C1700

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178

uysha [10]

Answer:

Shane could have collected more than 911 Cans

Step-by-step explanation:

We are asked to write an inequality to find the number of cans, S that Shane could have collected:

Cans collected by Shane and Abha > 2000

S + A > 2000

Abha collected 178 more cans than Shane did.

A = 178 + S

Put value of A in the above inequality

S + 178 + S > 2000

2S + 178 > 2000

2S > 2000 - 178

2S > 1822

S > 911

6 0

3 years ago

Eddie's moving company moved 3 boxes out of Mrs. Diaz's house. The box labeled "kitchen" was 4 times heavier than the box labele

Svetach [21]

K - Kitchen
b - Bedroom
l - Library

k = 4b
l = 14b
k + b + l = 817 pounds
4b + b +14b = 817 pounds
19b = 817 lbs
b = 817/19 pounds
b = 43 pounds

Since k = 4b
k = 4 * 43 pounds
k = 172 pounds

7 0

3 years ago

bills normal temperature is 98.6 today ballistic and has a temperature of 104.3 how many degrees above his normal temperature is

kkurt [141]

Answer:

Today's temperature is 5.7 degrees above Bill's normal temperature.

Step-by-step explanation:

Given

Represent the normal temperature with N and today's temperature with T.

Such that:

$N = 98.6$

$T = 104.3$

Required

Determine the temperature above the normal temperature

The interpretation of this is to calculate the difference between Bill's normal temperature and Bill's today temperature.

Represent the difference with D

D is calculated as follows:

$D = T - N$

Substitute values for T and N

$D = 104.3 - 98.6$

$D = 5.7$

Hence, today's temperature is 5.7 degrees above Bill's normal temperature.

4 0

3 years ago

A dieter believes that the average number of calories in a homemade peanut better cookie is more than the average number of calo

zalisa [80]

The confidence interval formula is computed by:

Xbar ± Z s/ sqrt (n)

Where:

Xbar is the mean

Z is the z value

S is the standard deviation

N is the number of samples

So our given are:

90% confidence interval with a z value of 1.645

Sample size 40, 45

Mean 180, 179

Standard deviation 2, 4

So plugging that information in the data will give us a confidence interval:

For 1:

Xbar ± Z s/ sqrt (n)

= 180 ± 1.645 (2 / sqrt (40))

= 180 ± 1.645 (0.316227766)

= 180 ± 0.520194675

= 179.48, 180.52

For 2:

Xbar ± Z s/ sqrt (n)

= 179 ± 1.645 (4 / sqrt (45))

therefore, the answer is letter b

8 0

4 years ago

Hailey is scuba diving in the ocean. Her boat is anchored 300 feet away at a 30° angle of depression. If her diving partner is 2

victus00 [196]

Answer:

B)313 ft

Step-by-step explanation:

Hello,I think I can help you with this

to solve this you need to find all the measures of the rigth triangle formed by Hailey, the boat, and the point on the surface of the sea just above the head of Hailey

Step 1

define

triangle

Hypotenuse=300 feet

opposite side=y

adjacent side=x

angle of depression =30°

Step 2

find the distances

$cos\alpha =\frac{adjancent\ side}{hypotenuse}\\\\hypotenuse*cos\alpha =adjancent\ side\\ so\\x=adjancent\ side=hypotenuse*cos\alpha\\\\x=300\ft*cos 30 \\\\x=259.8076$

so, the point on the surface of the sea just above hailey is 259.8076 ft from the boat

$sin\alpha =\frac{opposite\ side}{hypotenuse}\\\\hypotenuse*sin\alpha \\y=opposite\ side\\ so\\y=opposite\ side=hypotenuse*sin\alpha\\\\y=300\ft*sin 30 \\\\y=150$

hailey is at a depth of 150 feet

Step 3

now,her partner is 25 feet directly below her,it is

partner's depth is =hailey is at a depth of 150 feet+25

Y=175

he is at the same distance from de boat ( horizontal),because it is the same point in the sea surface.

X=259.80

Step 4

to find the distance between the partner and the boat we can use

Pythagoras theorem

$adjacentside^{2} +opposite side^{2} =hypotenuse^{2} \\\sqrt[2]{adjacentside^{2} +opposite side^{2}} =Hypotenuse\\Hypotenuse=\sqrt[2]{175^{2} +259.8076^{2}} \\\\Hypotenuse=313.24 ft$

so, Hailey's diving partner is 313 ft away from the boat(B)

Have a great day.

3 0

3 years ago