Answer:
Y=30
Step-by-step explanation:
we know that Y+150=180 as it is a linear pair
so, Y= 108-150
which will be 30
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 miles2. La suma de los cuadrados de dos números reales pares consecutivos es 52
Encuentra los números
Answer: ±4 y ±6
Step-by-step explanation:
Algunas definiciones:
Sea N un numero real.
El cuadrado de un numero es:
N^2.
Ahora, nos dicen que N es par, entonces podemos escribir:
N = 2*n
donde n es un numero entero.
Y el par consecutivo a N, va a ser M = N + 2.
M = 2*n + 2.
Entonces:
"La suma de los cuadrados de dos números reales pares consecutivos es 52"
(2n)^2 + (2n + 2)^2 = 52
Tenemos que resolver esto para n.
4n^2 + 4n^2 + 8n + 4 = 52
Entonces tenemos una ecuación cuadrática:
8*n^2 + 8n + 4 - 52 = 0
8*n^2 + 8n - 48 = 0
Antes de usar la ecuación de Bhaskara, dividamos todos los coeficientes por un factor común, en este caso 8 es un factor común:
(8*n^2 + 4n - 48)/8 = n^2 + n - 6 = 0.
Ahora resolvamos esto para n, las dos soluciones son
[tex]n = \frac{-1 +-\sqrt{1^2 - 4*1*-6} }{1*2} = \frac{-1 +- 5 }{2}[/tex]
Entonces las dos soluciones son:
n = (-1 - 5)/2 = -3
n = (-1 + 5)/2 = 2
Entonces, si tomamos la primer solucion, los numeros consecutivos son:
N = 2*-3 = -6
M = N + 2 = -4
Si tomamos la segunda solucion, n = 2.
N = 2*2 = 4.
M = N + 2 = 6.
Entonces podemos concluir que las soluciones son:
±4 y ±6
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
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
ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!!!!!!
Answer:
D. Whole Numbers
Whole numbers only contain 0 on, with no negatives, fractions, or decimals.
Please mark me Brainliest, I need it to move onto the next level.
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.
Plz help me I’ll give brainliest
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!
HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!
(?)^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.
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
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
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:
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?
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
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.
What is the difference between slope and average rate of change ?
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.
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
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]
Company XYZ has 97 employees. 31 Of the employees are vegetarian, 36 of the employees owns a Nissan Leaf and 6 of the employees are vegetarian and own a Nissan Leaf. If you randomly select an employee from company XYZ, what is the probability that the employee is vegetarian or that she/he owns a Nissan Leaf?
Answer: [tex]\dfrac{61}{97}[/tex]
Step-by-step explanation:
Let V = Event of selecting vegetarian employee
N = Event of selecting employee who owns a Nissan Leaf.
Given: Total employees = 97
n(V) = 31
n(N) = 36
n(N and V) = 6
By formula,
n(N or V) = n(V) + n(V) - n(N and V)
= 31+36-6
=61
By probability formula,
[tex]P(N \ or \ V)=\dfrac{n(N\ or\ V)}{Total }\\\\=\dfrac{61}{97}[/tex]
Hence, the probability that the employee is vegetarian or that she/he owns a Nissan Leaf = [tex]\dfrac{61}{97}[/tex]
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
7. 2y + 13.2 =78
у =
Step-by-step explanation:
I hope it will help you here's the answer
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!
(3 + zi) (3 + 4i) - (3 + zi) (3 - 2i)
Express in simplest a+bi form
Answer:
Step-by-step explanation:
9+12i+3zi+4zi²-(9-6i+3zi-2zi²)
= 9+12i+3zi+4zi²-9+6i-3zi+2zi²
= 18i+6zi²
= i(18+6zi) or 6i(3+zi)
i hope this is the anwer you're looking for
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
The Newton city park has 11 basketball courts which are all in use. There are 54 people playing basketball some are playing one on one and some are playing in teams. A one on one game requires two players and a team game requires 10 players. Write a system of equations that represents the number of one on one and team games being played
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Number of basket ball courts = 11
Total number of people playing basketball = 54
Number of players required for one on one game = 2
Number of players required for team game = 10
Inequality to represent number of one on one and team Games being played :
Let one on one games = a
Team games = b
Number of players required for each game * number of games
2a + 10b = 54 - - - (1)
a + b = 11 - - - (2)
a = 11 - b
2(11 - b) + 10b = 54
22 - 2b + 10b = 54
8b = 32
b = 4
a = 11 - b
a = 11 - 4
a = 7
Number of one on one games = 7
Number of Team games = 4
How do you write 6.5 × 10^-1 in standard form?
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.