation of the line :

[tex]( y - y_1) = m (x- x_1)[/tex]

[tex](y -1) = 2 ( x -0)\\y - 1 = 2x \\y = 2x + 1[/tex]

Therefore, y = 2x + 1 represent the equation of the line.

Answer:

C

Step-by-step explanation:

You need to solve for y = mx + b

You can solve for b right away. It is clear that the line crosses the y axis at (0,1) so you have

y = mx + 1 so far.

Normally you would need two clear points to solve for m, but since you know the y intercept, you need only 1 point.

The clearest point I can see is (-2,-3) which means that

x = -2

y = - 3

Put that into the equation and solve for m.

-3 = m(-2) + 1          Subtract 1 from both sides

-3-1 = m(-2)             Combine

-4 = -2 m                 Divide both sides by - 2

-4/-2 = m

m = 2

Answer

only a and c are real choices. That's because m = 2 in both cases.

The equation we got is y = 2x + 1 which is c

Answer:

5.2

Step-by-step explanation:

The tenth is the first decimal place to the right of the decimal point

Answer:

51 mph

Step-by-step explanation:

1734  miles

---------------- (per)

34 hours

you would divide. think of it as a fraction

1734

----

34

the numerator is miles and the denominator is hours. divide the numerator (the top number) by the denominator (the bottom number).

1734/34= 51

therefore, martino drove 51 miles per hour

Hope this helps!

Answer:

B' = (-6,6)

Step-by-step explanation:

The coordinates of B are (-2,2)

If the figure is to become 3 times as large, B' would be 3(-2,2) = (-6,6)

Answer:

15, 9, 3n

Step-by-step explanation:

Just multiply the number of red balls by 3 to get total number, and divide the total number by three to get the number of red balls

Answer:

What math game is this?

Oh and this guy is correct.

Step-by-step explanation:

Step-by-step explanation:

the answer is in the above image

use the app DESMOS it really helps

Answer:

20

Step-by-step explanation:

a²+b²=c²

25²-15²=b²

625-225=b²

400=b²

√400=√b²

20=b