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.
Simplify to the form of a square root of b
Answer:
If we substitute a and b to equal 6 for example
it would be
√
6
2
+
6
2
it would equal 8.5(1.d.p) as it would be written as
√
36
+
36
giving a standard form as
√
72
However if it was
√
6
2
+
√
6
2
it would equal 12 as the
√
and
^
2
would cancel out to give the equation 6+6
Therefore
√
a
2
+
b
2
cannot be simplified unless given a substitution for a and b.
I hope this isn't too confusing.
Step-by-step explanation:
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
If X, then not Y. If not Y, then Z. Y is true. So:
Answer:
Z and X is incorrect
There are 70 students at a summer camp. A counselor divides the students into teams of 10. How many more teams would the counselor make if he divides the students into teams of 7?
Answer:
70/10 = 7
70/7 = 10
10-7 = 3
3 more groupsThere are 3 more teams would the counselor make if he divides the students into teams of 7.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
There are 70 students at a summer camp.
A counselor divides the students into teams of 10.
Let x be the total number of members in the final team:
For the first division = 70/10 = 7
= 70/7 = 10
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
x = 10 - 7 = 3
Thus, there are 3 more teams would the counselor make if he divides the students into teams of 7.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist!
I know I already got the right answer so please give an explanation too!
Answer:
11
Step-by-step explanation:
to find the area of a square: base times height, we know that all sides of a square are the same. So, 11*11
=121, the answer is 11
Answer:
11 in.
Step-by-step explanation:
The canvas has the shape of a square.
The area of a square is the side times the side, but since in a square, all sides have equal lengths, then the area of a square is the square of the side.
You are given the area. You need to find the side.
The area is the square of the side, so the side is the square root of the area.
side = √area
side = √(121 in.²)
side = 11 in.
Find the value of e.
Step-by-step explanation:
sum of three angles in a triangle is 180
55+35+x=180
90+x=180
x=180-90
x=90
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!!
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.
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)
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?
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"
In ΔJKL, k = 4.4 inches, l = 8.6 inches and ∠J=129°. Find the length of j, to the nearest 10th of an inch.
Answer:
Step-by-step explanation:
101 degrees
4x+2=2(x+6)
HELP PLEASE
12
Hope it helps!!!!!!!
Answer:
x = 5
Step-by-step explanation:
Let's solve your equation step-by-step.
4x+2=2(x+6)
Step 1: Simplify both sides of the equation.
4x+2=2(x+6)
4x+2=(2)(x)+(2)(6)(Distribute)
4x+2=2x+12
Step 2: Subtract 2x from both sides.
4x+2−2x=2x+12−2x
2x+2=12
Step 3: Subtract 2 from both sides.
2x+2−2=12−2
2x=10
Step 4: Divide both sides by 2.
[tex] \tt \: \frac{2x}{2} = \frac{10}{2} [/tex]
Result:
x = 5
1. find measure of A
2. find measure of B
3. find measure of C
4. find measure of D
solve and give explanations and pictures pls
Answer:
A.25×5×8=960
B.15×7×14=1610
C.5x39×8=1290
D.12×20×4=1124
Step-by-step explanation:
yan po hirap
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
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 :)
Find an equivalent ratio in simplest terms: 4:60
Answer:
1:15
Step-by-step explanation:
4 and 60 have the GCF of 4. So, if you divide both sides by that factor, you would get 1:15. Hope this helped :)
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:
what is the answer please
Answer:
Step-by-step explanation:
ΔABE ~ ΔACD
In similar triangles, corresponding sides are in same ratio.
[tex]\dfrac{AE}{AD}=\dfrac{AB}{AC}\\\\\\\dfrac{12}{18}=\dfrac{9}{9+x}[/tex]
[tex]\dfrac{2}{3}=\dfrac{9}{9+x}[/tex]
Cross multiply,
2*(9+x) = 3*9
2*9 + 2*x = 27
18 + 2x = 27
2x = 27 - 18
2x = 9
x = 9/2
x = 4.5
John has $75 in his savings account. every week he deposits $7. which table represents the amount of money john has in his savings account after 5 weeks.
Answer: C
Step-by-step explanation: Depositing is the act of putting money inside the bank account usually to gain interest.
If John started with $75, you add his deposit ($7) which comes out to 82. Then add 82+7 which equals 89 and so on.
75+7= 82
82+7= 89
89+7= 96
96+7= 103
Answer: is the C
Step-by-step explanation:
bank account: 75$
1st week:75
2nd week:82
3rd week:89
4th week:96
5th week:103
The graphs of these two equations intersect in how many points?
[tex]x^{2} +y ^ {2}=25[/tex]
[tex]x^{2} -y ^ {2}=3[/tex]
Answer:
They intersect 4 times.
Step-by-step explanation:
When graphed, the first equation is a circle with a center resting at (0,0)
The second equation intersects the circle at (-3.7,3.3), (3.7,3.3), (3.7,-3.3), (-3.7,-3.3)
what is 1/5 divided by 69
Answer:
1/345 or 0.00289855 (for 1/5 / 69)
I feel like you're most likely talking about 69 / 1/5 which is 345
Try looking at the problem you are doing again :)
Answer:
0.00289855072
Step-by-step explanation:
1÷5 = 0.2
0.2 ÷ 69 = 0.00289855072
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:
what is the slope of the line?
2. Use any strategy to multiply.
a. 4 x 79
Which of the followi g is equal to (9×1)+(5×1/10)+(1×1/100)?
Answer:
9.51
Step-by-step explanation:
9 x 1 is equal to 9
5 x 1/10 is equal to 5/10 which is also 0.5
1 x 1/100 is equal to 1/100 which is also 0.01
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
Matt weighed 60 pounds when he was 8 .
He now weighs 80 pounds.
Find the percent of increase in weight rounded to the nearest tenth
Answer:
Step-by-step explanation:
Old weight = 60 pound
New weight = 80 pound
Finding:
Percent of increase in weight
Therefore:
Percent of expansion in weight = [(New weight - old weight)/Old weight]100
Percent of expansion in weight = [(80 - 60)/60]100
Percent of expansion in weight = [(20)/60]100
Percent of expansion in weight = 33.33% Approx.
