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3 years ago

The sum of t and 7 is less than -3

Mathematics

2 answers:

ipn [44]3 years ago

6 0

Answer:

t+7<3

Step-by-step explanation:

kinda meaning like t is a number less than 3 that when added to three the outcome would be 7 (thanks and sorry)

dimulka [17.4K]3 years ago

4 0

if your asking for the equation, it's t + 7 < 3

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The two rectangular prisms are similar. What is the volume of the larger rectangular prism? 240 cm³ 540 cm³ 1620 cm³ 3240 cm³ A

Andreas93 [3]

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

<h3>How to calculate volume of a rectangular prism?</h3>

If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as

$V = a \times b \times c \: \rm unit^3$

<h3>What are similar figures?</h3>

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

$60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12$

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

$15 \times 3 \times b \times 3 \times c = 135 \times b\times c = 135 \times 12 = 1620 \: \rm cm^3$

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

Learn more about volume of rectangular prism here:

brainly.com/question/21308574

5 0

2 years ago

A recipe that serves two people calls for 1,600 milligrams of baking soda. You want to make enough for 10 people. How much bakin

Marta_Voda [28]

10/2=5
5 x 1600 = 8000 milligrams
= 8 grams

8 0

3 years ago

Read 2 more answers

Compare.<br> 1 and a half hours<br><br> 100 minutes

xz_007 [3.2K]

Answer:

1 and a half hours < 100 mins

Step-by-step explanation:

1 and a half hours is equal to :

1 hour = 60 mins

half hour = 30 mins

60 + 30 = 90 mins

90 min is less than 100 mins

Therefore / ∴ :

1 and a half hours < 100 mins

6 0

2 years ago

Read 2 more answers

5. Given (x + 1) and (x-3) are factors of P(x) = x4-5x³-7x² + cx + d. Determine the values

Iteru [2.4K]

By concepts of polynomials and systems of linear equations, the constants c and d of the expression p(x) = x⁴ - 5 · x³ - 7 · x² + c · x + d are 29 and 30.

<h3>How to determine the missing coefficients of a quartic equation</h3>

A value x is a root of a polynomial if and only if p(x) = 0. We must replace the given equation with the given roots and solve the resulting system of <em>linear</em> equations:

(- 1)⁴ - 5 · (- 1)³ - 7 · (- 1)² + (- 1) · c + d = 0

- c + d = 1 (1)

3⁴ - 5 · 3³ - 7 · 3² + 3 · c + d = 0

3 · c + d = 117 (2)

The solution of this system is c = 29 and d = 30.

By concepts of polynomials and systems of linear equations, the constants c and d of the expression p(x) = x⁴ - 5 · x³ - 7 · x² + c · x + d are 29 and 30.

To learn more on polynomials: brainly.com/question/11536910

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4 0

2 years ago

what is the ratio for the volumes of two similar spheres given that the ratio of their radii is 4:7 A.)343:64 B.)49:16 C.)16:49

quester [9]

Answer:

Volume of the similar sphere be 64 :343 .

Option (D) is correct.

Step-by-step explanation:

Formula

$Volume\ of\ a sphere = \frac{4}{3}\pi r^{3}$