Answer:
420:280
Step-by-step explanation:
first you add 3:2 up which comes to 5.
700 divided by 5 = 140.
3:2 means that 3 will get 3 lots of 140 and 2 will get 2 lots of 140.
3x140= 420.
2x140= 280
the ratio is 420:280
Jasmin, Quinn, and Maddy are rock climbing. Jasmin is 42 ½ feet below Quinn. Maddy is 67 ¾ feet above Jasmin. What is Maddy's position compared to Quinn?
Answer:
[tex]25\frac{1}{4}[/tex] feet
Step-by-step explanation:
Given
[tex]Maddy = 67\frac{3}{4}[/tex] above Jasmin
[tex]Jasmin = 42\frac{1}{2}[/tex] below Quinn
Required
Determine Maddy's position relative to Quinn's
From the given parameter, one can easily deduce that Quinn is in between Maddy and Jasmin (See attachment)
Using the attachment as a point of reference;
[tex]z = 67\frac{3}{4}[/tex]
[tex]x = 42\frac{1}{2}[/tex]
The relationship between x, y and z is
[tex]z = y + x[/tex]
Make y the subject of formula
[tex]y = z - x[/tex]
Substitute the values of z and x
[tex]y = 67\frac{3}{4} - 42\frac{1}{2}[/tex]
Convert to improper fractions
[tex]y = \frac{271}{4} - \frac{85}{2}[/tex]
Take LCM
[tex]y = \frac{271 - 170}{4}[/tex]
[tex]y = \frac{101}{4}[/tex]
[tex]y = 25\frac{1}{4}[/tex]
Hence; Maddy's position relative to Quinn's is [tex]25\frac{1}{4}[/tex] feet
1) x² 2(x+y) - y^2
2) x^4+ x^2y^2+ y^4
Answer: 1) Let's simplify step-by-step.
x22(x+y)−y2
Distribute:
=(x22)(x)+(x22)(y)+−y2
=x23+x22y+−y2
Answer:
=x23+x22y−y2
2)Let's simplify step-by-step.
x4+x2y2+y4
There are no like terms.
Answer:
=x4+x2y2+y4
En una clase de 25 alumnos hay 15 cajas de lápices de colores. Cada caja contiene 20 lápices. Queremos que todos los alumnos tengan el mismo número de lápices. ¿Cuántos lápices tendrá cada alumno?
Answer: Each student will have 12 pencils.
Step-by-step explanation:
Given: Total students= 25
Total colored boxes = 15
Total pencils in 1 box =20
Then total pencils in all 15 boxes = 20 × 15 = 300
Now, the number of pencils each students will get = (Number of pencils in all 15 boxes) ÷ (Total students)
= 300÷ 25
= 12
Therefore, Each student will have 12 pencils.
i need help please idk what to do
Answer:
(X - 10, y - 5)
Step-by-step explanation:
Just like walking
A sound system originally priced at $480 is on sale for 20 percent off. The tax on the purchase after the discount id 7.5 percent. What id the total cost of the sound system including tax?
Answer:
$412.80
Step-by-step explanation:
480 x 0.20(20%)=96
480-96=384
384 x .075(7.5%)=28.8
384+28.80=412.80
this is true or false?
Answer:
The multiplication yes don't know about the addition
Step-by-step explanation:
russell bought a CD player that costs $120 before it went on sale for 15% discount. If he paid 5% sales tax on the sale price, how much did russell pay for the cd player?
Answer:
$107.10
Step-by-step explanation:
The original price of the CD player is $120 and we need to take 15% off.
We can find how much we need to subtract by multiplying 120 by .15, which equals 18. Then we can subtract that from 120, to get a sales price of $102.
A shortcut is subtracting 15 from 100 to get 85, and then doing 120*.85 = 102.
From the sales price of 102, there's a 5% tax to add on. 102 * .05 = 5.1
102+5.1 = 107.1
Answer:
$107.10
Step-by-step explanation:
First, find the discount.
Multiply the discount rate, 15% by the price of the CD player, $120
discount rate * price
15% * $120
Convert 15% to a decimal. Divide 15 by 100 or move the decimal place two spots to the left.
15/100= 0.15 or 15.0 --> 1.5 --> 0.15
0.15 * $120
$18
Since it is a discount, subtract $18 from the regular price of $120.
$120-$18
$102
Next, find the tax.
Multiply the tax rate, 5% by the price of the discounted CD player, $102
tax rate * discounted price
5% * $102
Convert 5% to a decimal. Divide 5by 100 or move the decimal place two spots to the left.
5/100= 0.05 or 5.0 --> 0.5 --> 0.05
0.05* $102
$5.10
Since it is tax, add $5.10 to the discounted price of $102.
$102 + $5.10
$107.10
Russell will pay $107.10 for the CD Player after a discount and tax.
A seat on a Ferris wheel is level with the center of the wheel.The diameter of the wheel is 200 feet. Suppose the wheel rotated 60°, causing the height of the seat to decrease. How much closer to the ground is the seat after the rotation
Answer: 86.6ft closer to the ground.
Step-by-step explanation:
The diameter of the wheel is 200ft
Then the radius, half of the diameter, is: r = 200ft/2 = 100ft.
Initially, the seat is at the same level that the center of the wheel.
And the distance between the center of the wheel and the bottom is the radius.
Then the initial position is at an angle of 0° from the x-axis. (where the (0,0) of this axis coincides with the center of the wheel=
Now, the wheel rotates 60°. (downwards, so we actually could use -60° measuring from the positive x-axis)
And thinking in this as a triangle rectangle, where the opposite angle is 60°, we can calculate the displacement in the vertical direction as:
y = sin(-60°)*R
y = sin(-60°)*100ft = -86.6ft
So the seat is 86.6ft closer to the ground.
The seat is [tex]86.6feet[/tex] closer to the ground
The seat will be closer by the height it drops when the Ferris wheel turns downwards by [tex]60^{\circ}[/tex].
The height, and the radius of the Ferris wheel form the opposite and the hypotenuse of a [tex]60^{\circ}[/tex] right-angled triangle. Since the diameter of the Ferris wheel is 200feet, the radius will be 100feet. So we have
[tex]sin60^{\circ}=\frac{opp}{hyp}=\frac{h}{100}\\\\h=100\times sin60^{\circ}\\=100\times 0.8660\\=86.6[/tex]
So the seat is [tex]86.6feet[/tex] closer to the ground
Learn more here: https://brainly.com/question/95152
Represent the following expression using an exponent. 11 × 11 × 11 × 11 A.4 11 B.11 4 C.11 11 D.1 4 Btw these are exponents
Answer:
B. 11 4 (11 with the exponent of 4) because 11 was multiplied 4 times.
Step-by-step explanation:
the side length of a square measures 2 x+1 and the side lengths of a triangle are 2x, 2x, and 3x+10.The square and triangle have the same perimeter. Find the perimeter
Answer:
perimeter = 52
Step-by-step explanation:
side of square = 2x + 1
so first lets find the perimeter of squarep = 4 × s (side)
p = 4(2x +1)............. from the given
p = 8x + 4...... we will come back for this equation
side of trianles = 2x,2x,3x + 10
second lets find the perimeter of trianglep = s + s + s ( all the three sides)
p = 2x + 2x + 3x + 10
p = 7x + 10........we got another equation we will use it later
The question says the perimeter of square and the perimeter of triangle are equal so8x + 4(the perimeter of square we solved before) = 7x + 10(the perimeter of triangle we solved before)8x + 4 = 7x + 10
8x - 7x = 10 - 4
x = 6 ... now lets substitute x
8x + 4
8 × 6 +4
48 + 4
52
the same thing will happen if we substitute for the perimeter of triangle too.
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for any question comment me
The earth experiences 50.000 earthquakes per year. Assuming it is a year with 365 days,find the number of earthquakes per hour
Answer:
0.00570776255
Step-by-step explanation:
there are 8760 hours in a year
divide 50 by 8760
0.00570776255
The number of earth quakes per hour is 5.7077.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
In one year = 50,000 occurs
In one year = 365 days
In 1 day = 24 hour
In 365 days= 8760 hours
So, number of earthquakes occurred in one hour
=50000/8760
=5.7077
Learn more about unitary method here:
https://brainly.com/question/22056199
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What is the slope of the line that passes through the points (8, 7) and (4, 5)
Answer:
[tex] \huge{ \boxed{ \sf{ \frac{1}{2} }}}[/tex]
Step-by-step explanation:
[tex] \star{ \text{ \: Let the points be A and B}}[/tex]
[tex] \star{ \text{ \: Let A( 8 , 7 ) be ( x1 , y 1) and B ( 4 , 5 ) be ( x2 \: , y2 )}}[/tex]
[tex] \boxed{ \sf{ \: Slope = \frac{y2 - y1}{x2 - x1} }}[/tex]
[tex] \mapsto{ \sf{Slope = \frac{5 - 7}{4 - 8} }}[/tex]
[tex] \underline{ \text{Remember!}} : [/tex]The negative and positive integers are always subtracted but posses the sign of the bigger integer
[tex] \mapsto{ \sf{Slope = \frac{ - 2}{ - 4}}} [/tex]
[tex] \mapsto{ \sf{Slope = \frac{1}{2} }}[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: wishes!}[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
In the quadratic formula,
−b±√b^2−4αc/2a, What is
6^2-4ac called? (1 point)
A.Numerator
B.Solution
C.Discriminant
D.Radical
Answer:
C
Step-by-step explanation:
Discriminant : tell us whether there are two solution,one solution, or no solution for the quadratic equation
10b + 18 < 2(4b+2)
Need held
Answer:
Step-by-step explanation:
10b +18 <2(4b +2)
10b +18 <8b +4
10 b - 8b <4 - 18
2b <-16
b <-16:2
b <-8
How many solutions does the equation 3(4h−1)=−4(3h−5) have?
Answer:
Step-by-step explanation:
I don’t want more question
I need help no more stress????
If 5y + 2 = 8/3, what is the value of 5y - 6?
A commercial jetliner hits an air pocket and drops 264 feet. After climbing 151 feet, it drops another 103 feet. What is its overall vertical change?
Answer:
If we take the drops as negatives, and the climbs as positives (the answer will be the absolute value of these) we get:
-221 +174 -156.
When you add these together, you get -203. So the overall vertical change is the absolute value of this, or 203 ft.
PLEASE HELP TIMED SO PLEASE HURRY
Answer:
U got this
Step-by-step explanation:
THIS IS CHEATING
what is 2/4 as a % plz hurry important
Answer: 50%
To convert fractions into a percentage you Divide the Numerator and Denominator.
2÷4=0.5
Since the result came out as a decimal we convert it to a percentage.
As you can see 5 is in the tenth place so that means 0.5 as a percent is 50%
When a car's brakes are applied, it travels 7 feet less in each second than the previous second until it comes to a complete stop. A car goes 28 feet in the first second after the brakes are applied. How many feet does the car travel from the time the brakes are applied to the time the car stops?
Answer:
70feet
Step-by-step explanation:
during the
1st sec it travels 28 ft
2nd sec =28-7=21ft
3rd sec= 21-7=14ft
4th sec= 14-7= 7ft
last sec=7-7=0ft, at this point the car stops.
so altogether it travels 28+21+14+7+0= 70 feet
Factor 20x2 + 35x plz help
Answer:
Step-by-step explanation:
5x(4x + 7)
HELP What is the sum of 1000x and 2000x
Answer:
[tex]\huge\boxed{\sf 3000x}[/tex]
Step-by-step explanation:
Sum is Addition
[tex]\sf 1000x + 2000 x \\\\x ( 1000 + 2000) \\\\x ( 3000) \\\\3000 x[/tex]
Steps to solve:
1000x + 2000x
~Combine like terms
3000x
Best of Luck!
2.
[tex] \sqrt{9} [/tex]
find each square root
Answer:
√3x3
The answer is 3......
0.2 reapiting into fracting
Answer:
the answer would be 2/9
Step-by-step explanation:
0.22222222... =
2/9
Answer:
1/5
Step-by-step explanation:
A 4-cup bottle of shampoo costs $18.36. What is the price per pint?
Answer:
$9.18
Step-by-step explanation:
4 cups = 2 pints. 18.36/2 = 9.18
What is the solution to this equation? 6x+4=4x−2 Enter your answer in the box.
Answer:
-3
Step-by-step explanation:
6x take 4x equals 2x
So it'll be 2x+4=-2
Then you do - 2 take 4 which is - 6
So then it is 2x=-6
-6÷2=-3
Hope this helps you :)
Answer:
x=-3
Step-by-step explanation:
6x+4=4x-2
Subract the x on the right side on both sides
Equation should now be:
2x+4=-2
Now subtract the 4 from both sides
The equation is now:
2x=-6
Now all you have to do is divide the x on both sides
Your answer is now x=-3
After school activities activity number student Spanish club 19 baseball 24 drama 15 homework help 17 soccer 20 which ratio compares the numbers of students to Spanish clubs in the the total number of students
Answer:
19:95
Step-by-step explanation:
Spanish club have 19 students
Baseball have 24 students
Drama have 15 students
Home work help have 17 students
Soccer have 20 students
The first step is to calculate the total number of students
= 19 + 24 + 15 + 17 + 20
= 95 students
Since the Spanish club have 19 students and the total number of students is 95 then, the ratio which compares the number of students in Spanish club to the total number of students is 19:95
Answer: 19:95, 19 to 95, or 19/95. They all equal the same so it depends which one is your option. ORDER OF RATIO MATTERS!!
Explanation: The students in the Spanish club are 19 and to find the total number of students, you add 19 + 24 + 15 + 17 + 20 which equals 95. Then you put 19 first then 95. This is because it asked to compare the number of students in the Spanish clubs (so this is first) to the the total number of students (so this is second).
Which equation shows the inverse property of multiplication? 4 + (-4) = 0 -8 + (-3) = -3 + (-8) 2 times one-half = 1 Eight-fifths + 0 = Eight-fifths
Answer:
2 times one-half = 1
Step-by-step explanation:
In order to show a property of multiplication, the equation must involve multiplication. There is only one choice that does.
2 times one-half = 1
__
The multiplicative inverse of a number, multiplied by the number, results in 1, the multiplicative identity element.
Equation C,2 times one-half = 1 shows the inverse property of multiplication. Option C is correct.
What is multiplicative inverse?A multiplicative inverse is a number whose value is equal to 1 when multiplied by the original number.
The left-hand side of the equation is;
LHS = 2 times one-half
LHS = 2×(1/2)
LHS = 2
The right-hand side of the equation is;
RHS =1
If both LHS and RHS are equal and the RHS value is equal to 1 the RHS is the multiplicative inverse of LHS.
Equation C,2 times one-half = 1 shows the inverse property of multiplication.
Hence, option C is correct.
To learn more about the multiplicative inverse, refer to https://brainly.com/question/13715269.
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What is the measure of each angle?
A car travels 420 miles in 6 hours. What is the unit rate?
Answer:
70
Step-by-step explanation:
because 70 times 6 equals 420