Answer:
x=11
mMN=65
mNP=115
mNQP=245
Step-by-step explanation:
10x-45=6x-1
4x=44
x=11
mMN 6(11)-1=65/ 10(11)-45=65
mNP 180-65=115
mNQP 65+115+65=245
Evaluate the following if a = 3,b= -2 and c = 1
a3 - 2bc +5ac
Answer:
28
Step-by-step explanation:
(3)×3 - 2×(-2)×(1) + 5×(3)×(1)
9 - -4 + 15 = 28
Answer:
46
Step-by-step explanation:
Given
a³ - 2bc + 5ac ← substitute values for a, b, c into the expression
= 3³ - (2 × - 2 × 1) + (5 × 3 × 1)
= 27 - (- 4) + 15
= 27 + 4 + 15
= 46
"hypotenuse" of the triangle: if the height is 24 feet and base is 36 feet.
Answer:
43.27
Step-by-step explanation:
(24×24)+(36×36)= 1872
√1872=43.27
Using the Pythagorean theorem:
Hypotenuse = sqrt( 24^2 + 36^2)
Hypotenuse = sqrt(576 + 1296)
Hypotenuse = sqrt(1872)
Hypotenuse = 2sqtt(469) or 43.266
ILL GIVE BRAINLIEST PLEASE HELP ASAP
Answer:
4.4
Step-by-step explanation:
(-7/10 + 0.15) ÷ (-0.125)
(-70/100 + 15/100) ÷ (-0.125)
-55/100/-0.125
-.55/-0.125
4.4
The radius of a regular hexagon is 8 cm.
Find the apothem, perimeter and area
of the regular hexagon.
the measure of the side = of the measure of radius because the regular hexagon have 6 sides = at each others
meaning the measure the perimeter is = 6 times the radius
and the radius = 8cm
so perimeter = 6× 8 cm
perimeter = 48cm
since the apothem is the segment perpendicular to a side thought the center and those segment are not promotional we have the notation as
r square root of 3 divided by 2
r = radius = 8 cm
by apply the formula
8square root 3 divided by 2
so the area will be
since the perimeter is 48cm
and the apothem is 8 square root of 3 divided 2
so the area will be 48 times 8 square root of 3 divided by 2 = 384 square of 3 divided by 2 .
hope that helps.
Sally's age is 2 plus 3 times John's age. Together, Sally and John's age equals 30. How old is Sally?
Answer:
Sally is 23 years old.
Step-by-step explanation:
John's age is completely unknown, so it is known as x
Meanwhile, Sally's age can be represented as 3x+2
The sum of both ages is 30.
So, x+3x+2=30
Combine like terms.
4x+2=30
Subtract 2 from both sides.
4x=28
Divide both sides by 4.
x=7
John is 7 years old.
Sally's age: 3(7)+2=23
Sally is 23 years old.
A fast-food restaurant must apply an 8.5% tax on every sale it makes. How much tax must it charge a customer who purchases a total of $18.50 in food?
Answer: $1.57
Step-by-Step Explanation:
Study.com says: “the formula for calculating the sales tax on a good or service is: selling price x sales tax rate, and when calculating the total cost of a purchase, the formula is: total sale amount = selling price + sales tax,” (study.com, How to Calculate Sales Tax).
So, to find the amount of money they are charging for taxes, we need to use the formula: $18.50 x 8.5%. The selling price is the total sum of the purchase, and the sales tax rate is the percentage number that is apply to every sale as taxes.
Here’s how we solve:
1. To multiply, we first need to change our percentage into a decimal by dividing it by 100. —> 8.5/100 = 0.085
2. Multiply the purchase times the sales tax rate, which is converted into a decimal. —> 18.50 x 0.085 = 1.5725
3. Because money only uses the tenths and the hundredths places, we round up. —> 1.5725 ~ 1.573 ~ 1.57
4. Our answer for the tax amount charged in money is $1.57
Hope this helps!
Please help!! Find the missing length indicated.
11. The ratio of men to women at a track meet is 4:5. If there are 20 men at the meet, use a proportion to determine how many people are at the meet.
Answer:
There are 36 people at the meet
Step-by-step explanation:
if the ratio is 4 men to 5 women it means that every time there are 4 men there will be 5 women so its 4/5
and since we know there are 20 men the equation becomes:
4/5 = x/20
so to make 4/5 have 20 as a denominator we multiply by 4/4.
4/5*4/4 = 16/20
So, now we know there are 16 women.
And 16+20 = 36
Elizabeth has a lot of jewelry. She has four times as many earrings as watches and twice as many necklaces as watches.
- If Elizabeth has 42 pieces of jewelry, how many necklaces, earrings, and watches does she have?
Answer:
6 watches, 12 necklaces, and 24 earrings.
Step-by-step explanation:
turn the number of watches into x
42 = 4x + 2x + x
42 = 7x
x = 6
she has 6 watches, 12 necklaces, and 24 earrings
One of the legs of a right triangle measures 7 cm and the other leg measures 3 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
about 7.6
Step-by-step explanation:
I got the measure of the hypotenuse to be about 7.6 because I did the Pythagorean theorem.
a^2+b^2=c^2
The value of a is the first leg (7cm), and the value of b is the second leg (3cm).
So, 7^2+3^2=58. Next, I found the square root of 58. The square root of 58 is 7.615773106. This value rounded to the nearest tenth is 7.6.
In conclusion, the measure of the hypotenuse rounded to the nearest tenth is about 7.6.
PLZ HELP 100 POINTS PLU BRAINLIEST FOR CORRECT ANSWERS
Answer:
d. x
Step-by-step explanation:
x(2x-1)/2x-1
x/1 since 2x-1/2x-1 cancels
x
How many seconds will it take for the penny to hit the ground?
Answer:
1 second
Step-by-step explanation:
[tex]-16t^2+16=0\\-16t^2=-16\\t^2=1\\t=1[/tex]
HELP ASAP!!? HELP ME PLEASE!! 10 POINTS
Answer:
D) 3x²y
Step-by-step explanation:
The rectangular prism has a volume of 936 cubic inches. Write and solve an equation to find the missing dimension of the prism.
Step-by-step explanation:
A rectangular prism is nothing but a cuboid. Let the length , width and height of the rectangular prism be l, w and h.
We know that volume of a cuboid V = l×w×h
So, l×w×h = 936
So, we can find any dimension of the prism provided the the other two dimensions are given to us.
Find the constant of proportionality.
Use the constant of proportionality to write a unit rate for the data in the table.
Write an equation to represent the relationship between time, t, and distance, d. i will give brainliest if u help
Answer:
see explanation
Step-by-step explanation:
(a)
constant of proportion = [tex]\frac{d}{t}[/tex] ( d is distance, t is time )
Use any ordered pair from the table
Using d = 225 and t = 5 , then
constant = [tex]\frac{225}{5}[/tex] = 45
(b)
Unit rate is then 45 miles per hour
(c)
The equation relating the quantities is
d = 45t
Answer:
(a)
constant of proportion = ( d is distance, t is time )
Use any ordered pair from the table
Using d = 225 and t = 5 , then
constant = = 45
(b)
Unit rate is then 45 miles per hour
(c)
The equation relating the quantities is
d = 45t
Can y’all plz help I will mark u
Answer:
4/8
Step-by-step explanation:
7/8 - 3/8 - 4/8
4/8 + 3/8 = 7/8
n = 4/8
hope this helps
Judy has 100 pencils stored in boxes. If there are 20 boxes, how many pencils must go in each box?
Answer:
5 pencils per box
Step-by-step explanation:
Which graph represents a reflection of f(x) = 2(0.4)x across the y-axis? On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5). On a coordinate plane, an exponential function decreases from quadrant 3 to quadrant 4 and approaches y = 0 in quadrant 3. It crosses the y-axis at (0, negative 2) and goes through (1, negative 5). On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in the first quadrant. It goes through the y-axis at (0, 2) and goes through (negative 1, 5). On a coordinate plane, an exponential function increases from quadrant 3 to quadrant 4 and approaches y = 0. It goes through (negative 1, negative 5) and crosses the y-axis at (0, negative 2).
The graph of g(x) is (a) an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5).
The function f(x) is given as:
[tex]f(x) = 2(0.4)^x[/tex]
The rule of reflection over the y-axis is:[tex](x,y) \to (-x,y)[/tex]
This means that:
[tex]g(x) =f(-x)[/tex]
Substitute -x for x in f(x)[tex]f(-x) = 2(0.4)^{-x}[/tex]
Substitute the expression for f(-x) in the above equation [tex]g(x) =f(-x)[/tex][tex]g(x) = 2(0.4)^{-x}[/tex]
Hence, the graph of g(x) is graph (a)
Read more about function transformation at:
https://brainly.com/question/12619643
Find the length of the hypotenuse of the right triangle.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 34
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: C=34
Step-by-step explanation:
[tex]16^{2} +30^{2} =C^{2} \\\sqrt{C^{2} }+ C[/tex]
Plz help me with this question
Answer:
.24
Step-by-step explanation:
One pack of marbles cost $0.24
1. What type of circle would you use when graphing x≥ 5
A. Open
B. Closed
C. A triangle
D. A square
2.Solve the following inequality x−3>7
A. x>10
B. x<10
C. x>4
D. x<4
Answer:
What type of circle would you use when graphing x≥5: I do not know sorry :(
When graphing x≥5 on a number line, you would point your arrow which way?
:To the right
Solve the following inequality
x−3>7: x>10
Step-by-step explanation:
I did the math :)
Debra and Alexandria can finish a plowing job in two hours if they work together. Debra can do the job in 7 hours by herself. How long would it take Alexandria to finish the same job alone?
Answer:
2 hours 48 minutes
Step-by-step explanation:
Debra=1 plowing job / 7 hours
Debra+Alexandra=1 plowing job / 2 hours
1/2-1/7
=7/14-2/14
=5/14
=1/14/5 (Alexandra can do 1 unit of plowing job per 14/5 hours)
14/5 hour=2 hours 48 minutes (hope hits helps)
Alexandria to finish the same job alone in, 2 hours 48 minutes
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Debra and Alexandria can finish a plowing job in two hours if they work together.
And, Debra can do the job in 7 hours by herself.
Hence, We get;
For Debra = 1 plowing job / 7 hours
Debra + Alexandra = 1 plowing job / 2 hours
Hence, Time to take Alexandria to finish the same job alone is,
= 1/2 - 1/7
= 7/14 - 2/14
= 5/14
= 1/14/5 (Alexandra can do 1 unit of plowing job per 14/5 hours)
= 2 hours 48 minutes
Thus, Alexandria to finish the same job alone in, 2 hours 48 minutes
Learn more about the subtraction visit:
https://brainly.com/question/17301989
#SPJ3
Please please help help please please ASAP
Answer:
false
Step-by-step explanation:
The horizontal axis is the x axis.
I don't really know what your school wants in the blank but here's what I think it is:
The horizontal axis on the coordinate grid is the x axis.
Hope this helps! let me know if its right!
(-5x^6+7x+1)-(8x^2+x-10)
Algebra 1 subtracting polynomials please help
Answer:
-5x^6-8x^2+6x+11
Step-by-step explanation:
(-5x^6+7x+1)-(8x^2+x-10)
Remove parentheses
-5x^6+7x+1-(8x^2+x-10)
-(8x^2+x-10)=-8x^2-x+10
-5x^6+7x+1-8x^2-x+10
Simplify
-5x^6-8x^2+6x+11
hello please help i’ll give brainliest
Answer:
Energy from the sun changes liquid water to a gas.
Step-by-step explanation:
Answer:
the 2nd choice
A cylinder with radius 3 feet and height 5 feet is there. What is the volume of the cylinder? Round answer to the nearest hundredth.
Answer:
volume of cylinder
= πr²h
= π×3²×5
= π×9×5
=45π
= 141.37 cubic feet
PLSS HELPP
Find the trigonometric ratio as a fraction Tan N =
Find the trigonometric ratio as a fraction Tan L =
Answer:
Tan N = 4 / 3
Tan L = 3 / 4
Step-by-step explanation:
By Pythagoras theorem,
(LN)² = (MN)² + (LM)²
10² = 6² + (LM)²
100 = 36 + (LM)²
(LM)² = 100 - 36
(LM)² = 64
LM = 8
Tan N
= Opposite / Adjacent
= LM / MN
= 8 / 6
= 4 / 3
Tan L
= 1 / Tan N
= 1 / ( 4 / 3 )
= 3 / 4
Can someone pls help me with this escape room. This is my last question, I just cant figure out the code. Pls help.
Answer:The code is simple the answer is googl
Step-by-step explanation:
Can someone please help meee?
Answer:
c.
Step-by-step explanation:
Will mark brainliest- please help! find x
Answer:
15
Step-by-step explanation:
Assuming x is the length DB
Δ DSR and Δ DBC are similar, so ratios of corresponding sides are equal, that is
[tex]\frac{DB}{DS}[/tex] = [tex]\frac{DC}{DR}[/tex] , substitute values
[tex]\frac{DB}{10}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )
8 DB = 120 ( divide both sides by 8 )
DB = 15
That is x = DB = 15