Answer:
3
Step-by-step explanation:
1/x=x+3/2x²
By cross-multiplication, we get,
2x²=x(x+3)
2x²=x²+3x
2x²-x²-3x=0
x²-3x=0
x(x-3)=0
x=3
Select the graph that would represent the best presentation of the solution set for Ixl <5.
Answer:
< = region below graph
> = region above graph
< = region below graph
> = region above graph
Step-by-step explanation:
Please help meh look at the phot I gave you.
Answer:
C
Step-by-step explanation:
Point B is at -0.5, -1 is not greater than -0.5.
Point A is at -1 and is not greater than Point B, because Point B is at -0.5.
Therefore, it is none of the above.
Answer:
C
Step-by-step explanation:
Therefore, it is none of the above.
The lines shown below are parallel. If the green line has a slope of -2, what is the slope of the red line? A. 1/2 B. -1/2 C. 2 D. -2
Answer:
D, -2
Step-by-step explanation:
Hello! If two lines are parallels, it means they will never meet. This means that they have to be the same slope, because if one is even the slightest bit different, it will eventually touch the other line! A great website to understand visually, is Desmos! You can plot the lines and see for yourself if you're a visual learner!
Hope this helps! :)
the ratio of boys to girls in a school is 4:5 there are 22o boys in the school. How many students attend the school
Answer:
495 students
Step-by-step explanation:
The 4 part of the ratio is the number of boys.
Divide the number of boys by 4 to find the value of one part of the ratio.
220 ÷ 4 = 55 ← value of 1 part of the ratio, thus
5 parts = 5 × 55 = 275 ← number of girls
Number of students = 220 + 275 = 495
Answer:
495 studentsStep-by-step explanation:
[tex]220 \: boys \\ 4:5 = 4 + 5 \\ boys \: = \frac{4}{9} \times x = 220 \\ = \frac{4x}{9} = \frac{220}{1} [/tex]
[tex]4x = 1980 \\ \frac{4x}{4} = \frac{1980}{4} \\ x = 495 \\ total \: no \: of \: students \: = 495 \\ [/tex]
14. Which of the following is the measure of ĐQRS?
A. 80°
B. 90°
C. 100
D. 115°
Evaluate 2x2 - 1 when x= 3.
O A. 35
O B. 25
O c. 5
O D. 17
Answer:[tex]2*3^{2} -1[/tex]
Step-by-step explanation:
calculate the power: 2*9-1
calculate the product or quotient:18-1
calculate the sum or difference:17
answer:17
The graph below shows a linear function and an exponential function. What is the minimum y-value after which the exponential function will always be greater than the linear function? y = 1 y = 3 y = 4 y = 5
Answer:
The correct option is:
y = 4
Step-by-step explanation:
We can see in the graph the behavior of both the exponential function and linear function. The point (1,4) is considered to be the point where the graph of both the functions is getting separated. We can see in the graph that before point (1,4), initially the y value of exponential function is first greater than that of a linear function, then at y=2 it becomes equal, from y=2 to y=4 the value of linear function is slightly bigger than the value of exponential function. However, after point y=4, the value of exponential function corresponding to a particular value of x is always greater than the value of linear function for the same value of x
Answer:
y=4
Step-by-step explanation:
yes
What is the slope-intercept equation of the line below?
Answer:
B.
[tex]y = - x + 2[/tex]
Answer:
b. y=-x+2
Step-by-step explanation:
hi!
the slope intercept form is y=mx+b where m is the slope, and b is the y intercept.
since the y intercept is postive 2, we can first eliminate choices A and C since they show a y intercept of negative 2, not positive 2.
next, we can eliminate d since the line of the graph is going downwards, meaning that the slope or m is negative.
Therefore, the correct answer is b.
u can also use a graphing calculator if youre unsure and plug in each equation and see if it matches with the graph.
3x^2 +y^2 = 9 for t(-1,3)
Answer:
the answer is 79
Step-by-step explanation:
im sorry but i have to do this cause it makes me not pay
HELP AM BEING TIMED!!!!!!!!!!
Answer: A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
just got it right EDG 2021
Will name brainliest please help me.
Answer:
CD = 9
Step-by-step explanation:
ΔADE is similar to ΔBCD
Such that:
AD is similar to CD
BD is similar to ED
AE is similar to BC
Taking the proportion of their sides to find the unknown sides CD
=> [tex]\frac{6}{2} = \frac{CD}{3}[/tex]
Cross Multiplying
=> 2(CD) = 3*6
=> CD = 18/2
=> CD = 9
A tank is 2m long, 1.4m wide and 1.8m high. find the volume of water in the tank when it is half full.
Answer:
volume of water in the tank when it its half full
The capacity of the water tank = (5.04) /2 = 2.52 m³
2,520 litres
Step-by-step explanation:
Dimensions of a water tank:
Length (l) = 2.0 m,
wide (w) = 1.4 m,
Depth (h)= 1.8 m,
Volume of the tank (V)
LWH
2.0m × 1.4m × 1.8 m
= 5.04 m³
= 5.04 × 1000 litres
/* 1m³ = 1000 litres */
5,040 litres
Therefore,
The capacity of the water tank = 5.04 m³
5,040 litres
can i get some help with this one so i can be done for today lol
Answer:
Step-by-step explanation:
Lets understand how to solve the permutations.
Let the example is [tex]^{5}P_{2}[/tex].
[tex]^{5}P_{2}=\frac{5!}{(5-2)!}[/tex]
[tex]=\frac{5!}{3!}[/tex]
= [tex]\frac{5\times 4\times 3\times 2\times 1}{3\times 2\times 1}[/tex]
= [tex]\frac{5\times 4\times 3!}{3!}[/tex] [Since 3×2×1 = 3!]
= 20
Now we will solve the question given,
Number of ways Dave can put 7 cars together = [tex]^{23}P_{7}[/tex]
[tex]^{23}P_{7}=\frac{23!}{(23-7)!}[/tex]
[tex]=\frac{23!}{16!}[/tex]
[tex]=\frac{23\times 22\times 21\times 20\times 19\times 18\times 17\times 16!}{16!}[/tex]
[tex]=23\times 22\times 21\times 20\times 19\times 18\times 17[/tex]
[tex]=1235591280[/tex]
HELP ME ASAP!!! A cargo plane left Los Angeles seven hours before an Air Force plane. The planes flew in opposite directions. The Air Force plane flew at 325 mph for two hours. After this time the planes were 5150 mi. apart. Find the cargo plane's speed.
The cargo plane's speed was 500 mph.
Solve the formula 27a+1/2b=4 for a.
Answer:
a = 4/27 - b/54
Step-by-step explanation:
27a+1/2b=4
Subtract 1/2 b from each side
27a+1/2b - 1/2 b=4-1/2 b
27a = 4 - 1/2 b
Divide each side by 27
27a/27 = 4/27 - 1/2 b/27
a = 4/27 - b/54
What is the volume of the rectangular prism below? (Don't forget to
label your answer!)
Answer: 84 3/8 or 84.375 inches cubed
Step-by-step explanation:
4 1/2 * 5 = 22 1/2
22 1/2 * 3 3/4 = 45/2 * 15/4 = 675/8
675/8 = 84 3/8 or 84.375
I need help answering this question please & thank you
Squares and rectangles have the same properties except ANSWERS: A) Opposite angles are congruent. B) Opposite sides are parallel. C) All four sides are congruent. D) Opposite sides are congruent.
Answer: C
Step-by-step explanation:
C) All four sides are congruent
A rectangle does not have all four sides that are congruent to each other (In harmony) however a square does because all it's sides are equal!
A rectangle does not have equal sides, only it's parrel sides are equal to each other.
If this really helped please mark me brainliest!
Answer:
C. All four sides are congruent
24. At a company picnic, 1/2 of the people are employees. 2/5 are employees' spouses. What percent are neither?
Answer:
One half of X are employees.
One third of X are employee's spouses.
We add one half PLUS one third:
1/2 + 1/3 = 3/6 + 2/6 = 5/6
Then we subtract that fraction from one whole, or 1,
to see what fraction is left. That is, we say
1 minus 5/6
which is
1 - 5/6
Now write 1 as 6/6
6/6 - 5/6
We get 1/6
So 1/6 is left. Now we need to make that into
a percent by multiplying it by 100 and tacking on a "%"
1/6 � 100
1/6 � 100/1
100/6
50/3
16 2/3 %
So 16 2/3 % of the people in
attendance are neither employees
nor employee's spouses.
Now let's check:
1/2 are employees. That's 50%
1/3 are wmployee's spouses. That's 33 1/3%
15 2/3 % are neither employees nor employee's spouses.
Add them up
50 %
33 1/3 %
16 2/3 %
--------
99 3/3 %
And 99 3/3% = 100%
Step-by-step explanation:
If a person can complete a job in 8 hours and his/her friend needs 6 hours to do the same job, what portion of the job would the tow of them complete by working together
for two hours?
Both of them can complete 7/12 of the job in 2 hours.
What is rate?Rate is the mathematical term use to show how one quantity varies with a standard quantity.
Analysis:
If He can do the job in 8 hours, then he can do 1/8 of the job in 1 hour
If his friend can do the same job in 6 hours, then he can do 1/6 of that job in 1 hour.
So both of them would do the same job combine in 1 hour = 1/8 + 1/6
LCM of 6 and 8 is 24 so that 3/24 + 4/24 = 7/24
In 2 hours they would complete = 7/24 x 2 = 7/12
In conclusion, both of them can do 7/12 of that job in 2 hours.
Learn more about rate: brainly.com/question/24304697
#SPJ1
Someone plz help me. I'm really confused.
Answer:
2) 1 dozen apple ( 12 apples ) = $4.92
1 apple = $4.92/12
= $0.41
3) distance = speed × time
= 9/10 × 10
= 9 miles
4) 61 minutes = 183 pages
1 minute = 3 pages
5) 8 days = 7 boats
1 day = 7/8 boats
6) speed = distance/ time
= 288/4
= 72 miles/hour
7) 5 cup of flour = 4 cups of sugar
1 cup of flour = 4/5 cup of sugar
Answer:
1. 50:1
50 ounces of gas per 1 ounce of oil has a 50:1 gas-to-oil ratio
——————————
2. $0.41
Divide $4.92 by a dozen (12) to get the amount per apple
4.92 / 12 = 0.41
——————————
3. 9
9/10 of a mile per minute means the car will travel 9 miles in 10 minutes. This is represented by a ratio of 9:10 or 9/10.
——————————
4. 3
Divide 183 by 61 to get the number of pages per minute
183 / 61 = 3
——————————
5. 7/8
7 boats per 8 days means that 7/8 of a boat can be made in a day. This is represented by a ratio of 7:8 or 7/8.
——————————
6. 72
Divide 288 by 4 to get the number of miles per hour.
288 / 4 = 72
——————————
7. 4/5
4 cups of sugar for every 5 cups of flour means that 4/5 cups of sugar is for every cup of flour. This is represented by the ratio 4:5 or 4/5
Eva invested $10,000 in a savings account. If the interest rate is 3.5%, how much will be in the account in 10 years by
compounding continuously? Round to the nearest cent.
Answer:
The total in the account after 10 years would be: $14,190.68
Step-by-step explanation:
Recall the formula for continuous compounding:
[tex]A=P\,e^{r\,t}[/tex]
where "A" is the accrued value after t years (what we need to find), "P" is the principal invested (in our case $10,000), "r" is the interest rate in decimal form (in our case r = 0.035), and "t" is the time in years (in our case t = 10). Therefore the formula becomes:
[tex]A=P\,e^{r\,t}\\A=10000\,\,e^{0.035\,*\.10}\\A=14190.68[/tex]
Therefore the total in the account after 10 years would be: $14,190.68
Jose earns $400 during the summer. He deposits it in an account that pays simple interest at a rate of 3% per year. Which equation can you use to find the amount of simple interest that Jose earns in 1 year?
Answer:
12
Step-by-step explanation:
Since this is simple interest the equation will be P*T*R=I T=time which is 1 year. P=money invested or borrowed (aka princable) which is 400$. R=Annual rate is 3% per year and I= Interest after the number of years (aka answer) Hope this helps :)
Answer:
I = 400 x 0.03 x 1
Step-by-step explanation:
$400 is the principal, 0.03 is the decimal value for the annual rate, and the time is 1 year.
The table below shows student's preferred European football clubs as indicated in a survey run by
their math teacher. If two students were selected without replacement at random, what is the
probability that the first and second students prefer Juventus?
Answer:
Option D. 91/4950
Step-by-step explanation:
The following data were obtained from the question:
Barcelona (B) = 23
Real Madrid (R) = 23
Liverpool (L) = 22
Manchester City (M) = 18
Juventus (J) = 14
Total (T) = 100
Next, we shall determine the probability of the first pick i.e probability of Juventus. This is illustrated below:
P(J1) = n(J) /n(T)
P(J1) = 14/100
Now, the picking is done without replacement. The next pick being Juventus will reduce in number and likewise the total number will also reduce i.e
Juventus = 13
Total = 99
Therefore, the probability that the 2nd pick is Juventus is given below:
P(J2) = 13/99
Now, we can obtain the probability that the 1st and 2nd student prefer Juventus as follow:
P(J1 and J2) = P(J1) x P(J2)
P(J1) = 14/100
P(J2) = 13/99
P(J1 and J2) = P(J1) x P(J2)
P(J1 and J2) = 14/100 x 13/99
P(J1 and J2) = 7/50 x 13/99
P(J1 and J2) = 91/4950
Therefore, the probability that the 1st and 2nd student prefer Juventus is 91/4950
Membership to a music club costs $120. Members pay $20 per music lesson and nonmembers pay $35 per music lesson. How many music lessons would have to be taken for the cost to be the same for members and nonmembers? A. 85 B. 8 C. 3 D. 105
Triangle E G F is cut by line H J. Line H J goes from side E G through side G F. Lines E F and H J are parallel. Using the side-splitter theorem, which segment length would complete the proportion? StartFraction G H Over H E EndFraction = StartFraction question mark Over J F EndFraction GF JH GJ EF
Answer:
GJ
Step-by-step explanation:
The "Side Splitter" Theorem says that if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally.
In this case, lines EF and HJ are parallel, H is on side EG and J is on side GF; then using the side-splitter theorem:
[tex] \frac{GH}{HE} = \frac{GJ}{JF} [/tex]
Answer:
It is C
Step-by-step explanation:
Took it on Edg
Help will give brainliest
Answer:
48/80*100 = 60 miles per hrs
Step-by-step explanation:
A new television set was recently purchased for the common room in a Residence Hall for $ 499.20 including tax. If the tax rate is 4 %, find the price of the television set before taxes. $______(Type an integer or a decimal rounded to two decimal places.)
Answer: $479.20
Step-by-step explanation:
[tex]499.20*0.04=19.968[/tex]
[tex]round \\[/tex] [tex]19.968[/tex]
= 20
tax= $20
[tex]499.20-20=479.2[/tex]
The price of the TV before tax was $479.20
Jeans were on sale for 20% off of the original price. If the tax rate is 6%, what will be the final cost on a pair of jeans that originally sold for $32?
Answer:
$27.14
Step-by-step explanation:
Given the following :
Discount on Jean:
20% off the original price = (100 - 20) × original price = (80% × original)
Original price = $32
Sales price after discount :
(80/100) × $32
0.8 × $32
= $25.6
Tax fee on sales price :
Tax rate = 6%
(6/100) × $25.6
0.06 × $25.6 = $1.536
Therefore, final cost of the Jean ;
Discounted price + tax fee
$25.6 + $1.536
= $27.136
= $27.14
Solve for v. 4= - 3/v+5 simplify your answer as much as possible
Answer:
v = -23/4 = -5 3/4
Step-by-step explanation:
4= - 3/(v+5)
Multiply each side by (v+5)
4 (v+5) = -3
Distribute
4v+20 = -3
Subtract 20 from each side
4v +20-20 = -3-20
4v = -23
Divide by 4
4v/4 = -23/4
v = -23/4