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2 years ago

8

Find mPMA + mCMT. Please help..

1 answer:

juin [17]2 years ago

8 0

PMA = 37

CMT = 101 - 54 =47

Total = 37 + 47 = 84

Answer: A. 84

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Paul can install a 300 hundred square foot hardwood floor in 18 hours. Matt can install the same floor in 22 hours. How long wou

Vadim26 [7]

ANSWER

Paul and Matt will take
$9.9 \: \: hours$
to install the floor working together.

EXPLANATION

First, calculate Paul's rate, which is

$= \frac{1}{18}$

Next, calculate Matt's rate, which is,
$= \frac{1}{22}$

Let us assume that, Paul and Matt took
$x \: hours$
to do the work together.

Then, the rate of working together is,

$= \frac{1}{x}$

Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.

$\frac{1}{18} + \frac{1}{22} = \frac{1}{x}$

Simplify the left hand side

$\frac{11 + 9}{198} = \frac{1}{x}$

$\frac{20}{198} = \frac{1}{x}$

We reciprocate both sides to get (You could have also done cross multiplication).

$\frac{198}{20} = \frac{x}{1}$

$x = 9.9 \: hours$

7 0

3 years ago

El valor de 2 – 3(5 + 2)(5 – 8) es

Margarita [4]

Answer:

65

Step-by-step explanation:

2 - 3 ( 5 + 2 ) ( 5 - 8 )

= 2 - 3 ( 7 ) ( -3 )

= 2 + 63

= 65

6 0

2 years ago

4. Tristan has a total of 30 dimes & nickels. The total value

adelina 88 [10]

Answer:

x/2 + x = 30 -> $2.50

20/2 + 20 = 30

X = 20, therefore:

dimes = 20

nickels = 10

4 0

3 years ago

Read 2 more answers

What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48?

yKpoI14uk [10]

$a_1=8$
$a_2=a_1+d=8+d$
$a_3=a_2+d=(8+d)+d=8+2d$
$a_4=a_3+d=(8+d)+2d=8+3d$
...
$a_9=8+8d=48\implies d=5$
$a_{10}=8+9d$
...
$a_{23}=8+22d=118$

8 0

3 years ago

Read 2 more answers

Given that P = (-7, 16) and Q = (-8, 7), find the component form and magnitude of vector QP .

Katyanochek1 [597]

Answer:

a)The component form is

$\vec {QP}=\binom{ - 1}{ - 8}$

b)The magnitude is √65

c) <2,14>

Step-by-step explanation:

Recall that:

$\vec {QP}=\vec {OP}-\vec{OQ}$

We substitute the position vectors to get:

$\vec {QP}=\binom{ - 8}{7} - \binom { - 7}{15}$

We subtract the corresponding components to obtain:

$\vec {QP}=\binom{ - 8 - - 7}{7 - 15}$

This gives:

$\vec {QP}=\binom{ - 8 + 7}{7 - 15}$

This simplifies to:

$\vec {QP}=\binom{ - 1}{ - 8}$

The magnitude of a vector in the component form:

$\binom{x}{y}$

is

$\sqrt{ {x}^{2} + {y}^{2} }$

This means:

$|\vec {QP}|= \sqrt{ {( - 1)}^{2} + {( - 8)}^{2} }$

This simplifies to:

$|\vec {QP}| = \sqrt{ 1 + 64 }$

$|\vec {QP}| = \sqrt{ 65 }$

c) We have the vectors u = <4, 8>, v = <-2, 6>.

We want to find:

u+v

This implies that:

u+v=<4,8>+<-2,6>

We add the corresponding components to get;

u+v=<4+-2,8+6>

This simplifies to:

u+v=<2,14>

7 0

3 years ago