Given:
The perimeter of a triangle is 59 cm.
The first side is 7 cm shorter than the second side.
The third side is 4 cm less than twice the length of the first side.
To find:
The length of each side.
Solution:
Let x be the second side.
Then, according to the question,
First side = x-7
Third side = 2(x-7)-4
Perimeter of a triangle is the sum of all of its sides.
[tex](x-7)+x+(2(x-7)-4)=59[/tex]
[tex]x-7+x+2x-14-4=59[/tex]
[tex]4x-25=59[/tex]
Add 25 on both sides.
[tex]4x=59+25[/tex]
[tex]4x=84[/tex]
Divide both sides by 4.
[tex]x=21[/tex]
Now,
First sides =21 - 7=14 cm
Second side = 21 cm
Third side = 2(14)-4 = 24 cm
Therefore, the three sides of triangle are 14 cm, 21 cm and 24 cm respectively.
Write the equation in slope intercept form (y=mx+b) of a line that passes
through the points (1,7) and (3,-5).
Answer:
y = -6x +13
Step-by-step explanation:
slope = rise over run
-12 rise for 2 run
slope = -6
y intercept = 13
Select all the expressions.
Answer:
Step-by-step explanation:
2x² - [tex]\frac{1}{2}[/tex] x
x + 2
2x²
[tex]\frac{x}{2}[/tex]
Can someone please help me!
Answer:
7/6
Step-by-step explanation:
There is 7 total bars and only 6 are shaded, therfore your answer would be 7/6. :)
Answer:
6/7
Step-by-step explanation:
6 out of the 7 areas are shaded.
Have a good day!
Having trouble with this one help appreciated
Answer:
The constant of proportionality is 3.50.
Step-by-step explanation:
We know that when y directly varies with x, such that
[tex]y=kx[/tex]
The number 'k' is called the constant of proportionality.
Given the equation
[tex]y=3.50x[/tex]
as
[tex]y=kx[/tex]
so
[tex]k=3.50[/tex] ∵ [tex]y=kx[/tex]
Here the value of k = 3.50, which is the constant of proportionality.
Therefore, the constant of proportionality is 3.50.
The varsity club wants to make 1000 dollars for a NYC trip. They are selling t-shirts for 9.00 dollars each. The fee for printing lancers logos is 30 dollars if the number of t-shirts is represented by x write and solve an inequality to find the number of t-shirts they have to sell in order to reach their goal
Answer:
26
Step-by-step explanation:
Given that:
Target amount for NYC trip = $1000
Cost of T - shirt = $9 each
Logo printing fee = $30
Number of T - shirts = x
Number of T - shirts to be sold in other to reach their goal :
[(Cost of logo + Cost of T shirt) * number of shirts sold] ≥ target amount
[($30 + $9) * x] ≥ $1000
$39x ≥ 1000
x ≥ 1000/ 39
x ≥ 25.64
Hence, they have to sell at least 26 t shirts with logo printed to raise $1000
One root of is x = 2. What are all the roots of the function? Use the Remainder Theorem. x = 2, x = 3, or x = 4 x = –2, x = –3, or x = –4 x = 1, x = 2, x = 3, or x = 13 x = –1, x = –2, x = –3, or x = –13
Answer:
A. x = 2, x = 3, or x = 4
I got 100%
Answer:
A
Step-by-step explanation:
Because the guy above me is correct
42 pushups in 3 minutes in a unit rate
Answer:
14 per minute
Step-by-step explanation:
42 / 3
pleaseeee helpppp :(((((
Answer: With what??? I don't see nun
Answer:
I do not see any files or papers attached.
Step-by-step explanation:
please need this asap!! will give brainliest and a thanks to fast answers :)
Answer:
15 days
Step-by-step explanation:
Answer:
27 days
Step-by-step explanation:
What is 230% of 90?
A 207
B 237
C 320
D 227
Answer:
207 or option a is the answer
Answer:
Option A) [tex]207[/tex]
Step-by-step explanation:
[tex]230\%[/tex] can be written as [tex]\frac{230}{100}[/tex] which is equivalent to the decimal form [tex]2.3[/tex]. The word of indicates that you will need to use the multiplication operation:
[tex]230\%[/tex] of [tex]90 = 2.3\times90[/tex]
[tex]= 207[/tex]
∴ [tex]230\%[/tex] of [tex]90[/tex] is [tex]207[/tex].
Hope this helps :)
PLSS HELP ASP Nick bought raffle tickets to try to win a prize. He paid $3.00 for $12 tickets.
What is the cost per raffle ticket?
A $0.20 per ticket
B $0.25 per ticket
C $4.00 per ticket
D $5.00 per ticket
Answer:
c.
Step-by-step explanation:
$4 a ticket
12÷3=4
I hope this was helpful
Jon owns a hamburger stand. He creates a function for the number of dollars in his register (d) in relation to the number of hamburgers (h) he sells. d=3h+8 How much does he charge for a hamburger? 1 dollar 1 dollar 2 dollars 2 dollars 3 dollars 3 dollars 8 dollars
Answer:
The amount charged for a hamburger is $11
Step-by-step explanation:
The function relating the amount d charged with the number of hamburgers is;
d = 3h + 8
The amount charged for a hamburger can be calculated by substituting the value 1 for h
Thus, we have;
d = 3(1) + 8 = $11
help me pleaseee!!!
the correct answer will get brainly!!
This for algebra 1
A two umn table with 5 rows. The first column, x, has the entries, negative 2, 0, 2, 4. The second column, y, has the entries, 6, 3.5, 1, negative 1.5. Which equations represent the data in the table? Check all that apply
Answer
A.y-6=-5/4(x+2)
D.y-1=-5/4(x-2)
E.y-3.5=-1.25x
Step-by-step explanation:
The equation which represents the data values given in the table written in slope - intercept form is y = - 1.25x + 3.50
The data given :
X ____ Y
-2 ____ 6
0 ____ 3.5
2 ____ 1
4 ____ - 1.5
We could represent the equation in the form :
y = bx + cb = slope = Rise / Run
b = slope = Rise / Run c = intercept
From the table :
Slope = (y2 - y1) ÷ (x2 - x1) = (6 - (-1.5)) / (-2 - 4) = 7.5/-6 = -1.25
Using any pair of (x, y) values, we can obtain the intercept value :
Using ; (2, 1)
1 = -1.25(2) + c
1 = - 2.50 + c
1 + 2.50 = c
c = 3.50
Therefore, the equation becomes ; y = - 1.25x + 3.50
Learn more :https://brainly.com/question/18405415
a pickup truck travels 45 Mi on 2 and 1/3 gallons of gas how far did it travel on 1 gallon of gas
The pickup truck travels 19[tex]\frac{2}{7}[/tex] Miles in gallon.
What is Unit rate?A unit rate means a rate for one of something.
Given that a pickup truck travels 45 miles on 2[tex]\frac{1}{3}[/tex] gallons of gas,
Since there are 45 miles in 7/3 gallons
So, 45*3/7 in one gallon = 19[tex]\frac{2}{7}[/tex] Miles in one gallon
Hence, The pickup truck travels 19[tex]\frac{2}{7}[/tex] Miles in gallon.
For more references on unit rate, click;
https://brainly.com/question/11258929
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A box of rice costs $2.99 for 62 oz. What is the unit cost for 1 oz?
Answer:
0.04
Step-by-step explanation:
set up a proportion!
sorry if its sloppy, i did this on my laptop :/
Answer:
.48 cents for 1 oz
Step-by-step explanation:
You first take the 2.99 and divide by 62 to get your amount for 1 oz
The question is, "Find the volume of the bodies given in the figures below, which have a hole along their entire length." How do I measure it the volume in this case?
As you can see, height is 9cm, length is 12, and width is 18 .
Answer:
1782 cm³
Step-by-step explanation:
First, you measure the volume of the cuboid as a whole which is length x breadth x height, 9 x 12 x 18 = 1944 cm³. Then measure the volume occupied by the space, 3 x 3 x 18 since the hole runs along the entire length = 162 cm³.
Then you subtract the volume occupied by the hole from the volume of the cuboid in total, 1944 - 162 = 1782 cm³
The land John owns covers an area of 2.17 x 104 square miles. The land Sam owns covers an area of 5.34 x 103 square miles. About how many times greater is the area owned by John than the area owned by Sam?
Answer:4.064 times
Step-by-step explanation:
Step 1
Area of Land owned by John =2.17 x 104 square miles
Area of Land owned by Sam= 5.34 x 103 square miles.
When we say about how many times is a quantity greeter than the other we mean that how much is the smaller quantity contained in the larger quantity. and in such cases, we divide.
Area of Land owned by John/Area of Land owned by Sam
=2.17 x 104 square miles/ 5.34 x 103 square miles
=21,700 square miles /5,340 square miles
=4.064 times
Therefore we say that John's owns an area of land by 4.064 times Sam's land.
Nathan writes an essay with a total of 583 words. Every line of his essay has 11 words.
How many lines long is Nathan's essay?
Answer:
53 lines
Step-by-step explanation:
You would divide 583 by 11, and that would get you your final answer of 53 lines.
Answer:
53 lines
Step-by-step explanation:
11 words → 1 line
583 words → (1/11 x 583) lines = 53 lines
Plz help
What is the length of side X if two similar rectangles have the following measurements?
Rectangle 1:6 ft by 10 ft
Rectangle 2: 3 ft by X ft
please help me with this thank you
Jane will save more than Mariah.
Josh and Corey met up for lunch. When they were done, Josh traveled 8 blocks east and Corey traveled 4 blocks west. How many blocks away from Josh was Corey?
Answer:
12
Step-by-step explanation:
Since they traveled in opposite directions, we would add the 2 numbers!
8+4=12.
What is the equation of a line that has a slope of -5 and passes through the point (0, 2)?
1. y = 2x - 5
2. y = -5x
3. y = -5x + 2
Answer:
y=-5x+2
Step-by-step explanation:
y-y=m(x-x¹)
y-2=-5(x-0)
y-2=-5x+0
+2 +2
y=-5x+2
Answer:
y = -5x + 2
Step-by-step explanation:
line of best fit - scatter plot questions
Answer:
d
Step-by-step explanation:
the answer is d cause you can get it later if you know what I mean
The mean age of five people in a room is 24. One of the people (age 40) leaves the
room. The mean age of the remaining four people is
Answer:
thxss for the points love
Step-by-step explanation:
kisses
Answer:
16
Step-by-step explanation:
Norman purchased 3.5 lb. Of his favorite mixture of dried fruits to use in a trail mix. The total cost was $16.87. How much does the fruit cost per pound?
Answer:
$4.82
Step-by-step explanation:
Given that:
The total cost of the fruit is $16.87
And Norman purchased 3.5 lb of his favorite mixture of dried fruits.
The cost of the fruit per pound can be calculated by dividing the total cost of fruit by the total amount of pounds of fruit purchased.
i.e.
The cost of the fruit per pound = $16.87/3.5
The cost of the fruit per pound = $4.82
Will give brainliest to right answer!!!
Answer:
f = 2
Step-by-step explanation:
Hope this helps you! :3
Answer:
f = 2
Step-by-step explanation:
2+1.25f = 10 - 2.75f
Add 2.75f to both sides
2 + 4f = 10
Subtract 2 on both sides
4f = 8
Divide by 4 on both sides to isolate the variable f
f = 8/4
f = 2
Angl is a square. The equation of line NG is Y= 1/2 X - 6. Find the equation of line LG in slope intercept form given that the coordinates of L are (-5,1)
Answer: y=-2x-9
Step-by-step explanation:
If ANGL is a square, then NG and LG are adjacent sides.
Adjacent sides are perpendicular. [Each angle is 90°]
The equation of line NG is [tex]Y=\dfrac12 X-6[/tex].
By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)
slope =[tex]\dfrac12[/tex]
Let slope of LG be n, then
[tex]n\times \dfrac{1}{2}=-1[/tex] [Product of slopes of two perpendicular line =-1]
[tex]\Rightarrow n=-2[/tex]
Equation of a line passes through (a,b) and have slope m is given by :-
[tex](y-b)=m(x-a)[/tex]
Equation of LG :
[tex](y-1)=-2(x-(-5))\\\\\Rightarrow\ y-1=-2x-10\\\\\Rightarrow\ y=-2x-9[/tex] [In intercept form]
$330 is 12% less than the cost last year. Calculate the cost last year.
Answer:
just look that up and walla insta answer
Directions - Convert each equation to slope intercept form.
A) 2x + 2y = 10
B) 12 + 4y = -44
Answer: y=-x+5 and y=-14 [tex]2x+2y=10 subtract 2x from both sides\\2x+2y-2x=10-2x \\2y=10-2x divide both sides by 2\\y=5-x rewriting using the commutative property\\y=-x+5[/tex]
Step-by-step explanation:
Slope Intercept form is y=mx+b
Equation A: