If you have 2 pieces of spaghetti that have lengths 4 cm and 10 cm, what could be the possible length of a third piece of spaghetti to complete the triangle? cm < x < cm
Answer:
6 < third side < 14
Third side must be greater than 6 and less than 14
Step-by-step explanation:
A triangle can be formed from 2 sides of any length.
The third side must be longer than the difference of the other 2 sides and
the third side must be less than the sum of the other 2 sides.
(if this question is from k12 lesson check)
True or False: The Commutative Property of Addition states that for all expressions a and b , ab = ba.
According to the Commutative Property of Addition, ab = ba for all expressions a and b: FALSE
What is the Commutative Property of Addition?According to the commutative property of addition, altering the order of addends has no impact on the sum. Here's an illustration: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4. The addition and multiplication arithmetic operations are covered by the commutative property. This implies that the outcome of adding or multiplying two numbers remains unchanged if the order or position of the numbers is changed. For instance, 4 + 5 equals 9, and 5 + 4 equals 9.According to the Commutative Property of Addition, rearranging the addends has no impact on the sum.
a+b=b+aTherefore, the statement "according to the Commutative Property of Addition, ab = ba for all expressions a and b" is FALSE
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Find the value of x.
(8x+19)(9x+9)
Please give step by step
SOLUTION STEPS
(8x+19)(9x+9)
Apply the distributive property by multiplying each term of 8x+19 by each term of 9x+9.
72x 2 +72x+171x+171
Combine 72x and 171x to get 243x.
72x 2 +243x+171
hopefully my weird explanation helped
Select two ratios that are equivalent to 2:9
Choose 2 correct answers
Answer:
4:18 and 6:27
Step-by-step explanation:
NEED HELP! GIVING BRAINLIEST!
WILL MARK BRAINLIEST!!
Answer:
only p(x)
Step-by-step explanation:
The others have a restricter domain
given the function f(x)= 3^ - 2 what is the value of f (3)
What is the distance between the points (2, 1) and (14, 6) on a coordinate
plane?
9514 1404 393
Answer:
13 units
Step-by-step explanation:
The distance is found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((14 -2)² +(6 -1)²) = √(144 +25) = 13
The distance between the two points is 13 units.
find the factorization of the polynomial below 49x2+70+25
Answer:
(7x + 5) (7x+5)
Step-by-step explanation:
Hope this helps
A flagpole casts a shadow that is 24 ft long at the same time you cast a shadow that is
4.5 ft long. If you are 6 ft tall, how tall is the flagpole?
Answer:
32 ft tall
Step-by-step explanation:
24 divided by 4.5 is 5.3 repeating. 6 times 5.3 is around 32
Find X HELP ME please!!
Answer:
The answer is A) 3 Hope this helped
x
y
-3
6
-1
4.
0
3
1
3
3
4
3
6
Conic section
For questions 10 - 11, solve each system. In your work, identify the shape of the graph of each
equation. (5 points each)
(7y2 + x2 = 64
10.
x+y = 4
Answer:
Step-by-step explanation:
7[tex]y^{2}[/tex]+[tex]x^{2}[/tex]=64x+y=4First, we isolate the variable on the second equation so that we can have an x solution to plug in:
x=-y+4Now, we plug this in to the first equation:
[tex]7(-y+4)^{2} +(-y+4)^{2} =64[/tex]
We can now put the 7 into the parentheses and then square root the equation:
[tex]\sqrt{(-7y+28)^{2}} +\sqrt{(-y+4)^{2}} =\sqrt{64}\\-7y+28-y+4=8\\-8y=40\\y=-40[/tex]
We then plug this in to the original equation to find x
[tex]x+-40=4\\x=-36[/tex]
This means y=-40 and x=-36. I believe that's what you were asking. Let me know if it is something else
Jace and his children went into a bakery and he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. He bought twice as many cookies as brownies. Graphically solve a system of equations in order to determine the number of cookies, x,x, and the number of brownies, y,y, that Jace bought.
Answer:
(9, 18) (3, 6) Plz correct me if wrong
Step-by-step explanation:
Jace bought 4 cookies and 2 brownies from the bakery.
Let x represent the number of cookies and y represent the number of brownies.
Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:
0.75x + 3y = 9 (1)
Also, he bought twice as many cookies as brownies, hence:
x = 2y
x - 2y = 0 (2)
Solving equation 1 and 2 simultaneously gives x = 4, y = 2
Hence Jace bought 4 cookies and 2 brownies from the bakery.
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Ms. Hartt burns 300 calories when she runs for 1 hour. If Ms. Hartt runs 5 hours in a week how many calories would she burn?
Solve the equation Only enter the amount. Round to the nearest cent. Twenty tickets cost 182.50 What is the average cost of each ticket?
Answer:
$9.13
Step-by-step explanation:
Please answer ASAP I have 15 min help
Answer:
32
Step-by-step explanation:
she was supposed to divide and multiply first and then add those answers
6+6+20=32
Marion and Stefan played a game called "Go." Marion won five times the difference between the number of games Stefan won and the number four. If Marion won fifteen games, then how many games did Stefan win?
Answer:
1 game
15/5=3
4-3=1
Hope it helps
please follow me
Using a system of equations, it is found that Stefan won 7 games.
In our system, we have that:
x is the number of games Marion won.y is the number of games Stefan won.Marion won five times the difference between the number of games Stefan won and the number four, hence:
[tex]x = 5(y - 4)[/tex]
Marion won 15 games, hence [tex]x = 15[/tex], and:
[tex]15 = 5(y - 4)[/tex]
[tex]y - 4 = 3[/tex]
[tex]y = 7[/tex]
Stefan won 7 games.
A similar problem is given at https://brainly.com/question/19314231
Larry ordered 5 1/2 subs. He wants to share the subs with 4 friends and himself. Larry thinks they will each
receive 1 1/4 subs. Is Larry correct? Why or why not?
Jana ran the first 312 miles of a 5-mile race in 13 hours. What was her average rate, in miles per hour, for this first part of the race? Explain how you solved the problem.
Answer:
speed = distance / time
Jana's speed is
speed = (3.5 mi)/(1/3 h) = 3*3.5 mi/h = 10.5 mi/h
Bart read 3,432 pages of books last year! That's 1,544 fewer pages than he read the year before. How many pages did Bart read in the two years combined?
Answer:
5,320 pages
Step-by-step explanation:
Last year: 3,432 pages
Last year: 3,432-1,544= 1,888
3,432+1,888= 5,320
Question 2
1 pts
Seven friends compared vacation plans. All are planning to drive to their destinations.
Find the median distance for the seven travelers.
Distance in
Friend
km
1
435
2
158
3
254
450
4
5
192
219
6
7
457
192 km
A deposit of $225 as an integer
Answer:
225
Step-by-step explanation:
A deposit is positive, so a deposit of $225 as an integer (number) would be 225I hope this helps!
While printing material from the Internet, Greg used 10 pages of paper from a package of 500 sheets of paper. What percent of the paper did he use?
Answer:
2%
Step-by-step explanation:
The percentage of paper used is 2%
Please explain the relationship between a hypothesis and an experiment.
Answer:
A hypothesis is "is a suggested solution for an unexplained occurrence that does not fit into current accepted scientific theory. The basic idea of a hypothesis is that there is no pre-determined outcome.". And an experiment is "is defined as to try out something new or to test a theory. An example of experiment is when you try out a new hair style. An example of experiment is when you use test tubes and chemicals in a lab to complete a project and to try to better understand chemical reactions.".
A transformation is given by the rule (x,y) → (x +3, y - 8). Which of the following describes the effect of this transformation on an object
A a translation by 8 units left and 3 units up
B a rotation by 90 counterclockwise about the origin
C a translation by 3 units right and 8 units down
D a reflection across the line 2 = 3
Answer:
3
Step-by-step explanation:
Answer:
C a translation by 3 units right and 8 units down
Step-by-step explanation: This answers the Unit 3 summative assessment N-gen Math
three orders are placed at a pizza shop.
two small pizzas, a liter of soda, and a salad costs $14.
one small pizza, a liter of soda, and three salads costs $15.
three small pizzas, a liter of soda, and two salads costs $22.
how much does each item cost?
Given:
Two small pizzas, a liter of soda, and a salad costs $14.
One small pizza, a liter of soda, and three salads costs $15.
Three small pizzas, a liter of soda, and two salads costs $22.
To find:
The cost of each item.
Solution:
Let x be the cost of a small pizza.
y be the cost of a liter of soda
z be the cost of a salad.
According to the question, two small pizzas, a liter of soda, and a salad costs $14.
[tex]2x+y+z=14[/tex] ...(i)
One small pizza, a liter of soda, and three salads costs $15.
[tex]x+y+3z=15[/tex] ...(ii)
Three small pizzas, a liter of soda, and two salads costs $22.
[tex]3x+y+2z=22[/tex] ...(iii)
From (i), we get
[tex]z=14-2x-y[/tex] ...(iv)
Putting [tex]z=14-2x-y[/tex] in (ii), we get
[tex]x+y+3(14-2x-y)=15[/tex]
[tex]x+y+42-6x-3y=15[/tex]
[tex]-5x-2y=15-42[/tex]
[tex]-(5x+2y)=-27[/tex]
[tex]5x+2y=27[/tex] ...(v)
Putting [tex]z=14-2x-y[/tex] in (iii), we get
[tex]3x+y+2(14-2x-y)=22[/tex]
[tex]3x+y+28-4x-2y=22[/tex]
[tex]-x-y=22-28[/tex]
[tex]-(x+y)=-6[/tex]
[tex]x+y=6[/tex]
Multiply both sides by 2.
[tex]2x+2y=12[/tex] ..(vi)
Subtracting (vi) from (v), we get
[tex]5x+2y-2x-2y=27-12[/tex]
[tex]3x=15[/tex]
[tex]x=5[/tex]
Putting x=5 in (vi), we get
[tex]2(5)+2y=12[/tex]
[tex]10+2y=12[/tex]
[tex]2y=12-10[/tex]
[tex]2y=2[/tex]
[tex]y=1[/tex]
Putting x=5 and y=1 in (iv), we get
[tex]z=14-2(5)-(1)[/tex]
[tex]z=14-10-1[/tex]
[tex]z=3[/tex]
So, [tex]x=5,y=1,z=3[/tex].
Therefore, the cost of a pizza is $5, cost of a liter of soda is $1 and cost of salad is $3.
Solve the following system of equations. x + y + 8z = 16
2x + 7z = 19
4x - 4y + 4z = 4
a. x = 1,y = 2,z = 2
b. x= 2,y = 2,z = 1
c. x = 6,y = 2,z = 1
d. x = 13,y = 11,z = -1
By substitution, we will see that the solution of the system is:
x = 13, y = 11, z = -1
The correct option is D.
How to solve the system of equations?
Here we have a system of 3 equations:
x + y + 8z = 16
2x + 7z = 19
4x - 4y + 4z = 4
I will solve it by substitution, first, let's simplify the equations. Here we can divide the third equation by 4 so we remove all the common factors, then the system becomes:
x + y + 8z = 16
2x + 7z = 19
x - y + z = 1
Now, I will isolate x on the second equation:
x = (19 - 7z)/2 = (19/2) - (7/2)*z = 9.5 - 3.5*z
Now we can replace that on the other two equations:
(9.5 - 3.5*z) + y + 8z = 16
(9.5 - 3.5*z) - y + z = 1
Rewriting the system we get:
y + 4.5z = 6.5
-y - 2.5z = -8.5
Now we can isolate y on the first equation:
y = 6.5 - 4.5z
Replacing that on the other equation we get:
-( 6.5 - 4.5z) - 2.5z = -8.5
-6.5 + 4.5z - 2.5z = -8.5
2z = -8.5 + 6.5 = -2
z = -2/2 = -1
Then the value of y is:
y = 6.5 - 4.5z = 6.5 - 4.5*(-1) = 11
And the value of x is:
x = 9.5 - 3.5*z = 9.5 - 3.5*(-1) = 13
So the solution of the system is:
x = 13, y = 11, z = -1
The correct option is D.
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Find the volume of this right rectangular prism. [Type your answer as a number.]
Answer:
200m
Step-by-step explanation:
To find volume you multiply each side, length, width, and height. 5 times 4 is 20, and 20 times 10 is 200
1/2^-2 2^-3 -4^5
What is the value of
for x = 2 and y=-4?
value of x=2 is-8 and y=-4 is -1024