Solve: 3x + 7 > 28
Help me please
Answer:
x > 7
Step-by-step explanation:
3x + 7 > 28
First, move over the 7.
3x + 7-7 > 28-7
3x > 21
Then, divide by 3
3x/3 > 21/3
x > 7
Answer:
[tex]x>7[/tex]
Step-by-step explanation:
We have the inequality [tex]3x+7>28[/tex] and we want to solve it for [tex]x[/tex].
1) Subtract 7 from both sides: [tex]3x + 7 -7>28-7[/tex]
2) Simplify by collecting the terms together: [tex]3x > 21[/tex]
3) Divide both sides by 3 to get [tex]x[/tex] on it's own: [tex]\frac{3x}{3} >\frac{21}{3}[/tex]
4) Simplify: [tex]x > 7[/tex]
So [tex]x[/tex] must be greater than 7 for it to satisfy the inequality [tex]3x+7>28[/tex].
If it is below or equal to 7, it does not work.
A shuttle service transports passengers from the airport to local hotels. The vans used have room for up to 6 passengers. Data collected over several years indicate that the number of passengers per trip to the hotels follow the following probabilities.
Passengers: 1 2 3 4 5 6
Probability: 0.20 0.25 0.22 0.13 0.10 0.10
Required:
A van leaves the airport for the local hotels. What is the probability there are at least 4 passengers on board?
Answer:
Probability = 0.33
Step-by-step explanation:
Passengers: 1 2 3 4 5 6
Probability: 0.20 0.25 0.22 0.13 0.10 0.10
Let No. of passengers = x ; So probability of at least 4 passengers
Prob (x > 4) = Prob (x = 4) + Prob (x = 5) + Prob (x = 6)
= 0.13 + 0.10 + 0.10
= 0.33
1. It is a four-digit whole number.
2. Each of its digits is even.
3. Each of its digits is different.
4. The sum of its one digit and its hundreds digit is 10.
5. The sum of its tens digit and its thousand digit is 10.
6. It is greater than 7000.
7. It is divisible by 4.
8. The numeral O is not one of its digits.
9. It is divisible by 8.
10. Its hundreds digit is 6.
Answer:
8624
Step-by-step explanation:
let's write four blanks to represent the number _ _ _ _
by rule #10 we can fill in one digit
_ 6 _ _
using rule 4 we can wee that the ones digit is 4
_ 6 _ 4
We know that the thousand's digit has to be an even number greater than 7 (which leaves 8 only)
8 6 _ 4
using rule 5 we can see that the tens digit is 2
get get
8624
A number is multiplied by 4, That result is added to 12. The final number is 40.
What is the original number.
A. 2
B. 7
C.13
D.22
Answer:
Step-by-step explanation:
Answer:
the answer is 7
Carmen is painting a rectangular wall that is 9 feet long and 14 feet wide. What is the area that Carmen will paint?
o
A 23 square feet
B. 46 square feet
o
C. 63 square feet
D. 126 square feet
PLEASE HELP
What is 7/8 - 6/7 can anybody tell me
Answer:
0.01785714285
Step-by-step explanation:
You can round it to 0.18 or something but yeah
Answer:
0.01785714286 or 1/56
Step-by-step explanation:
Turn both into a decimal and then subtract. Turn the answer into a fraction, 1/56.
nelda needs a wrench to fix her bike a 5/8 inch wrench was too big a 1/4 inch wrench what's the small which of the following would be bigger than 1/4 Inch wrench in smaller than the 5/8 inch wrench
Answer: 1/2
Step-by-step explanation:
An airplane ascended at a rate of
2,000 feet per minute. What is the
altitude of the plane after 15 minutes
Answer:
the altitude of the plane is 30,000 after 15 minutes
Step-by-step explanation:
since the plane goes up 2,000 ft per minute I multiplied 2,000 by 15(the minutes) and got 30,000
PLZZZ HELP!!! Brainliest to whoever can help!!! T^T
Answer:
I think it B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
h=2x^2
b=5x^2+4x
we know that
area of triangle (A)=1/2×b×h
=1/2×2x^2×(5x^2+4x)
=x^2(5x^2+4x)
=5x^4+4x^3 square units
A ball as a radius of 18cm. What is the approximate volume of the ball?
Answer:
what I got was 24438.9cm³
Find the measure of angle NXO. The measure of angle MXO is 110*
Answer:
60º
Step-by-step explanation:
NXO = MXO - MXN
NXO = 110 - 50
NXO = 60
50 POINTS !!
PLEASE HELP
EXPLAIN HOW YOU GOT IT !!!!
ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
Step-by-step explanation:
Hope this helps u!!
I need help with this please
Answer:
[tex]v=150~m^3[/tex]
Step-by-step explanation:
[tex]l=10[/tex]
[tex]w=5[/tex]
[tex]h=3[/tex]
[tex]volume=l*w*h[/tex]
[tex]10*5*3=[/tex][tex]150~m^3[/tex]-----------------------hope it helps...have a great day!!The dimensions of the Rectangular prism are :
10 mi 5 mi3 miSolution :[tex] \large \boxed {\mathrm{volume = l \times b \times h}}[/tex]
[tex]10 \times 5 \times 3[/tex][tex] \mathrm{150 \: mi {}^{3} }[/tex]___________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Find the sum or difference. -3(h-4) -2(-6h + 5)
Answer:
sum = -15h+2
Step-by-step explanation:
If a circle has an area of 144 sq. cm, what will be its area if the radius is reduced to one third?
Answer:
Step-by-step explanation:
1/3; 33.33 or 0.33
Where do the parabola defined by y=-x^2+4x+1 and the line defined by y=-x+5 intersect?
A student measures the air pressure inside her bicycle tires before and after she goes on a long bicycle ride. What will she most likely observe?
Answer:
She will see that the pressure went up, not down!
Step-by-step explanation:
1. In a closed system, The volume inside the tire shouldn't change much (the losses will be small)
2. For a closed system, the Pressure inside a bicycle tire will increase with the increase of its Temperature
3. In a long bicycle ride, the constant friction of the tire to the ground will heat up the air inside the tire, thus increasing the pressure inside the tire
The problem solving is on the image, 6th grade
6 cm = ______ mm *
50 mm = ______ cm
100 mm=_______cm
20 mm = ______ cm
5kg = ______ g *
800g = _____kg *
6000mg = ______kg *
2lit = _____ml *
75ml = ____lit *
82km = ____m
Answer:
6 cm = __6*10=60____ mm *
50 mm = _[tex] \frac{50}{10} [/tex]__=5___ cm
100 mm=__[tex] \frac{100}{10} [/tex]=10____cm
20 mm = __[tex] \frac{20}{10} [/tex]_=2_____ cm
5kg = _5*1000=5000_____ g *
800g = ____[tex] \frac{800}{1000} [/tex]=0.8___kg
6000mg = ___[tex] \frac{6000}{1000000} [/tex]=0.006___kg *
2lit = _2*1000=2000_ml *
75ml = __[tex] \frac{75}{1000} [/tex]=0.075_lit *
82km = 82*1000=82000__m
Abe is going to plant 54 oak trees and 27 pine trees. Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree. What is the greatest number of trees Abe can have in each row?
HELP!
Answer:
9
Step-by-step explanation:
The GCF between 54 and 27 is nine.
find the equation of the straight line which has a gradient of 3 and passes through the point (-1, 3)
Answer:
y=3x+6
Step-by-step explanation: 3=3(-1)+b
3=-3+b
+3 +3
6=b
find the solution of the following simultaneous equations by the Cramer's method
2x+y-3z=-4
4x-2y+z=9
3x+5y-2z=5
9514 1404 393
Answer:
(x, y, z) = (2, 1, 3)
Step-by-step explanation:
Cramer's rule says you can find the solution by computing the determinants of the matrices obtained by replacing the corresponding variable coefficients with the constant vector.
The attached shows the resulting matrices for x, y, z and the unmodified coefficient matrix (at far right). The determinants of each are listed below, and the result of dividing the determinant for each variable by the determinant of the coefficient matrix is shown below that. In other words, ...
[tex]\displaystyle x=\frac{\left|\begin{array}{ccc}-4&1&-3\\9&-2&1\\5&5&-2\end{array}\right| }{\left|\begin{array}{ccc}2&1&-3\\4&-2&1\\3&5&-2\end{array}\right| }=\frac{-138}{-69}=2[/tex]
The other variable values are computed similarly.
The solution by Cramer's rule is (x, y, z) = (2, 1, 3).
The perimeter of a rectangular field is 332 yards. If the length of the field is 92 yd what is the width?
Answer:
The width of the rectangular field is equal to 74 yards.
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Geometry
Perimeter Formula [Rectangle]:
[tex]\displaystyle P = 2l + 2w[/tex]
Step-by-step explanation:
Step 1: Define
Identify given variables.
P = 332 yds
l = 92 yds
Step 2: Find Width
[Perimeter Formula - Rectangle] Substitute in variables:∴ the width of the field is equal to 74 yards.
___
Learn more about Geometry: https://brainly.com/question/27795993
___
Topic: Geometry
According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327. A random sample of 10 recent graduates from the small college was selected and the mean and standard deviation of the salary for those graduates was found. With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?
(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.
(B) There is convincing statistical evidence that the mean salary for the sample of 10 college graduates from the small college is greater than $45,327.
(C) There is not convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327
(D) There is not convincing statistical evidence that the mean salary for the sample of 10 college graduates from the small college is greater than $45,327.
(E) There is not convincing statistical evidence that the graduates from this college will always eam more than $45,327.
Answer:
(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.
Step-by-step explanation:
According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327.
At the null hypothesis, we test if the mean salary is the expected salary of $45,327, that is:
[tex]H_0: \mu = 45327[/tex]
At the alternate hypothesis, we test if the salary is greater than the expected salary of $45,327, that is:
[tex]H_1: \mu > 45327[/tex]
With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?
The p-value of the test if 0.045 < 0.05, which means that there is sufficient evidence to accept the alternate hypothesis, that is, to conclude that the mean salary for all recent college graduates from the small college is greater than $45,327.
This means that the correct answer is given by option A.
find the area of this figure
Answer:
164
Step-by-step explanation:
5×8×2=80
7×12=84
84+80=164
What is the volume of the rectangular prism?
Type the answer in the boxes below.
Answer:
15 cm^3
Step-by-step explanation:
I think it's 15 because if you count, there are 30 boxes. Each box has a volume of 1/2, so you are supposed to multiply, which means 1/2x30.
1/2x30=15
I hope it's right!
Volume is a three-dimensional scalar quantity. The volume of the rectangular prism is 3.75 cm³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The dimension of the rectangular prism in terms of small cubes is,
Length = 5 cubesWidth = 2 cubesHeight = 3 cubesTherefore, the number of cubes that made rectangular prism are,
Number of cubes = 5 × 2 × 3 = 30 cubes.
As the length of a side of the cube is 0.5 cm, therefore, the volume of a single cube is,
Volume of a single cube = a³ = (0.5cm)³ = 0.125cm³
Since the volume of each cube is 0.125cm³, therefore, the volume of the rectangular prism will be,
Volume of prism = 30 × 0.125 = 3.75 cm³
Hence, the volume of the rectangular prism is 3.75 cm³.
Learn more about Volume:
https://brainly.com/question/13338592
#SPJ2
On Monday nights, Papa's Pizza offers a special two-for-one deal on its medium two topping
pizzas All pizzas come with sauce and cheese. The customer can choose any 2 of Papa's 30
toppings to complete the order. How many different possible pizzas are there, assuming the
customer must choose exactly two different toppings?
Answer: 300
Step-by-step explanation:
The total number of different large pizzas is 870
How many different combinations are there?
First, we need to identify the selections, and then the number of options for each of these selections.
Here we have two selections:
First topping.Second topping.Such that the options are:
First topping: 30 options.Second topping: 29 options (because one was already selected and we can't repeat).The total number of combinations is given by the product between the numbers of options, we will have:
C = 30*29 = 870
If you want to learn more about combinations, you can read:
https://brainly.com/question/11732255
Find the equation that has a slope of -1/8 and passes through the point (0,-4)
A. Y= 1/8x
B. Y=1/4x-4
C. Y=-1/8x-4
Answer:
Option C
Step-by-step explanation:
Given :-
The slope of the line is -1/8The line passes through (0,-4) .And we need to find out the equation of the line .We are here given slope and a point . So we can use the slope point form of the line. As ,
[tex]:\sf\implies m ( x - x_1)= y - y_1 \\\\\sf:\implies \dfrac{-1}{8}(x -0)= y - (-4) \\\\\sf:\implies \dfrac{-x}{8}= y +4 \\\\\sf:\implies \boxed{ \sf\red{y = \dfrac{-x}{8}-4}}[/tex]
Hence the option C is correct.
How to solve Solve 3!
Answer:
by solving 3
Step-by-step explanation:
How many one-millimeter cubes do you need to fill a cube that has an edge length of 1 centimeter?
Answer:
10 one-millimeter cubes
Good luck on your quiz homework etc
Source of answer: https://bigideasmathanswer.com/big-ideas-math-answers-grade-6-chapter-7/