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2 years ago

10

Sam read 6 chapters in 2 hours. If he continues to read at this same rate, how many chapters will he read in 1 day?

1 answer:

Vilka [71]2 years ago

3 0

Answer:

He will read 72 chapters in 1 day

Step-by-step explanation:

Let us use the ratio method to solve this question

∵ Sam read 6 chapters in 2 hours

∵ He continues to read at this same rate for 1 day

→ We must change the day to hours

∵ 1 day = 24 hours

∴ We need to find how many chapters he will read in 24 hours

→ Chapter : Hour

→ 6 : 2

→ x : 24

→ By using cross multiplication

∵ x × 2 = 6 × 24

∴ 2x = 144

→ Divide both sides by 2

∵ $\frac{2x}{2}$ = $\frac{144}{2}$

∴ x = 72

∴ He will read 72 chapters in 1 day

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Which of the following is the absolute value parent function

Keith_Richards [23]

The absolute parent function is |X|.

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2 years ago

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What is the 32nd term of the arithmetic sequence where a1 = 12 and a13 = -60

Olin [163]

Answer:

The 32nd term of Arithmetic sequence is -174

Step-by-step explanation:

Given: $a_1=12, a_{13}=-60$

We are given two term of the Arithmetic sequence.

Formula:

$a_n=a+(n-1)d$

For $a_1=12$

$a=12$

For $a_{13}=-60$

$a+12d=-60$

Using two equation solve for a and d

$12+12d=-60$

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$d=-6$

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$a_{32}=12-186$

$a_{32}=-174$

Hence, The 32nd term of Arithmetic sequence is -174

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2 years ago

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100m In 9 3/5 seconds

Nostrana [21]

Answer:

Speed = 10.42 m/secs

Step-by-step explanation:

We have been given with:-

Distance = 100m

Time taken = 9 $\frac{3}{5}$ secs

1) First, we need to convert the mixed number 9 $\frac{3}{5}$ to an improper fraction.

<u>Method to convert a mixed number to an improper fraction</u>

<u> $a\frac{b}{c} = \frac{c*a+b}{c}$ </u>

Applying the above formula, we get

9 $\frac{3}{5}$ = $\frac{5*9+3}{5}$

= $\frac{45+3}{5}$

= $\frac{48}{5}$

2) Now we need to convert $\frac{48}{5}$ into a decimal by dividing 48 by 5.

We get time taken as 9.6 secs

3) We need to find the speed using the below formula:-

Speed = $\frac{Distance}{Time taken}$

Plugging the values of Distance and Time taken into the formula, we get

Speed = $\frac{100}{9.6}$

= 10.416 m/secs

4) Upon rounding it to the nearest hundredth, we get

Speed = 10.42 m/secs

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2 years ago

Write the fraction as the product of a whole number and. Unit fraction 2/5

zavuch27 [327]

Answer:

I don't know exactly what you mean but I think the answer is<u> .4</u>

Step-by-step explanation:

divide 2 and 5

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2 years ago

mihalych1998 [28]

Answer:

$=4.+2.$

Step-by-step explanation:

<u>Linear Combination Of Vectors </u>

One vector $\vec b$ is a linear combination of $\vec a_1$ and $\vec a_2$ if there are two scalars $x_1, x_2$ such as

$\vec b=x_1\vec a_1+x_2\vec a_2$

In our case, all the vectors are given in $R^3$ but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.

We have

$\vec a_1=,\ \vec a2=,\ \vec b=$

We set the equation

$=x_1.+x_2.$

Multiplying both scalars by the vectors

$=+$

Equating each coordinate, we get

$4x_1-4x_2=8$

$5x_1+3x_2=26$

$-4x_1+3x_2=-10$

Adding the first and the third equations:

$-x_2=-2$

$x_2=2$

Replacing in the first equation

$4x_1-4(2)=8$

$4x_1=8+8$

$x_1=4$

We must test if those values make the second equation become an identity

$5(4)+3(2)=20+6=26$

The second equation complies with the values of $x_1$ and $x_2$ , so the solution is

$=4.+2.$

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2 years ago