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3 years ago

15

Katia spent $12.64 on avocados. If each avocado costs $0.79, how many avacados did Katia purchase?

1 answer:

Ostrovityanka [42]3 years ago

5 0

Answer:

16 avocados

Step-by-step explanation:

Let "x" be the number of avocados

12.64 = x0.79

you then divide .79 to 12.64

12.64 / .79 = 16

16 = x

You can also check if this is correct by multiplying 16 into .79

12.64 = (16 * .79)

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Which shows a correct order to solve this story problem? Each morning Mike bikes 3.5 miles. Each afternoon he bikes 2.3 miles. H

Grace [21]

Ok so
since we h ave
3.5=1 day's morning
and
2.3=1 day's afternoon
we need to add them to find 1 day and multiply by 6 (number of days)
that answer is not listted so we make into anohter form
this wold be
6 times (3.5 +2.3)
if we distributed
a(b+c)=ab+ac
6(3.5+2.3)=6 times 3.5+6 times 2.3

this is D

3 0

3 years ago

Read 2 more answers

Find the angle between the given vectors to the nearest tenth of a degree. u = , v = (2 points)

Liono4ka [1.6K]

Answer:

<h2>3.6°</h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the angle between the given vectors to the nearest tenth of a degree.

u = <8, 7>, v = <9, 7>

we will be using the formula below to calculate the angle between the two vectors;

$u*v = |u||v| cos \theta$

$\theta$ is the angle between the two vectors.

u = 8i + 7j and v = 9i+7j

u*v = (8i + 7j )*(9i + 7j )

u*v = 8(9) + 7(7)

u*v = 72+49

u*v = 121

|u| = √8²+7²

|u| = √64+49

|u| = √113

|v| = √9²+7²

|v| = √81+49

|v| = √130

Substituting the values into the formula;

121= √113*√130 cos θ

cos θ = 121/121.20

cos θ = 0.998

θ = cos⁻¹0.998

θ = 3.6° (to nearest tenth)

Hence, the angle between the given vectors is 3.6°

5 0

4 years ago

Topic/Objective: Function Applications pp. 228-252

e-lub [12.9K]

Graphing them and see what the difference is

6 0

3 years ago

A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Portland. The stu

iVinArrow [24]

Answer:

$-0.061 < P_1 -P_2< 0.025$

Step-by-step explanation:

Give data:

$n_1 = 350$

$n_2 =250$

$x_1 = 23$

$x_2 = 21$

$\hat{P} 1 = \frac{x_1}{n_1} = \frac{23}{350} = 0.066$

$\hat{P} 2 = \frac{x_2}{n_2} = \frac{21}{250} = 0.084$

for 95% confidence interval

$\alpha = 1 - 0.95 = 0.05 and \alpha/2 = 0.025$

$z_{\alpha/2} = 1.96$ from standard z- table

confidence interval for P_1 and P_2 is

$\hat{P} 1 - \hat{P} 2 \pm z_{\alpja/2} \sqrt{\frac{\hat{P} 1(1-\hat{P} 1)}{n_1} +\frac{\hat{P} 2(1-\hat{P} 2)}{n_2}}$

$(0.066 - 0.084) \pm 1.96 \sqrt{\frac{0.066(1-0.066)}{350} +\frac{0.084(1-0.084)}{250}}$

$-0.018 \pm 0.043$

confidence interval is

$-0.018 - 0.043 < P_1 -P_2$

$-0.061 < P_1 -P_2< 0.025$

7 0

3 years ago

What is the answer ti 3\4 × g = 5/8

gladu [14]

For this case we have the following expression:

$\frac {3} {4} g = \frac {5} {8}$

We clear the value of the variable "g", for this:

We multiply by 4 on both sides of the equation:

$4 * \frac {3} {4} g = \frac {5} {8} * 4\\3g = \frac {20} {8}$

We divide by 3 on both sides of the equation:

$\frac {3g} {3} = \frac {20} {8 * 3}\\g = \frac {20} {24}$

We simplify:

$g = \frac {10} {12} = \frac {5} {6}$

Answer:

$g = \frac {5} {6}$

4 0

3 years ago