A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week. 1. Create a system of equations or inequalities that models the situation. Define the variables you use.
Answer:
15x=300, x=20
20x=300, x=15
Step-by-step explanation:
Answer:
:)
Step-by-step explanation:
15x=300
x will equal 20
20x=300
x will equal 15
Which expressions are equivalent to (5g+3h+4)•2?
Answer:
nc
Step-by-step explanation:
nc
please help me with this I'll give brainliest to best answer!
Answer:
Liner
Step-by-step explanation:
17,21,18,20,24
Match each inequality to the correct graph.
Answer: Hope this helps
Find the value for x for which r ll s. Then find m<1 and m<2. m<1 = (60-2x)to the zero power m<2 = (71 - 3x)to the zero power. The value for x for which r || s is ?
pls answer the question
an = −11+5(n−1)
Answer: 5n−16
Step-by-step explanation: Distribute:
=−11+(5)(n)+(5)(−1)
=−11+5n+−5
Combine Like Terms:
=−11+5n+−5
=(5n)+(−11+−5)
=5n+−16
find the sum of 10x^2-6 and x +6
Answer:
10x2+x
Step-by-step explanation:
Two triangular tiles each have two sides measuring four inches. Which is a true statement?
A) Their corresponding angles are congruent.
B) The triangles are congruent.
C) The triangles may be congruent.
D) The triangles cannot be congruent.
Answer:
C; The triangles may be congruent
Step-by-step explanation:
Here, we have two sides of the each of the triangles equal already
By congruency, we might have SSS or SAS
if SSS, this mean that all the sides are equal
Since we do not know the measure of the third side, we cannot say that they are not congruent or they are congruent
Also, we do not know the measure of the angles of the triangles
If we have an angle that is equal in the two triangles, then we can have congruency through SAS
But since we do not know how these measures, we use the word ‘may’
It cost $20 plus $1.50 per hour to rent a golf cart. Write an equation showing the relationship between the cost of renting a cart (y) and the number of hours it was rented (x).
Answer:
y=20+1.5x
Step-by-step explanation:
The cost of renting a golf cart is equal to $20 plus $1.50 per hour.
let y=the cost of renting a golf cart
let x=the # of hours
y=20+1.5x
Leah and her children went into a restaurant and will buy hotdogs and tacos. She
must buy a maximum of 13 hotdogs and tacos altogether. Write an inequality that
would represent the possible values for the number of hotdogs purchased, h, and the
number of tacos purchased, t.
Answer:
The equation to solve this is: h + t is less than or equal to 13
Step-by-step explanation:
Pls Help plsssssssss
There are 85 girls and 70 boys in the sixth grade. Of these students, 14
girls and 8 boys take piano lessons. What percentage of the sixth
graders at this school take piano lessons?
Answer:
14.2%
Step-by-step explanation:
85+70= 155
155=100%
22=?
22×100%÷155
= 14.1935
hence answer is 14.2%
Consider the absolute value inequality: |x - 6| > 20. Will the graph of the solutions to the inequality result in an "and" or an "or" inequality? Without solving to find the exact solutions, explain
Step-by-step explanation:
Case 1 : |x| > a, => x > a or x < -a
Case 2 : |x| < a, => -a < x < a
Since this question follows Case 1, we will have an "or" inequality.
Question in picture solve
Answer:
Bike 1
Step-by-step explanation:
If you look at the graph, you'll see that Bike 1 went 9 feet but Bike 2 is at about 7.5 feet in 6 seconds.
In the diagram above, mZABC = (3x-1), mZCBD = (2x)°, and mZDBE = (4x + 1)º. Find mZABC, mZCBD, and
mZDBE. Assume that ZABE is a straight angle.
A. ZABC = 290, mZCBD = 20°, and mZDBE = 1319
B. ZABC = 59°, mZCBD = 20°, and mZDBE = 101°
C. m ABC = 59, mZCBD = 40°, and MZDBE = 81°
Dm ABC = 61º, mZCBD = 390, and mDBE = 80°
Step-by-step explanation:
3x -1 +2x + 4 x +1 = 180
9x = 180
X= 20
<ABC = 59
< CB D = 40
< DBE = 81
We are standing on the top of a 1680 ft tall building and throw a small object upwards. At every second, we measure the distance of the object from the ground. Exactly seconds after we threw the object, it’s height, (measured in feet) is
ℎ= -16^2 + 256 + 1680
a.) Find ℎ when = 3.
b.) How much does the object travel during the two seconds between 5 seconds and 7 seconds?
c.) How long does it take for the object to reach a height of 2640 ft?
d.) How long does it take for the object to hit the ground?
Answer:
a) The height of the small object 3 seconds after being launched is 2304 feet.
b) The small object ascends 128 feet between 5 seconds and 7 seconds.
c) The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.
d) The object will take 21 seconds to hit the ground.
Step-by-step explanation:
The correct formula for the height of the small object is:
[tex]h(t) = -16\cdot t^{2}+256\cdot t+1680[/tex] (1)
Where:
[tex]h[/tex] - Height above the ground, measured in feet.
[tex]t[/tex] - Time, measured in seconds.
a) The height of the small object at given time is found by evaluating the function:
[tex]h(3\,s)= -16\cdot (3\,s)^{2}+256\cdot (3\,s)+1680[/tex]
[tex]h(3\,s) = 2304\,ft[/tex]
The height of the small object 3 seconds after being launched is 2304 feet.
b) First, we evaluate the function at [tex]t = 5\,s[/tex] and [tex]t = 7\,s[/tex]:
[tex]h(5\,s)= -16\cdot (5\,s)^{2}+256\cdot (5\,s)+1680[/tex]
[tex]h(5\,s) = 2560\,s[/tex]
[tex]h(7\,s)= -16\cdot (7\,s)^{2}+256\cdot (7\,s)+1680[/tex]
[tex]h(7\,s) = 2688\,s[/tex]
We notice that the small object ascends in the given interval.
[tex]\Delta h = h(7\,s)-h(5\,s)[/tex]
[tex]\Delta h = 128\,ft[/tex]
The small object ascends 128 feet between 5 seconds and 7 seconds.
c) If we know that [tex]h = 2640\,ft[/tex], then (1) is reduced into this second-order polynomial:
[tex]-16\cdot t^{2}+256\cdot t-960=0[/tex] (2)
All roots of the resulting equation come from the Quadratic Formula:
[tex]t_{1} = 10\,s[/tex] and [tex]t_{2}= 6\,s[/tex]
The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.
d) If we know that [tex]h = 0\,ft[/tex], then (1) is reduced into this second-order polynomial:
[tex]-16\cdot t^{2}+256\cdot t +1680 = 0[/tex] (3)
All roots of the resulting equation come from the Quadratic Formula:
[tex]t_{1} = 21\,s[/tex] and [tex]t_{2} = -5\,s[/tex]
Just the first root offers a solution that is physically reasonable.
The object will take 21 seconds to hit the ground.
A jewelry store is having a going out of busniess sale. All merchandise is marked 40% off the reguler price. The regualr price of a watch is $59.95. Find the amount of the discount and the sale price.
Answer:
Amount of the Discount: $23.98
Sale Price: $35.97
Step-by-step explanation:
In order to calculate the discount we first need to turn this percentage into a decimal by dividing it by 100. Once we have it in decimal form we subtract that value from 1. Finally, we multiply this new decimal by the original price in order to obtain the sale price like so...
40 / 100 = 0.40
1 - 0.40 = 0.60
0.60 * 59.95 = 35.97
Now we have the sale price which is $35.97 now we can subtract this value from the original price to calculate the amount of the discount.
59.95 - 35.97 = 23.98
2. Solve (x – 4)(x + 7). (2 points) O x = 4, X= 7 X = =4, x = -7 x = 4, X = -7 X = -4, X = 7
Answer:
X = 4, x = -7
Step-by-step explanation:
You can set each equation in the parenthesis Equal to 0.
x - 4 = 0 and x + 7 = 0
start with x - 4 =0
add 4 to both sides
x = 4.
then do x +7 =0. subtract 7 from both sides.
x = -7
so x =4, and x = -7
somebody please help me thansk
Answer:
y=-2x-1
Step-by-step explanation:
What is 1+2+3+4+5+6+7+8+9+10=?
have a great day!! :)
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
Answer:
55
Step-by-step explanation:
9 + 1 = 10
8 + 2 = 10
7 + 3 = 10
6 + 4 = 10
5 + 10 = 15
10 + 10 + 10 + 10 + 15 = 55
2x + 22 = 4(x + 3)
Please help me
Answer: x=5
Step-by-step explanation:
2x+22=4(x+3)
First distribute
2x+22=4x+12
Now intractable 2x from both sides
22=2x+12
Now subtract 12 from both sides
10=2x
Now divide by 2 to get x alone
5=x
So
x=5
Answer:
The answer is x = 5, see comments for explanation.
2.332 divided by 2.2
Answer:
1.06
Step-by-step explanation:
2.332 divided by 2.2
= 1.06
Hope this helped!
Answer:
1.06
Step-by-step explanation:
The Jones family eats 2/3 of a packet of biscuits every day. How long will 27 packets last the family?
Answer:
40 1/2 days
Step-by-step explanation:
Quantity of biscuits the Jones eats daily = 2/3 of a packet
Total packets of biscuits = 27 packets
How long will 27 packets last the family?
= Total packets of biscuits / daily intake of biscuits of the Jones
= 27 ÷ 2/3
= 27 × 3/2
= 81 / 2
= 40 1/2 days
What's 7 times 2 plus 5 to the 3rd power
Answer:
139
Step-by-step explanation:
7x2+5^3 = 139
(x + 3)(x^2 - 5x + 7)
write in standard form once you find answer.
Need help ASAP! Thanls
Answer:
B. Angle KJL
Step-by-step explanation:
The only option that is 90 degrees is Angle KJL.WILL CHOOSE BRAINLIEST!!!!!!!!!!!!!
30 points!!!!!!!!!!
12x^2 y for x=–0.3,y= 1/6
Answer:
0.18
Step-by-step explanation:
pls help me with this
btw the question
asks what v(-2) means in this situation
Answer:
20
Step-by-step explanation:
Which graph represents a linear function of x?
Answer:
A
Step-by-step explanation:
Sally put dots on a place value chart to show a number. She had a total of 10 dots. She put 3 in the tens place, 5 in the hundreds place, and 2 in the thousands place. Which of these is Sally’s number?
A.
253
B.
2503
C.
2530
D.
25,300