Answer:
Step-by-step explanation:
Given parameters:
Dimensions of the equilateral triangle = 6.2cm
Unknown:
Perimeter = ?
Solution:
The perimeter of the triangle is the sum of all its sides;
Perimeter = 3(L) for an equilateral triangle;
Perimeter = 3(6.2) = 18.6cm
to the nearest mm = 19.0cm
In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, and a video game costs $39.99. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?
Answer:
$ 2.30
Step-by-step explanation:
Given that the sales tax rate [tex]= 8\frac{1}{2}\%=8.5\%[/tex]
The cost of the book is $ 12.99.
So, the tax on the book= 8.5% of 12.99
[tex]= \frac {8.5}{100}\times 12.99[/tex]
=1.10
So, the sales tax on the book is $ 1.10.
The cost of the video game is $ 39.99.
So, the tax on the book= 8.5% of 39.99
[tex]= \frac {8.5}{100}\times 39.99[/tex]
=3.30
So, the sales tax on the book is $ 3.40.
The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30
So, the tax on the video game is $ 2.30 more than then tax on the book.
PROBLEM SOLVING You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a
similar garden with a perimeter of 105 feet?
Answer:
5
Step-by-step explanation:
you divide 42 by 2,then get 21 so you divide that by 105 and get 5 :))
Mariah took 4 quizzes in her class during the past month. Her scores were 92, 94, 100, and 83. What was her mean quiz score?
Answer:
Her mean quiz score is 92.25%.
Answer:
92.25
Step-by-step explanation:
Mean is the same as average. Add all the scores together and then decide by the number of scores.
(92+94+100+83)÷4
369÷4=92.25
Find the slope of the line through each pair of points. (9.-14). (8-8)
Answer:
-6
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -8- -14)/( 8 -9)
= ( -8+14)/( 8 -9)
6/-1
-6
Answer:
[tex]\boxed {\tt m= -6}[/tex]
Step-by-step explanation:
The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are the points given.
The points are (9, -14) and (8,-8). Therefore,
x₁=9
y₁= -14
x₂= 8
y₂= -8
Substitute the values into the formula.
[tex]m=\frac{-8 - -14}{8-9}[/tex]
[tex]m=\frac{-8 +14}{8-9}[/tex]
Solve the numerator.
[tex]m=\frac{6}{8-9}[/tex]
Solve the denominator.
[tex]m=\frac{6}{-1}[/tex]
Divide 6 by -1.
[tex]m= -6[/tex]
The slope is equal to -6
On Monday, you run treadmill for 1/2 hour at x miles per hour. On Tuesday, you walk the same distance on the treadmill, at 2 mph slower, and it takes you 3/4 hour.
How many miles did you run on the treadmill on Monday?
Distance = rate * time
Let r = rate
Distance is the same for both runs, so:
.5r = D = 3/4(r - 2)
Distribute (and convert .5):
2/4r = 3/4r - 3/2
Subtract 3/4 r from both sides:
-1/4r = -3/2
Multiply both sides by -4 to get a solitary r:
r = -3 * -4 / 2
r = 3 * 2
r = 6 miles per hour
.5 hours * 6 mi/hr = 3 miles
check:
6 - 2 = 4
3/4 hours * 4 mi/hr = 3 miles
Find the value of X
(5x+4)°+(8x-71)°
Answer:
x = -4/5
Step-by-step explanation:
Solve for x:
(5 x + 4) (8 x - 71) = 0
Split into two equations:
5 x + 4 = 0 or 8 x - 71 = 0
Subtract 4 from both sides:
5 x = -4 or 8 x - 71 = 0
Divide both sides by 5:
x = -4/5 or 8 x - 71 = 0
Add 71 to both sides:
x = -4/5 or 8 x = 71
Divide both sides by 8:
Answer: x = -4/5 or x = 71/8
Tickets to a movie cost $11 for adults and $7 for students. A group of friends purchased 8 tickets
for $76. Write a system of equations to represent the situation. How many adult tickets and
student tickets were purchased
PLEASE HELP ME
Answer:
5 Adult tickets were purchased and 3 student tickets were purchased.
Step-by-step explanation:
5 Adult tickets were purchased and 3 student tickets were purchased.
Step-by-step explanation:
Write the problem as an equation like this
11x+7x=76
Now make an equation for the number of purchased tickets. Let x be adult and y be students.
x+y=8
Rewrite x + y = 8 as y = -x +8
Substitute y = -x + 8 into the first equation for y.
11x+7(-x+8)=76
11x+(-7x)+56=76
solve for 11x+(-7x)
4x+56+76
subtract 56 from both sides
4x=20
Divide both sides by 4
X=5
x + y = 8
5 + y = 8
y = 3
5 Adult tickets were purchased and 3 student tickets were purchased.
5 adult tickets and 3 student tickets were purchased.
What are system equations?
A finite set of simultaneous equations are called system equations.
Let, they purchased x tickets for adults and y tickets for students.
Therefore, system equations are:
x + y = 8 ----- equation 1
11x + 7y = 76----- equation 2
From equation 1, we get: x = (8 - y)
Now, substituting the value of x in equation 2, we get:
11 × (8 - y) + 7y = 76
⇒ 88 - 11y + 7y = 76
⇒ 88 - 76 = 4y
⇒ 4y = 12
⇒ y = 3.
Therefore, putting the value of y in equation 2, we get: x = (8 - 3) = 5.
Hence, 5 adult tickets and 3 student tickets were purchased.
Learn more about system equations here: https://brainly.com/question/24065247
#Tag #SPJ2
Using the ordered pair below, what would be it's new location if it were translated with the rule (x - 4. y + 6)?
Answer:
Where is the ordered pair?
Step-by-step explanation:
please help me!!!!!!!!!!!!
Evaluate the following expression when a = -3, b = 2,c=5, and
d= -4.
5ac - 26
Answer:
-101
Step-by-step explanation:
5ac - 26
5 × -3 × 5 - 26 (since a = -3 & c = 5, you substitute them)
-15 × 5 - 26
- 75 - 26
- 101
I hope this is helpful.
Can some one help me ASAP please
Answer:
5
Step-by-step explanation:
Convert to Standard Form
13-6x-y=0
You are helping to prepare a large kettle of chicken noodle soup. You need to peel 60 carrots. You have peeled 18 carrots already. It has taken you 9 minutes to peel the 18 carrots. How many more minutes will it take you to peel the rest of the carrots?
Answer:
21 minutes
Step-by-step explanation:
60 - 18 = 42
18 carrots ÷ 9 minutes = 2 carrots per minute
42 ÷ 2 = 21
Anyone wanna help?please
Answer:
x=14
Step-by-step explanation:
(8x-4)+(6x-12)=180
14x-16=180
14x=196
x=14
Find x. Give reasons to justify your solution.
Answer:
x = 28
Step-by-step explanation:
Okay COB is vertical to AOB, so we know they equal the same. Right the equation this way.
3x + x + x + 12 = 152 (collect like terms)
5x + 12 = 152 (subtract 12 on each side)
5x = 140 (divide by 5 on each side)
x = 28
(PLUG IN)
3(28) + (28) + (28) + 12 = 152
84 + 28 + 28 + 12 = 152
152 = 152
What single decimal multiplier would you use to decrease by 6% followed by a 19% increase?
Answer: 13% increase?
Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?
Answer:
1.13
Step-by-step explanation:
A 6% decrease would be 0.94 and a 19% increase after that would be 1.13
If f(x) = 2x+ 4, find g(x) = (1/2)f(x).
Evaluate.
please help
me solve this
Answer:
[tex]1[/tex] [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Hope this helps
Answer:
[tex]1 \frac{1}{4} [/tex]
Step-by-step explanation:
[tex] \frac{( - \frac{1}{2} + \frac{3}{4}) }{ \frac{1}{5} }\\ \frac{1}{4} \div \frac{1}{5} \\ 1 \frac{1}{4} [/tex]
what is the absolute value of 2+2i?
Answer:4
Step-by-step explanation:
Answer:
4 or 2
Step-by-step explanation:
The absolute value of the complex number, 2i, is 2.
When you mix two colors of paint in equivalent ratios, the resulting color is always the same.
Use the table below to help you answer the following question.
How many cups of yellow paint should you mix with 1 cup of blue paint to make the same shade of green?
1/2*x=3/4(x-2) what is the answer?
Answer:
x=6
Step-by-step explanation:
1/2x=3/4(x-2)
1/2x=3/4x-1.5 (distribute)
+1.5 +1.5
1/2x+1.5=3/4x
-1/2x -1/2x
1.5=1/4x
6=x
hope this helps
brainliest?
−9(4 − 3j)
A. 36 − 27j
B. 36 + 27j
C. −36 + 27j
D. 36 + j
Answer:
C
Step-by-step explanation:
-9×4
= -36
...
-9 × -3j = 27j
THEREFORE...
-36+27j
8oz./1 cup = ?/12 cups. How many ounces are in 12 cups?
Answer:
12cups=96oz.
Step-by-step explanation:
multiply the volume value by 8
12 oz equals 1.50 cups. 1 ounce is equivalent to 0.125 cups, and there are 1.50 cups in 12 ounces.
There are 1275 ants in 5 anthills how many are in 1 anthill?
Answer:
There are 255 ants in 1 anthill.
Step-by-step explanation:
Do the cross multiplication method. First set the equation as 1275/5 = x/1. Then cross multiply to get 5x = 1275. Divide both sides by 5 to get 255.
1 3/4 cups of flour per 1/8 cup of milk
Answer:
14
Step-by-step explanation:
Divide them.
Solve for x:
3x-3=x-19
Answer: x = -8
Step-by-step explanation: 2x=-16, x=-8
Answer:
-8
Step-by-step explanation:
3x - 3 =x - 19
3x - x =-19 +3
2x =-16
x=-16 :2
x=-8
HELP 50 POINTS!!!!
1. chef lee made a recipe of soup whih yields 30 cups if he puts 1 1/4 cups of soup in each serving how many servings does he have
2. Find the scale factor
Please explain how you got your answer, If you're gonna answer, At-least answer both or don't answer at all. xo
1. Divide total quantity by serving size:
30 cups / 1 1/4 cup per serving =
30/1.25 = 24 servings.
2. Length of side of larger rectangle = 24
Length of side of smaller rectangle = 8
The scale factor of larger to smaller = 8/24 = 1/3
Scale factor is 1/3
what is the equation of a line parallel to y=3x-2 and goes through the point (-1,1)
Answer:
y = 3 x − 29
Step-by-step explanation:
First, let's find the slope of the line
y = 3 x + 2
As the equation is already in slope-intercept form
y = m x + c
Slope = 3
Let a point ( x , y ) be on the new line.
By finding the slope again,
y − 1 x − 10 = 3
y − 1 = 3 ( x − 10 )
y − 1 = 3 x − 30
Which can then be converted to different forms:
Standard form:
3 x − y = 29
Equation form:
3 x − y−29 = 0
Slope-intercept form:
y = 3 x − 29
graph{3x-y=29 [-32.3, 47.7, -34.1, 5.9]}
help i need the question now lol
Answer:
no yes no yes
Step-by-step explanation:
Im pretty sure thats correct
Answer:
no yes yes no
Step-by-step explanation:
hope this help;)
Please answer for brainliest!
Answer:
t>28
Step-by-step explanation: