Anna and Hannah are reading the same book. At the beginning of the month, Anna was on page 29 and Hannah was on page 7. Anna will read 9 pages per day and Hannah will read 11 pages per day. Let
A
A represent the page of the book that Anna is on at the end of
t
t days into the month, and let
H
H represent the page of the book that Hannah is on at the end of
t
t days into the month. Write an equation for each situation, in terms of
t
,
t, and determine whether Anna or Hannah is farther along in the book after 14 days.
Answer:
Hannah
Step-by-step explanation:
Anna: Page 29 + number of pages read t days into the month
number of pages read t days in the month = 9 t times = 9 * t
Anna: 29 + 9t
Hannah: 7 + 11t using the same logic
14 days in: t = 14
Anna: 29 + 9*14 = 155
Hannah: 7 + 11 * 14 = 161
Hannah is further along
The equations for Anna's progress A = 29 + 9t and Hannah's progress H = 7 + 11t show that after 14 days, Hannah is farther along in the book with page 161 compared to Anna's page 155.
How to Apply Algebraic Equation?The equation we would write for each situation in terms of t are explained below:
For Anna:
A = 29 + 9t
For Hannah:
H = 7 + 11t
After 14 days:
For Anna: A = 29 + 9 * 14 = 29 + 126 = 155
For Hannah: H = 7 + 11 * 14 = 7 + 154 = 161
After 14 days, Hannah is farther along in the book as she is on page 161 while Anna is on page 155.
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Can someone please help me with number 49? :D ty!
Answer:
The answer is 4.5 cups I hope this helps :D
Li designed a survey to determine how comfortable students at her middle school are with fractions. There are 600 students in her middle school. The students are equally distributed among grade levels. She selected a sample of 28 students in her first-period class. Which best explains Li’s sample? random and biased random and unbiased nonrandom and biased nonrandom and unbiased.
Answer:
unbiased nonrandom
Step-by-step explanation:
By picking only people from 1st period they are not random.
They haven't said anything that would make these people biased.
Answer:
unbiased nonrandom
Step-by-step explanation:
5 What rate of interest is paid on a deposit of $2000 which earns $400
interest in 5 years?
Answer:
4%
Step-by-step explanation:
Given
I = 400P = 2000R = ?T = 5 yearsFormula
I = PRTSolving.
I = PRT400 = 2,000 × R × 5400 = 10,000 × R400 / 10,000 = R0.04 = RChange 0.04 to percent
0.04 × 100 = 4%Answer:
4%CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
B. 2
Step-by-step explanation:
1.87
11 x 17 / 100 = 1.87
Solve the system of equations
X=11+y
2x+y=19
Answer:
Step-by-step explanation:
To solve this system of equations, let's first find the value y. We can replace the x in the second equation with 11 + y, since we are told in the first equation that x is equal to 11 + y. So, let's replace x:
2(11 + y) + y = 19
22 + 2y + y = 19
22 + 3y = 19
3y = -3
y = -1
And look at that - we've found our y-value! Now, we can replace the y in the first equation with -1 to find the value of x.
x = 11 + (-1)
x = 10
So, the solution to this system of equations is (10, -1). Hopefully that's helpful!
How to solve this question?
Answer: -3
Step-by-step explanation:
The axis of symettry is basically what cuts the parabola perfectly in half. In this case draw a horizontal line right through -3 on the x-axis
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
A parabola's axis of symmetry is located at the line [tex]x=h[/tex] and essentially divides the parabola in half. The vertex is [tex](-3,4)[/tex] so the axis of symmetry is located at the line [tex]x=-3[/tex]
BRO SOMEONE PLSS HELP ME
Write the inequality that represents the possible values for x
Answer:
6x + 12 < 10
Step-by-step explanation:
The side 10 is greater than 6x+12
Can someone please explain this to me
Answer:
The answer is 4
Step-by-step explanation:
because add 4 then divided by 4
Which set of ordered pairs has a range of {0, 1,4}?
А
(0, 0), (0, 1), (4, 1)
B
(0, 2), (1, 2), (4, 2)
с
(0, 0), (0, 1), (0, 2), (0, 4)
D
(-1,0), (0, 1), (2, 1), (3, 4)
Answer:
D
Step-by-step explanation:
As you can see in the pic, range is the y-coordinate. C is not the answer bcs the range of C is {0,1,2,4}
Pls help! Will mark Branliest!! 50 points for whoever answers!!!!!!
Answer: See below
Step-by-step explanation:
Isolate x for x-2y+2z=9
3x=9+2y
[tex]x=\frac{9+2y}{3}[/tex]....(1)
Substitute (1) into the 2nd equation
[tex]\begin{bmatrix}-\frac{9+2y}{3}+3y=-4\\ 2\cdot \frac{9+2y}{3}-5y+3z=16\end{bmatrix}[/tex]
[tex]\frac{3\left(-9+7y\right)}{3}=3\left(-4\right)[/tex]
7y=-3
y=-3/7
Substitute y=-3/7
[tex]\begin{bmatrix}3z+\frac{18-11\left(-\frac{3}{7}\right)}{3}=16\end{bmatrix}[/tex]
[tex]\begin{bmatrix}3z+\frac{53}{7}=16\end{bmatrix}[/tex]
Isolate z by substituting it
[tex]3z+\frac{53}{7}=16[/tex]
[tex]\frac{3z}{3}=\frac{\frac{59}{7}}{3}[/tex]
[tex]z=\frac{59}{21}[/tex]
For x =9+2y/3 substitute z=59/21 and y=-3/7
[tex]x=\frac{9+2\left(-\frac{3}{7}\right)}{3}[/tex]
[tex]x=\frac{19}{7}[/tex]
[tex]x=\frac{19}{7},\:z=\frac{59}{21},\:y=-\frac{3}{7}[/tex]
Answer:
(1, - 1, 3 )
Step-by-step explanation:
x - 2y + 2z = 9 → (1)
- x + 3y = - 4 → (2)
2x - 5y + 3z = 16 → (3)
Add (1) and (2) term by term to eliminate x
y + 2z = 5 → (4)
Multiply (2) by 2
- 2x + 6y = - 8 → (5)
Add (3) and (5) term by term to eliminate x
y + 3z = 8 → (6)
Subtract (6) from (4) term by term to eliminate y
- z = - 3 ( multiply both sides by - 1 )
z = 3
Substitute z = 3 into (4)
y + 2(3) = 5
y + 6 = 5 ( subtract 6 from both sides )
y = - 1
Substitute y = - 1, z = 3 into (1) and solve for x
x - 2(- 1) + 2(3) = 9
x + 2 + 6 = 9
x + 8 = 9 ( subtract 8 from both sides )
x = 1
solution is (1, - 1, 3 )
find mLABC
is from Big Ideas
Answer: 50
Step-by-step explanation: add DBC and ABD to get 50 ABC is 50
write a polynomial function in standard form with the given zeros x=1,-1,-2
Answer:
y = x³ +2x² -x -2
Step-by-step explanation:
A polynomial with root q has a factor (x -q). The factored form of the polynomial is ...
y = (x -1)(x +1)(x +2)
y = (x² -1)(x +2) . . . . . . partial simplification
y = x³ +2x² -x -2
(13-(4-1)-2)+4 Help I got finals and don't understand
Answer:
12
Step-by-step explanation:
( 13-3-2) +4
= 8 +4
=12
Last year, the ratio of the ages of Mel and her friend is 3:4. Next year, the ratio will be 4:5. Form two simultaneous equations using the information above, and solve them by using the elimination method. Hence find their ages now.
Answer:
Above is the answer, coupled with detailed step-by-step explanations. Thank you!
A car slows down at -5.00 m/s2 until it comes to a stop after traveling 15.0 m. How much time did it take to stop.
Answer:
2.45 seconds to the nearest hundredth.
Step-by-step explanation:
Acceleration a = -5, distance s = 15, time = ?.
Final velocity = v = 0.
We need to use the equations of motion under constant acceleration.
v^2 = u^2 + 2as where u is the initial velocity
0 = u^2 + 2*-5*15
u^2 = 150
so u = √150
Now we use v = u + at:
0 = √150 - 5t
t = √150/5
t = 2.45 seconds.
emliy is thinking of a number which she calls n she find 1/4 of the number and then subtracts 3. write an expressions that represents emlily number.
Answer:
1/4 n - 3.
Hope this helps, sorry if it doesn't.
If s(x)=x-7 and t(x)=4x^2-x+3, which expression is equivalent to (t x s) (x)
PLEASE HELP!!!!
Simplify:
3x2 + 7xy + 9x + (-8xy) +21x2
Answer:
22 x ² − x y + 9 x
Step-by-step explanation:
The simplification is 24[tex]x^{2}[/tex] - x y + 9x and option E is correct
what is simplification?
Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter).
simplify,
[tex]3x^{2}[/tex] + 7xy + 9x + (-8xy) + [tex]21x^{2}[/tex]
3[tex]x^{2}[/tex] + 21[tex]x^{2}[/tex] + 7xy - 8xy + 9x
24[tex]x^{2}[/tex] - 1xy + 9x
hence, the simplification is 24[tex]x^{2}[/tex] - x y + 9x and option E is correct
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|2x +4| = 12; =
Can someone else me solve this please
[tex]|2x+4| = 12\\\\\implies 2x +4 = 12 ~~ \text{or}~~ 2x +4 = -12\\\\\implies 2x = 8 ~~ \text{or}~~ 2x = -16\\\\\implies x = 4 ~~ \text{or} ~~ x = -8[/tex]
Solve for b.
2/3+5=20-b
#2: Find the value of X. (GEOMETRY)
I will give brainliest to BEST answer! fake answers will be reported.
refer to attachment!
===========================================================
Explanation:
Refer to the remote interior angle theorem (some books call it the exterior angle theorem). That says we can add the two interior angles and the sum is the exterior angle that is not adjacent to either interior angle.
(interiorAngle1) + (interiorAngle2) = exterior angle
(5x) + (2x+6) = 8x-11
7x+6 = 8x-11
6+11 = 8x-7x
17 = x
x = 17
----------------
Or the slightly longer method has you follow these steps:
y = missing interior angle in the upper right corner
The angle (8x-11) and angle y are supplementary
(8x-11) + (y) = 180
y = 180-(8x-11)
y = 180-8x+11
y = -8x+191
For any triangle, the three interior angles always add to 180
(angle1)+(angle2)+(angle3) = 180
(5x)+(2x+6)+(-8x+191) = 180
-x+197 = 180
-x = 180-197
-x = -17
x = 17
where is it located on the number line
move it 0.25 units right
the distance between the points (-4, -3) and (-8, 6) to the nearest whole number.
Answer:
X1=-4,Y1=-3,X2=-8,Y2=6
=√(X2-X1)^2+(Y2-Y1)^2
=√(-8-(-4))^2+(6-(-3))^2
=√(-4)^2+(9)^2
=√(16+81)
=√97units
Translate and solve. The quotient of m and 6/7 is 5/6
Answer:
m / 6/7 = 5/6
m = 35
Step-by-step explanation:
Answer:
m = 5/7Step-by-step explanation:
The quotient of m and 6/7 is 5/6:
m ÷ 6/7 = 5/6m = 5/6 × 6/7m = 5/7Forty three fence posts are placed one yard apart. How many yards of fence is this?
Answer:
86
Step-by-step explanation:
43 x 2=86
How i can answer this question
Answer:
A. 2(x+y+1). lmk if you need any more awnsers
Samir sold 4 of his old Star Leaper video games at Trading Post Game Shop. Before he left, he spent $23.65 of his earnings on a controller. Samir had $6.35 remaining.
Which equation can you use to find the amount of money, v, Samir received for each video game? Also, can you solve for v?
The equation you can use to find the amount of money, v, Samir received for each video game is;
4v - 23.65 = 6.35 and v = $7.5
Algebraic word problemsSamir sold 4 oh his old star leaper video games.
He spent $23.65 of his earnings on a controller and has $6.35 left.If the amount received for each video game is v, the total cost of the 4 video games is; 4v
He spent $23.65 out of 4v and is left with $6.35Thus, this equation is;
4v - 23.65 = 6.35
Solving this gives;
v = $7.5
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PLEASE EXPLAIN!! I WILL GIVE BRAINLIEST TO WHOEVER EXPLAINS!
If the relationship is proportional, what is the missing value from the table?
–18
–15
15
18
If the measure of base angle ABC is 75 , what is m
The sum of the angles of any triangle is 180°.
75° + 75° + m<BAC = 180°
m<BAC = 180° - (75° + 75°) = 30°