Answer:
b
Step-by-step explanation:
The amount of fuel remaining in a gas grill is a function of the number of hours, h that the grill has been used. This relationship can be expressed by the function below. F(h) = 100 - 2h Determine and represent the domain of this function for the problem situation using inequality notation.
Given:
The amount of fuel remaining in a gas grill is a function of the number of hours.
[tex]F(h)=100-2h[/tex]
To find:
The domain for this situation.
Solution:
Domain is the set of input values.
The amount of fuel remaining in a gas grill F(h) is
[tex]F(h)=100-2h[/tex]
where, h is the number of hours.
Here, domain is the set of all possible values of h.
We know that, time and remaining fuel cannot be negative. So,
[tex]h\geq 0[/tex] ...(i)
[tex]F(h)\geq 0[/tex]
[tex]100-2h\geq 0[/tex]
[tex]100\geq 2h[/tex]
[tex]50\geq h[/tex] ...(ii)
Using (i) and (ii), we get
[tex]0\leq h\leq 50[/tex]
Therefore, the domain of the given function is [tex]0\leq h\leq 50[/tex].
8) On Tuesday Heather bought six hats. On
Wednesday half of all the hats that she had
were destroyed. On Thursday there were
only 19 left. How many did she have on
Monday?
PLS HELP
Answer: On Monday, Heather had 32 hats.
Step-by-step explanation: After Heather bought six hats on Tuesday, she had double the amount of 19, since half of her hats were destroyed on Wednesday resulting in 19 left. Double of 19 is 38 hats, meaning she had 38 after she bought six on Tuesday. That means on Monday she had 38 - 6 = 32.
FAST
Which expression is equivalent to rm ÷ rn? (4 points)
rm – n
rm + n
rm • n
rm ÷ n
Roberto has run the first 16 miles of a race, means he is 72% finished. How long is the race?
Answer:
22.22222222
Step-by-step explanation:
Answer:
the race is 22 miles long.
Step-by-step explanation:
p %
~~ = ~~
w 100
solve for x 2x+ 20
66
Answer:
x = 23
Step-by-step explanation:
Alternate exterior angles are congruent if a and b are parallel
2x + 20 = 66
2x = 46
x = 23
Hope this helped!
Which of these is most likely to form a normal distribution?
10 dice rolled 100 times
10 dice rolled 1 times
10 dice rolled 1000 times
010 dice rolled 10 times
Answer: a distribution with a known shape and other properties.
Step-by-step explanation: 10 dice rolled 1000 times
Answer:is below
Step-by-step explanation:
10 dice rolled 100 times
hi so I need help with my math the question says use the long division algorithm to find the decimal value of the fraction -1/4
Answer:
uhm well I'm not sure what you mean by algorithm but just think it like this :
Step-by-step explanation:
think of 1/4 as a quarter and it says the negative
so -.25
66°
OT 6
11
12/13
Find the measure of the angle
what is the speed of an object that travels 210 miles in 7 hours
Answer:
30 miles per hour.
Step-by-step explanation:
Answer:
The speed of the object is 30 miles per hour.
Step-by-step explanation:
210÷7=30
Could I please have BRAINLIEST?
Give the digits in the tens place and the hundredths place.
14.67
Answer:
1 is in the tens and 7 is in the hundredths place.
Step-by-step explanation:
14.67
1 is tens place
4 is ones place
then the . decimal
6 is the tenths place and 7 is the hundredths place
Expand & simplify 3(y+5)-5(y-3)
Answer:
-2y + 30
Step-by-step explanation:
3(y+5)-5(y-3)
Distribute
3y+15 -5y +15
Combine like terms
-2y + 30
Samantha and Caden are planning an end-of-school party for the computer club at their school. They each suggest a recipe for punch to serve at the party.
Samantha's Recipe
3
1
2
parts cranapple juice
2
1
2
parts lemonade
Caden's Recipe
4
1
4
parts cranapple juice
3
3
4
parts lemonade
For each recipe, write a ratio that compares the number of parts of lemonade to the total number of parts.
Which recipe will have the stronger lemon taste? Explain how you determined your answer.
Answer and Step-by-step explanation:
Samantha's recipe has:
3 parts cranapple juice
2 parts lemonade
In total, this recipe has:
t = 3 + 2
t = 5
ratio = [tex]\frac{2}{5}[/tex]
Caden's recipe has
4 parts cranapple juice
3 parts lemonade
In total:
t = 4 + 3
t = 7
ratio = [tex]\frac{3}{7}[/tex]
The punch with stronger lemon taste will be the one whose recipe have a bigger proportion of lemon.
For Samantha's recipe, the proportion is 2 ÷ 5 = 0.4
For Caden's, 3 ÷ 7 = 0.43
Caden's punch will have a slightly stronger taste of lemon, because its proportion is slightly higher than Samantha's.
Can someone please help me I need help
Answer:
8 in
Step-by-step explanation:
Step 1: Define
A = 56
b = 7
A = bh
Step 2: Find h
h = A/b
h = 56/7
h = 8
Answer:
h= 8 inches
Step-by-step explanation:
A= bh; b= 7 inches; Area= 56 inches squared
56= 7h
56/7 = 7h/7
h= 8 inches
hope this helps!
Solve the following system of equations algebraically:
y = 4x^2 + 17x + 14
y = 2x + 5
Answer:
When x = -3 y = -1
When x = -3/4 y = 7/2
Step-by-step explanation:
y = 4x^2 + 17x + 14
y = 2x + 5
Set each equation equal to each other
4x^2 + 17x + 14 = 2x + 5
Subtract 2x from each side
4x^2 + 17x-2x + 14 = 2x-2x + 5
4x^2 + 15x + 14 = 5
Subtract 5 from each side
4x^2 + 15x + 14-5 = 5-5
4x^2 + 15x +9 = 0
Factor
(4x+3) ( x+3) =0
Using the zero product property
4x+3 =0 x+3 =0
4x = -3 x=-3
x = -3/4 x=-3
Now we need to find y for each x
x =-3 y = 2x+5 =2(-3)+5 = -6+5 = -1
When x = -3 y = -1
x = -3/4 y = 2(-3/4) +5 = -3/2 +5 = 7/2
When x = -3/4 y = 7/2
A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of 153800.
Answer:
The number of tickets for sale at $26 should be 3300
The number of tickets for sale at $40 should be 1700
Step-by-step explanation:
Use 2 equations to represent the modifiers within the problem:
[tex]5000 = a + b \\ 153800 = 26a + 40b[/tex]
Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.
[tex]5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)[/tex]
A family travels to Bryce Canyon for three days. On the first day, they drove 140
miles. On the second day, they drove 200 miles. What is the least number of miles
they drove on the third day if their average number of miles per day was at least
180?
A family travels to Bryce Canyon for three days. On the first day, they drove 140 miles. On the second day, they drove 200 miles. What is the least number of miles they drove on the third day if their average number of miles per day was at least 180?
A:To find the average number of something, you would take all of the numbers you want to find the average of, add them together, and divide by the total number of items you added up.
For example: in this question, you have 140 miles, 200 miles, and x miles (the amount of miles they drove on the third day).
You would add all of these miles together and divide by 3, since you added 3 numbers together. This would equal the average.
Finding the average:
Create an equation where all of the miles they drove are added together, divide this expression by 3, and set this greater than or equal to 180 (since they drove at least 180 miles on average).
(140 + 200 + x)/3 ≥ 180Solve for x to find the least number of miles they drove on the third day. Multiply both sides by 3.
140 + 200 + x ≥ 540Combine like terms on the left side of the equation.
340 + x ≥ 540Subtract 340 from both sides of the equation.
x ≥ 200The least number of miles the family drove on the third day was 200 miles, since x can't be anything less than 200.
Answer: x = 200 miles
Plz help me I’ll give brainliest
ILL GIVE BRAINLIST! this is about Determining a scale factor!! the last answer that couldn't fit in the picture is 9| 12_
Answer:
The first one (4cm for height and 3cm for base)
Step-by-step explanation:
the original height is 16cm and base is 12cm
if you multiply them both by 1/4 or 0.25 you get 4 and 3
(16*0.25=4 and 12*0.25=3)
Another way you could do it is to divide 16 and 12 by four and you still get 4 and 3
(16/4=4 and 12/4=3)
Answer:
Is A.
Step-by-step explanation:
The sides of the triangle include numbers 4 and 3 in option A. Mathematically in scale factor form, 16 cm 12 cm divide or multiply evenly into the scale factor of 1/4.
How do you write 6.5 × 10^-1 in standard form?
Two different linear functions are shown below with two points given from each function Use slope-intercept form Function A has The equation of line A is or point-slope form to find the equation of each.
Linear Function A
Points : (-5, -2), (-5, 7)
Linear Function B
Points : (7, -5), (-2, -5)
Which is true about the following:
1. Function A has...
A: Slope of -7
B: Slope of 0
C: Slope of 9
D: No slope
2. The equation of line A is :
A: X= -5
B: Y= -5
C: X= -2
D Y= 7
Function B has...
A: Slope of -7
B: Slope of 0
C: Slope of 9
D: No slope
The equation of Line B is :
A: X= -5
B: Y= -5
C: X= -2
D: Y= 7
Answer:
This answer is option 1
Step-by-step explanation:
The awnser is No slope,x=-5,A slope of 0,and y=-5
A cargo helicopter delivers only 100100100-pound packages and 120120120-pound packages. For each delivery trip, the helicopter must carry at least 101010 packages, and the total weight of the packages can be at most 1{,}1001,1001, comma, 100 pounds. What is the maximum number of 120120120-pound packages that the helicopter can carry per trip?
Answer:
5
Step-by-step explanation:
Given that:
Weight of package delivered = 100 - 120 pounds
Number of packages carried per trip is atleast 10 = ≥ 10
Total weight of packages must be at most 1,100 ≤1,100
The maximum number of 120 pound packages the helicopter can carry:
Maximum capacity = 1100 pounds
Number of packages ≥ 10
Let number of 110 packages carried = x
Number of 120 packages carried = y
x + y ≥ 10 - - (1)
100x + 120y ≤ 1100 - - - (2)
From (1): x ≥ 10 - y
100(10 - y) + 120y ≤ 1100
1000 - 100y + 120y ≤ 1100
1000 + 20y ≤ 1100
20y ≤ 1100 - 1000
20y ≤ 100
y = 5
y = number of 120 pound packages carried
y = 5
Answer:
5
Step-by-step explanation:
Let
x = number of 100 pound packages
y = number of 120 pound packages.
For each delivery trip, the helicopter must carry at least 10 packages.
x + y ≥ 10
x ≥ 10 - y
Total weight of the packages the helicopter can deliver can be at most 1,100 pounds
100x + 120y ≤ 1100
Divide through by 20
5x + 6y ≤ 55
Substitute x ≥ 10 - y into the equation
5(10 - y ) + 6y ≤ 55
50 - 5y + 6y ≤ 55
y ≤ 55 - 50
y ≤ 5
Therefore, the maximum number of 120 pound packages helicopter can carry is 5.
Is 25 x 10 to the power of 0 in scientific notation? If not, explain. Use pencil and paper. Explain why 10 is used as the base in the second scientific notation factor.
Answer:
a) Scientific notation is written as a unit digit, that can have other digits after the decimal place, multiplied by 10 to the power of n, where n can be any integer number.
Then 25x10^0 is not scientific notation, because there are two digits at the left of the decimal point.
The scientific notation would be:
2.5x10^1
b) Why is this useful?
Because we divide all our measures in powers of 10.
For example, you know that 1 meter = 100c
But we can also write this as:
1m = 1.0*10^3 cm.
The use of scientific notation comes useful because we can have a fast read of the dimensions of our measure, and in another hand, is way easier work with the 10 as a base when we solve equations.
How do you do this? It really confuses me.
The points (5, 5) and (4, 3) fall on a particular line. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
you substitute 4x=34
Step-by-step explanation:
Which ordered pairs make both inequalities true? Select two options.
15142
y 231+1
Answer: The points C(1,2) and E(2,2) make both inequalities true
Step-by-step explanation:
we have
-----> inequality A
The solution of the inequality A is the shaded area below the dashed line
------> inequality B
The solution of the inequality B is the shaded area above the solid line
The solution of the system of inequalities is the shaded area between the dashed line and the solid line
see the attached figure
Remember that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities and the point lie on the shaded area of the solution
Plot the points and verify if lie on the shaded area
Let
see the attached figure
The points C(1,2) and E(2,2) lie on the shaded area
The points A(-1,3) and B(0,2) satisfy inequality B but don't satisfy inequality A
The point D(2,-1) satisfy inequality A but don't satisfy inequality B
therefore
The points C(1,2) and E(2,2) make both inequalities true
Miles
Minutes
Martin's running ability is measured by this proportion:
1 3
7 21
1
7
Use the proportion to identify the values of the variables
that complete the rate table
3
21
a =
7
a
b=
CE
b
70
15
c
Answer:
the answer is
a=49
b=10
c=105
(?)^2-3(?)=-2 can anyone solve this
Answer: x = 1 or x = 2
Sub in x for ?:
x^2-3x = -2 (Move all the terms to one side, and set the equation to equal 0)
x^2-3x+2 = 0 (Factor the simple trinomial by finding two numbers that multiply to 2 and add to -3)
x^2-x-2x+2 = 0 (Factor the expression)
x(x-1)-2(x-1) = 0 (Group like terms)
(x-1)(x-2) = 0 (Solve for x by setting each term equal to 0)
x-1 = 0
x = 1
x-2 = 0
x = 2
∴ x = 1 or x = 2.
PARTA
☺
It takes Mrs. Miklos 5 minutes to grade 7 quizzes. At this rate, how many quizzes can she grade in 15 minutes?
Answer:
21 quizzes
Step-by-step explanation:
Divide 15 by 5 to know how many 5 minutes are in 15 minutes.
[tex]15 \div 5 = 3[/tex]
5 minutes are spent for 7 quizzes.
5 × 3 minutes are spent for 7 × 3 quizzes.
[tex]7 \times 3 = 21[/tex]
Mrs. Miklos can grade 21 quizzes in 15 minutes.
20 points!!
(5x-19)^2 < (x-23)^2
please someone help me with this inequality :c
Answer:
[tex]x (-1,7)[/tex]
Step-by-step explanation:
We need to square a binomial.
The following rule is applied:
[tex](5x)^2+2*5x(-19)+(-19)^2<x^2+2x(-23)+(-23)^2[/tex]
In our example,
[tex]A^2+2AB+B^2=(A+B)^2[/tex]
A is equal to 5x,
B is equal to -19 and
N is equal to 2.
[tex]5^2*x^2-2*5x*19+19^2<x^2x-23+23^2[/tex]
Solve for X
?????????????,??????,?,,,,,,,??????
Answer:
X= 10°
Step-by-step explanation:
Those two angles equal the same, knowing this we make them equal each other to solve them in an equation.
6x+34=8x+14
Then you solve, add the x's together, and the numbers together.
34-14=8x-6x
20=2x
Then you divide to find X
20/2= 10°
X= 10°
Step-by-step explanation:
6x+34=8x+14
34-14=8x-6x
2x=20
x=20/2
x=10
Should it matter if areas far from large cities lose population?
Answer:
It should.
Step-by-step explanation:
If a nearby city is losing people then the large city should try to help.