John and Robin like to collect stones. John has n stones, and Robin has 68 stones. Together they have a total of 98 stones, Write an equation to describe this situation.
Answer:
n+68=98 find n (n=30)
Step-by-step explanation:
27 is what percent of 18.75 it is asking for a percent answer I’ve tried 44%, 144, 506.25
Answer:
144%
Step-by-step explanation:
Answer:
144%??
Step-by-step explanation:
thats the answer man
Which equation has a vertex at (0, 5) and focus of (three-halves, 5)?
The equation has a vertex at (0, 5) and focus of (three-halves, 5) is,
- 6 x + y²- 10 y + 25 = 0
−6x+y² −10y+25=0
What is a parabola?In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point and a line.
Given
The equation of a parabola is x = [tex]\frac{1}{4 \left(f - h\right)} \left(y - k\right)^{2} + h[/tex], where (h,k) is the vertex and (f,k) is the focus.
Thus, h = 0 k = 5, f = 3/2
The standard form is x = [tex]\frac{y^{2}}{6} - \frac{5 y}{3} + \frac{25}{6}x[/tex]
The general form is - 6 x + y² - 10 y + 25 = 0
The vertex form is x = [tex]\frac{\left(y - 5\right)^{2}}{6}[/tex]
The directrix is x = d
To find d, use the fact that the distance from the focus to the vertex is the same as the distance from the vertex to the directrix: [tex]0 - \frac{3}{2} = d - 0[/tex]
Thus, the directrix is x = - 3/2
The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = 5
The focal length is the distance between the focus and the vertex: 3/2
The length of the latus rectum is four times the distance between the vertex and the focus: 6.
The eccentricity of a parabola is always 1.
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Bill baked 16 cookies with 2 scoops of flour. With 4 scoops of flour, how many cookies can Bill bake? Assume the relationship is directly proportional.
Answer:
Let c = the number of cookies
cookies/scoops of flour: 12/2 = c/3
Cross multiply.
2c = 36
c = 18 cookies
Step-by-step explanation:
Answer:
32 cookies.
Step-by-step explanation:
Find how much cookies Bill can bake with just 1 scoop of flour:
2 scoops of flour = 16 cookies
1 scoop of flour = 16 ÷ 2 = 8 cookies
Now, find 4 scoops of flour.
4 scoops of flour = 8 x 4 = 32 cookies
Three-quarters of a number is 15.
Work out four-fifths of the number.
Answer:
16
Step-by-step explanation:
let the number be x , then
[tex]\frac{3}{4}[/tex] x = 15 ( multiply both sides by 4 to clear the fraction )
3x = 60 ( divide both sides by 3 )
x = 20 , then
[tex]\frac{4}{5}[/tex] × 20 = 4 × 4 = 16
Answer:
16
Step-by-step explanation:
let the number be x , then
\frac{3}{4} x = 15 ( multiply both sides by 4 to clear the fraction )
3x = 60 ( divide both sides by 3 )
x = 20 , then
\frac{4}{5} × 20 = 4 × 4 = 16
What is the number of cycles of y=1+10sin(θ−2π/3) between 0 and 2π?
Answer:
D. 2/3
Step-by-step explanation:
Working together, two ants named Aran and Beatrice can build an ant hill in 10 hours. Aran and Charlie can build the ant hill in 12 hours. Beatrice and Charlie can build the ant hill in 15 hours. How long, in hours, will it take to build the ant hill if Aran, Beatrice, and Charlie work together?
Here we have a problem of rates of work, we want to know how long will take the 3 ants to build an ant hill if they work together.
We will find that working together, they need to work for 8 hours.
----------------------------------
Let's start by defining the variables that we will use:
A = rate at which Aran worksB = rate at which Beatrice works.C = rate at which Charlie works.Now let's see the given information:
"Aran and Beatrice can build an ant hill in 10 hours"
This can be written as:
(A + B)*10 h = 1 ant hill
"Aran and Charlie can build the ant hill in 12 hours"
This can be written as:
(A + C)*12 h = 1 ant hill
"Beatrice and Charlie can build the ant hill in 15 hours"
This can be written as:
(B + C)*15 h = 1 ant hill.
Then we have 3 equations:
[tex](A + B)*10 h = 1[/tex]
[tex](A + C)*12 h = 1[/tex]
[tex](B + C)*15 h = 1[/tex]
Where for commodity, I removed the "ant hill" unit.
Now we need to solve this system of equations, to do it, we need to isolate one variable in one of the equations and then replace it on another equation.
I will isolate A in the first equation:
[tex]A = \frac{1}{10h} - B[/tex]
Now we can replace it in the second equation to get:
[tex](\frac{1}{10h} - B + C)*12h = 1[/tex]
Now we can isolate C in the last equation to get:
[tex]C = \frac{1}{15h} - B[/tex]
Replacing that in the above equation we get:
[tex](\frac{1}{10h} - B + \frac{1}{15h} - B)*12h = 1\\\\\frac{1}{6h} - \frac{1}{12h}= 2*B\\\\\frac{1}{2}*\frac{1}{12h} = \frac{1}{24h} = B[/tex]
This means that Beatrice alone would construct the hill in 24 hours.
Now that we know the value of B, we can use:
[tex]C = \frac{1}{15h} - B = \frac{1}{15h} - \frac{1}{24h} = \frac{1}{40h}[/tex]
This means that Charlie needs 40 hours to finish the hill alone.
Finally, we can use [tex]A = \frac{1}{10h} - B[/tex] to find the value of A:
[tex]A = \frac{1}{10h} - B = \frac{1}{10h} - \frac{1}{24h} = \frac{7}{120h}[/tex]
Now if the 3 ants work together, the total rate at which they work is:
[tex](A + B + C) = (\frac{7}{120h} + \frac{1}{40h} + \frac{1}{24h} ) = 0.125 h^{-1}[/tex]
This means that they need to work for the inverse of that rate
[tex]\frac{1}{0.125h^{-1}} = 8h[/tex]
Working together, they need to work for 8 hours to complete an ant hill
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Assume that no variable equals 0
1. c^12•c^-4•c^6
2. b^8/b^2
3. (a^4)^5
4. x^-2y/x^4y^-1
5. (a^2b/a^-3b^2)^-1
6. (x^2y/xy^3)^2
7. 1/2(-5a^2b^3)^2(abc)^2
8. m^7•m^8
9. 8m^3n^2/4mn^3
10. 2^3c^4t^2/2^2c^4t^2
help me please !
Step-by-step explanation:
When you multiply exponents of the same base (variable), add the exponents.
1. The exponents are 12 - 4 + 6 = 14 or c^14
When you divide exponents of the same base, subtract them.
2. 8 - 2 = 6 or c^6
When you raise a power to a power, you multiply the exponents.
3. 4 * 5 = 20 or c^20
When a number is raised to a negative exponent it can be re written like this x^-n = 1/x^n.
4. x^-2 * y / x^4 * y^-1; using the above information, rewrite everything to have positive exponents. If the negative exponent is in the denominator, then it becomes x^n/1
y * y / x^2 * x^4 ; then just add your exponents to simplify
y^2 / x^6
As we said before, a power raised to a power is exponent x exponent.
5. (a^2 * b) ^-1 / (a^-3 * b^2)^-1 ; as before a power raised to a power, multiply the powers.
a^-2 * b-1 / a^3 * b^-2 rewrite this as before, inverting negative exponents. a^3 / a^2 * b^1 * b^2 = a^3 / a^2 * b^3
Simolifynthe new expression to reduce the a variable by subtracting the bottom a^2 from the top a^3 and are left with
a / b^3
Work number 6 like 5, no negative exponents, so there won't be any inversions. Just multiply the outside power times every exponent, then do the division by subtracting exponents of like bases.
When figuring out the problems with constants, treat them like the variables. In number 7 the 5a^2 when raised to the 2nd power would be 5^2*(a^2)^2 = 25 a^4
Im sorry, out of time.
The solution to the system of equations is (-7, 11). true or false
The dimensions of a right rectangular prism are 0.25 m, 0.36 m, and 0.14 m. What is the volume of the prism use the V = 1 x w x h
tony and luke share some money in the ratio 3:7. luke recives £20 more than tony , how much do they receive.
Answer:
$ 30. okkkkkkkpkkpkkkpkdodjei
The measure of an exterior angle of a triangle is 40°. What is the sum of the measures of the corresponding remote interior angles?
Answer:
Remember that the two non-adjacent interior angles, which are opposite the exterior angle are sometimes referred to as remote interior angles. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees
Will mark brainliest! A retailer marks up the price of a coffee mug from $6.25 to $8.77. By what percent did the price increase? Round to
two decimal places
a 28.73%
b 39.68%
c 40.32%
d 45.97%
Answer:
The answer is C, 40.32
Step-by-step explanation:
If you put 6.25 in your calculator times 40.32% you get 2.52. Then you add the 2.52 to 6.25 to get 8.77.
1:Kevin Williams earns a weekly wage of $870. During the most recent week, he worked 47 hours. Gross Pay = $ 2:Charles Joyner earns a biweekly wage of $2,400. During the most recent week, he worked 42 hours. Gross Pay = $ 3:Julio Valdez earns an annual salary of $63,000. During the most recent week, he worked 42 hours. Gross Pay = $ 4:Bridget Stein earns a monthly salary of $7,300. During the most recent week, she worked 58 hours. Gross Pay = $ 5:Betsy Cranston earns a semimonthly salary of $2,100. During the most recent week, she worked 50 hours. Gross Pay = $
Answer:
Step-by-step explanation:
Make D the subject of s=d/t
Answer:
speed = distance/time
Step-by-step explanation:
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0.00002004 and 0.01203000 in scientific notation
Answer:
Below...
Step-by-step explanation:
Scientific Notation:
2.004 × 10-5
Scientific Notation:
1.203 × 10-2
In the top view of the square gem below, TW is the
midsegment of trapezoid SUVX.
Given that UV=10 and SX=6, find TW.
If necessary, round to one decimal place.
V
S
R
If 7 + 3x = 22, then 2x = ?
O 5
O 10
O 12
0 14
og
3
Answer:
10
Step-by-step explanation:
Answer:
2x=10
Step-by-step explanation:
Jennifer buys a 2-liter bottle of apple juice and a 3-liter bottle of orange juice at the market. How many deciliters of juice does jennifer buy in call
Answer:
50 deciliters
Step-by-step explanation:
Given that,
Jennifer buys a 2-liter bottle of apple juice and a 3-liter bottle of orange juice at the market.
Total = 2 L bottle of apple juice + 3 L bottle of orange juice
= 5 L
We need to find how many deciliters of juice does Jennifer buy in all.
Since, 1 L = 10 Deciliter
5 L = 50 Deciliter
So, she will buy 50 deciliters of juice.
Ms. Neeson wants to share $1 equally among 7 students. What fraction of a dollar will each student get?
Answer:
1/7
Step-by-step explanation:
$1, 7 students
simply put 1 over 7 and you've got your fraction.
each student will get 1/7 of a dollar
Quick whoever gives the right answer gets brainliest
Answer:
The independent variable (IV) is the amount of hamburgers
Step-by-step explanation:
The amount of hamburgers influence the sale amount.
This is find the slope but I don’t get it. Whoever answers these two will be marked brainliest please help me I need these done and it’s currently 3 AM
Answer:
m=-2/5
Step-by-step explanation:
Slope is rise over run. In this graph the slope is negative because rise (change in the Y value) is decreasing.
What is the image of the point (8,-6)(8,−6) after a rotation of 180 counterclockwise about the origin?
Answer:
(-8, 6)(-8, 6)
Step-by-step explanation:
The formula for 180 degree rotation is (-x, -y)
In a game, Erin is rolling a fair number cube with faces numbered 1 to 6. Which BEST describes the probability of rolling an even number?
A. impossible
B. equal to the probability of rolling an odd number
C. less likely than the probability of rolling an odd number
D. more likely than the probability of rolling and odd number
Trina is creating a small concrete sidewalk to from her driveway to her front door as seen below. Trina needs to figure out how much to budget for the
How much should Trina budget for concrete?
Use algebraic expressions to describe your steps to find the answer.
Answer
87
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Amanda is decorating you new house. She found a table at Pottery Barn for $425. If the table is 45% off, what will it cost?
I need this ASAP!!!!!!
Answer:
(x, y) = (1, -9)
Step-by-step explanation:
y = -9x
-8x-6y = 46
By substituting the value of y (first equation) into the second equation, we get,
-8x - 6*(-9x) = 46
-8x + 54x = 46
46x = 46
x = 1.
So, y = -9
Find the missing side using special right triangles
Answer:
a=4[tex]\sqrt{3}[/tex], b=2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
tan30=b/6, tan30=1/[tex]\sqrt{3}[/tex]
solve for b, b=6*tan30=2[tex]\sqrt{3}[/tex]
sin30=b/a, sin30=1/2
solve for a, a=4[tex]\sqrt{3}[/tex]
1) 2/7×1/2
2) 5/8×4/5
3) 1/6×2/3
4) 1/3×3/4
5) 1/2×2/3
6) 1/3×2/5
Which terms in the expression 9d2+15d3+11c2+7 have 14c2 as a like term?