Alonso overdrew his bank account and his account balance showed -$50. He spent an
additional $37 going out to the movies with friends. Write an expression and draw a line
number to determine Alfonso's current bank account balance.

Answer:

where is the diagram

Answer:

take lowest common factor

Step-by-step explanation:

Answer:

Find the least common denominator for both fractions and set up the fractions so they can both contain that same denominator.

Step-by-step explanation:

For example, let's say you want to add the fractions [tex]\frac{3}{4}[/tex] and [tex]\frac{2}{7}[/tex].

First, you will want to find the least common demoninator.  Write out the multiples for both denominators originally given, in this case 4 and 7.  Let's go up to 4*10 and 7*10:

4: 4,8,12,16,20,24,28,32,36,40

7: 7,14,21,28,35,42,49,56,63,70

Se which number in both sets is the first number to be the same in both sets.  That will be your least common denominator.  In this case, the least comon denominator is 28.

To set the fractions right, you would need to multiply the first fraction, 3/4, by 7/7: [tex]\frac{3}{4}*\frac{7}{7}=\frac{21}{28}[/tex]

Then, you would need to multiply the second fraction, 2/7, by 4/4: [tex]\frac{2}{7}*\frac{4}{4}=\frac{8}{28}[/tex]

Now, since both fractions have a common deonminator now, you can add them togther and simplify afterwards if you need to:

[tex]\frac{21}{28}+\frac{8}{28}=\frac{29}{28}=1\frac{1}{28}[/tex]

And that's it.

Answer:

Slope:[tex]\frac{2}{3}[/tex]

y-intercept:-2

Step-by-step explanation:

Find the value of xy².

xy²

★ Substituting the values of x and y ,we get :

⇒ -12 × ( -3 )²

⇒ -12 × 9

⇒ -108

Answer:

The formula for ABC Triangle

(AB×AC)/2

= (4.7×2.4)/

= 11,28/2

= 5,64 in²

Answer:

$180

Step-by-step explanation:

25% = 1/4

x/4 = 45

45*4 = 180

Answer:

Sin^2 x

Step-by-step explanation:

● (1-cos x) (1 + cos x)

● 1^2 - cos^2 x

● 1 - cos^2 x

We khow that 1 = sin^2 x + cos^2 x

● [ sin^2 x + cos^2 x] - cos^2 x

● sin^2 x + cos^2 x - cos^2x

● sin^2 x

Answer:

12:00

Step-by-step explanation:

so if you add up all the time they were there like this 1 hour + 15 +45+1 hour +30 you will get 3 hours and 30 minutes so then you subtract the the time from the  time like this 3:30 so they went at 12:00

Problem 1

The circumference is the full perimeter around the circle. You can think of it as the combination of "circle" and "fence" to get "circumference", but there might be other tricks to remember the term.

Anyways, the formula to get the circumference of a circle is

C = 2*pi*r

In this case, r = 14 is our radius so,

C = 2*pi*r

C = 2*pi*14

C = 28pi .... exact circumference in terms of pi

We only want a portion of this circumference as shown by the piece of the circle darkened. The fractional portion we want is 135/360 of a circle. Divide the angle by 360 to get the fractional portion you want. If the angle was say 180 degrees, then 180/360 = 1/2 is the fractional portion.

So we take 135/360 and multiply it by the value of C found earlier

arc length = (fractional portion)*(circumference)

arc length = (135/360)*28pi

arc length = 10.5pi

That's the exact arc length in terms of pi. Use a calculator to find that

10.5pi = 32.9867228626929

Or you could use pi = 3.14 to say

10.5*pi = 10.5*3.14 =  32.97

Which is fairly close to what the calculator is saying

-----------------

Exact arc length = 28pi

Approximate arc length (using calculator) = 32.9867228626929

Approximate arc length (using 3.14 for pi) = 32.97

Units are in feet

When I write "using calculator", I mean using the calculator's stored version of pi, instead of pi = 3.14

======================================================

Problem 2

We could use the same idea as problem 1, or we could use the formula below. The formula is just a quick way of encapsulating what I discussed earlier.

L = arc length

x = central angle

L = (x/360)*2*pi*r

L = (150/360)*2pi*13

L = (65/6)pi .... exact arc length

L = 34.0339204138894 .... approx arc length (using calculator)

L = 34.0166666666667 .... approx arc length (using 3.14 for pi)

-----------------

Exact arc length = (65/6)pi

Approximate arc length (using calculator) = 34.0339204138894

Approximate arc length (using 3.14 for pi) = 34.0166666666667

Units are in meters

Answer:

1 miles/hour = 1.467·feet/second

Step-by-step explanation:

The given measurement unit are;

88 feet/second = 60 miles/hour

The number of feet per second that is equal to one mile per hour is found as follows;

88 feet/second = 60 miles/hour

To have a unit measure of one mile per hour , we divide both sides of the equation by 60 to get

(88 feet/second)/60 = (60 miles/hour)/60

Which gives;

(88/60 feet/second) = (60/60 miles/hour) = 1 miles/hour

22/15 × feet/second =  1 miles/hour

1.46667·feet/second =  1 miles/hour

Rounding to the nearest thousandth gives;

1.467·feet/second =  1 miles/hour

The number of feet per second that is in 1 mile per hour is 1.467·feet/second.

Answer:

B

Step-by-step explanation:

If you were to have an equation y = x.

Then, x - 9 shifts it down 9.

If you were to have an equation y = 2x.

Then, 2x - 9 shifts it down 9.

Using this pattern, we deduce that  f(x) - 9, shifts the graph down 9 units.

So, our answer is B>

Step-by-step explanation:

Coordinate referrals and advocate with partner organizations supporting GBV survivors to provide confidential services to clients, in accordance with their wishes, GBV guiding principles and informed consent.

Answer: U, W, Z and Y

Step-by-step explanation:

4 points are not coplanar if there does not exist any plane that contains the 4 points.

So, a plane is formed by a line and one point outside of it.

Then, we want to select the last point in such a way that it lies outside of the plane generated by the first 3 points selected.

For example:

If first we select Point U and Point W, we will have a line, as shown in the image.

Now we can select the Point  Z, that is outside the line, and now we have the plane M that you can see in the image.

Now we need to select a point that is not in the plane, the only two options are Point X and Point Y, we can select any of those two, let's take the Point Y.

So, here we have that:

Points U, W, Z and Y are not coplanar.

Answer: There are 17 quarters.

Step-by-step explanation:

Let x = Number of quarters and  Number of nickels =x+16

∵ 1 nickel = $0.05, 1 quarter = $0.25

value of x quarters = 0.25 x

value of x+16  nickels = 0.05(x+16)

Then, as per given,

[tex]0.05(x+16)+0.25 x= 5.90 \\\\\Rightarrow\ 0.05x+0.8+0.25x=5.90\\\\\Rightarrow\ 0.30x=5.9-0.8\\\\\Rightarrow\ 0.30x=5.1\\\\\Rightarrow\ x=\dfrac{5.1}{0.30}=\dfrac{51}{3}\\\\\Rightarrow\ x=17[/tex]

Hence, there are 17 quarters.

Answer:

462 ways

Step-by-step explanation:

The formula to use in solving this problem is given as the Combination formula

The Combination formula is given as

C(n , r) = nCr = n!/r! (n - r)!

We are told that a food bakery has 12 pies unsold at the end of the day which they intend to share to 6 food banks

n = 12, r = 6

In order to ensure that at least 1 food bank gets 1 pie, we have:

n - 1 = 12 - 1 = 11

r - 1 = 6 - 1 = 5

Hence,

C(11, 5) = 11C5

= 11!/ 5! ×(11 - 5)!

= 11!/5! × 6!

= (11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)/ (5 × 4 × 3 × 2 × 1) ×( 6 × 5 × 4 × 3 × 2 × 1)

= 462 ways

Answer:

100.7%

Step-by-step explanation:

Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.

We can setup a formula using our period of time and the money he invested into the bank:

[tex]340(x)^{32}=420[/tex]

We can divide 340 from both sides, and simplify the right side to 21 divided by 17:

[tex]x^{32}=\frac{21}{17}[/tex]

Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.

Answer:

34.166

Step-by-step explanation:

Mean=(Sum of all the numbers)/12=410/12=34.166

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\bullet \large\textsf{ Finding the mean you have to add up all of your numbers \& divide it}\\\large\textsf{by the total numbers in your data plot}[/tex]

[tex]\mathsf{\dfrac{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}{12}}[/tex]

[tex]\mathsf{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}[/tex]

[tex]\mathsf{= 25 + 45 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]

[tex]\mathsf{= 70 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]

[tex]\mathsf{= 160 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]

[tex]\mathsf{= 220 + 45 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]

[tex]\mathsf{= 265 + 30 + 10 + 20 + 45 + 15 + 25}[/tex]

[tex]\mathsf{= 295 + 10 + 20 + 45 + 15 + 25}[/tex]

[tex]\mathsf{= 305 + 20 + 45 + 15 + 25}[/tex]

[tex]\mathsf{= 325 + 45 + 15 + 25}[/tex]

[tex]\mathsf{= 370 + 15 + 25}[/tex]

[tex]\mathsf{= 385 + 25}[/tex]

[tex]\mathsf{= \bf 410}[/tex]

[tex]\mathsf{= \dfrac{410}{12}}[/tex]

[tex]\mathsf{\dfrac{410}{12} \approx \bf 34.1667}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Thus, your ANSWER is: \boxed{\mathsf{ \bf \underline{{\star 34.1667\star}}}}}}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

50%

Step-by-step explanation:

its 50% it will land on head and 50% it will land on tails since there is only two sides on a coin

Answer:

1/2 or .5

p(1/2)

Step-by-step explanation:

its simple, there are 2 sides to a coin, so there are 2 possible outcomes. and the question asks what is the probability of the coin landing on one or in other wrds, its asking what is te probilitity of one of the two heads to be up. SO the probility is 1/2

Answer:

x=0

Step-by-step explanation:

Tangent Chord Angle = 1/2 Intercepted Arc

A circle is 360 degrees

The missing arc is

360 - (2x+260)

360 -2x-260

100 -2x

Using the formula

50 = 1/2(100-2x)

50  = 50 -x

Subtract 50 from each side

0 = -x

x=0

Step-by-step explanation:

hope this helps

pls mark me brainliest

Answer:

v = 6

Step-by-step explanation:

3/v = 2/4

We can use cross products to solve

2v = 3*4

2v = 12

Divide each side by 2

2v/2 = 12/2

v =6

Answer:

v=6

Step-by-step explanation:

If this is making them equal, then you should know that 2/4 is 1/2 , so you could just multiply 3 by both the 1 and the 2 in 1/2 and 1 times 3 is 3 which is what we have and 2 times 3 is 6 which is v.

Answer:

500

Step-by-step explanation:

A = the unknown number that we need to find

A x 13/100 = 65

=> A x 13 = 6500

=> A = 6500 / 13

=> A = 500

13% of 500 is 65.

Let's check whether the answer is correct or not.

=> 500 x 13/100

=> 5 x 13

=> 65.

So, the number whose 13% is 65 is 500

Answer:

Step-by-step explanation:

Let the number be x,

Then,

13% of x =65

Or, 13/100 of x =65

Or,x=6500/13

:.x=500

Answer:

4

Step-by-step explanation:

V = Lwh

the volume (given) = 24 ft^3

the height (given) = 18" = 1.5'

24 = L*w*1.5

divide both sides by 1.5

16 = Lw

You need to find the number of feet in each side of the base

since the box has a square base

L = W

AND, found above, L*w = 16

so 4*4= 16

Answer - 4

Answer:

-15+6d

Step-by-step explanation:

The common difference of the sequence is -3+9=6

The formula is an=a+(n-1)d, an=-9+(n-1)*6=-15+6d

Answer:

49 square meters represent area of the square garden

Step-by-step explanation:

Each side length=7 meters

He multiplied 7 × 7 times to find the amount of space

=49 square meters

Jack is trying to measure the area of his square garden

Area of the square garden = length^2

=Length × length

Recall,

Length=7 meters

Area of the square garden= 7 meters × 7 meters

=49 square meters

Answer:

sorry

Step-by-step explanation:

polynomial is not given

question is incomplete

Answer:

5/6

Step-by-step explanation:

15/18

Divide the top and bottom by 3

15/3 = 5

18/3 = 6

5/6

I have simplified:)

To simplify, you have to divide the numerator & denominator by 3

BTW,I am also an Acellus student!:)