Answer: The answer is x < 5/2 and x > -5.
Step-by-step explanation:
First you need to separate the inequality and keep x on one side to maintain consistency. For instance the problem-
[tex]\frac{5-2x}{3} > 0\\\frac{5-2x}{3} < 5\\[/tex]
Now solve as normal.
*Note: When dividing a side or multiplying a side by a negative number, the sign of the inequality switches (this will be shown when I do the equation if it doesn't make since how I word it).
[tex]5-2x > 0*3\\5-2x < 5*3[/tex]
[tex]-2x > 0-5\\-2x < 15-5[/tex]
[tex]x < \frac{-5}{-2} =x < \frac{5}{2} \\x > \frac{10}{-2} =x > -5[/tex]
So, x < 5/2 and x > -5.
If anything is confusing about the procedure just leave a comment, and I'll try to explain further.
Help! Select the correct answer.
Graph the following system of inequalities. WILL GIVE BRAINLY!!
Answer:
w is the correct answer
Step-by-step explanation:
[tex]y \leqslant \frac{1}{3} x - 2[/tex]
If we choose the point (3, 0), we obtain
0 <= -1, which is not true. So we shade the region to the left of x = 4 (which is a dashed vertical line) and below
y = (1/3)x - 2 (which is a solid line).
The equation for free fall at the surface of some planet (s in meters, t in seconds) is s=2.86t^2. How long does it take a rock falling from rest to reach a velocity of 25.1 m/s on this planet?
The time taken by the rock will be 8.77 seconds.
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
Given that:-
The equation for free fall at the surface of some planet (s in meters, t in seconds) is s = 2.86t²
The time will be calculated by using the speed formula.
Speed = Distance \ Time
25.1 = 2.86t² \ t
t = 25.1 / 2.86
t = 8.77 seconds
Therefore the time taken by the rock will be 8.77 seconds.
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The ratio of the number of picture books encyclopedias, and fairy tale books Annette had is 3:4:5 She have half of her encyclopedias to her brother and he gave her 5 books of fairytales Now she has 14 more books of fairy tales than encyclopedias How many picture books does she have
The number of picture books does Annette have is 76 books.
Given the ratio of picture books , encyclopedias and fairy tales books is 3:4:5 and she have half of her encyclopedias to her brother and he gave her 5 books of fairytales
We need to find the number of picture books does she have
According to the statement the total number of books does Annette have is
3k+4k+5k = 12k
Where k is total number of books
Now , Picture book she have = 3/12k = 1/4k
Encyclopedia she have = 4/12k = 1/3k
Fairy tale she have = 5/12k
Here,
Encyclopedia +14 = Fairy tale
Substituting the values of Encyclopedia and Fairy tale
(1/3 -1/2)k +14 = (5/12k -5 )
Therefore.
(1/6k+14) = (5k/12-5)
Therefore,
14+5 = 5k/12 - k/6
Therefore,
19 = 3k/12
19*4=k
76 = k
Here k = 76 books
Hence the total number of picture books does she have is 76
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Determine whether each ordered pair is a solution to the inequality −7x−y>2.
Answer:
[tex]x < - \frac{2 + y}{7} [/tex]
Step-by-step explanation:
[tex] - 7x > 2 + y \\ x < - \frac{2 + y}{7} [/tex]
Wei Xun bought 8 pieces of chocolates and 10 lollipops for $17. The average price of a piece of chocolate was S$1. What was the average price of a lollipop?
Answer:
$0.90
Step-by-step explanation:
If each piece of chocolate is $1, then 8 pieces is $8. Wei Xun bought 8 pieces of chocolate and 10 lollipops, which came out to $17. The chocolate was $8 total, leaving $9 for the 10 lollipops. 9/10 = 0.9. So, each lollipop was $0.90, or 90 cents.
Identify one pair of vertical angles in the diagram below,
Answer:
b and d
Step-by-step explanation:
there are two
but only one is an answer choice
b and d
the other which is not an answer choice is
a and c
gathmath
I’m so confused on what numbers l should put into the boxes
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The lines for the given statements can be plotted as shown below.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is y-intercept.
The lines for the given statements can be plotted as shown below.
The coordinate grid can be filled as,
1)
x 0 3 1
y 3 0 2
2.)
x 0 1 -1
y 1 0 2
3.)
x 0 4 -1
y -2 0 2
4.)
x 0 1 1
y -2 0 -2
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Dedi had a combination lock.To open the lock he started at 37.He made 3 half turns clockwise and 3 quarter turns anticlockwise
What number did he end up at?
Expanded form of 1,256
Answer:
one thousand two hundred fifty six
Step-by-step explanation:
please mark me as brainlest
On a walk through the woods, Mr. Finley saw 16 blue jays and 25 purple finches. Write the ratio of finches to blue jays three different ways.
Answer:
25:16
50:32
100:64
Step-by-step explanation:
Which statement describes the end behavior of the function f(x)= |x-7| -7?
A. As x approaches negative infinity, f(x) approaches negative infinity.
B. As x approaches negative infinity, f(x) approaches positive infinity.
C. As x approaches positive infinity, f(x) is no longer continuous.
D. As x approaches positive infinity, f(x) approaches negative infinity.
Answer:
A. B. C. D.
Step-by-step explanation:
because Which statement describes the end behavior of the function f(x)= |x-7| -7?
A. As x approaches negative infinity, f(x) approaches negative infinity.
B. As x approaches negative infinity, f(x) approaches positive infinity.
C. As x approaches positive infinity, f(x) is no longer continuous.
D. As x approaches positive infinity, f(x) approaches negative infinity.
Find the midpoint between the given points: (2,-1), (10,-9)
Answer: (6, -5)
Step-by-step explanation: I used the midpoint formula and this is what I got. I hope this helps!
The formula:
(xm, xy) = (x1 + x2/2, y1 + y2/2)
patulong po,thankyou
F10) How many Solutions Does this
System Have?
y=2X
y = -x + 2
Answer:
See below.
Step-by-step explanation:
Problem:
Solve y=2x;y=−x+2
Steps:
I will solve your system by substitution.
y=2x;y=−x+2
Step: Solve y=2 x for y:
Step: Substitute 2x for y in y=−x+2:
y=−x+2
2x=−x+2
2x+x=−x+2+x(Add x to both sides)
3x=2
3x/3 = 2/3 (Divide both sides by 3)
x=2/3
Step: Substitute 2/3 for x in y = 2x
y=2x
y = 2(2/3)
y = 4/3 (Simplify both sides of the equation)
Answer:
x = 2/3 and y = 4/3
Answer:
only one at x = 2/3 y = 1 1/3
Step-by-step explanation:
At the same solution point Y = Y so
2x = -x + 2
3x = 2
x = 2/3
The segments shown below could form a triangle.
A
C
B
8
O
B
A. True
B. False
15
A
Answer:
False
Step-by-step explanation:
these lines are unable to form a triangle, the longest line (BA) is 15. The other small lines (AC and CB) if added together, need to be longer than 15, otherwise if you were trying to form a triangle, they would not be able to connect completely with eachother while creating a triangle shape
A decision at the margin Crystal is a hard-working college senior. One Thursday, she decides to work nonstop until she has answered 100 practice problems for her math course. She starts work at 8:00 AM and uses a table to keep track of her progress throughout the day. She notices that as she gets tired, it takes her longer to solve each problem. Time Total Problems Answered 8:00 AM 0 9:00 AM 40 10:00 AM 70 11:00 AM 90 Noon 100 Use the table to answer the following questions. The marginal, or additional, gain from Crystal’s first hour of work, from 8:00 AM to 9:00 AM, is problems. The marginal gain from Crystal’s third hour of work, from 10:00 AM to 11:00 AM, is problems. Later, the teaching assistant in Crystal’s math course gives her some advice. “Based on past experience,” the teaching assistant says, “working on 35 problems raises a student’s exam score by about the same amount as reading the textbook for 1 hour.” For simplicity, assume students always cover the same number of pages during each hour they spend reading. Given this information, in order to use her 4 hours of study time to get the best exam score possible, how many hours should she have spent working on problems, and how many should she have spent reading? 0 hours working on problems, 4 hours reading 1 hour working on problems, 3 hours reading 3 hours working on problems, 1 hour reading 4 hours working on problems, 0 hours reading
She should spend 1 hour working on problems , 3 hour reading , Option B is the right answer.
What is Margin gain ?The gain of the desired effect with respect to the previous gain is called margin gain
The marginal gain from 8:00 am to 9:00 am is
(40-0) = 40 problems
The marginal gain from 9:00 am to 10:00 am is
= 70-40 = 30 problems
The marginal gain from 10:00 am to 11:00 am is
(90-70) = 20 problems
As if she does more than one hour of problem solving her productivity decreases to 30 which is less than 1 hour of reading textbook
Therefore she should not spend more than 1 hour on problem solving.
Therefore Option B is the right answer.
1 hour working on problems , 3 hour reading
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In the diagram below, ABC~ DEC. What is the value of x?
The value of x will be 3
From given diagram, triangle ABC and EDC meet at a common vertex C.
So, triangle ABC and EDC both are congruent to each other.
Applying the similarity property of congruence, ratio of the congruent triangles' corresponding sides will be equal.
Therefore,
[tex]\frac{AB}{ED} = \frac{AC}{EC} = \frac{BC}{CD}[/tex]
[tex]\frac{AC}{EC} = \frac{BC}{CD}[/tex]
Simplifying the expression,
We get
(18-x)/x = 25/5
(18-x)/x = 5
18-x = 5x
18-x-5x = 0
18 - 6x = 0
- 6x = -18
x = 3
Hence, the value of x is 3.
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area of a trapezium base 8 top6 height 4
The area of a trapezium with base 8 top 6 height 4 is 28 cm².
Given that, base of trapezium (b)=8 cm, top of trapezium (a)=6 cm and height of trapezium = 4 cm.
What is the area of a trapezium?
The trapezium is a quadrilateral with pair of sides parallel. The area of a trapezium is the area enclosed within its four sides.
We know that area of a trapezium [tex]=\frac{1}{2}(a+b) \times h[/tex]
Where a and b are parallel sides of a trapezium.
Now, the area of a given trapezium [tex]=\frac{1}{2}(6+8) \times 4[/tex] cm²
=14×2=28 cm²
Therefore, the area of a trapezium with base 8 top 6 height 4 is 28 cm².
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The points (-15, r) and (-3, 16) lie on a line with slope 5/4. Find the missing coordinate r.
Answer:
r = 1
Step-by-step explanation:
we know that :
[tex]Slope=\frac{y_{B}-y_{A}}{x_{B}-x_A}[/tex]
Then
[tex]\frac{5}{4} =\frac{16-r}{-3-(-15)}[/tex]
Then
[tex]\frac{5}{4} =\frac{16-r}{12}[/tex]
Then
5×12 = 4×(16-r)
Then
60 = 64 - 4r
Then
4r = 64 - 60
Then
4r = 4
Then
r = 1
roger contracts childrens playhouses all the top of each house he places an isosceles triangle to from the roof the largest angle measures 146 what are the measurement of the other two angles
Step-by-step explanation:
there are clearly some typos in the question.
so, to summarize what I understood :
the roof of each playhouse is an isoceles triangle, with the largest angle being 146°.
we need to find the other 2 angles.
"isoceles" means that both legs are equally long.
that means automatically that both side angles (bottom left and bottom right) are equally large too.
and now, this please burn into your brain forever :
the sum of all angles in a triangle (no matter what type) is always 180°.
so, if we call a side angle x, we have here
180 = 146 + x + x = 146 + 2x
34 = 2x
x = 17°
so, both missing angles are 17°.
a pretty flat triangle roof.
Find the sum of all the even
numbers between 23 and 29.
Answer:
78
Step-by-step explanation:
even numbers are numbers that end in 0, 2, 4, 6, or 8. these numbers can be considered even because they would evenly split between a group of 2
the "sum" of a group of numbers is the numbers added together
So, the numbers between 23 and 29:
23, 24, 25, 26, 27, 28, 29
(even numbers are in bold)
if we add these numbers together,
{1} {carry the 1 from the 18 in the one's place}
24
26
+ 28
______
78
So the sum of all the even numbers between 23 and 29 is 78.
hope this helps!!
the angle is 36.2 less than it’s complementary angle
Answer:
below
Step-by-step explanation:
Measure of each angle is 27 and 63 degrees.
Square root of (-16)^2
Answer: [tex]\sqrt{(-16)^{2} } =16[/tex]
Step-by-step explanation:
I looked it up on my calculator. I hope this helps!! :)
How can triangles be proven similar by the SAS similarity theorem?
Answer: Option (2)
Step-by-step explanation:
We need the angle to be included between the two mentioned sides.
This eliminates the first and fourth options.Also, the sides need to be corresponding for the ratio, and both sides of the triangle need to be in either the numerators or the denominators.
This eliminates the third option.A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number greater than 2
At the start of the week, Monique’s savings account had a balance of $326. She made a $45 withdrawal each day for seven days. During that week, she also made two deposits of $125 each. Which integer represents the balance in Monique’s account at the end of the week?
–891
–261
261
891
Answer:
C. 261
Step-by-step explanation:
45 times 7= 315
326-315=11
125 times 2=250
250+11=261
so the answer is C. $261
Gabriel quiere comprar un carro que cuesta 286,000. La agencia le ofrece un crédito a una tasa de 9% anual, con pagos trimestrales durante un año. Elabora la tabla de amortización del crédito
A coin is flipped, and a number cube is rolled. What is the probability of getting heads on the coin and a number greater than 5 on the number cube?
HELPPP
Answer:
1/3
Step-by-step explanation:
The number N of tree of a given species per acre is approximated by the model
N = 68(10)-0.042
above the ground.
Use the model to approximate the average diameter of the trees in a test plot when N = 21.
7,5 ≤ x ≤ 40 where x is the average diameter of the trees (in inches) 3 feet
Answer:
1 answer
The area of triangle with vertices A(0, 9), B(0, 4) and C( - 5, - 9) is
A small country is comprised of five states, A, B, C, D, and E. The population of each state is given in the following table. Congress will have 57 seats divided among the five states according to their respective populations. Use Jefferson's method with d=32,920 to apportion 57 seats
Based on Jefferson's method and the value of d, the apportionment of the 57 seats will be:
A - 4 seats.B - 5 seats. C - 10 seats.D - 16 seats.E - 22 seats.How will the seats be allocated?This is done by dividing the population of the state by the d value and then rounding this off:
State A:
= 138,352 / 32,920
= 4.2
= 4
State B:
= 181,282 / 32,920
= 5.5
= 5
State C:
= 337,026 / 32,920
= 10.23
= 10
State D:
= 549,634 / 32,920
= 16.6
= 16
State E:
= 729,736 / 32,920
= 22.1
= 22
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