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3 years ago

Select the correct answer.

Mathematics

1 answer:

steposvetlana [31]3 years ago

4 0

Answer:

v = -2i - 20j

Step-by-step explanation:

Vector v is < 19 - 21, -8 - 12 >, or < -2, -20 >. If the magnitude of u is five times that of v, then u = 5 · < -2, -20 >, or < -10, -100 >.

In summary, vector u is < -10, -100 > and vector v is < -2, -20 >.

In other words, vector v = -2i - 20j. vector u is not needed here.

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Which shows the correct way to use the rule ""multiply by the reciprocal"" for the expression below? 7 divided by StartFraction

guajiro [1.7K]

Given:

The expression is $\dfrac{7}{\frac{5}{8}}$ .

To find:

The shows the correct way to use the rule ""multiply by the reciprocal"" for the given expression.

Solution:

According to the rule "multiply by the reciprocal", if a,b,c,d are four number, then

$\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}$

We have,

$\dfrac{7}{\frac{5}{8}}$

It can be written as

$\dfrac{7}{\frac{5}{8}}=\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}$

Using the rule "multiply by the reciprocal", we get

$\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7}{1}\times \dfrac{8}{5}$

$\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7\times 8}{1\times 5}$

$\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{56}{5}$

Therefore, the correct option is D.

5 0

3 years ago

Read 2 more answers

Emma borrowed $89.40 from her sister. She determines that she can pay her back the total over six months. Which number reflects

omeli [17]

Answer:

$14.9

Step-by-step explanation:

Step one:

given data

we are told that Emma borrowed $89.40 from her sister to pay her back in 6 months.

let us solve for the amount she is to pay her sister every month.

amount to be paid per month= 89.40/6

=$14.9

So that every month she pays back her sister $14.9

we don't know her balance but every month there will be a deduction.

Hence the monthly change in her balance is reflected by a deduction of $14.9

5 0

3 years ago

Solve the inequality −8 ≤ z + 6.4

drek231 [11]

Answer:

-14.4<or=z

Step-by-step explanation:

-8-6.4or = z+6.4-6.4

-14.4_<z

5 0

2 years ago

PLEASE HELP ME -45= -2.5g

Rainbow [258]

Answer:

g=18

Step-by-step explanation:

Isolate the variables by dividing each side by -2.5.

5 0

3 years ago

Read 2 more answers

If the first number is increased by 7 and the second number is reduced by 6 times, the sum of these numbers is 29.

Marta_Voda [28]

Answer:

First number = 20

Second number = 12

Explanation:

Let the 1st number be x

Let the 2nd number be y

=====================

Condition 1

$\sf \rightarrow x + 7 + \dfrac{y}{6} = 29$

$\rightarrow \sf x=-\dfrac{y}{6}+22$

=====================

Condition 2

$\rightarrow \sf 2y - (x - 5) = 9$

$\rightarrow \sf x = 2y -4$

=====================

Substitute equations

$\rightarrow \sf -\dfrac{y}{6}+22 = 2y-4$

$\rightarrow \sf y=12$

=====================

Find value of 1st number

$\rightarrow \sf x = 2y - 4$

$\sf \rightarrow x = 2(12) - 4$

$\rightarrow \sf x = 20$

7 0

2 years ago

Select the correct answer.​

Select the correct answer.