Answer:
7x+12y ≤ 600
or7x+12y = 600
Step-by-step explanation:
Lets first call cars x and minivans y. Since they want to raise 600, you can do the sign ≤ and 600
≤ 600
Since it is $7 per car, we can do 7x.
Since it is $12 per minivan, we can do 12y.
Together, they have to add up to 600 or more.
7x+12y ≤ 600
If you provide some options, I might be able to give a better answer. Without options, I can't tell if they want an exact answer or not. So technically, the answer could also be:
7x+12y = 600
4/9 + 2/5 =
pls i really need the answer asap
Answer:
38/45
Step-by-step explanation:
Answer:
38/45
Step-by-step explanation:
Hope it helps
Solve the system of equations using elimination: -5x - 8y = -8 and
6x +9y = 12. Please help and explain how to solve
find the area of each shape
Answer:
1. 73.12, 2. 94.25, 3. 96, 4. 54, 5. 62.28, 6. 90.48
this is kinda rushed so you might want to check my answers
Step-by-step explanation:
1. find the area of the rectangle and semi circle seperately then add
4*12 = 48, (8/2)^2 *pi /2 = 8pi = 25.12
48+25.12 = 73.12
2. find the area of the triangle and semicircle then add
11*10/2 = 55, (10/2)^2 * pi / 2 = 39.25
55+39.25 = 94.25
3. split the shape into a trangle and a square
12*(2+6+2)/2 = 60, 6*6 = 36
36+60 = 96
4. split into 2 rectangles
10*3 = 30, 6*4 = 24
30+24=54
5. find area of rectangle and subtract area of semicircle
4*14 = 56, (4/2)^2 * pi /2 = 6.28
56+6.28 = 62.28
6. area of circle minus area of rectangle
(16/2)^2 * pi /2 = 100.48, 2*5 = 10,
100.48-10= 90.48
please help meee :)))))))
Answer:
B, C, D
Step-by-step explanation:
B, C, D
Answer:
A.12
Step-by-step explanation:
x²>100
square root both sides
it becomes x>10
x>10
from the options the only number greater than 10 is 12
Therefore the answer is A. 12
find the area of this triangle, round to the nearest tenth. I will give brainliest
Answer:
108.8yd²
Step-by-step explanation:
Area of a Side Angle Side triangle : Area = 1/2 ( a × b ) × sin(c)
where a and b = the side lengths and c = the angle
Here the given side lengths are 23yds and 9.5yds and the angle given has a measure of 85° so a = 23, b = 9.5 and c = 85
Area = = 1/2 ( a × b ) × sin(c)
a = 23 , b = 9.5 and c = 85
Area = 1/2 ( 23 × 9.5 ) × sin(85)
==> multiply 23 and 9.5
Area = 1/2 ( 218.5 ) × sin(85)
==> multiply 1/2 and 218.5
Area = 109.25 × sin(85)
==> multiply sin(85) and 109.25
Area = 108.8yd²
Note: When the triangle is not a right triangle ( when there is no 90° angle ) we have to use a special formula in order to find the area. Here this is given a side an angle and a side, when given a side an angle and another side you can solve using the formula Area = 1/2 ( a × b ) × sin(c)
MODELING WITH MATHEMATICS The population P (in thousands) of Austin, Texas, during a recent decade can be approximated by y = 494.29 * (1.03) ^ f , where is the number of years since the beginning of the decade. a. Tell whether the model represents exponential growth or exponential decay b. Identify the annual percent increase or decrease in population . Estimate when the population was about 590,000 .
Show work
Answer:
a) growth
b) 3%
c) 6 years (since the beginning of the decade)
Step-by-step explanation:
Given:
The population P (in thousands) of Austin, Texas during a recent decade can be approximated by [tex]y=494.29(1.03)^t[/tex] when t is the number of years since the beginning of the decade.
General form of an exponential function: [tex]y=ab^x[/tex]
where:
a is the y-intercept (or initial value)b is the base (or growth factor)x is the independent variabley is the dependent variableIf [tex]b > 1[/tex] then it is an increasing function
If [tex]0 < b < 1[/tex] then it is a decreasing function
a) The model represents exponential growth as 1.03 > 1
b) The annual percent increase of the population is 3%
1.03 - 1 = 0.03
0.03 x 100 = 3%
c) To estimate when was population about 590,000 set y = 590 and solve for t:
[tex]\implies 590=494.29(1.03)^t[/tex]
[tex]\implies \dfrac{590}{494.29}=(1.03)^t[/tex]
Take natural logs of both sides:
[tex]\implies \ln\left(\dfrac{590}{494.29}\right)=\ln (1.03)^t[/tex]
[tex]\implies \ln\left(\dfrac{590}{494.29}\right)=t\ln (1.03)[/tex]
[tex]\implies t=\dfrac{\ln\left(\dfrac{590}{494.29}\right)}{\ln (1.03)}[/tex]
[tex]\implies t=5.988069001...[/tex]
Therefore the population was about 590,000 6 years since the beginning of the decade.
13 people study French, 15 people study German and there are 21 people in total. What is probability to chose person who takes both of the languages
Answer:
Probability of choosing a person studying both languages is 1/3
Step-by-step explanation:
4.
1
Х
4
3.4
X
67°
432
599
Can I please get help with these two !!!
Answer:
acdfe
Step-by-step explanation
right
What decimal number is 17/22 equal to?
( Plato)
Answer:
0.773 thousandths place
Answer:
0.772
Step-by-step explanation:
Thats what i got!
Hope this helps! :)
(3x-4)^2=22 identify the solutions to the quadratic equation by taking the square root
[tex]~~~~(3x-4)^2 = 22\\\\\implies 3x-4 = \pm\sqrt{22}\\\\\implies 3x = 4 \pm\sqrt{22}\\\\\implies x = \dfrac{4\pm \sqrt{22}}3 \\\\\text{Hence,}~~ x = \dfrac{4+ \sqrt{22}}3~~ \text{and}~~ x = \dfrac{4-\sqrt{22}}3[/tex]
Find the area of the rhombus shown.
Answer:
I believe the answer is D.96
Step-by-step explanation:
well all rhombuses can be turned into a square or rectangle. and this looks like the sides are really close. just a guess don't get mad if it's wrong
Can you help me solve this
Show your workings
multiples of 8 are all the numbers which are divisible by 8, for eg: 8,16,24,32,40,48...
P card has all multiples of 8
hope it helps...!!!
A square box s 12cm wide. What is the area of the box?
Answer: 9cm
Step-by-step explanation:
what is the measure of OAC
Answer:
27°
Step-by-step explanation:
A tangent meets a radius at 90°Angles in a trainable sum to 180°180 - 90 - 63 = 27°Answer:
∠OAC = 27°
Step-by-step explanation:
The radius of the circle is perpendicular to the tangent line.
Therefore, ∠ACO = 90°
The interior angles of a triangle sum to 180°
⇒ ∠OAC + ∠ACO ∠ COA = 180°
⇒ ∠OAC + 90° + 63° = 180°
⇒ ∠OAC + 153° = 180°
⇒ ∠OAC = 180° - 153°
⇒ ∠OAC = 27°
Nancy purchased some bedsheets for $36. Sales rate = 25%. Determine the original price. Solution:
Answer: 48
Step-by-step explanation: sales rate =25%
75% $36
1% = 36/75
100% = 36/75 × 100/1
how much will be charged in prepaid interest on a $500,000 loan with an APR of 4.725% that was closed on August 26?
Answer:
$323.65
Hope this helps :D
It will charge $323.63 in prepaid interest on a $500,000 loan.
What is prepaid interest?Prepaid interest charges are charges due at closing for any daily interest that accrues on your loan between the date you close on your mortgage loan and the period covered by your first monthly mortgage payment.
Given that, a $500,000 loan with an APR of 4.725% we need to calculate the prepaid interest on it,
The prepaid interest is calculated by :-
First, you will take your annual interest rate of 4.725% and divide it by 365 to calculate your daily rate = 4.725% / 365
After you have your daily rate, multiply it by your loan amount to calculate your daily loan interest amount = 0.013% × $500,000 = $64.72
Next, you will need to multiply the number of days between your closing and first payment by your daily interest charge = $64.72 × 5 = 323.63
Hence, it will charge $323.63 in prepaid interest on a $500,000 loan.
Learn more about prepaid interest, click;
https://brainly.com/question/2587709
#SPJ2
amantha went shopping and decided to purchase a necklace for 35% off the regular price of $44. If Samantha buys the necklace today, she will save an additional 5%. Find the sale price of the necklace with both discounts. just need answer will give brainliest giving a lot of points will five star
Answer:
$27.17
Step-by-step explanation:
Regular price of necklace = $44
If a discount of 35% is applied, then the new price of the necklace will be 65% of the regular price, as 100% - 35% = 65%
⇒ 65% of $44
= 0.65 × $44
= $28.60
If a second discount of 5% is then applied, the final price of the necklace will be 95% of the sale price, as 100% - 5% = 95%
⇒ 95% of $28.60
= 0.95 × $28.60
= $27.17
Therefore:
The sale price with a 35% discount is $28.60
The sale price with an additional 5% discount is $27.17
[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]
Given :-
The regular price of necklace = $44
Discount on necklace = 35%
Additional save from necklace = 5%
Solution :-
First we have to found the prize of necklace that Amantha had bought at 35% discount
To find this, there is a formula
[tex]new \: price = real \: price - (discount \: percentage \times real \: price) [/tex]
Now we will put our value in this formula
[tex] = 44 - ( \frac{35}{100} \times 44) \\ = 44 - ( \frac{7}{20} \times 44) \\ = 44 - ( \frac{7}{10} \times 22) \\ = 44 - \frac{154}{10} \\ = 44 - 15.4 \\ = 28.6 \:[/tex]
Now will deduct the additional discount from this price by using same formula
[tex] = 28.6 - ( \frac{5}{100} \times 28.6) \\ = 28.6 - ( \frac{1}{20} \times \frac{286}{10} ) \\ = 28.6 - ( \frac{1}{10} \times \frac{143}{10} ) \\ = 28.6 - 1.43 \\ = 27.17[/tex]
Result :-
She spend $27.17 on buying the necklace
u/5 + 6 = 2
what is the value of u?
a. -28
b. 20
с. 40
d. -20
Answer:
D. -20
Step-by-step explanation:
[tex]\frac{u}{5} +6=2[/tex]
[tex]\frac{u}{5} =-4[/tex]
[tex]u=-4(5)[/tex]
[tex]u=-20[/tex]
Hope this helps!
Answer:
D.
Step-by-step explanation:
u / 5 + 6 = 2
-20 / 5 + 6 = 2
-4 + 6 = 2
2 = 2
Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.
Answer:
(0, - 3 )
Step-by-step explanation:
the solution to the system is at the point of intersection of the graphs.
the graphs intersect at (0, - 3 )
then solution is (0, - 3 )
Answer:
(0, -3)
Step-by-step explanation:
The solution is where the two lines intersect. The two lines intersect at the point (0, -3).
I hope it helped you!
Find the surface area please!!! Ignore my writing
Answer:
240m2 (square metre)
Step-by-step explanation:
Just too smart.
PLS HELP AND HURRY!!
Answer:
The answer should be: -2, 0, -8, -18
Which system of equations is better represented by this graph
Solve the right triangle.
Round your answers to the nearest tenth.
Answer: A= 42 degrees
Step-by-step explanation:
A= 180-90-48=42 (degrees)
Answer:
A= 42 degrees
a = 27
c= 40.4
Step-by-step explanation:
48 - 90 = 42 (we know the remaining angle area is 90 because its a right triangle and a traingle is 180 degrees)
to find the answer of a we need to use tan(48) and when you convert that to radians you get 1.1106 ish tan is opposite over adjacent and we know the opposite is 30 but we dont know a so we put [tex]\frac{30}{a}[/tex] = 1.1106 and put a on both sides so you divide 30 by 1.1106 and dget 27.0124 and round to the nearest tenth to get 27
to find c you need to find the hypotanuse which is [tex]a^{2}[/tex]+[tex]b^{2} =c^{2}[/tex]
30 squared is 900 add that to 27 squared which is 729 and you get 1629
find the square root of 1629 to get 40.3608 and then round that to the nearest tentth to get 40.4
What is the solution to 8x - 3(2x - 4) = 3(x - 6)? 6 2 30 No solution
Answer:
The correct answer would be C) 30
A/8 = 3/4 what is the value of A
Answer:
6
Hope This Helps! :)
Foster picked 50 figs and divided them into 5 baskets. If each fig was $3, how much is one basket?
Answer:
$30
Step-by-step explanation:
50÷5=10x3=30
i need help ................
Answer:
The answer is B) 40 yards for $45.00
Step-by-step explanation:
Options:
A) 20 yards per $30.00
B) 40 yards per $45.00
C) 50 yards per $70.00
C) 65 yards per $85.00
Think if buying something at the lowest cost which gives more.
1 yard per $1.00, sounds like a good deal.
20 yards per $30.00 which mean $10.00 more.
40 yeards per $45.00 which mean $5.00 more.
50 yards per $70.00 which mean $20.00 more.
65 yeards per $85.00 which mean $25.00 more.
What are the steps, in the correct order, to write and solve an equation?
Answer:
The correct order is:
1. identify the variable
2. identify the operation
3. write an equation
4. solve the equation
5. check the solution
Step-by-step explanation:
How many terms are in the geometric series 2. 1 + 10. 5 +. 820,312. 5?
O A. 3
OB. 7
O C. 9
O D. 180
Answer:
A. 3
Step-by-step explanation:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient
Work out the missing value in the calculation below
Answer:
5
Step-by-step explanation:
[tex]\frac{2}{3} +\frac{1}{6}= \frac{ }{6} \\[/tex]
Here LCM will be 6. (We made the denominator same)
so, now the equation will be :
[tex]\frac{2}{3}+\frac{1}{6} \\\\ =\frac{4}{6} + \frac{1}{6}[/tex]
= 5/6
So, the value in the red box is 5.
Hope it helps!