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3 years ago

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When creating vases for the craft fair, Thomas used the proportion 3 pounds of clay is to 8 vases as 9 pounds of clay is to 24 v

ases. Which proportion can be used to represent the situation? StartFraction 3 over 8 EndFraction = StartFraction 24 over 9 EndFraction StartFraction 3 over 8 EndFraction = StartFraction 9 over 24 EndFraction StartFraction 3 over 9 EndFraction = StartFraction 24 over 8 EndFraction StartFraction 9 over 3 EndFraction = StartFraction 8 over 24 EndFraction

2 answers:

Elodia [21]3 years ago

5 0

Answer:

Answer:

4/24

Step-by-step explanation:

Because 1/6 is 4/24 simplified.

To prove this, all you have to do is try simplifying 4/24 yourself. To do that, we are going to use 4 to divide both the numerator and the denominator because 4 is a common factor of 4 and 24.

(To simplify a fraction, you divide both the numerator and denominator by a common factor)

So 4 divided by 4 is 1, and 24 divided by 4 is 6

1/6

99% sure im right ;)

Otrada [13]3 years ago

5 0

Answer: the answer is 3 9

___ = ___

8 24

Step-by-step explanation: i just took the test hope it helps:)

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Which linear inequality is represented by the graph? (A)y ≤1/3 x − 1 (B)y ≥ x − 1 (C)y < 3x − 1 (D)y > 3x − 1

lubasha [3.4K]

The equation of the line is $\boxed{y \geqslant \frac{1}{3}x - 1}.$

Further explanation:

The linear equation with slope $m$ and intercept $c$ is given as follows.

$\boxed{y = mx + c}$

The formula for slope of line with points $\left( {{x_1},{y_1}} \right)$ and $\left( {{x_2},{y_2}} \right)$ can be expressed as,

$\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}$

Given:

Explanation:

The line intersects y-axis at $\left( {0, - 1} \right)$ . Therefore, the y-intercept is $-1.$

The line passes through the points $\left( {0, - 1} \right)$ and $\left( {3,0} \right).$

The slope can be obtained as follows,

$\begin{aligned}m&= \frac{{0- \left( {- 1} \right)}}{{3 - 0}}\\&= \frac{1}{3}\\\end{aligned}$

Substitute $\dfrac{1}{3}$ for m, $3$ for $x$ and $0$ for $y$ in equation $y = mx + c$ to obtain the value of $c$ .

$\begin{aligned}0& \frac{1}{3} \cdot 3 + c\\- 1&=c\\\end{aligned}$

To check whether the equation includes origin substitute 0 for x and 0 for y in equation $y \geqslant \dfrac{1}{3}x - 1.$

$\begin{aligned}0&\geqslant \frac{1}{3} \times 0 - 1 \\0&\geqslant - 1\\\end{gathered}$

The statement is true. The equation contains origin.

The equation of the line is $\boxed{y \geqslant \frac{1}{3}x - 1}.$

Learn more:

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers,slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

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3 years ago

Read 2 more answers

The difference of three times a number and 16 is at least 8

RoseWind [281]

3n-16<8
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n<8
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3 years ago

Suki rode her bike 6/7 mile. Claire rode her bike 1/3 mile. They want to compare how far they each rode their bikes using benchm

Licemer1 [7]

Answer:

6/7 > 1/2

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Suki rode her bike a longer distance than Clarie

Step-by-step explanation:

Suki's distance = 6/7 miles

Compare with bechmark 1/2

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Make the denominators same

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12/14 is greater than 7/14

12/14 > 7/14

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Compare with bechmark 1/2

1/3 and 1/2

Make the denominators same

(1*2)/(3*2) and (1*3)/(2*3)

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2/6 is less than 3/6

2/6 < 3/6

Therefore,

1/3 < 1/2

Compare Suki's distance with Clarie

compare 6/7 and 1/3

Make the denominators same

(6 * 3)/(7 * 3) and (1 * 7)/(3 * 7)

18/21 and 7/21

18/21 > 7/21

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Answer:

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3 years ago

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vampirchik [111]

Answer:

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3 years ago