Answer:
let's convert the 25 yards into feets -> 75 feet of wire.
now let's subtract the alrdy used 15 ½ feet from we that
we got 59 ½ feet left
now let's just take ⅓ of this, just by dividing by 3.
since this seems to be a mess in calculation, let's put in the effort to convert in into inches first.
59 ½ feet = 59½*12 inches = 714 feet
now we should be able to take ⅓ of it cleanly (since we just multiplied by 12)
⅓ of 714 is just as dividing 714 by 3
= 238
the time machine needs 238 inches of wire
this isn't just picking an answer tough, on the bottom of the exercises are the unit conversations
the top says for the first box : Part A Explain how Mrs. Soto could apply the
following theorem to the problem of restoring
the gate to its original rectangular shape.
Answer:
The given theorem proves that the door is not a rectangle right now since, the door came out of shape, it can be proved by the Pythagorean theorem. If the length is set to a certain shape, and the width is set to a certain shape, and drawn to diagonals. If solved by the Pythagorean Theorem, if the length of two diagonals are similar then and only then the door would be a rectangle.
Hope this helps!
Using the information that 6.7 x 52 = 348.4
find the value of
(i) 6.7 x 520
(ii) 67 x 0.52
(iii) 3484/ 5.2
Answer:
1.6.7*520=3484
Step-by-step explanation:
( I).67*0.52
convert that 0.52 to proper fraction
67×13/25=871/25
which is=34.84
(III). 3484/5.2
convert 5.2 to improper fraction ❤️
=52/10=26/5
3484/26/5=3484×5/26=670
If X = 14 units and h = 8 units, then what is the area of the triangle shown above?
Answer:
56 units
Step-by-step explanation:
Let us start by the formula of the area of a triangle, [tex]\frac{b*h}{2}=A[/tex]. A represents the area of the triangle, b represents the base of the triangle, and h represents the height of the triangle.
In this case, we can pretty clearly tell that h represents the height of the triangle and x represents the base of the triangle. We are also given that x=14 units and h = 8 units. Lets plug our values into the equation!
[tex]A=\frac{h*x}{2} \\A=\frac{14*8}{2} \\A=\frac{112}{2} \\A=56[/tex]
Therefore, the area of the triangle is 56 units.
I hope this helps! Please let me know if you have any questions :)
Round 31.24 to 1 decimal place
Round 5.275 to 2 decimal place
Round 0.56489 to 3 decimal place
Answer:
1. 31.2
2. 5.28
3. 0.565
Step-by-step explanation:
Remember if the number is 1-4 round down and if the number is 5-9 round up.
Hope this is helpful
#happylearning
Suppose a city with a population of 700,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 25 years. The population in 25 years will be approximately...?
Answer:
approximately 1,925,000
Step-by-step explanation:
700,000 * 0.07 = 49,000 this would be the growing rate per year.
49,000 * 1,225,000 this would be the population grown in 25 years.
700,000 + 1,225,000 = 1,925000 this would be the total population that was in the city and the population that has grown in the 25 years.
Hope this helps
Ann borrowed $800 for 4 years the yearly interest was 16% how much interest did she owe after 4 years
Answer:
$512
Step-by-step explanation:
Interest = 16% of 800
= 16/100 x 800
= $128
Interest for 4 years = 128 x 4
= $512
Help!! Please also explain how you got your answer
Answer:
y = -½x + 4
Step-by-step explanation:
the line passes point of y-intercept (0, 4) ,
and another point (6, 1)
the slope = (1-4)/(6-0) = (-3)/6 = -½
so the Equation is y = -½x + 4
What is the value of x in the equation?
3(x+6) --18
-36
0-33
-24
0-18
Answer:
x = 0
Step-by-step explanation:
3(x + 6) = 18
distribute
3x + 18 = 18
Subtract 18 from both sides
3x = 0
Divide both sides by 3
x = 0
Carson invested $80,000 in an account paying an
interest rate of 5% compounded continuously.
Makayla invested $80,000 in an account paying an
interest rate of 4% compounded daily. To the
nearest dollar, how much money would Carson have
in his account when Makayla's money has tripled in
value?
Answer:
315881.53
Step-by-step explanation:
We first need to figure out how long it takes for the money to triple
let x= number of years it takes for the money to tirple
[tex]3=(1+\frac{.04}{365})^{365x}\\log_{1.0001}3=365x\\10025.38644=365x\\27.46681216=x[/tex]
Now plug that value into the continously compounding formula
[tex]80000*e^{27.4668*.05}=315881.5314[/tex]
Which rounds to
315881.53
What is the area of a triangle with a base of 7cm and a height of 120% of the base?
Calculate the area
Answer:
29.4 cm^2
Step-by-step explanation:
We can use a proportion to find the height:
120 : 100 = x : 7
x = (120 *7)/100 = 8.4 cm
Area = (base * height)/2 = (7 * 8.4)/2 = 29.4 cm^2
Answer:
29.4cm²
Step-by-step explanation:
First we are going to find 120% of 7.
7 × [tex]\frac{120}{100}[/tex] = 8.4 cm
Therefore, 8.4 cm is the height.
Area = [tex]\frac{1}{2}[/tex] Base × Height
= [tex]\frac{1}{2}[/tex] × 7 × 8.4 = 29.4cm²
The addition Of 5 Times A Number X and 17 ?
Answer:
5x+17
Step-by-step explanation:
5 times a number, X, can be represented as 5x. If we want to add 5x and 17, we can say 5x+17.
Which of the following best describes the graph of the polynomial function
below?
Answer:
Step-by-step explanation:
The given curve crosses the x-axis in two places, (-2, 0) and (0, 0), which are the zeros. This parabolic curve opens up and has its vertex (minimum) at (-1, -1).
Answer: The graph has two zeros.
Step-by-step explanation:
The given graph is the graph of parabola open upward. In the graph of parabola, we will have two solutions since the highest degree of the function is 2.
y = ax^2 + bx + c, where a, b, c are real number and a ≠ 0.
You can see the height degree of the function is 2.
Therefore, there should be two zeros of the function.
According to the given graph of parabola has two zeros at x = -2 and x = 0.
The graph cross the x-axis at x = -2 and x = 0.
Hence, the graph has two zeros.
Answer is A. The graph has two zeros
Question Which of these strategies would eliminate a variable in the system of equations? 2x - y = 11 5x + 3y = -11 How many possible solutions will this system have?
Answer:
Elimination (multiplication and subtraction)
There is 1 solution
Step-by-step explanation:
The only way to solve this system of equations is by elimination (multiplication). Let's say that we want to cancel out the x. You multiply the first equation by 5 and you multiply the second equation by 2.
Your equations now are:
10x-5y=55 and 10x+6y=-22
You can subtract these equations to get -11y = 77.
Now that we know that y = -7, we can substitute y in to solve x.
10x-5(-7) = 55
10x=20
x=2
Final answer (2,-7)
X+3y=6 2x+8y=-12 Solve silmatenous equations
Answer:
[tex]x + 3y = 6 - - - (a) \\ 2x + 8y = - 12 - - - (b) \\ 2 \times (a) - (b) : \\ 0x - 2y = 24 \\ y = 12 \\ x + (3 \times - 12) = 6 \\ x = 42 \\ { \boxed{x = 42}} \\ { \boxed{y = 12}}[/tex]
A school sold a total of 250 tickets to a show. Adult tickets cost $7.25 and student tickets cost $5.50. At the end of the evening the amount of money
collected was $1,602.50. Write and solve a system of equations to determine the number of student tickets sold
В І ца
7.25x+5 5y=1,602.50
1 / 10000 Word Limit
Answer:
The system of equations is:
x + y = 250 (1)
7.25x + 5.50y = 1602.50 (2)
with x = Adult tickets
y= student tickets
Solution
Let's equation (1)
x+y=250
x=250-y (a)
subtitute x in aquation (2)
7.25(250 - y) + 5.50y=1602.50
1812.50 - 7.25y + 5.50y= 1602.50
1812.50 -1.75y = 1602.50
-1.75y = 1602.50 - 1812.50
-1.75y = -210 ↔multiply both sides by (-1) to remove the minus sign
y= 210/1.75
y= 120
Substitute y in equation (1)
x + 120 = 250
x= 250 - 120
x =130
Let's check our results in equation (1)
x + y =250
120 + 130= 250 ↔ 250 = 250
At the end of the evening they 120 students tickets and 130 adults tickets
Step-by-step explanation:
You can check the results in any of the equations
Which set of ordered pairs could be generated by an exponential function?
(1,1), (2,1/2), (3,1/3), (4,1/4)
(1,1), (2,1/4), (3,1/9), (4,1/16)
(1,1/2), (2,1/4), (3,1/8), (4,1/16)
(1,1/2), (2,1/4), (3,1/6), (4,1/8)
Answer:
C
Step-by-step explanation:
y=x(1/2)^x
5) Michelle and Autumn are at a gift shop. They each buy magnets and postcards. Michelle
buys 4 magnets and 6 postcards and spends $24. Autumn buys 2 magnets and 1 postcard and
spends $8. Which system of equation represents this situation? {2 points}
(4x + 6y = 24
a)
2x + y = 8
(4x + 6y = 8
b)
(2x + y = 24
c)
(4x + 2x = 24
y+by = 8
Answer:it has to be A
Step-by-step explanation:
What is the surface area and volume of this shape?
Answer:
894.14 mm^2.
Step-by-step explanation:
i did this.
Determine the equation of the circle in standard form:
x^2+y^2+4x+6y-36=0
Answer:
2. (x+2)²+(y+3)²=49
Step-by-step explanation:
it is possible to re-write the given equation:
x²+4x+4+y²+6y+9-49=0;
(x+2)²+(y+3)²-49=0;
(x+2)²+(y+3)²=7².
Two baseball teams are selling raffle tickets to raise money. One team is selling tickets for $2.50 each and has already raised $200. The other team is selling tickets for 1.50 each and has already raised $250.
Which equation can be used to find t, the number of additional tickets each team needs to sell so that the total amount raised is the same for both teams?
Answer:
hsjnzxiiandmdoqgsshzbx
A car goes to point a to b in 3 hours and b to a in 5 hours. A to b are 150 km away what is the speed o car
Answer:
50km/h
Step-by-step explanation:
Given data
A-B
Time taken= 3 hours
Distance= 150km
B-A
Time taken= 5 hours
We know that
Speed= distance/time
Speed= 150/3
Speed= 50km/h
Hence the speed of the car is 50km/h
Solve for in the diagram below.
(2x + 45°
7
RO
7 -
Answer:
45°
Step-by-step explanation:
The angles should add to 180°. so we can say 2x+45+x=180
3x+45=180
3x=135
X=45°
Answer:
x = 45°
Step-by-step explanation:
The sum of both angles should add up to 180°, because they are supplementary. Supplementary angles is just another way of saying two angles on a straight line. In order to find the value of x:
Given |
[tex]2x + 45 + x = 180[/tex]
2x + x
Combine like-terms. |
[tex]3x + 45 = 180[/tex]
180 - 45
Subtraction Property of Equality. |
[tex]3x = 135[/tex]
135 / 3
Division Property of Equality. |
[tex]x = 45[/tex]
Which is an equation of a direct proportion? CLEAR CHECK y=8x y=12x+4 y=12x y=4x−4
Answer:
[tex]y=8x, \\y=12x[/tex]
Step-by-step explanation:
Proportional functions can be written as [tex]y=kx[/tex], where [tex]k[/tex] is some constant of proportional. Since directly proportional functions always pass through the origin, the y-intercept must be 0 (no additional number before or after [tex]x[/tex] term). The only answers that fit this format are:
[tex]\rightarrow \boxed{y=8x}\\\rightarrow \boxed{y=12x}[/tex]
Answer: Y=8x
Step-by-step explanation:
Please help, will give Brainliest and 40 points!
Answer:
3^12
Step-by-step explanation:
(3^2)^6
6 * 2 = 12
3^12
Calculator check: (3^2)^6 = 531441
3^12 = 531441
Answer:
3^12
Step-by-step explanation:
We know that a^ b^c = a^(b*c)
3^2^6 = 3^(2*6) = 3^12
the question= find the percent of each number
1.) 78% of 160
2.) 12% of 325
also could u put an explanation
Answer:
78 x 160 /100
= 124.8
12 x 325/100
= 39
Step-by-step explanation:
After how many seconds ,t, will the object be 75 meters above the ground
Answer:
It will be above the ground in C
Step-by-step explanation:
|2x+3|=7;2
help pls
Answer:
x = {-5, 2}
Step-by-step explanation:
unfamiliar with the notation 7;2
will solve for |2x + 3| = 7
Solution I - the quanity inside the absolute value is 7
2x + 3 = 7
2x = 4
x = 2
Solution II - the quanity inside the absolute value is –7
2x + 3 = –7
2x = -10
x = -5
-----------------
x = {-5, 2}
True or False:
The value of y in the given equation is 18.
y + 17 = 36
True or false
Answer:
False ..... ....... . . .. ..
In how many year the interest will became equal to the principal is rs.1200 is deposited at the rate of 25% in a bank
Given:
Principal = Rs. 1200
Rate of interest = 25%
To find:
The time in which the interest will became equal to the principal.
Solution:
We have,
[tex]P=1200[/tex]
[tex]r=\dfrac{25}{100}[/tex]
[tex]r=0.25[/tex]
If interest is equal to the principal, then
[tex]Amount=Principal+Interest[/tex]
[tex]Amount=1200+1200[/tex]
[tex]Amount=2400[/tex]
The formula for amount is:
[tex]A=P\left(1+r)^n[/tex]
Substituting [tex]A=2400, P=1200, r=0.25[/tex] in the above formula, we get
[tex]2400=1200(1+0.25)^n[/tex]
[tex]\dfrac{2400}{1200}=(1.25)^n[/tex]
[tex]2=(1.25)^n[/tex]
Taking log on both sides, we get
[tex]\log2=\log(1.25)^n[/tex]
[tex]\log2=n\log(1.25)[/tex] [tex][\because \log a^b=b\log a][/tex]
[tex]\dfrac{\log2}{\log(1.25)}=n[/tex]
[tex]n\approx 3.11[/tex]
Therefore, the interest will became equal to the principal in about 3.11 years.
LAWD please help. I have summer school
Me too. It's the third option. :)
Answer:
I think its the third bubble. Hopefullly this helps. im pretty sure its correct.
Step-by-step explanation:
1st. add rt to both sides so that it cancels out. That should give you xy= s+rt.
2nd. Then divide x from both sides to single out the y. since x is multiplying with y you must use the inverse operation and divide by X. This should leave you with y= (s+rt)÷x