1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alchen [17]
3 years ago
11

An angle has a measure of (5x + 7), and another angle has a measure of (2x + 54).

Mathematics
1 answer:
docker41 [41]3 years ago
6 0

Answer:

92 and 88

Step-by-step explanation:

supplementary angles  form a linear pair.They add up to 180o

5x + 7  2x+54 = 180

7x+61 = 180

7x=119

x=17

5*17+7=92

2*17+54=88

92+88=180

You might be interested in
The system of equations Y =-3x+2 and Y = 3x-6 is shown on the graph below.
Ira Lisetskai [31]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
At Fruits R Us, Mr. Orchard realizes that dried pineapple slices and dried apricots were two of his top dried fruit sellers. So
Rudik [331]

Answer:

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=300 (1)

5x+8y=300*7

5x+8y=2100(2)

First, you can isolate x in (1):

x=300-y (3)

Now, you can replace (3) in (2):

5(300-y)+8y=2100

1500-5y+8y=2100

3y=2100-1500

y=600/3

y=200

Then, you can replace the value of y in (3) to find x:

x=300-200

x=100

According to this, the answer is that he should use 100 pounds of dried pineapple and 200 pounds of dried apricots.

4 0
4 years ago
A man wants to beautify his front yard by planting four 20−foot-tall palm trees alongside his house. Each tree will need a cylin
GREYUIT [131]

He have to buy 4 bags to put all the dirt at once.

Step-by-step explanation:

Radius = 17 inches

Height = 28 inches

Volume of dirt from the cylindrical hole = π(r x r) h

= π(17 x 17) 28

= (3.14) (289) 28

= 25408.88 cubic inches

1 foot = 12 inches

Volume of dirt the bag can hold= 24 x 18 x 48

= 20736 cubic inches of dirt

The man fills only one third of the bag.

The volume of dirt the man fills = (1/3)20736

= 6912 cubic inches

Total bags = 25408.88/6912

= 3.69

= appx. 4 bags

He have to buy 4 bags to put all the dirt at once.

5 0
3 years ago
If N is the population of the colony and t is the time in​ days, express N as a function of t. Consider Upper N 0 is the origina
lesya [120]

Answer:

(a)N(t)=Noe^{kt}

(b)5,832 Mosquitoes

(c)5 days

Step-by-step explanation:

(a)Given an original amount N_o at t=0. The population of the colony with a growth rate k \neq 0, where k is a constant is given as:

N(t)=Noe^{kt}

(b)If N_o=1000 and the population after 1 day, N(1)=1800

Then, from our model:

N(1)=1800

1800=1000e^{k}\\$Divide both sides by 1000\\e^{k}=1.8\\$Take the natural logarithm of both sides\\k=ln(1.8)

Therefore, our model is:

N(t)=1000e^{t*ln(1.8)}\\N(t)=1000\cdot1.8^t

In 3 days time

N(3)=1000\cdot1.8^3=5832

The population of mosquitoes in 3 days time will be approximately 5832.

(c)If the population N(t)=20,000,we want to determine how many days it takes to attain that value.

From our model

N(t)=1000\cdot1.8^t\\20000=1000\cdot1.8^t\\$Divide both sides by 1000\\20=1.8^t\\$Convert to logarithm form\\Log_{1.8}20=t\\\frac{Log 20}{Log 1.8}=t\\ t=5.097\approx 5\; days

In approximately 5 days, the population of mosquitoes will be 20,000.

7 0
3 years ago
Read 2 more answers
Find the interest earned on an investment with a principal = $850, interest rate = 12% per year, and time = 6 months.
Aloiza [94]
12% per year means 6% every6 months
so do 850 × 0.06= 51USD
3 0
4 years ago
Other questions:
  • What is the solution of this system of linear equations? 3y = x + 6 y – x = 3
    15·1 answer
  • The robotics team needs to purchase $350 of new equipment. Each of the x students on the team plans to fundraise and contribute
    8·1 answer
  • Pam is taking a train from the town of Rome to the town of Florence. Rome is located 40 miles due west of the town of Paris. Flo
    15·1 answer
  • Terry Wade's variable costs for his car
    10·1 answer
  • Value of x for 12(x-2)+3x=1/2(x+6)+2​
    7·1 answer
  • I need some help on this question! I will mark if you help!
    5·1 answer
  • What is (-a + b) (-c + d)?​
    13·1 answer
  • 49n² − 56n + 16<br> Solve this PLZ
    12·2 answers
  • , write an expression should be used to determine the total number of points Amanda scored in Tuesday's game?
    12·1 answer
  • He temperature moreased by 8' Fahrenheit
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!