The distance between Reeta's house and her office is 14 km. She covers 10 km 65 m by scooter, 3 km 75 m by bus and the rest on foot. How much distance does she cover by walking?
Answer:
She covered 0.86 km or 860m by walking.
Step-by-step explanation:
Given:
➮ Distance between Reeta's house and her office is 14km.
She covers 10km 65m by Scooter. Then, 3km 75m by Bus. And rest of distance covered by foot.To Find:
➮ How much distance covered by foot/walking ?
Solution:
To find the distance covered by foot = Total distance - Sum of distance covered through scooter and bus.
Sum of distance covered through scooter and bus:-
As, we know:
• 1km = 1000m
⇒ 10km = 10×1000
= 10000m
⇒ 3km = 3×1000
= 3000m
So, 10000m + 65m ➝ 10065m
3000 + 75m ➝ 3075m
➝ 10065m + 3075m
➝ 13140m
• 13140m into km:-
⇒ 13.14km
Now, Finding the distance covered by walking:
➝ 14km - 13.14km
➝ 0.86km
Hence, She covered 0.86km or 860m by walking.
PLS HELP 40PTS Select the inequality that models the problem.
The sum of two consecutive odd integers is at least 76. Find the least possible pair of integers.
n + n + 2 ≥ 76
n + n + 2 > 76
n + n + 1 > 76
n + n + 1 ≥ 76
Answer:
n + n + 2 ≥ 76Explanation:
To find odd numbers, we have to use n + n + 2
For example let the number be 1, the 1 + 2 = 3, 3 + 2 = 5.
Therefore, used: n + n + 2 expression and it should be equals or at least 76. so finally n + n + 2 ≥ 76 applies.
Question 2 of 5
Use the area of the rectangle to find the area of the triangle.
2 ft 4
12 ft
A. The area of the triangle is 24 square feet, because the area of the
rectangle is 24 square feet.
B. The area of the triangle is 12 square feet, because the area of the
rectangle is 24 square feet.
C. The area of the triangle is 12 square feet, because the area of the
rectangle is 12 square feet.
D. The area of the triangle is 24 square feet, because the area of the
rectangle is 28 square feet
Answer:
The correct answer is C:
The area of the triangle is 21 square feet, because the area of the
rectangle is 42 square feet.
Step-by-step explanation:
Find the value of xx, yy, and zz, in the rhombus below.
Answer:
Step-by-step explanation:
If the diameter of the small pizza is 8 inches, what’s the pizza’s area in square inches?
Answers:
202.1
50.3
or 223.5
Answer:
The answer to your question "If the diameter of the small pizza is 8 inches, what’s the pizza’s area in square inches?
" is 50.3
The music teacher expected 21 students to pass the test , instead 26 passed
Answer: the students are smarter than she thinks
Step-by-step explanation:
more people passed
18 19 21 22 25 27 29 30 31 34 find the mean
Answer:
25.6Step-by-step explanation:
Since the mean is also average
You
1) Add all your values
-----18+19+21+22+25+27+29+30+31+34
= 2562) Then, divide [256] by how many points/numbers you have
-----256 / 10
= 25.6Your average/mean is 25.6
Over 40 hours a person earns $1,000. How much money does she earn per hour?
What are the coordinates (x, y) of the hole in the graph of the function f(x)?
f(x) = (x ^ 2 - 4x - 12)/(x + 2)
Answer:
(6,0)
Step-by-step explanation:
Desmos Graphing Calculator
You paint the wall below your stairs. Find the area you paint. 4m 3 m
P. S. IT'S NOT 12
Answer:
6 m^2
Step-by-step explanation:
the formula for the area of a triangle is 1/2 bh
applying that to this problem, we get
1/2 x 3 x 4
after multiplying then all together, you get
A=6 m^2
Which equation represents the function on the graph?
Use technology to find the line of best fit for the following data.
You may use your own graphing calculator or this GeoGebra graphing calculator tool.
(1,5), (9,85), (2,10), (6,38), (4,3), (12,107), (7,64), (12,86), (7,47), (9,64), (4,27)
The line is in the form y=mx+b.
What is the value of m?
Enter your answer as a number with two decimal places, like this: 3.14
The line of best fit model the relationship between variables on a dataset
How to determine the equation?For the line of best fit, we have the following calculation summary (from a graphing calculator)
Sum of X = 73Sum of Y = 536Mean X = 6.6364Mean Y = 48.7273Sum of squares (SSX) = 136.5455Sum of products (SP) = 1249.9091Slope (b) = 9.15Y-intercept (a) = -12.02The equation of the line of fit is represented as:
[tex]y = bx + a[/tex]
So, the equation of the line of fit is:
[tex]y = 9.15x - 12.02[/tex]
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Explain how the models in questions 4 and 5 are the same.
Models are equations, tables and graphs that are used to represent functions.
How to interpret a modelThe question is incomplete as the models are not given, so I will give a general explanation
For two models to be the same, the equations of the model must be the equivalent.
Take for instance, the following models are the same
y = 2x + 4 and y = x + x + 4 and y = 2x + 2 + 2
And the following models are different
y = 2x + 4 and y = 2^x + 4
Read more about models at:
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Find the slope and the y-intercept of the line.
3x+5y=−4
Write your answers in simplest form.
Answer:
slope = -3/5
y intercept = 4/5
Step-by-step explanation:
First, we can rearrange 3x + 5y = 4 into slope intercept form (y = mx + b) to get 5y = -3x + 4. Now we can divide by 5 to make y the subject: y = -3/5x + 4/5. The number in front of x is the slope and the number on its own is the y intercept.
slope = -3/5
y intercept = 4/5
Hope this helps!
On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.
A delivery driver is driving around town and has noticed that every time he turns, it creates an angle. What are the measures of Angles X, Y, and Z on the map?
In your answer, give the measures of angles X, Y, and Z, and explain how you calculated each one.
The map is an illustration of parallel lines and a transversal
The measure of angle X is 105The measure of angle Y is 75The measure of angle Z is 105How to determine the measures of the anglesAngles X and 75 are supplementary angles.
So, we have:
X = 180 - 75
Subtract
X = 105
Angles Y and 75 are corresponding angles.
So, we have:
Y = 75
Angles X and Z are alternate exterior angles.
So, we have:
Z = X
This gives
Z = 105
Hence, the measures of angles X, Y and Z are 105, 75 and 105 degrees respectively
Read more about angle measures at:
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Based on the definition of the special angles formed by a transversal and parallel lines, the measures of angles are:
X = 105° (supplementary angles)Y = 105° (corresponding angles)Z = 105° (alternate exterior angles)What are Angles formed by a Transversal and Parallel Lines?Some of the angle measures formed are:
Linear pair angles which are supplementary.Corresponding angles which are congruent.Alternate exterior angles which are congruent.Thus:
X = 180 - 75 = 105° (supplementary angles)
Y = X = 105° (corresponding angles)
Z = X = 105° (alternate exterior angles)
Therefore, based on the definition of the special angles formed by a transversal and parallel lines, the measures of angles are:
X = 105° (supplementary angles)Y = 105° (corresponding angles)Z = 105° (alternate exterior angles)Learn more about transversal and parallel lines on:
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Show all work below to answer the following for a certain city that had a population of 150,000 in the year 2010. In 2020, the population was 185,000.
a. Find the constant rate of continuous growth, k, for this population. (Please round to 5 decimal places)
b. When will the population reach 250,000 people?
The constant rate of continuous growth, k, for this population is equal to 2.11935%. And the population will reach 250,000 people in 24.36 years.
For solving this question, you should apply the Population Growth Equation.
Population Growth EquationThe formula for the Population Growth Equation is:
[tex]P_f=P_o*(1+\frac{R}{100} )^t[/tex]
Pf= future population
Po=initial population
r=growth rate
t= time (years)
STEP 1 - Find the constant rate of continuous growth, k, for this population.
For this exercise, you have:
Pf= future population= 185,000 in 2020.
Po=initial population =150,000 in 2010.
r=growth rate= ?
t= time (years)=2020-2010=10
Then,
[tex]P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 185000=150000\cdot \left(1+\frac{R}{100}\:\right)^{10}\\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{185000}{150000} \\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{37}{30}\\ \\ R=100\sqrt[10]{\frac{37}{30}}-100=2.11935\%[/tex]
STEP 2 - Find the t for population 250,000 people.
[tex]P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 250000=150000\cdot \left(1+\frac{2.11935}{100}\:\right)^{10}\\ \\ \left(1+\frac{2.11935}{100}\right)^{10}=\frac{250000}{150000} \\ \\ \left(1+\frac{2.11935}{100}\right)^t=\frac{5}{3}\\ \\ t\ln \left(1+\frac{2.11935}{100}\right)=\ln \left(\frac{5}{3}\right)\\ \\ t=\frac{\ln \left(\frac{5}{3}\right)}{\ln \left(\frac{102.11935}{100}\right)}\\ \\ t=24.36[/tex]
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Shop and Save sells bananas for 80¢, apples for 25¢, and mangoes for 60¢. How much money will you spend if you buy 4 bananas, 3 apples, and a mango? (Notice that the prices are in cents and the answer is in dollars.)
Answer:
$4.55
Step-by-step explanation:
banana: 80¢ = $0.80
apple: 25¢ = $0.25
mango: 60¢ = $0.60
4 bananas, 3 apples, and a mango =
= 4 × $0.80 + 3 × $0.25 + 1 × $0.60
= $4.55
Question 6 of 10
Find the sum of the complex numbers.
(3 + 5i) + (10 + 7i)
A. 13 + 2i
B. 7 + 2i
c. 7+12i
D. 13 + 12i
The equation computed shows that the sum of the complex number is D. 13 + 12i.
How to solve an equation?From the information given, the thing that we have to do is to simply collect the like terms and solve the equation.
Therefore, the sum of (3 + 5i) + (10 + 7i) will be calculated thus:
= (3 + 5i) + (10 + 7i)
= 3 + 10 + 5i + 7i
= 13 + 12i
Learn more about equations on:
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compare using > , < , >,<,is greater than, comma, is less than, comma or = =equals. 7 5 × 15 5 7 ×15 start fraction, 7, divided by, 5, end fraction, times, 15, space 15 15space, 15 how do you know your answer is correct? choose 1 answer: choose 1 answer:
Answer:
7/5 times 15 is greater than 15
Step-by-step explanation:
I divided 7 over 5 and it came out to be 1.4, then I multiplied 1.4 to 15 and got 21.
Quadrilateral A^ prime B^ prime C^ prime D^ prime is the image of quadrilateral ABCD under a dilation. What is the scale factor of the dilation?
Answer:
Scale factor is 1/4
The scale factor is 1/4.
What is scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii.
Given:
As per the figure
C'D' = 3 units
and, CD = 12 units
So, Scale factor = Dimension of the new shape / Dimension of the original shape.
=3/12
=1/4
Hence, the scale factor is 1/4.
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#SPJ2
In the triangle shown, P is the centroid.
AP = 16, PD = 7, and CF = 21. Find FP.
Answer:
7
C is one angle on Triangle
F point is between A and D
CF line is passes through the point P which is center
then From CP=2PF
CF=2x
PF=x
2x+x=21
3x=21
x=7=PF
(100 points!) What are the answers to this question?
Answer:
Parallelogram
Step-by-step explanation:
Because it the only without any right angle
2 pairs of opposite angles are equal it can be parallelogram
QuadrilateralAs it has four sides it can be quadrilateral
RectangleNo angle is of 90° so can't be a rectangle
Rhombus4sides are congruent so it can be rhombus
Squareit cannot be rectangle hence cannot be a square also
TrapezoidNo opposite sides are parallel hence can't be trapezoid
help pleasee and thank you
Answer:
354.20 + 50.60w ≥ 1,099.51
Step-by-step explanation:
x³ + 6x -7= 0 là phương trình
Answer:
[tex]\huge\boxed{\bf\:x = 1}[/tex]
Step-by-step explanation:
[tex]x ^ { 3 } +6x-7=0[/tex]
By using the rational root theorem, all rational roots of a polynomial are in the form p/q, where p divides the constant term -7 & q divides the leading coefficient, 1. Now, let's list out all the possible candidates for p/q by following this theorem.
[tex](+/-)7, (+/-)1[/tex]
Now, let's substitute the value of x as these integers. By using the trial & error method, we can see that..
[tex]x = 1[/tex]
This means that 1 factor of the above equation will be:
[tex]x = 1\\\Longrightarrow\:x - 1 = 0[/tex]
So, by using the Factor theorem, we know that, x - k will be the factor of the polynomial for each root k. Now, divide x³ + 6x - 7 by x - 1. We'll the value as:
[tex]\frac{x^{3} + 6x - 7}{x - 1}\\\Longrightarrow \: x^{2}+x+7=0[/tex]
We now have a quadratic equation with us. By using the biquadratic formula: -b ± √b² - 4ac / 2a, where,
a = 1b = 1 c = 7So,
[tex]x=\frac{-1(+/-)\sqrt{1^{2}-4\times 1\times 7}}{2} \\x=\frac{-1(+/-)\sqrt{-27}}{2}[/tex]
Here, we can see that,
[tex]x\in \emptyset[/tex]
Then, by listing out the solutions that we found, the value of x will be:
[tex]\boxed{\bf\:x = 1}[/tex]
[tex]\rule{150}{2}[/tex]
Answer:(x-1) *(x^2 + x + 7)
Step-by-step explanation:
1. rewrite
2. factor the expression
If
A/B and C/D are rational expressions then: A/B\C/D=A*D/B*C
Answer:
yes!
Step-by-step explanation:
fractions are funky but this is a characteristic of this, if you have a fraction let’s say A/B and you divide it by C/D, the denominator of the second fraction will multiply with the numerator of your first, and B and C will multiply too. Think of it as doing like a lil flip
Answer:
true
Step-by-step explanation:
Given two similar triangles, what would you need to know
to find an unknown length? How would you find that
unknown length?
Answer:
There is a pattern with the ratios of corresponding sides. You can see that the measurement of each side of the first triangle divided by two is the measure of the corresponding side of the second triangle. Use patterns like this to problem solve the length of missing sides of similar triangles.
Answer:
I would need to know the length of a pair of corresponding sides, so I could set up a proportion to solve for the unknown length. I would set the ratio of the known corresponding sides equal to the unknown measure, making sure I put corresponding measures from the triangles in the same positions in the ratios. Then I would cross-multiply to solve.
Step-by-step explanation:
what is equivalent to 5(3y)?
Answer:
3(5y) or 1(15y)
Step-by-step explanation:
Hopefully this helps you! Have a great night/day!
In the given circle, tangent AB and secant CD intersect at point E as shown. What is the value represented by x? A. 70 B. 220 C. 110 D. 140
Based on the relationship between intercepted arc and inscribed angle, the value represented by x is: D. 140°.
What is the Relationship Between Measure of Inscribed Angle and Intercepted Arc?The intercepted arc = twice the inscribed angle.
Thus:
Intercepted arc = x
Inscribed angle = m∠CEB = 180 - 110 = 70°
Therefore:
x = 2(70)
x = 140°
Therefore, based on the relationship between intercepted arc and inscribed angle, the value represented by x is: D. 140°.
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Answer:
Step-by-step explanation:
140 degrees
simplify
-2x - 2y - 2z + 5x - 2y - 4z
Answer: 3x-4y-6z
Step-by-step explanation:
First collect the like terms and you get:
-2x + 5x - 2y - 2y - 2z - 4z
Add similar elements:
3x - 2y - 2y - 2z - 4z
And you do it again and you get: 3x-4y-2z-4z
then just take away -4z from -2z and you get: 3x-4y-6z
Tamara is making hot cocoa for a party. Each serving calls for 1/32 pound of sugar. She has 3/4 pound of sugar available. How many servings of hot cocoa can Tamara make?
Answer: Tamara can make 24 servings of hot cocoa.
Step-by-step explanation:
3/4 ÷ 1/32= 3/4*32 =3*8= 24
Hopefully, that makes sense and helps you out!