Subtract the cost of the pencils from the total cost. This will be he amount she spent on erasers. Then divide that amount by the cost of each eraser to get the total.
4.25 - 1.75 = 2.50 spent on erasers
2.50 / 0.25 = 10
She bought 10 erasers.
Ashley uses a cup of water and 2 cups of sugar to make a large batch of emerging bird Fugue what ratio correctly compares the amount of water she uses to the amount of sugar she uses
Answer:
1:2
Step-by-step explanation:
She uses 1 cup of water and 2 cups of sugar so
1:2 or 1/2.
The volume of a rectangular prism is 2x^3+9x^2-8x-36 with height x + 2. Using synthetic division, what is the area of the base?
Answer:
Area of the base = [tex]2x^2+5x-18[/tex]
Step-by-step explanation:
We know that volume of rectangular prism = (Area of base) x (Height)
or [Area of base] = [Volume]/[Height]
So basically we need to divide given area by given height to find the answer.
given height is (x+2) that means (x+2) must be factor of volume equation
or x=-2 must be root of volume equation so write down coefficients of volume equation then we divide by -2 as shown in attached picture.
Last digit on the right is always remainder.
Remaining coefficients {2, 5, -18} will give the area equation: [tex]2x^2+5x-18[/tex]
Hence final answer is:
Area of the base = [tex]2x^2+5x-18[/tex]
can sombody explain how to solve this and give me the answer please
Answer: 12 texts per dollar.
The slope of the line is 1/5
Step-by-step explanation: If Ruby can send 48 text messages for $4, we divide 48 by 4 to get amount of texts per dollar: 12. Ruby can send 12 text messages for $1.
To figure out the slope of a line, use the formula y2 - y1 / x2 - x1.
-4 - (-9) / 22 - (-3) = 5 / 25 (rise over run)
Simplify to 1/5
Tom and Jack “power walk” towards each other at the same time. Tom’s walking speed is 2.3 m/s, Jack’s speed is 2.2 m/s. They meet each other 1.5 minutes after they started. How far apart were they to begin with?
Answer:405 meters apart. I think the m means meters, if it meant miles that would be incredible :)
Step-by-step explanation: 2.3 times 1.5 minutes is 90 seconds, so 2.3 times 90=207. 2.2 times 90 =198. 207+198=405
What is the name of the special point that a line has to pass through in order to be considered proportional
Solution:
In order to be considered proportional , a line must pass through Origin.
Equation of any line passing through origin is given by:
→ y = k x, k -= Slope of any line passing through origin.
[tex]\frac{y}{x}=k[/tex], Considering k as a proportionality constant.
Special Point = Origin (0,0)
What is the volume of a cuboid when it is 4m by 4cm by 7cm
Answer: The volume of the cuboid is: " 11 ,200 cm³ " .
_________________________________________________
Step-by-step explanation:
____________________________________________________
The formula for the volume of a "cuboid" ;
which is given in: "cubic units" ; or, "units³ " ; is:
____________________________________________________
→ Volume, "V" = length (L) * width (w) * (height) ;
____________________________________________________
→ The 3 (three given values are "4m" , "4 cm" and "7cm" .
We need the units of measurement to be equal; so we need to convert the " 4m " to "cm" :
Note that: " 1 m = 100 cm " ; {exact conversion} ;
So: 4m ( 100 cm / 1 m) = (4 * 100) cm = 400 cm.
_____________________________________________________
Now, we can plug these values and solve for the volume; in units of "cm³ " ;
_____________________________________________________
V = 400 cm * 4 cm * 7 cm ;
= 400 * 4 * 7 * cm * cm * cm ;
= 400 * 4 * 7 cm³ ;
= 1600 * 7 cm³ ;
= 11, 200 cm³
_____________________________________________________
The answer is: " 11 ,200 cm³ " .
_____________________________________________________
Consider the functions shown below.
Determine which of the following statements is true.
A.
As the value of x decreases, both the values of f(x) and g(x) will eventually be negative.
B.
At x = -1, f(x) = g(x).
C.
For x ≤ 1, g(x) < f(x).
D.
As the value of x increases, the value of g(x) will eventually exceed the value of f(x).
Answer: D
Step-by-step explanation:
A. False
f(x): x → -∞, y → -∞
g(x): x → -∞, y → 1
B. False
at x = -1, f(x) = -7
at x = -1, g(x) = 1.5
C. False
refer to A
g(x) → 1 and f(x) → -∞ so g(x) > f(x)
D. TRUE
It is hard to tell from the graph so plug in a value to check.
f(10) = 5(10) - 2
= 50 - 2
= 48
g(10) = 2¹⁰ + 1
= 1024 + 1
= 1025
g(10) > f(10)
how much higher is 500 than -400
Answer:
100
Step-by-step explanation:
I subtracted the 2 numbers
Answer:
900
Step-by-step explanation:
500 - (-400)=900
Explain why |-3| + |9| represents the distance between the points (-3,-5) and (9,-5)
Answer:Sample Response: The points are on a horizontal line, parallel to the x-axis. The absolute value of −3 represents the distance from (−3, −5) to the y-axis, and the absolute value of 9 represents the distance from the y-axis to (9, −5).
Step-by-step explanation:
|-3| + |9| represents the distance between the points (-3,-5) and (9,-5) because the two points form a horizontal line
Distance of a lineThe line passes through the points (-3,-5) and (9,-5)
That is, [tex]x_1=-3, y_1=-5, x_2=9, y_2=-5[/tex]
Since [tex]y_1=y_2=-5[/tex], the line is a horizontal line
Horizontal line distanceFor a horizontal line passing though the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_1)[/tex], the distance(D) between the two points is given as:
[tex]D=|x_1|+|x_2|\\\\ D=|-3|+|9|[/tex]
Therefore, |-3| + |9| represents the distance between the points (-3,-5) and (9,-5) because the two points form a horizontal line
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If Carlos ran 3 miles in 21 minutes, how long did it take him to run 1 mile?
Answer:
7 minutes
Step-by-step explanation:
you have to set up a proportion
Another one
Find the value
Answer:
x=8
Step-by-step explanation:
15+x = 23
Subtract 15 from each side
15-15 +x = 23-15
x = 8
chapman’s brickyard sells brick and blocks. a brick costs .38 dollars and a block cost 1.56 dollars. the brickyard filled with a 24.80 dollars order, which contained 28 items
Answer:
The number of bricks is 16 and the number of blocks is 12
Step-by-step explanation:
Let the number of bricks be x and blocks be y.
Cost of each brick = $0.38
Total cost of x bricks = 0.38*x
Cost of each block = $1.56
Total cost of y blocks = 1.56*y
Total amount spent for the brickyard = $24.80
So,
Total cost of x bricks + Total cost of y blocks = Total amount spent for the brickyard
=> 0.38x + 1.56y = 24.80 ____equation (1)
Total number of items (bricks+blocks) = 28
So,
Number of bricks + Number of blocks = Total number of items
=> x + y= 28 ____equation (2)
We will solve the two equations by the method of elimination.
Let's multiply equation 2 by -0.38
(-0.38)*x + (- 0.38)*y = (-0.38)*(28)
=> -0.38x - 0.38y = -10.64 ____equation (3)
Adding equation 1 to the equation 3, we get
-0.38x - 0.38y + 0.38x + 1.56y = -10.64 + 24.80
Cancelling out -0.38x and +0.38x on the left side, we get
1.56y - 0.38y = 24.80-10.64
=> 1.18y = 14.16
Dividing both sides by 1.18, we get
[tex]\frac{1.18y}{1.18}[/tex] =[tex]\frac{14.16}{1.18}[/tex]
=> y = 12
Plugging in y=12 in the equation 2, we get
x + y= 28
=> x + 12 =28
Subtracting 12 from both sides, we get
x+ 12 -12 = 28- 12
Cancelling out the +12 and -12 from the left side, we have
x = 16
So, the number of bricks is 16 and the number of blocks is 12.
the amusement park also has water rides 30% of the 80 rides are water-related how many water-related rides does the park have
Answer:
24.
Step-by-step explanation:
So you need to fine 30% of 80.
I did the following method:
-Break it down, and do, 80 -/- 10 which is 8, now you have 10%, and you need to find 30, times your 10% by 3, so 24.
-Therefore, 24 out of 80 rides at the amusement park are water-related.
Hope this helps!
--Emilie Xx
By using the percentage given, we can calculate that there are 24 water-related rides at the amusement park out of the total 80 rides.
Explanation:The question is asking how many of the total rides at the amusement park are water-related. This is a problem related to percentage. We know that 30% of the park's 80 rides are water-related. To find out the exact number, we multiply the total number of rides (80) by the percentage of water rides (30%), but since percentage is in terms of 100, we first convert the 30% to a decimal by dividing it by 100. This gives us 0.30. We then multiply 80 (the total number of rides) by 0.30.
Here's the calculation: 80 rides * 0.30 = 24 rides.
So, there are 24 water-related rides at the amusement park.
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Can you help me answer 1-11?
Answer:
1. h Multiplication property for inequality
2. b Addition property for inequality.
3. i Set builder
4. f Intersection
5. k Union
6. j Subtraction property for inequalities
7. d Division property for inequality.
8. e Greater than
9. g less than
10. c compound
11. a Absolute value inequality.
Step-by-step explanation:
1/2x ≤ -5 Multiplying by 2 on both sides of the inequality
x ≤ -10
2) 8 > 4 Adding 5 on both sides of the inequality.
8 + 5 > 4+5
13 > 9
3) {h/h > 43} set builder
4) x ≥ -3 or x < -10 Intersection
5) x ≥ -4 and x < 2
6) 4x - 1 < 7 Subtract 3 on both sides
4x - 1 - 3 < 7 - 3
4x - 4 < 4
7) -3x < 9 Divide by -3 on both sides
x > -3
8) > This sign means greater than
9) < This an operation sign means less than
10) 7 > x > 1 This means that x x, 7 and x > 1.
11) /x + 6/ > 12
This means that:
(x + 6) > 12 or - (x + 6) > 12. Absolute value inequality.
Determine the degree of the polynomial:
–3.1ax^4+2.5ax+2ax^4+1.1ax^4–0.5ax–2ax
The degree of the polynomial is 4.
To determine the degree of a polynomial, we look for the highest power of the variable present in any of its terms. Let's break down the given polynomial and identify the terms:
[tex]\[ -3.1ax^4 + 2.5ax + 2ax^4 + 1.1ax^4 - 0.5ax - 2ax \][/tex]
Here, we have terms with different powers of [tex]\( x \): \( x^4 \), \( x \),[/tex] and constant terms.
Combine like terms:
[tex]\[ (-3.1a + 2 + 2.1 + 1.1 - 0.5 - 2)ax^4 \][/tex]
[tex]\[ = (-3.1a + 2 + 2.1 + 1.1 - 0.5 - 2)ax^4 \][/tex]
[tex]\[ = (-0.4a)ax^4 \][/tex]
Now, let's analyze the combined term [tex]\( (-0.4a)ax^4 \)[/tex].
The highest power of ( x ) in this term is 4. So, the degree of the polynomial is 4.
Therefore, the degree of the polynomial is 4.
Use what you know about the sum of the angles in a triangle together with the properties of supplementary angles to calculate the missing angles in the figure below.
Answer:
a = 35°; b = 50°; c = 85°; d = 30°
Step-by-step explanation:
a = 35° because a + 80 + 65 = 180.
b = 50° because b+ 35 + 95 = 180.
c = 85° because c + 95 = 180.
d = 30° because d + 85 + 65 = 180.
1. 800 divided by 4
2. 4 divided by 800
3. 440 divided by 24
Please show work. I have to show my work
1. 800 divided by 4 equals 200.
2. 4 divided by 800 equals 0.005.
3. 440 divided by 24 equals 18 remainder 2, which can also be written as 18.2 as a decimal.
How did we get these values?Each division problem is solved below:
1. 800 divided by 4:
To divide 800 by 4, you divide the dividend (800) by the divisor (4):
200
-------
4 | 800
- 8
---
0
Therefore, 800 divided by 4 equals 200.
2. 4 divided by 800:
To divide 4 by 800, you divide the dividend (4) by the divisor (800):
0.005
----------
800 | 4.000
- 0
-----
4.000
Therefore, 4 divided by 800 equals 0.005.
3. 440 divided by 24:
To divide 440 by 24, you divide the dividend (440) by the divisor (24):
18
------
24 | 440
- 24
------
20
- 18
------
2
Therefore, 440 divided by 24 equals 18 remainder 2, which can also be written as 18.2 as a decimal.
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Fiona had $50 to go canoeing . She had to pay an $18 deposit in addition to the hourly rate of $10.50 per hour. Write and solve an inequality to find the greatest number of hours for which she could rent a canoe. Pls show work!
Answer:
3 hours
Step-by-step explanation:
$50-$18=$32
$32/$10.50=3.04761904762--->3 hours
Six donuts cost a total of $3.54 what is the cost for one donut? Six donuts cost a total of $3.54 what is the cost of one donut?
Answer:
Step-by-step explanation: the cost of one donut is $0.59 because when you divide 3.54 by 6, you get 0.59.
The cost for one donut will be the sixth part of $3.54 thus it will be $0.59 or 59 cents.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Division = divide any two numbers or variables called division.
For example 4/8
As per the given,
Six donuts cost a total of $3.54
Cost of one donut = $3.54/6 = $0.59 = 59 cents
Hence "The cost for one donut will be the sixth part of $3.54 thus it will be $0.59 or 59 cents".
To learn more about the arithmetic operators,
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a park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers , what is the area od the park
Step by step explanation: 12.5 x 4
Answer: 50.
If 2 cm represents 9 cm on a scale drawing, how many meters do 15 cm represent
Answer: 22 cm
Step-by-step explanation:
Which letter represents where the number 29 lies?
gretchen made 189 cookies in 4.5 hours what was her rate in cookies per hour
Answer: 42 cookies/1 hour
Step-by-step explanation: Since Gretchen made 189 cookies in 4.5 hours, we set the equation up as 189/4.5. To get cookies per hour, we divide 189 by 4.5, which is 42/1. This means that Gretchen can make 42 cookies in 1 hour.
which of these numbers is composite?7,9,23,47,67
Answer:9 is the only one
Step-by-step explanation:
Which is a disadvantage of using cash as a payment method? Accepted almost everywhere. Has no fees or interest. Must hand deliver all payments. Fraud is rare except occasional counterfeiting.
Answer:
i would say the last choice
The disadvantage of using cash as a payment method is the requirement to hand deliver all payments. This method is less convenient and secure compared to electronic payments, highlighting the shift towards a cashless society.
Explanation:The question asked is, "Which is a disadvantage of using cash as a payment method?" The correct answer to this question is that one must hand deliver all payments when using cash. This is a significant disadvantage compared to electronic forms of payment. In our increasingly digital world, methods like credit cards, online banking, and mobile payment platforms like Apple Pay introduced in 2014 offer the convenience of making payments from virtually anywhere without the need to physically handle currency.
This shift towards a cashless society highlights the limitations of cash transactions, especially in terms of convenience and security. Moreover, in scenarios such as paying bills, shopping for large purchases, or conducting business transactions, the logistical challenges of using cash become even more apparent. Electronic payments, on the other hand, allow for easier transaction tracking and less physical risk, making them more appealing for both consumers and businesses.
What equation represents the proportional relationship displayed in the table?
X: 0, 3, 8, 13
Y: 0, 18, 48, 78
Enter your answer in the box to complete the equation
y=___ x
[tex]\text{If x and y are proportional, then the quotient of x and y is constant}\\\\\dfrac{y}{x}=const.=a\to y=ax\\\\x=3,\ y=18\to\dfrac{y}{x}=\dfrac{18}{3}=6\\\\\text{therefore}\ \boxed{y=6x}\\\\\text{Check:}[/tex]
[tex]x=0\to y=6(0)=0\\\\x=3\to y=6(3)=18\\\\x=8\to y=6(8)=48\\\\x=13\to y=6(13)78\\\\\boxed{y=6x}[/tex]
The ratio rock music to total CDs that Ella Owens is 15/40. Paolo has 50 rock music CDs the ratio of rock music to total CDs in his collection is equivalent to the ratio of rock music to total CDs in ours collection how many CDs do they own ? Explain ?
Answer: There are 184 total number of CDs they own.
Step-by-step explanation:
Since we have given that
Ratio of rock music to total CDs that Ella Owens is
[tex]15:40\\\\=3:8[/tex]
Now, Number of rock music CDs Paolo has = 50
According to question, the ratio of rock music to total CDs in his collection is equivalent to the ratio of rock music to total music to total CDs in ours collection,
[tex]15:40=3:8[/tex]
Let the total number of CDs be x
So, our equation becomes,
[tex]\frac{3}{11}\times x=50\\\\x=\frac{50\times 11}{3}\\\\x=\frac{550}{3}\\\\x=183.34[/tex]
Hence, there are 184 total number of CDs they own.
WILL GIVE BRAINLIEST
graph f(x) = -1/2x - 5
please give me the points to put on the graph
thanks :)
Answer:
(-10, 0) and (0,-5)
Step-by-step explanation:
For the function [tex]f(x)=-\dfrac{1}{2}x-5,[/tex] find x-intercept and y-intercept:
1. when y=0, then
[tex]0=-\dfrac{1}{2}x-5,\\ \\\dfrac{1}{2}x=-5,\\ \\x=-10;[/tex]
2. when x=0, then
[tex]y=-\dfrac{1}{2}\cdot 0-5,\\ \\y=-5.[/tex]
You get two points (-10, 0) and (0,-5). Plot them on the coordinate plane and connect, obtained line is the graph of the linear function [tex]f(x)=-\dfrac{1}{2}x-5.[/tex]
what is 95 percent
of 60?
57
95% is 19/20 as a fraction. 60/20 is 3. Multiply 19 by 3 to get 57. At least that how I do it. Hopefully this helped you.
PLEASE HELP BRAINLIEST WILL BE GIVEN!!! Convert the following:
Round to the nearest hundredth
a) 7 miles to feet
b) 22 centimeter to inches
c) 6 gallons of water to ounces
Type your answer below: