Answers
Answer:
2. Denote two pieces: x, y
x + y = 40
x = 2y + 10
=> 2y + 10 + y = 40 => 3y = 30 => y = 10 => x = 2 x 10 + 10 = 30
=> Solution: 10 and 30
3. Denote 4 consecutive number: 2k, 2k+2, 2k+4, 2k+6
(2k + 2k + 4) x 2 + 20 = 2 x (2k + 6)
=> 8k + 28 = 4k + 12
=> 4k = -16
=> k = -4
=> Solution: -8, -6, -4, -2
4. The number of shoppers after announcement :
N = 320 x 150/100 = 480
Hope this helps!
:)
Related Questions
I don’t know which one is write and stuck between C and D ?
Answers
Answer:
maybe D
Step-by-step explanation:
I'm thinking D because if do
[tex] - 6 - 4 = - 10[/tex]
but also it doesn't make 16 when you do
[tex]4 \times 6 = 24[/tex]
The school that Julio goes to is selling tickets to a spring musical. On the first day of ticket sales
the school sold 12 senior citizen tickets and 1 child ticket for a total of $75. The school took in
$170 on the second day by selling 1 senior citizen ticket and 11 child tickets. Find the price of a
senior citizen ticket and the price of a child ticket.
A) senior citizen ticket: $4, child ticket: $23 B) senior citizen ticket: $15, child ticket: $5
C) senior citizen ticket: $7, child ticket: $8 D) senior citizen ticket: $5, child ticket: $15
Answers
Answer:
the answer is D
Step-by-step explanation:
12 times 5 equals 60 1 times 15 eqauls 15 60+15=75
Answer:D
Step-by-step explanation:12 senior tickets times 5 dollars each equal $60 plus 15 dollars for one child ticket equal $75
11 child tickets times 15 dollars each equal $165 plus 5 dollars for 1 senior ticket equal $170
Find the third side in simplest radical form:
Answers
consider the following function f(x)= -9 (1/3) x+3
Answers
Answer:
x = 1
Step-by-step explanation:
Download photomath and you can find out.
Answer:
Part A: What is the y-intercept for f(x)? Write your answer as a fraction.
-1/3
Part B: What is the x- intercept for f(x)?
undefined
Part C: Find f(-1)
-1
Step-by-step explanation:
Hope this helps those on Section 7 Topic 4
f K = {(x, y) | x - y = 5}, is Set K a function?
Answers
Answer:
Yes, because the linear function x - y = 5 is a function
Step-by-step explanation:
x - y = 5 can look like y = x - 5 with slope 1 and y-intercept -5
so this is a function which makes set K a function.
A skateboard is on sale for 60% off the regular $80 price. What is the sale price?
$60
$32
$48
$20
Answers
Answer:
The answer is 32
Step-by-step explanation:
hope this helps
Answer:
$32
Step-by-step explanation:
what is 2 square root of 45 in simplest radical form?
Answers
Answer:
6√5
Hope this helps :)
DEF is a right angle ?
Answers
Answer:
False
Step-by-step explanation:
Since we want to test if it is a right triangle, we can use Pythagorean Theorem
a^2+b^2=c^2
where a and b are the legs, and c is the hypotenuse.
In the given triangle, 23 and 26 are the legs, since they are shorter sides. 42 is the hypotenuse, since it is the longest side.
Therefore, a is 23, b is 26 and c is 42. Substitute these values into the equation
23^2+26^2=42^2
Evaluate the exponents
529+676=1764
Add 529 and 676
1205=1764
This statement is not true, 1205 is not equal to 1764. Therefore this is not a right triangle.
Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square inches. The table is 36 inches wide and 72 inches long without the border. Which quadratic equation can be used to determine the thickness of the border, x? (2 points)
Group of answer choices
4x2 + 216x + 2,592 = 0
4x2 + 216x − 684 = 0
2x2 + 216x − 3,276 = 0
x2 + 108x + 3,276 = 0
Answers
Answer:
4x2+216x-684x
Step-by-step explanation:
solnA) The dimensions of the table are in inches
Let
x=the thickness of the border
we know that the table and the border must have an area of 3,276 square feet
convert the dimensions of the table to feet
remember that; 1ft =12in
36in=3ft
72in=6ft
i.e; 3,276 = (6+12x)*(3+2x)
solve for x
3276=6×3+ 6×2x +2x×3+ 4x²
3276=18+12x+6x+4x²
4x²+18x+18-3276=0
4x²+18x-3258
solnB) The dimensions of the table are in feet
Let
x=the thickness of the border
we know that the table and the border must have an area of 3,276 square feet
i.e 3,276 = ()×()
solve for x
3,276 = 72×36 + 72×2x + 2x×36 + 4x²
3,276 = 2,592 + 144x + 72x + 4x²
4x² + 216x + 2,592 + 3276 = 0
4x²+216× - 684= 0
therefore; the quadratic equation can be used to determine the thickness of the border =
4x² + 216x - 684 = 0
Find the inverse of the function.
y = X - 9
Answers
Answer:
x=y+9
Step-by-step explanation:
so what we do here is take x-9 and add 9 to both sides giving us y+9=x all we do is put x first and y+9 last and we have the inverse
Natalie is opening a clothing store. She plans to start by selling gym shorts. It
costs her $7 for each pair of shorts, $3 per box for the shorts, and $0.25 a
bag. Natalie also spends $650 on rent, $55 on electricity, and $20 on
advertising each month. What is the cost function for Natalie's clothing store
per month?
A. C= 10.25n+ 725
B. C = 7.00n + 725
C. C = 725n+ 10.25
D. C = 7.25n+ 725
O
Answers
Answer:A
Step-by-step explanation:
The cost function for Natalie's clothing store per month is C = 10.25n + 725.
Explanation:The cost function for Natalie's clothing store per month can be calculated by adding up all the costs she incurs. This includes the cost of the gym shorts, the cost of the boxes for the shorts, the cost of the bags, and the monthly expenses for rent, electricity, and advertising.
The cost of each pair of shorts is $7, the cost of each box is $3, and the cost of each bag is $0.25. The monthly expenses are $650 for rent, $55 for electricity, and $20 for advertising.
Therefore, the cost function for Natalie's clothing store per month can be expressed as: C = 7n + 3n + 0.25n + 650 + 55 + 20, where n represents the number of gym shorts sold.
Simplifying the expression, we get: C = 10.25n + 725
Learn more about Cost function here:https://brainly.com/question/31952319
#SPJ2
Solve for y. 2y + 10 = –3y
Answers
Answer:
y = -2
Step-by-step explanation:
2y + 10 = -3y
subtract 2y from both sides
10 = -5y
divide by -5 for both sides
-2 = y
The coordinate (0,0) is a point on the graph y = 2x.
True
False
Answers
What percentage of Coach passengers did not check bags
Answers
Answer:
35.2%
Step-by-step explanation:
Add all of the passengers up for the total.
10 + 81 + 14 + 57 = 162
The fraction for how many Coach passengers that did not check their bags is:
57/162
Simplify to a decimal and multiply by 100 to get percent.
Answer: 41.3
Step-by-step explanation:
Flies in a nest double every 12 hours. If the nest starts with 10 flies, how many will you have in 3 days?
Answers
How is Johnson's speech similar to Kennedy's?
Check all of the boxes that apply.
He sees the future as a test.
He sees his program as a challenge.
He says his program depends on the actions
of the people of the US.
Answers
Answer:
He sees the future as a test.
He sees his program as a challenge.
He says his program depends on the actions
of the people of the US.
Step-by-step explanation:
i think it's tho i hope this help
The reasons why Johnson's Speech is similar to Kennedy's Speech is because;
A: He sees the future as a test.
B: He sees his program as a challenge.
C: He says his program depends on the actions
What is the similarity in speech?John F. Kennedy and Lyndon B, Johnson were former Presidents of the USA and they delivered speeches on civil rights. Now, both Kennedy and Johnson were effective in their speeches by utilizing their credibility as Presidents to back up the statistical and logical evidence.
Now, although Kennedy was more effective in delivering his speech due to his use everyday situations to appeal to the audience’s emotion, there were some similarities between his speech and that of Johnson and they are;
A: He sees the future as a test.B: He sees his program as a challenge.C: He says his program depends on the actionRead more about similar speeches at; https://brainly.com/question/25887038
A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal?
31 units
39 units
41 units
49 units
Answers
Answer:
41 Units
Step-by-step explanation:
You have to use Pitagora.
Diagonal (d) = √9²+40² = √1681 = 41
The length of a diagonal is 41 units.
Length of a diagonalUsing Pythagorean theorem formula
Diagonal (d) =√width²+length²
Let plug in the formula
Diagonal (d)=9²+40²
Diagonal (d) =81+1600
Diagonal (d)=√1681
Diagonal (d) =41 units
Inconclusion the length of a diagonal is 41 units.
Learn more about length of a diagonal here:https://brainly.com/question/23008020
If 5<2x+3<11, what is the possible range of value of -4x-6
Answers
Answer:
-10 > (-4x - 6) > -22
Step-by-step explanation:
Given inequality is 5 < 2x + 3 < 11
Now we will multiply this inequality by (-2) resulting,
5(-2) > (2x + 3)(-2) > 11(-2)
-10 > (-4x - 6) > -22 (Sign of inequality gets reversed when the inequality is multiplied or divided by a negative number)
Therefore, the possible range of (-4x - 6) is between -22 and -10.
Which inequality describes all the solutions to 5(3 - x) < -2x + 6?
A X <-9
B. x > 3
O c. xx-3
D. X>7
Answers
Work Shown:
5(3-x) < -2x+6
15-5x < -2x+6 .... distribute
15-5x+5x < -2x+6+5x ... adding 5x to both sides
15 < 3x+6
15-6 < 3x+6-6 ... subtracting 6 from both sides
9 < 3x
3x > 9 ... flip both sides of inequality, flip the inequality sign
3x/3 > 9/3 ... dividing both sides by 3
x > 3
Notice that when going from 3x > 9 to x > 3, the inequality sign does not flip. The sign only flips if you divided both sides by a negative number.
Five years ago, Nina was twice as old as Sam. In five years, she will be 1.5 times as old as Sam. How old are Nina and Sam now?
Answers
Answer:
age of Sam= 15 years
age of Nina = 25 years
Step-by-step explanation:
Let Nina's age be X years
Let Sam's age be Y years
Five years ago Nina's age will be X- 5 years
Five years ago Sam's age will be Y- 5 years
Given in question
Five years ago, Nina was twice as old as Sam
writing it mathematically using X and Y we have
Nina's age = 2 * Sam's age
X- 5 = 2 *(Y- 5)
X = 2 *(Y- 5) + 5 = 2Y - 10 + 5 = 2Y - 5 _________________equation A
__________________________________________________________
Five years in future Nina's age will be X+ 5 years
Five years ago Sam's age will be Y+ 5 years
Given in question
In five years, she will be 1.5 times as old as Sam
writing it mathematically using X and Y we have
Nina's age = 1.5 * Sam's age
X+5 = 1.5 *(Y+ 5)
X = 1.5*(Y+5) -5 = 1.5Y +7.5 - 5 = 1.5Y +2.5 _________________equation B
_______________________________________
in equation A we have X = 2Y - 5
in equation B we have X = 1.5Y + 2.5
equating equation A and B we have
2Y - 5 = 1.5Y +2.5
=> 2Y - 1.5Y = 2.5 + 5
=> 0.5Y = 7.5
=> Y = 7.5/0.5 = 15
from equation A we have
X = 2Y - 5 (substituting the value of Y = 15 in equation we have)
X = 2*15 - 5 = 25
Therefore age of Sam= 15 years
age of Nina = 25 years
Answer:
Nina's 25 and Sam's 15
Step-by-step explanation:
(2.2 • 10^-3)(4.10^-2) please help
Answers
Answer:
it would be 0.000088 hope this helps also is it just 4 or is it 4.10
Step-by-step explanation:
In a normal quadratic function how many
times does it cross the x intercept?
Answers
Answer:
0, 1, 2
Step-by-step explanation:
Hi there!
A quadratic function can have either 0, 1 or 2 x-intercepts. This means that the graph of a quadratic function can intercept the x-axis 0, 1 or 2 times.
Attached are some graphical representations of all three cases.
I hope this helps!
The side lengths of three triangles are shown in the table. Which of the triangles is a right triangle?
Answers
Answer:
Triangles I and III are right triangles, because they are similar to a 3-4-5 right triangle.
Step-by-step explanation:
The Pythagorean theorem tells you of the relationship between the sides of a right triangle. A set of integer side lengths that satisfies the Pythagorean theorem is called a Pythagorean triple. There are an infinite number of these, and there are formulas for finding them.
The smallest Pythagorean triple is {3, 4, 5}, and it is generally the first one you learn about. It is special for a variety of reasons. One of them is that it is the only Pythagorean triple that is an arithmetic sequence. Any multiple of a Pythagorean triple is also a set of side lengths that will form a right triangle.
__
If we multiply the {3, 4, 5} triple by 2/10, we get {6/10, 8/10, 1}, which matches the side lengths of Triangle I in your list. Multiplying by 1/13 gives {3/13, 4/13, 5/13}, which matches the side lengths of Triangle III in your list. That means both Triangles I and III are right triangles.
__
The Pythagorean theorem tells you that a right triangle with sides a, b, and hypotenuse c will satisfy the relation ...
c² = a² +b²
If the triangle is isosceles, such that a=b, then the hypotenuse will be ...
c² = a² +a² = 2a²
c = a√2
In reduced terms, the sides of an isosceles right triangle have the ratios ...
{1, 1, √2}
That is, there is no rational Pythagorean triple that describes an isosceles triangle. Triangle II cannot be a right triangle.
_____
Additional comment
Just so that you can see {3, 4, 5} is a Pythagorean triple, we show you ...
5² = 3² +4² ⇔ 25 = 9 + 16
Other small integer triples that may be seen in math problems are ...
{5, 12, 13}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}, {11, 60, 61}, {12, 35, 37}
What is the distance from (8,3) and (3,1) on the coordinate plane?
Answers
Answer:
C
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (8, 3) and (x₂, y₂ ) = (3, 1)
d = [tex]\sqrt{(3-8)^2+(1-3)^2}[/tex]
= [tex]\sqrt{(-5)^2+(-2)^2}[/tex]
= [tex]\sqrt{25+4}[/tex]
= [tex]\sqrt{29}[/tex] → C
Plz answer with explanation will mark brainliest
Answers
Answer:
20 minutes
Step-by-step explanation:
2 feet below sea level is -2
The opposite is 2 feet above sea level +2
They are +2 ft at 20 minutes
Answer:
C
Step-by-step explanation:
2 feet below sea level: depth = +2
Opposite: -2
Time: at 50 minutes
Which expression is not equal to the expression shown?
33 3-4
3 3 4 34
3*+34
37 - 30
30+
30
3
3 * 36
*3*
33 x 34
30*34
Answers
Answer:
Step-by-step explanation:It’s actually the fourth one because all of them equal 2187 the only one is the last one because it equals 1/2187
It takes 32 men to renovate 6 flats in 24 days.
(a) How many flats can 48 men build in 40 days?
Answers
Answer:
[tex]3[/tex]
hope this helps
Which three lengths could be the lengths of the sides of a triangle? 6 cm, 22 cm, 10 cm 7 cm, 25 cm, 11 cm 9 cm, 22 cm, 11 cm 10 cm, 14 cm, 23 cm
Answers
Answer:
10 cm, 14 cm, 23 cm
Step-by-step explanation:
Answer:
10 cm, 14 cm, 23 cm
Step-by-step explanation:
WILL NAME BRAINLIST!!
Deepak wrote an equation to show the total value of a stack of quarters. The equation is y = 0.25 x, where y represents the total value and x represents the number of quarters. Which table below represents this information?
(these letters will represent the pictures in order.)
A.
B.
C.
D.
Answers
Answer:
D
Step-by-step explanation:
The fourth graph makes sense, and follows Deepak's equation. To check if a graph follows an equation, all you have to do is substitute the values of x and y into the equation and see if they follow the equation.
Answer:
it would be the last one
Step-by-step explanation:
The circumference of a
circle is 75.5 ft. What is the radius and
diameter of this
circle? Use 3.14 for Pi.
Round your answer to the
nearest hundredth place