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3 years ago

15

Which diagram best models 4 x 2/3

1 answer:

Ira Lisetskai [31]3 years ago

5 0

Definitly D..................

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MRS.Bonnette's recipe for banana bread calls for 3 and one fourths cups of sugar. She wants to make 6.5 batches so that she has

densk [106]

Answer:

$21/ \frac {1}{8}$

Step-by-step explanation:

Since we're given that a batch requires 3 and one fourths cups of sugar, this is written as

$3/ \frac {1}{4}$

If she wants 6.5 batches then we just cross multiply

1 batch= $3/ \frac {1}{4}$

6.5 batches=x

X= $6.5\times 3/ \frac {1}{4}$

X= $6/ \frac {1}{2}\times 3/ \frac {1}{4}$

X= $\frac {13}{2}\times \frac {13}{4}$

X= $\frac {169}{8}$

X= $21/ \frac {1}{8}$

6 0

3 years ago

What is the slope of the line that passes through the points (4, 9) and (1, 6)?

Aleksandr [31]

a = ( 1 , 6 )

b = ( 4 , 9 )

$slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\$

Now just need to put the coordinates in the above equation :

$slope = \frac{9 - 6}{4 - 1} \\$

$slope = \frac{3}{3} \\$

$slope = 1$

And we're done...♥️♥️♥️♥️♥️

5 0

3 years ago

Dana says that all even numbers are composite.<br><br> Is she correct?

Ksenya-84 [330]

Answer:

yes

Step-by-step explanation:

all even numbers greater than two are composite numbers

8 0

3 years ago

Line AB contains (0,4) and (1,6). Line CD contains points (2,10) and (-1,4). Lines AB and CD are

beks73 [17]

Answer: parallel because the slopes are the same

Step-by-step explanation:

3 0

3 years ago

Use the alternative form of the dot product to find u · v.

vodka [1.7K]

Answer:

Step-by-step explanation:

u = 45

v = 30

Angle between them, θ = 5π / 6 = 150°

(a) The formula for the dot product is given by

$\overrightarrow{u}.\overrightarrow{v}= u v Cos\theta$

$\overrightarrow{u}.\overrightarrow{v}= 45 \times 30 \times Cos150$

$\overrightarrow{u}.\overrightarrow{v}= -1169.13$

(b) $\overrightarrow{u}=Cos\frac{\pi }{3}\widehat{i}+Sin\frac{\pi }{3}\widehat{j}$

$\overrightarrow{u}=0.5\widehat{i}+0.866\widehat{j}$

$\overrightarrow{v}=Cos\frac{2\pi }{3}\widehat{i}+Sin\frac{2\pi }{3}\widehat{j}$

$\overrightarrow{v}=-0.707\widehat{i}+0.707\widehat{j}$

Let the angle between them is θ

The formula in terms of the dot product is given by

$Cos\theta =\frac{\overrightarrow{u}.\overrightarrow{v}}{u v}$

$u=\sqrt{0.5^{2}+0.866^{2}}=1$

$v=\sqrt{-0.707^{2}+0.707^{2}}=1$

$Cos\theta =\frac{0.5 \times (-0.707) + 0.866 \times 0.707)}{1\times 1}$

$Cos\theta=0.2587$

θ = 75°

(c) $\overrightarrow{u}=1\widehat{i}+4\widehat{j}+8\widehat{k}$

$u=\sqrt{1^{2}+4^{2}+8^{2}}=9$

$Cos\alpha =\frac{1}{9}$

$Cos\beta =\frac{4}{9}$

$Cos\gamma =\frac{8}{9}$

7 0

3 years ago