Hence, it will take [tex]75seconds[/tex] to meet both the cars at the same place.
What is the time?
Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.
Here given that,
Two toy cars race around a circular track (both go in the same direction). One car can travel around the track in [tex]30[/tex] seconds. The other car travels around the track in [tex]50[/tex] seconds.
Case 1 :-
Track length every [tex]30[/tex] seconds. In [tex]x[/tex] seconds, travels [tex]\frac{x}{30}[/tex] of the track.
Case 2:-
Track length every [tex]50[/tex] seconds. In [tex]x[/tex] seconds, travels [tex]\frac{x}{50}[/tex] of the track.
Combining case 1 and case 2, we get
[tex]\frac{x}{30}=\frac{x}{50}+1\\\\\\frac{x}{30}-\frac{x}{50}=1\\\\\\frac{50x-30x}{1500}=1\\\\20x=1500\\\\x=\frac{1500}{20}\\\\x=75seconds[/tex]
Hence, it will take [tex]75seconds[/tex] to meet both the cars at the same place.
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(b) The pizzeria sold 85 pizzas yesterday. Suppose the number of pizzas sold today was 60. Determine the percent increase or decrease in the pizzas sold, rounded to the nearest hundredth. Show your work.
_____________ % (Increase or decrease?)
PLEASE SHOW WORK thank you :D
Answer:
The difference is 21.21%
work shown below
Step-by-step explanation:
I'm going to first find the difference between both.
85-60=25
Now, we have to find 25% of 85
We don't have to use the formula, we can do this in our brain, like this -
We can see that 25% of 80 = 20, since 25 = 1/4, and 1/4 of 80 = 20, then, there is the 5 part left, how do we find that??? well, 25% of 5 = 1.25, since 1.25x5=5,
So hence, our answer is 21.25
Hi! 29.4118 (decrease) is your answer. My work's below!
- - - - - - - - - - - - - - - - - - - -
Here's a formula for percentages I've used...
(Old # - New # ) /Old # x 100
- - - - - - - - - - - - - - - - - - - -
In this case, the old number is 85, and the new number (today's pizza number) is 60.
(85 - 60) / 85 x 100 =
(85 - 60 = 25)
25 / 85 = 0.29411764705
0.29411764705 x 100 = 29.411764705
Now, round it to the nearest hundredth.
29.4118 (decrease)
- - - - - - - - - - - - - - - - - - - -
Good luck! :)
~pinetree
i neeeeeeeeeeeeeeeeeeddddddddddddddd helpppp
A company sells each product they make for $90.00. They pay $2,300.00 in monthly costs, such as rent and bills, as well as $75.00 in manufacturing costs per unit. If the company sold 495 units last month, what was their total profit?
A.
$34,825.00
B.
$6,610.00
C.
$42,175.00
D.
$5,125.00
Answer:
Option D
Step-by-step explanation:
Given the following question:
Product costs: $90
Monthly bills: $2,300
Manufacturing costs: $75
How much profit did they make in one month if they sold 495 units?
In order to find the answer, we first need to multiply the cost of the product by the units sold last month, then subtract the bills/manufacturing costs.
One unit = 90 dollars
495 units sold last month
[tex]90\times495=44550[/tex]
[tex]=44550[/tex]
The company made 44,550 from the product last month.
Now apply the fees/costs:
2,300 dollars in monthly costs
75 dollars in manufacturing costs PER UNIT
[tex]44550-2300=42250[/tex]
[tex]75\times495=37125[/tex]
[tex]42250-37125=5125[/tex]
[tex]=5125[/tex]
Which means the company made a total profit of "$5,125 dollars" or option D last month.
Hope this helps.
Kindly help me to solve.
Answer:
statement : ABCD is a parellogram reason: given
Find the s.....................
Answer:
AC = 8
Step-by-step explanation:
Area of kits is half the product of diagonals
[tex]Area\; of \;kite = \frac{d_1d_2}{2}\\\\36 = \frac{AC*BD}{2} \\\\36 = \frac{AC(6+3)}{2} \\\\36*2 =9AC[/tex]
AC = 72/9
AC = 8
select the correct word form for 444,404
Answer: four hundred forty-four thousand four hundred four.
Step-by-step explanation: Student instructed to give the word form of a given number.
Answer:
four-hundred forty-four thousand four-hundred and four
Step-by-step explanation:
Because i know this
Identify the percent of change as an increase or a decrease. 9 points to 4 points
Answer:
Decrease of 55.6%
Step-by-step explanation:
Because it clearly decreased,
9 - 4 / 9
5 / 9
55.6% decrease
Examine the two boxes.
Box A
Box B
How much greater is the surface area of Box A than Box B?
Answer:
Box A is greater than Box B by 34.
Step-by-step explanation:
First, you need to start with finding the surface area of every individual side on Box A we have side A, B, and C. After finding the individual area for each side, double each area because there is two of each side. This is the the same method you apply to Box B.
Then subtract the surface area of Box B from Box A.
Whats the answer for 12.3 x 1.2 =
14.76
12.3
*
1.2. =14.76
Answer:
14.76
Step-by-step explanation:
12.3 x 1.2=
12.3
x 1.2
--------
24.6
+123.0
---------
14.76
It takes 5 minutes for an individual to shower. Of each person showers twice per day, approximately how long does each person spend showering in a year?
Answer:
c
Step-by-step explanation:
Beejjj
Each person spends 2.53 days showering in a year.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
Given that,
Time taken by one person to shower = 5 minutes.
Also, one person take shower 2 times in a day.
Total time taken to shower twice per day = 5 x 2 = 10 minutes.
Since, in one year total number of days = 365.
Time taken to shower in 365 days = 365 x 10 = 3650 minutes.
In one day total number of minutes = 24 x 60 = 1440 minutes.
Total days = 3650 / 1440 = 2.534722 days = 2.53
Person showers for 2.53 days in a year.
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The sum of two numbers is 12 and half of them is twice the other.
What numbers are they?
Answer:
4+8 I think.. this is poorly worded question so I am not sure it might be something smaller like 10+2
Step-by-step explanation:
can someone pls help me with this
Answer:
Okay so basically the variables are y and x. Variables in math are just numbers next to a number to represent an unknown number. The coefficient is the number in-front of a variable. The constant would be 5. Think of constants as numbers with variables or negatives or anything. They are pretty much just there. Now as for terms. Terms are just numbers that are part of the equation. Hope this helped!
Step-by-step explanation:
Out of 3500 students of a school, only 36% passed. How many students failed?
Answer:
2240
Step-by-step explanation:
If 36% out of 100% passed, then
100% - 36% = 64% failed
64% of 3500 = 0.64 × 3500 = 2240
Noa is thinking of two fractions that a sum of 3/5. Each has a numerator of 1. What are the denominators of the fractions
Answer:
The denominators of the fractions are 2 and 10.
The fractions with numerators of 1 that have sum of 3 / 5 is calculated below
The sum of the fractions are 3 / 5. Each of the fractions have a numerator of 1. Therefore, let the denominators be x and y
1 / x + 1 / y = 3 / 5
Therefore,
1 / x + 1 / y = 3 / 5
y + x / xy = 3 / 5
cross multiply
5y + 5x = 3xy
Using hit and trial method,
5(2) + 5(10) = 3(10)(2)
10 + 50 = 60
60 = 60
The values are same.
Therefore, the denominators are 2 and 10.
Step-by-step explanation:
Find the slope of the line passing through the points (-4,8) and (-8,5)
Answer:
[tex] \frac{3}{4} [/tex]
Step-by-step explanation:
Slope formula:
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
Slope
[tex] = \frac{8 - 5}{ - 4 - ( - 8)} [/tex]
[tex] = \frac{3}{ - 4 + 8} [/tex]
[tex] = \frac{3}{4} [/tex]
Find a polynomial equation with real coefficients that has the given roots.
3 and -9i
x^3-?x^2+?x-?=0
Answer:
Step-by-step explanation:
(x - 3) (x - 9i) (x + 9i) = 0
(x - 3) (x² + 81) = 0
x³ - 3x² + 81x - 243 = 0
mathematics help ...
no links
Answer:
Ok ------------------
Naomi's car can go a maximum
of 125 miles on 1 tank of gas.
She has already driven 5 miles
on her current tank. If it takes
her 30 miles roundtrip to get
to work, how many times can
she drive to work before she
has to fill
up
the tank?
Answer:
89 she drive to work befor she has to fill
Answer:
4 round tripes
Step-by-step explanation:
First, subtract the miles she has already driven
125 - 5 = 120
Then divide the difference of the miles she has already driven
120 ÷ 30 = 4
The scale model of a car is 5% of the size of the actual car. The length of
the model is 9 inches. How many feet long is the actual car? Show your work below.
Answer:
45 actual car
Step-by-step explanation:
magaceega faatima
what is the distance between the points C(2,-3) and d(10,-3)
You wish to test the following claim ( Ha) at a significance level of α=0.02
H0:μ1=μ2
Ha:μ1≠μ2
You believe both populations are normally distributed, but you do not know the standard deviations for either. We will assume that the population variances are not equal.
You obtain a sample of size n1=16 with a mean of M1=66.2 and a standard deviation of SD1=10.6 from the first population. You obtain a sample of size n2=26 with a mean of M2=68.8 and a standard deviation of SD2=12.9 from the second population.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? For this calculation, use the conservative under-estimate for the degrees of freedom. The degrees of freedom is the minimum of n1 - 1 and n2 - 1. (Report answer accurate to four decimal places.)
p-value =
Answer:
Since we assume the variances of the two populations are the same, we can use the pooled variance in the computation of the t-statistic:pooled variance (Sp^2) = (n1-1)s1^2 + (n2-1)*s2^2 / (n1 + n2 - 2) = (13-1)*19.4^2 + (19-1)*12.6^2 / (13 +19- 2) = 245.8Sp = 15.67t-calc = (mean1 - mean2)/ (Sp * sqrt(1/n1 + 1/n2)) = (83.6-72.9)/(15.67 * sqrt(1/13 + 1/19) = 1.897since this is a right tailed test, the p-value = P(t > 1.897) at n1 + n2 - 2 = 30 degrees of freedom = 0.0337so would not reject.
Step-by-step explanation:
mark me brainliest!!
What is the scale factor in the dilation?
10
y
9
8
image
7
6
5
4
NA
3 pre-image
2
1 -
+
12
3
4
5
B 7
8 9 10 x
Answer:
the scale factor in the dilation is 1/3
Step-by-step explanation:
image-9
preimage -3
3/9 = 1/3
Answer:1/3 or c
Step-by-step explanation:
just got it right in edgn gimme brain pls
4. Randall's monthly water bill from April to July is listed in the table below. What was the percent
increase in his bill from May to July?
Answer:
175
Step-by-step explanation:
Divide. 136.50 divided by 78 then times it by 100 and you get it 175
The percent increase is 56.41%.
what is percent increase?We first calculate the difference between the original value and the new value when comparing a rise in a quantity over time. The relative increase in comparison to the initial value is then determined using this difference, and it is expressed as a percentage. The percentage increase formula is provided by:
percentage increase = (increase in amount /original amount ) x 100
Given:
Bill in may month- 78
Bill in June month = 122
So, change in amount= 122 - 78 = 44
So, percent increase = 44/ 78 x 100
percent increase = 0.5641 x 100
percent increase = 56.41%
Hence, the percent increase is 56.41%.
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What is the equation of the blue line?
Answer:
y = 2x + 3
Step-by-step explanation:
Get any two points on the line, say (0, 3) and (2, 7)
Slope = (7 - 3)/(2 - 0) = 4/2 = 2
y = 2x + b
use (0, 3), x = 0, y = 3
3 = b
so the equation is y = 2x + 3
WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
Rational Number: -9, 5/8, 30/√25
Irrational Number: √70, π
Let f(x)=x-2 and g(x) = x^3 . What is (f•g)(2)
Answer:
f(x)=x2
g(x)=3x+2
(f+g)(x)=x2+3x+2=(x+1)(x+2)
Step-by-step explanation:
Explanation:
What is the value of x & y? *
1 point
x = 11.25 and y = 18.75
x = 12.25 and y = 18.75
x = 11.25 and y = 16.45
x = 14.28 and y = 17.95
x = 10.25 and y = 20.75
Answer:
x = 11.25 and y = 18.75
Step-by-step explanation:
ΔABD ≅ ΔBCD
⇒ 20 : 15 = 15 : x
⇒ 20/15 = 15/x
⇒ x = 15 × 15/20
⇒ x = 11.25
⇒ 25 : 20 = y : 15
⇒ 25/20 = y/15
⇒ y = 25/20 × 15
⇒ y = 18.75
HELP ME OUT PLS!!!!!!
This is the same triangle you used for Question 2.
Triangle ABC has angle measures as shown below.
Using the information in the diagram, and the value of x that you calculated in Question 2, find the measure of Angle C.
In your answer, give the measure of Angle C and explain how you calculated it.
here it is the sum of interior angles of a triangle =180
Answer:
35+3 x+2 +52=180
35 +3x+6+52=180
93+3x=180
3x=87
x=87
---
3
x= 29
c=3[x+2]
substituding
c=3[29+2]
c=3x31]
c=93
35+93+52=180
i wrote it down so yall can copy and paste
Salma operates a ramen restaurant. Historically, half of customers order pork ramen, and the other half of customers are split evenly between chicken and vegetarian ramen. Salma modified the chicken and vegetarian recipes, and she wonders if customers' ordering habits will change. Here are results from a sample of 323232 orders after launching the new recipes along with a chi-square goodness-of-fit test:
Type of ramen Pork Chicken Vegetarian
Historical distribution 50% 25% 25%
Observed 15 4 13
Expected 16 8 8
Components 0.06 2 3.13
x^2 = 5.19, gl = 2
Valor p=0.075
What type of ramen contributed the most to the test statistic?
a. Pork ramen
b. Chicken remen
c. Vegetarian ramen
The type of ramen that contributed the most to the test statistic is C. Vegetarian ramen.
What is test statistic?It should be noted that test statistic simply means a method in statistics that's is used to decide whether a data supports a hypothesis.
In this case, the type of ramen that contributed the most to the test statistic is the vegetarian ramen based on the percentage allocated. There's also sufficient evidence to conclude that rte proportion changed.
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Answer: Vegetarian ramen
Step-by-step explanation:
What is the surface area of a cone that has a radius of 5 units and a
height of 10 units? Use 3.14 for i and round your answer to the
nearest whole number.
Answer:
254 units^2
I took the test and got it correct.
The surface area of a cone that has a radius of 5 units and a
height of 10 units is 508.06 square units.
What is surface area?Surface area is the total area of the exposed surfaces of a three-dimensional object. It is the sum of all the areas of the exposed faces of the object, including any curved surfaces. The formula to find the surface area of a cone is A=πr(r+√(h²+r²)).
Given that, radius of a cone is 5 units and the height of a cone is 10 units.
Surface area = 3.14×10(5+√(10²+5²)
= 508.06 square units
Therefore, the surface area of a cone that has a radius of 5 units and a
height of 10 units is 508.06 square units.
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LEVEL:EASY. MATH: WHICH SITUATIONS SHOWS INTERSECTING LINES?
CHOOSE ANSWER:
A. HANDS OF A CLOCK AT 9:00.
B. CORNER OF A BUILDING.
C. HORIZONTAL BARS.
D. CAPITAL LETTER X.
PLEASE HELP ME
Answer:D) because x had two lines that split through each other.
Step-by-step explanation: