The first equation can be rearranged to obtain p=10+q.
Substituting this into the second equation,
[tex]q(2(10+q)-10)=1000 \\ \\ q(10+2q)=1000 \\ \\ q(5+q)=500 \\ \\ q^2 + 5q-500=0 \\ \\ (q+25)(q-20)=0 \\ \\ q=-25, 20 \\ \\ q=-25 \implies p=-15 \\ \\ q=20 \implies p=30 \\ \\ \therefore \boxed{(p,q)=\{(-15, -25), (30, 20)\}}[/tex]
Please ANswer ASAP & show all work. If you put an incomplete or absurd answer I WILL report you.
The scale factor of a model plane to the actual plane is 1 to 20.
Find the wing area of the model if the wing area of the actual plane is 400 ft^2
Answer:
1 ft²Step-by-step explanation:
The scale factor = 1 : 20
The area is the product of two dimensions, so the area of the model part to actual part is:
1 ² : 20 ² = 1 : 400If the actual plane has wing area of 400 ft², then the model will have wing area:
400 ft² / 400 = 1 ft²Mandy makes beaded bracelets and sells them for $5 each. If she sells the bracelets for 250% of the cost of her materials, how much does each bracelet cost to make? Each bracelet costs $ to make. PLEASEEEEEEEE HURRRRRYYYYYYYY
Answer:
Sales price is 5$
Bracelet cost 2 dollars each to make
Step-by-step explanation:
so each bracelet is sold for 5 dollars
5 dollars is 250%
5/250=0.02
times 100
2
Hope this helps ask me if u have more questions!!
Answer:
Each bracelet costs $2 to make.
Step-by-step explanation:
just put 2
It costs $3.50 to rent bowling shoes. Each game costs $2.25. You have $19.25. How many games can you bowl?
Answer:
7 games
Step-by-step explanation:
2.25x7+3.50=19.25
Evaluate h(x) = -4x + 2, when x = -1.
Please help ASAP !!!!!!!!
Answer:
perimeter is 24in. sq
Step-by-step explanation:
6in. per side* 4 sides= 24in. perimeter
Answer:
48 inches
Step-by-step explanation:
The perimeter is the distance around the shape. To find it, add the length of each side together. Assuming each side has two small squares, then each side would be 12 inches. Add 12 + 12 + 12 + 12, in order to get 48
What is the perimeter of the triangle?
units
Answer:
40 unitsStep-by-step explanation:
perimeter = add up all sides
= 8 + 15 + 17
= 40 units
see image below
-3 3/4+ 1/2 please help
Answer:
-3.25 or -3 1/4
Step-by-step explanation:
-3.75
+ .5
_______
11. What would be the temperature be on an autumn day?
a. 50-F
b. 32.C
c. 100-F
d. 0-C
Answer:
B) 32 C
Step-by-step explanation:
32 C = 89.6 F
hope this helps :D pls mark brainliest :D
3. Two balls are drawn in succession without replacement from an urn containing 4 red balls and 3 blue balls. Find the probability mass function (P.M.F.) for the number of red balls draw.
Answer:
X ____ 0 ______ 1 _______ 2
P(x) __ 1/7 _____ 4/7 _____ 2/7
Step-by-step explanation:
Given that :
Number of red balls = 4
Number of Blue balls = 3
Total number of balls = (4 + 3) = 7
Picking without replacement :
Number of picks = 2
1st pick is red :
Probability = (required outcome / Total possible outcomes)
USing combination formula :
nCr = n! / (n-r)! r!
Total possible outcome :
7C2 = 7! / 5!2! = 7*6 / 2 = 42 / 2 = 21
X = number of red
For red = 0;
P(x =0) = required outcome / Total possible outcomes
P(x = 0)
Required outcome : [4C0 * 3C2)]
P(x = 0) = [(4C0 * 3C2)] / 21 = (1*3)/21 = 3/21 = 1/7
P(x = 1)
Required outcome : [4C1 * 3C1)]
P(x = 1) = [(4C1 * 3C1)] / 21 = (4*3)/21 = 12/21 = 4/7
P(x = 2)
Required outcome : [4C2 * 3C0)]
P(x = 2) = [(4C2 * 3C0)] / 21 = (6*1)/21 = 6/21 = 2/7
Hence ;
X ____ 0 ______ 1 _______ 2
P(x) __ 1/7 _____ 4/7 _____ 2/7
Please help! I will give fifty points and brainiest if you answer and get it right.
Answer: The tourist was in the taxi for 23 miles.
Step-by-step explanation:
Step-by-step explanation:
speed =4 miles/hour
distance travelled =31 miles
we have
speed =distance/time
time =31/4hour
for taxi
time =2hours
speed =50mph
distance covered by taxi =?
we have
speed =distance /time
50=distance/2
distance =50×2=100miles
Please help me need help ASAP thanks
Answer:
Company B would be a better choice.
Company B is cheaper.
Step-by-step explanation:
Let x be the rate per square foot
✔️Company A charges: $215 + $0.50x
If they are installing 400 ft² of carpet, they would be charged the following by company A,
Substitute x = 400 into the equation.
We have:
$215 + $0.50(400) = $415
They would pay $415 if they use Company A's services
✔️Company B charges: $100 + $0.75x
If they are installing 400 ft² of carpet, they would be charged the following by company B,
Substitute x = 400 into the equation.
We have:
$100 + $0.75(400) = $400
They would pay $400 if they use Company B's services .
✅Company B would be a better choice because the total charges they would pay to install 400 ft² carpet is cheaper than they would pay for Company A.
What is the slope of the line that passes through the points (-6, 5) and
(-3, 20)? Write your answer in simplest form.
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{20}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{20}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{(-6)}}} \implies \cfrac{15}{-3 +6}\implies \cfrac{15}{3}\implies \text{\LARGE 5}[/tex]
what is the awnser to y=4-3x
Answer:
x= -y-4/3
Step-by-step explanation:
I hope this helps, work is in the picture ;)
A bicycle is on sale for ¾ off the original price. If the bicycle originally cost $40, what was the original price?
Answer:
30
Step-by-step explanation:
Divide forty into 4 parts, because the denominator is four.
40/4=10
Now multiply the numerator times the answer you got (10)
3•10=30
Find the 51th term of the arithmetic sequence 25, 12 and -1
Answer:
-625
Step-by-step explanation:
1. the formula is:
[tex]a_n=a_1+d*(n-1);[/tex]
where n - the number of the required term, d - the step between two neighbor terms, a₁ - the first term of the given sequence.
2. according to the formula above:
[tex]a_{51}=25-13*(51-1)=25-650=-625.[/tex]
Please help I will give you brainlest
A store buys a piano from the vendor for $6000 then marks the price up 15% before they sell it to the public. What is the retail price of the piano?
Answer:
$6900
Step-by-step explanation:
Lets find 15% of 6000 first.
6000 x 15% = 900
So just add 900 now to 6000
6000 + 900 = 6900
Hope this helps!
Answer:
6900
Step-by-step explanation:
first you get 6000 times 15
then you get 900 and then add that to the 6000
in order to get 6900
16. A population of bacteria increases by 30 every hour. Is this situation linear or exponential? Why?
A. Exponential, because the function decreases
B. Exponential, because the function grows by a common factor
C. Linear, because the function decreases
D. Linear, because the function increases by a common difference
Answer:
D. Linear, because the function increases by a common difference
Step-by-step explanation:
Since it is increasing always at the same rate it is linear.
Please mark Brainliest.
A student graphs 5x−y=7 on a coordinate plane. Which equation, when graphed on the same coordinate plane, will result in a system of equations with no solution? 5x−y=7 5 x − − y = 7 5x−y=1 5 x − − y = 1 x−5y=35 x − − 5 y = 35 x−5y=5
Answer:
5x−y=1
Step-by-step explanation:
An equation is a statement that shows the equality between two expressions.
An equation is said to have no solutions if after solving the equation and the result is a statement like a = b, where a and b are different numbers.
The equation after it is simplified would have the same coefficients and different constant.
Given:
5x−y=7
An equation that will result in a system of equations with no solution will have the same coefficient but different constant.
Hence 5x−y=1, would give a system of equations with no solution.
Simplifying gives:
7 = 1 (no solution)
A rectangular plot of land has a width of (2x+3) feet and a length of (3x-1) feet. Express the AREA as a function of x.
Answer:
11x-1
Step-by-step explanation:
Area =length x width
so multiply (2x+3) and (3x+1) to get 11x-1
I NEED HELP ( please dont steal or guess means not to me) and I will giver brainiest if you have proof
Answer:
option d, 7.25Step-by-step explanation:
2AB=YZ(By parallel line theorem)
4x-8=21
4x=29
x=29/4=7.25HEYYYY HELP ME OUT WILL GIBE BRAINLIST
Answer:
c no is correct answer ☺️
PLS HELP I NEED ANSWER FAST
Answer: top row, 0, 60, 120, 180, 240
Step-by-step explanation:
6 soccer team spent $216 on 15 new soccer balls. Each ball cost the same. A. Estimate the cost of each soccer ball. Write an equation to show your work. B. Find the exact cost of each soccer hall compare your answer to your
Answer:
19,350 dollars is the answer
Step-by-step explanation:
6 times 216, is 1,290 and 1,290 time 15 is 19,350
Answer:
A) Use compatible number.
For estimate round 216 to 210 and divide by15.
210/15=14 estimate cost
B)Now the exact cost :
Divide 216/15=14.4
When you compare your estimate with exact cost. The answer is reasonable
Step-by-step explanation:
there are three numbers for the combination to the store safe the first number is 17 the other two numbers can be multiplied together to give a product of 24 what are all of the possibilities for other two number write your answers as multiplication equations and then write all the possible combination to the safe
1 x 24, 2 x 12, 3 x 8, and 4 x 6
17-1-24
17-2-12
17-3-8
17-4-6
Find the distance between a and b
Answer:I believe it is 2.4
Step-by-step explanation:
Dani decides to add the cost of each shirt and the cost of each bag together, and then multiply by seven to find the total cost. Write an algebraic expression for the total cost of the gifts using Dani’s method. Remember, use t and b as your variables. (3 points)
Answer:
Total cost of 7 pair = 7(t + b)
Step-by-step explanation:
Given:
Cost of each shirt = t
Cost of each bag = b
Number of pair = 7
Find:
Total cost
Computation:
Total cost of each pair = t + b
Total cost of 7 pair = 7(t + b)
If an island only residents are penguins and beans and if there’s 18 heads and 50 feet on the island how many penguins in bears
wich fraction is equivalent to 2/8
Answer:
1/4
Step-by-step explanation:
Simplified the answer would be: 1/4 - Once you divide 2 and 8 by GCF of 2
If you were finding larger numbers some choices could be: 4/16, 10/40, 8/32...etc.
Which of the following values is NOT equal to 11(7-1)?
3 x 22
5 + 1(22-10)
6 x 7 + 8 x 3
1084 - 1018
(6+5)6
Answer:
5 + 1(22-10)
Step-by-step explanation:
3 × 22 = 66
5 + 1(22-10) =5(12) = 60
6 × 7 + 8 × 3 = 42 + 24 = 66
1084 - 1018 = 66
(6 + 5)6 = (11)6 = 66
Answer:
5 + 1(22-10)
Step-by-step explanation:
First we need to solve for 11(7-1). Since the 7 - 1 is in the parenthesis it is what you do first. We know 7 - 1 equals 6. Since we got 6 as our answer for 7 - 1 we would take the 6 and multiply it with the 11 in the equation 11(7-1). If we would multiply 6 x 11 we would have an answer of 66.
Now we need solve each equation to see which one doesn't equal 66.
3 x 22 = 66 therefore it wouldn't be our answer.
5 + 1(22-10), we should always remember that we solve the equation with the parenthesis first. So if we would solve 22 - 10 we would get 12. Next we need to solve 5 + 1 and we should know this equals to 6. Now since we have our answer to both equation we would need to add 12 + 5 If we added those two number we'd get 17. There this would be our ANSWER.
6 x 7 + 8 x 3, we'll need to multiply 6 x 7 and then 8 x 3 after we get our answers to those equations we would need to add them and see if we would get 66 or not. So first I would multiply 6 x 7 and when I multiplied it I got 42. Next we would multiply 8 x 3 and that would equal 24. Now we need to ad 42 + 24. When we add 42 + 24 we get the answer of 66. Therefore this wouldn't be our answer.
1084 - 1018, this one would be easy to solve so we would nee to solve 1,084 - 1,018. If you don't know how to solve that it's okay! We can do it together. So if you write it in a paper or on something you could write it like I'll use a board. You would need to have 1,084 written in the top because that's the biggest number and 1,018 in the bottom because that a smaller number then 1,084. So we would nee to solve the one's place first. We wouldn't be able to solve 4 - 8 so we need to go over to the tens place and take from there now since we took from the 8 it'd become 7 and now the 4 is 14. So we'd do 14 - 8 for the ones place and we have our answer as 6. Now we need to solve the tens place 7 - 1 we know that equals 6 so we need to put 6 under our tens place. Next we go to the hundred place and do 0 - 0 and that's really easy haha it'd equal 0. So under the hundred place we can put 0 or leave it blank I left mines blank. Now finally we would do 1 - 1 and we know that equals 0 as well. So we can put 0 under our thousand place or leave it blank, I left it blank. Therefore this equals 66 so this wouldn't be our answer. Below in the picture I showed my work. :)
(6+5)6, first we do what's in the parenthesis. Which is 6 + 5 that'd equal 11. So since now we have 11 as our answer for 6 + 5 we'd need to do 11 x 6 and that would equal 66. Therefore our answer for this equation would be 66 so it wouldn't be our answer..