Answer:
Leona ordered 19 boxes of pens and 5 rubber bands
Step-by-step explanation:
Let there are p pen and b rubber bands.
ATQ,
p+b = 24 ...(1)
and
10p+4b = 210 ...(2)
Multiply equation (1) by 10.
10p+10b = 240 ...(3)
Subtract equation (2) from (3).
10p+10b-(10p+4b ) = 240-210
6b = 30
b = 5
Put the value of b in equation (1).
p+5 = 24
p = 19
Hence, Leona ordered 19 boxes of pens and 5 rubber bands.
Find the annual interest rate. $I=\$160$ , $P=\$2000$ , $t=8$ months The annual interest rate is %.
Answer:
[tex]1\%[/tex]
Step-by-step explanation:
Simple interest (I) = $160
Principal amount (P) = $2000
Time period (t) = 8 months
Let R denotes rate of interest.
Relation between simple interest, principal amount, time and rate of interest is given by [tex]I=\frac{PRT}{100}[/tex]
[tex]160=\frac{2000(R)(8)}{100} \\\\160=160R\\R=1\%[/tex]
Answer:
12
Step-by-step explanation:
It would be: r = I * 100 / P * R
r = 160.67 * 100 / 2000 * 2/3
r = 16067*3 / 4000
r = 48201 / 4000
r = 12
Kelly has a rectangular fish aquarium that
measures 18 inches, 8 inches wide and 12 inches
tall. How much water does the aquarium can
hold?
If the scale factor is 5/3 what is the width of the new rectangle?
Answer:
If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50
Step-by-step explanation:
We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50
Permutations
How many different six-letter words can be formed from the word SCHOOL?
Answer:
Se pueden formar 2520 palabras distintas de 7 letras con las letras de la palabra ESCUsil
Explicacion:listo :)
1. The perimeter of a rectangular field is 60 ft
and its width is 20 ft. Find the area of this
field,
1,200 square feet
2. 120 square feet
3. 80 square feet
4. 100 square feet
Answer:
80 square feet
Step-by-step explanation:
I hope this helps a little bit.
Planet Fitness gym charges $15 per month plus $50 for a membership. Total
Fitness gym charges $25 per month and no membership fee. After how many months
would the total cost be the same for both gyms?
Answer:
planet fitness will take one month and total fitness will take 3 months
Step-by-step explanation:
planet fitness:
75
total fitness:
25
50
75
As an assistant in pet store, one of your responsibilities is to fill the aquariums with water. One 50-gallon aquarium is 36 inches long and 16 inches wide, and is filled to a depth of 20 inches. To the nearest whole number of cubic inches, how much water do you need to fill the aquarium to that depth?
Answer:
Eleven thousand five hundred and twenty
Step-by-step explanation:
E2021
If you are going 250 miles somewhere and it cost 75 cents per mile how much money is that
Answer:
$187.50
Step-by-step explanation:
Set up an equation
250 m/$x = 1 m/$0.75
Cross multiply
250 miles × $0.75 = 1x
$187.50 = x
please help me !!! i'll give brainliest
Answer:
a. root (x^2 + 64)
Step-by-step explanation:
(8^2 + x^2) = y^2
If you root both sides,
y = root (x^2 + 64)
Paul opens a savings account with $350. He saves $150 per month. After how many months will Paul have $2150 in the account?
Answer:
12 months
Step-by-step explanation:
2150-350=1800
1800÷150=12
pls help i don’t understand!
You may need to input the number only without the "degrees".
=============================================================
Explanation:
First we'll focus on triangle DEH. Ignore the other points and values.
We have the sides of EH = 32 and DH = 49. Let x be the measure of angle DHE, which is one of the pieces of angle DHG. We'll use the cosine rule to find x.
cos(angle) = adjacent/hypotenuse
cos(H) = EH/DH
cos(x) = 32/49
x = arccos(32/49)
x = 49.227195
The value is approximate and rounded to 6 decimal places. Make sure your calculator is in degree mode. Arccos is the same as inverse cosine.
We'll come back to this value later.
---------------------
Now focus on triangle HFG. Ignore the other points.
We have the sides of FG = 38 and GH = 43
Let y be the measure of angle FHG, which is the missing piece to form angle DHG. Based on how x and y are set up, we can say x+y = angle DHG.
To find y, we'll need the sine rule this time
sin(angle) = opposite/hypotenuse
sin(H) = FG/GH
sin(y) = 38/43
y = arcsin(38/43)
y = 62.094527 which is approximate to 6 decimal places
---------------------
The last step is to add the values of x and y we found earlier
angle DHG = (angle DHE) + (angle FHG)
angle DHG = (x) + (y)
angle DHG = (49.227195) + (62.094527)
angle DHG = 111.321722
angle DHG = 111 degrees after rounding to the nearest whole degree.
----------------------
If you wanted to do this all in one step, you could say:
arccos(32/49)+arcsin(38/43) = 111.3217 which rounds to 111 degrees.
The scale of a map is 1 cm: 75 km. What is the actual distance between two towns that are 4 cm apart on the map?
Answer:
300
Step-by-step explanation:
(75*4)/1
evaluate functions from their graph g(7)
Answer:
Evaluate functions from their graph g(7)= 4
Step-by-step explanation:
If the point (a,b)(a,b)left parenthesis, a, comma, b, right parenthesis is on the graph, then g(a)=bg(a)=bg, left parenthesis, a, right parenthesis, equals, b.
We should look for the point on the graph whose x-coordinate is 7.
The point on the graph whose xxx-coordinate is 7 is the point (7,4)
Therefore, g(7)=4.
I don’t know how to do these I need help
k = 15 is the answer!!!!!!
1. What is the circumference of a tire with a diameter of 12 inches?
A36
B48
C24
D6
2. What is the radius of a circle with a diameter of 20 inches?
A10
B60
C30
D40
3. What is the circumference of a circle with a radius of 12?
A24
B72
C6
D36
4. What is the circumference of a circle with a radius of 7 feet?
A28
B42
C14
D3.5
5. What is the radius of a circle with a diameter of 36 inches?
A6
B18
C12
D16
6. What is the circumference of a circle with a diameter of 30 centimeters?
A60
B90
C50
D15
7. Is the diameter of a tire less than, greater than, or equal to its circumference?
Aequal
Bnot enough information
Cless than
Dgreater than
8. What is the diameter of a tire with a radius of 11 inches?
A22
B33
C5.5
D121
9. Your favorite CD has a radius of 9 centimeters. What is the circumference of the CD?
A18
B4.5
C27
D54
10. Which is true about the radius and diameter?
AThe radius and diameter can sometimes be equal.
BThe diameter is two times the size of the radius.
CThe diameter is half the size of the radius.
DThe radius is two times the size of the diameter.
Answer:
1) A. 36
2) A. 10
3) B. 72
4) B. 42
5) A. 6
6) B. 90
7) C. less than
8) A. 22
9) D. 54
10) B. The diameter is two times the size of the radius.
Step-by-step explanation:
1) 12 x 3.14 = 36
2) 20/2 = 10
3) 12 x 2 x 3.14 = 72
4) 7 x 2 x 3.14 = 42
5) 36/3.14 = 12/2 = 6
6) 30 x 3.14 - 90
8) 11 x 2 =22
9) 9 x 2 x 3.14 = 54
Brian invests £1850 into his bank account. He receives 2.7% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate.
Answer:
£1999.85
Step-by-step explanation:
A = P(1 + rt)
Where:
A = Amount after t years
P = Initial amount invested = £1850
r = Interest rate = 2.7%
t = Time in years = 3 years
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.7%/100 = 0.027 per year.
Solving our equation:
A = £1850(1 + (0.027 × 3))
A = £1999.85
Therefore, Brian will have £1999.85 after 3 years.
Brookwood High school is considering adding co-ed soccer to the game sports program for the fall season m In order to get an unbiased sample of interest in soccer, who should the school survey
Answer:
hmm
Step-by-step explanation:
WILL MARK BRAINLIEST IF RIGHT DONT ANSWER IF U DONT KNOWWWW
Answer:
ASA
Step-by-step explanation:
Angles WXV and ZXY were proven congruent.
Angles W and Y were proven congruent.
Sides WX and XY were proven congruent.
A city that has an elevation of -17 meters is closer to sea level than a city that has an
elevation of -40 meters. Agree or disagree?
Answer:
yes agree
Step-by-step explanation:
because negative 40 is less than negative 17
I will go down on you at this point
lillian works 7 hours each day for 5 days a week. she earns £420 each week. how much does she earn per hour?
need ASAP I will mark beainlist for correct t answer
Answer:
Lillian gets paid $12 an hour.
Step-by-step explanation:
I multiplied 7 times 5, which gives you 35. The you divide 420 by 35, which then gives you 12 dollars
2
A cell phone tower is the
shape of a rectangular
pyramid. The base has
dimensions of 12 ft by 16 ft.
The tower takes up 1152 cubic
feet of space. How many feet
tall is the tower?
42
40
x
Find the unknown side length, x. Write your answer in simplest radical form.
A. 2.41
B. 429
C. 48
D. 58
Answer:
Your answer is D. 58
Step-by-step explanation:
x= [tex]\sqrt{(42^2+40^2)}[/tex]
Help me pleaseeeee I need this quick
Answer:
Step-by-step explanation:
Multiply?
For your batch of cookies, you'll need 2 cups of chocolate chips for every 5 cups of cookie dough mix. You have 30 cups of cookie dough mix, how many cups of chocolate chips?
2/5=x/30 so first one times by 6 and to get 12
someone please help me with this problem
Answer:
x=45
y=135
z=45
Work out the size of angle x.
105°
to
Answer:
105
Step-by-step explanation:
cuz it is corresponding angle
The probability that it rains is about 20%.
The probability that the bus is late is about 8%.
The probability that it rains and the bus is late is about 3%.
The probability that the train is late is about 5%.
The probability that it rains and the train is late is about 1%.
what can you conclude about the rain and the students commute on the bus and train?
A triangle has side lengths of 5a +3 inches and 2a +3 inches. If the perimeter of the triangle is 3a + 12 inches, which expression represents the length, in
inches, of the third side of the triangle?
Answer:
A. 2a+6
Step-by-step explanation:
I did the test and this is what I got.
round 6,577 the nearest thousand
Answer: 7,000
Step-by-step explanation: the hundred was greater than 5 so we round up any number after whatever you are doing if it’s 5 or greater you round up