Answer:
Option C
Step-by-step explanation:
Given inequality is,
5x + 38 ≤ 4(2 - 5x)
5x + 38 ≤ 8 - 20x [Distributive property]
5x + 20x + 38 ≤ 8 - 20x + 20x [By adding 20x on both the sides of the inequality]
25x + 38 ≤ 8
(25x + 38) - 38 ≤ 8 - 38 [By subtracting 38 on both the sides of the inequality]
25x ≤ -30
[tex]\frac{25x}{25}\leq -\frac{30}{25}[/tex] [Dividing by 25 on both the sides of the inequality]
x ≤ 1.2
Therefore, Option (C) will be the correct graph.
A man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?
1) His plane speed equals ______ mph
2) The wind speed equals ______ mph
Answer:
1.) 120 mph
2.) 30 mph
Step-by-step explanation:
Given that a man flies a small airplane from Fargo to Bismarck, North Dakota- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1.2 hours. What is the planes speed in still air, and how fast is the wind blowing?
Let the wind speed = w
and the plane speed = p
From the first sentence,
P - w = 180/ 2
P - w = 90 ....... ( 1 )
From the second statement,
P + w = 180/1.2
P+ w = 150 ...... ( 2 )
Solve equation 1 and 2 simultaneously
P + w = 150
P - w = 90
Add the two equations
2P = 240
P = 120 mph
Substitute p in equation 1
W = 150 - 120
W = 30
Therefore, the wind speed is 30 mph and the plane speed is 120 mph
Mandy and her mom are making homemade play-dough. Besides the flour, the recipe calls for 1/4 cup of salt for every 3/4 cup of water
used. How much salt would they need if they used one cup of water?
Answer:
about a half teaspoon
Step-by-step explanation:
AE is an angle bisector of BAC if the measure of BAE = x + 30 and masure of angle EAC = 3x-10 determine Measure of angle EAC
The value of x for the given geometry will be 20°.
What is an angle?The angle is the measurement of the angular distance. For instance, we have a meter and an inch for linear motion, but we don't have a measurement for angular rotation, therefore the angle is helpful in determining angular rotation.
An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
Given that AE is a bisector of ∠BAE and ∠EAC
so,
∠BAE = ∠EAC
x + 30 = 3x - 10
x = 20°
Hence 20° will be the answer to the given question.
For more about the angle
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x divided by 39 = 1204 R38
Answer:
x=46994
Step-by-step explanation:
Just do 1204 38/39 * 39 to get x=46994
How many different combinations are there for the word MATH
Answer:
[tex]Combination = 24[/tex]
Step-by-step explanation:
Given
MATH
Required
Number of combination
First, we count the letters in MATH
There are 4 letters;
So:
[tex]n = 4[/tex]
Since, no letter is repeated.
The number of combination is n!
This gives:
[tex]Combination = 4![/tex]
[tex]Combination = 4*3*2*1[/tex]
[tex]Combination = 24[/tex]
What is the value of A if sin (A) = 3√2?
Not here
60
45
30
Answer:
sin A = √3/2sin A = sin 60°A = 60°Now, cot A = cot 60° = 1/√32cot² A - 1 = 2cot² 60° - 1= 2(1/√3)² - 1= 2/3 - 1 = -1/3Hence your required answer is -1/3Hope This Helps You!
Step-by-step explanation:
it might work
What is the equation of the line –3x–2y=30 in slope-intercept form?
Enter your answer in the box.
Answer:
y = - 1.5x - 15
Step-by-step explanation:
Step 1:
- 3x - 2y = 30 Equation
Step 2:
- 2y = 3x + 30 Add 3x on both sides
Step 3:
y = - 1.5x - 15 Divide 2 on both sides
Answer:
y = - 1.5x - 15
Hope This Helps :)
Answer: y = - 1.5x - 15
Step-by-step explanation:
First, we will add 3x to both sides of the equation.
-2y = 3x + 30
Next, we will divide 2 on both sides of the equation.
y = -1.5x - 15
Answer - y = -1.5x - 15
Use operations of exponent to simplify
3^5/3^-6
Answer:
[tex]\displaystyle \frac{3^5}{3^{-6}}=3^{11}[/tex]
Step-by-step explanation:
Properties of Exponents
They can be used to simplify expressions of the form
[tex]b^x\cdot b^y=b^{x+y}[/tex]
[tex]\displaystyle \frac{b^x}{b^y}=b^{x-y}[/tex]
The last property will be used to simplify:
[tex]\displaystyle \frac{3^5}{3^{-6}}=3^{5-(-6)}=3^{5+6}=3^{11}[/tex]
[tex]\mathbf{\displaystyle \frac{3^5}{3^{-6}}=3^{11}}[/tex]
What is the value of the exponential expression below 64 1/2
Answer:
its 8
Step-by-step explanation:
Which expression represents 6 less than a number, n?
Answer:
n-6
Step-by-step explanation:
less than is subtraction
6 is taken away from n
n-6
You can use the formula A = 252 + 4sh to find the surface area of a square prism
that has a base with edge length s and height h. A square prism has a base with
edges that are 12 centimeters long and a height of 15 centimeters. What is the
surface area of the square prism? Show your work.
Please answer fast!! I’m in a test. Give the full explanation
Answer:
The surface area is 972 square cm
Step-by-step explanation:
Numeric Value of Functions
Given the function:
A = 252 + 4sh
Where A is the surface area of a square prism , s is edge length of the base h is the height.
A square prism has a base with edges s=12 cm long and height of h=15 cm.
Substituting these values, we get:
A = 252 + 4(12)(15)
A = 252 + 720 = 972
A = 972
The surface area is 972 square cm
The surface area of the square prism is 1008 cm².
Surface area of a square prism:
Surface area = 2s² + 4shwhere
s = edge side
h = height
Therefore,
s = 12 cm
h = 15 cm
surface area = 2 × 12² + 4 × 12 × 15
surface area = 2 × 144 + 48 × 15
surface area = 288 + 720
surface area = 1008
surface area = 1008 cm²
learn more on square prism: https://brainly.com/question/20796251?referrer=searchResults
what does n equal? btw this is 6th grade! also < Is between 3 and 5
Answer:
n < 4
Step-by-step explanation:
[tex]\frac{1}{2} n+3<5[/tex]
-3 -3
[tex]\frac{1}{2} n[/tex] < 2
divide both sides by [tex]\frac{1}{2}[/tex]
n < 4
Hope this helps!!!
ANSWER FAST PLZ
find the height of a cone with a diameter of 12m whose volume is 113m3
A.2m
B.1m
C.9m
D.3m
Answer:
I'm pretty sure it's 3
Step-by-step explanation:
h=3(V/πr2)
I just plugged it into this equation
a baseball player got 13 hits in 50 times at bat. what percent of her times at bat did she get a hit
Answer:
26%
Step-by-step explanation:
Find the angle PQR [Geometry]
Answer:
5⁰
Step-by-step explanation:
Angle on A STRAIGHT line sums up to 180⁰
angle PQR and angle RQS are both on a straight line therefore they sum up to 180⁰
4x+129+5x+6=180
then here you group like terms
4x+5x=150-129-6
9x=45
divide both sides by 9
9 dividing 45 is 5
Find the 57th term of the following arithmetic sequence.
5, 14, 23, 32,
Answer:
509
Step-by-step explanation:
formula
L = a + (n - 1)*d
Givens
n = 57
a = 5
d = 9
Solution
t = 5 + (57 - 1)*9
t = 5 + 56*9
t = 5 + 504
t = 509
t = 556
A family went to a baseball game. They spent $25 to park the car in a parking lot and $24 per ticket. Which equation represents x, the total number of people going to the baseball game if the family spends y, $145 total?
The sum of the measures of the interior angles of a polygon is known to be
between 2100 and 2200. How many sides does the polygon have?
Answer: 5 sides
Step-by-step explanation:
write the value of 50 times the sum of 64 and 36
Answer:
500 :)
Step-by-step explanation:
10 - 3 (z - 2) = 5z + 7
Answer:
= 9/8
That's the answer
Which action would violate the Ninth Amendment?
speaking with a pharmacist about a prescription
accusing a political opponent of dishonest behavior
publishing a family recipe in a community cookbook
obtaining unauthorized personal information from a website
Answer:
d
Step-by-step explanation:
The action that would violate the Ninth Amendment would be:
d) Obtaining unauthorized personal information from a website.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, Today, the Ninth Amendment is used mainly to stop the government from expanding their power rather than just limiting their power.
The 9th amendment means that even if a right is not specifically mentioned in the Constitution, it still belongs to the people.
For example, in this case, the right to privacy. It's not specifically mentioned in the Constitution, but it is still a right that the government cannot take away.
Thus, The action that would violate the Ninth Amendment would be:
d) Obtaining unauthorized personal information from a website.
Learn more about the mathematical expression visit:
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Pleaseeeeeeeeeee help :)
Answer:
12: 21 16:28
Step-by-step explanation:
4 pounds are equal to 7 packs. 4x3=12, and 7x3=21, and so on.
Working alone, it takes Trevon eight hours
to pick forty bushels of apples. Brenda
can pick the same amount in 10.8 hours.
Find how long it would take them if they
worked together.
Answer
18.8 if they are picking 80 bushes and 9.4 if their
picking the forty bushes together
Step-by-step explanation:
When the Fed is concerned about inflation, it will likely do which of the following?
Answerj, C v v .
Step-by-step explanation:
What is the value of n in this equation?
7^6·7^3=7^n
Answer: n = 9
Step-by-step explanation:
first, we calculate the first equation.
7^9 = 7^n
then, we set the exponents as equal.
9 = n
then, we simply swap the sides.
n = 9
can someone explain what surface area means?
Answer:
The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Step-by-step explanation:
The total area of the surface of a three-dimensional object. Example: the surface area of a cube is the area of all 6 faces added together
Can someone help me ASAP please with all the odd numbers I would be very grateful.
5/6 + 3/4 + 2/3 pls
Answer:
2.25 i believe
Step-by-step explanation:
A number is chosen at random from 1 to 50. Find the probability of selecting factors of 36.
Answer:
1/50 2%
Step-by-step explanation:
1 divided by 50
Please help as soon as you can! Which of the following inequalities matches the graph?
(A) x> 4
(B) x< 4
(C) y > 4
(D) y < 4
Answer:
i believe the answer is B