Ask question

Ask question

All categories

2 years ago

12

Dana want to make some cookies. The recipe call for 2/3 Cups of flour for two dozen. She only want to make one dozen so how much

flour does she need

2 answers:

Brilliant_brown [7]2 years ago

6 0

1/4 cups of flour! :)

coldgirl [10]2 years ago

4 0

Answer: 1/3 cups of flour.

Step-by-step explanation:

(2/3)/2 = 1/3

She only needs 1/3 cups of flour.

please accept my freind request

You might be interested in

The line plot shows the amount of grass seed that a landscaper needs for each of her jobs. What is the total amount of grass see

Bond [772]

Answer:

$Total = 18\frac{1}{4}$

Step-by-step explanation:

Given

The attached line plot

Required

The total

To do this, we simply multiply each grass seed by the frequency (i.e. number of dots), then add up the results.

So, we have:

$Total = \frac{1}{4} * 2 + \frac{1}{2} * 3 + \frac{3}{4} * 1 + 1 * 2 + 1\frac{1}{4} * 1 + 1\frac{1}{2} * 3 + 1\frac{3}{4} * 1 + 2 * 3$

$Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + 1\frac{1}{4} * 1 + 1\frac{1}{2} * 3 + 1\frac{3}{4} * 1 + 2 * 3$

Convert fractions to improper fraction

$Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + \frac{5}{4} * 1 + \frac{3}{2} * 3 + \frac{7}{4} * 1 + 6$

$Total = \frac{1}{2} + \frac{3}{2}+ \frac{3}{4} + 2 + \frac{5}{4} + \frac{9}{2} + \frac{7}{4} + 6$

Add fractions

$Total = 18\frac{1}{4}$

<em>Hence, the total amount is: </em> $18\frac{1}{4}\b$ <em> pounds</em>

4 0

2 years ago

Let a=(1,2,3,4), b=(4,3,2,1) and c=(1,1,1,1) be vectors in R4. Part (a) [4 points]: Find (a⋅2c)b+||−3c||a. Part (b) [6 points]:

love history [14]

Solution :

Given :

a = (1, 2, 3, 4) , b = ( 4, 3, 2, 1), c = (1, 1, 1, 1) ∈ $R^4$

a). (a.2c)b + ||-3c||a

Now,

(a.2c) = (1, 2, 3, 4). 2 (1, 1, 1, 1)

= (2 + 4 + 6 + 6)

= 20

-3c = -3 (1, 1, 1, 1)

= (-3, -3, -3, -3)

||-3c|| = $\sqrt{(-3)^2 + (-3)^2 + (-3)^2 + (-3)^2 }$

$=\sqrt{9+9+9+9}$

$=\sqrt{36}$

= 6

Therefore,

(a.2c)b + ||-3c||a = (20)(4, 3, 2, 1) + 6(1, 2, 3, 4)

= (80, 60, 40, 20) + (6, 12, 18, 24)

= (86, 72, 58, 44)

b). two vectors $\vec A$ and $\vec B$ are parallel to each other if they are scalar multiple of each other.

i.e., $\vec A=r \vec B$ for the same scalar r.

Given $\vec p$ is parallel to $\vec a$ , for the same scalar r, we have

$\vec p = r (1,2,3,4)$

$\vec p = (r,2r,3r,4r)$ ......(1)

Let $\vec q = (q_1,q_2,q_3,q_4)$ ......(2)

Now given $\vec p$ and $\vec q$ are perpendicular vectors, that is dot product of $\vec p$ and $\vec q$ is zero.

$q_1r + 2q_2r + 3q_3r + 4q_4r = 0$

$q_1 + 2q_2 + 3q_3 + 4q_4 = 0$ .......(3)

Also given the sum of $\vec p$ and $\vec q$ is equal to $\vec b$ . So

$\vec p + \vec q = \vec b$

$(r,2r,3r,4r) + (q_1+q_2+q_3+q_4)=(4, 3,2,1)$

∴ $q_1 = 4-r , \ q_2=3-2r, \ q_3 = 2-3r, \ q_4=1-4r$ ....(4)

Putting the values of $q_1,q_2,q_3,q_4$ in (3),we get

$r=\frac{2}{3}$

So putting this value of r in (4), we get

$\vec p =\left( \frac{2}{3}, \frac{4}{3}, 2, \frac{8}{3} \right)$

$\vec q =\left( \frac{10}{3}, \frac{5}{3}, 0, \frac{-5}{3} \right)$

These two vectors are perpendicular and satisfies the given condition.

c). Given terminal point is $\vec a$ is (-1, 1, 2, -2)

We know that,

Position vector = terminal point - initial point

Initial point = terminal point - position point

= (-1, 1, 2, -2) - (1, 2, 3, 4)

= (-2, -1, -1, -6)

d). $\vec b = (4,3,2,1)$

Let us say a vector $\vec d = (d_1, d_2,d_3,d_4)$ is perpendicular to $\vec b.$

Then, $\vec b.\vec d = 0$

$4d_1+3d_2+2d_3+d_4=0$

$d_4=-4d_1-3d_2-2d_3$

There are infinitely many vectors which satisfies this condition.

Let us choose arbitrary $d_1=1, d_2=1, d_3=2$

Therefore, $d_4=-4(-1)-3(1)-2(2)$

= -3

The vector is (-1, 1, 2, -3) perpendicular to given $\vec b.$

6 0

2 years ago

Please answer correctly :>>>>

alexandr1967 [171]

Answer: I’m not rlly sure

Step-by-step explanation: not sure

4 0

2 years ago

Can someone please answer this question

baherus [9]

The formula that we would use is the probability of both over the probability of the rain only.

P[Wind and Rain ] / P [Rain] = 0.35 / 0.65 = 0.538 = 54%

The answer is A.

3 0

2 years ago

A truck’s position relative to a car’s position is -60 feet. The car and the truck move in the same direction, but the car moves

ZanzabumX [31]

Answer:

I think its false

Step-by-step explanation:

the car went 8 second faster

7 0

2 years ago