Answer:
18/5
Step-by-step explanation:
Which graph represents the solution to 5 +8x <3(2x + 4)?
A:
-10-9-8 -7 -6 -5 4 -3 -2 -1 0
1
2
3
4
5
6 7 8
9 10
B:
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
3
4 5 6 7 8 9 10
C:
-10 -9-8-7-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
D:
-10-9-8-7-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
A
B
D
Answer:
Option D
Step-by-step explanation:
Given the inequality statement: 5 + 8x < 3(2x + 4):
We must solve for the solution of the given inequality statement.
First, distribute 3 into the parenthesis:
5 + 8x < 3(2x + 4)
5 + 8x < 6x + 12
Next, subtract 6x from both sides:
5 + 8x - 6x < 6x - 6x + 12
5 + 2x < 12
Then, subtract 5 from both sides:
5 - 5 + 2x < 12 - 5
2x < 7
Divide both sides by 2 to solve for x:
[tex]\displaystyle\mathsf{\frac{2x}{2}<\:\frac{7}{2}}[/tex]
[tex]\displaystyle\mathsf{x<\:\frac{7}{2}}[/tex]
Since [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] = 3.5, and that the inequality symbol is "<," then it means that [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] or 3.5 is not included as an endpoint. This corresponds to an empty circle on the 3.5 mark on the number line, pointing towards the left (indicating that the values must be less than 3.5).
Therefore, the correct answer is Option D.
Vinnie is searching online for airline tickets. Two weeks ago, the cost to fly from Hartford to Denver was $220. Now the cost is $305. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer: 58
Step-by-step explanation:
Answer:
Question 1. 38.6 % 2. 61.4%
Step-by-step explanation:
(New Cost - Old Cost) ÷ old Cost × 100
(305 - 220) ÷ 220 x 100
= 85/220 x 100
= 38.6 %
2. New Cost 305 + 50 = $355
(Now new cost - old cost) ÷ old cost × 100
(355 - 220) ÷ 220 × 100
= 135/220 × 100
61.4%
Budgets
Terrance budgets $435 of his salary for car expenses. His salary is $2,900. What percent of his salary is
budgeted for car expenses?
Answer:
15%
Step-by-step explanation:
there are a total of 45 bikes. if the ratio of blue bikes to black bikes is 4 to 5, how many of the bikes are blue?
Answer:
20
Step-by-step explanation:
4 + 5 = 9
45 / 9 = 5
4 * 5 = 20
hope this helps
A large serving of soup from a take-out restaurant is 4/5 liter. The restaurant has 3 liters of soup. The diagram models the number of servings of soup.
How many servings of soup does the restaurant have?
Answer:
The answer is 2 and 2/5 i hope this can help.
Step-by-step explanation:
Tessa wants to install a zipline between two trees. The zipline will be strung between the trees at points 42 feet and 3 feet high. Suppose the trees are 60 feet apart. What is the length of the zipline to the nearest tenth of a foot
The length of the zipline is found using Pythagoras's theorem, which gives
the length of the hypotenuse side of a right triangle.
Length of the zipline is approximately 71.56 feetReasons:
Height at which the zipline will be tied to one of the trees = 42 feet
Height at which the zipline will be tied to the other tree = 3 feet
The distance between the trees = 60 feet
Required:
The length of the zipline
Solution:
The length of the zipline is found as follows;
Taking one of the trees to be at the origin, the coordinates of one of the tying point = (0, 42)
The coordinates of the other tying point = (60, 3)
The in the imagined right triangle formed by the zipline and the distance
between the trees, the length of the zipline is given by Pythagoras theorem
as follows;
Length of zipline = [tex]\sqrt{(60 - 0)^2 + (3 - 42)^2} = 3 \cdot \sqrt{569}[/tex] ≈ 71.56
Length of the zipline ≈ 71.56 ft.
Learn more here:
https://brainly.com/question/14463850
I need help because all the answer choices my teacher put were wrong so I dont know what to do
Answer:
Equivalent Expression: [tex]\displaytext\mathsf{\frac{a^7}{b^8}}[/tex]
Step-by-step explanation:
Given the exponential expression, [tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}}[/tex]:
We could use the Quotient Rule of Exponents where it states that:
[tex]\displaystyle\mathsf{\frac{a^m}{a^n}\:=\:a^{(m\:-\:n)}}[/tex]
Since we have the variables, a and b as the base, we could simply apply the Quotient Rule and subtract their exponents.
[tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}\:=\:a^{(12\:-\:5)}\:b^{(-3\:-\:5)}}[/tex]
[tex]\displaytext\mathsf{=\:a^{7}\:b^{-8}}[/tex]
Next, we must transform the negative exponent of base, b, into positive by applying the Negative Exponent Rule, where it states that:
[tex]\large\text{$ a^{-n}\:=\:\frac{1}{a^{n}} $}[/tex]
Applying the Negative Exponent Rule will result in the following exponential expression:
[tex]\LARGE\text{$ a^{7}\:b^{-8}\:=\:[a^{7}\:\times\:\frac{1}{b^8}]\:=\:\frac{a^7}{b^8} $}[/tex]
Therefore, the equivalent expression is: [tex]\LARGE\text{$ \frac{a^7}{b^8} $}[/tex].
Perform the operations indicated choose the correct answer 14+29
Answer:
14+29=43
Step-by-step explanation:just add it
Antonio buys a television worth $700 at a rent-to-own business. Because he doesn't have $700 on the day of purchase, he will pay $100 per
month for 12 months and will be able to take the television home immediately. How much will Antonio end up spending on the television after
his 12 payments?
OA. $100
OB. $500
OC. $700
OD. $1200
Answer:
$1200
Step-by-step explanation:
Since he's paying $100 on a 12 month plan, you do
100 * 12 = 1200
In total he's paying $1,200.
Answer: 1200
Step-by-step explanation: Hope this helps :)
What does 6523 ÷ 65 equal?
Answer:
~100.35385
Step-by-step explanation:
You just gotta take the time to do the long division. Alternate forms could be 100 23/65
Look at the image and please help out! I need an answer.
Answer:
4b<30
Step-by-step explanation:
product means multiply so 4•b or 4b
less than so<
Step-by-step explanation:
addition means the sum of 2 numbers
so.....b+4 <30
b <30-4
B <26
Determine whether each equation is a linear equation. Write yes or no. If yes, write the equation in standard form. 12x = 7y - 10y
Answer and Step-by-step explanation:
This equation is linear because the slope is changing at a constant rate.
Write in standard form:
Standard form on an equation is written like so: Ax + By = C
First combine the y-values.
12x = -3y
Now add 3y to both sides of the equation.
12x + 3y = 0 <-- This is the answer (equation) in standard form.
#teamseas #PAW (Plant And Water)
I hope this helps!
Does anyone know this?
Answer:
all squares are quadrilaterala
Step-by-step explanation:
it has 4 sides and I just remember.
Answer:
All squares are quadrilaterals.
Step-by-step explanation:
Squares are defined as quadrilaterals with four right angles and four congruent sides.
An online game site has two memership plans. The first plan gives you unlimited play for $40 a month. The second plan charges a monthly access fee of $4.25 plus $2.75 for each hour you play. After how many hours do the two plans cost the same?
Answer:
after 13 hours
Step-by-step explanation:
Since the monthly fee is $4.25
so
● $4.25 + ( 2.75 × Number of hours) = 40
● ( 2.75 × Number of hours) = $40 - $4.25
● 35.75/ 2.75 = 13
Weverton Cliffs is a hiking trail in Maryland. This trail is 3 inches long on a map that has a scale of 7 ½ inches = 15 miles.
If Sarah hikes Weverton Cliffs from beginning to end and returns along the same trail, what is the total distance she hikes?
A. 3 miles
B. 6 miles
C. 12 miles
D. 18 miles
Answer: Is 6
Step-by-step explanation: Because 1 mile = 1/2. Is this helpful?
factor completely. show full work
Answer:
here's the answer mark me brainliest!!
Answer:
Step-by-step explanation:
2p² + 8pq - pq - 4q² = 2p(p + 4q) - q( p + 4q)
= (p + 4q)(2p - q)
Mrs. Cho has 24 students in her class. Some of her students are also in the play.
Explain why it is not possible for exactly 24% of the students in Mrs. Cho’s class to be in the play.
914 1404 393
Answer:
24% of 24 is not a whole number
Step-by-step explanation:
24% of Mrs. Cho's students is ...
0.24 × 24 = 5.76 . . . students
This is not a whole number. The number of students must be a whole number. There cannot be part of a student in the play.
Rock Middle School is planning a field trip to a museum. The museum specifies that there needs to be one chaperone for every 4 students. If the maximum number of people allowed on the field trip is 700, what is the maximum number of students able to visit the museum?
Answer:
28000
Step-by-step explanation:
You multiply 4 and 700.
Answer:
525 students
Step-by-step explanation:
There will be 175 chaperones on the trip.
All you need to do is find 1/4 of 700 which is the number of chaperones.
Then subtract it by 700 to find the number of students.
I hope this helps!!
2 pts
Sammy wants to buy a new stereo priced at $439. He enters into an agreement to pay
$22 a month for 24 months. How much will the finance charge be for this purchase?
State your answer in terms of dollars rounded to the nearest cent (hundredth).
Answer:
$308
Step-by-step explanation:
I am not sure if this is correct. But try it and let me know if it was
What is the probability of
spinning a yellow?
Answer:
is 2/8
Step-by-step explanation:
Answer:
12.5
Step-by-step explanation:
help me asap. i’ve been stuck on this question for like two hours
Answer:
Step-by-step explanation:
how do I rewrite this using the distinctive property
6(-4)
Mr. and Mrs. Ramirez both have jobs for which 22% of their earnings are taken out of their paychecks for taxes. How much would they need to earn together per month before taxes to have enough income to cover all the expenses in their budget?
Answer:
ñ
Step-by-step explanation:
ñ
Linear or non linear?
Answer:
Linear
Step-by-step explanation:
This is linear because using the data you have provided we can work out that the equation is y= -5x+27
y= mx+ c (c is the gradient)
This equation shows that the line is straight (also shown in the picture) and therefore must make it a linear graph.
For the graph to be non linear, the graph would be curved but this would mean the equation would have to be a quadratic - which it isn't.
Hope this helps!
shen works mowing lawns and babysitting. he earns $9.40 an hour for mowing and $7.80 an hour for babysitting. how much will he earn for 4 hours of mowing and 6 for babysitting?
Answer:
$84.40
Step-by-step explanation:
mowing: $9.40/hour
babysitting: $7.80/hour
4 hours mowing + 6 hours babysitting =
= 4 × $9.40 + 6 × $7.80
= $37.6 + $46.8
= $84.40
Answer:
$84.40
Step-by-step explanation:
$9.40 · 4 + $7.80 · 6 = ?
9.4 · 4 = 37.60
7.8 · 6 = 46.80
37.60 + 46.80 = $84.4
I hope this helps!!
Solve the equation for the given variable
1/2 +y= 2/3
A) y=1/6
B) y=1/3
C) y=1/3
D) y=1 1/6
Answer:
y= (2/3)-(1/2)
= (4-3)/6
= 1/6
=> A
Step-by-step explanation:
Please help ASAP, probability math question
Answer:
Step-by-step explanation:
For the first throw the probability that it does not land on four should be .35 not .25
On the top for the second throw the probabilities should be swapped (so land on 4= .65 and not land on four =.35)
Can’t figure this out need help
Answer:
d
Step-by-step explanation:
range means y values so automatically a and b aren't right
there's no limits for y since it's linear, so it's D
that R sign basically means "all real numbers"
If X, then not Y. If not Y, then Z. Y is true. So:
Answer:
Z and X is incorrect
write the decimalas a percent 4.68
Answer:
468% is the percent of 4.68
Step-by-step explanation:
4.68 x 100 = 468
Given 3 + 7 + 11 + 15 + ... find S20
