At the end of a snow storm, Gavin saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 0.5 inches per hour
Answer: 20 hr
Step-by-step explanation:
Given
The depth of accumulated snow is [tex]d=10\ in.[/tex]
Snow is melting at the rate of [tex]r=0.5\ \text{in. per hour}[/tex]
Time taken for complete melting of snow is
[tex]\Rightarrow t=\frac{d}{r}\\\\\Rightarrow t=\frac{10}{0.5}=20\ hr[/tex]
Sari ran for class president. Each student in her class voted one timer Sari won 25% of the student votes
If Sari received 60 votes, how many students voted altogether?
Answer: 240 students
Step-by-step explanation:
25%=60
25*4=100
60*4=240
100%=240
Answer:
240 votes
Step-by-step explanation:
25% - 60 votes
100% - x
x = (100×60)÷25 = 240 (votes)
A clothing store sells all of their jeans for one price and all of their t-shirts for another price. Marisol purchased 2 pairs of jeans and 6 t-shirts for $60. Ernestine purchased 4 pairs of jeans and 3 t-shirts for $75. What is the cost of one pair of jeans and one t-shirt?
Answer:
j = $15
t = $5
Step-by-step explanation:
This question can be solved using simultaneous equation
let the price of t-shirt be represented with t
let the price of jeans be represented with j
From the question, these two equations can be derived
2j + 6t = 60 eqn 1
4j + 3t = 75 eqn 2
multiply eqn 1 by 2
4j + 12t = 120 eqn 3
Subtract eqn 2 from 3
9t = 45
divide both sides by 5
t = 5
Substitute for t in eqn 1
2j + 6(5) = 60
2j = 30
j = 15
In the figure below, mZPSQ = 70° and m_SRQ = 27°.
What is m<PST?
A. 133° B. 40° C. 97° D. 47°
Answer:
273984828kdjsssdjdjdjdjddddeejddfj
Answer:
47
Step-by-step explanation:
First, all triangles' angles add up to 180 degrees. We would first have to figure out the measure of <QSR. To do this, add all angles you know. We have to assume <SQR is 90 degrees since it is aligned with the other triangle. So, 90+27=117. Then, we would do 180-117 to find <QSR since all triangles angles 180 degrees. This is 63. Then, because these triangles are along a 180 degree (straight) line, we would do <PSQ, 70, so 70+63 which equal 133, and then 180-133 since all angles equal 180. This is 47.
Angle 4 and angle _____ are alternate interior angles
Answer: Angle 5
Step-by-step explanation:
The transversal is the line in between the two angles, and they are interior as they are inside two other lines, they are also alternate, thereby making them alternate interior angles.
Answer: 5
hope this helps be nice if its wrong <3
A garden sells soil by weight, rounded to the nearest tenth of a pound, Elizabeth has 43.479 pounds of soil. What is the weight rounded to the nearest tenth of a pound?
Answer: 43.48 Pounds
Step-by-step explanation:
Given
Elizabeth has 43.479 pounds of soil
Rounding off to the nearest tenth of a pound
Consider 79 which occurs after the decimal place
Converting it to 80 as it is nearest to 80
So, we can write 43.479 as 43.48 Pounds
Which values are solutions to the inequality below?
Check all that apply.
Answer:
A. B. D.E.
Step-by-step explanation:
I just put it in a calculator and see if the answer was smaller or equal to 6.
1 point
Picking a marble from a bag with 5 green marbles and 3 blue marbles, not
replacing it, and then picking another marble from the same bag are:
Independent events
Dependent events
Answer:
dependant
Step-by-step explanation:
Find the measures of the angles and arcs identified below
Answer:
∠a = 42.5°
∠b = 87°
∠c = 174°
∠d = 90°
∠f = 131°
Step-by-step explanation:
∠a = 85°/2 = 42.5°
∠b = 360° -110° - 76° = 174°/2 = 87°
∠c = 360° -110° - 76° = 174°
∠d = 90°
∠f = 360° - 101° - (64° x 2) = 131°
What Two pairs of fractions are shown. Which symbol correctly compares 2/3 2/4 each pair of fractions?
Answer:
Greater than symbol.
2/3 > 2/4
Step-by-step explanation:
We have two fractions, 2/3 and 2/4
We then go back to the inequality part of mathematics where we have symbols such as greater than (>), less than (<), and equal to (=).
Of the three inequality symbols, we look and pick at the one that represents best, the fractions we were given.
2/3 and 2/4
With 2/3 being greater than 2/4.
2/3 = 0.67
2/4 = 0.50
Succinctly, 2/3 > 2/4.
x + y = 16
5x - 4y = 12
Answer:
x = 8.44, y = 7.56
Step-by-step explanation:
x + y = 16 (equation 1)
5x - 4y = 12 (equation 2)
(x + y = 16)× 5
(5x - 4y = 12) × 1
9y/9 = 68/9
y = 7.56
Substitute the value of x in equation 1
x + 7.56 = 16
x = 16 - 7.56
x = 8.44
Therefore, x = 8.44, y = 7.56
Answer:
x = 76 / 9 [ 8 (4 / 9) = [tex]8.\bar{4}[/tex] ]
y = 68 / 9 [ 7 (5 / 9) = [tex]7.\bar{5}[/tex] ]
__________________
Step-by-step explanation:
There are several methods that can be used to solve systems but in this situation, it is generally easier to cancel out a variable by adding the system of equations together.
This is how it's done:
x + y = 16
5x – 4y = 12
__________
4 ( x + y = 16 )
+ 5x – 4y = 12
[Multiplying the entire equation by 4 to cancel out the y because 4y – 4y = 0]
___________
4x + 4y = 64
+ 5x – 4y = 12
__________
9x = 76
÷9 ÷9
[Dividing by the coefficient of 9x in x to get x]
______
x = 76 / 9.
_______
Now that we have the x variable, you can simply substitute that quantity into x + y = 16 to solve for y.
So:
x + y = 16
[substituting the value of x into the equation]
(76 / 9) + y = 16
[Creating a common denominator that
can be canceled out]
(76 / 9) + (9y / 9) = (144 / 9)
76 + 9y = 144
[Subtracting 76 from both sides to isolate 9y]
–76 –76
__________
9y = 68
÷9 ÷9
[Dividing both sides by the coefficient of 9y in y to get y]
_________
y = 68 / 9
_________
We can also verify that these variables have the correct value because:
x + y = 16
5x – 4y = 12
→
(76 / 9) + (68 / 9) = 16
5(76 / 9) – 4(68 / 9) = 12
__________________
(76 + 68 / 9) = 16
(380 / 9) – (272 / 9) = 12
___________________
144 / 9 = 16
(380 – 272 / 9) = 12
__________________
144 / 9 × 9 = 16 × 9
108 / 9 = 12
__________________
144 = 144 ✓
108 / 9 × 9 = 12 × 9
_________________
144 = 144 ✓
108 = 108 ✓
$834 at 7.25% for 1 1/2years
simplify by pulling out the GCF from the numerator and the dominator? 6/8
Answer:
3/4
Step-by-step explanation:
The greatest common factor is 2 since 2 divides both into 6 and 8 so 3/4 is the answer since 3x2/4x2
Aleksandra started studying how the number of branches on her tree grows over time. Every 1.51.51, point, 5 years, the number of branches increases by an addition of \dfrac{2}{7} 7 2 start fraction, 2, divided by, 7, end fraction of the total number of branches. The number of branches can be modeled by a function, NNN, which depends on the amount of time, ttt (in years). When Aleksandra began the study, her tree had 525252 branches. Write a function that models the number of branches ttt years since Aleksandra began studying her tree. N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals
Answer:
52(9/7)^t/1.5
Step-by-step explanation:
The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;
Initial number of branches = 52
Increment every 1.5 years = 2/7
N(t) = Initial * (1 + r)^t
t expressed per year = t/1.5
Hence,
N(t) = 52(1 + 2/7)^t/1.5
N(t) = 52(9/7)^t/1.5
i need help plz answer correctly, im giving brainliest and extra points for the 1st person so you better hurry.
Answer:
jsjzjdjdjdkthtabzgbgzbtzngzngzngsnysngsngdjysjysj
Can someone solve for x and y
Answer
Calculator.net
i hope you use this it will help a lot
Find the value of x. Show your work.
Answer:
54=x
Step-by-step explanation:
90=43+(x-7)
47=x-7
54=x
symbolab is great for math equations btw
8 folders cost $25.20. Write an equation to determine the cost of 3 folders.
Answer:
9 dollars and 45 cents
Step-by-step explanation:
First find the price of one folder.
$25.20 divided by 8 = $3.15
Then, multiply by 3.
$3.15 x 3 = $9.45
(I accidentally used 3.18 instead of 3.15. Someone corrected me.)
Answer:
25.20 divided by 8 = $3.15 x 3 = 9.45
Step-by-step explanation:
used a calculator, Hope this helps!
Mark Up: 170%
Sales Price: $202.50
Answer:
$344.25
Step-by-step explanation:
Answer:
546.75$
Step-by-step explanation:
202.5(2.7)=546.75
Annual snowfall in Anchorage, Alaska, is normally distributed with a mean height of 76 inches and a standard deviation of 4.7 inches. What is the probability this year that it will snow between 71.4 and 80.7 inches in Anchorage? 67.75% 54.71% 38.14% 23.22%
Answer:
67.75%
Step-by-step explanation:
Given:
Given that:
µ = 76 ; σ = 4.7
P(x < 80.7) - P(x < 71.4)
Obtain the standardized score, Z ; x = 71. 4
Zscore = (x - μ) / σ
P(x < 71.4) = (71.4 - 76) / 4.7
P(x < 71.4) = - 4.6 / 4.7
P(x < 71.4) = - 0.9787
P(z < 0.9787) = 0.16386
x = 80.7
P(x < 80.7) = (80.7 - 76) / 4.7
P(x < 80.7) = 4.7 / 4.7
P(x < 80.7) = 1
P(z < 1) = 0.84134
0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%
What are the coordinates of the vertex
hii please help i’ll give brainliest!!
Answer:
very top
Step-by-step explanation:
i had a test on it a week ago
pls give brinliest
From the parking lot at red hill shopping center the angle of the top of the hill is about 25 from the base of the hill the angle of elevation to the top of the hill is 55
Answer:
512 ft.
Step-by-step explanation:
From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.
Solution:
Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:
tan 25 = h/(x + 740)
h = (x + 740)tan 25 (1)
tan 55 = h / x
h = x tan 55 (2)
Hence:
(x + 740)tan 25 = xtan 55
0.4663(x + 740) = 1.428x
0.4663x + 345.07 = 1.428x
0.9617x = 345.07
x = 359 ft.
h = xtan55 = 359 tan(55) = 512 ft.
What is the greatest common factor of 45x^3, 24x^2, and 16x?
Answer:
[tex]\huge\boxed{\sf GCF = x}[/tex]
Step-by-step explanation:
Firstly we'll factorize the terms:
45x³ = 3 * 3 * 5 * x * x * x
24x² = 2 * 2 * 2 * 3 * x * x
16x = 2 * 2 * 2 * 2 * x
The factor which is common in all three terms is:
= x
Hence GCF = x
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Find the value of x. Show your work on a piece of paper. 1) 3 12 Х 20
Answer:
x=5
Step-by-step explanation:
3 = 12/4
x = 20/4
x = 5
draw the graph of y=3-1/2x
What value of x is in the solution set of -2(3x + 2) > -8x + 6?
-6
-5
5
6
Answer:
hello as I think the answer is X= 6
Answer:
6
Step-by-step explanation:
Given
- 2(3x + 2) > - 8x + 6 ← distribute parenthesis on left side
- 6x - 4 > - 8x + 6 ( add 8x to both sides )
2x - 4 > 6 ( add 4 to both sides )
2x > 10 ( divide both sides by 2 )
x > 5
The only value on the list greater than 5 is 6
Then 6 is in the solution set
identify the graph of 2x^2 + 4xy + 4y^2 = 0 then find theta to the nearest degree.
Answer: 2x2 + 4xy + 4y2 = 0
2 xx + 4xy + 4yy = 0
...xx + 2xy + y*y + yy = 0
(x + y)^2 + yy = 0
if x is a constant
... 2yy + 4xy - 2xy + xx = 0
(2yy + 4xy + 2xx -2xx) - 2xy + xx = 0
2(y + x)^2 - 2xx - 2xy + xx = 0
2(y + x)^2 - xx - 2xy = 0
2(y + x)^2 - xx - 2xy +yy - yy = 0
(x + y)^2 + yy = 0
x = i*y - y
if x = r cos a
y = r sin a
cos a )^2 + cos a sina + sin a)^2 + sin a)^2 = 0
cos a sin a + sin a)^2 = -1
Step-by-step explanation:
Answer:
Ellipse; -32deg
Step-by-step explanation:
Got it right on Edge
Find (-3/7) divided (-1 1/14)
Answer:
2/5
Step-by-step explanation:
first, we convert the mixed fractions to improper fractions,
[tex]-1\frac{1}{14}=\frac{15}{14}[/tex]
so then we find what [tex]-\frac{3}{7}[/tex][tex]\div[/tex][tex]-\frac{15}{14}[/tex]
[tex]-\frac{3}{7}[/tex][tex]\div[/tex][tex]-\frac{15}{14}[/tex] = [tex]-\frac{3}{7} * -\frac{14}{15}[/tex]
and that equals [tex]\frac{3*14}{7*15}[/tex] , which equals [tex]\frac{42}{105}[/tex]. We can simplify that to 2/5
Sea p(x) = 2x + 4, calcular p(5) + p(2
Answer:
the answer is 7p
Step-by-step explanation:
p(5)+p(2)=7p