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3 years ago

Which of the following fractions is less than 1 options: a) 1 1by4 b) 3/4 c) 5/4 d) 2 3by4

Mathematics

2 answers:

natima [27]3 years ago

8 0

Answer:

Step-by-step explanation:

11/4=2.75

3/4=0.75

5/4=1.25

23/4=5.75

mihalych1998 [28]3 years ago

8 0

Answer:

3/4

Step-by-step explanation:

Proper fractions are less than 1

3/4 is proper fraction.(Numerator less than denominator)

$\dfrac{5}{4}=1\dfrac{1}{4}$

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Write the sentence as an equation.

bearhunter [10]

The solution to a given word problem by writing it as an equation is k = 253/232

<h3>Expressing word problems in mathematical forms:</h3>

The process of expressing word problems in mathematical forms takes a logical and chronological approach while taking the variables and arithmetic operations given into consideration.

From the given information, to express the word problem in mathematical form, we have:

253 = 232 × k
253 = 232k

Making k the subject of the equation, we have:

k = 253/232

Learn more about expressing word problems here:

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2 years ago

The equation h(t) = -16t² + 80t + 64 represented the height, in feet, of a potato t seconds after it has been launched.

Lyrx [107]

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

we have

$h(t)=-16t^2+80t+64$

where

h(t) is the height of a potato in feet

t is the time in seconds

Part A) Write an equation that can be solved to find when the potato hits the ground. Then solve the equation

we know that

When the potato hit the ground, the value of h(t) must be equal to zero

For h(t)=0

$-16t^2+80t+64=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+80t+64=0$

$a=-16\\b=80\\c=64$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(64)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{10,496}} {-32}$

$t=\frac{-80+\sqrt{10,496}} {-32}=-0.70$

$t=\frac{-80-\sqrt{10,496}} {-32}=5.70$

therefore

The potato hit the ground at t=5.70 seconds

Part B) Write an equation that can be solved to find when the potato is 40 feet off the ground. Then solve the equation

For h(t)=40 ft

substitute in the quadratic equation

$-16t^2+80t+64=40$

$-16t^2+80t+24=0$

Solve the quadratic equation

we have

$a=-16\\b=80\\c=24$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(24)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{7,936}} {-32}$

$t=\frac{-80+\sqrt{7,936}} {-32}=-0.28$

$t=\frac{-80-\sqrt{7,936}} {-32}=5.28$

therefore

The potato is 40 feet off the ground at the time t=5.28 seconds

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3 years ago

Complete the table for the given rule. Rule: y=x-1/4

mash [69]

Answer:

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Step-by-step explanation:

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3 years ago

Find the 7th term of the geometric sequence –4, 12, –36, 108, –324,...

maks197457 [2]

Answer:

Step-by-step explanation:

a=-4 r=12/-4=-3

T7= ar^n-1

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5 0

3 years ago

Is the difderence of 1.48-0.25 less than or greater than one? Explain

luda_lava [24]

Greater than 1.Because 1.25-0.25=1.23.That's it.

6 0

4 years ago

Read 2 more answers