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Lelu [443]
3 years ago
9

Peter collected soup for the food pantry he packed 6 small boxes n cans of soup in each box. he packed 4 boxes as twice as many

cans as in the small boxes. Write and simplify an expression for the numbers cans that Peter Packed.
Mathematics
1 answer:
muminat3 years ago
5 0
Lets write an equation with the information provided in the problem:
6n
that is 6 small boxes with n cans of soup in each
4(2n)
that is 4 boxes with as twice as many cans as in the small
So for the small boxes he has 6n cans
and for the bigger boxes he has 4*2n = 8n cans
therefore in total he has:
6n + 8n = 14n cans
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Which of the following is a geometric sequence?
anastassius [24]

The key thing to look for to determine whether a sequence is geometric is to see whether the ratio between consecutive terms - the number I would multiply one term by to get the next - is constant.

By inspection, we see that the fourth answer choice satisfies that, as \frac{81}{27}=\frac{27}{9}=\frac{9}{3}=\frac{3}{1}=3. Why not the first? We have 2=\frac{12}{6}\ne\frac{6}{2}=3.

The third choice is not a geometric sequence, but rather an arithmetic sequence, where the difference between consecutive terms is constant. Just to make sure that it isn't geometric, we compute \frac{14}{9}\ne\frac{9}{4}.

The second sequence is not geometric (although it does eventually converge to 1, but not its corresponding series), as \frac{4}{3}=\frac{2/3}{1/2}\ne\frac{3/4}{2/3}=\frac{9}{8}.

8 0
4 years ago
The circumference of a circular region is shown. What type of number best describes the diameter of the
lakkis [162]
Yes is would the diameter of -1 mile east of the integer
6 0
4 years ago
Using the linear equation, y = mx +b and solve for B<br> (7,1)(-12,-6)
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

first we need to find the slope bu using the slope formula and ur two sets of points

slope = (y2 - y1) / (x2 - x1)

(7,1)...x1 = 7 and y1 = 1

(-12,-6)....x2 = -12 and y2 = -6

now we sub

slope = (-6 - 1) / (-12 - 7) = -7/-19 = 7/19

now...in y = mx + b form, the slope will be in them position

y = mx + b

slope(m) = 7/19

use either of ur points.....(7,1)...x = 7 and y = 1

now we sub and find b, the y int

1 = 7/19(7) + b

1 = 49/19 + b

1 - 49/19 = b

19/19 - 49/19 = b

- 30/19 = b <======= ur y int

so ur equation is : y = 7/19x - 30/19

8 0
4 years ago
In the figure below, quadrilateral EFHJ is a parallelogram, and triangle FGH is a scalene right triangle.
DiKsa [7]

Answer:

A

Step-by-step explanation:

In a parallelogram the opposite angles are congruent, thus

∠ JHF = ∠ JEF = 142°

∠ JHF and ∠ FHG are adjacent angles and are supplementary, thus

∠ FHG = 180° - 142° = 38°

The sum of the 3 angles in a triangle = 180° , thus

∠ HFG = 180° - (90 + 38)° = 180° - 128° = 52° → A

3 0
3 years ago
20 points.<br><br> Round off x to the nearest tenth.
Valentin [98]

Answer:

x=15.3

Step-by-step explanation:

In right triangles only:

The sine of an angle is equal to its opposite side divided by the hypotenuse. (o/h)

The cosine of an angle is equal to its adjacent side divided by the hypotenuse. (a/h)

The tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)

Therefore, we have the following equation:

\sin 58^{\circ}=\frac{x}{18},\\x=18\sin 58^{\circ}\approx \boxed{15.3}

Alternative:

\cos 32^{\circ}=\frac{x}{18},\\x=18\cos32^{\circ}\approx \boxed{15.3}

3 0
3 years ago
Read 2 more answers
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