Answer:
Parul's age=7 years
Atul's age=19 years
Step-by-step explanation:
Let present age of Parul be x
Let present age of Atul be y
3 years ago
Parul's age=x-3
Atul's age=y-3
5 years after
Parul's age=x+5
Atul's age=y+5
According to question
y-3=4(x-3)
y-3=4x-12
y-4x+9=0.....(1)
y+5=2(x+5)
y+5=2x+10
y-2x-5=0......(2)
from(1),y=4x-9
Put y in (2)
4x-9-2x-5=0
2x-14
2x=14
x=7
y=19
Parul's age=7 years
Atul's age=19 years
What is the quotient (91y3 + 21y2 − 35y) ÷ 7y?
answer:13yexponent2+3y−5
If you need 10 cups of flour for every 6 cups of sugar, how much sugar do you need if you have only one cup of flour?
Answer:
2/3
Step-by-step explanation:
1/(3/4)=4/3(4/3)2.5
10 cups/=3.333
Someone please answer this quickly!
Note: T is the center of the circle.
Here is my answer. I hope it is helpful.
determine which ordered pair is a solution to the system of equations. A. (-2,-1) B. (-1,-2) C. (2,7)
Answer:
C. (2, 7)
Step-by-step explanation:
It is fairly easy to try the offered points in the equations to see which works.
A. (x, y) = (-2, -1); -4(-2) +2(-1) = 8 -2 = 6; 9(-2) -3(-1) = -18+3 = -15 ≠ -3
__
B. (x, y) = (-1, -2); -4(-1) +2(-2) = 4 -4 = 0 ≠ 6
__
C. (x, y) = (2, 7); -4(2) +2(7) = -8 +14 = 6; 9(2) -3(7) = 18 -21 = -3
(2, 7) is a solution to the system of equations.
_____
If you want to solve the equations, it can work to put each in standard form by dividing out the common factor.
2x -y = -3
3x -y = -1
Subtracting the first from the second gives ...
(3x -y) -(2x -y) = (-1) -(-3)
x = 2 . . . . . matches choice C
A group of ten friends played a number guessing game. They were asked to pick a number between 1 and 20. The person closest to the target
number wins. The ten people made these guesses:
Guess
2
15
10
8
12
19
20
Ол
7
9
9
Absolute Guessing Error
a. The actual number was 14. Which table correctly shows the absolute guessing errors? Select Choice
Answer:
Step-by-step explanation:
69
Jossems cell phone cost
him $21 per month plus $3 for every 1GB of data downloaded. what is the limit to the number of GBs he can download to stay within his monthly budget of $30.
Answer:
Joe can only use 3GB of Data. Bill is 21 .
[tex]21 + 9 + 30[/tex]
[tex]1gb \: \: = 3[/tex]
3*9 = 93 ( 3 ) + 21 = 30Step-by-step explanation:
Hope this helps !!cellus
Suppose that y varies directly with x
and y = 3 when x = 9. What is y
when x = 18?
y = [ ?
]
I really suck at these problems.
Answer:
y = 6 when x = 18
Step-by-step explanation:
The appropriate formula for this direct proportion is y = kx, where k is the constant of proportionality.
We know y = 3 when x = 9: 3 = k(9)
This yields k = 3/9, or k = 1/3
Then the formula is y = (1/3)x
and when x = 18, y = (1/3)(18) = 6
y = 6 when x = 18
64PT AND BRAINLIEST! Which of the following would produce a graph with no solution?
| x | = − 5
| x | < 5
| x | < 5
| x | = 0
Answer:
| x | = − 5
Step-by-step explanation:
Let's solve your equation step-by-step.
| x | = − 5
Solve Absolute Value.
| x | = − 5
No solutions. (Absolute value cannot be less than 0.)
Answer:No solutions.
I hope this helps :)
Answer:
| x | = -5
Step-by-step explanation:
Let's think about absolute value, the number we stick in side of these magical type "brackets" (so to speak) is always going to end up being positive because absolute value is the distance of a number from 0. Therefore, we know that because "x" cannot be negative in this scenario, the absolute value of x cannot be equal to -5 and therefore would produce a graph with no solution!
Solve the equation for x.
2(2) + x = 4
[tex]2(2) +x =4\\\\\implies 4 +x =4\\\\\implies 4 +x -4 = 4-4\\\\\implies x = 0[/tex]
Answer:
x = 0
Solve solution:
Question:
2(2) + x = 4
Multiply:
2 x 2 + x 4
Cancel equal terms:
4 + x = 4
Answer: x = 0
Evaluate –10 • x • 5 when x = –1.
–50
–15
6
50
what is the vaule of y when x=28
Answer:
62
Because u do 180-90-28=62
can someone plz help with math?!
Answer:
1. L = 3D +59
2. 158 miles
Step-by-step explanation:
For the second part:
Since each day 3 miles of the road is being added, we can simply multiply the number 33 by 3, getting 99. If the road started with 59 miles, we need to add 59 to 99, getting 158 miles.
1.25 as a fraction is what
Answer:
5/4
Step-by-step explanation:
Snefuru’s north pyramid at Dahshur, Egypt, is shown. It’s square base has a side length of 220 m. The height of the pyramid is 105 m. Determine it’s surface area.
The answer is 115,324 m^2, show how you got your answer please. :))
Answer: 115,324 m^2
Step-by-step explanation:
To find the surface area, we need height of the triangle face of the pyramid. We are given the height of the pyramid itself (105 m). To find the height of the triangle face, we have to use the Pythagorean theorem (a^2 + b^2 = c^2).
In the diagram attached, the height of the triangle face is the hypotenuse of the blue triangle: 110^2 + 105^2 = c^2 where c = about 152 m (ROUNDED)
Now that we have the height of the triangle face, we can use the triangle area formula: 1/2(base)(height) to find the area of one of the triangle faces.
1/2 (220)(152) = 16,720 m^2
Since there are four triangle faces, we need to multiply this number by four.
16,720(4) = 66880 m^2.
Now we just have to add this to the area of the square base which is:
(220)(220) = 48400 m^2
66880 + 48400 = 115,200 m^2 (which is very close to the answer provided - if 152 wasn't rounded, 115,324 would be your answer)
At a delicatessen there were 20 different kinds of cheese and 30 kinds of meats. What is the ratio of cheese to meats at this delicatessen?
Answer:
2:3
Step-by-step explanation:
Simply divide each by 10
20/10=2
30/10=3
and your ratio is 2:3
30 points.
the midpoint of AB is (4,8) and the coordinates of point A are (-6,4) what are the coordinates of point B?
Answer:
B = (14, 12)
Step-by-step explanation:
As you know, the midpoint is the average of the end point coordinates:
M = (A +B)/2
Solving for B gives ...
2M = A + B
B = 2M -A
B = 2(4, 8) -(-6, 4) = (8+6, 16 -4)
B = (14, 12)
Question in the picture
Which of the x-values are solutions to the following inequality?
X < 365
You are baking a casserole. The recipe calls for of a cup of beans to make 5 servings. How many cups of beans would you need to make 25 servings? Enter your answer.
Answer:
5 cups
Step-by-step explanation:
Hi please help !!! With steps as well please!
Answer:
a) m = 60°, n = 30°
b) m = 20°, n = 45°
Step-by-step explanation:
a)The top and bottom horizontal lines are parallel, so angle m is an alternate interior angle congruent to the interior angle(s) of the equilateral triangle. Those angles are all 60°.
Angle n is the complement of angle m, so is 90°-60° = 30°
m = 60°, n = 30°
__
b)The base angles of the isosceles right triangle are n = 45°. (This should be a memorized fact. It is computed as (180° -90°)/2 = 45°.)
The base angles of the isosceles acute triangle are (180°-50°)/2 = 65°. Angle m is the difference between one of these and angle n.
m = 65° -45° = 20°
m = 20°, n = 45°
_____
Additional comment
The sum of angles of a triangle is 180°. The "base" angles of an isosceles triangle (one with two equal sides) are equal. If 'a' is the third angle, and 'b' are the base angles, you have ...
a + 2b = 180°
2b = 180° -a
b = (180° -a)/2 . . . . . . the relation used above
Please help
Simplify :3x^5+4x^2-8x^5+3x^2-8x
Answer:
-5x^5 + 7x^2 - 8x
Step-by-step explanation:
Add like terms:
3x^5 - 8x^5 = -5x^5
4x^2 + 3x^2 = 7x^2
What is the length of side a?
Thank u
Need help ASAP! Directions in picture;)
Answer:
x+43⁰+52⁰=180⁰ [being triangle]
x⁰+95⁰=180⁰
x⁰=180⁰-95⁰
x⁰=85⁰
The follow through is where you "pause" and hold the bow still for a few seconds after releasing the arrow.
True or false
True-... i think because like i am not sure-
what is the answer for this question 7(x+4)-7=48-2x
Answer:
x = 3
Step-by-step explanation:
7(x + 4) - 7 = 48 - 2x ← distribute parenthesis and simplify left side
7x + 28 - 7 = 48 - 2x
7x + 21 = 48 - 2x ( add 2x to both sides )
9x + 21 = 48 ( subtract 21 from both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Answer: the answer is x=3
Step-by-step explanation:
step 1: distribute the 7 with the parenthesis we get 7x+28-7=48-2x
step 2: subtract 28-7 which gives us 21 now the equation is 7x+21=48-2x
step 3: for the other side which is the 48-2x put the x first so the equation will look something 7x+21=-2x+48
step 4: subtract 21 on both sides 48-21=27 and add 2x on both sides 7x+2x=9x
step 5: 9x=27 now divide both sides by 9 so 27/9= 3
Simplify (5^3)^6 leaving your answer in index form.
Answer:
5^18.
Step-by-step explanation:
By the law of indices:
(a^b)^c = a^(bc)
So (5^3)^6
= 5^(3*6)
= 5^18.
Solve the inequality and graph its solution
Answer:
Step-by-step explanation:
6.
-4(3+n)>-12
-12-4n>-12
-4n>0
n<0
open circle at 0 and left of 0 on the number line.
8.
-3(r-4)≥0
divide by -3
r-4≤0
r≤4
solid line starting from 4 and extends left .
5.
-b-2>8
-b>10
b<-10
open circle at -10
and extends left.
7.
[tex]4+\frac{n}{3} <6\\multiply~by~3\\12+n<18\\n<18-12\\n<6[/tex]
open circle at 6 and extends left .
Answer:
Hey There~5) b<-10
From -10 to left
6) n<5
From 4 to 1
7) n<6
From 5 to -2
8) r<=4
From 4 to -4
Answer attached__Step-by-step explanation:
Hope it helps you ツthe perimeter of a rectangle is 1000m. if the length is given as x , find the width in terms of x
[tex]\text{Given that,}\\\\\text{Perimeter = 1000 m}\\\\\implies 2(\text{Length} + \text{Width}) = 1000~ \text m\\\\\implies (x+ \text{Width}) = \dfrac{1000}2 =500~ \text m\\\\\implies \text{Width} =(500 -x) ~\text{m}[/tex]
Out of the people who called in during a ratio station poll, 9 out of 25 chose pop as their favorite type of music. 1 out of 5 callers chose rock, 6 out of 75 chose classical, and 18 our of 50 callers chose R&B. Which pair of ratios are equivalent?
Brainliest to a person who gets it right. Need Answer ASAP please!!
Mr. Allen says that the equation y=2x+1 has a solution of (4, 9). Is Mr. Allen right or wrong?
Answer:
right
Step-by-step explanation:
y=2x+1
9=2(4)+1
9=8+1
9=9