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den301095 [7]
3 years ago
10

1. Sam won over super bouncy balls playing horseshoes at her school's game night. Later, she gave two to each of her friends. Sh

e only has 8 remaining. How many friends does she have?
2. Imani spent half of her weekly allowance playing mini golf. To earn more money, her parents let her wash the car for $4. What is her weekly allowance if she ended with $12
3. Alex had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start?
Mathematics
1 answer:
schepotkina [342]3 years ago
5 0
1: there isn’t enough info
2: 16
3: 20
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Point E is added to the given figure so that point E lies on segment BD exactly halfway between points B and D. Which statement
frosja888 [35]

The statement that correctly compares the angle measures m∠ABD = m∠ABE. The correct option is A. m∠ABD = m∠ABE

<h3>Measure of angles</h3>

From the question, we are to determine the statement that correctly compares the angle measures

From the information,

Point E is added to the given figure so that point E <u>lies on segment BD</u> and it is <u>exactly halfway</u> between points B and D

From this, we can infer that

m∠ABD = m∠ABE

and

m∠DBC = m∠EBC

This is because, point E lies on segment BD and it does not affect the angle measures

Hence,  the statement that correctly compares the angle measures m∠ABD = m∠ABE. The correct option is A. m∠ABD = m∠ABE

The complete and correct question is attached

Learn more on Angle measures here: brainly.com/question/25928670

#SPJ1

8 0
2 years ago
At the beginning of an experiment, a scientist has 300 grams of radioactive goo. After 150 minutes, her sample has decayed to 37
monitta

Answer:

Half-life of the goo is 49.5 minutes

G(t)= 300e^{-0.014t}

191.7 grams of goo will remain after 32 minutes

Step-by-step explanation:

Let M_0\,,\,M_f denotes initial and final mass.

M_0=300\,\,grams\,,\,M_f=37.5\,\,grams

According to exponential decay,

\ln \left ( \frac{M_f}{M_0} \right )=-kt

Here, t denotes time and k denotes decay constant.

\ln \left ( \frac{M_f}{M_0} \right )=-kt\\\ln \left ( \frac{37.5}{300} \right )=-k(150)\\-2.079=-k(150)\\k=\frac{2.079}{150}=0.014

So, half-life of the goo in minutes is calculated as follows:

\ln \left ( \frac{50}{100} \right )=-kt\\\ln \left ( \frac{50}{100} \right )=-(0.014)t\\t=\frac{-0.693}{-0.014}=49.5\,\,minutes

Half-life of the goo is 49.5 minutes

\ln \left ( \frac{M_f}{M_0} \right )=-kt\Rightarrow M_f=M_0e^{-kt}

So,

G(t)= M_f=M_0e^{-kt}

Put M_0=300\,\,grams\,,\,k=0.014

G(t)= 300e^{-0.014t}

Put t = 32 minutes

G(32)= 300e^{-0.014(32)}=300e^{-0.448}=191.7\,\,grams

7 0
3 years ago
On a map, 2 1/2 cm represents 60 km. What is the actual distance between two cities that are 5 1/2 cm apart on the map?
lesya [120]

Answer:

They would be 132km apart

Step-by-step explanation:

In order to solve this we need to set up a proportion. To make that easier, let's first change the fractions into decimals.

2 1/2 = 2.5

5 1/2 = 5.5

Now we can put the scale in the right side fraction and the distance in the left.

2.5cm/60km = 5.5cm/xkm

Now cross multiply to solve

60 * 5.5 = 2.5 * x

330 = 2.5x

132 = x

8 0
3 years ago
Given sina = 3/5 and sinB=5/13 find cos(a-B):____
MariettaO [177]
I’m pretty sure the answer is C
3 0
3 years ago
11x - 16 = -49<br> Please help
Firdavs [7]

Answer:

x=-3

Step-by-step explanation:

if you take 11 and times it by -3 that gives you -33 if you take -16 and add it to -33 it gives you -49

5 0
3 years ago
Read 2 more answers
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