Let the bigger number be 'p' and the smaller number 'p'.
Since the numbers have a difference of 8, then p - q = 8
& since the larger number is two more than twice the smaller, then
p = 2q + 2
⇒ (2q + 2) - q = 8 [by substituting for equation for p]
q = 6
Since q = 6,
⇒ p - 6 = 8
p = 14
∴ the smaller number is 6 and the bigger 14
WILL MARK BRAINLIEST!
simplify 4b²−2b+7b−6b+1
Answer:
=4b^2−b+1
Step-by-step explanation:
4b2+−2b+7b+−6b+1
4b2+−2b+7b+−6b+1=(4b2)+(−2b+7b+−6b)+(1)
=4b^2−b+1
4b²−2b+7b−6b+1
solution:first combine light terms.
[tex] {4b}^{2} - 2b + 7b - 6b + 1[/tex]
light terms equal:
[tex] - 2b + 7b - 6b[/tex]
let's solve:
[tex] {4b}^{2} - 2b + 7b - 6b + 1[/tex]
[tex] = { 4b}^{2} - b + 1[/tex]
At 109°F, a certain insect chirps at a rate of 77 times per minute, and at 117°F, they chirp 101 times per
minute. Write an equation in slope-intercept form that represents the situation.
The equation that represents this situation is
Answer:
y=3x-250
Step-by-step explanation:
Slope intercept form: y=mx+b
Step 1) to find slope, use (y2-y1)/(x2-x1)
(101-77)/(117-109) = 3
m = 3
Step 2) determine y-intercept (b)
109 * 3 = 327
77-327 = -250
b=-250
y=3x-250
4. Each morning you do a combination of aerobics, which burns about 12 calories per
minute, and stretching, which burns about 4 calories per minute. Your goal is to burn
416 calories during a 60-minute workout. How long should you spend on each type of
exercise to burn the 416 calories?
22 minutes is spent doing aerobics and 38 minutes doing stretching
Let x represent the amount of time spent doing aerobics, Let y represent the amount of time spent doing stretching.
Since the goal is to do a 60-minute workout, hence:
x + y = 60 (1)
Also, 416 calories needs to be burnt hence:
12x + 4y = 416 (2)
We need to solve equation 1 and 2 simultaneously; multiply equation 1 by 4 and subtract the result from equation 2, hence:
8x = 176
x = 22 minutes
Put x = 22 in (1)
22 + y = 60
y = 38 minutes
Therefore 22 minutes is spent doing aerobics and 38 minutes doing stretching.
Find out more at: https://brainly.com/question/16763389
Which expression uses the greatest common factor to rewrite 18+6
Answer:
18+6=24
Step-by-step explanation:
Beth is taking pictures outdoors during the evening. She knows that the later it is when she takes a picture, the longer her camera's shutter has to stay open to get enough light for the picture. O A. The length of time the shutter needs to stay open is a function of how late in the evening it is. O B. The length of time the shutter needs to stay open is a function of how strong her flash is. O c. How late it is in the evening is a function of the length of time the shutter needs to stay open.
Answer:
c. how late it is in the evening is a function of the length of time the shutter needs to stay open.
Answer:
I think the answer is letter B. The length of time the shutter needs to stay open is a function of how strong her flash is.
What is 1+1?
Thought since there doesn’t seem to be any big point questions, I’d give some to ya’ll.
Answer: 2
Step-by-step explanation: Thank you
Answer:
The answer is 2
10) in a school there are 1500 students. if 60% are boys, find the numbers of boys.
Answer:
there are 900 boys in the school
15/100*1500
Need help ASAP! Directions in picture ;)
Answer:
x=5
Step-by-step explanation:
For my Homework tomorrow
Liz is shopping for a game system. Two competing stores offer deals on the system that she wants to purchase.
Where should Liz shop? Show all of your work and explain your reasoning.
Answer:
Liz should shop at the store with the item with a reasoning price in other words the one that costs less.
Step-by-step explanation:
You didn't give the stores prices but that would be what I would think.
Help help help please
Answer:
hey there,
<5=130°because of transversal line
A teacher gave a test with 50 questions, each worth the same number of points. Donovan got 39 out of 50 questions right. Marci's score was 10 percentage points higher than Donovan's. How many more questions did Marci answer correctly?
Answer:
49 all you have to do is add 10 to 39
help please, i don’t understand
I need help on 1,2 and 4
Answer:
1. 279,936
2. 727
4. 4,096
what is an equation of the line in the slope- intersepct is (0,3)
Answer:
using the formula x/a + y/b =1
a: slope intercept on the x axis
b:slope intersect on the y axis
x/0 + y/3 = 1 (since x/0 is undefined ,the slope doesn't exist and it is impossible for a slope to be linear)
compro una bicicleta y pago en tres cuotas. En el primer tramo pago 3/10 del total, en el segundo pago 4/5 del resto, y en el tercero solo tengo que pagar 21 $. ¿Cuánto cuesta la bicicleta?
does anyone know where to find this packet or the answers to this
Answer:
look up the packet name and after that put answer key
Step-by-step explanation:
.
Very urgent!!!!!
The first term of an AP is 6 and the 5th term is 18.find the number of terms in the series having a sum of 162....
With workings
And explanation
Thanks
Answer:
number of terms=9
Step-by-step explanation:
[tex]t_{1}=6\\t_{5}=18\\\\t_{n}=t_{1}+(n-1)d\\18=6+(5-1)d\\18-6=4d\\4d=12\\d=12/4=3\\s_{n}=162\\s_{n}=\frac{n}{2}[2t_{1}+(n-1)d]\\162=\frac{n}{2}[2(6)+(n-1)3]\\162 \times 2=n(12+3n-3)\\324=n(3n+9)\\3n^2+9n-324=0\\n^2+3n-108=0\\n^2+12n-9n-108=0\\n(n+12)-9(n+12)=0\\(n+12)(n-9)=0\\n=-12,9\\n=-12 (rejected)[/tex]
as number of terms can't be negative.
Answer:
PLS MARK BRAINLIEST
Step-by-step explanation:
Sn = n/2(2a+(n-1)d)
a=6
a+ 4d= 18
6 +4d= 18
4d = 12
d = 3
162= n/2(12+(n -1)3)
324=n(12 + 3n-3)
324=12n + 3n^2 - 3n
3n^2 + 9n-324=0
3n^2+ 36n-27n -324 =0
3n(n+12) -27(n+12)= 0
3n-27 =0; n+ 12=0
n=9 ; n= -12
since n can't be negative n=9
The number of terms is 9
Với n là số tự nhiêm, xét đinh lí " nếu n là số tự nhiên lẻ, thì n^2-1 chia hết cho 8". Định lí trên được viết dưới dạng P->Q
a. hãy xác định mệnh đề P và Q
b. Phát biểu định lý trên bằng cách sử dụng điều kiện cần
Answer:
Ewan
Step-by-step explanation:
ewan ko na po sorry po at
kasi hindi kopo maintindihan
tapus hindi naman po ako
magaling
it takes tania 1 1/4 hours to beat a level of her video game. Last week she played for 7 1/2 hours. How many levels did she beat last week
6-x-3=4x+12 solve for x
Answer: x =-9/5
Step-by-step explanation:
Suzie looked at the diagram at right and wrote 134%=134/200. Is she correct?
Answer:
no.
Step-by-step explanation:
134% is 134/100, or 1.34
how can you solve this problem? 3x + 14 = 59. solve for x.
Answer:
x = 15
Step-by-step explanation:
3x + 14 = 59
subtract 14 from both sides
3x = 45
divide both sides by 3
x = 15
Answer:
15
Step-by-step explanation
Subtract 14 from both sides and the do 45 divided by 3 and it gives you your answer 15
Given segment AX with point Q between A and X. AX = 25. AQ = 2y + 1. QX = 3y - 1.
We can set up an equation to solve for y using the fact that
y =
AQ =
QX =
Q
Answer:
y=5
AQ=11
QX=14
Q is not a midpoint
Step-by-step explanation:
A line segment can be divided into equal or unequal segments
The values of x, AQ and QX are 5, 11 and 14.
The given parameters are:
[tex]\mathbf{AX = 25}[/tex]
[tex]\mathbf{AQ = 2y + 1}[/tex]
[tex]\mathbf{QX = 3y - 1}[/tex]
[tex]\mathbf{AX = 25}[/tex] can be rewritten as:
[tex]\mathbf{AQ + QX =25}[/tex]
Substitute values for AQ and QX
[tex]\mathbf{2y + 1 + 3y - 1 =25}[/tex]
Execute like terms
[tex]\mathbf{5y =25}[/tex]
Divide both sides by 5
[tex]\mathbf{y =5}[/tex]
Substitute 5 for y in [tex]\mathbf{AQ = 2y + 1}[/tex] and [tex]\mathbf{QX = 3y - 1}[/tex]
[tex]\mathbf{AQ = 2 \times 5 + 1 = 11}[/tex]
[tex]\mathbf{QX = 3 \times 5 - 1 = 14}[/tex]
Hence, the values of x, AQ and QX are 5, 11 and 14.
Read more about line segments at:
https://brainly.com/question/18983323
Connie Hamm demonstrates microwave ovens at a home décor center . She is paid $35.00 per demonstration for the first 10 demonstrations and $ 45.00 for each demonstration over 10. Also , for every microwave sold , she earns $ 20.55 . What is Hamm's commission on a day in which she makes 12 demonstrations and 4 sales ?
8 1/4 = 4b - 3/4
2 step equation
Ryan has a weekend job advertising an upcoming play. He has two options for being paid. Option
A is an hourly wage of $ 7.75. Option B is a 5% commission on all money made at the play. He
plans to work 7 hours each day on Saturday and Sunday. Ryan estimates the play will make about
$2,100 this weekend. Which option gives Ryan more earnings this weekend?
Choose the correct answer below.
0.4. Option A gives Ryan more earnings this weekend.
ОВ. Option B gives Ryan more earnings this weekend.
OC. Both options give Ryan the same amount of earnings.
Answer:
Option B gives Ryan more earnings this weekend
Step-by-step explanation:
Option A = $7.75×7 hours= $54.25
Option B= 5% commission, if the play gets $2100, he will earn $105
What is the value of x in the equation
4z +16
12
= х - 4?
[tex] \frac{4x + 16}{12} = x - 4 \\ = > 4x + 16 = 12(x - 4) \\ = > 4x + 16 = 12x - 48 \\ = > 16 + 48 = 12x - 4x \\ = > 64 = 8x \\ = > x = \frac{64}{8} \\ = > x = 8[/tex]
Answer:x = 8
Anybody help with the question, please?
Write the equation for a parabola translated horizontally 5 units to the left.
The cost (c) to buy gasoline for a car varies directly to the amount of gas (g) in gallons purchased. Helen spent $16.72 on 8 gallons of gas for her car. Nathan is buying the same gasoline, but only has $10.45 to spend. How many gallons of gas can Nathan buy? How do you know?​
Answer:
5 gallons
Step-by-step explanation:
1) How much did Helen spend per gallon?
16.72/8 = $2.09/gallon
2) 2.09g = 10.45
10.45/2.09 = g