Let the time spent in walking = x minutes
And the time spent in jogging = y minutes
If I walk with the speed = 0.05 miles per minute
Distance covered in walking = Speed × Time
= 0.05x miles
If I jog with the speed = 0.1 miles per minute
Distance covered in jogging = Speed × Time
= 0.1y miles
Since, screen displays the distance covered in walking and jogging = 2.5 miles
Equation for the situation will be,
0.05x + 0.1y = 2.5
5x + 10y = 250
x + 2y = 50 -------(1)
Total time spent in walking and jogging = 30 minutes
Therefore, equation for the situation will be,
x + y = 30 ----- (2)
By subtracting equation (2) from equation (1),
(x + 2y) - (x + y) = 50 - 30
y = 20 minutes
By substituting the value of y in equation (2),
x + 20 = 30
x = 10 minutes
Therefore, time spent in walking is 10 minutes and time spent in jogging is 20 minutes.
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If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if [tex](x-4)[/tex] and [tex](y+3)[/tex] vary inversely, their product will be the same for all values of [tex]x-4[/tex] and [tex]y+3[/tex].
Let [tex]x=8[/tex] and [tex]y=2[/tex] as given in the problem. Substitute values:
[tex](8-4)(2+3)=(4)(5)=20[/tex]
Hence, the maintained product is [tex]20[/tex].
Thus, we have the following equation:
[tex](x-4)(y+3)=20[/tex]
Substitute [tex]y=-1[/tex] to find the value of [tex]x[/tex] when [tex]y=-1[/tex]:
[tex](x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}[/tex]
Solve the formula for the indicated variable.
B = qn + q, for n
Answer:
n=B-q/q
Step-by-step explanation:
Delores works weekends at the local coffee shop. Last weekend, she worked for 7.5 hours on Saturday and 8 hours on Sunday. If she earns $9 per hour, how much did she earn last weekend?
Answer:
So she earned 148 dollars and 50 cents or 148.5
Step-by-step explanation:
What are the coordinates of the quadrilateral WXYZ after it is reflected across the y-axis.
Step-by-step explanation:
the coordinates of the quadrilateral WXYZ after reflected across the y-axis:
W' (3, 4)
X' (-2, 8)
Y' (-4, -4)
Z' (3, -4)
4 (3 + c ) + c = c + 4
what is c?
Answer:
[tex]4(3 + c) + c = 4 + c \\ 12 + 4c + c = 4 + c \\ 12 + 5c = 4 + c \\ 12 - 4 = c - 5c \\ \\ 8 = - 4c \\ c = \frac{ - 8}{4} \\ c = - 2 \\ thank \: you[/tex]
Answer: c = -2
Step-by-step explanation:
Given
4 (3 + c) + c = c + 4
Expand parentheses and apply the distributive property
4 · 3 + 4 · c + c = c + 4
12 + 4c + c = c + 4
Combine like terms
12 + (4c + c) = c + 4
12 + 5c = c + 4
Subtract 12 on both sides
12 + 5c - 12 = c + 4 - 12
5c = c - 8
Subtract c on both sides
5c - c = c - 8 - c
4c = -8
Divide 4 on both sides
4c / 4 = -8 / 4
[tex]\boxed{c=-2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
is the function in the graph non-linear?
Answer:
yeah, because it doesnt have a constant rate of change - if it did, then it would be linear
Step-by-step explanation:
You are adding two rational numbers with different signs.How can you tell if the sum will be positive, Negative,or Zero
HELP!! Use the properties of addition to simplify this expression. 6-8 +6f-2f
Answer:
-2 + 4f
Step-by-step explanation:
6 - 8 + 6f - 2f
2(3 - 4 + 3f -f) [Distributive Property]
=> 2(-1 + 3f - f)
=> 2(-1 + 2f)
=> -2 + 4f
Answer:
4f-2
Step-by-step explan:
6-8+6f-2f
6-8+4f
4f-2
Zachy plays a game. He earns and loses the following amounts of points throughout the entire game
-5
5
-5
-5
5
5
I wrote a cheque for $10 and he threw my 2 dollar how much do I have left
Answer:
you have $ 8
Step-by-step explanation:
cheque wrote ,=$10
and he threw =$2
then total $ left will be $8
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The value of the 7 in 37,560 is blank the value of the 7 and 4,720
Answer:
The value of the 7 in 37, 560 is greater than the value of the 7 in 4, 720.Step-by-step explanation:
In 37, 560, the value of 7 is 7, 000; in 4, 720, the value of 7 is 700.7, 000 > 700[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
The midday temperature, in Celsius degrees (°C), on four successive days is 1.5, -2.6, – 3.4 and 0.5. Calculate the mean temperature.
thanks for anyone who helped <3
Answer:
-1 C
Step-by-step explanation:
Mean = Average
To find the mean simply add all the values and then divide that by the number of given values
So first add the 4 values together
1.5 + -2.6 + -3.4 + .5 = -4
Then divide the sum by the number of values ( there are 4 values )
-4 / 4 = -1
The mean temperature is -1
is 2/3 rational is 3.1415926535 rational
Answer:
yes 2/3 is rational.
Step-by-step explanation:
please mark me brain list
ITS NUMBER 10. THAT I NEED HELP WITH
In a bakery, 70% of the doughnuts are glazed. If glazed doughnuts account for 21% of all pastries in the bakery, what percent of all pastries in the bakery are doughnuts
Answer:
30%
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary).
(5,-5) and (8,-8)
Answer:
4.2
Step-by-step explanation:
d=sqrt[(x1-x2)^2+(y1-y2)^2]
d=sqrt[(5-8)^2+(-5+8)^2]
d=sqrt[(-3)^2+(3)^2]
d=sqrt[9+9]
sqrt18=4.24
Which of the following represents "10 less than n"?
Answer:
n - 10
Step-by-step explanation:
10 is less than n so subtract 10 from n
Sin A 4/5.
Find
COSA + tan A
Answer:
Step-by-step explanation:
The opposite side (the one not connected to A) = 4
The hypotenuse is 5
The adjacent side needs to be found for the cosine and the tangent.
a^2 + b^2 = c^2
a = opposite side = 4
b = adjacent side = ?
c = hypotenuse = 5
4^2 + x^2 = 5^2
16 + x^2 = 25
x^2 = 25 - 16
x^2 = 9
x = sqrt(9)
x = 3
cos(A) = adjacent / hypotenuse = 3/5
Tan(A) = opposite / adjacent = 4/3
cos(A) + tan(A) = 3/5 + 4/3
cos(A) + tan(A) = 9/15 + 20/15 = 29/15
Please help me with A B and C
Answer:
b)A box from all 4 sides increases as the number increase
c)
Step-by-step explanation:
a+(n-1)d
a-first terms
d- difference
5+(n-1)4
5+4n-4
4n+1(the nth term)
so for 50th
its 4*50+1
Answer is 201 tiles
Hope this helps you :))
If R is the midpoint of OS , RS = 2x - 4, ST = 4x – 1, and RT = 8x – 43, find QS.
Answer:
56
Step-by-step explanation:
The numerical length of QS is 128.
We have a Line Segment QT and a point R lies on the midpoint of QS.
We have to determine length of QS.
What is Mid - Point of a line?The mid - point of a line is a point that divides it into two parts of equal lengths.
According to question, we have -
RS = 2x - 4
ST = 4x – 1
RT = 8x – 43
Since, R is the midpoint of QS -
QR = RS = 2x - 4
QS = QR + RS = 2 x QR = 2(2x - 4)
Now -
ST = RT - RS
ST = 8x - 43 - 2x + 4
ST = 6x - 39
and
ST = 4x - 1 [Given]
Therefore -
6x - 39 = 4x - 1
6x - 4x = - 1 + 39
2x = 38
x = 19
Now -
QS = QR + RS = 2RS
QS = 2(2x - 4) = 2( 2 x 19 - 4) = 2(38 - 4) = 2 x 34 = 128
Therefore - QS = 128
Hence, the numerical length of QS is 128.
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is 9.40 equal to 9.4
Answer:
no
Step-by-step explanation:
if it was 9.04 it would
its not equal because 9.40 is 10^2 but 9.4 is 10^1
slove for w -22=4(w=2)-7w
When is ignorance delightful
Answer:
Ignorance, or a lack of knowledge, isn't usually viewed as a good thing. However, there may be situations when you're happier not knowing the truth. A common expression used to describe these situations is “Ignorance is bliss.” This phrase is an idiom, which is means that it isn't meant to be taken literally.
I am super late
b) 20 labourers complete the construction of a building in 24 days. In how many days would 16 labourers complete the construction?
Answer:
16 labourers complete the construction
in 30 days
Step-by-step explanation:
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suppose a 13 foot ladder is leaning against a building. Reaching to the bottom of a second floor window 12 ft above the ground. How far is the base of the ladder from the building? Round your answer to the nearest 10th
5 ft
4ft
3ft
6ft
Answer: First Choice. 5ft
Step-by-step explanation:
Here we need to know the idea of the Pythagorean theorem.
Since a building is straight, the base angle is a right angle, thus it would be a right triangle.
Pythagorean Theorem: a² + b² = c²
**NOTE** Please refer to the attachment below for the figure. (I drew it, so if it was not clear and understandable for you, please tell me.)
Solve:
Given information
a = 12 ft
c = 13 ft
b = unknow base length
Given formula for Pythagorean Theorem
a² + b² = c²
Substitute values into the formula
12² + b² = 13²
Simplify exponents
144 + b² = 169
Subtract 144 on both sides
144 + b² - 144= 169 - 144
b² = 25
Square root both sides
√b² = √25
[tex]\boxed{b=5}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
When p= 12, t= 2, and s= 5, r= 18. If rvaries directly with p and inversely with the product of sand t, what is the
constant of variation?
Answer:
15
Brainliest, please!
Step-by-step explanation:
r = kp/(st)
p = 12, t = 2, s = 5, r = 18
18 = k(12)/(2)(5)
18 = 12k/10
12k = 180
k = 15
25x^2-36x+9
with x=2
25x² - 36x +9, when x = 2
(25 × 2)² - (36 × 2) + 9
50² - 72 + 9
2 500 - 72 + 9
using BODMAS
2 500 + 9 - 72
2 509 - 72
= 2 437
Answer:
Step-by-step explanation:
25(2)^2-36(2)+9
25(4)-72+9
100-72+9
28+9
37
PLZ HELPP
Q: Nitrates are organic compounds that are a main ingredient in fertilizers. When those fertilizers run off
into streams, the nitrates can have a toxic effect on
fish. An ecologist studying nitrate pollution in two
streams measures nitrate concentrations at 42 places on Stony Brook and 42 places on Mill Brook. The parallel dotplots display the data.
1. Explain what the dot above 12 in the Stony Brook graph represents.
By looking at the dot graph, we can see that the single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was 12 mg/L
To understand this, first I want to give a brief explanation of how these graphs work.
You know that the ecologist did study the Nitrate pollution at 42 places in two lakes.
Each of these 42 places is represented with a dot in the corresponding graph. Now looking at the graph, the position of the dots represents the nitrate concentration (you can see it in the horizontal axis) on one of these 42 places (42 dots for 42 places).
So, having a single dot above 12 in the Stony Brook graph, means that the ecologist find that in one of the 42 places measured in the Stony Brooks lake, the nitrate concentration was of 12 mg/L
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The population of a city is increasing 4% per year and is now 7,200. If it continues to increase at the same rate, what will the population be after 3 years?
Answer:
A = 7200(1.04)^3
A = 8099
Step-by-step explanation:
A square vegetable garden has side lengths of 9 feet. You plant flowers i
the center portion of the garden, a square that has side lengths of 5
feet.You divide the remaining space into 4 equal sections and plant
tomatoes,onions, zucchini, and peppers. What is the area of the pepper
section?
Answer:
14 Sq ft
Step-by-step explanation:
9×9=81
5×5=25
81-25=56
56÷4=14