Answer:
x = 0, y = 13/4
Step-by-step explanation:
I used elimination to solve the system of equations, but it might be easier to use substitution.
Anyway, hope this helps.
Write the word sentence as an inequality. Then solve the inequality.
Six times a number x is at least −24.
An inequality is
.
The solution of this inequality is
.
Answer:
The inequality is 6x ≥ -24
The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)
Step-by-step explanation:
In the inequality not more than means ≤In the inequality at least means ≥Let us solve the question
∵ Six times a number x means 6 × x = 6x
∵ At least means ≥
∴ Six times a number x is at least -24 is 6x ≥ -24
∴ The inequality is 6x ≥ -24
Now we will find the solution of the inequality
∵ 6x ≥ -24
→ Divide both sides by 6
∵ [tex]\frac{6x}{6}[/tex] ≥ [tex]\frac{-24}{6}[/tex]
∴ x ≥ -4
∴ The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)
Answer:
The inequality is 6x ≥ -24
The solution is x ≥ -4
Step-by-step explanation:
To solve this you have to divide both sides by 6, so 6 ÷ 6 cancels out and -24 ÷ 6 = -4
So, the solution is x ≥ -4
A man has to drive 40 more miles to a meeting in Indianapolis compared to Chicago,
which is 160 miles away. What is the percent increase in the number of miles to
Indianapolis?
Answer:
25% i believe
Step-by-step explanation:
40 is 1/4 (or 25%) of 160
A picture is photocopied by using a scale factor of 2. Each side of the photocopy of the picture is. enlarged by a factor of 2. enlarged by a factor of One-half. reduced by a factor of 2. reduced by a factor of One-half.
Answer:
using a scale of 2", is another way to say, "is going to grab the original, and blow it up to 2 times as large".
so, the resulting copy is twice as large as the original.
Step-by-step explanation:
Answer: A picture is photocopied by using a scale factor of 2. Each side of the photocopy of the picture is
enlarged by a factor of 2.
enlarged by a factor of One-half.
reduced by a factor of 2.
reduced by a factor of One-half
Step-by-step explanation:
HELP ASAP pls help me i'll give brainliest.
answer both and give brainliest fosho ;,(
this is finals week ugh help pls
Answer:
wHaT?
Step-by-step explanation:
Miguel took 7 hours to read a 259-page book and Julissa took 5 hours to read a 175-page book. Who read more pages per hour?
What is 843,623 rounded to the nearest hundred thousand
Answer:
800,00
Step-by-step explanation:
It's simple math
Answer:
800,000
Step-by-step explanation:
Because the ten thousand's place is not 5 or more than that!
Select all the products that are negative, if x is negative.
–6x
4x
–3(–x)
0x
–x
4x and –3(–x) are negative.
Please help!!!! Select all the intervals where g is increasing.
Answer:
-3 < x < -2
Step-by-step explanation:
Here, we want the interval in which g is increasing
The interval are the point in which we have an upward curve
From the given graph, we can see an upward curve at -3 < x < -2
And that is our answer
Can someone help I think it’s a, b, d but I would like to see what everyone else’s opinion is:)
Answer:
D
Step-by-step explanation:
There are 5 ways to prove congruence:
1. SSS (3 sides)
Not applicable here
2. SAS (side-angle-side)
This requires a side, then an angle in between, and another side. This cannot be met with angles (as we currently have side-angle) so none of these are possible
3. ASA (angle-side-angle)
This is a side between angles, so if we squished line AC between angles C and A, and angle A=angle O, this would be true -- B is one answer
4. AAS (angle-angle-side)
Similar to option 3, but would be with angles T and G instead,
D is another answer
5. hypotenuse leg (only in right triangles)
The reason T and G fit AAS is because we hit angle T, then angle C, then side CA, all congruent with G, D, and DO in that order.
Charles needs to mix 6 tablespoons of water with 5 tablespoons of vinegar to make a cleaning solution. How many tablespoons of water are needed for each tablespoon of vinegar?
Answer:
The answer is 1.2
Step-by-step explanation:
Select the correct answer.
What is the standard form of '((2+3i)(4-71))/((1-1)) ?
O A.
-3/13-4/261
OB.
*3/13+4/261
O c.
31/2+27/21
OD.
.-31/2-27/21
Plz halp
Answer:
[tex]\dfrac{31}{2}+\dfrac{27}{2}i[/tex]
Step-by-step explanation:
The given complex number is:
[tex]z=\dfrac{(2+3i)(4-7i)(1+i)}{(1^2-i^2)}[/tex]
Firstly we can solve (2+3i)(4-7i)(1+i)
= 2(8)+2(-7i)+4(3i)+3i(-7i²)× (1+i)
= (16-14i+12i-21i²i)× (1+i)
Since, i² = -1
= (16-14i+12i-21(-1)i)× (1+i)
= (16-14i+12i+21)× (1+i)
= (29-2i)(1+i)
= 31+27i
Denominator : (1-i²)
= (1-(-1))
= 2
[tex]\dfrac{(2+3i)(4-7i)(1+i)}{(1^2-i^2)}=\dfrac{31+27i}{2}\\\\=\dfrac{31}{2}+\dfrac{27}{2}i[/tex]
Hence, the correct answer is [tex]\dfrac{31}{2}+\dfrac{27}{2}i[/tex].
What is 4cos2(165°) – 2 expressed as a single trigonometric function? 4cos(330°) 2cos(330°) 4cos(82.5°) 2cos(82.5°)
Answer:
2cos(330º)
Step-by-step explanation:
both equal to √3
Expressing 4cos2(165°) – 2 as a single trignometric function, it will be written as : 2cos(330º)
Meaning of trigonometric functionTrigonometric function can be defined as real functions in mathematics that forms a relationship between an angle of a right-angled triangle to the ratio of the length of two sides.
Trigonometric function is very important as it is mostly concerned with functions of angles and their application in calculation
In conclusion, to express 4cos2(165°) – 2 as a single trignometric function, it will be written as : 2cos(330º)
Learn more about trigonometric function: https://brainly.com/question/24349828
#SPJ2
In the figure below, k || l and m || n. Find the values of x and y.
Answer:
y=36
Step-by-step explanation:
using that 63° angle there on the right, we know that the other angle for a 180° total is 117°.
Now we have to figure out y using that total of 117
(4y-27)=117
4y-27=117
4y=144
y=36
Now if we substitute y...
(4y-27)=117
(4(36)-27)=117
(144-27)=117
(117)=117
Tickets to a show cost $5.50 for adults and $4.25 for students. A family is purchasing 2 adult tickets and 3 student tickets. What is the exact cost?
Answer:
$23.75
Step-by-step explanation:
5.50*2=11
4.25*3=12.75
11.00+12.75=23.75
Alan bought 3 CDs that were each the same price. Including sales tax, he paid a total of $38.70. Each CD had a tax of $1.10. What was the price of each CD before tax?
Answer:
$11.80
Step-by-step explanation:
3*$1.10 = $3.30
price without tax,
= 38.70-3.30
= 35.40
Cost of each CD,
= 35.40/3
= 11.80
Answer:
11.80 dollars
Step-by-step explanation:
Well, first I would multiply 1.10 by 3 which is 3.30 then subtract 38.70 - 3.30 and get 35.40, and finally divide 35.40 by 3 to get 11.80
If you’re correct you’ll get brainliest answer!
Factor out the coefficient of the variable term.
The expression 6s - 3/4 factored is
Answer:
[tex]6s - \frac{3}{4}=3(2s - \frac{1}{4})[/tex]
Step-by-step explanation:
Given
[tex]6s - \frac{3}{4}[/tex]
Required
Factorize
[tex]6s - \frac{3}{4}[/tex]
Express 6s as 3 * 2s
[tex]3 * 2s - \frac{3}{4}[/tex]
Express 3/4 as 3 * 1/4
[tex]3 * 2s - 3 * \frac{1}{4}[/tex]
Factorize:
[tex]3(2s - \frac{1}{4})[/tex]
Hence:
[tex]6s - \frac{3}{4}=3(2s - \frac{1}{4})[/tex]
What is the value of x in the equation -x = 2 - 3x + 6?
a) 8
b) -4
c) 4
d) -8
Answer: x = 4
Step-by-step explanation:
first, we calculate it.
-x = 8 - 3x
then, we move the variable to the left.
-x + 3x = 8
then, we collect like terms.
2x = 8
finally, we divide both sides.
x = 4
What is X / 2 + 1 > 3
Answer:
Step-by-step explanation:
here you go mate'
step 1
X / 2 + 1 > 3 equation
step 2
X / 2 + 1 > 3 simplify the equation
step 3
1/ 2 + 1 > 3 subtract the number at the front
1 / 2 + 1 (-1)> 3(-1)
step 4
1/2x>2 multiply
answer
x>4
If AABC = ADEC,
ZB = 40° and ZE = 2x + 4
A
B
с
E
x = [?]
Step-by-step explanation:
The angle at B is the same as the angle at E so equate them to each other to find x
2x+4=40°
2x=40-4
2x=36
x=36/2=18
Shaq runs once around the track in 8.07 minutes. Felicia runs once
around the track in 4.90 minutes less than Shaq. How long does it
take Felicia to run once around the track? HUH?! Please help!
Answer:
Felicia needs 3.17 minutes to run once around the track
Step-by-step explanation:
Subtraction
Shaq is known to run once around the track in 8.07 minutes. Felicia runs once around the track in 4.90 less than Shaq.
We don't know how long does it take Felicia to run once around the track, but we can find it by subtracting the time done by Shaq with the difference between their relative times.
Felicia takes 8.07 min - 4.90 min = 3.17 min.
Felicia needs 3.17 minutes to run once around the track
In the notation "s(X) = ...," what does "s(x)" represent?
A.
The value of s(x) depends on the value of x, since s is a function of x.
B.
The value found when sis multiplied by the value x.
С.
There is not enough information to answer this question.
D.
The value of x depends on the value of s(x), since x is a function of s.
Answer: Choice A) The value of s(x) depends on the value of x, since s is a function of x.
The outer letter s tells us what the function's name is. It's the dependent variable and it might be handy to tie it to the y variable. The x is the independent variable. It changes freely without relying on what s happens to be.
Answer: A. The value of s(x) depends on the value of x, since s is a function of x.
Step-by-step explanation: s(x) is the output of the function when a given value of x is calculated according the operations in the function.
Choose a value for B so that the relation below is not a function
Answer:2
Step-by-step explanation:
plz leave a like
Can someone help me with 12
Answer:
5p+4>14 (A)
Step-by-step explanation:
Open dot means that the value is not included.
how is per capita gross domestic product calculated "total market value of goods and services produced within a year divided by total population"?
Answer: See explanation
Step-by-step explanation:
You didn't really say what you want to know but let me explain.
The gross domestic product of an economy is the value of the goods and.d services that are being produced in such an economy. The gross domestic Product is used to know how well an economy is doing
Per capita gross domestic product (GDP) is a used to know the economic output of a particular country per person. It is calculated by dividing the GDP of such an economy by the population.
For example, let us say the GDP of a country is $800,000,000 and the population is 3,500,254. Therefore, the per capita GDP would be:
= $800,000,000 / 3,500,254
= $228.56 per person
Answer:total market value of goods and services produced within a year divided by total population
Step-by-step explanation:
basic defenition
Twice the sum of x and 3 is decreased by 13
Given:
Twice the sum of x and 3 is decreased by 13.
To find:
The expression for the given statement.
Solution:
The sum of x and 3 is (x+3).
Twice the sum of x and 3 is two times of (x+3), i.e., 2(x+3)
Negative sign is used of decrease.
Decreased by 13 is represented by -13.
Using these representation, we get
Twice the sum of x and 3 is decreased by 13: [tex]2(x+3)-13[/tex]
Therefore, the required expression is [tex]2(x+3)-13[/tex].
Maria planted 6 pots of flowers each pot holds 8 flowers. Explain how to use the bar model to solve for the total number of flowers. Include the total number of flowers in your answer
Answer:
[tex]48[/tex]
Step-by-step explanation:
There are [tex]6[/tex] pots each of which contains [tex]8[/tex] flowers.
In the bar model it can be seen that one unit of the bar represents a pot with [tex]8[/tex] flowers. The entire bar represents [tex]6[/tex] pots. We will need to add [tex]8[/tex] six times or multiply [tex]8[/tex] with [tex]6[/tex] to find the total number of flowers.
So total number of flowers is
[tex]8+8+8+8+8+8=48[/tex]
or
[tex]8\times 6=48[/tex].
So, the total number of flower is [tex]48[/tex].
tickets to a concert went on sale at 10 a.m. by 12 p.m. 208 tickets have already been sold at this rate how many tickets will be sold in the first 5 hours of the tickets go on sale
A. 520
B. 1,040
C. 41.6
D.728
Answer:
We conclude that 520 tickets will be sold in the first 5 hours of the tickets go on sale.
Hence, option A is true.
Step-by-step explanation:
Given that the tickets to a concert went on sale at 10 a.m. by 12 p.m.
10 a.m. by 12 p.m means the total number of hours = 2 hoursGiven that the tickets sold in 2 hours = 208
Thus,
Unit rate = 208 tickets / 2 hours
= 104 tickets per hour
Therefore,
Tickets sold in the first 5 hours of the tickets go on sale:
104 × 5 = 520 tickets
Therefore, we conclude that 520 tickets will be sold in the first 5 hours of the tickets go on sale.
Hence, option A is true.
Anyone plz help me, plz show the working. THANK YOU SO MUCH!
9. What is the slope of the equation below?
y=-5 x + 9
Answer:
slope = - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 5x + 9 ← is in slope- intercept form
with slope m = - 5
Colton is taking a long bike ride where he rides at a constant speed. The distance he bikes is proportional to the amount of time he has been biking. After 3.5 hours, he has traveled a distance of 49 miles.(b) Colton travels at the same rate as in (a) for 6 hours. Let d be the distance he biked. Set up and solve a proportion for d. (c) Colton would like to bike 200 miles. Let h be the number of hours it will take Colton to bike this distance. Solve a proportion for h. Round to the nearest tenth of an hour.
Answer:
b) [tex]d[/tex] = 84 miles
c) [tex]h[/tex] = 14.3 hours
Step-by-step explanation:
Given that:
The speed of Colton is constant while riding a bike.
Formula for speed is given as:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
If speed is constant, then we can deduct that:
[tex]Distance \propto Time[/tex]
Time = 3.5 hours
Distance = 49 miles
Therefore, the speed will be equal to:
Speed = [tex]\frac{49}{3.5}[/tex] = 14 miles/hr
b) Given that:
Time = 6 hours, then we have to find the distance to be hiked if the speed is same.
[tex]14 = \dfrac{d}{6}\\\Rightarrow d = \bold{84}\ miles/hr[/tex]
c) Given that:
Distance = 200 miles
Number of hours = [tex]h[/tex]
To find, the value of [tex]h[/tex].
[tex]14 = \dfrac{200}{h}\\\Rightarrow h = \dfrac{200}{14}\\\Rightarrow h = \bold{14.3}\ hours[/tex]