Answers
Answer:
(x+1)+(3x+1)+(2x+4)=180 (sum od all sode of a triangle is 180)
x+1+3x+1+2x+4=180
6x+6=180
6x=180-6
x=174/6
x=66
Answer:
x = 4
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
(3x + 1)² = (x + 1)² + (2x + 4)² ← expand all factors using FOIL
9x² + 6x + 1 = x² + 2x + 1 + 4x² + 16x + 16 , simplify right side
9x² + 6x + 1 = 5x² + 18x + 17 ( subtract 5x² + 18x + 17 from both sides )
4x² - 12x - 16 = 0 ( divide through by 4 )
x² - 3x - 4 = 0 ← in standard form
(x - 4)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 1 = 0 ⇒ x = - 1
However, x > 0 thus x = 4
Related Questions
5 student in class want to have extra homework. If 20% of the student want extra
homework, how many total students are in the class?
PLS HELP IMMEDIATELY I WILL GIVE BRAINLY
Answers
Can anybody help me out on question 8 please , I would really appreciate it so much. Please and thank you
Answers
Step-by-step explanation:
a circle from point O is 360° and the triangle is 180°
If 5 candy bars cost $3.00, how much will 2 candy bars cost?
Answers
wait nvm
one candy bar costs 0.60 cents
multiply this number by 2 and get $1.20
plz use the image below
Answers
Part (i)
Answer: m/n
--------------------
Explanation:
You divide the total bill over the number of people at the dinner. This leads to the quotient and the amount each person pays (each person pays the same amount).
====================================================
Part (ii)
Answer: 80 dollars
--------------------
Explanation:
Plug in m = 400 and n = 5 to get
m/n = 400/5 = 80
====================================================
Part (iii)
Answer: m = 7x
--------------------
Explanation:
x = m/n
x = m/7
7x = m ... multiply both sides by 7
m = 7x
The total bill is 7 times of what each person paid.
====================================================
Part (iv)
Answer: 7 people
--------------------
Explanation:
x = 20 is the amount each person paid
m = 140 is the total bill
n = number of people who went to dinner
x = m/n
20 = 140/n
20n = 140 ..... multiply both sides by n
n = 140/20 ..... divide both sides by 20
n = 7
Seven friends went to do dinner, splitting a $140 bill, paying $20 each
Answer:
m/n; $80; 7*x; 7 friends
Step-by-step explanation:
(I) $x=$m/n
(II) $x=400/5=$80
(III) $m=7*x
(IV) n=140/20=7
What is the X input if Its (1,5) (2,12) (3,19) (X,26) what is X?
Answers
Answer:x=4
Step-by-step explanation:
the rule is for each time x is increased by one y increases by 7
like 5+7=12
12+7=19
19+7=26
so
1+1=2
2+1=3
3+1=4
4 is the answer
One cell phone company offers a plan that costs $26.99 and includes unlimited night and weekend minutes. Another company offers a plan that costs $18.99 and charges $0.35 per minute during nights and weekends. For what numbers of night and weekend minutes does the second company's plan cost more than the first company's plan? Starting at minutes, the second company's plan will cost more than the first company's plan.
Answers
Given :
One cell phone company offers a plan that costs $26.99 and includes unlimited night and weekend minutes.
Another company offers a plan that costs $18.99 and charges $0.35 per minute during nights and weekends.
To Find :
For what numbers of night and weekend minutes does the second company's plan cost more than the first company's plan.
Solution :
Let, after n number of nights and weekends second plan is most costly.
So,
[tex]18.99+0.35x > 26.99\\\\0.35x > 8\\\\x>22.85[/tex]
Therefore, after 22 night and weekends second plan is most costly.
Hence, this is the required solution.
!!Please answer and don’t give me the wrong answer!!
bentonville high school’s student council is planning a fundraiser. a local coffee shop has agreed to make a flag donation of $500 and also give a percent of their total sales over a specified weekend. the total donation can be modeled by the function rule D(s)=500+0.05s, where s represents the total sales at the coffee shop during the fundraising weekend in dollars. find the value of D(2750), showing your work. What does this quantity mean in the context of the problem solution
Answers
Answer: D(2750) = 637.5
if total sales = $2750 then total donation = $637.5
Step-by-step explanation:
GIven: A local coffee shop has made a flat donation of $500 and also give a percent of their total sales over a specified weekend.
The total donation can be modeled by the function rule D(s)=500+0.05s,
where s = total sales at the coffee shop during the fundraising weekend in dollars.
Now, D(2750) = 500+0.05(2750)
= 500+ 137.5
= 637.5
i.e. if total sales = $2750 then total donation = $637.5
What is the inverse of the statement "If Mike did his homework, then he will pass this test"?
A. If Mike passes this test, then he did his homework.
O
B. If Mike does not pass this test, then he did not do his homework.
O C. If Mike does not pass this test, then he only did half his homework.
D. If Mike did not do his homework, then he will not pass this test.
Answers
Answer:
d. if mike did not do his homework, then he will not pass this test
HAVING BAD DAY HELP
Jasmine drives every morning to her office that is 12 miles from her home.
a
If Jasmine's average driving speed is s mph, how many hours does it take her to drive from her home to the office?
Answers
Hope this helps
Answer:
12/s
Step-by-step explanation:
PLZ HELP I WILL MARK BRAILNLEIST!! 20. b) Find the side length of the square. [No label is required.] *
1 point
2x + 5 ft
6x – 11 ft
Your answer
This is a required question
Answers
Answer:
The length of one side is 13 feet.
Step-by-step explanation:
To start, a square is 4 sides that are equal in length. This means that when you have a problem like this, you need to set the equations equal to each other like:
[tex]2x+5=6x-11[/tex]
In order to solve a problem like this, with the same variables on different sides, start by subtracting the smaller variable from both sides. In this case, you would be subtracting 2x from both sides, which would leave us with:
[tex]5=4x-11[/tex]
After that, you solve it like a normal one-step equation. Add 11 to both sides.
[tex]16=4x[/tex]
Now, divide both sides by 4 and you will know how much [tex]x[/tex] is worth.
[tex]4=x[/tex]
Now that we know how much [tex]x[/tex] is worth, we can plug that into either of the equations given to us. It doesn't matter which since they are equal to each other.
[tex]2(4)+5[/tex]
That would give us 13.
Answer:
the sides are 13
x= 4
Step-by-step explanation:
2x+5 = 6x-11 subtract five from both sides
2x = 6x-16 subtract 6x from both sides
-4x = -16 divide both sides by -4
x = 4 substitute into original problem
2(4) + 5 = 6(4) - 11
8 + 5 = 24 - 11
13 = 13
Antoine made $33,284 last year. He received a 4.5% annual raise.What will his new salary before the coming year
Answers
Answer:
$34781
Step-by-step explanation:
Use the image below to answer the following question.
An image shows a diver crouching on a diving board labeled 1. The diver launching off the board is labeled 2. The diver just about to enter the water is labeled 3 The diver in the water feet above water is labeled 4.
At which position does the diver have the most gravitational potential energy?
Answers
Answer:
its a
Step-by-step explanation:
because iti s
which equation matches the graph?
Answers
Meaning, you plot (0,8) and move down 3 and right 1 for the slope.
Answer:
y=-3x+8
Step-by-step explanation:
20 adults and 15 children are going to attend a musical evening. The organizers have arranged the tables in such a way that there is an equal number of adults and children on each table and no one is left over. What is the GREATEST number of tables that the organizer can set up?
Answers
Answer:
Step-by-step explanation:
20 + 15 = 35 . Now you need to list the factor of 35: 1, 5, 7, 35 pickt the smallest factor.
A gift box is 8 inches long, 3inches wide, and 4inches tall. What is the approximate length of its longest diagonal?A? 9.4inchesB. 10.2inchesC. 15inchesD. 89inches6.What is the length of the con the graph below?A. 5 B. 6C. 7 D. 12641012xc
Answers
Given parameters:
Length of the gift box = 8 inches
Width of the box = 3 inches
Height of the box = 4 inches
Unknown :
Length of its longest diagonal = ?
Solution:
This is a rectangular box.
To find the diagonal of such box, let us use the formula below;
Diagonal = [tex]\sqrt{l^{2} + w^{2} + h^{2} }[/tex]
l is the length
w is the width
h is the height
Input the parameters and solve;
Diagonal = [tex]\sqrt{8^{2} + 3^{2} + 4^{2} }[/tex] = 9.4inches
The diagonal of the box is 9.4inches
Janet is three years older than her sister Julie. Janet’s brother is eight years younger than her sister Julie. The sum of all their ages is 55 years.
Answers
23+20=43
43+ 12=55
I need help please , it would be nice
Answers
Answer:
A
Step-by-step explanation:
sub each value into x,the value is the minutes,that is, 1,2,3,....and so on to get the answer (gallons of water)
Which sets of numbers does - 169 belong to? Choose all that apply.
Answers
Answer:
what grade is this? Like what
Which shows all the like terms in the expression? Pleeassseee helpppp.
Answers
I dont know.how to do these. The teacher doesn't necessarily teach us how to do it.
Answers
Equation for quadratic function is
y = a (x-h)^2 + k
To get:
X-intercepts: any point that touches the x-axis
Axis of symmetry: x = opposite of h
Vertex: (opposite of h,k)
Y-intercept: any point that touches the y-axis
Extra Point: i think you can get this by finding a point from your graph
Domain: (-infinity,infinity)
Range: [min,infinity) or (-infinity,max)
If the a is fraction, the graph is compress
If the concave is down, the value is negative. If the concave is up, the value is positive.
Concave up is absolute minimum. Concave down is absolute max.
Positive a means concave up. Negative a means concave down
$1.99 for 3 tomatoes
Answers
Answer:
$5.97
Step-by-step explanation:
Multiply 1.99 and 3
Someone help please this is very important
Answers
Answer:
car B is the least efficient shown in the graphic
$80 for 16 tickets as a unit rate
Answers
Answer:
$5.00 a ticket :)
Step-by-step explanation:
Divide 80 by 16, then you will have ur answer.
hope this helped </3
Answer:
i think it is 80:16
Step-by-step explanation:
hope this helped!
p.s it would be cool if you gave me the brainliest.
The Charles River in Massachusetts is 130 km long.
How long will it be on a map drawn at the scale 1:2,000,000?
Answers
Answer: 6.5 cm
Step-by-step explanation: 1 km = 100,000 cm, so 130 km= 130,000,00 cm, 130,000,00÷2,000,000=6.5 cm
The Charles river will be "6.5 cm" long. A complete solution is provided below.
On the map,
→ 1 : 2,000,000
As we know,
The conversion of kilometer in to centimeter is:
→ [tex]1 \ km = 100,000 \ cm[/tex]
then,
→ [tex]130 \ km= 130,000,00 \ cm[/tex]
hence,
The river will be:
= [tex]\frac{130,000,00}{2,000,000}[/tex]
= [tex]6.5 \ cm[/tex]
Thus the above answer is the appropriate.
Learn more:
https://brainly.com/question/19023195
Find the coordinates of the midpoint of a segment having the given endpoints.
Q(5, 10), R(8, 2)
A(-1.5, 4)
B(7.5, 5)
C(-3, 8)
D(6.5,6)
Answers
Answer:
D(6.5, 6)
Step-by-step explanation:
8-5=3/2=1.5 5+1.5=6.5
10-2=8/2=4 2+4=6
In 1999, the price of unleaded fuel was $1.09. In 2015, the price of unleaded fuel is $1.89. What is the percent change
Answers
Answer:
73.39%Step-by-step explanation:
Initial price
$1.09Later price
$1.89Percent change:
(1.89 - 1.09)/1.09 × 100% =0.7339 × 100% =73.39%Which is equivalent to 12/(323)
Answers
Answer:
38,76
Step-by-step explanation:
Cranberry juice costs $6.30 per quart and apple juice costs $3.60 per quart. Terrence wants to know how many quarts q of cranberry juice he should mix with 4 quarts of apple juice to make cranberry-apple juice. He also wants to sell the juice at cost for $4.50 per quart. Which equation below represents the situation?
Answers
Answer:
$25.20 for the cranberry juice (see explanation)
Step-by-step explanation:
4 quarts of apple juice and 4 quarts of cranberry juice are the simplest amount I can come up with. Meaning: 4 quarts of cranberry juice being $25.20 mixed with the apple juice.
you make a salad and share with friends your sister eats 1/3 of it before they arrive (it is a a and b question pls help)
Answers
Answer:
Sister Is a PIG
Step-by-step explanation:
and Your Friends Gets her Scraps
Need Help!
A line has a slope of 4 and goes through the point (5,−2). What is the equation of this line in Standard Form?
−4x+y=18
4x+y=−18
−4x+y=−18
−4x+y=−22
Answers
Answer:
-4x+y=-22
Step-by-step explanation:
-4x +y= -22 is the equation of this line in Standard Form .
What is in slope-intercept form?
Y = mx + b, which defines a line, is an equation's slope-intercept form.When a line is graphed, its slope, m, and its point of intersection with the y-axis, b, also known as the y-intercept, are shown.To find answers for x, y, m, and b, utilize slope intercept form.m = 4
the point = (5, -2)
the equation of this line
y - y₁ = m ( x - x₁)
y - ( -2 ) = 4 ( x - 5 )
y + 2 = 4( x - 5 )
y + 2 = 4x - 20
y = 4x - 20 - 2
y = 4x - 22
-4x +y= -22
Learn more about slope-intercept form
brainly.com/question/9682526
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