Answer:
Kyla walked 2 miles and jogged 9 miles
Step-by-step explanation:
Let the distance Kyla walked be x
and the distance Kyla jogged be y
Since the trail is 11-mile long, then
x + y = 11
Now, from the question,
Her walking speed is 4 mi/h and her jogging speed is 6 mi/h
Let the time spent to walk be t₁ and the time spent to jog be t₂
From
Distance = Speed × Time
Then, the distance walked x is
x = 4 mi/h × t₁
and the distance jogged y is
y = 6 mi/h × t₂
From the question, Kyla takes 2 hours to go from the beginning to the end of the trail, that is
t₁ + t₂ = 2 hours
∴t₁ = 2 - t₂
Since
x + y = 11, then we can write that
(4 mi/h × t₁) + (6 mi/h × t₂) = 11
But t₁ = 2 - t₂
Then,
(4 mi/h × t₁) + (6 mi/h × t₂) = 11; becomes
(4 mi/h × (2 - t₂)) + (6 mi/h × t₂) = 11
8 - 4t₂ + 6t₂ = 11
2t₂ = 11 - 8
2t₂ = 3
t₂ = 3/2
t₂ = 1.5 hours
This is the time spent to jog
Then, from t₁ = 2 - t₂
t₁ = 2 - 1.5
t₁ = 0.5 hour
This is the time spent to walk
Now, For the distance Kyla walked, x
x = 4 mi/h × t₁
x = 4 mi/h × 0.5
x = 2 miles
Hence, she walked 2 miles
and for the distance Kyla jogged, y
y = 6 mi/h × t₂
y = 6 mi/h × 1.5
y = 9 miles
Hence, she jogged 9 miles
Convert 3x - 5y = 30 into Slope-Intercept Form
1) y = -3x - 6
2) y = -3x + 5y + 30
3) y = 3/5x - 6
4) y = 5/3x - 6
Write 2^3×2^6 as a single power of 2.
Answer:
The answer is 2^9
Step-by-step explanation:
You add the exponents.
Thats it.
\Mrs. Sing invests $12,876 for her business at an annual interest rate of 7 percent for 3 years. Which number will Mrs. Sing substitute for r in the simple interest formula?
I = p r t
0.007
0.07
0.7
7
Answer:
0.07
Step-by-step explanation:its becuase 7% outta 100% =0.07. so I=Prt
We have to solve for r
r=r/100
7%/100
0.07 per year
Hope this helps mark as brainliest plz
Answer:
0.07
Step-by-step explanation:
give brainlest pls
In a traffic jam, it once took me 2.5 hours to drive 30 miles across Atlanta. What was my speed in miles per hour on this trip?
speed = distance ÷ time = 30 ÷ 2.5 = 12 mph
Solve for y; 1/y = a/w + w/a
Answer:
y = aw/(a^2 + w^2)Step-by-step explanation:
Given
1/y = a/w + w/aSolving for y
1/y = a/w + w/a1/y = (a^2 + w^2)/awy = aw/(a^2 + w^2)What congruency theorem would this be : SSS, SAS or ASA ???
Estimate: 10 + 24.73 A 25 B 15 C 125 D 35
Answer: 35
To estimate, we can remove the decimal points and numbers.
So, now we have 10 and 24. Count on by tens since we have one 10.
24, 34 (24 + 10 = 34)
34 is closest to the number 35, it is one away.
The answer is 35. Hope this helps you!
-1/2 = m -7/4
solve for m
Answer:
[tex]\boxed {m = \frac{5}{4}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]m[/tex]:
[tex]-\frac{1}{2} = m - \frac{7}{4}[/tex]
-Switch sides:
[tex]m - \frac{7}{4} = -\frac{1}{2}[/tex]
-Add both sides by [tex]\frac{7}{4}[/tex] and the least common multiple of both [tex]2[/tex] and [tex]4[/tex] is [tex]4[/tex]. So, convert [tex]-\frac{1}{2}[/tex] to a fraction with denominator [tex]4[/tex]:
[tex]m - \frac{7}{4} + \frac{7}{4} = -\frac{1}{2} + \frac{7}{4}[/tex]
[tex]m = -\frac{2}{4} + \frac{7}{4}[/tex]
-Since both [tex]-\frac{2}{4}[/tex] and [tex]\frac{7}{4}[/tex] have the same denominator, then you would add the numerators:
[tex]m = \frac{-2 + 7}{4}[/tex]
[tex]\boxed {m = \frac{5}{4}}[/tex]
Therefore, the value of [tex]m[/tex] is [tex]\frac{5}{4}[/tex].
Giovanni went to the Lowe’s looking for supplies. He bought three pounds of cement for $27.75 per pound. A plant for $12.58. He paid $8.99 is sales taxes. How much did he pay in total at Lowe’s?
Step-by-step explanation:
Hey there! Let's break this answer down.
1. If he bough 3 pounds of cement for $27.75 each, that 3x27.75, which is $83.25. So he spent $83.25 on cement.
2. Next, add $12.58 for the cost of the plant to $83.25, which $95.83.
3. Finally, he paid $8.99 for the sales tax. When adding that to $95.83, we get $104.82.
So, his total was $104.82.
Have a great day!
Answer:
104.82
1Step-by-step explanation:
27.75 times 3 equals 83.25 plus 12.58 equals 95.83 then add 8.99 which is $104.92
help what is the solution for : 5 + |x| = 14
Answer:
9
step by step explanation
5+x=14
14-5=9
x=9
can you tell who is the fastest animal In the world
Answer:
Cheetah
Step-by-step explanation:
A contractor bought 12.6 ft2 of sheet metal. He has used 3.7 ft2 so far and has $160.20 worth of sheet metal remaining. The equation 12.6x−3.7x=160.2 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Answer:$18 per square foot
Step-by-step explanation:
12.6x-3.7x=160.2
8.9x=160.2
x=18
$18 per square foot
helpp pleaseee <3 !
Answer:
I belive the first one is 5:7 And the second one is 7:12
Step-by-step explanation:
Custom steel products also makes staircase frames like those shown here. How would the pattern you described be shown in a table? Graph? Equation?
Answer:
Graph would be the most reasonable.
Step-by-step explanation:
Hope I helped, good luck!<3!!
How many solutions does the equation have? If there is only one, determine the value.
12
y
−
18
=
6
(
2
y
−
3
)
Answer:
0=0
Step-by-step explanation:
Infinite
The given equation can be rearranged to equate both side of the equation and thus we can get equivalent on both side as 6 (2y-3) = 6 (2y-3). Therefore, y can have any values from 0.
What are algebraic equations?Algebraic equations are expression used to represent the relation between two values by some letters or alphabets whose values are not specified in the equation.
In general, the letters x and y are used in the algebraic equations. They can linear or non-linear equation. By rearranging this equations we can determine the values of x and y.
Given the expression 12 y - 18 = 6 (2y - 3). From the left hand side, divide the part 12 y - 18 by 6. Thus we obtain the expression equivalent to the right hand side as 6 (2y - 3).
Therefore, 6 (2y - 3) = 6 (2y - 3). Which means both sides are equal and have equal value of y. means y can have any values from zero since all the terms including y is zero both side.
Thus, giving any value to y will always remains the same equation.
To find more about algebraic equations, refer the link below:
https://brainly.com/question/953809
#SPJ5
is 55 810 a multiple of 10
Answer:
Yes
Step-by-step explanation:
Any number that ends with a zero is a multiple of 10
I need help to solve it
Answer:
to solve what
Step-by-step explanation:
please someone help ... ( i’ll mark brainiest , hehe :) )
the cost for a pack of 15 pens is $3.15. find the unit price in dollars per pen. if necessary, round to the nearest cent
Right answer is correct
Step-by-step explanation:
3x=6
X=6
_
3
X=2..
3Y=3
Y=3/3
Y= 1
(b^2+5) (-b^2+7) I need help asap pleas and thank you if you do
Answer:
42
Step-by-step explanation:
b to the second power thats 1 plus 1 plus 5 times -1to the second power plus seven times 7 and 6 get you the answee 42
will mark brainles if answered quickly
Answer:
A {-3, -2, -1, 0, 1, 2, 3}
Answer:
A
Step-by-step explanation:
Rational numbers are whole numbers
f(x)=2x+1,g(x)=X2-2x-4
TEEHEE HELPP ME PLS PLS PLS PLS???
Answer:
That is true not false dont get confused
help me pleaseeee.........
9514 1404 393
Answer:
y = 204^8x = 0Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^0 = 1 . . . . for a ≠ 0
__
And, it is convenient to know the cubes of small integers:
1³ = 1; 2³ = 8; 3³ = 27; 4³ = 64; 5³ = 125
6³ = 216; 7³ = 343; 8³ = 512; 9³ = 729; 10³ = 1000
__
1) p^3 × p^5 = p^-12 × p^y
Equating exponents:
3 + 5 = -12 + y
20 = y . . . . . . . . . . . add 12
__
2) 64 × 4^5 = 4^3 × 4^5 = 4^(3+5) = 4^8
__
3) 10^x = 1 = 10^0
x = 0
answer:
okay so i did it and i got these answers
- y = 20
- 4^8
- x = 0
step-by-step explanation:
my work
- p^3 × p^5 = p^-12 × p^y then 3 + 5 = -12 + y so: 20 = y
64 × 4^5 = 4^3 × 4^5 = 4^(3+5) so: its 4 over 8
10^x = 1 = 10^0 so: its 0
hope this helped :) pls give me brainliest <3
please please help me!!
Answer:
k=1
Step-by-step explanation:
because the intercept form, y=mx plus b the y intercept changes where the graph is positioned. the line has been translated down to the y intercept 1, therefore that is what k equals
FRESHMEN MATH PLEASE HELP
Answer:
see below
Step-by-step explanation:
[tex]\sqrt{2}\approx 1.41\\\\\sqrt{3}\approx1.73\\\\\sqrt{4}=2\\\\\sqrt{5}\approx2.23\\\\\sqrt{6}\approx2.44\\\\[/tex]
so we can say
[tex]1.36<\sqrt{2}<2.45\\\\1.65<\sqrt{3}<2.34\\\\1.65<\sqrt{4}<2.34\\\\2.16<\sqrt{5}<3.45\\\\2.41<\sqrt{6}<3.56[/tex]
that's the smalles possible intervals I could find, i don't know if those are the smalles, but those are what I found
The √28 is between which two whole numbers?
Answer:
between 5 and 6
Step-by-step explanation:
Choose 2 perfect squares either side of 28, that is
25 < 28 < 36, then
[tex]\sqrt{25}[/tex] < [tex]\sqrt{28}[/tex] < [tex]\sqrt{36}[/tex] , thus
5 < [tex]\sqrt{28}[/tex] < 6
(2+7-1)divided by 2 over 2
Answer:
The answer is 2
Step-by-step explanation:
[tex](2 + 6) \div 2 {}^{2} \\ \\8 \div 4 = 2[/tex]
Can you always draw a piecewise function without picking up your pencil.
Answer:
Yes
Step-by-step explanation:
A function is continuous on an interval if the graph has no breaks, jumps, or holes. You can draw it without picking up your pencil.
Lola purchased two pairs of shoes that each cost $20.00. She then purchased a pair of jeans for $14.50 and a shirt for $8.25. What is the total amount of money she spent, before tax?
Answer: $62.75
Step-by-step explanation:
1.)$20.00 x2= $40.00
2.)$14.50 +$8.25= $22.75
3.)$40.00 +$22.75= $62.75
Hope this helps