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3 years ago

Solve 1 third of 18 using a tape diagram

Mathematics

1 answer:

Sedbober [7]3 years ago

5 0

Draw a tape diagram and make 18 sections on the diagram. Shade in the first section and that’s 1/18

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Match each equation on the left to the mathematical property it uses on the right.

erma4kov [3.2K]

Answer:

The answer to your question is:

Step-by-step explanation:

(4 + 5) + 2 = 4 + (5 + 2) Associative property of addition

2(2x + 4) = 4x + 8 Distributive property

( 7 x ) 3 = 7 (x 3) Associative property of multiplication

( 8 x 2) = (x 8 2) Commutative property of multiplication

( 7 + 3) + 1 = 1 + (7 + 3) Commutative property of addition

6 0

3 years ago

Read 2 more answers

Barton spring pools charges $2 a visit plus a fee of $20.90 a month. Blue Danube Pool charges $2.95 a visit, with no membership

g100num [7]

Answer:

Step-by-step explanation:

I honestly don’t know sorry

8 0

3 years ago

A juggler tosses a ball into the air . The balls height, h and time t seconds can be represented by the equation h(t)= -16t^2+40

malfutka [58]

PART A

The given equation is

$h(t) = - 16 {t}^{2} + 40t + 4$

In order to find the maximum height, we write the function in the vertex form.

We factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + 4$

We add and subtract

$- 16(- \frac{5}{4} )^{2}$

to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + - 16( - \frac{5}{4})^{2} - -16( - \frac{5}{4})^{2} + 4$

We again factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4})^{2} ) - -16( - \frac{5}{4})^{2} + 4$

This implies that,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4}) ^{2} ) + 16( \frac{25}{16}) + 4$

The quadratic trinomial above is a perfect square.

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +25+ 4$

This finally simplifies to,

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +29$

The vertex of this function is

$V( \frac{5}{4} ,29)$

The y-value of the vertex is the maximum value.

Therefore the maximum value is,

$29$

PART B

When the ball hits the ground,

$h(t) = 0$

This implies that,

$- 16 ( t- \frac{5}{4}) ^{2} +29 = 0$

We add -29 to both sides to get,

$- 16 ( t- \frac{5}{4}) ^{2} = - 29$

This implies that,

$( t- \frac{5}{4}) ^{2} = \frac{29}{16}$

$t- \frac{5}{4} = \pm \sqrt{ \frac{29}{16} }$

$t = \frac{5}{4} \pm \frac{ \sqrt{29} }{4}$

$t = \frac{ 5 + \sqrt{29} }{4} = 2.60$

or

$t = \frac{ 5 - \sqrt{29} }{4} = - 0.10$

Since time cannot be negative, we discard the negative value and pick,

$t = 2.60s$

8 0

3 years ago

In the table below, x represents the miles traveled and y represents the cost to travel by train.

Fudgin [204]

Answer:

2.25

Step-by-step explanation:

to find slope it is (y2-y1)/(x2-x1)

(15.25-8.50)/(5-2)

6.75/3

2.25 is the slope

3 0

3 years ago

Read 2 more answers

There are 6 roses, 8 carnations, and 12 tulips. Write the ratio of carnations to all flowers in all three forms (simplify first,

Norma-Jean [14]

Your answer is 8 to 26

the number of carnations is 8 and the total number of flowers is 26. since you said carnations to flowers it is 8 to 26.

here are the 3 ways to write the ratio:

8 to 26 8:26 8/26

3 0

3 years ago