Area of the rectangle = (18 m) (12 m) = 216 m²
Area of the triangle cutout = 1/2 (7 m) (9 m) = 63/2 m²
Area of the shaded region = 216 m² - 63/2 m² = 369/2 m² = 184.5 m²
Courtney works for the Red Cross and has been tasked with buying non-perishable items for families recently displaced by a hurricane. She finds a company willing to send her Meals-Ready-to-Eat (MREs) at a discounted price. Cases of small portion meals are $20.00 each and cases of large portion meals are $30.00 each. She buys a total of 20 cases and spends a total of $450.00.
Let x represent the number of small portion meals and let y represent the number of large portion meals. Write a system of equations, in terms of x and y, to model the situation. Enter your equations in the space provided.
9514 1404 393
Answer:
x + y = 2020x +30y = 450Step-by-step explanation:
The equation for the total number of cases is ...
x + y = 20
The equation for the total cost of the cases is ...
20x +30y = 450
_____
Additional comment
The solution to these equations is (x, y) = (15, 5).
I need help with this.
Answer:
[tex]x + (3x - 9) = 5x - 30 \\ x + 3x - 9 = 5x - 30 \\ 4x - 9 = 5 x - 30 \\ - 9 + 30 = 5x - 4x \\ 21 = x \\ so..value \: of \: x \: is \: 21 \\ so. \\ <ACD = 5 \times 21 - 30 = 105 - 30 = 75° \\ < ACB = 180° - 75° = 115°[/tex]
<ACB = 105°
it is correct✅ ans.❤❤❤❤❤❤❤❤❤
plazzz mark is as a brilliant ansUse inductive reasoning to predict the most probable next number in each list.
6, 9, 15, 24, 36, 51, ?
Answer:
69
Step-by-step explanation:
The numbers increase by 3 more than the previous amount increased by.
6 +3 9 +6 15 +9 24 +12 36 +15 51 +18 69
all right guys help me out a little bit no jokes this is worth 13 points I need help with 432 / 73
Answer:
5.91780821918
Step-by-step explanation:
432/73 is the same as 432 ÷73=5.91780821918
Hope this helps ∞<3
Can someone help me please
I think this is right
Plz, Help me with this question!!!!
Answer:
152y+125
Step-by-step explanation:
You spend 3 hours every day practicing the piano. What fraction of the day do you spend practicing the piano? Give your answer in simplest form.
Answer:
1/8th
Step-by-step explanation:
since there are 24 hours in a day
Answer: 1/8
Step-by-step explanation:
a day is 24 hours long. If you spend 3 hours out of 24 hours a day to practice piano it would be 3/24. Then to get it in simpilest form, you divide 3 by 3 and 24 by 3 which would get you the answer 1/8.
Hope i helped have a good rest of your day!!
use the diagram below to find the lengths of the following answer question 18-25. Be sure to include all necessary work. Leave your answer in the simplest radical form when necessary.
Answer:
18. AE = 6
19. BG = 6
20. CF = 5
21. GF = 2
22. CE = 3
23. AC = 3·√5
24. A_F = 10
25. DA = 3·(√5 - 1)
Step-by-step explanation:
Whereby the point C is the center of the circle, we have;
CB = CG = CE = 3 = The radius of the circle with center at C
CE = 3
CF = √(4² + 3²) = 5 by Pythagoras' theorem
CF = 5
GF = CF - CG = 5 - 3 = 2
GF = 2
BG = CB + CG = 3 + 3 = 6
BG = 6
Whereby, BC is a tangent to the circle with center, C, we have;
A_F = √(8² + 6²) = 10 by Pythagoras' theorem
A_F = 10
AE = A_F - EF = 10 - 4 = 6
AE = 6
AC = √(6² + 3²) = 3·√5 by Pythagoras' theorem
AC = 3·√5
DA = AC - CD = 3·√5 - 3 = 3·(√5 - 1)
DA = 3·(√5 - 1).
Brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. After taking the sixth quiz, Brooke's mean score increased. Which could be Brooke's sixth quiz score? Select three options. 85 90 83 86 92
Step-by-step explanation:
Mean average = (84 + 72 + 90 + 95 + 87) / 5 = 85.6
For the mean score to increase, the new score must be greater than 85.6.
Hence the correct options are 90, 86 and 92.
Answer:
b, d, and e
Step-by-step explanation:
What is the product of 10x4 y2 and 3xy3 ?
Answer:
30x^5y^5
Step-by-step explanation:
What is the product of 10x4 y2 and 3xy3 ?
30x^5y^5
uhh.i dumb the screenshot is here
Answer:
40
Step-by-step explanation:
Just use a calculator. I didn´t need to. My brother helped me a little
There are 40 questions in a test and you get 75 % correct. How many
questions do you get right?
Answer:
30
Step-by-step explanation:
To solve this problem the way I would do it would be:
75% = 3/4
40 ÷ 4 = 10 × 4
Since you have 75% or 3/4 you add 1/4 3 times. 1/4 of 40 is 10 so add 10 3 times.
10 + 10 + 10 = 30
Answer:
[tex]30[/tex]
Step-by-step explanation:
[tex]40 \times \frac{75}{100} = \\ 40 \times \frac{3}{4} = 30[/tex]
The table below shows the distances and travel times for three different flights departing from Minneapolis.
Destination Travel time (in hours) Distance (in \text{km}kmstart text, k, m, end text)
Phoenix 333 168916891689
Minot 222 913913913
San Francisco 444 255625562556
Which flight has the fastest average speed?
Answer:
San Francisco with average speed of 639 km/hour
Step-by-step explanation:
Phoenix 3 1,689
Minot 2 913
San Francisco 4 2,556
Phoenix average speed = distance travelled / time taken
= 1,689 km /3 hours
= 563 km/hour
Minot average speed = distance travelled / time taken
= 913 km / 2 hours
= 456.5 km/hour
San Francisco average speed = distance travelled / time taken
= 2,556 km / 4 hours
= 639 km/hour
The fastest average speed flight is San Francisco with an average speed of 639 km/hour
Answer:
San Francisco with average speed of 639 km/hour
Step-by-step explanation:
find x it is multiple choice.
Answer:
25
Step-by-step explanation:
what is the interest earned in a savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly? round your answer to the nearest hundredth.
Interest = $ [?]
Answer:
$30
Step-by-step explanation:
2000 x .015 = 30
The interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P\left(1 +\dfrac{R}{100}\right)^T[/tex]
For this case, we're specified that:
Initial amount = P = $2000Interest rate 1.5% annually (compound interest), or R = 1.5Time for which interest will be compounded = 12 months = 1 year = T (converted time to year as interest is being compounded annually).Thus, we get the amount of interest as:
[tex]CI = 2000\left(1 +\dfrac{1.5}{100}\right)^1 - 2000\\\\CI = 2000\times \dfrac{1.5}{100} = 30 \: \rm (in \: dollars)[/tex]
Thus, the interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30
Learn more about compound interest here:
https://brainly.com/question/11897800
#SPJ2
first to answer gets brainliest im being nice so what is 2+2 XD
Answer:
4
Step-by-step explanation:
what else o3o
Answer:
2+2=4
Step-by-step explanation:
tysm!!
Find the equation to the line , Please help !!!!
Answer:
y= -3/2 + 3
Step-by-step explanation:
What Ps the value
of (100)^o
Answer:
(100)^0=1
Step-by-step explanation:
This follows the laws of indices
You manage an appliance store that currently has excess warehouse inventory. You decide to offer a price reduction on washer-dryer combination sets. As a result of the price reduction, the company sells 36 combination sets, and this reduces their inventory by 25%. How many washer-dryer combination sets are in the warehouse after the sale? 27 70 108 144 864
Answer:
108Step-by-step explanation:
Let the amount of washer-dryer combination sets that are in the warehouse after the sale be x
Initial amount in the ware house is y
y - 36 = 75% of y
y - 36 = 0.75y
0.75y - y = -36
-0.25y = -36
y = 36/0.25
y = 144
The initial amount of wash dryer before sale is 144
After sale the amount of set in the house x = 144 - 36 = 108
Hence there 108 washer-dryer combination sets are in the warehouse after the sale
please answer this question
Answer:
16%
Step-by-step explanation:
Add all of the dots together, you get 4/25 (the household of 3/total) and multiply top and bottom by same number. the bottom should equal 100. 25*4=100, 4×4=16. 16/100=16%
Money in a particular savings account increases by about 6% after a year. How much money will be in the account after one year if the initial amount is $100?
What’s the slope and y intercept of (3,4) and (0,-3)
Slope: 7/3
Y intercept: -3
what is the equation of this graph?
Answer:
C. x=4
Step-by-step explanation:
In this graph the x value never changes, it is always equal to four. In this line the slope is undefined and there is no y-intercept. For all straight vertical lines, the equation will be x equals to whatever x value it is.
Find the slope of the line passing through the points (3, 4) and (8,-3).
Answer:
-1.4
Step-by-step explanation:
HELP WILL MARK BRAINLIEST
Answer:
D
Step-by-step explanation:
Answer: it would be d
Step-by-step explanation:
A.) what is the domain?
B.) what is the range?
C.) is this relation a function?
Answer:
The Domain is the set of all points over which a function is defined.
The range is the set of values the function takes on as output.
Error Analysis
On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 7b+ m + 8. Jake says that 7 is a coefficient and 8 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made?
The coefficient(s) of the expression is are __
Use a comma to separate answers as needed.)
The constant(s) of the expression is/are __
(Use a comma to separate answers as needed.)
What error might Jake have made?
A. Jake said 7 is a coefficient. It is actually a constant.
OB. Jake said 8 is a constant. It is actually a coefficient.
OC. Jake did not include the constant 1.
OD. Jake did not include the coefficient 1.
Click to select your answer's).
The coefficient(s) of the expression is/are 7, 1
Use a comma to separate answers as needed.)
The constant(s) of the expression is/are 8
(Use a comma to separate answers as needed.)
What error might Jake have made?
OD. Jake did not include the coefficient 1.
Click to select your answer's
HELP ASAP!!!
If f(x) = -4x + 1, find f(2).
Enter the numerical value only
Answer:
-7
Step-by-step explanation:
-4(2)=-8
-8+1=-7........
Urgent! Please help!
Solve the given equation:
3(x-2)^4/3 =243
Answer:
x is equal to 29.
Step-by-step explanation:
[tex]3(x - 2)^{\frac{4}{3}} = 243\\(x - 2)^{\frac{4}{3}} = 243 / 3\\(x - 2)^{\frac{4}{3}} = 243 / 3\\(x - 2) =( 243 / 3)^{\frac{3}{4}}\\x - 2 = 81^{\frac{3}{4}}\\x = 3^3 + 2\\x = 27 + 2\\x = 29[/tex]
disssss tooo helllllllpppp shoals shzn
Answer:
3/2
Step-by-step explanation:
Use this formula y2-y1/x2-x1
PLUG IN YOUR POINTS
-3 - -9/ 8- 4 =
6/4 (simplify)
1.5 or 3/2
Hope this helps ya!!