The ice cream shop sells sundaes for $2 each and banana splits for $3 each. One day, the shop sold 8 more sundaes than banana splits and also made a total of $156. Which system of equations represents the situation?

Answer:

first term is 8 and common difference d is -4

Step-by-step explanation:

nth term of an arithmetic sequence is: aₙ=12-4n

First term is putting n=1:

aₙ=12-4n

a₁=12-4(1)

a₁=12-4

a₁=8

So, first term a₁= 8

Now finding second term to find common difference

Second term is: n=2

aₙ=12-4n

a₂=12-4(2)

a₂=12-8

a₂=4

So, second term is: 4

The common difference is: a₂-a₁= 4-8 = -4

So, first term is 8 and common difference d is -4 if nth term is 12-4n

Answer:

The cage will cover an area of 805 ft^2 on the Ocean floor

Step-by-step explanation:

To calculate the amount of space the cage has on the Ocean floor, we calculate the area of the base of the cylinder

Mathematically, that will be pi * d^2/4

= 22/7 * (32 * 32)/4

= 22/7 * 256 = 804.5714285714286

The cage will cover an area of 805 ft^2 on the ocean floor

Answer:

22.6 km/hr

Step-by-step explanation:

58.8/2.6=22.6

The car's average speed is 22.6 kilometers

Answer:

25-2

----------  less than 8

   3

Step-by-step explanation:

25 - 2 = 23

23/3 = 7.666...

the answer to the inequality will be less than 8 since 7.6666... < 8

Answer:

Price per item

Step-by-step explanation:

Answer:

Price Per Item

Step-by-step explanation:

Answer:

??????????????

...........

Answer:

x=40

Step-by-step explanation:

Answer:

40°

Step-by-step explanation:

180-130=50

180-90-50=40

Answer:

LMF.AO Try D it's the most compatible number set

Answer:

The answer is C.

Step-by-step explanation:

The answer is C. because for A. 4 * 13 is 52 not 72. For B. 7 * 9 is not 72 its 63. and D. It does not have 4 and 18.

Answer:

we conclude that in the second step, 3 should have been subtracted from the right side as well on the left side.

Step-by-step explanation:

Given the expression

[tex]4 < -2x + 3 < 9[/tex]

SECOND STEP

subtract 3 from the right-hand side as well as on the left-hand side

[tex]4-3 <-2x+3-3<9-3[/tex]

SOLVING THE REMAINING COMPLETE COMPRESSION

[tex]1 < -2x < 6[/tex]

Divide all parts by -2

so the expression becomes

[tex]\frac{1}{-2}\:<\:\frac{-2x}{-2}\:<\:\frac{6}{-2}[/tex]

[tex]\frac{1}{-2}\:>x\:<\:-3[/tex]

Hence, from the explanation, we conclude that in the second step, 3 should have been subtracted from the right side as well on the left side.

Answer:

Step-by-step explanation:

The Greatest Common Factor (GCF) for 14 and 56, notation CGF(14,56), is 14.

Explanation:

The factors of 14 are 1,2,7,14;

The factors of 56 are 1,2,4,7,8,14,28,56.

So, as we can see, the Greatest Common Factor or Divisor is 14, because it is the greatest number that divides evenly into all of them.

Answer:

for 7-12 plot the points on a graph. its the rise/run. from the point farthest to the left, go down or up until you are on the same horizontal line. however many units you moved is the first number. (_/?). then from that point, go to the right until to actually land on the point. however many units you used is your second number. The slope will be in a fraction, and sometimes you can turn it into a whole number.

Step-by-step explanation:

Answer: 8

Step-by-step explanation: Carrie already has taken 9 pictures. This means you have to subtract 9 from 17. That leaves 8 more photos to take.

Answer:

[tex]\dfrac{4}{15} \approx \bold{0.267}[/tex]

Step-by-step explanation:

Given that:

Number of lemon - lime flavored bottles = 8

Number of orange flavored bottles = 7

Bottles are picked one by one.

First for the friend and then for the person himself.

To find:

The probability that both the bottles drawn are of lemon-lime flavor.

Solution:

Total number of bottles available in the cooler = 8 + 7 = 15

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(First\ lemon-lime) = \dfrac{8}{15}[/tex]

Now, lemon - lime flavored bottles left = 7

Total number of bottles left = 14

[tex]P(Second\ lemon-lime)=\dfrac{7}{14}[/tex]

Required probability:

[tex]P(Both\ lemon - lime) = \dfrac{8}{15}\times \dfrac{7}{14}\\\Rightarrow P(Both\ lemon - lime) = \dfrac{4}{15} \approx \bold{0.267}[/tex]

Answer:

a) y-7=-4(x-2)

B) I don't know how to put a graph on brainly :/

Answer:

It'll take 12 years

Step-by-step explanation:

Given

Type A:

[tex]Initial\ Height = 10ft[/tex]

[tex]Growth = 19in[/tex]

Type B:

[tex]Initial\ Height = 4ft[/tex]

[tex]Growth = 25in[/tex]

Required

Determine the years they'll reach the same height

First, convert feet to inches in both measurements (this is done by multiplying measurement by 12):

Type A:

[tex]Initial\ Height = 10ft[/tex]

[tex]Initial\ Height = 10 * 12in[/tex]

[tex]Initial\ Height = 120in[/tex]

Type B:

[tex]Initial\ Height = 4ft[/tex]

[tex]Initial\ Height = 4 * 12in[/tex]

[tex]Initial\ Height = 48in[/tex]

The height at any year from both trees is calculated using

[tex]Height = Iniital\ Height + Growth * x[/tex]

Where x represents the year;

For Type A:

[tex]Height = 120+ 19 * x[/tex]

[tex]Height = 120+ 19x[/tex]

For Type B:

[tex]Height = 48+ 25 * x[/tex]

[tex]Height = 48+ 25x[/tex]

To get when their height will be equal, we simply equate both expressions:

[tex]48+ 25x = 120 + 19x[/tex]

Collect Like Terms

[tex]25x - 19x= 120 - 48[/tex]

[tex]6x= 72[/tex]

Solve for x

[tex]x = 72/6[/tex]

[tex]x = 12[/tex]

Hence, It'll take 12 years

Answer:

its 6

Step-by-step explanation:

hope it helps......

Answer:

A

Step-by-step explanation:

-4x+5y=10. -4x+5y=10. -4x+5y=10

x-intercept: (7,0), y-intercept: (0,-3). Therefore, the correct answer is option B.

The given equation of a line is 3x-7y=21.

The x-intercept is the value of the x-coordinate of a point where the value of y-coordinate is equal to zero.

When y=0, we get

3x-7(0)=21

3x=21

x=7

So, the x-intercept is (7, 0)

The y-intercept is the value of the y-coordinate of a point where the value of x-coordinate is equal to zero.

When x=0, we get

3(0)-7y=21

0-7y=21

y=-3

So, the y-intercept is (0, -3)

Therefore, the correct answer is option B.

Learn more about the x-intercept here:

https://brainly.com/question/14180189.

#SPJ6

Answer:

3

Step-by-step explanation:

Answer:

11.25

Step-by-step explanation:

Answer:

it's 11.25 % . I thik it is helpfull right?

By the Pythagorean Theorem, the lengths of the sides of a triangle satisfy [tex]a^2+b^2=c^2[/tex] if the triangle is a right triangle (in which case the angle between sides a and b is the right angle).

Given:

The value is [tex]\log_90.877[/tex].

To find:

The logarithm to four decimal places using the change of base rule.

Solution:

We have,

[tex]\log_90.877[/tex]

Using the change of base rule, we get

[tex]\log_90.877=\dfrac{\log_{10}0.877}{\log_{10}9}[/tex]      [tex][\because \log_yx=\dfrac{\log_ax}{\log_ay}][/tex]

[tex]\log_90.877=\dfrac{-0.057000}{0.9542425}[/tex]

[tex]\log_90.877=-0.0597332439081[/tex]

Round the value to the four decimal places.

[tex]\log_90.877\approx -0.0597[/tex]

Therefore, the required value is -0.0597.

Answer:

A

Step-by-step explanation:

I found the answer

Answer:

Sorry ♥️

Step-by-step explanation:

Idg but do sorry I hope get well soon❤

Answer: Ugh

Step-by-step explanation:

Step-by-step explanation:

here's ..............the answers

Answer:

(5,2)

Step-by-step explanation:

Answer:  $24,582 I believe

Answer:

[tex](3.4)[/tex]

Step-by-step explanation: