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Nikolay [14]
3 years ago
14

Compare each whole number in the following pairs. Insert the symbol < or > to make the statement true. a. 15 _____ 8 b. 4

_____ 134 c. 3 _____ 5 d. 351 _____ 215 Replace each ? with the symbol = or ≠ to make the statement true. a. 54 ? 53 b. 8 ? 4 + 4 c. 23 + 6 ? 6 + 23 d. 64 ? 99 Compare the fraction by using the symbol < , <, or =. a. 4⁄9 _____ 5⁄9 b. 4⁄5 _____ 8⁄10 c. 7⁄12 _____ 7⁄15 d. 3⁄4 _____ 6⁄7 Compare the decimals by using the symbol < or >. a. 0.531 _____ 0.456 b. 0.63 _____ 0.47 c. 0.267 _____ 0.539 d. 0.07 _____ 0.7 In each of the following pairs of numbers, how much larger is the first number than the second? a. 154 and 27 b. 25 and 12 c. 135 and 127 d. 46 and 24 Phyllis has finally found the TV she wants to buy. At Store A, the TV costs $498. At Store B, the same style TV costs $425. How much will Phyllis save by buying the TV at Store B? Both Dale and Chan went running for an hour. Dale ran 5 miles and Chan ran 2.5 miles. How did Dale’s distance compare to Chan’s? (Use division to compare.) Compare the numbers in the following sequence and try to determine what the next number should be. 6, 9, 18, 21, 42, 45, ?
Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0
Insert the symbol < or > to make the statement true.
a) >
b) <
c) <
d) >

Replace each ? with the symbol = or ≠ to make the statement true.
a) ≠
b) =
c) =
d) ≠
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The right rectangular prism is made up of 48 cubes. Each cube has an edge length of inch. What is the volume of this prism?
Gnesinka [82]

Given:

  • The right rectangular prism is made up of 48 cubes.
  • Each cube has an edge length of 1/4 inch.

~

To Find:

  • What is the volume of this prism?

~

Solution:

~

<u>Using formula: </u>

~

  • \sf \pmb {Volume  \: of \:  cube =  {(side)}^{3} }

~

Substituting values in the formula:

~

\sf \longrightarrow  \dfrac{1}{4}  \times  \dfrac{1}{4}  \times  \dfrac{1}{4}

\sf \longrightarrow \dfrac{1}{64}  \:  {inch}^{3}

~

Now,

Volume of 48 such cubes = Volume of 1 cube × 48 cubes

~

\sf \longrightarrow \dfrac{1}{64}  \times 48

\sf \longrightarrow \dfrac{48}{64}

\sf \longrightarrow \dfrac{3}{4}  \:  {inch}^{3}

~

Hence,

  • Volume of prism is <u>3/4 inch^3</u>
7 0
2 years ago
One way to show that a statement is not a good definition is to find a
guapka [62]

counterexaple

i hope it helps

4 0
3 years ago
Determine whether y^2=−3x−2 is a function.
Paladinen [302]

Answer:

y=3x-2 is a function because it passes the vertical line test.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
12) The school that Danielle goes to is selling tickets to a choral performance. On the first day of
kicyunya [14]

Answer:

Senior citizen tickets = $9

Student tickets = $11

Step-by-step explanation:

We begin by converting these into simultaneous linear equation;

Senior citizen tickets = a

Student tickets = b

5a + 9b = 144

14a + 6b = 192

5a = 144 - 9b

a = 144/5 - 9b/5

a = 28.8 - 1.8b

We now substitute this into the first equation

14(28.8 - 1.8b) + 6b = 192

403.2 - 25.2b +6b = 192

-19.2b = 192 - 403.2

b = -211.2/-19.2

b = 11

Put the value of b into either equation

5a + 9b = 144

5a + 9(11) = 144

5a +99 = 144

5a = 144-99

5a = 45

a = 9

6 0
3 years ago
Using the binomial theorem, expand the expression (4 + y) to the power of 4
Flauer [41]

Answer:

When raised to the power of 4, the binomial (4 + y) expands to:

y^4 + 16y^3 + 96y^2 + 256y + 256

Step-by-step explanation:

(4 + y)^4 \\= (y^2 + 8y + 16)^2\\= y^4 + 8y^3 + 16y^2 + 8y^3 + 64y^2 + 128y + 16y^2 + 128y + 256\\= y^4 + 16y^3 + 96y^2 + 256y + 256

8 0
3 years ago
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