Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109. Carli went over her data limit on her phone, so her share of the bill was $15 more than Angela's to account for the overage charge. Which system of equations represents this situation?
A. c+a=15
c=a+109

B. c+a=109
c=a+15

C. c+a=109
a=c+15

D. c-a=15
c=a+109

Answer:

7-cup carton of pineapple juice for $3.01

Step-by-step explanation:

2-quart carton of pineapple juice for $2.00

2.00 : 2 = 1.00

check your work:  1.00 x 2 = 2.00

so for the first offer you will be paying $1.00 per quart

7-cup carton of pineapple juice for $3.01

1 cups = 0.25 quarts

7 cups = 1.75 quarts

3.01 : 7 = 0.43

check your work: 0.43 x 7 = 3.01

for the second offer you will be paying $0.43 per quart of juice. 7-cup carton of pineapple juice for $3.01 is a better buy because you will be paying less than half of the price for each quart  than the first offer.

hope this helps!

Answer:

2°

Step-by-step explanation:

Since, angles A and B are complementary.

Therefore,

[tex] m\angle A + m\angle B = 90\degree \\\\

(4x +40)\degree + (x-10)\degree = 90\degree \\\\

(4x+x +40-10)\degree = 90\degree \\\\

(5x +30)\degree = 90\degree \\\\

5x + 30= 90\\\\

5x = 90 - 30\\\\

5x = 60\\\\

x = \frac{60}{5}\\\\

x = 12\\\\

m\angle B = (x-10)\degree \\\\

m\angle B = (112-10)\degree \\\\

m\angle B = 2\degree \\\\[/tex]

Answer:

sorry, i haven't understood your question!! how can i tell which statement is false.

Answer:

i can't delete my answer but at first i thought it was just #7 but then i paid attention to the others and they all look like right triangles but idk fs sorry

Step-by-step explanation:

Answer:

6.2z

Step-by-step explanation:

its basically just 3.4 + 2.8 but you add a z.

Answer:

6.2z

Step-by-step explanation:

Basically adding 3.4 +2.8 getting 6.2 then adding z to the end of it

Answer:

104 miles

Step-by-step explanation:

13 miles * 8 hours = 104 miles

Answer:

104 miles

Step-by-step explanation:

Answer:

5:6

Step-by-step explanation:

the ratio before would be 10/12 so you would have to divide both sides by 2 so you would get 5/6.Hope this helped

Answer:

I believe it is 19.8

Step-by-step explanation:

well if 9 is the number then I  would do

9.9 +

9.9

______

I get 19.8

Tell me if I am wrong :)

Answer:

a.b+c.d=_

Cancellation of the c here requires that it appears in each additive term of the numerator and denominator: ca + cb cd. = c(a + b) cd. = a + b d but ca + b.

Step-by-step explanatin:

you just had to add both of them together and I showed you how, and what the answer is.

Answer:

1.60 (rounded)

Step-by-step explanation:

I haven't done this in a while but you'd use the compound interest formula a=p(1+r)^n where a=8300 p=5000 r=0.075 and solve for n

Answer:

c

Step-by-step explanation:

Answer:

ok go  answer one of my questions ill then give it to u

Answer:

ok i will it will  thx to you too

Step-by-step explanation:

Answer: Y = 17  and X = 43

Step-by-step explanation:

p and r are parallel meaning both angles are the same.

So

3y = 51

divide them by 3

y = 17

Now we take 51 from 180 and we get 129

129 divided by 3x is

x = 43

Answer: That would be 4,3,2

Step-by-step explanation: Hope this helps

Answer:

We know that,

Angle E = 123

Angle B = 57

We observe that,

Angle DEB and Angle E form a linear pair and are supplementary.

Angle DEB + Angle E = 180

Angle DEB = 180-123

=57

We know that if two lines are parallel, the corresponding angles are equal.

Conversely, if the corresponding angles are equal, then the two lines are parallel.

Here,

As Angle B and Angle DEB are corresponding angles are equal in measure (Angle B = Angle DEB = 57), we can say that Line AC and Line DF are parallel.

Step-by-step explanation:

ang B = 180 - 57 = 123°

Since the corresponding angles are equal

So AC and DF are parallel to each other.

Answer:

15

Step-by-step explanation:

5x - 6 = 4x + 9

    +6         + 6

    5x = 4x + 15

  -4x     - 4x

x = 15

Answer:

12

Step-by-step explanation:

1/3( 4×3)+8

1/3(12)+8

4+8

12

Answer:

b

Step-by-step explanation:

Answer:

y = - 0.9167 - 0.75x

Step-by-step explanation:

Given the data:

(−1, 0), (1, −2), (3, −3)

X : - 1, 1, 3

Y : 0, - 2, - 3

The regression model is written in the form:

y = C + mx

Where ;

C = intercept ; m = slope / gradient

Using the regression model calculator on the data values given above :

Slope (m) = - 0.75

Intercept (c) = - 0.9167

Hence,

y = - 0.9167 - 0.75x

c

Answer:

The minimum sample size is [tex]n = 2295 [/tex]    

Step-by-step explanation:

From the question we are told that

    The margin of error is  [tex]E = 0.09[/tex]

    The sample mean is  [tex]\= x = 6.6[/tex]

     The variance is  [tex]\sigma^2 = 4.84[/tex]

Generally the standard deviation is mathematically represented as

      [tex]\sigma = \sqrt{\sigma^2}[/tex]

=> [tex]\sigma = \sqrt{4.84 }[/tex]

=> [tex]\sigma = 2.2[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the sample size is mathematically represented as  

   [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]

=>   [tex]n = [\frac{1.96  *  2.2 }{0.09} ] ^2[/tex]

=>   [tex]n = 2295 [/tex]    

Answer:

an alien can fly 14.5 miles in 1 hour and a dragon can fly 440 miles in 11 hours

Step-by-step explanation:

Step-by-step explanation:

[tex]\sf{ 2 |{\underline{84,102,100}}}[/tex]

[tex]\sf{ 2|{\underline{42,51,50}}}[/tex]

[tex]\sf {3|{\underline{21,17,25}}}[/tex]

[tex]\sf {5|{\underline{7,17,25}}}[/tex]

[tex]\sf {\:\:{7,17,5}}[/tex]

Answer:

D. 51, 53, 55, 58, 60

Step-by-step explanation:

Pardon the messiness!

Answer:

x=7

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

since there are 3 zeroes in 1,000

x is 10

because 10^3=1000

Answer:

10

Step-by-step explanation:

Given :

A recipe for whole grain bread calls for 1 oz of rye flour for every 3 oz of whole wheat flour.

To Find :

How many ounces of each kind of flour should be used to make a loaf of

bread weighing 22 oz.

Solution :

It is given that ratio of rye and whole wheat flour is 1 : 3.

Let, amount of rye flour is x and amount of whole wheat flour is 3x.

So, x + 3x = 22

4x = 22

x = 5.5 oz

3x = 16.5 oz

Therefore, amount of rye flour and whole wheat flour is 5.5 and 16.5 oz respectively.

Hence, this is the required solution.

Answer:

3/5

Step-by-step explanation:

Answer:

[tex] \frac{60}{100} [/tex]

or more simplified:

[tex] \frac{6}{10} [/tex]

or more-more simplified:

[tex] \frac{3}{5} [/tex]

Answer: w= 155

Step-by-step explanation: