The average speed of Sophie in miles per hour is 5.04 miles per hour.
The speed in feet per second is 7.39 feet per second.
Given that,
Sophie recently ran a marathon.
It took her 5.2 hours to run the 26.2 miles required to complete a marathon.
Total distance ran = 26.2 miles
Total time taken = 5.2 hours
Speed = Total distance / Total time
= 26.2 / 5.2
= 5.04 miles per hour
Speed in feet per second = (5.04 × 5280 feet) / 3600 seconds
= 7.39 feet per second
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What is the value of (-3.2)(- 1.5) ?
Answer:
4.8
Step-by-step explanation:
When you multiply two negative number you get a positive number.
A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks down the item by 20 percent. A customer wants to buy three boxes of spaghetti. How much will the customer pay, including paying 8 percent sales tax? Round your answer to the nearest cent.
Look at the table below.
Steps
Moses’s work
Step 1
1 dollar and 60 cents (1.6) = 2 dollars and 56 cents
Step 2
2 dollars and 56 cents (0.80) = 2 dollars and 5 cents
Step 3
2 dollars and 5 cents (3) = 8 dollars and 20 cents
Step 4
8 dollars and 20 cents (1.08) = 8 dollars and 86 cents
In which step did Moses first make a mistake in his work?
Step 1
Step 2
Step 3
Step 4
Dee whether the bangles are shofe, welte a similarity
statement
AV
X
Answer:
Step-by-step explanation:
ı do not know
50 POINTS!!!!!!!!!!!!!!!!!!!!!!!! SOLVE THIS QUICKLY WITH AN EXPLANATION
Answer:
x = 30 degrees
Step-by-step explanation:
angles MNO, LNM, and KNL make a straight line: 105+45+y = 180 --> y = 30 degrees
KNL = 30 degrees
angle KLN is 90 degrees, a triangle is equal to 180 degrees
2x+30+90 = 180
2x = 60
x = 30 degrees
i don’t understand this question show wrk pls
Answer:
it would be C.
Step-by-step explanation:
since the -5 outside the parenthesis, it's indicating for the function to go down on the graph. If it were inside the parenthesis, it would indicate for the function to go right.
A pound of chocolate costs 8 dollars. Maria buys p pounds. Write an equation to represent the total cost c that Maria pays
Answer: 8p=c
Step-by-step explanation:
What is the Surface Area of the figure below?
A
60 units2
B
60 units3
C
104 units2
D
104 units3
Answer:
D
Step-by-step explanation:
I'm really sry if it's wrong!
I need help pls with this
Answer:
1. Music note: (0,-7)
2. circle: (-1,-4)
3. lightning: (3,-7)
4. cross : ( -5, -7)
5. moon: (-8, 10)
6. diamond : (-5,-1)
7. star: (7,-3)
8. heart: (6,-8)
9. square: (2,0)
10. triangle : (-3,0)
Step-by-step explanation:
11. No
12; yes, "G" is at the coordinate (2,-2)
13. Yes, "D" is at the coordinate (-3,9)
14. yes, "H" is at the point (5,4)
15. Yes, "J" is at the point (8,8)
16. yes, "A" is at the point (3,7)
17. Yes, "C" is located at the point (4,-5)
18. yes, "B" is located at the point (10,-10)
19. Yes, "K" is located at the point (9,-6)
20. No
Please help me I’ll mark your answer brainly
The measure of angle B is x, while the measure of angle A is 2·x. The 70° measure of angle C and the angle sum property of the interior angles of a triangle indicates that angle B is \(36.\overline 6^{\circ}\) and angle A is \(73.\overline 3^{\circ}\)
What are the interior angles of a triangle?The interior angles of a triangle are the angles formed by the sides sides of the triangle.
The question can be solved by making use of the known properties of a triangle.
The angle sum property of the interior angles in a triangle gives;
The sum of the interior angles of a triangle is 180°
Therefore; x + 2·x + 70 = 180
3·x = 180° - 70° = 110°
\(x = \dfrac{110^{\circ}}{3} = 36\frac{2}{3} ^{\circ}\)
The measure of angle A is 2·x
Which gives;
\(A = 2 \times 36\frac{2}{3} ^{\circ} = 73\frac{1}{3} ^{\circ} = 73.\overline 3^{\circ}\)
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What is the value of x in the equation (StartFraction one-half EndFractionx + 12) = StartFraction one-half EndFraction(StartFraction 2 Over 3 EndFraction left-parenthesis StartFraction one-half EndFraction. x plus 12 right-parenthesis equals left-parenthesis StartFraction one-half EndFraction left-parenthesis StartFraction one-third EndFraction x plus 14 right-parenthesis minus 3.x + 14) – 3?
Answer:
\(x =-24\)
Step-by-step explanation:
Given
\((\frac{2}{3})(\frac{1}{2}x + 12) = (\frac{1}{2})(\frac{1}{3}x + 14) - 3\)
Required
Solve for x
\((\frac{2}{3})(\frac{1}{2}x + 12) = (\frac{1}{2})(\frac{1}{3}x + 14) - 3\)
Open all brackets
\(\frac{2}{3}*\frac{1}{2}x + \frac{2}{3}*12 = \frac{1}{2}*\frac{1}{3}x + \frac{1}{2}*14 - 3\)
\(\frac{2 * 1}{3 *2}x + \frac{2 * 12}{3}= \frac{1 * 1}{2 * 3}x + \frac{1 * 14}{2} - 3\)
\(\frac{1}{3}x + \frac{24}{3}= \frac{1}{6}x + \frac{14}{2} - 3\)
\(\frac{1}{3}x +8= \frac{1}{6}x + 7 - 3\)
Collect like terms
\(\frac{1}{3}x - \frac{1}{6}x =7 - 3 -8\)
\(\frac{1}{3}x - \frac{1}{6}x =-4\)
Solve fraction
\(\frac{2-1}{6}x =-4\)
\(\frac{1}{6}x =-4\)
Multiply both sides by 6
\(6 * \frac{1}{6}x =-4 * 6\)
\(x =-4 * 6\)
\(x =-24\)
Answer:
Step-by-step explanation:
Given
Required
Solve for x
Open all brackets
Collect like terms
Solve fraction
Multiply both sides by 6
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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Shown is a circle, centre C, with diameter AE.
PQ is a tangent to the circle, meeting it at E.
A EDQ is isosceles with ED= EQ.
Given that / EAD = 50°, calculate the size
of Z DQE.
Answer:
∠DQE = 65°
Step-by-step explanation:
You want to know the measure of Angle DQE in the given figure.
Right triangleTriangle ADE is inscribed in a semicircle, so is a right triangle. That makes acute angle AED complementary to acute angle EAD. The latter is given as 50°, so ...
∠AED = 90° -50° = 40°
TangentWe know that tangent line QE is perpendicular to diameter AE, so angle AEQ is a right angle. Segment ED divides that right angle into complementary angles, so ...
∠DEA +∠DEQ = 90°
∠DEQ = 90° -∠DEA = 90° -40° = 50°
Isosceles triangleA.pex angle DEQ in isosceles triangle DEQ being 50° means that the base angles QDE and DQE will have measure ...
∠DQE = (180° -50°)/2 = 130°/2
∠DQE = 65°
__
Alternate solution
Let angles DQE and QDE be represented by x. Then the sum of angles in quadrilateral ADQE is 360°:
50° +(90+x)° +x° +90° = 360°
230° +2x = 360° . . . . . . simplify
x = 130°/2 = 65° . . . . . solve for x
Which graph shows the solution to the system of linear inequalities?
x – 4y < 4
y < x + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
Which ordered pairs are in the solution set of the system of linear inequalities?
y > Negative one-halfx
y < One-halfx + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 0) and (4, negative 2). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 2, 0) and (2, 2). Everything below the line is shaded.
(5, –2), (3, 1), (–4, 2)
(5, –2), (3, –1), (4, –3)
(5, –2), (3, 1), (4, 2)(5, –2), (–3, 1), (4, 2)
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
give me brainliest
Tutorial
A line with a slope of 1 passes through the point (-2, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 , then
y = x + c ← is the partial equation
To find c substitute (- 2, - 3 ) into the partial equation
- 3 = - 2 + c ⇒ c = - 3 + 2 = - 1
y = x - 1 ← equation of line
5. Find the slope of the following table?
Answer:
25-22. 3
---------- = ---
2-1. 1
slope is equal to 3
So what’s the easiest way to get the answer? 80 = 720 divided by?
Answer:
57,600
Step-by-step explanation:
720 * 80 = 57,600
Answer:
9
Step-by-step explanation:
You divide the answer with the first number and you'll get the answer, 9.
The biologist is studying Black Carp invasiveness in Lake Ontario next. He doesn't have time to sample the fish himself, so instead he instead asks a fisherman who has been fishing off of one of Toronto's piers all morning about his catch. The fisherman responds that, of the 75 fish he has caught, 47 have been Black Carp. What is the lower bound of a 99% confidence interval for the true proportion of fish that are Black Carp in Lake Ontario
Answer:
The 99% confidence interval for the true proportion of fish that are Black carp in Lake Ontario
(0.4828 , 0.7704)
Step-by-step explanation:
Step(i):-
Given that the fisherman responds that, of the 75 fish he has caught, 47 have been Black carp
Sample proportion = \(\frac{x}{n} = \frac{47}{75} = 0.6266\)
We have to find the 99% confidence interval for the true proportion of fish that are Black carp in Lake Ontario
Step(ii):-
solution:-
Given that the level of significance = 0.01
Z-score = 2.576
The 99% confidence interval for the true proportion of fish that are Black carp in Lake Ontario
\((p^{-} - Z_{0.01} \sqrt{\frac{p(1-p)}{n} } , p^{-} +Z_{0.01} \sqrt{\frac{p(1-p)}{n} })\)
\((0.6266 - 2.576 \sqrt{\frac{0.6266(1-0.6266)}{75} } ,0.6266 +2.576 \sqrt{\frac{0.6266(1-0.6266)}{75} })\)
After calculation, we get
(0.6266 - 0.1438 , 0.6266 +0.1438)
(0.4828 , 0.7704)
Final answer:-
The 99% confidence interval for the true proportion of fish that are Black carp in Lake Ontario
(0.4828 , 0.7704)
Using the z-distribution, it is found that the lower bound of a 99% confidence interval for the true proportion of fish that are Black Carp in Lake Ontario is 0.4829.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which:
\(\pi\) is the sample proportion.z is the critical value.n is the sample size.In this problem, for the parameters, we have that:
99% confidence level, hence\(\alpha = 0.99\), z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so \(z = 2.575\). Of the 75 fish he has caught, 47 have been Black Carp, hence \(n = 75, \pi = \frac{47}{75} = 0.6267\)The lower bound of the interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6267 - 2.575\sqrt{\frac{0.6267(0.3733)}{75}} = 0.4829\)
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A consistent system of equations is a system with __________.
Select one:
a. the same line
b. parallel lines
c. intersecting lines and lines that have the same slope
d. intersecting lines and lines that have the same equation
the answer is d. my shlime
As a salesperson at Roaring Waves Beach Supplies, Carissa receives a monthly base pay plus commission on all that she sells. If she sells $500 worth of merchandise one month, she is paid $390. If she sells $1,000 of merchandise in one month, she is paid $480.
Find Carissa's salary when she sells $2,400 worth of merchandise.
Carissa's salary when she sells $2,400 worth of merchandise is $732.
What is Carissa's salary?The first step is to determine the base pay and the commission rate.
In order to determine these values, form a system of equations that represent the information in the question:
a + 500b = 390 equation 1
a + 100b = 480 equation 2
Where:
a = base pay
b -= commission rate
Subtract equation 1 from equation 2:
500b = 90
Divide both sides by 500:
b = 90 / 500
b = 0.18
Substitute for b in equation 1:
a + 500(0.18) = 390
a + 90 = 390
a = 390 - 90
a = 300
Salary = 300 + (0.18 x 2400)
Salary = 300 + 432 = $732
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Expressed in simplest a + bi form, (7-3i) + (x - 2i)² - (4i + 2x²) is
Therefore, the expression (7-3i) + (x - 2i)² - (4i + 2x²) in the simplest a + bi form is: -2x² - 1 - (4x + 7i)
What are the different forms of linear equation?Linear Equation General Form Example
Slope intercept form y = mx + b y + 2x = 3
Point–slope form y – y1 = m(x – x1 ) y – 3 = 6(x – 2)
General Form Ax + By + C = 0 2x + 3y – 6 = 0
Intercept form x/a + y/b = 1 x/2 + y/3 = 1
As a Function f(x) instead of y f(x) = x + C f(x) = x + 3
The Identity Function f(x) = x f(x) = 3x
Constant Functions f(x) = C f(x) = 6
Let's start by expanding the square term (x - 2i)² using the formula for (a + b)²:
(x - 2i)² = x² - 4xi + 4i²
Note that i² = -1, so we can simplify this expression to:
(x - 2i)² = x² - 4xi - 4
Substituting this expression and the given values into the original expression, we get:
(7 - 3i) + (x² - 4xi - 4) - (4i + 2x²)
Grouping the real and imaginary terms, we get:
(7 - 4 - 2x²) + (-3i - 4i - 4x) + (x²)
Simplifying the real part, we get:
-2x² - 1
Simplifying the imaginary part, we get:
-7i - 4x
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1 cm equals 10 mm how many millimeters does 2.5 cm equal label your answer
jose is hiking a trail that is 2 /4 miles long. he hikes 1 5/8 miles before resting how much farther does he have left
The number of miles that Jose will have left after resting will be 1 1/8 miles.
Total distance to be covered = 2 3/4 miles
Distance traveled = 1 5/8 miles
Therefore, in order to get the distance that's left for Jose to complete his journey, we've to subtract the distance traveled from the total distance and this will be:
= 2 3/4 - 1 5/8
= 2 6/8 - 1 5/8
= 1 1/8
Therefore, he has 1 1/8 miles left to travel.
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Julie has 300ml of juice, She gives of the juice away.
How much juice does she give away?
Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.
Step-by-step explanation:
Find the quotient and the remainder when x- + 5x + 2 is divided by x + 1
Answer: The quotient is when x+ 5x + 2 = 6
The reminder is when x+ 5x + 2 = -4
Step-by-step explanation:
Given data,
The quotient and the remainder when x + 5x + 2 is divided by x + 1
Let, f(x) = x + 5x + 2
g(x) = x+1
we can write,
g(x) = x+1 = 0
g(x) = x = -1
so, f(x) = x + 5x + 2
we can substitute x = -1 value
f(x) = x + 5x + 2
f(-1) = (-1) + 5(-1) + 2
f(-1) = (-1) - 5 + 2
f(-1) = (-1) - 3
f(-1) = -4
Therefore,
The quotient is when x+ 5x + 2 = 6
The reminder is when x+ 5x + 2 = -4
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Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1. She recognizes that the expression will be easier to simplify if she can combine 70 and 30 before she works with the other numbers. Which should she do first?
She can use the associative property to rewrite the expression as (70 + 30) + 12.8 + 6.1.
She can use the associative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
She can use the commutative property to rewrite the expression as (70 + 30) + 12.8 + 6.1.
She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
Option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1.
The number expression is:
= (70 + 12.8 + 30) + 6.1
As we know from the commutative property
a + b = b + a
Applying commutative property in the number expression:
= (70 + 30+ 12.8) + 6.1
She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
Thus, option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.
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Find the absolute value of the integer |56|
Hello!
The absolute value of any number, negative or positive, is always positive.
That's because the absolute value of a number is the number's distance from zero.
Therefore, the absolute value of 56 is 56.
Hope that helps! :)
-art lover
The chess club can have at most 36 members. There are 3 times as many boys as girls in the chess club. Which inequality could be used to determine the possible number of girls, x, in the chess club?
Answers included in the picture
Answer:
3x+x ≤36
Step-by-step explanation:
Given that,
The chess club can have at most 36 members.
There are 3 times as many boys as girls in the chess club
Let there are x girls in the chess club.
Boys = 3x
ATQ,
3x+x ≤36
So, the correct inequality is (d) i.e. 3x+x ≤36
I need the value of x
Answer:
9.9
Step-by-step explanation:
Optional (extra) info to understand length of other leg:
This triangle is an iscoceles, how can I (or we) tell?? Well, the angles of a triangle always add up to 180° and we know the angles of 2 corners, 90° and 45° so we can do this to find the last angle where "c" is the unknown corner:
180 - (90 + 45) = c
180 - 135 = c
45 = c
so "c" is also equal to 45° so we can decisively conclude that this figure is an iscoceles triangle.
How to find x:
Use the pythagorean theorem
c = √a² + b²
Then calculate using that equation
c = √7² + 7²
c = 9.9
In this case "c" is for the length of hypotenus but the image asks for x so
x = c
and
c = 9.9
so
x = 9.9
Hope this helps!
Have a nice evening!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer:
it x = 9.9
Step-by-step explanation:
In a survey, people were asked whether they like baseball or whether they like hockey. Here are the results: Likes hockey Doesn’t like hockey Likes baseball 12 18 Doesn’t like baseball 14 6 What value is missing to convert the two-way table to a two-way relative frequency table? Likes hockey Doesn’t like hockey Likes baseball 0.24 0.36 Doesn’t like baseball 0.28
The missing value 'x' in the two-way relative frequency table is 0.36.
To convert the two-way table to a two-way relative frequency table, we need to calculate the relative frequencies for each category. Relative frequency is calculated by dividing the frequency of a particular category by the total count in that row or column.
Let's denote the missing value as 'x'. To find the value of 'x', we need to ensure that the sum of the relative frequencies in each row and each column adds up to 1.
First, let's calculate the relative frequencies for each category:
Likes hockey: The total count in this row is 12 + 18 = 30.
Relative frequency of "Likes hockey" = 12/30 = 0.4
Relative frequency of "Doesn't like hockey" = 18/30 = 0.6
Likes baseball: The total count in this column is 12 + 14 = 26.
Relative frequency of "Likes baseball" = 12/26 ≈ 0.4615
Relative frequency of "Doesn't like baseball" = 14/26 ≈ 0.5385
To ensure that the relative frequencies add up to 1, we can set up the following equations:
0.4 + x = 1 (sum of relative frequencies in the "Likes hockey" row)
0.4615 + 0.5385 + x = 1 (sum of relative frequencies in the "Likes baseball" column)
Simplifying the equations, we have:
x = 0.6 (1 - 0.4) = 0.6 * 0.6 = 0.36
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What is the mean of this numbers 3,2,-7,5,8