a) It takes a groundskeeper 45 minutes to prepare a softball field for a game. It takes his assistant 50 minutes to prepare the same field. How long will it take if they work together to prepare the field?
G does 1/45 job per minute
A does 1/50 job per minute
Together, they do 1/45 + 1/50 = 19/450 jobs/minute
--> 450/19 minutes to do the job
You can use a shortcut, product/sum
50*45/(50+45) = 2250/95
= 450/19
--------------------------------
b) It takes the owner/operator of a dog kennel 7 hours to clean all of the cages. It takes his assistant 4 hour(s) more than that to clean the same cages. How long will it take if they work together?
This is 7 and 11 hours.
7*11/(7+11) = 77/18 hours
= ~ 4.28 hours
Write the equation of the green line.
Answer:
y = -1/2x + 2
Step-by-step explanation:
Let the equation of the green line be y = mx + c
From the graph, (-6, 5) and (0, 2) are 2 points on the green line.
m = (2-5)/(0-(-6)) = -1/2 (using gradient/slope formula)
sub (0, 2) and m = -1/2:
2 = -1/2(0) + c
2 = c
therefore,
equation of the line: y = -1/2x + 2
A recipe calls for 1 1/2
teaspoons of cinnamon to make 2 oatmeal cookies.
How many teaspoons
of cinnamon are needed to make 60 oatmeal cookies?
Answer:
45
Step-by-step explanation:
During the summer months, the prices of nonsmoking rooms with a king-sized bed in hotels in a certain area are roughly Normally distributed with a mean of $131.80 and a standard deviation of $29.12. A travel agent randomly selects prices of nonsmoking rooms with a king-sized bed from 15 hotels in the area. What is the probability that their average cost will be more than $150?
a) 0.0077
b) 0.3678
c) 0.2660
d) 0.1125
The two boxes shown are cuboids.
20 cm
4 cm
30 cm
3 cm
50 cm
10 cm
Work out how many of the smaller boxes you would need
to completely fill the larger one.
Answer:
250.
The area of the larger box is 30,000 cm squared. Once you find the total area of the small box, divide that by the area of the larger box and you have your answer.
Answer:
205
Step-by-step explanation:
2. Joanne's car insurance is reduced by 10% for each year that she has not had an
accident.
The normal cost of her insurance is £420 but she has a 3-years' no claims bonus.
How much is her insurance?
Answer:
220
Step-by-step explanation:
Which numbers should go in the shaded overlap?
Factors of 30
Factors of 20
What are the partial products that result from multiplying 17*32?
Answer:
544
Step-by-step explanation:
There are 240 students going on a field trip each school bus can hold 48 students complete the equation to show which operation to use and how many school buses are needed then complete the sentence to explain your reasoning
What is the approximate ratio of the difference in means to the MADs of the data sets? 4 6 7 31
Answer: The answer is 6
Step-by-step explanation:
Edginuity
Answer:
B: 6
Step-by-step explanation:
edg2020
Consider these three squares with known area 25, 144,169
Answer:
Step-by-step explanation:
three squares with known area 25, 144,169...
1) area of the square =25
Side ×side=25
Side^2=25
Side=√25
Side =5.
Answer is 5.
2) area of the square =144
Side ×side=144
Side^2=144
Side=√144
Side =12
Answer is 12.
3)area of the square =169
Side ×side=169
Side^2=169
Side=√169
Side =13
Answer is 13.
8x + 13x
PLEAsE HLEP ME SLOVE THIS PLEASE SHOW WORK TO? THANK YOU
Answer & Step-by-step explanation:
Since they are like terms (meaning they are in the same form), you can add:
[tex]8x+13x=21x[/tex]
:Done
The figure below shows two triangles on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x axis and from positive 6 to negative 6 on the y axis. A triangle ABC is shown with vertex A on ordered pair 4, 1, vertex B on ordered pair 3, 1, and vertex C on ordered pair 3, 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 4, 4, vertex B prime on ordered pair negative 3, 4, and vertex C prime on ordered pair negative 3, 1. What set of transformations is performed on triangle ABC to form triangle A′B′C′? (5 points) A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin A translation 5 units down, followed by a 270-degree counterclockwise rotation about the origin A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units down
Answer:
A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin
Step-by-step explanation:
Plz mark as Brainliest!
How many ?!!!!
?!!!
?!!
15
hope this helps you alot☺✌❤
Evaluate the expression 9x for x= 2.
9x = when x = 2.
(Simplify your answer.)
Volunteer drivers are needed to bring 24 students to the championship baseball game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6 students. There is a total of 5 cars and vans.
Answer:
34
Step-by-step explanation:
Ezra wants to buy a toy car that was 50% off. The original price is $4. How much will Ezra pay if he buys it during the sale?
Answer:
She will pay $2.
Step-by-step explanation:
I need the answer
I don't need you to make it a whole paragraph
Answer:
3
Step-by-step explanation:
Answer:
3 cups
Step-by-step explanation:
The table below shows the total number of hours Jessica,Emily,and Trina each studied after a given number of weeks
Answer:
See attached
Step-by-step explanation:
Refer to attached
Only column 3 - Trina's numbers represents proportional relationship
Equation for it is:
y = 2.5xCalculation is provided on the table
Please help ASAP! Answer the questions like 1. 2. 3 pls
Answer:
1. 3, because 30 divided by 10 is 3.
2-6, What is the recipe? By understanding the OG recipe I can multiply every number by three.
You can put the recipe in the comments and I will edit this answer. :)
~PumpkinSpice1
3 is your lucky number
For question one, You need to multiply 10 by 3. To get this you can divide 30 by 10, this gives you the number you need to multiply 10 by, in this case its 3.
The next two questions are not able to be answered because I need the amount of oil or flour to determine how much to use for 30 cupcakes.
But, if you have 1 cup of oil for 10 servings, and you want 30 servings, like before, multiply by 3.
Same for flour, it doesnt matter how much of it you need, just multiply by 3 from the amount you use for 10 servings.
If your confused on 4, 5 and 6. Just remember, 3 is the lucky number.
a rectanguluar parking lot has a length that is 5 yards greater than the width the area of the parking lot is 300 square yards find the length and the width use formula area =length * width the -parking lot width is of yards is? the length is?
Answer:
Required Answer:-Area=300yards^2Let
Breadth =x
length=x+5
As we know that in a rectangle
[tex]{\boxed{\sf Area=lb}}[/tex]
Substitute the values[tex]{:}\longrightarrow[/tex][tex]\sf x (x+5)=300[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x^2+5x=300 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x^2+5x-300=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x^2+20x-15x-300=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x (x+20)-15 (x+20)=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf (x+20)(x-15)=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x+20=0\:or\:x-15=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=-20 (Impossible)\:or \;x=15 [/tex]
Width=15yardsLength=15+5=20yardswhich statement about 3/4 multiplied by 16/5 is true?
A. The product is greater than 5
B. The product is less than 3/4
C. The product is between 3/4 and 16/5
D. The product is between 16/5 and 5
Answer:
Option c
Step-by-step explanation:
3/4 multiplied by 16/5
3/4×16/5
12/5
Option c is correct
The product between 3/4 and 16/5
Simplify
92
97
1. 95
2.1/99
3.1/9-5
4. 1/95
Answer:
D : 1/9^5
Step-by-step explanation:
you would first start off by subtracting the powers ( 7-2 ), which gives us 5. That then gives you 9^5, however, 9^5 gives you 59049, and the original problem's answer was 1/59049. When you divide 1 by 9^5, you get 1/59049, which is the same as the original answer.
PLS HELP ME I CANT DO IT AND JMBEING TIMED
Answer:
For A+B
a. 0.3+0.8 = 1.1
b. 1.2+1.4 = 2.6
c. 3.4 + 4.2 = 7.6
d. 2.25 + 2.95 = 5.20
For B-A
a. 0.8-0.3 = 0.5
b. 1.4-1.2 = 0.2
c. 4.2-3.4 = 1.2
d. 2.95-2.25 = .070
If there are 7 girls and 8 boys on the school’s track team, what is the ratio of girls to boys? how would I answer in three different ways.
Answer:
7:8
7 to 8
7/8
Step-by-step explanation:
Answer:
49:56
7/8
.875
Step-by-step explanation:
Here's 3 different ways
6. In his car, John can drive 75 miles on 5 gallons of gas. He drove
825 miles to visit his sister, how many gallons of gas did he use?
Answer: 55 Miles
Step-by-step explanation:
75x11=825
11x5=55
How do I solve problems like
5 + 2y = 1
Answer:
y=-2
Step-by-step explanation:
its like in the paper sorry it if crops out
please help!!! Use the Pythagorean theorem to find the missing value
Answer: 1. is 50 2. is 111 3. is 26 4. is 45 and 5. is 51
Step-by-step explanation: The formula for Pythagorean theorem is A^2 plus B^2 = c^2
Sry that took so long did it wrong at first
To estimate a proportion of students with a grade point average of 3.7 and higher in a college, a random sample of 200 students was taken and the number of successes counted to be 35. The 95% confidence interval for a population proportion is:
Answer: [tex](0.1481323,\ 0.2018677)[/tex]
Step-by-step explanation:
The confidence interval for population proportion :
[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] , where n= sample size, [tex]\hat{p}[/tex] = sample proportion , z*= Critical z-value.
Let p = population proportion of successes.
Given: n= 200 , [tex]\hat{p}=\dfrac{35}{200}=0.175[/tex]
Critical z value for 95% confidence = 1.96
The 95% confidence interval for a population proportion is:
[tex]0.175\pm (1.96)\sqrt{\dfrac{(0.175)(1-0.175)}{200}}\\\\=\ 0.175\pm (1.96)\sqrt{0.000721875}\\\\= 0.175\pm (1.96)(0.0268677)\\\\=(0.175-0.0268677,0.175+0.0268677)\\\\= (0.1481323,\ 0.2018677)[/tex]
Required confidence interval: [tex](0.1481323,\ 0.2018677)[/tex]
X
I ㅗ
]
Factor: -2/3
out of -3X
- 12
Answer:what is this
Step-by-step explanation:
bruh
13. (a) A man bought two books for Rs 1040. He sold one at a loss of 15% and other at a profit of 36%
then he found that each book was sold for the same price. Find the cost price of each book.
(b) Shastika bought two watches for R's
Answer:
Let the price of one book be Rs. x
price of next book is = 1040 - X
C.P of 1st book is Rs. x
Loss = 15%
S.P of 1st book = 85x / 100
C.P of 2nd book = 1040 - X
Profit = 36%
S.P of 2nd book = (1040 - x × 136)/100
(85x)/ 100 - (1040 - x × 136) / 100
85 x= 1040 x 136 - 136 x
85 x + 136 x= 1040 × 136
221 x = 1040 x 136
X = (1040 x 136) / 221
X = 640
So, Cost price for 1st book is 640 Rs. and 2nd book is 1040 - 640 = 400 Rs.