Answers
Answer:
138
Step-by-step explanation:
Related Questions
Vance wants to determine if an old photo frame is still rectangular. The height of the frame is
8 inches, the base is 6 inches and the diagonal is 10 inches long. Is the old photo frame still
rectangular? How do you know?
Answers
Answer:
The old photo frame is still rectangular
Step-by-step explanation:
Rectangles
The rectangle shape can be identified because it has 4 internal angles of 90° each. The diagonal forms with two adjacent sides a right triangle where the Pythagora's Theorem must stand. Being a and b the length of the sides of the rectangle and d the diagonal, then:
[tex]d^2=a^2+b^2[/tex]
Vince's photo frame has dimensions of 8 inches and 6 inches, with a diagonal of 10 inches. If the above condition is met, then the frame is still rectangular.
Calculating:
[tex]10^2=6^2+8^2[/tex]
[tex]100=36+64[/tex]
[tex]100=100[/tex]
Since the condition is met, the old photo frame is still rectangular
four times a number p is more than 22
Answers
Answer:
[tex]4p\: > 22[/tex]
[tex]four \: times \: a \: number \: p \: is \: \\ more \: than \: 22[/tex]
The expression of inequality four times a number p is more than 22 is
4p > 22.
What is inequality?Inequality compares two non-equal terms of both sides of the inequality sign. There are four types of inequality.
Given statement four times a number p is more than 22.
As it is stated more than we have to form an inequality strictly greater than 22 which is,
4p > 22.
p > 22/4.
p > 5.5.
This number p can also be represented on a real number line with an open circle at 5.5 and extended to infinity.
learn more about inequality here :
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Any help and this please ??
Answers
Which statement correctly identifies a local minimum of the graphed function?
Over the interval [–3, –2], the local minimum is 0.
Over the interval [–2, –1], the local minimum is 2.2.
Over the interval [–1, 0.5], the local minimum is 1.
Over the interval [0.5, 2], the local minimum is 4.
Answers
Statement which is correctly identifies the local minimum of the graphed function is given by over the interval [tex][-1,0.5],[/tex] the local minimum is [tex]1[/tex].
What is graph?
" Graph is defined as the pictorial representation of the relation between the given variables on the coordinate plane along x-axis and y-axis."
According to the question,
Form the given graph of the function local minimum is given by
a. Over the interval [tex][-3, -2][/tex], the local minimum is [tex]0[/tex]:
From the graph value of y coordinate at [tex]x= -3[/tex] is closest to [tex]-6[/tex]. As per given statement local minimum is zero . [tex]-6 < 0[/tex]
At [tex]-2[/tex] closest to [tex]1[/tex] , [tex]1 > 0[/tex]
Therefore , local minimum [tex]=0[/tex] is not a correct option.
b. Over the interval[tex][-2, -1][/tex], the local minimum is [tex]2.2.[/tex]
From the graph at [tex]-2[/tex] closest to [tex]1[/tex] , [tex]1 \neq 2.2[/tex].
Moving from [tex]-2[/tex] to [tex]-1[/tex] graph is increasing . At [tex]-1[/tex] y - coordinate is equals to [tex]2[/tex].
Again [tex]2\neq 2.2[/tex]
Therefore, it is not a correct option.
c. Over the interval[tex][-1, 0.5][/tex], the local minimum is [tex]1[/tex]
From the graph at [tex]-1[/tex] closest to [tex]2[/tex] ,and keep on decreasing till [tex]x=0[/tex] .
From [tex]0[/tex] to [tex]0.5[/tex] graph keep on increasing.
At [tex]x= 0[/tex] value of y-coordinate is equals to [tex]1[/tex] , which represents the local minimum at [tex]x= 0[/tex] which is in the interval [tex][ -1, 0.5][/tex]
At [tex]x= -1[/tex] y- coordinate is equals to [tex]2[/tex]
At [tex]x= 0.5[/tex] y- coordinate is equals to [tex]2[/tex]
Local minimum [tex]= 1[/tex] at [tex]x=0[/tex]
Therefore, it is a correct option.
d. Over the interval [tex][0.5, 2],[/tex] the local minimum is [tex]4.[/tex]
In the given interval graph keeps on increasing [tex]1[/tex] to [tex]4[/tex] and so on.
It is not a correct option.
Hence, statement which is correctly identifies the local minimum of the graphed function is given by over the interval [tex][-1,0.5],[/tex] the local minimum is [tex]1[/tex].
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A chemist has three different acid solutions,
The first solution contains 20 % acid, the second contains 35 % acid, and the third contains 55%
acid.
She created 108 liters of a 40 % acid mixture, using all three solutions. The number of liters of
55 % solution used is 3 times the number of liters of 35 % solution used.
How many liters of each solution was used?
The chemist used
liters of 20% solution,
liters of 35 % solution, and
liters of 55 % solution.
Question Help: Message
instructor
Calculator
Answers
9514 1404 393
Answer:
36 liters of 20%18 liters of 35%54 liters of 55%Step-by-step explanation:
Let a, b, c represent the quantities of 20%, 35%, and 55% solutions, respectively. Then for the given mix, we have ...
a + b + c = 108 . . . . . total number of liters
.20a +.35b +.55c = 0.40·108 . . . . . liters of acid
0a - 3b + c = 0 . . . . . 55% solution was 3 times 35% solution
__
Solving these three equations by your favorite method gives ...
(a, b, c) = (36, 18, 54)
The chemist used 36 liters of 20%, 18 liters of 35%, and 54 liters of 55%.
_____
Comment on alternate approach
Since the ratio of 55% to 35% is 3 : 1, that mix will have an acid content of ...
(3(.55) +1(.35))/4 = 0.50 = 50%
So, the final mix is equivalent to some quantity of 50% mix being added to some quantity of 20% mix. The fraction that is 50% mix* will be (40-20)/(50-20) = 2/3 of the total, or (2/3)(108 L) = 72 L.
Now we know that (1/3)(108 L) = 36 L of 20% solution is needed and (1/4)(72 L) = 18 L of 35% solution is needed. 3 times that is 54 L of 55% solution.
__
* After you work a few mixture problems, you can see the pattern. If we start with an equation for x = fraction of 50% to use with 20% to make 40%, we get ...
x(50%) +(1 -x)(20%) = 40%
x(50% -20%) = 40% -20% . . . . . subtract 1(20%) and factor out x
x = (40% -20%)/(50% -20%)
The key here is to see where the numbers 20%, 40%, and 50% show up in the fraction.
Solve for h: A = (1/2)*b*h*
O h = 2*A*b
O h = A *(b/2)
O h = (2*A)/b
0 h = (2+b)/A
Answers
Step-by-step explanation:
The answer is the third option
2. Rena mixes i cup of blue paint for every cup of red paint to make purple paint.
Enter the number of cups of red paint Rena mixes with 1 cup of blue paint.
Answers
To quickly find the product of a whole number time 1000, add *Blank* Zeroes to the number
Answers
Answer:
Add three zeros to the end.
Step-by-step explanation:
When you add three zeros, the result is equivalent to when multiplying by 1000. For example, 20 times 1000 is 20,000.
Hi! I believe your answer is 3 zeros. For example, 7 × 1,000 = 7,000 (add 3 zeros). I hope this helps you! Good luck and have a great day/night. ❤️✨
Help ASAP
Write the fraction [tex]\frac{45}{81}[/tex] in simplest form.
Answers
Answer:
[tex]\frac{5}{9}[/tex]
Step-by-step explanation:
Given
[tex]\frac{45}{81}[/tex] ( divide numerator and denominator by HCF of 9 )
= [tex]\frac{5}{9}[/tex] ← in simplest form
CAN SOMEONE PLZ HELP ME:))))))))
Answers
I might be wrong
Perform the indicated operation.
(-7) · (-5)
-12
-35
12
35
Answers
Answer:
35
Step-by-step explanation:
A negative number multiplied by a negative number is positive. Multiplication is repeditive addition.
(-7) * (-5) = -(-7 + -7 + -7 + -7 + -7) or -( -5 + -5 + -5 + -5 + -5 + -5 + -5 ) = 35.
Answer:
35 is the answer I remember my brother telling me that two negitives always makes a positive no matter the symbol
Step-by-step explanation: 7 x 5 = 35 that is really all you have to do. but this is a random tip always remember that two negitives equal a positve also when you add positve to negitive it goes right so say you have -5 + 5 that would equal zero. when you add negitive and negitve numbers it will have a negitive sum
7) Cameron wants to buy new lacrosse equipment that costs $55.25. She plans to save $4.25 each
week. Write and solve an equation to determine how many weeks it will take her to save enough
money to buy the equipment. Define your variable and label your answer!
Answers
Answer:
13 weeks
Step-by-step explanation:
Let's say the number of weeks she will take is x. This would mean that 4.25 times the number of weeks(x) is equal to 55.25
Equation:
4.25x = 55.25
x=13
8x=-1/2 Whats the answer
Answers
Rewrite x5/6 divided by x1/6 in simplest radical form
Answers
someone please help me ASAP
Answers
Answer:
Step-by-step explanation:
1. 9.6x10^4
2. 7.2x10^8
3. 1.19x10^-7
4. 9.48x10^-3
5. 2.04x10^8
Which expression represents the area of this figure in square feet
Answers
Answer: A im positive its A
Step-by-step explanation: 3 times 2 equals 6 and add that to 3 times 4 which is 12 and you get 18
PLEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!!
Answers
Solving Steps:
1. Solve for x
40-4x=50-8x
-4x+8x=50-40
4x=10
x=2.5
2. Find <1 and <2
40-4(2.5)
40-10
=30
Emma jogs 2 miles along the beach in 1/3
of an hour. If she travels at a constant rate, how far will she jog in an hour?
1. Use the known information to write a rate.
Emma’s rate:
2 miles 1/3 hours
2. Write an equivalent rate with a denominator of 1.
2(3) miles / 1/3 (3) hours = ? /1 hour
Answers
Answer:
Step-by-step explanation:
6 miles
2 times 3 = 6
or
2 x 3/3 = 6
Yesenia swims laps at a pool. For every 10 laps she swims the backstroke, she swims 15 laps of freestyle. Which ratio shows the number of laps Yesenia swims the backstroke to the number of laps she swims freestyle?
Answers
Answer:
2 3
Step-by-step explanation:
HELPS ME SOLVE THIS PROBLEM PLEASE
Answers
Answer:
The third answer, y = 4x + 1
Step-by-step explanation:
Let's take the pair x = 2, and y = 9.
We know what x is, and what the result, y, is now.
Let's plug x into the third equation, y = 4x + 1
y = 4 * 2 + 1
y = 8 + 1
y = 9
We already know that y = 9, so this equation is correct.
Hope this helps!
(Let me know if you want to know why it's not any of the others.)
Which number line shows the solution to -6 -(-2)
Answers
Answer:
2nd one
Step-by-step explanation:
Answer:
the first option
Step-by-step explanation:
-6 -(-2) can also mean -6+2 because the (-) in that equation can also mean -1, so a negative time a negative is a positive.
so, there is -6 and ur adding 2 to it, which is -4
How to solve 3(x + 1) − (3x + 2)
Answers
Answer:
Step-by-step explanation:
3(x + 1) − (3x + 2)
we will expand the first bracket:
3x+3-3x-2
3x and -3x cancels
3-2=1
Answer:
1
Step-by-step explanation:
3x+3+−3x+−2
=(3x+−3x)+(3+−2)
=1
Hey guys can you help me?
Answers
Answer:
850
Step-by-step explanation:
2×400=800
2×20=40
2×5=10
800+40+10=850
I need help a-sap! Please and thank you!!
Answers
Answer:
x = 80 degrees
Step-by-step explanation:
A straight line forms 180 degrees in total. It is given that the first angle is 100 degrees. 180 - 100 = 80, therefore x = 80 degrees
Which statement is false A the inequality sign alwats opens up to the largers number. B the greater number in the equality is always above the number on the vertical number line. C the smaller number is inequality is always located to the left of the other number on the horizontal number line. D inequality sign always open up to a smaller number
Answers
Answer:
D inequality sign always open up to a smaller number
Step-by-step explanation:
In efforts of improving their orofit margins, a company is considering creating their own manufacturing plant for their product. It had a start-up cost of 25,000 to build the plant. This plant will drop the production cost down to $15 per item. If each item sells for $50, then how many items would it take to get an overall profit of $100,000 for the year?
Answers
Answer:
To get an overall profit of $100,000, then 3,571 items is needed to be produced
Step-by-step explanation:
Mathematically;
Profit = Revenue - Production cost
In the question, we are told that the profit we are expecting is $100,000
Let the number of items to be produced for sales be x items
Now let’s look at the production cost ;
The production cost will be number of items for sale * production cost = 15 * x = $15x
Now, we need to add the start-up cost to the production cost to get the total amount spent on production;
Mathematically the total amount would be = $25,000 + $15x
Let’s look at the revenue;
The revenue will be selling price of each item * price of each item;
Mathematically, that would be 50 * x = $50x
So therefore;
50x - (25,000 + 15x) = 100,000
50x -25,000 -15x = 100,000
35x = 100,000 + 25,000
35x = 125,000
x = 125,000/35 = 3571.42 which is approximately 3,571 items
3 (4x - 2) - 30 = -6 (6 - 2x) - 20
A.Infinite Solutions/Identity
B.No Solution
C.x = 0
D.x = 1
show work please
Answers
Answer:
B.
Step-by-step explanation:
3(4x-2)-30=-6(6-2x)-20
12x-6-30=-36+12x-20
12x-36=12x-56
Karen works at a car dealership. She makes only $5 an hour, but for every car she sells, she makes $1,000 in commission. If Karen worked 200 hours this month and made a total of $6,000, how many cars did Karen sell this month?
Answers
Answer:
4
Step-by-step explanation:
Ms. Rivera's class hoped to raise $135. They missed heir goal by $8.62. How ip much money did Ms. Rivera's class raise?
1. 144.42
2. 135
3. 126.38
4 127.28
Answers
Answer:
126.38
Step-by-step explanation:
$135.00-$8.62=$126.38
Which graph below shows the solution set for the inequality b ≥ 5?
pls help meeeeeeeee
Answers
Answer: we can’t see graphs but I can help you if you show me them
Step-by-step explanation: