Answer:
9.
Step-by-step explanation:
I am assuming that the two numbers are positive.
Let the numbers be 3x and 7x.
Then 3x * 7x = 19
21x^2 = 189
x^2 = 9
x = 3.
So the smaller of these numbers is 3*3 = 9.
Answer:
9 if that does not work try - 21
Step-by-step explanation:
Let the two numbers be x and y
x/y = 3/7 which means that x is the smaller number.
x*y = 189
Cross multiply the top equation
7x = 3y
Divide by 7
x = 3/7 ^ y
x*y = 189
(3/7 y) * y = 189
Multiply by 7
3y^2 = 189*7
3y^2 = 1323
Divide by 3
y^2 = 441
Take the square root of both sides
y = 21
The question is a bit ambiguous. You could use - 9 and - 21 in which case the smallest number is -21. I think they intend 9 however.
x = 3/7 * 21
x = 3*3
x = 9
Check
x*y = 9 * 21 = 189
Suppose a charity event serves a prix fixe dinner that consists of one from each category: (1) soup or salad (not both), (2) appetizer, (3) entree, (4) dessert, and (5) beverage. The restaurant is offering five kinds of soup, three kinds of salad, four kinds of appetizers, six entrees, five desserts, and four beverages. How many different prix fixe dinners are possible
Answer:
3840
Step-by-step explanation:
Using the fundamental counting principle
The restaurant is offering five kinds of soup, three kinds of salad, four kinds of appetizers, six entrees, five desserts, and four beverages.
There are 5 independent events happening (5 prixe dinners)
(1) soup or salad (not both)
We have five kinds of soup, three kinds of salad
soup or salad (not both), = 5 + 3
= 8
(2) appetizer = 4
(3) entrees = 6
(4) dessert = 5
(5) Beverage = 4
Hence,
8 × 4 × 6 × 5 × 4
= 3840
The number of different prix fixe dinners are possible is 3840
How many ads had at least 15, but fewer than 30, words?
1234500372308
Answer:
204
Step-by-step explanation:
I mean logical right lol
104 percent of 102 is what
Answer:
106.08
Step-by-step explanation:
Answer:
106.08 percent
Describe the error in the work shown below.
Find an expression equivalent to 18 + 30.
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 30: 1,2,3,5, 6, 10, 15, 30
18 + 30 = 6(3 + 10)
Pls help fast
Simplify: (5x2 - 3x - 4)(3x - 7) A. 15x3 - 44x2 + 9x - 28 B. 15x3 - 44x2 + 9x + 28 C. 15x3 + 26x2 - 33x - 28 D. 15x3 - 26x2 - 33x + 28
Answer:
A. 15x^3 -44x^2 +9x +28
Step-by-step explanation:
(5x^2 -3x -4)(3x - 7)
first, distribute by multiplying the terms in each parenthesis with each other:
(5x^2 * 3x) - (3x * 3x) - (4 * 3x) - (5x^2 * 7) + (3x * 7) + (4 * 7)
simplify:
15x^3 -35x^2 -9x^2 +21x -12x +28
Now combine like terms:
15x^3 -44x^2 +9x +28
10/r - 7 - 6b if r = 5 and b = -6
Steps to solve:
10/r - 7 - 6b when r = 5 and b = -6
~Substitute
10/5 - 7 - 6(6)
~Simplify
5 - 7 + 36
~Subtract
-2 + 36
~Add
34
Best of Luck!
a tourist information center is between a bus station and a train station when mapped on a grid, the tourist information center is located at (1,4) and the bus is located at (-3,7) the train station is located at point
Answer:
dfd
Step-by-step explanation:
Factor 5x 4 - 30x 2 - 135. 5(x2 + 9)(x2 - 3) 5(x - 3)(x + 3)(x2 - 3) 5(x - 3)(x + 3)(x2 + 3)
Answer:
Step-by-step explanation:
[tex]5x^{4} -30x^{2} -135[/tex]
We need to pull out 5 to make the rest easier to factor.
[tex]5(x^{4} -6x^{2} -27)[/tex]
Now we can factor.
Consider all combinations of how to get 27.
1 x 27
3 x 9
And that's it before you end up just switching the place i.e. 9 x 3 and 27 x 1
This makes it easy to see that 3 and 9 are our best choice because 9 - 3 is 6 which is our middle term in the equation.
So now we have:
[tex]5(x^{2} -9)(x^{2} +3)[/tex]
We can break down [tex]x^{2} -9[/tex] even further because it's a perfect square.
(x - 3)(x + 3)
Our final factor is
5(x - 3)(x + 3)[tex](x^{2} +3)[/tex]
Martina and Karina each wrote a number pattern on a strip of paper for each other to figure out. Find the next two numbers in Martina's number pattern. Describe the pattern and explain how you found it. 2, 6, 10, 14, ...
Answer:
18
Step-by-step explanation:
the pattern is adding 4
What is the value of the underline digit? 9.521
Answer: one
Step-by-step explanation:
Answer:
Step-by-step explanation:
If 9 was underlined it would be 9 ones
If it was 5, 5 tenths
If it was 2, 2 hundreths
If it was 1, 1 thousandth
Hope this helps:)
Two cyclists begin riding in the same direction at a constant rate, one at 20 km/h, the other at 16 km/h. How long will it take until they are 8 km apart?
Answer:
fdfbsdfb
Step-by-step explanation:
dfgfdg
Answer: It will take 2 hours
Step-by-step explanation:
2x +y when x= 3, y=1.
Answer:
I needed help on that question too
35 is what percent of 28?
Answer:
9.8
Step-by-step explanation:
I checked on google
Answer:
9.8
Step-by-step explanation:
Question 3 Write each fraction as an equivalent fraction with the denominator 30. Then write the
original fractions in descending order
1/15, 5/6 , 7/10, 1/2
Answer: 5/6, 7/10, 1/2, 1/15
Step-by-step explanation:
5/6=25/30, 7/10=21/30, 1/2=15/30, 1/15=2/30
I bought three pencils costing 18 cents each. how much change did I get from $1
Answer:
15 pencils
Step-by-step explanation:
18c/3
x/1
cross multiply then divide
Answer:
46 cents
Step-by-step explanation:
18 x 3 = 54
100 - 54 = 46
What degree is the polynomial function shown on the graph? A) third B) fourth C) fifth D) sixth
Answer:
Step-by-step explanation:
Find Cos N 73 48 E 55
Answer:
1. cos73 is 0.29
2. cos48 is 0.67
3. cos55 is 0.57
These are the answers for cos. Hope this helps!
A construction worker estimates that a kitchen remodel will take 1 person 200 hours. If 5 people work on the job for 8 hours a day, how many days will it take for them to complete the job?
Answer:
5 days
Step-by-step explanation:
Multiply 8 hours by 5 people to get a total of an equivalent of 40 hours of work per day. 200/40 is equal to 5, so it would take them 5 days
Answer:
It will take them five days.
Step-by-step explanation:
So what I did was I multiplied 5 and 8 because there were 5 people and I'm taking it that each person worked 8 hours a day. So after multiplying that, I got 40. I then divided 40 by 200 and I got 5.
a company's budget increase from 29 million to 133 million over a period of 10 years. growing by the same percent each year. What was the annual percent increase? Express your answer as a common fraction
21-7x=7(3-x)
Solve this please!!!!!!!!!!
Answer:
All real numbers
Step-by-step explanation:
21 - 7x = 7(3 - x)
21 - 7x = 21 - 7x
Since both sides of the equation are equal, the answer is all real numbers.
[tex]21 - 7x = 7(3 - x)\\21 - 7x = 21 - 7x\\-7x + 7x = 21 - 21\\x \in \mathbb{R}[/tex]
The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 332
people entered the park, and the admission fees collected totaled 898.00 dollars. How many children and
how many adults were admitted?
Answer:
172 kids and 160 adults
Step-by-step explanation:
We can create two equations with the information given.
1.5x + 4y = 898
x + y = 332
We can then bring the x in the second equation over to the other side.
y = 332 - x
We can now plug this equation into the one before.
1.5x + 4(332 - x) = 898
We now do the distributive property on the equation and result with
1.5x + 1328 - 4x = 898
Then we can combine like terms and add 1.5x and -4x together and bring 1328 over by subtracting it from 898.
-2.5x = -430
-430 / 2.5x = 172
x = 172
x is defining how many children when to the park.
Now we just need to figure out y by subtracting it from the total amount of people (aka plugging it into the second equation)
y = 332 - 172
y= 160
We end up with
x = 172
y = 160
172 children and 160 adults
how many minutes (min ) are in 2 hours?
Answer:
120
Step-by-step explanation:
1 hour = 60 minutes
2 hours = 2* 60 = 120 minutes
A school bus requires 40 liters of fuel per week. If your school district runs 5,000 school buses, how many liters of fuel will the buses consume in 52 weeks? A. 15 million liters B. 10 million liters C. 10.4 million liters D. 200 million liters
Answer:
C. 10.4 million liters.
Step-by-step explanation:
1. First, you want to create an equation to help you solve this. You know that there are 5,000 school buses and they use 40 liters of fuel per week. So, you know that 5,000 · 40x would be the amount of fuel for x weeks (where x is the number of weeks).
2. To figure out how many liters would be used in 52 weeks, simply put 52 in for x. So, the expression is 5,000·40(52).
3. Multiply 40(52) to get 2,080. Your expression now looks like this: 5,000·2,080
4. Multiply 5,000(2,080) to get your answer of 10,400,000 liters.
Hope this helps! :) If you could give me Brainliest that would be super helpful!
In the figure shown, suppose m angle ABC=n and m angle ABD=2(m angle DBC). The angle bisector of angle DBC is BE. What is m angle EBC
Answer:
n/6
Step-by-step explanation:
If angle bisector of angle DBC is BE. What is m angle EBC, then <DBE = <EBC
Since <ABC = <ABD+<DBC
n = 2<DBC+<DBC
n = 3<DBC
<DBC = n/3
Since <DBC = 2EBC
n/3 = 2<EBC
n/6 = <EBC
Hence <EBC = n/6
Question 14 Multiple Choice Worth 1 points)
(02.05 LC)
+
The amount $4.50 is 6% of what price?
O $10.50
O $13.30
O $27.00
O $75.00
Answer:
.27
Step-by-step explanation:
4.5*6/100
=.27
Answer:
$27.00
I stayed up all night studying for this test and I got the question right haha
Simplify the expression: 7 + 24 / 6 * 10 *
Answer:
47
Step-by-step explanation:
Since we are following PEMDAS and doing the problem left to right, first you would divide 24/6 which is 4 and then multiply by 10 which is 40. Then add the remaining 7 and your answer is 47. Simple.
A television sells for $550. Instead of paying the total amount at the time of the purchase, the same television can be bought by paying $100 down and $50 a month for 14 months. How much is saved by paying the total amount at the time of the purchase? PLEASE HELP ME !
Answer:
250 Dollars
Step-by-step explanation:
100 down + 50 x 14
100 +700= 800
800-550= 250
$150 is saved by paying the total amount at the time of purchase.
Marco sorted these solid figures into two groups. What is true about the groups?
Group 1
Group 2
All figures in Group 2 appear to have at
least one triangular face.
<) All figures in Group 1 are rectangular
prisms
)) All figures in Group 2 are triangular
prisms
1) All figures in Group 1 appear to have at
least one square face,
Answer:
All figures in Group 1 appear to have at
least one square face
Step-by-step explanation:
Let us examine each statement and see whether they are true or not.
The first statement is not true. Only one of the figures (square pyramid) has at least one triangular face. It has 4 triangular faces, actually.
The second statement is not true. Only one of the figures is a rectangular prism. The remaining two are triangular pyramid and triangular prism respectively.
The third statement is not true also. Only 1 figure is a triangular prism.
The fourth statement is correct. In group 1, all the figures has at least one square face.
Between 2000 and 2015 , the number of twin births in a certain country increased by 11%, to approximately128,760 . About how many twin births were there in 2000?
Answer:
116000
Step-by-step explanation:
The number of twins in 2000 is x
the number increases by 11% to year 2015
x(1+11/100 )=128760
x+0.11x=128760
1.11x=128760
x=128760/1.11
x=116000
What number should be added to 78to get a sum of 97
THE ANSWER TO THAT PROBLEM IS SIMPLY 175
Answer:
19
Step-by-step explanation:
All you need to do is subtract 78 from 97 to find the "remainder." Or you can also add until you get to 97.
97 - 78 = 19
78 + 19 = 97.