Answer:
x=5
Step-by-step explanation:
−3x − 3 +7x = 17
Combine like terms
4x -3 = 17
Add 3 to each side
4x-3 +3 =17+3
4x = 20
Divide by 4
4x/4 = 20/4
x = 5
.
The bus routes in a city run on average every 15 minutes. The route times can vary by three minutes. Which absolute value equation can be used to find the maximum and minimum wait times at a bus stop?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Let absolute variation in the wait time at the bus stop = v
Variation = ±3 minutes
Average bus run through the city = 15 minutes
Hence, the minimum and maximum run values due to the variation can be modeled as:
|variation - average run| = ±3
|v - 15| = ±3
minimum : v = - 3 +. 15 = 12 minutes
Maximum : v = 3 + 15 = 18 minutes
Answer:
Step-by-step explanation:
│x - 3│= 15
This is the answer hope this help
URGENT I NEED HELP ON THIS DUE BY 12
Answer:
Yes, it should work.
Step-by-step explanation:
DC=AB (because it is a rectangle and they are parallel)
DA=CB (because it is a rectangle and they are parallel)
DB=AC (given)
Those are all sides and gives enough information for us to know that it is congruent.
Answer:
yes
Step-by-step explanation:
Terms must be like terms in order to _______ or______. Terms do not have to be like if we are ______ or ______.
Answer: Add, subtract, multiply, divide
Step-by-step explanation:
Terms must be like terms in order to add or subtract. Terms do not have to be like if we are multiplying or dividing.
You cant add unlike terms when adding or subtracting, but you can use the exponent rules when multiply or dividing.
Classify the angle pair as corresponding, alternate interior, alternate exterior, consecutive interior, consecutive exterior, vertical angles, or linear pair.
Answers may be repeated.
∠4 and ∠9\angle4\ and\ \angle9∠4 and ∠9
∠1 and ∠9\angle1\ and\ \angle9∠1 and ∠9
∠1 and ∠12\angle1\ and\ \angle12∠1 and ∠12
∠6 and ∠11\angle6\ and\ \angle11∠6 and ∠11
∠3 and ∠9\angle3\ and\ \angle9∠3 and ∠9
∠2 and ∠12\angle2\ and\ \angle12∠2 and ∠12
∠6 and ∠7\angle6\ and\ \angle7∠6 and ∠7
∠7 and ∠8\angle7\ and\ \angle8∠7 and ∠8
DRAG & DROP THE ANSWER
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Consecutive Interior Angles
Consecutive Exterior Angles
Vertical Angles
Linear Pair
Answer:
Step-by-step explanation:
I need help
I HAVE 5 MINS PLZ HELP!
PLEASE HELP
Solve the inequality. | 2x + 3 | < 7
please show all the work
Answer:
[tex]-5<x<2[/tex]
Step-by-step explanation:
We have the inequality:
[tex]|2x+3|<7[/tex]
Use the definition of absolute value:
[tex](2x+3)<7\text{ or } -(2x+3)<7[/tex]
Let's evaluate each case individually.
Case 1)
We have:
[tex]2x+3<7[/tex]
Subtract 3 from both sides:
[tex]2x<4[/tex]
Divide both sides by 2:
[tex]x<2\\[/tex]
Case 2)
We have:
[tex]-(2x+3)<7[/tex]
Divide both sides by -1. Since we're dividing by a negative, flip our sign:
[tex]2x+3<-7[/tex]
Subtract 3 from both sides:
[tex]2x<-10[/tex]
Divide both sides by 2:
[tex]x<-5[/tex]
So, our solutions are, from least to greatest:
[tex]\{x|-5, 2\}[/tex]
We can see that our inequality is a greater than.
Remember, when dealing with absolute value:
When our sign is greater than (or equal to), our solution is an "or" inequality with our solutions being all values less than our lesser solution or all values greater than our greater solution.
When our sign is less than (or equal to), our solution is an "and" inequality with our solution being between our two solutions.
Since our inequality is a less than, our solution is all the values between our lesser solution and our greater solution.
Our lesser solution is -5. Our greater solution is 2.
So, the solution to the inequality is all values between -5 and 2. As a compound inequality, this is:
[tex]-5<x<2[/tex]
And we're done!
simplify for this. 22 + (3x3 - 4x4)
Answer:15
Step-by-step explanation: 1st multiple what’s in the parenthesis (3*3= 9 & 4*4= 16
Next write it out 22+(9-16)
Then you subtract 9 from 16 since it’s in parenthesis So it’s 22+(-7) and since you are adding a negative and a positive together you will have to subtract and keep the sign of the larger number so the answer is 15 since u needed to subtract but 22 is the larger number making it positive answer
6x + 4x - 1 = 2(5x + 4)
6x + 4x - 1 =
• 5x +
• 4
X – 1 = X + 8
10x -x-1 = 10x - X + 8
Answer: no solutions
Step-by-step explanation:
A square room in Denise's house measures 15 feet by 15 feet. Find the length of the diagonal of the room, rounded to the nearest tenth
The length of the diagonal of the room is approximately 21.2 feet when rounded to the nearest tenth.
Given information:
A square room in Denise's house measures 15 feet by 15 feet.
Since the room is square, the diagonal forms the hypotenuse of a right triangle whose legs are the sides of the square.
Each side of the square measures 15 feet, so we have:
d² = 15² + 15²
Simplifying:
d² = 2(15²)
d² = 2(225)
d² = 450
Taking the square root of both sides:
d ≈ 21.2
To learn more about the square;
https://brainly.com/question/28776767
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what is the slope of the line that passes through (5,0) and (-4,0)
Answer:
y=0
Step-by-step explanation:
Answer:
Step-by-step explanation:
y=0
Choose the slope and y-intercept that
correspond with the graph.
HELPPP!!!!!!
Answer:
Slope:-1/4 y-int: 3
Step-by-step explanation:
You can you the formula y1-y2/x1-x1 or you can look at it and find out if that makes sense
Find the distance between the two points in simplest radical form.
(8, – 7) and (1, -1)
Answer:
The distance between the two points is [tex]\sqrt{85}[/tex] units
Step-by-step explanation:
Let us revise the rule of the distance between two point [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex]
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
∵ We need to find the distance between the two points (8, -7) and (1, -1)
→ Let [tex]x_{1}[/tex] = 8 and [tex]x_{2}[/tex] = 1
→ Let [tex]y_{1}[/tex] = -7 and [tex]y_{2}[/tex] = -1
→ Substitute their values in the rule above
∴ [tex]d=\sqrt{(1-8)^{2}+(-1--7)^{2}}[/tex]
∴ [tex]d=\sqrt{(-7)^{2}+(-1+7)^{2}}[/tex]
∴ [tex]d=\sqrt{49+36}[/tex]
∴ [tex]d=\sqrt{85}[/tex]
→ Simplify the radical
∵ 85 = 5 × 17
→ Both of them are prime numbers
∴ The simplest form of [tex]\sqrt{85}[/tex] is [tex]\sqrt{85}[/tex]
∴ The distance between the two points is [tex]\sqrt{85}[/tex] units
round 8,679 to the nearst hundred
Answer:
8700
Step-by-step explanation:
What is the prime factorization for 7
Answer:
2, 3, 5, 7, 11, 13, 17, 19 and 23,
Step-by-step explanation:
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19 and 23,
Please help!! I’m confused :(
I’ll give brainliest!
An axiom is a basic assumption about a mathematical situation. There are five axioms that form the basis for Euclidean geometry. List the five axioms.
The five axioms are:
Things which are equal to the same thing are also equal to one another.
If equals be added to equals, the wholes are equal.
If equals be subtracted from equals, the remainders are equal.
Things which coincide with one another are equal to one another.
The whole is greater than the part.
Answer:
AXIOMS AND POSTULATES OF EUCLID
Step-by-step explanation:
AXIOMS
Things which are equal to the same thing are also equal to one another.
If equals be added to equals, the wholes are equal.
If equals be subtracted from equals, the remainders are equal.
Things which coincide with one another are equal to one another.
The whole is greater than the part.
POSTULATES
To draw a straight line from any point to any point.
To produce a finite straight line continuously in a straight line.
To describe a circle with any center and distance.
That all right angles are equal to one another.
That if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the straight lines, if produced indefinitely, will meet on that side on which the angles are less that two right angles.*
The red lines on the diagram show the layout for a running event. Runners will race around the triangle-shaped grassy area. What is the total length of the race course? what is The total distance in km.
Answer:
Total distance = 5.754 km
Step-by-step explanation:
Red lines of the right triangle show the layout of the race course.
Total length of the race course = Perimeter of the triangle
Perimeter of the triangle = Sum of the measures of all three sides
= 1.83 + 1.524 + 2.4
= 5.754 km
Therefore, total distance of the race course is 5.754 km.
Answer:
5.754
Step-by-step explanation:
4.) Trapezoids ABCD and EFGH are congruent. What is the length of side FG?
a. 9 m
b. 12 m
C. 15 m
Answer:
C. 15m
Step-by-step explanation:
if ABCD and EFGH are congruent that means that they are equivalent to each other. If side FG is the base of that trapizoid, and side CD is the base with the measurement of 15m, then we are left to believe that side FG is 15m
HELP PLEASE I WILL GIVE 100 Poins just please and brainliest
Answer: ok i dont really know but ask your teacher for help
Step-by-step explanation:
Pls help we just started today
Answer:
5.4
Step-by-step explanation:
using pythagoras theorem
a²+b²=c²
5²+2²=c²
c²= 25+4
c²=29
[tex] \sqrt{c ^{2} } = \sqrt{29} [/tex]
c=5.4
The diameter of a circle is 25 inches. What is the area? Use 3.14 for pi and round to the nearest hundredth.
Answer: 490.63
Step-by-step explanation:
Additive inverse of 0.25
Step-by-step explanation:
it's it's a photo hope this will help you
What is the value of a?
A is the first letter in the alphabet it makes a ahhhhhh sound and is a very usful letter and is clasafiyed as a vauve
4:8 and 32:64 are equal ratios. True or False
Answer:
True
Step-by-step explanation:
this is because when reduced to their most simple terms they are the same so:
4:8 divide both sides by 4 and get: 1:2
32:64 divide both sides by 32 and get: 1:2 as well
You are measuring walnuts for banana-walnut oatmeal and a spinach and walnut salad. You need 3 4 cup of walnuts for the oatmeal and 7 8 cup of walnuts for the salad. You have a 1 8 -cup scoop. Complete the descriptions of two different ways to find how many scoops of walnuts you will need. Enter all non-whole number answers as mixed numbers in simplest form.
Complete Question
You are measuring walnuts for banana-walnut oatmeal and a spinach and walnut salad. You need 3/4 cup of walnuts for the oatmeal and 7/8 cup of walnuts for the salad. You have a 1/8 -cup scoop. Complete the descriptions of two different ways to find how many scoops of walnuts you will need. Enter all non-whole number answers as mixed numbers in simplest form.
Answer:
13 scoops
Step-by-step explanation:
Description 1
Step 1
3/4 cup of walnuts for the oatmeal
7/8 cup of walnuts for the salad
Total cups of walnuts needed for both salad and oatmeal =
3/4 cups + 7/8 cups
(3/4 + 7/8)
(6 + 7/8)
= 13/8 cups of walnuts
= 1 5/8 cups of walnuts
Step 2
You have a 1/8 -cup scoop
The number of cup scoops of walnuts need is calculated as
1 5/8 cups ÷ 1/8 cup scoop
= 13/8 ÷ 1/8
= 13/8 × 8/1
= 13 scoops
Therefore, 13 scoops of walnuts is needed.
Description 2
3/4 cup of walnuts for the oatmeal
7/8 cup of walnuts for the salad
1/8 cup scoop
Therefore,
(3/4 + 7/8) ÷ 1/8
=(13/8) ÷ 1/8
= 13 scoops of walnuts are needed
The quotient of a number and 5 is 17
HELP THIS IS TIMED!!!
Label each of the following as true, false, or open.
a. –4(5x) = 12
b. 4 x 6 = 24
c. a + 4 = 6, when a = 2.
d. 4x = 19, when x equals 5.
Answer:
a. –4(5x) = 12; OPEN
b. 4 x 6 = 24; TRUE
c. a + 4 = 6, when a = 2; TRUE
d. 4x = 19, when x equals 5; FALSE
Step-by-step explanation:
a. –4(5x) = 12 [-20x = 12 {Divide -20 from both sides} x = -0.6 So, if x is = -0.6, then it is true, so OPEN.
b. 4 x 6 = 24 [4 x 6 = 24 so TRUE]
c. a + 4 = 6, when a = 2. (Plug 2 in for a) 2 + 4 = 6; 6 = 6; TRUE
d. 4x = 19, when x equals 5. (Plug 5 in for x) 4(5) = 19; 20 is not = 19; FALSE
One leg of a 45°-45°-90° triangle is 3.
Find the length of the hypotenuse.
Would anyone mind solving this? Thank you!
how many hours would it take for a car to travel 150 miles at an average rate of 50 miles per hour
Answer:
3 hours
Step-by-step explanation:
If a car is traveling 50 miles an a hour, then divide 150 into 3, we are using 3 because it is 3 hours.
Answer:it will take the car 3 hours
Find area
of a
Sector of angle P (in degrees) of
a circle
with radius R ?
Answer:
You have to find out how much of the circle the sector is
Step-by-step explanation:
[tex]\frac{\pi R^{2}}{\frac{P}{360}}[/tex]