Step-by-step explanation:
I hope the picture is clear enough.
Answer:
Ron to Bill = 67 yd
Bill to John = 30 yd
Total number of yards = 97 yd
Step-by-step explanation:
See the figure below.
Use the Pythagorean theorem to find the distance from Ron to Bill.
a² + b² = c²
60² + 30² = c²
c² = 3600 + 900
c² = 4500
c = √4500
c = 67
Ron to Bill = 67 yd
Bill to John = 30 yd
Total number of yards = 97 yd
A t-shirt increased in price by 1/4. After the increase, it was priced at £65. What was the original price of the t-shirt?
Answer:
52
Step-by-step explanation:
Given:
1/4
Price at 65
Solution:
Let x be the original price
Based on the given conditions, formulate: [tex]x[/tex] ×[tex](1+\frac{1}{4} )=65[/tex]
Apply Multiplicative Distribution Law: [tex]x+\frac{x}{4} =65[/tex]
Multiply both sides of the equation by the common denominator: [tex]x[/tex]×[tex]4+\frac{x X4}{4} =65 X 4[/tex]
Reduce the fraction: x×4+x=65×4
Multiply the monomials: 4x+x=65×4
Combine like terms: 5x= 65×4
Calculate the product or quotient: 5x= 260
Divide both sides of the equation by the coefficient of variable: x = [tex]\frac{260}{5}[/tex]
Calculate the product or quotient: x = 52
get the result: x = 52
Answer: x = 52
if 2y - 7 = 18 what is the value of 2y + 3
Solve the math problem
P.S you don’t have to do number one
Answer:
solve for p: 3p-2=2p/5+p-2/3
Calculate the perimeter
Answer:
48m
Step-by-step explanation:
12m - 4m = 8m / 2 = 4
12m + 4m + 4m + 4m + 4m + 8m + 8m + 4m = 48
Find the length of the hypotenuse of a right triangle where the perpendicular sides are 3 in. And 4in. In length
Answer:
5 inches
Step-by-step explanation:
To find the hypotenuse or any side of a right triangle, use the Pythagorean theorem. This is [tex]a^2+b^2=c^2[/tex] where a and b are the perpendicular sides and c is the hypotenuse. So, plugin 3 and 4 for a and b. This gives 9+16=c^2, which is equal to 25=c^2. Then, take the square of both sides to get c=5.
Another way to solve this is to know the triples. Triples are right triangles that have integers for all of their sides. The triple 3,4,5 is the smallest and most common triple.
2) Solve 5x-3 = 7.
A. Model 5 3 x- = 7.
B. Perform the step to have the variables (circles) alone on one side.
C. Write the resulting step.
D. Divide the variables (circles) and numbers (squares) into equal groups.
E. Show the value of one group
help me on maths asap
Answer:
x= 105°
Step-by-step explanation:
one interior angle of a hexagon is=120°
one interior angle of an octagon is=135° 360-255= 105
The size of the angle between the two regular polygons, marked x, is: 105°.
Interior Angle of a Regular PolygonAn interior angle of a regular polygon = [(n - 2)180]/n.Octagon has 8 sides, while hexagon has 6 sides.Thus,
x° = 360 - sum of one interior angle of the regular octagon and hexagon.
One interior angle of octagon = [(8 - 2)180]/8 = 135°
One interior angle of hexagon= [(6 - 2)180]/6 = 120°
x° = 360° - 135° - 120°
x° = 105°
Therefore, the size of the angle between the two regular polygons, marked x, is: 105°.
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Which expression is equivalent to 2^3/2^-8
Answer:
[tex]2^{11}[/tex]
Step-by-step explanation:
Key indices rule: When dividing powers, subtract the indices and keep the base numbers constant.
[tex]\frac{2^{3} }{2^{-8} }[/tex] Based on the rule above, the indices are determined by 3--8, which is 11.
The base number is kept constant.
Therefore, the answer is [tex]2^{11}[/tex].
If you start off with 1220 and you take away 100 then add 50 how much do you have
1220 - 100 = 1120
1120 + 50 = 1170
Answer: 1170
Answer:
1170
Step-by-step explanation:
HI hope you have a wonderful day.
if 5 pens cost £4 what is the cost of 1 pen
Answer:
/the cost of 1 pen is $2
Step-by-step explanation:
sana makatulong
Answer:
Step-by-step explanation:
5 pens=4euros
1 pen=`x
4 euros=5x
0.8 euros=x
1 pen = 0.8 euros
1.
7x(x-2y)
(2+1)(+5)
Step-by-step explanation:
7x(x - 2y)
= 7x.(x - 2y)
= 7x² - 14xy
= (2 + 1)(+5)
= (3)(5)
= 3 × 5
= 15
Step-by-step explanation:
1) 7x(x - 2y)
= (7x . x) - (7x . 2y)
= 7x² - 14xy
2) (2 + 1)(+5)
= 3(+5)
= (3 . +5)
= (3 . 5)
= 15
The Quadratic equation y=0.5(x-1)(x-n) has an x - intercept at (1,0) and a vertex at (-2,4.5). what is the value of n A -5 B -2 C 2 D 5
Step-by-step explanation:
the point being that a quadratic equation has 2 x-intercepts (or solutions of x for y = 0).
the advantage of this nice form the equation is written in is, that we see immediately both conditions, when y can be 0 : one of the bracket expressions must be 0.
so, the point (1, 0) covers (x-1).
we get the solution for (x-n), when we consider that such a quadratic function is simply a parabola and is symmetric around its vertex point.
the x value of the vertex (-2) tells us, that it is 3 units on the left side of the (1, 0) x-intercept point.
due to the symmetry of the curve the second x-intercept point must be even further to the left with additional 3 units distance in x direction.
so, -2 - 3 = -5
and A is the correct answer option.
hm i have tried everything ion know.
Answer:
Step-by-step explanation:
What is the value of y=3x−1 when x=4?
Answer:
11
Step-by-step explanation:
y=(3 x 4)-1
y=12-1
y=11
Answer:
y = 11
Step-by-step explanation:
Substitute the value for x.
[tex]y=3x-1\\y=3(4)-1\\y=12-1\\y=11[/tex]
What is 1 + 7k + k = -7? With work provided
Answer:
k=-1
Step-by-step explanation:
Solve the equation for x.
5x = -60
Answer:
x=-12
Step-by-step explanation:
5x/5=1x = -60/5=-12
x=-12
Answer:
-12
Step-by-step explanation:
5x=-60
Divide both sides by 5 to isolate
X=-12
Does one have a square root????
Answer:
yes
Step-by-step explanation:
The square root of one is 1.000
Answer:
yes the number 1 has a square root and the square root is the number 1
"Four is three times the sum of a number and two."
turn this into an equation
Answer:
4=3(n+2) or if you want the unknown variable to be x, then 4=3(x+2)
Step-by-step explanation:
Four is : 4=
3 times the sum : 3(_+_)
sum of a number and two : n+2
4=3(n+2)
Hello! :)
4=3(z+2)
Explanation:
4 is means 4=
3 times the sum of a number and two. There's a hint that tells us that we should multiply 3 by both the number and two, and here's how we indicate that:
3(z+2)
Let our number be z.
The sum of two numbers means we add the numbers together.
So, our equation looks like this:
4=3(z+2)
Hope it helps you!
If you have any query, feel free to ask!
~An excited gal
[tex]MagicalNature[/tex] here to help
2 √7+3√7
can you guys give me the answer and explanation
Answer:
5[tex]\sqrt{7}[/tex]
Step-by-step explanation:
This is similar to collecting like term in algebra
2[tex]\sqrt{7}[/tex] + 3[tex]\sqrt{7}[/tex]
= (2 + 3)[tex]\sqrt{7}[/tex]
= 5[tex]\sqrt{7}[/tex]
If 2.2 is 1/5 of a fraction, what is 2.8 of a fraction?
Answer:
the fraction of 2.8 is 14/5 u can simplify it bye dividing 14 by 5 and u will get a mixed number
HW 6.7 #11
Find the half-life of an element which decays by 3.418% each day. Hint: use y = ab^t.
First setup the equation for how much element is remaining after each day:
y = a ( 100% - 3.418%)^t
where y is the amount remainig and t is the number of days
We can clean this up by subtracting the percentages and converting that to a decimal:
y = a (0.96582)^t
Now for the half-life, we need to figure out how long until there's half of what we started with. When does "a (0.96582)^t" equal "1/2 of a"
1/2a = a (0.96582)^t
divide by a on both sides and you get
1/2 = (0.96582)^t
take the log of both sides and you get:
log(1/2) = t log(0.96582)
divide both sides by log(0.96582)
log(1/2) / log(0.96582) = t
Throw that into a calculator and you have
t ≈ 19.93
what is the answer to 1/2 + 1/3 =
Answer:
5/6 (decimal form: 0.83)
Step-by-step explanation:
Answer: 0.8333… (numbers keep going)
Step-by-step explanation:
PLEASE HELP!!!
Find the slope of the line graphed below.
Answer:
slope = -8/5
Step-by-step explanation:
m= y2-y1/x2-x1
m=(4-(-4))/(-1-4)
m= 8/-5
Answer:
-8/5
Step-by-step explanation:
HELP! GIVING OUT BRAINLIEST!
find the probability that the sum of 2 randomly chosen numbers (0,1,2,3,4,5,6,7,8,9) is no greater than 10
Answer:
1 po iyan tama iyan trust mr
Use the following figure to answer the questions. Isosceles trapezoids ABCD and WXYZ are similar to each other.
Determine which of the following statements are NOT TRUE for similar isosceles trapezoids ABCD and WXYZ. Select all situations that apply.
Answer:
Step-by-step explanation:
Answer:
AD is not parallel to BC -- they are going opposite directions
AD does not equal DC -- there is nothing saying that they are congruent in length
YX is not parallel to ZW -- they are going opposite directions
A place kicker expects to make 75% of his field goal attempts this season.If he attempts 36 feild goals this season how many is he exspected to make? show your work
Answer:
27
Step-by-step explanation:
75 % of 36 is 27. The place kicker expects he that will make 27 field goals. 36 − 27 = 9 The place kicker expects that he will miss 9 field goals.
a fishery produced a total of 9801 tons of fish in a year. if the had 3856 tons tuna fish already produced how much remaining fish produced? find the reasonable estimate
Answer:
Step-by-step explanation:
9801 - 3856 = 5945
Rewrite the equation below so that it does not have fractions.
3/4x-5=3/8
Do not use decimals in your answer
Answer:
6x-40=3
Step-by-step explanation:
3/4 x -5 =3/8
Multiply each side by 8 to get rid of the fractions.
8(3/4x -5 ) =8*3/8
Distribute
6x-40=3
_________
[tex] \: [/tex]
[tex] \frac{3}{4} x - 5 = \frac{3}{8} [/tex]
[tex] \frac{3}{4} x = \frac{3}{8} + 5[/tex]
[tex] \frac{3}{4} x = 5 \frac{3}{8} [/tex]
[tex] \frac{3}{4} x = \frac{43}{8} [/tex]
[tex]x = \frac{43}{8} \times \frac{4}{3} [/tex]
[tex]x = \frac{172}{24} [/tex]
[tex]x = \bold{7 \frac{1}{6}} [/tex]
Determine the slope and y-intercept of the linear function represented by the following scenario: Brooke and her friends decide to go bowling. The cost for the group is $15 for shoe rentals plus $4.00 per game.
The slope of the given scenario will be 4.
The y - intercept of the given scenario will be 15.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The cost for the group is $15 for shoe rentals plus $4.00 per game.
Now,
Let number of games = x
And, Total cost of the bowling's = y
Here, The cost for the group is $15 for shoe rentals plus $4.00 per game.
So, We can formulate;
⇒ y = $4.00x + $15
⇒ y = 4x + 15
Compare with the standard form of equation of line y = mx + c, we get;
⇒ Slope = 4
And, The y - intercept = 15
Thus, The slope of the given scenario will be 4.
The y - intercept of the given scenario will be 15.
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please help me if you can if your going to say I'm cheating i don't care cause i know I'm not thanks!!
Answer:
13.9 sorry if I'm wrong just trying to help.
Step-by-step explanation:
first plug in your numbers
a*2+ b*2= c*2
12*12= 144
7*7=49
144+49= 193
square root of 193: 13.89244399
rounded to nearest tenth is 13.9