The required unit rate of the Savannah run is given as 1/10 mile per minute. Option D is correct.
What is the unit rate?A unit rate is a rate in which the second term is 1. In other words, a unit rate is a rate that compares two quantities, with the second quantity being expressed as 1. Unit rates are often used to express a rate per unit of measurements, such as price per item, speed per hour, or cost per pound.
here,
As given in the question Savannah can run 1/2 mile in 300 seconds to evaluate the unit rate we must convert the time given second in minutes by dividing it by 60,
300 seconds = 300/60 = 5 minutes
Now,
Unit rate = 1/2 mile: 5 minutes
Unite rate = 1/10 mile per minute
Thus, the required unit rate of the Savannah run is given as 1/10 mile per minute. Option D is correct.
Learn more about unit rates here:
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A triangle has a base length of 3.1 cm and corresponding height of 4.2 cm, correct to
one decimal place. Calculate the upper and lower bounds for the area of the triangle as
accurately as possible.
Answer:
The upper bound of the area is 6.69375 cm²
The lower bound of the area is 6.32875 cm²
Step-by-step explanation:
The question relates to measurements and accuracy
The given information are;
The base length of the triangle = 3.1 cm
The height of the triangle = 4.2 cm correct to one decimal place
The lower bound for the base length of the triangle = 3.05 cm
The upper bound for the base length of the triangle = 3.15 cm
Similarly, the lower bound for the height of the triangle = 4.15 cm
The upper bound for the height of the triangle = 4.25 cm
The formula for calculating the area of a triangle is given by the following formula;
Area of a triangle = 1/2 × Base × Height
The upper bound of the area = 1/2 × The upper bound of the base × The upper bound of the height
The upper bound of the area = 1/2 × 3.15 × 4.25 = 6.69375 cm²
The upper bound of the area = 6.69375 cm²
The lower bound of the area = 1/2 × The lower bound of the base × The lower bound of the height
∴ The lower bound of the area = 1/2 × 3.05 × 4.15 = 6.32875 cm²
The lower bound of the area = 6.32875 cm²
Which is correct from greatest to least
Find the coordinates of c
Answer:
Step-by-step explanation:
(x - 9)/2 = 4
x - 9 = 8
x = 17
(y - 5)/2 = 1
y - 5 = 2
y = 7
(17, 7) for coordinates of C
A submarine drops at a rate of 16 feet per minute. What is the submarines depth after 4 minutes?
Answer:
答えがわからない
Step-by-step explanation:
答えがわからない
combining like terms with negative coefficients and distribution
-2(2x+4)?
Answer:
-4x - 8
Step-by-step explanation:
Step 1: Write out expression
-2(2x + 4)
Step 2: Distribute -2
-4x - 8
Write an equation of the line in slope-intercept from?
Answer:
[tex]y=-\frac{3}{2}x+2[/tex]
Step-by-step explanation:
This is for the first question.
Slope-intercept is:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We are given the slope of [tex]-\frac{3}{2}[/tex] and a y-intercept of 2.
Plug in the values:
[tex]y=mx+b\rightarrow\boxed{y=-\frac{3}{2}x+2}[/tex]
Hope this helps.
Whats the answer : Evaluate 3/7 - 2/28
A DESPRITE CRY FOR HELP!!!!
Answer:
43,51, 86
Step-by-step explanation:
The sum of the angles of a triangle are 180
x+ x+8+2x = 180
Combine like terms
4x+8 = 180
Subtract 8 from each side
4x+8-8= 180-8
4x= 172
Divide each side by 4
4x/4 = 172/4
x=43
x+8 = 43+8 = 51
2x = 43*2 = 86
I got you, bro!
Answer:
x = 43
The angle measures of the triangle, in order from least to greatest, are 43, 51, and 86.
Step-by-step explanation:
4x + 8 = 180
Subtract 8 from both sides.
4x = 172
Divide.
x = 43
P
-4x - 3y= -26
-5x+2y= -21
Find the solution to the system of equations shown above by graphing.
A. X= 5, y= 2
B. X= 5, y=3
C. X= 2, y = 5
D. x= 6, y= 2
PLEASE EXPLAIN!!!
Divide. Enter the quotient in simplest form.
-
6- +6-=
8 4
Can someone plz explain this.
Janice already has 2 flowers in her garden, and she can also grow 4 flowers with every seed packet she uses. Write an equation that shows the relationship between the number of seed packets x and the total number of flowers y. Write your answer as an equation with y first, followed by an equals sign.
Answer:
y=4x+2
Step-by-step explanation:
4x represents that for every one seed, she will have 4 flowers, and 2 represents the the number of flowers she already has
what is each side of the square?
Answer:
S = 14.14
Step-by-step explanation:
The area of a square is S*S or S^2.
So, if we know that the area of the square patio is 200, we can say that
S^2 = 200.
S = sqrt(200)
S = 14.14 ft.
Solve for x. *
2 (x - 3) = 5x + 23
Answer:-29/3
Step-by-step explanation:
distribute the left side: 2x-6 = 5x+23
combine like terms: -3x=29
divide by -3 on both sides: x= -29/3
PLEASE HELP ALGEBRA 2!
Answer:
7 number ans is b because 2 times the sum of a and b means 2×(a+b)
Answer:
5.) Associative Property of Addition
6.)Commutative property of multiplication
7.) 2 ( a + b)
Step-by-step explanation:
The GCF of 24 and 32 is...
Answer:
The GCF is 8 there is your anwser
2k-3(2k-3)=45
step by step please?
Answer:
k=-9
Step-by-step explanation:
[tex]2k-3(2k-3)=45\\\\2k-3(2k)-3(-3)=45\\\\2k-6k+9=45\\\\(2k-6k)+9=45\\\\(2-6)k+9=45\\\\-4k+9=45\\\\-4k+9-9=45-9\\\\-4k+0=36\\\\-4k=36\\\\\frac{-1}{4}(-4k) =\frac{-1}{4}(36) \\\\k=\frac{-36}{4} \\\\k=\frac{4*9}{4} \\\\k=\frac{9}{1} \\\\k=-9[/tex]
PLEASE HURRY 20 POINTS
A fabric store sells each yard of fabric for x dollars. Which situation can be represented by this inequality? 10x<8x+5 The cost of 10 yards of fabric is greater than the cost of 8 yards of fabric plus a $5 pack of buttons. The cost of 10 yards of fabric is less than the cost of 8 yards of fabric plus a $5 pack of buttons. The cost of 10 yards of fabric is less than the cost of 8 yards of fabric with a $5-off coupon. The cost of 10 yards of fabric is $5 greater than the price of 8 yards of fabric.
Answer:
The answer is 10x<8x+5 The cost of 10 yards of fabric is greater than the cost of 8 yards of fabric plus a $5 pack of buttons.
Step-by-step explanation:
When you multiply the sum and and the difference of 10x and 8x you will get the answer up there. I have done this test before when I was in middle school.
Answer:
It's The cost of 10 yards of fabric is less than the cost of 8 yards of fabric plus a $5 pack of buttons.
Step-by-step explanation: I took the test
Jenny makes food for her hummingbird feeders the food is made up of 1 part sugar and 4 parts water she uses 3-4 cup of sugar to make the hummingbird food how much water should Jenny use
Answer:if you want 3.5 cup of sugar then water would be 14 cups of water so yeah
Step-by-step explanation: :|
Solve for the equation for x 3x+y/=2
2.
Factor the common factor out of each expression. Hint, divide the first one by -8.:
a. - 32x - 40
whats the first step
Find the coordinates of the vertex of g(x) = |x + 1| - 2.
A. (-2, -1)
B. (-2, 1)
C. (-1, -2)
D. (1, -2)
Answer:
The vertex will be at ( -1,-2)
Step-by-step explanation:
g(x) = |x + 1| - 2.
The vertex of g(x) = |x | is ( 0,0)
y = f(x) + C C < 0 moves it down
y = f(x + C) C > 0 moves it left
We shift this to the left 1 unit and down 2 units
( 0 -1, 0-2)
The vertex will be at ( -1,-2)
Given: g(x) = |x + 1| - 2.
We start at g(x) = |x| at (0, 0)
c < 0 moves it down
y = f(x) + c
2 units down
c > 0 moves it left
y = f(x + c)
1 unit to the left
After the shift, we see the vertex being at (-1, -2).
Best of Luck!
this is integrated math2, i’m so lost idk what this is
Answer:
A. SAS
Step-by-step explanation:
[tex] In\:\triangle ABM \:\&\:\triangle CBM\\
\overline{AB} \cong \overline{CB}.... (given) \\
\angle ABM \cong \angle CBM....(given) \\
\overline{BM} \cong \overline{BM}.... (common) \\
\therefore \triangle ABM \:\cong\:\triangle CBM..... (SAS\: Postulate) [/tex]
11. In a class, the probability of being a boy is 5/6. If there are 36 girls in the class, how many total
students are in the room?
Answer:
66
Step-by-step explanation:
What is 28828+88+8+78282882728288+8+888+8882828888-8–88-89939x929299999299292929+839929828-0+9929299x91919192939939+929292992929999-9-9-9999299202839393=
Answer:
-8.2667628e+22
-Step-by-step explanation:
Which of the following is the solution to the inequality below? 14 - x)5-4x+ O A. X² B. X C. X 7 13 7 D. x2 13
a. x<_17/13
b x_>7/13
c. x<_7/13
d. x_>17/13
if you could help me that would be great :)
[tex]-\frac{6}{5}(4 - x) \leq -4(x + \frac{1}{2} )[/tex]
Let's start off by distributing the [tex]-\frac{6}{5}[/tex] and -4
[tex]-\frac{24}{5} + \frac{6}{5}x \leq -4x - 2[/tex]
Add 4x and [tex]\frac{24}{5}[/tex] to both sides.
[tex]\frac{26}{5}x \leq \frac{14}{5}[/tex]
Divide both sides by [tex]\frac{26}{5}[/tex]
[tex]x\leq \frac{7}{13}[/tex]
Simplify 7N - 2N + 3P + 2P.
Answer:
5N+5P
Step-by-step explanation:
7N-2N=5N
3P+2P=5P
Lamar bought a 6-kilogram can of pistachios for $6.90. What is the unit price?
A $1.90
B) $1.30
C$1.10
D $1.15
Answer:
$1.15
Step-by-step explanation:
6.90/6=1.15
Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding two miles a month to his run. He wrote the equation f(x)= 0.5 + 2x to model his progress. The variable x represents the number of
miles he runs.
months he runs.
miles he ran the first day.
calories he burns.
The variable x represent the number of months in which he runs.
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change (slope) and b is the y intercept.
Given that Sean one-half mile on his first run and adds two miles a month to his run. It is given by the equation f(x)= 0.5 + 2x
The variable x represent the number of months in which he runs.
Find out more on Linear equation at: https://brainly.com/question/13763238
This is a Precal question.
Express the given geometric statement about numbers on the number line algebraically, using absolute values.
x is more than 2 units from c
Answer:
X= 4c The absolute value you can find witht the equation |4c|
Given that f(x) = 2x - 2 and g(x) = 5x. Find the value of f(0) + g(3).