Answer:
Reflection about the vertical line x = 2.5 inches will map the square unto itself
Step-by-step explanation:
The given parameters are;
The area of the square = 25 in²
The orientation of the sides of the square are horizontal and vertical
Therefore, we have;
The area, A, of the square given by the following relation;
A = Side²
A = 25 in²
Therefore;
The area of the square = 25 = side²
The length of the sides of the square = √A = √25 = 5
The length of the sides of the square = 5 inches
The reflection of a figure that maps the figure unto itself is a reflection along the line of symmetry
One of the line of symmetry that divides the square into two similar halves is the vertical straight that passes half way through the horizontal side, which is the point 2.5 inches to the right on the x-axis with the coordinates (2.5, 0)
Therefore, reflection about the line x = 2.5 inches will map the square unto itself.
If (-3)^5 = 1/x, what is the value of x?
Step-by-step explanation:
(-3)^5 = 1/x
x = 1 ÷ (-3)^5
x = 1/ -243
x = -1/243
What is the solution for x in the equation? 4x − 3 + 5 = 2x + 7 − 8x
A. x = 2
B. x=1/2
C. x = -2
D. x = -1/2
Answer:
1/2
Step-by-step explanation:
Which operation should you perform first when you simplify 175 − ( 8 + 45 ÷ 3 ) × 7?
Answer:
Divide 45 and 3
You should get 15
Add 15 to the eight
You should have got 23
Multiply 23 and 7
You should get 161
subtract it from 175
you should get 14
The length y of a rectangle is four less than three times the width x. The perimeter of the rectangle is 16 cm.
Answer:
y = 1 cm
x = 7 cm
Step-by-step explanation:
x = 3y + 4
perimeter = 2 * ( y + x ) = 16
x + y = 8 by using x = 3y + 4
y + 3y + 4 = 8
4y = 4
y = 1
1 + x = 8
x = 7
y = 1 cm
x = 7 cm
Calculators cost $40 each at Tech Central. How many calculators can Mrs.Robinson buy for her class with $1,000 if the tax on each calculator is 0.30? Write an equation.
Answer:
24
Step-by-step explanation:
TRUST
Can someone help me please?
Find the x- and y-intercepts of the graph of the linear equation 3x+6y=24.
Answer:
y=0,4 and x=8,0
The x and y-intercept of the linear equation 3x + 6y = 24 will be (8,0) and (0,4) respectively.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given linear function,
3x+6y=24
At x-intercept, y = 0
3x = 24
x = 8 thus it will be (8,0).
At y-intercept , x = 0
6y = 24
y = 4 thus it will be (0,4)
Hence "The linear equation 3x + 6y = 24 will have x-intercepts of (8, 0) and (0, 4) correspondingly".
For more about the linear function,
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FIRST TO ANSWER GETS BRAINLIEST & POINTS
should be m1 = F*d2/(G*m2)
Number 8 please!!!!!!
Answer:
the answer is a= -20
can you also please mark me as brainliest?
thanks
Given m angle7=38^ and m angle10=102^ find the measure of each missing angle
please show work to help me
[tex]\angle 1 = 78\\\angle 2 = 102\\\angle 3 = 78\\\angle 4 = 102\\\angle 5 = 38\\\angle 6 = 142\\\angle 7 = 38\\\angle 8 = 142\\\angle 9 = 78\\\angle 10 = 102\\\angle 11 = 78\\\angle 12 = 102\\\angle 13 = 38\\\angle 14 = 142\\\angle 15 = 38\\\angle 16 = 142[/tex]
The measure of the angles will be ∠1 = 78°, ∠2 = 102°, ∠3 = 78°, ∠4 = 102°, ∠5 = 38°, ∠6 = 142°, ∠7 = 38°, ∠8 = 142°, ∠9 = 78°, ∠10 = 102°, ∠11 = 78°, ∠12 = 102°, ∠13 = 38°, ∠14 = 142°, ∠15 = 38°, and ∠16 = 142°
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
The type of angles is given below.
Two angles are said to be supplementary angles if their sum is 180 degrees.If two lines are parallel then the third line. The corresponding angles are equal angles.When two lines intersect, then their opposite angles are equal.The measure of angle 7 is 38°. Angles 7 and 8 are supplementary angles.
∠7 + ∠8 = 180°
38° + ∠8 = 180°
∠8 = 142°
The measure of angle 10 is 102°. Angles 9 and 10 are supplementary angles.
∠9 + ∠10 = 180°
102° + ∠9 = 180°
∠9 = 78°
Then the measure of the remaining angles will be
∠1 = 78°
∠2 = 102°
∠3 = 78°
∠4 = 102°
∠5 = 38°
∠6 = 142°
∠7 = 38°
∠8 = 142°
∠9 = 78°
∠10 = 102°
∠11 = 78°
∠12 = 102°
∠13 = 38°
∠14 = 142°
∠15 = 38°
∠16 = 142°
More about the angled link is given below.
https://brainly.com/question/15767203
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There are 4 pints of green paint in a gallon bucket. The paint is made from equal amounts of yellow paint and blue paint. To create a different shade of green, the mixture needs to be 80% yellow. How many pints of yellow paint need to be added to the bucket to make the mixture 80% yellow? Brandon says to get that shade of green, 6 pints of yellow paint need to be added to the bucket. Bianca says that won't work. In two or more complete sentences, explain who is correct and why. In your explanation, include the calculations to support the correct answer.
Answer:
Brandon is correct.
Step-by-step explanation:
Initially, there id 4 pints of green paint in the bucket.
As the green paint is made from equal amounts of yellow paint and blue paint, so, the initial amount of yellow and blue paint in the bucket is 2 pint each.
Let x pints of yellow paint to be added to the bucket to make the desired shade.
Total amount of the paint in the bucket, after addition of [tex]x[/tex] pints of yellow color become [tex]4 + x[/tex] pint, in which the ampunt of yellow color is [tex]2+x[/tex] pints.
As, the ampunt of yellow color is 80% of the total amount of the mixture, so
[tex](4+x)\times 80\%=2+x[/tex]
[tex]\Rightarrow (4+x)\times \frac{80}{100}=2+x[/tex]
[tex]\Rightarrow 4(4+x)=5(2+x)[/tex]
[tex]\Rightarrow x=6[/tex]
So, 6 pints of yellow paint to be added to the bucket to make the desired shade.
Hence, Brandon is correct.
Answer:
Brandon is correct that the mixture needs 6 more pints of yellow paint.
50%(4 pints) + 100%(x pints) = 80%(4 + x pints)
2 + x = 3.2 + 0.8x
0.2x = 1.2
x = 6
Bianca is correct because adding the 6 pints won't fit in the gallon bucket. Adding 6 pints of yellow to the original 4 pints of green is 10 pints, which will not fit in the 1-gallon bucket. (1 gallon = 8 pints)
Step-by-step explanation:
used this for my test and it was right
Each day, Kyle reads 30 pages of a 450-page book. Write a linear equation to represent the number of pages Kyle has left to read after x.
a. Write the linear equation in slope-intercept form.
b. How many days will it take Kyle to finish the book?
Answer:
y=-30x+450
if she reads 30 pages every day it will take 15 days
SOMEONE HELP
how many serving were in the Container?
...................15?
====================================================
Explanation:
5 & 1/3 is the mixed number with 5 as the whole part and 1/3 as the fractional part
Let's convert to an improper fraction
5 & 1/3 = 5 + 1/3
5 & 1/3 = 5*(3/3) + 1/3
5 & 1/3 = 15/3 + 1/3
5 & 1/3 = (15+1)/3
5 & 1/3 = 16/13
The mixed number 5 & 1/3 is equivalent to the improper fraction 16/3
-------------------
Each serving is 7/8 cup
x of these servings is (7/8)x
x is the number of servings in a full container, so
(7/8)x = 16/3
x = (16/3)*(8/7)
x = (16*8)/(3*7)
x = 128/21
x = 6.0952 approximately
x = 6 when rounding to the nearest whole number
So the container is about 6 servings.
A factory produces 150 plastic conponents per hour how many companents does the factory per minute
Answer:
2.5 per minute
Step-by-step explanation:
:)
Answer:
2.5
Step-by-step explanation:
To find the # of components per minute, you must divide the # of components per hour by 60 since there are 60 minutes in an hour
That leaves us with 2.5 components per minute
25 pts! Who wants brainliest? answer this question
Answer:
The answer is 7root 5
Step-by-step explanation:
5*2+1+1= what I know the answer but people need points
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
10+1+1
HELP URGENT!!!!!!!!!!!!!!!!!
Answer:
c=1,1 d=3,1 e=3,3
Step-by-step explanation:
What is tje equation of the function?
Answer:
It is relatively easy to determine whether an equation is a function by solving for y. When you are given an equation and a specific value for x, there should only be one corresponding y-value for that x-value. For example, y = x + 1 is a function because y will always be one greater than x.
Step-by-step explanation:
can someone plz help me with this math equation!
Answer:
[tex]2x^3-7x^2-10x+4+\frac{1}{x+1}[/tex]
Step-by-step explanation:
Hey this is long division polynomials, my work is a little confusing and I see that you do not need to show step so ill skip it.
If you don't understand I recommand search a video on it
<3
Red
A bacteria colony starts with 5 bacteria at the beginning and triples every hour. How would
you write an explicit equation to model this situation?
A. f(x) = 3.5*
B. f(x) = 3x + 5
C. f(x) = 5x + 3
D. f(x) = 5.3%
Answer:
B. f(x) = 3x + 5
Step-by-step explanation:
Initial amount of bacteria N0 = 5 bacteria's
If the triple every hour,
The increase in bacteria in the colony after x hour will be 3*x =3x
x is the amount of hour.
Total amount of bacteria in the colony after x hour will be N0 + 3x
Let f(x) be the total amount of bacteria in the colony after x hour
f(x) = N0+3x
Since N0 = 5
f(x) = 5+3x
Re-arrange
f(x) = 3x + 5
Hence an explicit formula to model the equation is f(x) = 3x + 5
Find the quotient.
42+2 = (-822-2)
Answer:1606
Step-by-step explanation:
Chris earns a fixed amount of money every month. At the end of 2 years, Chris had earned $86,688.
He earned $_____ each year.
He earned $____every month.
12x - 200 + 5x = 72 solve for x
Answer:
x=16
Step-by-step explanation:
12x - 200 + 5x =72
+5x. +5x
17x + -200 =72
+200 +200
17x =272
/17 /17
x=16
1). y= 1/5x + 1
2). y= 1/5x
3). y= 5x - 1
4). y= -1/5x
Use the function g(x) = 175 + 85x to find
the most number of trees that Jamal can grow
without exceeding $525.
you don't want to exceed 525, so you set the inequality to be
[tex]525\geq 175+85x[/tex]
we can think of the max as just
[tex]525=175+85x[/tex]
solve for x
[tex]85x=350[/tex]
[tex]x=4ish[/tex]
(note: always round down so that you don't exceed the max. ex. you could round to 4.11 instead of 4.12. x=4.12 would give you a value greater than 525)
The sum of one nickel and one dime is what fraction of a U.S. dollar?
3/20
15/20
15/10
3/100
Answer:
3/20
Step-by-step explanation:
15 cents is 15/100. Just simplify the fraction :3
Answer:
I guess 3/20 not sure
I am really sorry If I got the answer wrong
How many cups of red paint should be added to 1 cup of white paint?
Answer:
3/7
Step-by-step explanation:
Im pretty sure it's correct
Rachel received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.61 per pound. After buying the coffee, she had $34.34 left on her card. How many pounds of coffee did she buy?
Answer:
6
Step-by-step explanation:
80- 34.34 = 45.66
45.66 ÷ 7.61 = 6
Answer:
6 pounds of coffee
Step-by-step explanation:
80 ÷ (7.61p) = 34.34
80 - 34.34 = 45.66
45.66 ÷ 7.61 = 6
6 pounds of coffee
Question 1*
1 point
For questions 1-5, let f(x) = x2 +6x + 7, g(x) = 8x2 – 2, h(x) = 3x + 4, and
k(x) =
x-3
2x+1
1.
Evaluate f(2) - g(2). k(2)
Given expressions;
f(x) = x² + 6x + 7
g(x) = 8x² - 2
h(x) = 3x + 4
k(x) = x - 3
Find f(2) - g(2). k(2)
f(2) = 2² + 6(2) + 7 = 23
g(2) = 8(2)² - 2 = 30
k(2) = 2 - 3 = -1
Now, f(2) - g(2). k(2) = 23 - (30)(-1)
= 53
The solution to the problem is 53
he theater club is hosting a one-act competition to raise $1,220 for new costumes. It plans to sell tickets for $8 each and would like to earn within $100 of its goal. This is the equation representing this situation, where t is the number of tickets sold: |8t − 1,220| = 100. Type the correct answer in each box. Use numerals instead of words. To earn within $100 of its goal, the theater club needs to sell a minimum of tickets and a maximum of tickets.
Answer:
i think that your suppose to divide add and subtracct.
Step-by-step explanation:
Hope this helps.
Answer:
140
165
Step-by-step explanation:
To solve the absolute value equation, first rewrite the equation as two separate equations equal to -100 and 100:
8t − 1,220 = -100 8t − 1,220 = 100
8t = 1,120 8t = 1,320
t = 140 t = 165
To earn within $100 of its goal, the theater club needs to sell a minimum of 140 tickets and a maximum of 165 tickets.