Answer:
5x +3y>-15
5(0)+3(0)
0+0= 0 > -15
Step by step explanation
We have to create a scenario that leads to an inequality of the form ax + b > c.
Word problem: A family went to an park. Entry fee of the park for a family is $20 and the cost of a ride is $10 per person. The family spent more than $100 on that ride.
The required inequality is
Subtract 20 from both sides.
Divide both sides by 10.
It means the number of rides must be greater than 8.
Simplify the fraction 35/21 in simplest form
Answer:
5/3
Step-by-step explanation:
35 and 21 could be divided by a factor of 7.
35 ÷ 7 = 5
21 ÷ 7 = 3
So,
35/21 = 5/3
Answer:
5/3
Step-by-step explanation:
35 divided by 7 is 5
21 divided by 7 is 3
Thus 35/21 in simplest form is 5/3
Please help with this
Answer:
Step-by-step explanation:
Answer A is correct. Note that (6/5)(35) = 42 (side DG).
Rewrite in simplest radical form x 5/6 x 1/6
Answer:
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}[/tex]
Step-by-step explanation:
Given
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}}[/tex]
Required
Rewrite in simplest radical form
Using laws of indices:
[tex]a^m/a^n = a^{m-n}[/tex]
This implies that
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5}{6} - \frac{1}{6}}[/tex]
Solve Exponents
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5 - 1}{6} }[/tex]
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{4}{6} }[/tex]
Simplify exponent to lowest fraction
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{2}{3} }[/tex]
Using laws of indices:
[tex]a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]
This implies that
[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}[/tex]
This is as far as the expression can be simplified
I need help with this plz...Thanks
Answer:
Step-by-step explanation:
You graph it
Write as an equation: 1/3 of a shipment of books weights 28 pounds.
A. f - 1/3 = 28
B. 3/f = 28
c. 1/3 + f = 28
D. f/3 = 28
Answer:
Option D
Step-by-step explanation:
A third of a shipment of books is 28 pounds. Assuming that 'f' will be the total weight of the entire shipment, we would divide 'f' by 3 to get 28.
The answer should be D.
Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k
2
-2
1/2
-1/2
Answer:
Step-by-step explanation:
Using the graph we can notice something
let's take the abscissa -2 and -4
the ordinate that goes with -2 using g is 0the ordinate that goes with -4 using f is 0so we can say that :
f(-4)=g(-2)
wait we khow that g(x)=f(k*x)
so x= -2 then let's replace it in the expression : f(k*x)
we get f(-4)=g(-2)=f[k*(-2)]
let's solve the equation: -2k = -4
k = -4/-2
k=2
so finally we get k=2
let's check :
from the graph we get :
f(-2)=2 g(-1)=2we have (-1)*2 = -2
so it is true
Anna enjoys dinner at a restaurant in Washington D.C, where the sales tax on meals is 10%. She leaves a 15% tip on the price of her meal before the sales tax is added, and the tax calculated is on the pre-tip. She spends a total $27.50 for dinner. What is the cost of her dinner without tax or tip?
Answer: $20.62
Step-by-step explanation:
Ok so she spent 27.50 and the tax was 10% and the tip was 15%
10% of 27.50=0.1*27.50=2.75
15% of 27.50=0.15*27.50=4.125=4.13 (rounded to the nearest cent)
So the question is asking about without the tax (2.75) or the tip (4.13) so you have to subtract the tax and tip from the total cost (27.50)
27.50-2.75-4.13=20.62
The cost of her dinner without tax or tip is 20.62
Answer:$20.62 would be the price
Step-by-step explanation:
The ratio of roosters to chickens is 2 to 8. If there are 5 roosters, how many chickens are there? Complete the ratio table to solve.
Answer:
20 chickens
Step-by-step explanation:
2/8= 5/x
2 times 2.5 is 5, 8 times 2.5 is 20 the ratio is true if we write this:
2/8=5/20
Therefore, with 5 roosters, there are 20 chickens.
Find the solutions to x2 = 24.
O A. x = 164
O
B. X =
+4v6
O C. x = +62
O D. x = +276
Answer:
x = ± 2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Given
x² = 24 ( take the square root of both sides )
x = ± [tex]\sqrt{24}[/tex] = ± [tex]\sqrt{4(6)}[/tex] = ± [tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] = ± 2[tex]\sqrt{6}[/tex]
PLEASE HELP 20 points!!! Which of these is a ratio table? A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 5, 6, 7. A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 4, 5, 7. A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 1, 4, 9. A 2-column table has 3 rows. Column 1 is labeled A with entries 1, 2, 3. Column 2 is labeled B with entries 2, 4, 6.
Answer:
b
Step-by-step explanation:
Answer:
isnt it D?
Step-by-step explanation:
the two numbers are constantly the same ratio so its that right?
Is 15/3=v/7 a true proporation?
Answer:
15/3 = v/7 can be a true proportion.
Step-by-step explanation:
v is a variable, which means that technically any number can be put inside.
In this case, however, when you are solving for v, the numerator must be proportional to the denominator.
In the case of the question, the questioner multiplied ~2.33 to the denominator. Do the same to the numerator:
15 x 2.33 = ~34.95
If the variable v is ~34.95, then it is a true proportion.
Which relation is a function of x?
Answer:
The last choice, the graph.
Step-by-step explanation:
The 4 relations are:
A.
A set of ordered pairs.
This is not a function because 2 ordered pairs have the same x-coordinate, 1.
B.
Table.
All ordered pairs have 0 as the x-coordinate. Since the same x-coordinate appears more than once, it is not a function.
C.
x = 3y^2 - 7
This is a function of y, and it is a horizontal parabola, so it does not pass the vertical line test. It is not a function.
D.
The graph.
This is a function because it passes the vertical line test.
Answer: The last choice, the graph.
Answer: D the graph ! ;)))))
I hope you all get good grades !
Step-by-step explanation:
Plz mark brain list!
In 1787, if an enslaved African was considered 3/5th of a person for representation in Congress,how many enslaved Africans would have been considered equivalent to 6 white Americans?
Answer:
10
Step-by-step explanation:
3/5 is 0.6 and 10 time 0.6 is 6.
hope this helps
Help Please I'm Out Of Time ;(
Is it true that every whole number is a solution of x > 0?
Use complete sentences to explain your reasoning.
Answer:No, every whole number is not a solution of x > 0 because the whole numbers include 0. The solution set of x > 0 does not include 0. So, 0, which is a whole number, is not a solution of x > 0.
Step-by-step explanation:
No, Is it not true that every whole number is a solution of x > 0.
What is mean by Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
To check, Is it true that every whole number is a solution of x > 0.
Now, We know that;
Every whole number is a solution of x ≥ 0.
That is, Zero is include in the whole numbers.
Therefore, Is it not true that every whole number is a solution of x > 0.
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Can you find the missing segment to the triangle in the image attached
Answer:
missing segment= 25
the answer and how to do the problem in paper
1
Given f(x) = V7x
V7x and g(x) =
х
Which value is in the domain of fºg?
8
Answer:
f(x) = √7x
g(x) = 1/x -8
To find the domain of f º g we must first find f o g(x)
To find f o g(x) wherever you see x in f(x) replace it by g(x)
That's
f o g = √7(1/x-8)
= √7 / √x - 8
To find the domain equate the denominator to zero
That's
√x - 8 = 0
Square both sides
(√x - 8)² = 0²
x - 8 = 0
x = 8
The domain of f o g is x E R except 8
Hope this helps
Imagine that this graph represents the distance Brianna travels to get to her babysitting job with respect to time. Describe a relation that the graph may represent.
Answer:
The distance time graph shows the velocity with which Brianna traveled.
From t= 0 to t = 6:
For every 2 minutes, distance increase by one miles. She covers 3 miles in 6 minutes.
So the velocity is given by:
velocity = change of distance/ change of time
velocity = 3/6
velocity = 0.5 miles/minutes
From t=6 to t=10
As there is no change in distance, the velocity of the object is 0, it means Brianna is stationary from t=6 to t=10
From t=10 to t=16
Distance covered = 7 miles - 3 miles = 4 miles
Time taken = 16 - 10 = 6 minutes
Velocity = 0.67 miles/minutes
Answer:Brianna left home and drove 3 miles in 6 minutes. She then stopped for 4 minutes to pick up coffee. Finally, she traveled the last 4 miles in 6 minutes to arrive at her babysitting job.
Choose two of the angles on ∆ABC, and locate the line segment between them. Draw a new line segment,DE , parallel to the line segment you located on ∆ABC. You can draw of any length and place it anywhere on the coordinate plane, but not on top of ∆ABC. From points D and E, create an angle of the same size as the angles you chose on ∆ABC. Then draw a ray from D and a ray from E through the angles such that the rays intersect. You should now have two angles that are congruent to the angles you chose on ∆ABC. Label the point of intersection of the two rays F, and draw ∆DEF by creating a polygon through points D, E, and F.
Answer:
The two triangles are attached below.
Step-by-step explanation:
Let the ∆ABC be an isosceles right angled triangle.
The two angles will be 45° each.
The triangle ABC is attached below.
Now construct the triangle DEF according to the given instructions.
The two triangles are attached below.
In the spinner below, what is true about the probability of landing on 1 and the probability of landing on 6?
Answer:
1/6 for 1 and 1/6 for 6
Step-by-step explanation:
Answer: the possibility are equal
Step-by-step explanation:
A p e x
If m∠ABC = 45° and m∠ECD = 45°, which statement explains whether the AA similarity postulate can be used to determine whether ΔBAC ~ ΔEDC? answers: Yes, the AA similarity postulate can be used because a reflection over line f will establish that segment AB ≅ segment DE. Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC. No, the AA similarity postulate cannot be used because a reflection over line f will establish that segment AB and segment DE are not congruent. No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
please answer ASAP please i need HELP ASAP thank you
Answer:
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
Step-by-step explanation:
Data provided in the question
m∠ABC = 45°
m∠ECD = 45°
Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options
As we can see that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent
Therefore the last option is correct
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent. Therefore the option D is correct.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Data given in the question
m∠ABC = 45°
m∠ECD = 45°
Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options one by one.
As we can conclude that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent.
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
Therefore the option D is correct.
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Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7,2), and is parallel to the graph of x + 3y = -5.
Answer:
B - A = 2
Step-by-step explanation:
Recall that parallel lines have the same slope. Thus, line Ax + By = 3, parallel to x + 3y = -5, has the form x + 3y = C. This latter line passes through the point (-7, 2), and so -7 + 3(2) = C must be true. Then -7 + 6 = C, and C = -1.
In both equations A = 1 and B = 3. Thus, B - A = 3 - 1, or B - A = 2
Which expression gives the distance between the points
(1,-2) and (2, 4)?
A. (1+2) +(2-4)
O B. (1-2)2+(-2 - 4)
C. (1+2) +(2-4)
O D. (1-2) +(-2-4)
SUBMIT
option B gives the distance between the points.
Answer:
Option B
Step-by-step explanation:
The coordinates are (1,-2) and (2,4)
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(1-2)^2+(-2-4)^2}[/tex]
The ratio of men to women working for a company is 3 to 4. If there are 112 employees total, how many work for the company
Answer:
112
Since you stated 112 employees work for the company, and your question was how many work for the company, it is definetly
112.
Answer:112
Step-by-step explanation:
I ain’t making no explanation I’m just giving answers
Using addition rules, show how to add the two real numbers. 7 +(-14)
7 + (-14).
Because the second number is a negative number, the addition sign is replaced by the negative sign of the number, so the equation becomes:
7 - 14
The answer would be -7
Help ???
The table and scatter plot shows the time spent studying...
Answer:
Time spent in Observed Predicted Residual
studying (x) midterm score midterm score
12 70 60.5 9.5
18 75 83.34 -8.34
Step-by-step explanation:
Given, The equation of the line of best fit: [tex]y=3.8x+14.94[/tex] (which gives the predicted score.)
Time spent in studying of 12 hours i.e. at x=12, observed y= 70
Predicted y = [tex]3.8(12)+14.94=60.5[/tex]
Residual =Observed y - predicted y
= 70-60.5
= 9.5
Time spent in studying of 18 hours i.e. at x=18, observed y= 75
Predicted y = [tex]3.8(18)+14.94=83.34[/tex]
Residual = Observed y - predicted y
= 75-83.34
= -8.34
Time spent in Observed Predicted Residual
studying (x) midterm score midterm score
12 70 60.5 9.5
18 75 83.34 -8.34
Two large numbers of the fibonacci sequence are F(50) = 12,586,269,025 and F(51) = 20,365,011,074. If these two numbers are added together, what number results? A. F(52) B. F (101) C. F(53) D. F(49)
Answer:
B. F(52)
Step-by-step explanation:
In the Fibonacci sequence, each term is found by adding the previous two terms together. This means that f(3) = f(2)+f(1), f(4) = f(3)+f(2), etc.
If we add f(50)+f(51), this would give us f(52).
Answer:
B
Step-by-step explanation:
B is the answer
Find x value for the point that splits segment CD in half if point C is located at (−2, 4) and point D is located at (3, 7). (5 points) 5.5 5 0.5 3
Answer:
0.5
Step-by-step explanation:
To find the midpoint, add the x values and y values respectively. Then divide the results by 2. So, the midpoint of CD will be (0.5,5.5). The x value is 0.5.
Hey there! :)
Answer:
0.5.
Step-by-step explanation:
Use the midpoint formula to solve for the coordinates:
midpoint = [tex]({\frac{x_{1}+x_{2}}{2} },{\frac{y_{1}+y_{2}}{2} } )[/tex]
Plug in the points for C and D:
[tex]({\frac{-2+3}{2} },{\frac{4+7}{2} } )[/tex]
Simplify:
[tex]({\frac{1}{2} },{\frac{11}{2} } )[/tex] These are the coordinates for the midpoint.
The x-value of the coordinate is 1/2, or 0.5.
What is the least common denominator of
Answer:
first answer is correct
Step-by-step explanation:
hello
as we can write
[tex]x^2-1=(x-1)(x+1)\\[/tex]
the least common denominator is
x(x-1)(x+1)
hope this helps
Answer:
x + 1
x - 1
x
Step-by-step explanation:
The denominators are as follows.
(x - 1)
x^2 - 1
x
=====
The second denominator is actually made of two factors.
x^2 - 1 =(x + 1)(x - 1)
So the least common denominator is
x + 1
x - 1
x
You do not count the x - 1 twice.
Which description of the graph of the linear inequality y ≥ 7x – 4 is correct? The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line. The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line. The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line. The graph will be a dashed line with a y-intercept of seven and a slope of negative four. The graph will be shaded above the line.
Answer:
The correct option is B
B) The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
Step-by-step explanation:
The given equation is
y ≥ 7x - 4
Consider only the equality sign:
y = 7x-4
or
y = 7x + (-4)
The general form of any linear equation is given by:
y = mx + c
By comparing, we can see that:
m = slope = 7
Secondly consider the equation
y ≥ 7x - 4
We know that generally for the signs "equal to and greater/smaller than", we use a solid line, and for the signs "greater/smaller than", we use a dashed line.
Hence, to graph this equation we'll use a solid line.
Thirdly, find y intercept by putting x=0
y = 7(0) - 4
y = -4
The correct option is B
Correct description of the given inequality will be, A solid line with y-intercept (-4) and slope 7. The graph will be shaded above the line.
Slope form of the line is given by equation,
y = mx + b
Where 'm' = Slope of the line
b = y-intercept
For a line having equation,
y = 7x - 4
Slope = 7
y-intercept = -4
If the line is an inequality, properties of the inequality will be defined by,
If the line is having a sign equal to (=), graph of the line will be a solid line.If the solid line has a sign of greater than (>), solution set (shaded region) of the inequality will be above the line.If the line has a sign of less than (<), solution set of the inequality will be below the line.By these properties,
inequality y ≥ 7x - 4 will show,
A solid line with slope 7 and y-intercept as (-4).Shaded area will be above the solid line.Therefore, the graph will be a solid line with y-intercept (-4) and slope 7. The graph will be shaded above the line.
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Work out the length of RS.
Give your answer to 3 significant figures.
S
R
-5
-4
-B
- 2
2
-40
+
3
4
5 x
+
-2-
Answer:
5.83 units
Step-by-step explanation:
Given is a right angled triangle.
Length of base = 2 - (-3) = 2+ 3 = 5 units
Height = 4 - 1 = 3 units
By Pythagorean theorem:
[tex]RS = \sqrt{ {5}^{2} + {3}^{2} } \\ = \sqrt{25 + 9} \\ = \sqrt{34} \\ = 5.83095189 \\ = 5.83\: units[/tex]