Given:
Temperature in the morning = -2 degrees.
Temperature is dropping at a constant rate.
Temperature after 4 hours = -22 degrees.
To find:
The rate of change of temperature.
Solution:
Let y be the temperature after x hours from the morning.
Temperature in the morning is -2 degrees. It means, the ordered pair is (0,-2).
4 hours later the temperature is now -22 degrees. It means, the ordered pair is (4,-22).
Now, formula for average rate of change or slope is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{-22-(-2)}{4-0}[/tex]
[tex]m=\dfrac{-22+2}{4}[/tex]
[tex]m=\dfrac{-20}{4}[/tex]
[tex]m=-5[/tex]
Therefore, the change in temperature is -5 per hour. It means the permutate is decreasing by 5 degrees per hour.
Amelia is selling potted plants at her nursery. She charges $12 for each succulent and $4 for each ivy. She sold 34 potted plants and made $240. How many of each plants did she sell?
Let, she sold x and y numbers of succulent and ivy plants.
So,
x + y = 34 ...1)
12x + 4y = 240 ...2)
Putting value of x from 1) to 2), we get :
12( 34 -y ) + 4y = 240
408 - 12y + 4y = 240
8y = 168
y = 21
x = 13
Therefore, she sell 13 succulent and 21 ivy plants.
Hence, this is the required solution.
Coach Dan has decided to surprise the athletic department's team members with new hats. Hats are sold in boxes of 18. If there are a total of 168 team members he would like to buy hats for, how many boxes would he have to order? Explain your reasoning.
Answer:
10 boxes
Step-by-step explanation:
Let's say Coach Dan orders b boxes.
Then since there are 18 hats in each box, we will have a total of 18b hats.
We would like to buy enough for 168 team members, so let's set 18b equal to 168 and solve for b:
18b = 168
b = 168/18 = 9.33
Well, we clearly need at least 9 boxes, but it's not possible to have 0.33 of a box. Thus, we must order one more box for a total of 10 boxes.
There tell me if u want brainliest
Answer:
hello thanks sooo much i want brainliest
Step-by-step explanation:
write the equation of the line shown on the graph in slope intercept form.
(I’m marking brainliest ❤️)
Step-by-step explanation:
u should number the graph first 1- how ever many not alot ill say through 10 and den on the bottom y/ X axis are negatives and den u have to count the numbers to wherever the point is and if I don't make sense plz text me ♀️
2.)
Eric bought a boat for $5,000. There was an 8% sales tax.
How much was the sales tax?
Answer:
$400
Step-by-step explanation:
Convert the equation to the standard form of a parabola and graph the parabola, the
focus, and the directrix.
y2-12 x - 4y+64=0
Answer:
Graph x2 = 4y and state the vertex, focus, axis of symmetry, and directrix. ... this "algebraically" by rearranging the given equation into the conics form: ... picking y-values first and then finding the corresponding x-values for x = –y2 – 10y – 25: ... find the exact vertex, etc, I'll need to convert the equation to perfect-square form.
Step-by-step explanation:
If you cut 4 equal pieces of 8 3/4' from a piece of wood that is 39' long,
how much of the piece would you have remaining?
Answer:
1 inch
Step-by-step explanation:
4 times 8 3/4 is 38 and 39 minus 38 is 1
3 3/8 + 1 1/4 help meeeee pleaseee
Answer:
37/8 (fraction) or 4.625 (decimal) or 4 5/8 (mixed number)
Step-by-step explanation:
Rewrite the following equation in standard form.
y = -x-1
Answer:
x+y=-1
Step-by-step explanation:
Someone please help will mark as brainliest
Answer:
Step-by-step explanation:
7: B
8: D
9: C
10: 1/2
HELP ILL GIVE BRAINLY IF RIGHT !
ROYGBIV is an
a.
Acronymic sentence
c.
Flashcard
b.
Acronymic abbreviation
d.
None of these
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Step-by-step explanation:
im pretty sure its c soo
Step-by-step explanation:
C because tjejkeksso akkaka
Which of the following is another way to express the equation 8 - (-d) = 43?
Answer:
8 - 35 = 43
Step-by-step explanation:
Im not sure if that is the answer you are looking for. If not, can your clarify and show me the answer choices?
Answer:
8 + d = 43
Step-by-step explanation:
We are doing inverse operations so we need to do addition instead of subtraction.
Hope this helped!
what is 100 * 100 the anser is 1000
Answer:
yes
Step-by-step explanation:
Answer:
No it is 10,000
Step-by-step explanation:
100*100 is like adding 2 zeros to 100. so 1 zero would make it 1000, and 2 zeros would make it 10,000
Sales Daria sells televisions. She earns a fixed amount for each television and an additional $30 if the buyer gets an extended warranty. If Daria sells 15 televisions with extended warranties, she earns \$1,500 . How much is the fixed amount Daria for each television? The fixed amount Daria ears for each television she sells is
Answer:
$70
Step-by-step explanation:
Daria's total income = fixed income + variable income
Let
Daria's Fixed income = x
additional $30 if the buyer gets an extended warranty
Daria's variable income = 30s
Where,
s = number of televisions with extended warranties she sells
If Daria sells 15 televisions with extended warranties, she earns \$1,500. Find her fixed income
Daria's total income = fixed income + variable income
1500 = x + 30(15)
1500 = x + 450
1500 - 450 = x
1,050 = x
x = $1,050
Daria's total fixed income = $1,050
How much is the fixed amount Daria for each television?
Fixed income per television = Total fixed income / number of television sold
= 1050 / 15
= 70
Fixed income per television = $70
Christopher's parents want to be sure he continues to read over the summer break. They made him a deal that for every 7 minutes of reading, he will earn 2 minutes of video game time. If he reads for 147 minutes, how many minutes of video game time will he earn?
Answer:
Step-by-step explanation:
(147/7)x2
42 minutes of video game time
You have 20 coins valued at 2.60. All are either quarters or nickels. Write and solve a system of equations to find the number of each coin you have.
To solve this problem you must apply the following proccedure:
1. You have a total of 21 coins, all nickels and dimes. Then:
x:nickels=5 cents
y: dimes=10 cents
x+y=21
2. You have that the total value is $1.70. Then:
5x+10y=170
3. The system of equation is:
x+y=21 (i)
5x+10y=170 (ii)
4. You have:
x+y=21
x=21-y
5(21-y)+10y=170
105-5y+10y=170
y=13 dimes
x+13=21
x=8 nickels
A police officer wears a belt that carries an extra 10 pounds on their waistline. The police officer weighs p pounds.
Which equation can be used to find p, the total weight of police officer with the weighted belt?
t=p+10
t = 10-P
t=p-10
t = 10p
Answer: T = 10p
Step-by-step explanation: Since we don't know what is the total weight, we put the an variable, T to represent the total weight. The 10p means that the poilce officer gained 10 Pounds.
The “box” part of a box-and-whisker plot represents __________.
A.
the lower half of the data set
B.
the middle half of the data set
C.
the upper half of the data set
D.
the entire data set
B. the middle half of the data set
PLEASE HALP FAST ILL GIVE BRAINLIESTTT
Answer:
no one is equivalent to it
Multiply
1) (3x +2y) (2x-3y)
2) (3a +4) (7a -2)
3) (17y2+x2) (2y2+x2)
4) (3x2+x +1) ( 2x2+4)
5) (3x2–4y ) ( 6x2–7y
Find the measure of the indicated angle to the nearest degree.
A. 70
B. 20
C. 89
D. 68
Find the slope and y intercept last question please help
Answer: slope is -4 y intercept is (0,-8)
Step-by-step explanation: you have to use the slope intercept form y = mx + b to find the slope and y intercept
solve the proportion 9/2 = 27/2y
Answer:
y = 3
Step-by-step explanation:
We need to solve the below proportion in this problem,
[tex]\dfrac{9}{2}=\dfrac{27}{2y}[/tex]
First of all, we cross multiply both sides such that,
[tex]9\times 2y=27\times 2\\\\18y=27\times 2[/tex]
Dividing both sides by 18.
[tex]y=\dfrac{27\times 2}{18}\\\\y=3[/tex]
For the above proportion, we find that the value of y is equal to 3.
In a 30°-60°-90° triangle, what is the length of the longer leg when the length of the hypotenuse is 18 inches?
9✓2 in.
9✓3in.
18✓2 in.
18✓3in.
Answer:
9sqrt(3) in.
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
If the short leg measures 1, then the hypotenuse measures 2.
The length of the hypotenuse is twice the length of the short leg.
The length of the long leg is sqrt(3) times the length of the short leg.
If the hypotenuse measures 18 in., then the short leg measures 9 in.
Then the long leg measures 9sqrt(3) in.
The length of the longer leg is 9√3 inches.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, the length of the hypotenuse is 18 inches.
The ratio of the lengths of the sides of a 30°-60°-90° triangle is:
Short leg: long leg: hypotenuse = 1 : √3 : 2
Since the hypotenuse is 18 inches, it follows that the value of 2 is 18:
2 = 18
1= 9
√3 = 9√3
Hence, the length of the longer leg is 9√3 inches.
To learn more about ratios, click here:
https://brainly.com/question/13419413
#SPJ2
PLEASE HELPP
What are the two steps for solving an equation or inequality?
A. 1) combine like terms. 2) isolate the variable
B. 1) add the opposite. 2) multiply by the reciprocal.
C. 1) put the numbers together. 2) solve for x.
Answer:
A
Step-by-step explanation:
1) combine like terms. 2) isolate the variable
Answer:
1. Multiply by the reciprocal
2. Put the no. Together
The actual distance from Valparaiso, Indiana to Madison, Wisconsin is 145 miles. If the scale on the map is 1 in = 25 miles, how far apart, in inches, are they on the map?
Answer:
5.8
Step-by-step explanation:
145/25
Student council is selling candy bars to raise money for the for Halloween dance because the student council $173 to rent a booth and $.45 for each candy bar. They sell the candy bars for $5 each. How many candy bars mostly so so that the money they spend is the same amount as they make
Answer:
The student council needs to sell 38 candy bars so that the money they spend is the same amount as they make.
Step-by-step explanation:
You have to write an expression where the price they spent that includes the money to rent a booth and the amount paid for each candy bar for the number of candy bars purchased is equal to the money spent that is the price at which they sell the candy bars for the number of candy bars sold:
173+0.45x=5x, where x is the number of candy bars
Now, you can solve for x:
173=5x-0.45x
173=4.55x
x=173/4.55
x=38
According to this, the answer is that the student council needs to sell 38 candy bars so that the money they spend is the same amount as they make.
two triangles are similar, and the ratio of the corresponding sides is 1:5, and which of the following is true?
a. Their corresponding sides are congruent.
b. Their corresponding angles are in a ratio of 1:5
c. Their areas have a ratio of 1:5.
d. their perimeters are in a ratio of 1:5
Answer:
c
Step-by-step explanation:
Answer:
d. their perimeters are in a ratio of 1:5
Explaination
A is untrue because the sides have the ratio of 1:5, explained in the quastion, so they are not equal/congruent.
B is untrue because the angles are the same in both triangles because the triangles are similar, mentioned in the question.
C is untrue because the ratio of area is squared to the ratio of the perimeter, so the actual areas would be 1:25.
Calculate the speed of a 5.2 kg object that possesses 26.1 J of kinetic energy
The speed of object is 3.68m\s.
Given that,
Mass of the object = 5.2 kg,
Object that possesses 26.1 J of kinetic energy.
We have to find,
The speed of the object.
According to the question,
Kinetic energy is a form of energy that an object or a particle has by reason of its motion.
If work, which transfers energy, is done on an object by applying a net force, the object speeds up and there by gains kinetic energy.
Then, The formula of kinetic energy is given as,
[tex]K.E = \frac{1}{2} mv^{2}[/tex]
Where, m = mass of the object
And v = speed of the object
Therefore, The speed of the object calculated as.
[tex]KE = \frac{1}{2} mv^{2} \\\\26.1 = \frac{1}{2} \times 5.2\times v^{2} \\\\26.1 = 2.6 \times v^{2} \\\\\frac{26.1}{2.6} = v^{2} \\\\v^{2} = 10.1\\\\v = \sqrt{10.1} \\\\v = 3.68[/tex]
Hence, The speed of object is 3.68m\s.
For more information about kinetic energy click the link given below.
https://brainly.com/question/20339401
What is the equation of this line?
A. y = 3/2x
B. y = -3/2x
C. y = 2/3x
D. y = -2/3x
Answer:
c
Step-by-step explanation: