Answer:
60 pages per day.
Step-by-step explanation:
300 ÷ 5 = 60.
The difference between the areas of the figures is less than 4.
An absolute value inequality that represents this situation is ___
The solution of the inequality is ___
Answer:
1. |40 – 4x| < 4
2. 9 < x < 11
Step-by-step explanation:
We'll begin by calculating the area of each figure. This can be obtained as follow:
For triangle:
Area = ½ × base × height
Base = 8
Height = 6
Area =?
Area = ½ × 8 × 6
Area = 4 × 6
Area = 24
For Rectangle:
Area = length × breadth
Length = x – 4
Breadth = 4
Area =?
Area = (x – 4) × 4
Area = 4x – 16
Summary:
Area of triangle (Aₜ) = 24
Area of rectangle (Aᵣ) = 4x – 16
1. Writing an absolute value for the inequality.
From the question given above, we were told that the difference between the areas of the figures is less than 4. This can be written as:
Aₜ – Aᵣ < 4
Area of triangle (Aₜ) = 24
Area of rectangle (Aᵣ) = 4x – 16
24 – (4x – 16) < 4
Simplify
24 – (4x – 16) < 4
Clear bracket
24 – 4x + 16 < 4
24 + 16 – 4x < 4
40 – 4x < 4
Thus, we can write the absolute value for the above inequality as:
|40 – 4x| < 4
2. Determination of the solution of the inequality.
This is illustrated below:
|40 – 4x| < 4
Thus the above equation can be written as
– 4 < 40 – 4x < 4
Subtract 40 from both side
– 4 – 40 < 40 – 4x – 40 < 4 –40
– 44 < – 4x < – 36
Divide through by –4
– 44/–4 < x < – 36/–4
11 > x > 9
Note: the inequality sign changed because we divided by a negative number
Thus, 11 > x > 9 becomes 9 < x < 11
Therefore, the solution to the inequality is 9 < x < 11
Mark and his brother signed up for the Catch Up phone plan. They share the minutes every month equally. How many minutes can Mark use each day without going over his share
Answer:
12 minutes.
Step-by-step explanation:
Each student was asked to create an expression whose quotient is 1/3. Each student and their response can be seen in the table below. Which students have answered correctly? Select all that apply. A. Angela B. Ben C. Chris D. Denice E. Elizabeth
Answer:
Pretty sure its Chris
Step-by-step explanation:
I've done this work and the only one with the answer is him.
Maria played a game with her little sister for 2/5 hour and read her little sister a book for 5/8 hour.
What is the best estimate for the total time Maria spent with her little sister?
Drag and drop an answer into each box to correctly complete the sentences.
2/5 hour is closest to . 5/8 hour is closest to . Therefore, the best estimate for the total time Maria was with her sister is close to .
Answer:
Step-by-step explanation: 60÷8=7.5x5=37. 5
60÷5=12x2=24
24+37.5=61.5
It was exactly 61 minutesand 50 seconds
Answer:
60÷8=7.5x5=37. 560÷5=12x2=2424+37.5=61.5It was exactly 61 minutes and 50 seconds
Step-by-step explanation:
How many 2/3 cup servings are in 6 cups of cereal?
giving brainliest
Answer:
its 4
Step-by-step explanation:
What is the equation, in slope-intercept form, of the line that passes through (0, 6) and has a slope of 4 (5 points)
Answer: y=4x+6
Step-by-step explanation: you replace the variables in the equation with the variables in the point given to find b.
Answer:
[tex]y = 4x+6[/tex]
Step-by-step explanation:
Equation of a line
The equation of a line can be written in the form:
[tex]y = mx+b[/tex]
Where m is the slope of the line and b is the y-intercept. We are given the value of m=4, thus the equation becomes:
[tex]y = 4x+b[/tex]
To find the value of b, we use the point (0,6):
[tex]6=4*0+b[/tex]
Solving:
[tex]b=6[/tex]
Thus, the equation in slope-intercept form of the required line is
[tex]\boxed{y = 4x+6}[/tex]
Which ordered pair is a solution of 3x - 4y < 1
A, B, C, or D?
Round the numbers to estimate the quotient.
29 1/5 divided by 4 6/7
Which numbers should be used?
____divided by____
The estimated quotient is:
Answer:
29.2 divided by 4.9 = 6.0
Step-by-step explanation:
29.2 divided by 4.9 = 5.95918367
5.95918367 → 6.0
Key:
→ = rounded to the nearest tenth
Answer:
29 ÷ 5 the estimated quotient is 5 4/5
Step-by-step explanation:
I took the test (;
Need help. Image is attached below.
Answer:
A
Step-by-step explanation:
the only bracket that gives you x=-4 is the first one, the other one is only if the value is above -4
filling in the top one you get [tex]\sqrt[3]{5-4}[/tex] which equals 1
A teacher spent $240.75 including tax on school supplies. If the tax rate is 7%, find the price of the supplies before taxes. PLEASE HELP will mark as Brainliest
Answer:
$225.
Step-by-step explanation:
Let the price before taxes be x dollars. Then we have the equation:
x + 7% of x = 240.75
x + 0.07x = 240.75
1.07x = 240.75
x = 240.75/1.07
= $225.
When a number, half of the number, and a third of the number are added together, the
sum is 275. Find the three numbers.
Step-by-step explanation:
Let the number be x.
Half of a number is x/2 and a third of the number is x/3
ATQ,
[tex]x+\dfrac{x}{2}+\dfrac{x}{3}=275\\\\\dfrac{6x+3x+2x}{6}=275\\\\\dfrac{11x}{6}=275\\\\x=\dfrac{275\times 6}{11}\\\\x=150[/tex]
Frist no is 150
Second no is 150/2 = 75
Third no is 50
Find g(6) when g(x) = x2-5
Answer:
g(6) = 31
Step-by-step explanation:
If g(x) = x^2 - 5, that means to solve for g(6) you just have to replace the x in the equation with 6.
g(6) = 6^2 - 5
g(6) = 36 - 5
g(6) = 31
in a group of 120 students,68 had riddena bus,78 had ridden the LRT,20 had riddenthe bus and the jeep ,19 had ridden the LRT and the jeep and 15 had ridden the bus,the LRT and the jeep.
a.how many had ridden the bus only?
b.how many had ridden the LRT only?
c.how many had ridden the jeep only?
d.how many did not ride on any of the three modes of transportation?
Answer:
180
Step-by-step explanation:
Find the value of x.
i need help
Answer:
1. x=7
2. x=6
3. x=6
4. x=4
5.x=70 degrees
6. x=75 degrees
Step-by-step explanation:
My answers may not be correct.
Which of the following angles are congruent?
Answer:
angle B and angle f
Step-by-step explanation:
im not all that smart but goodluck
WILL GIVE BRAINLIEST!
The estimated total cost, y, of a child's toy is partially based on the number of batteries used, x. The cost per battery is $0.50. They toy itself costs $15. Which equation represent the situation?
a
y = 0.50x - 15
b
y = 15x - 0.50
c
y = 15x + 0.50
d
y = 0.50x + 15
Answer:
D: 0.50x+15
Step-by-step explanation:
batteries used(each)- x, so you add the x in front of 0.50 representing multiplication between the #
you are doing total cost so you are doing addition (obvously) then its a plain $15 for the toy itself therefore,
y=0.50x+15 (hope this made sense)
Can someone help me please
Answer:
i cant see the picture
Step-by-step explanation:
There is a proportional relationship between a volume measured in cups, c and the same volume measured in tablespoons, t.
3 cups are equivalent to 48 tablespoons.
What is the constant of proportionality for this relationship? What does this mean in terms of volume measured in cups, c and the same volume measured in tablespoons, t?
Answer:
We really need help someone please help us
Step-by-step explanation:
Examine this algebraic expression:
3x
4
− 2y +
3
7
What are the variables?
What are the coefficients?
3x/4 and –2y
What is the constant?
Answer:
C/ x and y
A/-2 and 3/4
B/ 3/7
Step-by-step explanation:
i got it right
The variables are x and y, the coefficients are -2 and 3/4, and the constant is 3/7 in the given algebraic expression 3x/4 − 2y + 3/7.
What is the algebraic expression?Algebraic expressions are mathematical statements that comprise at least two variables or integers.
What are arithmetic operations?Arithmetic operations can also be described via subtracting, dividing, and multiplying built-in functions.
We have been the given algebraic expression as :
⇒ 3x/4 − 2y + 3/7
Here variables are x and y
The coefficients are -2 and 3/4
The constant is 3/7
Therefore, the variables are x and y, the coefficients are -2 and 3/4, and the constant is 3/7 in the given algebraic expression 3x/4 − 2y + 3/7.
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ2
The probability of an event must have what value?
Answer:
The probability of an impossible event is 0. The probability of a possible event is 1.
Step-by-step explanation:
I don't know if this is correct but I do hope this helps either way.
Rotation is a ______?
A. Spin or turn
B.slide
C.mirror or flip
D.move
HURRY PLEASE
Answer:
A) Spin or turn
Step-by-step explanation:
On a ferris wheel, Sarah observes that it takes 45 seconds for her chair to complete a full revolution. Her chair is 30 feet from the axle of the ferris wheel.
To the nearest hundreth, Sarah's angular velocity is _____ radians per minute.
Answer:
The angular velocity is 8.38 radians per minute
Step-by-step explanation:
From the question,
It takes 45 seconds to complete a full revolution,
That is, 1rev/45secs
First, we will convert this to revolutions per minute (rev/min)
1rev/45secs = [tex]\frac{1 revolutions}{45 seconds} \times \frac{60seconds}{1minute}[/tex]
= 4/3 rev/min
Now, we will convert this to radians per minute (rad/min)
1 revolutions = 2π rad
4/3 rev/min = [tex]\frac{\frac{4}{3} rev}{min} \times \frac{2\pi rad}{1 rev}[/tex]
= 8.38 rad/min
Hence, the angular velocity is 8.38 radians per minute
One class is selling tickets for $2.50 each and has already raised $350.
• The other class is selling tickets for $3.00 each and has already raised $225.
Which equation can be used to find t, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?
Answer: 2.5t + 350 = 3t + 225
t = 250 btw
Answer:
b
Step-by-step explanation:
b
The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.
Answer:
D. Ryan found the Least Common Multiple
Answer :
D - Ryan found the least common multiple.
what is 69 to the power of 69
Answer:
goobaaaaa
Step-by-step explanation:
Answer:
7.59604031⋅10 to the power 126
Step-by-step explanation:
-7⅔+(-5½)+8¾ helpp mee
Answer:
Ughhhhhhhhh harder daddy
Step-by-step explanation:
First you let him put the penis in the hole
Please help, thank you
Answer:
1.
8x + 6y = 28
9x + 3y = 39
Set to equal y.
8x + 6y = 28
6y = -8x + 28
y = -8/6x + 28/6
y = -4/3x + 14/3
9x + 3y = 39
3y = -9x + 39
y = -9/3x + 39/3
y = -3x + 13
Set equal to each other.
-4/3x + 14/3 = -3x + 13
Combine like terms.
5/3x = 25/3
Multiply by 3/5
x = 5
Plug x in.
y = -3(5) + 13
y = -15 + 13
y = -2
(5, -2)
2.
-2x - 9y = -3
-7x - 9y= -33
Set equal to y.
-2x - 9y = -3
-9y = 2x - 3
y = -2/9x + 3/9
y = -2/9x + 1/3
-7x - 9y= -33
-9y = 7x - 33
y = -7/9x + 33/9
y = -7/9x + 11/3
Set equal to each other
-2/9x + 1/3 = -2/9x + 1/3
0 = 0
infinitely many solutions
if r= .75, this indicates??
The model below is used to represent the area of a
square with a side length of /64 units.
Answer:
8
Step-by-step explanation:
Because you can count the squares on the side or you can just do the square root of 64.
Which degree of rotational symmetry does this figure have
Answers:
A: 120
B:90
C:180
D:270
Answer:
A:120
Step-by-step explanation:
Well it's not B or C or D so the logical conclusion is that it must be A.