To find the distance between the homes of Tom and Jimmy, it is assumed
that the distances from their home to the café are equal.
The distance between Tom and Jimmy's home is [tex]\underline{1,617.\overline 7 \ meters}[/tex]Reasons:
The direction in which Tom and Jimmy walks = Towards each other
The speed at which Tom walks = 52 meters per minute
The speed with which Jimmy walks = 70 meters per minute
The time at which Tom leaves = 4 minutes earlier than Jimmy
The point at which they meet = The café
The rate of their speed = Constant
Required:
The distance between Tom and Jimmy home.
Solution:
Tom and Jimmy had a plan to walk at the same speed and meet up at the café.
We have;
The café is equal distance from Tom and Jimmy's houses.
Which gives the following simultaneous equation.
52 × (4 + t) = The distance of Tom's house from the café
70 × t = The distance of Jimmy's house from the café
52 × (4 + t) = 70 × t52 × 4 = 70 × t - 52 × t = 18 × t
[tex]\displaystyle t = \frac{52 \times 4}{18} = \frac{104}{9} = 11.\overline{6}[/tex]
The time it take Jimmy to reach the café, t = [tex]\mathbf{11.\overline6}[/tex] minutes
The distance between their homes, d = 52 × (4 + t) + 70 × t
∴ d = 52 × (4 + [tex]11.\overline6[/tex]) + 70 × [tex]11.\overline6[/tex] = 1,617.[tex]\mathbf{\overline 7}[/tex]
The distance between Tom and Jimmy's home = 1,617.[tex]\overline 7[/tex] metersLearn more about simultaneous equations here:
https://brainly.com/question/12413726
Ms.yuhas from beloved community charter school is smart and helpful
help please i dont want to fail
sign of \dfrac{23}{45} + \left(-\dfrac{23}{45}\right)
45
23
+(−
45
23
)start fraction, 23, divided by, 45, end fraction, plus, left parenthesis, minus, start fraction, 23, divided by, 45, end fraction, right parenthesis
An expression can either be positive, negative or none.
The sign of the expression is neither positive nor negative.
The fraction expression is given as:
[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right)[/tex]
Open the bracket
[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{23}{45}-\dfrac{23}{45}\right[/tex]
Take LCM
[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{23 - 23}{45}[/tex]
Simplify the numerator
[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{0}{45}[/tex]
Divide 0 by 45
[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = 0[/tex]
0 is neither positive nor negative.
Hence, the sign of the expression is neither positive nor negative.
Read more about signs of expressions at:
https://brainly.com/question/11388301
2. Quinnel made 14 shots out of the 40 he took during his first season of basketball.
Suppose he took 60 shots during his second season. How many shots would you expect
Quinnel to make during his second season of basketball?
Answer:
21
Step-by-step explanation:
his ratio of shots from the first game would be 14:40 or 7:20
so if he made the same ratio from 60 shots it would be
21:60
express the radical using the imaginary unit i
Answer:
27
Step-by-step explanation:
Bob sees a very tall white pine tree. He estimates that the angle of elevation from him to the top of the tree is 77°
. He is 20 feet from the base of the tree when he measures the angle. What is the height of the tree rounded to the nearest hundredth?
Answer:
86.63 ft
Step-by-step explanation:
The tangent relation applies.
Tan = Opposite/Adjacent
tan(77°) = (tree height)/(20 ft)
tree height = (20 ft)·tan(77°) ≈ 86.63 ft
_____
Additional comment
It is somewhat problematic for Bob to see the top of a white pine tree at that angle of elevation. His view would likely be obscured by the branches of the tree.
Hey guys please give me the correct answer.
Step-by-step explanation:
-5 - 2x < - 4
Bringing like terms on one side
-2x < - 4 + 5
-2x < 1
x < - 1/2
Option none is the correct answer
Please look at the pictures below for the question and multiple choice answers, thank you.
Help ! If you're not starbright , please do not answer or i'll report , but if you have the right answer with correct proof , you won't get reported !
Answer:
Step-by-step explanation:
1) So -8+2v<2, 2v<10, v<5. That means that at "5" on the axis, you'll draw a circle that's not filled in (because it's <5, not [tex]\leq[/tex]5) and then draw a box-y thing to the left. Sorry, can't really describe it, but if you look at the picture attached, you'll understand
2) -12m-8[tex]\leq[/tex]-5m-7m, so -12m-8[tex]\leq[/tex]-12m, -8[tex]\leq[/tex]0. This one doesn't have a variable... so you can't really graph it?
A quantity with an initial value of 240 grows exponentially at a rate of 9.5% every 2 decades. What is the value of the quantity after 52 years, to the nearest hundredth?
Answer: 303.870087962229
Simplify ≈303.87
Step-by-step explanation:
Grows 9.5%→r=0.095 Divide by 100
Grows every 2 decades: exponent of t2
(where t is in decades)
Write a function:
f(t)=240(1+0.095) ^t/2 Percent change every 2 decades
52 years→52/10→5.2 decades There are 10 years in a decade
Plug in t=5.2
f(5.2)=240(1+0.095) 5.2/2
Answer: 303.870087962229
≈303.87
Round to the nearest hundredth
The ratio of the number of pears to the number of apples in the basket was 3 : 5 After Sean ate 2 apples, there were still 2 more apples than pears. How many pears were there in the basket?
Answer:
6 pears
Step-by-step explanation:
The difference in the number of ratio units is 5-3 = 2. This corresponds to an original difference of 2+2 = 4, so each ratio unit represents 2 pieces of fruit.
The original ratio is ...
6 pears : 10 apples
There were 6 pears in the basket.
I need help and I can’t find any sadly. Help!!
Answer:
D, A, E, C, B or 2, 5, 4, 1, 3
Step-by-step explanation:
In general, you compare each line to the one before, and figure out what step was taken. Anything involving an arithmetic operation is allowed by the <Operation> Property of Order.
1. Matches the equation you're solving. This equation is Given.
2. The parentheses have been eliminated by multiplying their insides by the factor outside. The Distributive Property says you can do that.
3. The term 7x has been subtracted from both sides. The Subtraction Property of Order says you can do that.
4. The term -20 has been eliminated by adding 20 to both sides. The Addition Property of Order says you can do that.
5. Both sides have been divided by 18. The Division Property of Order says you can do that.
Which statement is true about the slope of the line and what it means in this
situation?
The slope of the line is 1. This means that Jan runs 1 lap every minute.
The slope of the line is 2. This means that Jan runs 2 laps every minute.
I
The slope of the line is 2. This means that Jan runs 1 lap every 2 minutes.
The slope of the line is 4. This means that Jan runs 4 laps every minute.
Answer:
B. The slope of the line is 2. This means that Jan runs 2 laps every minute.Step-by-step explanation:
This is a proportional relationship as the line passes through the origin.
Therefore you can use one point to determine the slope, (2, 4):
m = y/x = 4/2 = 2The slope is 2. It is a 2 laps per minute.
Correct answer choice is B
Slope
m=4-0/2-0m=4/2 m=2Rate is 2 laps every minute
BAt a restaurant, 30% of customers donate to charity in exchange for a coupon. Estimate the probability that it will take at least four customers to find one who donates.
Answer:
75.99%
Step-by-step explanation:
To calculate this, we can use complements. We can find, instead the probability that at least one will donate, the probability that not none of them will donate.
First, we can find the probability that none will donate, which will be (70%)^4, since the chance each will not donate is the same. From this we get 24.01%.
To find the probability that at least one donates, we do the complement:
100%-24.01%=75.99%
Triangle UVW is dilated by a scale factor of 3 to form triangle UVW. Side VW
measures 54. What is the measure of side VW?
Answer:
162
Step-by-step explanation:
In geometry, dialation is increasing the size of a shape on a plane. Since the porblem you have givine isn't requiring the triangle to be centered around a point, this is fairly easy. If you are increasing UVW by a scale factor of 3, you are multiplying each side by 3. So, if side VW is 54, after dilation VW' will have a length of 162. (54 × 3 = 162)
Hope that helped!
can someone help me please heeellllppppp.
Answer:
your answer to (i) is 5 because anything with a denominator of 0 is undefined
Step-by-step explanation:
Karen stacks a set of cans as shown. The top can has a diameter of 2 inches, the middle can has a diameter of 5 inches, and the bottom can has a diameter of 6 inches.
please help me
Answer:
B and E are the only correct answers.
Step-by-step explanation:
The top can's diameter is 2 inches, so the radius is 1. First find the area of the circular end, pi * r^2, 3.14 * 1^2 = 3.14
Then multiply by the height 3.14 * 5 = 15.7 cubic inches
The middle can's diameter is 5 inches so the radius is 2.5.
3.14 * 2.5^2 = 3.14 x 6.25 = 19.625
Multiply by the height 19.625 * 3 = 58.875 cubic inches
The bottom can's diameter is 6 inches, so the radius is 3. 3.14 * 9 = 28.26
Multiply by the height 28.26 * 2 = 56.52 cubic inches
15.7 + 58.875 + 56.52 = 131.095
B and E are the only correct answers.
The number of blogs has grown rapidly. Assuming that two new blogs are created each second,
how many blogs will be set up in one month (30 days)?
O 5.27 x 105
O 6.17 x 105
O 5.27 x 106
O 6.17 x 106
A?
B?
C?
D?
Number 10 on conexus <3
If correct I’ll give brainlest
2 dot plots. The highlands have a mean rainfall of 15.27 millimeters, and the Lowlands have a mean rainfall of 12.05 millimeters. Analyze the dot plots. What is the approximate difference between the means of the two data sets to the nearest whole number? mm
Answer:
the answer to your question would be 3mm hope you have a wonderfull day!
Answer:
3 mm
Step-by-step explanation:
Help me please ******
Answer:
11 is B then 12 is D
Hoped that helped:P
Community Involvement Claim: Three-fourths of all adults believe that it is important to be involved
in their communities. Based on a USa Today/Gallup poll of 1021 randomly selected adults, 89%
believe that it is important to be involved in their communities. find the value of the test statistic.
Using the z-distribution, it is found that the value of the test statistic is z = 10.33.
At the null hypothesis, it is tested if the proportion is of [tex]\frac{3}{4} = 0.75[/tex], hence:
[tex]H_0: p = 0.75[/tex]
At the alternative hypothesis, it is tested if the proportion is different, that is:
[tex]H_1: p \neq 0.75[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.75, \overline{p} = 0.89, n = 1201[/tex]
Hence:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.89 - 0.75}{\sqrt{\frac{0.75(0.25)}{1021}}}[/tex]
[tex]z = 10.33[/tex]
A similar problem is given at https://brainly.com/question/24330815
Sports Warehouse had a sale on two models of baseball gloves. Model A sold for $30.00, and model B sold for $45.25. A total of 52 gloves was sold. The total amount of sales earned on the gloves, excluding tax, was $2,078.50. How many model B baseball gloves were sold?
Answer:
34 Model B gloves were sold
Step-by-step explanation:
Karl’s rectangular vegetable garden is 20 feet by 45 feet, and Makenna’s is 25 feet by 40 feet. Whose garden is larger in area?
Answer:
Makennas
Step-by-step explanation:
Area of rectangle = length * width
Area of Karl's garden = 20 * 45 = 900ft²
Area of Makenna's garden = 25 * 40 = 1000ft²
1000 is greater than 900 therefore makennas garden has a greater area than Karls garden
Hence, Makenna's garden is larger in area than Karl's because 1000 > 900.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Three cups and four plates cost $18. Five cups cost $10.
All the cups cost the same and all the plates cost the same.
What is the ratio of the cost of a cup to the cost of a plate?
Answer:
the cups cost 2$ the plates cost 1.50$
Step-by-step explanation:
if your brother has saved $60 to spend on basketball cards
Answer:
Your brother can buy anywhere from 1 to 6 baseball cards depending on how rare they are!
NEED HELP ASAP BRAINLIST 100 PNTS calculate the portion for walking in degrees
Refer to the table.
72 degree
It is given that :
Soccer: 5
Jogging: 20
Walking: 10
Skiing: 5
Football: 10
50 hours
The total hour is given as 50 hours. Out of which walking is 10 hours.
Therefore, in degree the portion of walking will be : 74 degrees
hope this helps :)
Evaluate the expression when b=5 and y=-2. b-8y
Which is the most popular shoe brand is it Experimental or Observational
Answer:
hear is ur answer....
Step-by-step explanation:
Observation market research is a technique which involves directly observing consumers or another target audience in their natural environment - for instance, watching how shoppers stop outside a fashion retailer, what they are drawn to in a window display and which direction they go after entering the store.
Question 1 of 51 Which of the following is not a Pythagorean triple O A. (5, 12, 13) O B. (7,8,9) O C. (3,4,5) D. (9,12,15)
Answer:
B
--------
Because:-
5, 12, 13 is a Pythagorean triple
3, 4, 5 is a Pythagorean triple
9, 12, 15 is a Pythagorean triple
7, 8, 9 is not a Pythagorean triple
use this rule:-
[tex]a^{2} +b^{2}=c^{2}[/tex]