Answer:
a) 2/5
b) 1/3
c) 3/10
Step-by-step explanation:
a)12;30
= 12/30
= 2/5
b)9;27
= 9/27
= 1/3
c) 15;50
= 15/50
= 3/10
Stacy is covering the box below with sticky wrapping paper. If the paper cost 2 cents per square centimeter, how much will it cost to cover the entire box.
Given:
The shape of box is a right triangular prism.
Paper cost = 2 cents per square centimeter
To find:
The cost to cover the entire box.
Solution:
In the given right triangular prism, we have 3 rectangle surfaces and 2 triangular surfaces.
Area of a rectangle is
[tex]Area=length\times width[/tex]
Area of rectangle with length 4 cm and width 3 cm is
[tex]A_1=4\times 3=12\text{ cm}^2[/tex]
Area of rectangle with length 4 cm and width 4 cm is
[tex]A_2=4\times 4=16\text{ cm}^2[/tex]
Area of rectangle with length 4 cm and width 5 cm is
[tex]A_3=4\times 5=20\text{ cm}^2[/tex]
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
Area of triangle with base 3 cm and height 4 cm is
[tex]A_4=\dfrac{1}{2}\times 3\times 4[/tex]
[tex]A_4=\dfrac{12}{2}[/tex]
[tex]A_4=6\text{ cm}^2[/tex]
Bottom and top triangular surfaces are equal.
[tex]A_5=A_4=6\text{ cm}^2[/tex]
Now, total surface area of the box is
[tex]A=A_1+A_2+A_3+A_4+A_5[/tex]
[tex]A=12+16+20+6+6[/tex]
[tex]A=60\text{ cm}^2[/tex]
Paper cost = 2 cents per square centimeter
Cost of 60 square centimeter paper is
[tex]60\times 2=120\text{ cents}[/tex]
Therefore, the cost to cover the entire box is 120 cents or $1.2.
which expression represents five times the sum of a number n and 12
Answer:
5n + 60
Step-by-step explanation:
5 × (n + 12) = 5 × n + 5 × 12 = 5n + 60
This subject is on integers
Answer:
|-8| = 8
Step-by-step explanation:
legit just the opposite of the integer.
Paul uses the function y = 7x + 30 to model the situation. What score does Paul’s model predict for 3 hours of homework?
Answer:
7 he gets 7 becuse he only did 7#43/6/h
Step-by-step explanation:
What is the slope of the line graphed above?
Answer:
m=3, or in y-intercept form, y=3x-3
Iesha is headed to the grocery store. She needs to buy eggs. If a dozen (12) eggs cost $10.68 how much will one egg cost at the same rate?
Answer:
$0.89 in other words 89 cents
Step-by-step explanation:
$10.68/12= 0.89
Combine like terms: 34z-7+15z
Answer:
49z - 7
Step-by-step explanation:
like term are having same variable and power.
By these explanation 34z+15z are added and -7 is keep as it is
Find the area and perimeter of this shape.
PLEASE show step-by-step.
Answer:
52 ft.
Step-by-step explanation:
there are 8 side that are 3 ft: 3×8=24
there are 4 sides that are 7 ft: 7×4=28
add it and you get: 24+28= 52
The area and perimeter of this shape are 133 ft² and 52 ft respectively.
What is area and perimeter?Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
Given that, a figure we need to find its perimeter and the area,
The figure we will be divided into 4 rectangles with sides 7 ft and 3 ft and a square, with side 7 ft
So, the area of the square = side²
= 7² ft²
= 49 ft²
Now, the area of a rectangle = length x width = 4 x 3 x 7 [since there are 4 rectangles]
= 4 x 3 x 7 = 84 ft²
The whole area = 84 + 49 = 133 ft²
Now, the perimeter = sum of the sides = 7 x 4 + 3 x 8 = 28 + 24 = 52 ft
Hence, the area and perimeter of this shape are 133 ft² and 52 ft respectively.
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Determine the value for x
Answer:
5 im pretty sure
Step-by-step explanation:
if im right, can you mark me brainliest?
simplify m^12/m^3 pleaseeeee help meeeee
Answer:
m^12-3
m^9 is the answer
Step-by-step explanation:
15 POINTS NEED HELP ASAP!!!!!!!!!!!!
Answer:
The same line.
Step-by-step explanation:
Please hurry, I have to turn this in Today. I’ll be posting more questions on it.
Answer:
24 cm square
Step-by-step explanation:
Formula: ab/2. ( a* b = leg * leg)
6*8/2. (formula)
48/2 (simplify)
24 cm square ( answer)
Accuracy not garunteed
Help me help me help me help me help me help me help me help me help me help me help me help There is more than one answer
i think that's letter B & C
Hi it's Mia! '^' Give the other person brainliest, They worked hard to get the answer you needed! Have a wonderful day! :)
Evaluate each algebraic expression for x = -2,3, -0.5, and 1 1/2
2). 4X. 3) 3x+2
PLEASE HELP URGET!!
Answer:
Step-by-step explanation:
2. 4x= 4*(-2)=-8
4x=4*(3)=12
4x=4*(-0.5)=-2
4x=4*3/2=6
the 3x+2
3x+2=3*(-2)+2=-6+2=-4
3x+2=3*(3)+2=11
3x+2=3*(-0.5)+2=-1.5+2=0.5
3x+2=3*(3/2)+2=9/2+2=13/2=6 1/2
b) Expand 3p(p+5)
c( Solve 4(k-6) = 20
Solve the following equation using the substitution method 2x - y = -2 y = 8
The principal has a budget of $225 and expects at least 16 people to attend.
Sandwiches cost $3 each.
Answer:
$48
Step-by-step explanation:
16 x 3 = 48
Answer:
awnser is 48
Step-by-step explanation:
225÷6=48 yourwelcome
One serving is 12 fries. How many servings could you get out of a bag of 96 fries?
Answer:
8 servings
Step-by-step explanation:
12 times 8 is 96 servings
Directions: Find the indicated trigonometric ratio as a fraction in simplest form. 1. Sin L =
M
2. Tan N =
3. Cos L =
10
N
4. Sin N =
Answer:
[tex]\sin L = 0.60[/tex]
[tex]tan\ N = 1.33[/tex]
[tex]\cos L = 0.80[/tex]
[tex]\sin N = 0.80[/tex]
Step-by-step explanation:
Given
See attachment
From the attachment, we have:
[tex]MN = 6[/tex]
[tex]LN = 10[/tex]
First, we need to calculate length LM,
Using Pythagoras theorem:
[tex]LN^2 = MN^2 + LM^2[/tex]
[tex]10^2 = 6^2 + LM^2[/tex]
[tex]100 = 36 + LM^2[/tex]
Collect Like Terms
[tex]LM^2 = 100 - 36[/tex]
[tex]LM^2 = 64[/tex]
[tex]LM = 8[/tex]
Solving (a): [tex]\sin L[/tex]
[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin L = \frac{MN}{LN}[/tex]
Substitute values for MN and LN
[tex]\sin L = \frac{6}{10}[/tex]
[tex]\sin L = 0.60[/tex]
Solving (b): [tex]tan\ N[/tex]
[tex]tan\ N = \frac{Opposite}{Adjacent}[/tex]
[tex]tan\ N = \frac{LM}{MN}[/tex]
Substitute values for LM and MN
[tex]tan\ N = \frac{8}{6}[/tex]
[tex]tan\ N = 1.33[/tex]
Solving (c): [tex]\cos L[/tex]
[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos L = \frac{LM}{LN}[/tex]
Substitute values for LN and LM
[tex]\cos L = \frac{8}{10}[/tex]
[tex]\cos L = 0.80[/tex]
Solving (d): [tex]\sin N[/tex]
[tex]\sin N = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin N = \frac{LM}{LN}[/tex]
Substitute values for LM and LN
[tex]\sin N = \frac{8}{10}[/tex]
[tex]\sin N = 0.80[/tex]
A powerful computer is purchased for $2500, but loses 18% of its value each year. How much will it be
worth 4 years from now?
Answer:
$1130.30
Step-by-step explanation:
Step one:
given data
cost of computer= $2500
rate of loss per year= 18%
time t= 4 years
Step two:
let us computer the loss per year
Year 1 loss
worth= 2500- 2500*0.18
worth= 2500-450
worth= $2050
Year 2 loss
worth= 2050- 2050*0.18
worth= 2050-369
worth= $1681
Year 3 loss
worth= 1681- 1681*0.18
worth= 1681-302.58
worth= $1378.42
Year 4 loss
worth= 1378.42- 1378.42*0.18
worth= 1378.42-248.1156
worth= $1130.30
A line passes through the points (-3, -1) and (-5, 4). What is the slope of this line.
Answer:
-5/2
Step-by-step explanation:
4+1/-5+3 your welcome could you give me brainliest pls? thankss
please help me im so confused
Answer:
ijrrrrrrrrrrrrg to 19399
Step-by-step explanation:
Answer:
Its a because volume is equal to length times width time height and that answ choice is the only one that provides this correct statement
A line passes through (−2, 5) and has slope 1/3 . What is an equation of the line in point-slope form?
Answer:
point-slope form is : y - y1 = m(x -x1) where m is the slope and y1 and x1 is the point. plug in the given values. since the question wants it in point-slope, you leave it as is.
y - 5 = 1/3 (x - (-2))
Step-by-step explanation:
Roger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.
Answer:
dial it up
2:16
simplify
1:8
now multiply 8 by the number of gigs
2:16
3:24
and so on.....
ring ring
1:9
again multiply the cost by the number of gigs
2:18
3:27
and so on....
I NEED HELP ASAP PLEASEEE!!!! WILL GIVE BRAINLIEST !!
Hannah and Becky are learning to type on a cormputer keyboard. Hannatfs
typing speed is represented by the equation y = 11z vwhere y is the nurnber of
words she types and x is the nurmber of minutes, Becky's typing speed is
given by the graph.
60
36
1
2
Time (minutes)
4
Answer:
it's d credit to the people who said it
Hanna's typing speed is one word fewer than that of Becky's speed.
What is the general equation of a Straight line? What is equation modelling?The general equation of a straight line is -
y = mx + c[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given are Hannah and Becky, who are learning to type on a computer keyboard. Hanna's typing speed is represented by the equation y = 11z. Becky's typing speed is given by the graph as shown in the question.
Now, for Hanna, her typing speed would be -
11 words per minute
For Becky, the slope of the graph will be -
m = (24 - 12)/(2 - 1)
m = 12
12 words per minute
It can be seen easily that Hanna's typing speed is one word fewer than that of Becky's speed.
Therefore, Hanna's typing speed is one word fewer than that of Becky's speed.
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John's mother is three less than four times John's age. Their combined age is 37. What is John's age?
When you divide a unit fraction by a whole number greater that 1, the quotient is always smaller than the unit fraction being divided. Why is this true? Use an example to support your answer.
Answer:
The servings that each of your friend received which is 1/8 is the quotient. And the servings that each of your friends got is smaller compared to the half of the round chocolate cake. Therefore, when dividing a unit fraction by a whole number, the quotient is always a unit fraction which is less than the dividend.
The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
Let's consider dividing the unit fraction 1/3 by the whole number 2:
= 1/3 ÷ 2
= 1/3 x 1/2
= 1/6
We can see that the resulting quotient, 1/6, is smaller than the original unit fraction of 1/3.
This is because when we divide 1/3 by 2, we are essentially dividing 1 unit of 1/3 by 2 units.
This means that each of the resulting units is smaller than the original unit of 1/3 since it has been divided into more pieces.
In the example above, each resulting unit is 1/6, which is smaller than the original unit of 1/3.
This relationship holds true for any unit fraction and any whole number greater than 1.
The resulting quotient will always be smaller than the original unit fraction being divided.
Thus,
The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.
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Which of the following correctly uses absolute value to show the distance between -80 and 15? (5 points)
a
|-80 - 15| = |-95| = -95 units
b
|-80 + 15| = |-65| = 65 units
c
|-80 - 15| = |-95| = 95 units
d
|-80 + 15| = |-65| = -65 units
Answer:
it's answer is b
|-80+15| = |-65| = 65 units
Hope this helps :)
This question is about displacement. Displacement is a set of vectors. So the answer is - can't be + can't be.
so,answer-b
Ling earns $8 per hour working at the zoo. Write and solve an inequality that can be used to find how many hours she must work in a week to earn at least $120. Interpret the solution.
Answer:
Ling should atleast work 15 hours a week to earn $120.
Step-by-step explanation:
Ling earn per hour = $8
Let the number of hours she worked to be x.
Now, inequality =
[tex]8x \geq 120[/tex]
Dividing both side by 8.
[tex]\dfrac{8x}{8} \geq \dfrac{120}{8}[/tex]
[tex]x \geq 15[/tex]
Hence, Ling should atleast work 15 hours a week to earn $120.
6 ft
x ft
8 ft
12 ft
Answer:
576?
Step-by-step explanation:
I think...