Answer: +
Step-by-step explanation:
you know x is a number less than 4. Select all the inequalities that must be true
The inequality is (3,∞) < x < 4.
What is an inequality?A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. [1] The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:
The symbol a b indicates that an is smaller than b.
When a > b is used, it indicates that an is bigger than b.
Given Data
x is a number less than 4
x<4
Numbers which are less than 4 are 3 to infinity
So,
The inequality is:
(3,∞) < x < 4
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The width of a rectangle measures (7r - 2s) centimeters, and its length measures
(r-5s) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?
The perimeter of the given rectangle is 16r-14s centimeters.
Let width be represented by=w
Let length be represented by=l
Let perimeter be represented by=p
Then,
l=(r-5s)centimeters (Given in the question)
while w=(7r-2s)centimeters (Given in the question)
The formula for the perimeter of a rectangle= 2(l+b)
where l is the length while b is the breadth of the rectangle.
On putting values in the equation:
p=2(l+b)
p=2(l+w)
p=2[(7r-2s)+(r-5s)]
on opening the bracket 2 is multiplied by both terms.
p=2(7r-2s)+2(r-5s)
p=(2x7r-2x2s)+(2xr-2x5s)
p=(14r-4s)+(2r-10s)
p=14r-4s+2r-10s
p=14r+2r-4s-10s
p=14r+2r-(4s+10s)
p=14r+2r-(14s)
p=16r-(14s)
Thus,
p=16r-14s centimeters
The perimeter of the given rectangle is 16r-14s centimeters.
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Jared bought 7 cans of paint. A can of red paint costs $3. 75. A can of red paint costs $2. 75. Jared spent $22 in all. How many cans of red and black paint did he buy?
Jared bought 7 cans of paint. Let the number of red paint cans that Jared bought be x. The number of black paint cans he bought would be 7 - x. A can of red paint costs $3.75 and a can of black paint costs $2.75.
He spent $22 in all. Therefore we can write:3.75x + 2.75(7 - x) = 22 Multiplying out the second term and collecting like terms gives:0.5x + 19.25 = 22Subtracting 19.25 from both sides:0.5x = 2.75Dividing by 0.5:x = 5.5Since Jared can't buy half a can of paint, we should round the answer to the nearest integer. Hence, he bought 5 cans of red paint and 2 cans of black paint. The total cost of the 5 cans of red paint would be 5 x $3.75 = $18.75.The total cost of the 2 cans of black paint would be 2 x $2.75 = $5.50.The total cost of all 7 cans of paint would be $18.75 + $5.50 = $24.25.We spent more than Jared's budget. The value of $24.25 exceeds Jared's budget of $22. Hence, there is a problem with this problem statement.
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Highest common factor of 30 and 75
Find the slope of the line of best fit shown below.
Answer:
the slope of the line is .5
Step-by-step explanation:
start at point a and rise 1 and run 2 to point d which makes the slope 1/2
(1,5) with a slope of -2
Answer:
y = -2x + 7 is the equation if that's what you are asking for.
answer:
Linear equation :
y= -2x +7
Step-by-step explanation:
Question 13 of 19
Which inequality is true?HELP
Answer:
its the first one I think
Order the following distances from least to greatest :2miles, 4,800ft, 4,400yd.explain
Step-by-step explanation:
To compare the distances of 2 miles, 4,800 feet, and 4,400 yards, we need to convert all the distances to the same unit. Let's choose feet as the common unit.
1 mile = 5,280 feet (by definition)
2 miles = 10,560 feet (since 2 miles x 5,280 feet/mile = 10,560 feet)
1 yard = 3 feet (by definition)
4,400 yards = 4,400 x 3 feet/yard = 13,200 feet
Now that we have all distances in feet, we can order them from least to greatest:
2 miles = 10,560 feet
4,400 yards = 13,200 feet
4,800 feet = 4,800 feet
Therefore, the order from least to greatest is: 4,800 feet, 2 miles, 4,400 yards.
Note that it is always important to keep track of the units when comparing or combining quantities.
Translate this phrase into an algebraic expression.
the quotient of 14 and a number
Answer:
Step-by-step explanation:
Let the number be x
14 ÷ x = \(\frac{14}{x}\)
Answer:
14 / x
Step-by-step explanation:
quotient = /
14 = 14
a number = the variable, let's call it x
Brainliest please!
Please help me its for my hw
Answer:
a) 144π cm²
b) 248π cm²
Step-by-step explanation:
Using the formula, curved surface area of a cone = πrl where r = radius and l = slant height,
Curved surface area of large cone = π (10) (12 + 3) = π (10)(15) = 150π
Curved surface area of small cone = π(2)(3) = 6π
a) Curved surface area of frustum = 150π - 6π = 144π cm²
b)
The frustum has a top surface which is a circle of radius 2 and a bottom surface which is also a circle of radius 10
The area of a circle is πr²
So Total area of both circles = π(2)² + π(10)² = 4π + 100π = 104π
Total surface area of frustrum = 144π + 104π = 248π cm²
Write the equation of the line that passes through the point (1,5) and has a slope of -2.
Answer:
y = -2x + 7
Step-by-step explanation:
to write the equation to this problem, we need to find the the y intercept, or the point where the line intersects the Y axis
a slope of -2 means that for every x unit in the positive x direction (right) two y units are moved in the negative Y direction (downward)
so if we subtract (go to the left) 1x that means we would also have to add (go up) 2y, which would leave us at the point (0,7)
now, an equation for a line is written as Y = MX + B
M = slope
B = y intercept
our slope, as we said before, is -2, and we found the Y intercept, 7, so now we can construct our equation
y = -2x + 7
Answer:
y= -2x + 7
Step-by-step explanation:
Hello i will give brainiest question is in photo :)
Answer:
A. 30 meters
Step-by-step explanation:
C=2πr
188=2πr
29.92 = r
≈ r
solve (2x-10)=(65-x) show your work plz!
Answer: x=25
Step-by-step explanation:
Simplifying
(2x + -10) = (65 + -1x)
Reorder the terms:
(-10 + 2x) = (65 + -1x)
Remove parenthesis around (-10 + 2x)
-10 + 2x = (65 + -1x)
Remove parenthesis around (65 + -1x)
-10 + 2x = 65 + -1x
Solving
-10 + 2x = 65 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-10 + 2x + x = 65 + -1x + x
Combine like terms: 2x + x = 3x
-10 + 3x = 65 + -1x + x
Combine like terms: -1x + x = 0
-10 + 3x = 65 + 0
-10 + 3x = 65
Add '10' to each side of the equation.
-10 + 10 + 3x = 65 + 10
Combine like terms: -10 + 10 = 0
0 + 3x = 65 + 10
3x = 65 + 10
Combine like terms: 65 + 10 = 75
3x = 75
Divide each side by '3'.
x = 25
Simplifying
x = 25
Sorry if its too confusing!
please fund the area
Answer:
48 sq m
Step-by-step explanation:
Given quadrilateral is a parallelogram.
Here,
Base = 8 m
Height = 6 m
Area of parallelogram = Base * Height
-> Area = 8 * 6 = 48 sq m
Tori examined the pattern of exponents in the table.
Powers of 6
Value
6 cubed
216
6 squared
36
6 Superscript 1
6
6 Superscript 0
1
6 Superscript negative 1
a
6 Superscript negative 2
b
Based on the pattern, which statements are true? Check all that apply.
The value of a is –6.
The value of b is StartFraction 1 Over 36 EndFraction.
As the exponents decrease, each previous value is divided by 6.
As the exponents increase, 6 is added to each previous value.
If the table was extended, the value of 6 Superscript negative 3 would be StartFraction 1 Over 216 EndFraction
Answer:
B,C,E
Step-by-step explantion
plz mark brainliest if correct
Answer:
The person above me is correct the answer is B.C.E Give them brainliest!
Proof
1
Find the indicated values for f(x) = -X.
-
a.
b.
f(0)
f(22)
f(-22)
C.
a.
f(0) =
=
Answer:
f(0) = 0
f(22) = 11
f(-22) = -11
Step-by-step explanation:
Substitute the values for x.
\(1.)~f(0)=1/2(0)=0\\\\2.)~f(22)=1/2(22)=11\\\\3.)~f(-22)=1/2(-22)=-11\)
3. Calculate the area of the rectangle. 8 ft 6 ft
answer:
48 square feet
calculate the value of m if the lines 3x-my=15 makes an angle of 45° with the line 3x+5y=7please help me to solve this?
To find angle between two lines, we use the formula,
\(\tan \theta=\frac{m_1-m_2}{1+m_1m_2}\)Where
θ is the angle between two lines
m1 is the slope of the first line
m2 is the slope of the second line
First Line Equation:
\(\begin{gathered} 3x-my=15 \\ my=3x-15 \\ y=\frac{3}{m}x-\frac{15}{m} \end{gathered}\)The slope is 3/m
Second Line Equation:
\(\begin{gathered} 3x+5y=7 \\ 5y=-3x+7 \\ y=-\frac{3}{5}x+\frac{7}{5} \end{gathered}\)The slope is -3/5
The angle between the two lines is 45°.
Let's substitute the known information into the formula and figure out the value of 'm':
\(undefined\)6oz cup of coffee cost 2$. if the price of coffee is a rate how much will a pint of coffee cost?
The pair of figures is similar. Find x. Round to the nearest tenth if necessary.
26 cm
19.1 cm
26.5 cm
12.2 cm
Answer:
a
Step-by-step explanation:
evaluate f (x) = -4x + 7 when x = 2 and x = -2
Answer:
- 1 and 15
Step-by-step explanation:
Substitute x = 2 and x = - 2 into f(x)
f(2) = - 4(2) + 7 = - 8 + 7 = - 1
f(- 2) = - 4(- 2) + 7 = 8 + 7 = 15
Please match the function with its graph
Guys I need help plz and can you show work also thx
Answer: first problem 3rd choice The graph shifts vertically up 5 units
11.) the y intercept is -5
19.) f(-8) = -18
last item third choice All real numbers such that are ≥ 0 and ≤ 40
Step-by-step explanation:
19.) f(x)=2(-8 -3) + 4
2 (-11) + 4
-22 + 4
f(-8) = -18
The cross section of a parabolic sound reflector at the Olympics has a diameter of 20 inches and is 25 inches deep. Write an equation that represents the cross section of the reflector with its vertex at ( ) 0, 0 and its focus to the left of the vertex.
Answer: 69
Step-by-step explanation: Sorry I do not know the answer because I am not smart. I just need the points so I can answer more questions. Have a great day though and I wish you luck with your question:)
can someone help i dont understand this
p(n)=2n; find p(-1)
The solution for p(-2) in the function when the function p(n) = 2n is -2
How to determine the solution for p(-1) in the function?From the question, we have the following equation that can be used in our computation:
p(n)=2n
To make the equation legible, we need to rewrite it
So, we have the following representation
p(n) = 2n
Also from the question, we have
p(-1)
This means that the value of n is -1, and we calculate p(n) when n = -1
Substitute the known values in the above equation, so, we have the following representation
p(-1) = 2 * -1
So, we have the following equation
p(-1) = 2 * -1
There is no constant to add or subtract to both sides of the equation
So, we have the following representation
p(-1) = -2
Hence, the solution is -2
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Can anyone help me with this?
Answer:
x = 42 degrees
y = 37 degrees
Step-by-step explanation:
Those are right angle triangles. So you know the right angles are 90 degrees, and each triangle gives you the measurement of another angle.
So, take the triangle in the top left (x):
180 - 90 - 48 = x
Same with the other triangle (y)
180 - 90 - 53 = y
Please help!!!!!!!!!!
the values of the vertically opposite angles ∠ RTS and ∠ PTQ will be 40° and ∠ PTR will be 140°.
We are given the value of two vertically opposite angles as:
∠ PTQ = x + 28
∠ RTS = 2 x + 16
We need to find the value of both the angles.
So, we get that:
x + 28 = 2 x + 16
2 x - x = 28 - 16
x = 12
Substituting it to find the values of the angles:
∠ PTQ = x + 28
∠ PTQ = 12 + 28
∠ PTQ = 40°
∠ RTS = 2 x + 16
∠ RTS = 2 (12) + 16
∠ RTS = 24 + 16
∠ RTS = 40°
∠ PTR = 180 - 40 = 140°
Therefore, the values of the vertically opposite angles ∠ RTS and ∠ PTQ will be 40° and ∠ PTR will be 140°.
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Consider the equation 2x +11=3. Without solving the equation, explain why its solution
cannot be a positive number. Hint: consider the expression on the left side of the equation.
because if you collect like-terms and then divide both sides by the first number (2) the answer would not be positive
Select the correct answer.
What is the product of (x - 3) and (x + 7)?
\( {x}^{2} + 10x - 21\)
\( {x}^{2} + 4x - 21\)
\( {x}^{2} - 4x - 21\)
\( {x}^{2} - 10x - 21\)
Expanding parentheses,
➝ (x - 3)(x + 7)
➝ x(x + 7) - 3(x + 7)
➝ x² + 7x - 3x - 21
➝ x² + 4x - 21
Option B
Explore more:-Expanding brackets involves removing the brackets by multiplying each term in the brackets by every term outside of the brackets. The process of expansion is also known as the distributive law. When expanding brackets be very careful of negative numbers.
Once a set of brackets has been expanded, it is possible for several like terms to appear.
When this is the case you can use the box method or FOIL to ensure you expand the set of brackets properly. In general:
\( \large{ \boxed{ \rm{(a + b)(c + d) = ac + ad + bc + bd}}}\)
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Jason is solving a homework problem.
Arianna buys 6 boxes of granola bars. Each box contains 11 granola bars. Arianna eats 8 bars.
Jason writes a numerical expression to represent the situation. His expression, (11 − 8) × 6, has a mistake.
Complete the explanation of Jason's mistake.
Jason subtracted 8 from 11 when he should have multiplied 11 ×
and then subtracted 8 from this amount.
Enter an expression to show how many granola bars are left, and then solve it.
(11 ×
) − 8 =
− 8 =
Answer: (11x6) -8
Step-by-step explanation: Since there are 11 bars in each of 6 boxes, there is 66 bars, since she eats 8 there a 5re8 granola bars left, so the actual expression would be (11x6) - 8.
Hope this helps! :)