Answer: x is -2.5 or [tex]-2\frac{1}{2}[/tex]
Step-by-step explanation:
We need to solve for x
-3=4x+7
Step 1) Subtract 7 from both sides
-3-7=4x+7-7
-10=4x
Step 2) Divide both sides by 4 to isolate x
-10=4x
[tex]\frac{-10}{4} =\frac{4x}{4} \\-2.5=x[/tex]
Which sum is rational?
A. 1 + 18
B. 25 + 1.75
C. V3 + 5.5
D. I+V2
Answer: B. √25 + 1.75.
Step-by-step explanation: Rational Numbers are numbers that terminate or don't need to be terminated. For example, 1/3 is a repeating number, but we can terminate the value, whereas pi is never ending, and there is no terminating with that value. Numbers like 5.56 and 7/8 are rational because they don't need to be terminated to be rational. √25 is 5, no decimals to terminate or anything, and that makes the value rational. 1.75 is also rational, and that's why equation c is fully rational. √3 and √2 can't terminate, because both are 1.73205080757 and 1.41421356237, which means that they still can't terminate. Pi cannot terminate, so that's why the answer choices with pi aren't rational.
Hope this helps! :)
If \cos\theta = \frac{2}{\sqrt{14}}cosθ= 14 2 and angle \thetaθ is in Quadrant I, what is the exact value of \tan 2\thetatan2θ in simplest radical form?
θ is in quadrant I, so cos(θ) and sin(θ) and hence tan(θ) are all positive.
Recall that
sec²(θ) = 1 + tan²(θ)
We have
cos(θ) = 2/√14 ⇒ sec(θ) = √14/2 = √(7/2)
Then
tan(θ) = +√(sec²(θ) - 1) = √(5/2)
Also recall the identities
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
from which we get
tan(x + y) = (sin(x) cos(y) + cos(x) sin(y)) / (cos(x) cos(y) - sin(x) sin(y))
tan(x + y) = (tan(x) + tan(y)) / (1 - tan(x) tan(y))
so that
tan(2θ) = 2 tan(θ) / (1 - tan²(θ)) = -(2√10)/3
Cost of T-shirts 5-0-15-20-25-30-35-40 What is the minimum cost of a t-shirt?
Answer: 10
Step-by-step explanation:
Because if you look at the box plot the minimum dot/point (all the way to the left) is 10
Determine the intercepts of the line.
Do not round your answers.
y = 4x + 7
X-intercept: ( __ , __ )
Y-intercept: ( __ , __ )
Answer:
y intercept is (0,7) & x is (7/4,0)
Step-by-step explanation:
you put 0 for y or x and solve to get the intercept. for y int, you put 0 where the x is. for x int, put 0 at y.
y intercept is (0,7).
y = 4(0) + 7
y = 0 + 7
y = 7
x intercept is (7/4,0)
0 = 4x + 7
7 = 4x
7/4 = 4x/4
7/4 = x
Find the 66th term in the following
arithmetic sequence :
-92, -85, -78, -71, .
363
Step-by-step explanationT1= a= -92
T2= -85
common difference d = T2-T1
d = -85 -(-92)
= -85 +92
= 7
Tn = a + (n-1)d
T66 = -92 + (66-1)7
= -92 + (65)7
= -92 + 455
= 363
7. ) Find the area of the given figure.
A) 178. 3 m2
B) 196. 5 m2
C) 250. 8 m2
D) 292. 5 m2
E) 297. 1 m2
Step-by-step explanation:
Where is the reference shape?
Han says, “The perimeter of the picture is 22 inches. If I cut the framing material into
9 pieces, each one being 2.5 inches by inch, I'll have more than enough material to
surround the picture because those pieces would mean 22.5 inches for the frame."
4
Do you agree with Han? Explain your reasoning.
Answer: No! It has no truth! YOU CAN NOT CUT SOMETHING TO MAKE MORE OF IT!!!!!!!!!!!
Step-by-step explanation:
what is the radius of a 3 1/2 inch circle
Answer:
1.75 in
Step-by-step explanation:
Diameter = 3.5 in
Radius = D ÷ 2 = 1.75 in
I hope this helpls
Easy math question help
Answer:
irrational
Step-by-step explanation:
sqrt(3) is never ending.
Since it is never ending it is irrational
Answer:
irrational
Step-by-step explanation:
sqrt(3) is never-ending.
Since it is never-ending it is irrational
Stan’s Car Rental charges $35 per day plus $0. 25 per mile. Denise wants to rent one of Stan’s cars, keeping the total cost of the rental to no more than $55. What is the greatest number of miles Denise can drive the car to stay within her budget?
A train that travels at 240 km/hr will travel _____m in 30 seconds
Answer: 8 meters
Step-by-step explanation: you divide 240 by 30
Please bots keep spamming my answers someone really I'm begging you I need this answer to study for my test tomorrow
Selenas snow cone stand sells small snow cones for $2 and large snow cones for $3.50. One summer day, she sold $136 worth of snow cones. If the number of large snow cones sold was 12 more than the number of smalls, how many of each size did she sell?
small cones = 22
large cones = 34
hope it reall helps...
PLEASEEE HELPP!!!!!!
Answer:
Letter D.
Step-by-step explanation:
hope it helps please mark me brainliest
what are the domain and range of the function in the graph? round to the nearest tenth
Answer:
can you send a pic of the graph so we can give you an answer?
Find the area and circumference of the circle if It is 13 in
Answer:
Area: 531 in²
Circumference: 82 in
Step-by-step explanation:
Given:
radius = 13 inchesπ = 3.14round to nearest whole numberTo find:
AreaCircumferenceArea of Circle:
[tex]\displaystyle \large{A=\pi r^2}[/tex]
A = areaTherefore:
[tex]\displaystyle \large{A=3.14 \cdot 13^2}\\\displaystyle \large{A=530.66 }[/tex]
Round to nearest whole number:
If the digit is at least or greater than 5, round to 1.If the digit is less than 5, don’t do anything.Therefore, the area is 531 inches squared
Circumference of Circle:
[tex]\displaystyle \large{C=2\pi r}[/tex]
C = circumferenceTherefore:
[tex]\displaystyle \large{C=2\cdot 3.14 \cdot 13}\\\displaystyle \large{C=81.64}[/tex]
Round to nearest whole number:
Hence, the circumference is 82 inches
Which of the following describe 13
Answer:
It is a rational number.
Step-by-step explanation:
since it is not a perfect square therefore it does not have an exact square root. also any number that is positive or negative, positive or zero, and can be write as a fraction
Find the value of r.
Note: Write your answer as a decimal.
Answer:
[tex]\huge\boxed{\sf r = 10.5}[/tex]
Step-by-step explanation:
Since it is a right-angled triangle, it has base, perpendicular and hypotenuse.
Base = r
Perpendicular = 14
Hypotenuse = r + 7
Using Pythagoras theorem:
[tex](Hypotenuse)^2 = (Base)^2+(Perp)^2[/tex]
Put the values
(r + 7)² = (r)² + (14)²
Using formula a² + 2ab + b² = (a + b)²
r² + 14r + 49 = r² + 196
Subtract r² to both sides
14r + 49 = 196
Subtract 49 to both sides
14r = 196 - 49
14r = 147
Divide 14 to both sides
r = 147 / 14
r = 10.5
[tex]\rule[225]{225}{2}[/tex]
Find the LCM by first finding the prime factors.
3, 4, 8, 12
Answer:
12
Step-by-step explanation:
Four groups must present their final projects to the class the groups are listed alphabetically from group a through group D the teacher will randomly choose a group to present their project first
Answer:
What is your question though?
Sasha’s daily tips this work week were $43, $32, $65, $88, $50, and $72. Is Sasha correct in thinking that the mean accurately represents how much money she makes in daily tips? Yes, Sasha is correct. The mean amount she makes is $58. 33 in a day. Yes, Sasha is correct. The mean amount she makes is $65. 33 in a day. No, Sasha is not correct. The median amount she makes is $53. 00 in a day. No, Sasha is not correct. The median amount she makes is $60. 00 in a day.
Answer: Yes Sasha is correct she makes $58.33 a day
Step-by-step explanation: First add all the tips
[43 + 32 + 65 + 88 +50 + 72 =350]
Then divide by how many tips there are
[350 ÷ 6]
therefore your answer is $58.33
Find the coordinates of the vertices of the figure formed by each system of inequalities.
y + x>-5
y>X-9
3y +x< 13
a. (2,9), (-14, 1), (10,-7)
b. (2,-7), (10, 1), (-14,9)
c. (2,7), (10, 1), (14,9)
d. (2,-7), (-20, 11), (-14,9)
Answer: B
Step-by-step explanation:
I have a deadline for this soon please help (edmentum)
Michelle has private health insurance that cost $435 a month. Her new employer will provide the same health insurance at no cost to her. What is the health insurance worth as a benefit of employment?
The health insurance worth as a benefit for Michelle is = $870.
Calculation of total health insurance benefitsThe private health insurance cost for Michelle = $435
The new employer will provide the same health insurance = $435
Therefore, the health insurance worth as a benefit for Michelle is = $435 + $435 = $870
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Traci mixed nuts and raisins together in bags to make a trail mix. She had a total of 6 cups of nuts and 8 cups of raisins. She placed 3 cup of nuts in each bag, and 4 cup of raisins in each bag. Traci wanted each bag to have a mixture of nuts and raisins. After Traci uses all the nuts she has, how many more bags need nuts added?
Answer:
14
Step-by-step explanation:
A cellular phone sells for $99.00. The company is
offering a discount of 33% for a one-year service
contract. There is an 8.25% sales tax. How much will
Bert have to pay for the phone if he takes the one-year
service contract?
a. $35.36
b. $40.83
c. $71.80
d. $73.50
You earn $1,166 gross taxable income every week, and have claimed no exemptions. assuming that you have no other sources of income, what is the amount of income tax withheld each week? for weekly gross income between 1,160 and 1,170 dollars and claiming no exemptions, 340 dollars will be withheld each week. a. $323 b. $337 c. $340 d. $344
They are exempt from income tax and we would get the income tax withheld as $340
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
You earn $1,166 gross taxable income every week and have claimed no exemptions. assuming that you have no other sources of income.
Gross taxable Income = $ 1,166
Rate of Income tax = 30%
Amount of income tax = 30 % of 1,166
= 30/100 × 1,166
= $339.6
= $340
Therefore. they are exempt from income tax and we would get the income tax withheld as $340.
Read more about taxable income here:
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Answer:
340
Step-by-step explanation:
The ball had a made of 2 kg and final speed of 5 m/s. What is the kinetic energy of the ball? Give your answer in joules (J) Recall that the equation for finding kinetic energy is ‘’Kinetic Energy =1/2mass x speed
Answer:
25 J
Step-by-step explanation:
Using the proper formula for kinetic energy ...
KE = 1/2mv²
we can substitute the given values to find the kinetic energy of the ball.
__
KE = 1/2(2 kg)(5 m/s)² = 25 J
_____
The unit "Joule" is a derived SI unti equivalent to 1 kg·m²/s².
The number of links on a chain is proportional to the length of the chain. If 25 links create a chain that is 21.25 inches long, than how many links are in a chain that is 80.75 inches long
Answer:
95
Step-by-step explanation:
21.25 times 4 is 85
so it's 3 point something
then you do 80.75 divided by 21.25 and get 3.8 and then 25 times 3.8 is 95
Links are in a chain that is 80.75 inches long are 95.
The number of links on a chain is proportional to the length of the chain.
If 25 links create a chain that is 21.25 inches long,
then how many links are in a chain that is 80.75 inches long.
What are the inches?The inch can be defined as a unit of length in the customary system of measurement.
21.25 times 4 is 85.
Then you divided 80.75 by 21.25.
[tex]\frac{80.75}{21.25} =3.8[/tex]
Then 25 times 3.8 is 95
[tex]3.8\times 25=95[/tex]
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Grayson biked 45 miles in 3 hours Maya biked 26 miles in 2 hours. if they both kept a constant speed, how much faster did Grayson bike than Maya?
PLEASE HELP ASAP
The speeds of both Grayson and Maya can be found using the equation:
distance/time
So 45/3
and
26/2
Grayson was going 15mph while Maya was going 13mph
So Grayson was going 2mph faster than Maya
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer: 24 students have less than 20 pets
Step-by-step explanation: