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2 years ago

13

If a number is divided by 3 or 5, the remainder is 1. If it is divided by 7, there is no remainder. What number between 1 and 10

0 satisfies the above conditions?

1 answer:

arlik [135]2 years ago

5 0

Answer:

91

Step-by-step explanation:

Look at multiples of 7 and you’ll find 91.

91 dived by 3 is 30 with a remainder of 1.

91 divided by 5 is 18 with a remainder of 1.

91 divid by 7 is 13 with no remainder.

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Please help me find the slope of the line !!

LenaWriter [7]

The slope of the line is 3/2. That would be letter B. You take two points from the graph and subtract them from each other to find the slope. Hope this helps!

3 0

2 years ago

Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with

yan [13]

Answer:

<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>

<em></em>

Step-by-step explanation:

Given:

Two square pyramids A and B.

Side Length of A, $s_A =$ 12 inches

Height of A, $h_A =$ 8 inches

Side Length of B, $s_B =$ 48 inches

Height of B, $h_B =$ 32 inches

To find:

How many times bigger is the volume of pyramid B than pyramid A?

OR

$V_B$ is how many times bigger than $V_A$ ?

Solution:

First of all, let us have a look at the formula for volume of a pyramid:

$V=\dfrac{1}{3} \times \text{Area of Base} \times \text{Height}$

Here, base is square, so:

$V=\dfrac{1}{3} \times s^2 \times h$

Volume of pyramid A:

$V_A=\dfrac{1}{3} \times s_A^2 \times h_A$

$\Rightarrow V_A=\dfrac{1}{3} \times 12^2 \times 8 = 384\ inch^3$

Volume of pyramid B:

$V_B=\dfrac{1}{3} \times s_B^2 \times h_B$

$\Rightarrow V_B=\dfrac{1}{3} \times 48^2 \times 32 \\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 4^2 \times 4\\\Rightarrow V_B=\dfrac{1}{3} \times 12^2 \times 8 \times 64\\\Rightarrow V_B= 24576\ inch^3 = 384\times 64\ inch^3\\\Rightarrow V_B = V_A\times 64\ inch^3$

<em>The volume of pyramid B is 64 times the volume of pyramid A.</em>

3 0

2 years ago

The median number of students in each music class is 9 people.

Alenkasestr [34]

If the list is of numbers of students in each music class, and if their median is supposed to be 19, then the blank must represent the number 18. The number must be lower than 20, and must be 19 when averaged with 20. Its value must be ...
2*19 - 20 = 18

_____
Altogether there are 6 numbers, so the median (19) will be the average of the middle two. Three of the numbers are more than 19, so the other three must be less than 19. The lowest of the upper 3 numbers is 20, so 19 must be the average of 20 and the missing number, which must be 18.

7 0

2 years ago

A baker purchased 12 lb of wheat flour and 15 lb of rye flour for a total cost of $18.30. A second purchase at the same prices,

vivado [14]

12w+15r=18.30 /*2
15w+10r=16.75 /*3

24w+30r=36.60, subtract this equation from the other one
45w+30r=50.25

21w=13.65
w=13.65/21
w=0.65 is a cost per pound for wheat flour

From the first equation we have
r=(18.30-12w)/15
r=(18.30-12*0.65)/15
r=0.70 is a cost per pound for rye flour

3 0

2 years ago

Consider the arithmetic sequence 13, 24, 35, ....

MArishka [77]

Answer:

The explicit form for the sequence is: $a_{n}=13+(n-1)(11)$

Step-by-step explanation:

In order to find an explicit form for the given sequence, you have to use the definition of arithmetic sequence and the <em>explicit formula</em>.

An arithmetic sequence is defined as a sequence where the difference of two consecutive terms is a constant.

The <em>explicit formula </em>is:

$a_{n}=a_{1} + (n-1)d$

Where a1 is the first term, d is the common difference and an is the nth term of the sequence.

You have to subtract two consecutive terms to obtain d:

24-13= 11

35-24=11

Therefore d=11

In this case a1=13

Replacing in the formula:

$a_{n}=13+(n-1)(11)$

8 0

2 years ago