How many minutes per lap does it take a runner who after 45 minutes
has run 9 laps?
Answer:
5 minutes per lap.
Step-by-step explanation:
45÷9=5
Find the value of x so that the function has the given value.
h(x)=−7x+10; h(x)=3
Answer:
h = 3 x = 1
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through (-1,4) and (0,2).
Answer:
1,3
Step-by-step explanation:
Answer: y=-2x+2
Step-by-step explanation:
Find the slope of the two points:
m= (4-2)/(-1-0)=-2
The y int: (0,2) which is given
The slope int form is y=mx+b: y=-2x+2
the perimeter of a rectangular field is 374 yards. if the width of the field is 88 yards, what is its length
Answer:
99 yards
Step-by-step explanation:
374 - 88 = 286
286 - 88 = 198
198/2 = 99
length = 99
The required length of the given rectangular field is 99 yards.
What is a rectangle?A rectangle is a type of parallelogram having equal diagonals.
All the interior angles of a rectangle are equal to the right angle.
The diagonals of a rectangle do not bisect each other.
Given that,
the perimeter of rectangular field is 374 yards.
And its width is 88 yards.
Suppose the length is x yards.
Since the perimeter of a rectangle is given as P= 2(l + b), where l is the length and b is the width .
Substitute the respective values to get,
374 = 2(88 + x)
=> 2x = 374 - 176
=> 2x = 198
=> x = 99
Hence, the length of the rectangular field is given as 99 yards.
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у = 2х +7
y = x+8
using substitution
Answer:
(1, 9)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define Systems
y = 2x + 7
y = x + 8
Step 2: Solve for x
Substitution
Substitute in y: 2x + 7 = x + 8Subtract x on both sides: x + 7 = 8Subtract 7 on both sides: x = 1Step 3: Solve for y
Define equation: y = x + 8Substitute in x: y = 1 + 8Add: y = 9Answer:
x = 1
y = 9
Step-by-step explanation:
y = 2x + 7 --------------------(I)
y = x + 8 ----------------------(II)
Substitute y = 2x + 7 in equation (I)
2x + 7 = x + 8 {Subtract 'x' from both sides}
2x + 7 - x = 8 {Combine like terms}
x + 7 = 8 {Subtract 7 from both sides}
x = 8 -7
x = 1
Substitute x = 1 in equation (I)
y = 2*1 + 7
= 2 + 7
y = 9
Using your own words, create a word problem around the given problem. Then solve it
65% of $300
Answer:
Philip got $300 from his relatives, he puts 65% of the money he got into the bank. How much money did Philip put in the bank? $195
You are inviting people over for a pool party but your parents said that you can spend at most $100 on food and beverages for the party. If you've already spent $20 on the cake, and each person invited is going to cost you $5 worth of food, how many friends can you invite? Group of answer choices
Answer:
16
Step-by-step explanation:
100 is at the very limit, you've already spent 20 on the cake, now just count by fives to eighty and 16 x 5 = 80
Carlos biked 24 mi and ran 6 mi.
What is the ratio of the distance Carlos ran to the distance he biked?A ratio compares two values using which operation?
Answer:
4:1
Step-by-step explanation:
simplify the 24:6 by dividing both sides by 6
Say that the economy is in a recession, causing vehicle prices to drop by eight percent. If your car was previously worth $25,295, what is it worth now, to the nearest dollar? a. $23,851 b. $23,421 c. $23,271 d. $22,133
Answer:
c.
$23,271
Step-by-step explanation:
i took the same test on edg
The worth of the car will be $23,271 in the nearest dollar.
What is a recession in an economy?
A recession is defined as a severe fall in economic activity that lasts more than a few episodes of time and is reflected in real GDP, income, employment, economic growth.
So if an economy is in a recession and vehicle prices drop by eight percent.
Then, we have:
= $25,295 × 8%
[tex]\mathbf{= 25295 \times \dfrac{8}{100}}[/tex]
= $2023.6
The price of a car that was previously worth 25,295 will be:
= $25295 - $2023.6
= $23271
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. Five balls are placed at random in five buckets. What is the probability that each bucket has a ball
Answer:
%0.00032
Step-by-step explanation:
.2x.2x.2x.2x.2x
A group of friends were working on a student film that had a budget of $700. They used 16% of their budget on props. How much money did they spend on props?
Answer:
They spent 112 dollars on props.
The required total 16% spend on the props is $112.
Given that,
A group of friends was working on a student film that had a budget of $700. They used 16% of their budget on props. How much money did they spend on props is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
A group of friends was working on a student film that had a budget of $700.
Budget = $700
They used 16% of their budget on props.
Total spend on the props = 700 * 16 / 100
= $ 112
Thus, the required total 16% spend on the props is $112.
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Solve 18 > 12 + 2. Graph the solution.
Answer:
Step-by-step explanation:
7
2
Decimal Form:
3.5
Mixed Number Form:
3
12
Which expressions are equivalent to this exponential expression? pls help
Answer: 1/66
Step-by-step explanation:
In the given figure, ST is a midsegment. If △PQR needs to be a right triangle, what must the length of PQ be?
Answer:
i answered but it got deleted its 12
Step-by-step explanation:
find the measure of each angle indicated.
Answer:
15 number answer is 35
16 number answer is 46
17 number answer is 40
The area of the opening of a rectangular window is to be 120 square feet. If the length is to be 2 feet more than the width, what are the dimensions
Answer:
Width = 10ft
Length = 12ft
Step-by-step explanation:
For a rectangle of length L and width W, the area is calculated as:
A = L*W
In this case, we know that:
The area is 120 ft^2.
The length is 2 ft more than the width.
Then we can write:
L = W + 2ft.
If we use these two equations and replace them in the equation for the area of a rectangle, we get:
A = 120ft^2 = W*L = W*(W + 2ft)
120ft^2 = W*(W + 2ft)
Now we can solve this for W
120 ft^2 = W^2 + 2ft*W
Now we can rewrite this as:
W^2 + 2ft*W - 120ft^2 = 0
The solutions of this equation can be found by the Bhaskara's formula.
We know that for an equation of the form:
a*x^2 + b*x + c = 0
The two solutions are given by:
[tex]x = \frac{-b +\sqrt{b^2 - 4*a*c} }{2*a}[/tex]
in our case, we have:
a = 1
b = 2ft
c = -120ft^2
Then the solutions for the equation W^2 + 2ft*W - 120ft^2 = 0 are:
[tex]W = \frac{-2ft + -\sqrt{(2ft)^2 - 4*1*(-120ft^2)} }{2*1} = \frac{-2ft +- 22ft}{2}[/tex]
Then the two solutions are:
W = (-2ft - 22ft)/2 = -12ft (this is a negative measure, does not have a real meaning in this case, so this solution can be discarded)
The other solution is:
W = (-2ft + 22ft)/2 = 10ft (this is the correct solution)
Then the width is 10ft, and we know that the length is 2 ft longer than the width, then the length is:
L = W + 2ft = 10ft + 2ft = 12ft
Expression for x = 6 and y = 17.
2x + (20 - y)
Answer:
The president is permitted to veto specific legislative acts, but Congress has ... and judicial appointments and on the approval for ratification of treaties. ... State shall have the Qualifications requisite for Electors of the most numerous Branch of the State Legislature. ... No Bill of Attainder or ex post facto Law shall be passed. Step-by-step explanation:
Answer:
2(6)+(20-(17))
Step-by-step explanation:
i think thats what you mean
Pleaseeee i need help
Answer:
i think its b
Step-by-step explanation:
On a map of the city, 2 inches represents 1 mile. Michelle is trying to plan out her trip from downtown to uptown. On the map, the distance is 16 inches. What is the actual distance that Michelle will travel from downtown to uptown?
Answer: 8 miles
Step-by-step explanation:
2 in=1 mile.
16 divided by 2 is 8
Sue walks 6 yards and passes 24 security lights set along the sidewalk. How many security lights does she pass in one yard?
Answer:
4 lights per a yard
Step-by-step explanation:
24 divided by 6 equals 4
Answer:
4 is the answer because 6 × 4 is 24.
which are pairs of perpendicular lines?
Answer:
D
Step-by-step explanation:
The product of the slope of perpendicular lines = -1
y = (-1/4)x - 6 ; here slope = -1/4
y = 4x + 11 ; slope = 4
[tex]4 * \frac{-1}{4}=-1[/tex]
Which of the following best defines an output? (4 points)
a
An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.
b
An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.
c
An output is a special type of relation for which there is a rule that pairs each input with exactly one output.
d
An output is a set of ordered pairs in which no y-value repeats.
Answer:
B is the best definition of outputStep-by-step explanation:
a . An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.
Incorrect. Output is defined by input.b . An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.
Correctc . An output is a special type of relation for which there is a rule that pairs each input with exactly one output.
Incorrect. Output is the result of relation but not pairing rule.d . An output is a set of ordered pairs in which no y-value repeats.
Incorrect. y-values can repeat.A sign in front of a roller coaster says you must be 40 inches tall to ride what percentage of this height is 34 inches
Answer:
85% of 40
Step-by-step explanation:
We can do this in two ways, we can either use percent proportions or use benchmark percentages. I'll do both.
So the equation for percent proportions will look something like this:
34/x = 40/100
So to solve this, we do 34*100/40, which is 3400/40 which equals 85. That means that 34 is 85% of 40 inches.
Another way to do this is to use benchmark percents:
10% of 40 is 4 and, so you do 40-4 and get 36. Then we need to get 2 more down so we do 5% of 40 which is 2, so we do 36-2 or 40-6.
Then we add up the percents which would add up to 15%, we do 100-15 and get 85%
Or we could just say, well 6 is 15% of 40 so we do 100-15 and 40-6 and get that 34 = 85% of 40
Let me know if you have any questions
Let me know if you have any questions
The value of 0.01 gram is equivalent to which of the following?
1 centigram
1 kilogram
1 milligram
1 hectogram
What are the coordinates of point F? On a coordinate plane, point F is 4 units to the right and 2.5 units down. (Negative 4, Negative 2 and one-half) (Negative 4, 2 and one-half) (4, negative 2 and one-half) (4, 2 and one-half)
Answer:
(4, -2 1/2)
Step-by-step explanation:
The 4 is positive because it goes to the right on the x axis, and the 2 1/2 is negative because it goes down on the y axis.
Answer:
(4, -2 1/2)
Step-by-step explanation:
i did edge test
Where do the graphs of the linear equation y=2x+5 and y=-2x-3 intersect?
A stereo speaker in the shape of a triangular pyramid has a height of 6 inches. The area of the base of the speaker is 11 square inches. What is the volume of the speaker in cubic inches? A. 22 in B. 198 in C. 66 in D. 33 in
Answer:
22 cubic inches
Step-by-step explanation:
V = 1/3 * Area of Base * height
Area of Base is given as 11 inches
height is given as 6 inches
V = 1/3 * 11 * 6
V = 66/3
V = 22
Answer.
A.22
Step-by-step explanation:
PLEASE ANSWER ASAP!!! Which of the following is a polynomial? Choose all answers that are correct.
A. −4x√−2x
B. 5x2 – x–1 + 2
C. –0.4a3 – 5b
D. 4ab2 – 2b + 1
8). There are five bags with 98 chocolate drops in each one. How many chocolate drops are there in total? Write the equation and give the solution.
Answer:
490
Step-by-step explanation:
98*5+490
Answer:
490
Step-by-Step Explanation:
the equation is 5 x 98 = 490.
A National Retail Foundation survey found households intend to spend an average of $469 during the December holiday season. Assume that the survey included 600 households and that the sample variance was $375. Calculate the margin of error for a 99% confidence interval.
Answer:
The margin of error for a 99% confidence interval. is of $2.25.
Step-by-step explanation:
We have the sample's variance, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 600 - 1 = 599
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 600 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.84.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample(square root of the variance) and n is the size of the sample.
In this question:
[tex]s = \sqrt{375}, n = 600[/tex]. So, the margin of error is of:
[tex]M = 2.84\frac{\sqrt{375}}{\sqrt{600}} = 2.25[/tex]
The margin of error for a 99% confidence interval. is of $2.25.