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3 years ago

Observe the expression below and select the true statement(s). 3y(7 + 2x) + 9xy - 10

Mathematics

1 answer:

Sedaia [141]3 years ago

6 0

Answer:

The "3y" in the first term is a factor

The "9" in the second term is a coefficient

The "(7 + 2x)" in the first term is a factor

Step-by-step explanation:

Given in the question an expression

3y(7 + 2x) + 9xy - 10

The coefficients are the numbers that multiply the variables, x and y.

<h3>Example</h3>

6 is coefficient

2.Constants are terms without variables

<h3>Example</h3>

3.The factors in a mathematical expression are parts of the expression that are connected with multiplication.

<h3> Example</h3>

(4x+1)(3x+7)

(4x+1) and (3x+7) both are factors

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The radius of the large sphere is double the radius of the small sphere.

Vlad [161]

Answer:

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Remember that all the spheres are similar

Let

z ----> the scale factor

V_1 ---> the volume of the large sphere

V_2 ---> the volume of the small sphere

$z^3=\frac{V_1}{V_2}$

<em>Find the scale factor</em>

we know that

The radius of the large sphere is double the radius of the small sphere

The scale factor is 2

$z=2$

substitute the value oz z

$z^3=\frac{V_1}{V_2}$

$2^3=\frac{V_1}{V_2}$

$8=\frac{V_1}{V_2}$

$V_1=8V_2$

The volume of the large sphere is 8 times the volume of the small sphere

8 0

4 years ago

Read 2 more answers

[6] Jessica sold one third of her records and then bought 84 more. She now has 178 records. How many records did Jessica begin w

tia_tia [17]

Answer:

141 records

Step-by-step explanation:

Let the initial number be x

x - 1/3x = 2/3x

<u>Bought 84 more and now got 178:</u>

2/3x + 84 = 178
2/3x = 94
x = 94 ÷ 2/3
x = 94 × 3/2
x = 141

Jessica had 141 records initially

7 0

3 years ago

The angles in a triangle are in the ratio 1 : 2 : 3.

vekshin1

Answer:

yes

Step-by-step explanation:

6 0

3 years ago

Please help... How many odd perfect squares are between 5 and 211?

frez [133]

Answer:

we conclude that the total number of perfect odd squares between 5 and 211 will be: 6

Step-by-step explanation:

Let us check by taking squares

3² = 9

5² = 25

7² = 49

9² = 81

11² = 121

13² = 169

As taking 14² = 256 would exceed 211, and 1² = 1 is smaller than 5.

Therefore, we conclude that the total number of perfect odd squares between 5 and 211 will be: 6

8 0

3 years ago

Which equation represents a line that has a slope of 3/4 and passes through the point (2;1)?

omeli [17]

Answer:

Step-by-step explanation:

m = 3/4

x1 = 2

y1 = 1

Using the formula,

y - y1 = m(x - x1)

y - 1 = 3/4(x - 2)

y - 1 = 3x/4 - 3/2

y = 3x/4 -3/2 + 1

y = 3x/4 - 1/2 (×4)

4y = 3x - 2

Therefore, the answer is B

8 0

3 years ago