Answer:
2 2/3 >x
Step-by-step explanation:
6>x+3 1/3
Subtract 3 1/3 from each side
6-3 1/3>x+3 1/3-3 1/3
Replace 6 with 5 3/3
5 3/3 - 3 1/3 > x
2 2/3 >x
find the area, in square feet, of a triangle whose base is 4/2/3 feet and whose altitude is 8 4/7 feet
Answer:
20
Step-by-step explanation:
Area of Triangle = 1/2b*h
Area of Triangle = 1/2*4 2/3*8 4/7
Area of Triangle = 20
is 14/15 bigger than 4/5
Answer:
Yes
Step-by-step explanation:
Multiply 4/5 so that they have a common denominator.
14/15 > 12/15 (4/5)
yes, 14/5 is larger than 4/5
PERFORM MULITIPLICATION FFAAAASSSSTTTTT!
(b–2)(b+2)(b^2+4)
two adjacent angles form a right angle. What type of angle pair do they form?
Answer:
complementary angles
Step-by-step explanation:
Adjacent angles form a right angle.
A right angle is 90 degrees.
Two angles that add to 90 degrees are complementary.
The adjacent angles are complementary
how many pairs of whole numbers add up to 99
Answer:
50 pairs
With the sum of 99, we will get 50 pairs whole numbers. Why? Therefore, if you're going to count all pairs of whole number, you will get 50 pairs of whole number with the sum of 99
A mixture calls for 1 cup of lemonade and 3 cups of iced tea how many total cups does the mixture have
Answer:
4
Step-by-step explanation:
Is a triangle with side lenghts 18, 12, and 22 a right triangle?
Answer: No
Step-by-step explanation:
Pythagorean Theorem goes with a right triangle, the formula is a^2+b^2=c^2.
Let's try this out with your values.
(18*18)+(12*12) = 468
If this is true than c^2 is 468
c^2 or (22*22) is 484 is this is not a right triangle.
Does the graph of the function y–x^2=9 intersect the following. If the answer is ‘yes’, determine the coordinates of the points of intersection the y axis
Answer:
The function intersects the y-axis at point (0.9) (vertex)
Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to
[tex]y=a(x-h)^{2}+k[/tex]
where
(h,k) is the vertex of the parabola
if a>0 then the parabola open upward (vertex is a minimum)
In this problem we have
[tex]y-x^2=9[/tex] -----> [tex]y=x^2+9[/tex]
This is a vertical parabola open upward
The vertex is the point (0,9)
The vertex is a minimum
see the attached figure to better understand the problem
The graph does not intersect the x-axis (the function has no real roots)
The function intersects the y-axis at point (0.9) (vertex)
PLZ HELP ASAP
!!!!!!
Answer:
m<A = 133
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
That means that m<A + m<C = 180.
m<A + m<C = 180
4x + 5 + x + 15 = 180
5x + 20 = 180
5x = 160
x = 32
m<A = 4x + 5
m<A = 4(32) + 5
m<A = 128 + 5
m<A = 133
What is the value of
Answer:
256/81
Step-by-step explanation:
The exact form is 256/81.
For this case we have that by definition of power properties:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
We have the following expression:
[tex](- \frac {3} {4}) ^ {- 4}[/tex]
We can rewrite it as:
[tex](- \frac {3} {4}) ^ {- 4} = \frac {1} {(- \frac {3} {4}) ^ {4}} = \frac {1} {\frac { 3 ^ 4} {4 ^ 4}} =[/tex]
Applying double c we have:
[tex] \frac {4 ^ 4} {3 ^ 4} = \frac {256} {81}[/tex]
Answer:
Option D
Find the lengths of AC and BD
Answer: AC = 15, BD = 7.2
Step-by-step explanation:
Use Pythagorean Theorem to solve for AC:
AB² + BC² = AC²
12² + 9² = AC²
144 + 81 = AC²
225 = AC²
√225 = √AC²
15 = AC
To solve for BD, set up a proportion using the the small side and hypotenuse of ΔABC and ΔADB.
[tex]\dfrac{s}{h}:\dfrac{9}{15}=\dfrac{BD}{12}[/tex]
[tex]\dfrac{9(12)}{15}=BD[/tex]
7.2 = BD
How many students watch less than 3 hours of tv a day
7 students watch less than 3 hours of tv a day.
Hope this helps.
You should just count the x's in slots 0, 1, and 2, so the answer should be 7 (or however many those 7 x's represents)
Use the distributive property to simplify the expression 8(5x-9)
Answer:
[tex]40x-72[/tex]
Step-by-step explanation:
we have
[tex]8(5x-9)[/tex]
Applying the distributive property
taking the outer term and multiplying it by each term inside the parenthesis
so
[tex]8(5x-9)=8*5x-8*9[/tex]
[tex]40x-72[/tex]
Answer:
[tex]8(5x - 9) = 40 x - 72[/tex]
Step-by-step explanation:
Let a, b, and c be any real number. Then
[tex]a(b + c) = ab + bc[/tex]
This is called the distributive property.
The given expression is
[tex]8(5x - 9)[/tex]
Or
[tex]8(5x + - 9)[/tex]
Let a=8, b=5x and c=-9
We apply the distributive property to obtain:
[tex]8(5x - 9) = 8 \times 5 x + 8 \times - 9[/tex]
We simplify to get:
[tex]8(5x - 9) = 40 x - 72[/tex]
the following represent the favorite color reported by young children at a birthday party. blue green red blue blue yellow red blue blue green blue. which of the following would be best to describe a typical value in th data set? the mean the median the mode
The mode would be best because it describes the color used most often.
Answer:
Mode because its the number shown most.
Step-by-step explanation:
Solve the system y = -x + 7 and y = 0.5(x - 3)^2
Answer:
[tex]x=-1;\ y=8\\x=5;\ y=2[/tex]
Step-by-step explanation:
You can make both equations equal and solve for the variable x, as you can see below:
[tex]-x+7=0.5(x-3)^2[/tex]
Keep on mind that:
[tex](a-b)^2=a^2-2ab+b^2[/tex]
Then:
[tex]-x+7=0.5(x-3)^2\\-x+7=0.5(x^2-2(x)(3)+3^2)\\-x+7=0.5x^{2}-3x+4.5\\0=0.5x^2-2x-2.5[/tex]
Apply the quadratic formula:
[tex]x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-2)+/-\sqrt{(-2)^2-4(0.5)(-2.5)}}{2(0.5)}\\x=-1\\x=5[/tex]
Substitute each value into one of the originl equations to find y, then:
[tex]y=-(-1)+7=8\\y=-5+7=2[/tex]
Answer:
The solutions are (-1,8) and (5,2).
Step-by-step explanation:
Help please! (seventh grade math)
Answer:
9
Step-by-step explanation:
If original rect was 5 square units and if new rect is 45 square units, then
scale factor = 45/5 = 9
Answer:
The scale factor is 3
Step-by-step explanation:
The area of rectangle N is 5 units
The area of rectangle P is 45 units
Distance is times the scale factor
Area is times the scale factor squared
Volume is the scale factor cubed
Area of rectangle N * scale factor squared = Area of rectangle P
5 * SF ^2 = 45
Divide each side by 5
5/5 * SF ^2 = 45/5
SF ^2 = 9
Now we need to take the square root of each side to find the scale factor
sqrt(SF ^2) = sqrt(9)
SF = 3
please help me question 1-4
The midsegment is half the length of the base.
1) 32 ÷ 2 = 16
So, 16 is the midsegment
2) 11 ÷ 2 = 5.5
So, 5.5 is the midsegment
3) 32 ÷ 2 = 16
So, 16 is the midsegment
4) 14 ÷ 2 = 7
So, 7 is the midsegment
Ms. Juarez earns the same amount each week as Ms. Franklin does However, Ms. Juarez only works 25 per week. How much does Ms. Juarez earn each hour. btw Ms. Franklin earns about 31,200 in a year
Answer:
he earns $24 a hour
Step-by-step explanation:
31,200 divide by 52 (that is how many weak's are in a year) = 600
600 divide by 24 = 24
:)
Ms. Juarez earns $24 per hour.
To determine how much Ms. Juarez earns each hour, we need to find her annual salary first.
Since Ms. Franklin earns $31,200 per year and Ms. Juarez earns the same amount annually, Ms. Juarez also earns $31,200 per year.
Next, we calculate the number of hours Ms. Juarez works in a year. She works 25 hours per week, and there are 52 weeks in a year:
Weekly hours x Number of weeks = Total yearly hours
25 hours/week x 52 weeks/year = 1,300 hours/year
To find her hourly wage, we divide her annual earnings by the number of hours she works in a year:
Annual salary / Total yearly hours = Hourly wage
$31,200 / 1,300 hours = $24 per hour
Therefore, Ms. Juarez earns $24 per hour.
Find the area of a circle with a circumference of 26pi feet
Answer:
169pi feet^2.
Step-by-step explanation:
The diameter = 26pi / pi = 26 feet and the radius = 13 feet.
The area = pi r^2 = 13^2 pi
= 169pi feet^2
The area of the circle should be [tex]169\pi feet^2.[/tex]
Given information:The circumference is 26 pi feet
Calculation of the area of a circle:Since the circumference is 26 pi feet
We know that
Circumference = [tex]2\pi r[/tex]
So,
[tex]26\pi = 2\pi r[/tex]
So radius be 13
Now the area should be
[tex]= \pi 13^2\\\\= 169\pi feet^2[/tex]
Learn more about the circle here: https://brainly.com/question/11508323
On a map, Clemonsville and Durant are 120 miles apart. How fast is a car traveling if it takes 3 hours to get from Clemonsville to Durant?
A. 30mph
B. 36 mph
C. 40 mph
D. 45 mph
Answer:
40 mph
Step-by-step explanation:
120/3=40
What is the value of n?
Enter your answer in the box.
Answer: 13
Step-by-step explanation:
you subtract 15 and 2 you will get 13
If you roll two fair six-sided dice, what is the probability that both dice show an odd number?
Answer:
1/4
Step-by-step explanation:
Both dice have odd numbers 1, 3, 5. The chances of getting an odd number on each number is 3/6
The probability of getting odd numbers on both is:
3/6 ⋅ 3/6 = 9/36 = 1/4
what is the area of the figure
First find out the ares of the square
10×10
100
Square Area = 100
Next, find the length of the sides of the triangle
16-10= 6
10-6= 4
Multiple the sides of the triangle a divide by two
6×4
24
24÷2
12
Add both the area of the square and triangle together
100+12
112
The area of the figure is 112
Answer:
Step-by-step explanation:
10x10=100in (Area of square )
(10-6)x6/2=12in (Area of triange )
100+12=112in
The sum of 10 and the quotient of a number X and six
Answer:
10+x/6
Step-by-step explanation:
4. What’s the answer to this question please
Answer:
The answer is D
(x=3, y=8)
Step-by-step explanation:
We want to reduce as many variable as we can so, we can obtain the value for the remaining variables.
Therefore, the first equation y=x+5 multiply it -2., you have -2y=-2x-10 and sum it to the second (2y-x=13), you will obtain the following: -x=13-2x-10.
You have x=3.
If you substitute x=3 in the first equation, you have y=8
pls help i really am confused :/
Answer:
x = 5
Step-by-step explanation:
x/40 = 7/56
Reduce the right fraction.
x/40 = 1/8
Now cross multiply.
8x = 40
Divide both sides by 8.
x = 5
Technician A says that the piston's most important function is to transfer the force produced by the burning air-and-fuel mixture into usable power. Technician B says that the piston size is used to help form a seal between the piston and the cylinder walls. Who is right?
A. Technician B only
B. Technician A only
C. Both Technicians A and B
Answer:
Option B.
Technician A only
Step-by-step explanation:
Since we are talking about the most important function of a piston, the technician A is correct.
A piston is used to transfer force from expanding gas in the cylinder to the crankshaft , in an engine.
In a pump, its purpose is compressing or ejecting the fluid in the cylinder.
Technician B is not correct, because piston rings are used for creating a seal between piston and cylinder walls.
Answer:
B. Technician A only
Step-by-step explanation:
PENN
A store ordered 28 boxes holding 12 banana muffins each and five boxes holding 6 blueberry muffins each. What was the total number of muffins the store ordered?
Answer:
366 muffins
Step-by-step explanation:
28 x 12 = 336
5 x 6 = 30
336 + 30= 366 muffins
The total number of muffins the store ordered is, 366
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A store ordered 28 boxes holding 12 banana muffins each and five boxes holding 6 blueberry muffins each.
Hence, Number of banana muffins is,
⇒ 28 x 12 = 336
And, Number of blueberry muffins is,
⇒ 5 x 6 = 30
Thus, The total number of muffins the store ordered is,
336 + 30 = 366 muffins
Learn more aboput the multiplication visit:
brainly.com/question/10873737
#SPJ3
A prism is completely filled with 1120 cubes that have Edge Length of 1/2 inc what is the volume of the prism
1,680 inches. This is the answer.
A is directly proportional to B when A =12 and B =3
A.)find a formula for A in terms of B
B.)find the value of A when B =5
C.)find the value of B when A =36
A) To find A in terms of B, we need to find A = xB. One given is A = 12 and B = 3. We substitute, which gives us 12 = x4. Divide both sides by 4, which gives us x = 3. This means that A = 3B.
B) For this, we can just plug in 5 as B in our equation. A = 3*5 -> A = 15.
C) We can plug in A as 36. 36 = 3B -> B = 12.
A.) The formula for A in terms of B is A = 4B. B.) When B = 5, A = 20. C.) When A = 36, B = 9.
Explanation:A.) To find the formula for A in terms of B, we can set up a proportion using the given values. Since A is directly proportional to B, we can write the proportion as A/B = k, where k is the constant of proportionality. Substituting the values A = 12 and B = 3, we have 12/3 = k. Solving for k, we find k = 4. Therefore, the formula for A in terms of B is A = 4B.
B.) To find the value of A when B = 5, we can substitute B = 5 into the formula A = 4B. A = 4(5) = 20.
C.) To find the value of B when A = 36, we can rearrange the formula A = 4B to solve for B. Dividing both sides by 4, we get B = A/4. Substituting A = 36, we have B = 36/4 = 9.
Learn more about Proportion here:https://brainly.com/question/28730073
#SPJ2