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2 months ago

Find 10-3. Write the subtraction fact two ways.

1 answer:

4 0

This is an exercise in fact families. A fact family consists of four related facts: two addition sentences and two subtraction sentences. The task asks for the subtraction fact written two ways.

$10-3$
First way. Start with 10 objects—imagine 10 triangles:

Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ

If you remove 3 triangles, how many remain? Seven remain:
Δ Δ Δ Δ Δ
Δ Δ

So subtracting 3 from 10 gives:
$10-3=7$

Second way. Again begin with the same 10 triangles:Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ

This time remove 7 triangles; the leftovers are 3:
Δ Δ Δ

Thus subtracting 7 from 10 yields:
$10-7=3$

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A plane ticket barcelona costs £175 the price decreases by 6% work out the new price

Svet_ta [12734]

Answer: £164.50

Reducing 175 by 6% results in 164.5.

The absolute change is:

164.5 - 175 = -10.5

Step-by-step explanation:

The calculation is as follows:

175 - Percentage decrease =

175 - (6% × 175) =

175 - 6% of 175 =

(1 - 0.06) × 175 =

0.94 × 175 =

94 ÷ 100 × 175 =

94 × 175 divided by 100 =

16,450 ÷ 100 =

164.5

So, the final amount is £164.50

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1 month ago

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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x4 – 2x2 – 3x + 4?

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The correct option is the first one - refer to the image for the solution:

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1 month ago

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A hot air balloon descends to the ground. The function a(t) = 210 – 15t can be used to describe the altitude of the balloon as i

tester [12383]

a(t) = 210 - 5t

(1) What does t represent?

Since t is given in minutes, it stands for time.

Interpreting t as the balloon’s altitude is incorrect since a(t) represents altitude.

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Time elapsed since the balloon starts descending

This is the correct interpretation.

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Time for the balloon to reach ground level is incorrect because that would be a fixed moment, not a variable t.

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(2) What does a(t) represent?

The balloon’s altitude

This is the correct answer.

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Time since descent began is incorrect because that is represented by t.

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Time to reach the ground is inaccurate since a(t) is altitude, not time.

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(3) What does a(5.5) signify?

It does not represent the time to reach 5.5 feet altitude.

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The altitude of the balloon after 5.5 minutes

This is the correct interpretation since a(5.5) is altitude when t = 5.5 minutes.

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It is not the time needed to reach the ground.

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5.5 minutes alone is not correct because a(t) denotes altitude, not time.

a(5.5) refers to altitude at t = 5.5 minutes.

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2 months ago

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Which function has no horizontal asymptote? F (x) = StartFraction 2 x minus 1 Over 3 x squared EndFraction f (x) = StartFraction

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Response:

$f(x)=\frac{2x^2}{3x-1}$

Detailed explanation:

The function $f(x)=\frac{2x-1}{3x}$ features a horizontal asymptote which is $y=\frac{2}{3}$

The function $f(x)=\frac{x-1}{3x}$ presents a horizontal asymptote which is $y=\frac{1}{3}$

One function $f(x)=\frac{2x^2}{3x-1}$ lacks a horizontal asymptote because the degree of its numerator surpasses that of the denominator,

The function $f(x)=\frac{3x^2}{x^2-1}$ displays a horizontal asymptote which is $y=3$

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1 month ago

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A photographer sells large photos for $27 profit and small photos for an $11 profit.This past year,she sold 126 photos and made

Leona [12618]

Answer:

The photographer sold 72 small photos and 54 large photos.

Step-by-step explanation:

We can create a system of equations based on the details provided. Let X represent small photos and Z represent large photos.

It is given that the total number of photos sold is 126:

X + Z = 126

Additionally, she generated $2,250 from selling specific amounts of small and large photos, stated as:

$2,250 = $11X + $27Z

From the first equation, we know X=126-Z. Substituting this into the second equation gives:

2,250 = 11(126-Z) + 27Z

2,250 = 1,386 - 11Z + 27Z

2,250 - 1,386 = 16Z

864 = 16Z

Z = 864/16

Z = 54, which indicates the number of large photos sold. To find X:

X = 126 - Z

X = 126 - 54

X = 72, representing the small photos sold.

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1 month ago