Answer:
43 cm
Step-by-step explanation:
If the longest side of the triangle is 8 cm longer than five times the shortest side
5s + 8
the third side is 7 cm less than four times the shortest side
4s - 7
The perimeter of a triangle is 71 cm
s + (4s - 7) + (5s + 8) = 71
Combine like terms
10s + 1 = 71
Subtract 1 from both sides
10s = 70
divide both sides by 10
s = 7
---------------------------------
How long is the longest side of the triangle
5s + 8
5(7) + 8
35 + 8
43
Sarah had 1 3/4 bags of trail mix. She age 1/2 of a bag. She gave 1/3 of a bag to her friend. She dropped 1/6 of a bag and she was sad. How much trail mix did she had left?
Answer:
3/4 bags of trail mix
Step-by-step explanation:
She ate 1/2 of a bag, she gave 1/3 of a bag, and she dropped 1/6 of a bag. In total she "lost" 1/2+1/3+1/6=1 bag of trail mix. So she has 1 3/4-1=3/4 bags left
Graph the number on the number line.
Answer:
Step-by-step explanation:
can u take good picture
x + 6 - 6x + 10
integers
Answer:
-5x + 16
Step-by-step explanation:
I didn't see a equal sign so I assume that x cannot be x = -5/16
So I combined like terms of x and -6x to get -5x as well as +6 and +10 to get 16.
To get my final answer as -5x + 16.
write the following numbers as the product of a natural number with a power of 10
a) 2450
b) 35000
c)4000400
d) 10101010
[tex]\\ \sf\longmapsto 2450=2\times 35\times 35\times 1^{10}[/tex]
#2
[tex]\\ \sf\longmapsto 35000=35\times 10(10)(10)\times 1^{10}[/tex]
#3
[tex]\\ \sf\longmapsto 4000400=2\times 2\times 1001\times 100\times 1^{10}[/tex]
#4
[tex]\\ \sf\longmapsto 10101010=1010101\times 10\times 1^{10}[/tex]
Step-by-step explanation:
The numbers are given in the form of N*10ⁿ, where N is a natural number
a) 2450 = 245*10 b) 35000 = 35*10³ c)4000400 = 40004*10² d) 10101010 = 1010101*10What is the expression 3/8d+3/4 factored using the GCF
Answer:
[tex]\frac{3}{8}[/tex] ( d + 2)
Step-by-step explanation:
[tex]\frac{3}{8}[/tex] d + [tex]\frac{3}{4}[/tex]
= [tex]\frac{3}{8}[/tex] d + [tex]\frac{6}{8}[/tex] ← factor out [tex]\frac{3}{8}[/tex] from each term
= [tex]\frac{3}{8}[/tex] (d + 2) ← in factored form
8 m good wire how long is the wire in millimeters
Answer:
Converting m to mm
=> 1 m = 1000 mm
=> 8 m = 8000 mm
Therefore,
The wire will be 8000 mm long.
Hope it helps you...
Please mark as brainlliest!!!
For the two numbers listed, find two factors of the first number such that their product is the first number and their sum is the second number -12,-1
Lin’s father is paying for a $35 meal. He has a 15%-off coupon for the meal. After the discount, a 4% sales tax is applied.
What is the discount amount? $
What is the subtotal? $
What is the amount of tax added? $
What does Lin’s father pay for the meal? $
also there are suppose to be 4 answers so if you do know it please tell me 4 answers
Answer:
discount: $5.25
subtotal: $29.75
added tax: $1.19
total: $30.94
Step-by-step explanation:
15% of 35 = $5.25
$35 - $5.25 = $29.75
$29.75 + 4% = $30.94 Sales tax = $1.19
Answer:
Step-by-step explanation:
100% - 15% = 85% = 0.85
$35 × 0.85 = $29.75 (Subtotal)
100% + 4% = 104% = 1.04
$29.75 × 1.04 = $30.94
~~~~~~~~~~~~~~~
What is the discount amount?
$35 × 0.15 = $5.25
What is the subtotal? $29.75
What is the amount of tax added?
$29.75 × 0.04 = $1.19
What does Lin’s father pay for the meal? $30.94
what is the diameter of a circle that has the circumference of 400
Answer:
400/π
Step-by-step explanation:
Well, we know that the formula for circumference is πd. (d is the diameter) Then, we set up the equation 'πd = 400'. Now, simplifying for d, we get d = 200/π.
Answer:
400/π
Step-by-step explanation:
Which graph represents a proportional relationship?
Answer:
The one shown in the photo
Step-by-step explanation:
A proportional relationship is one in which the relationship increases steadily, which looks like a straight line when graphed. Also, the line should pass through the origin, which is the point (0, 0) on a graph.
The graph shown increases steadily (it's a straight line), and passes through the origin (point 0,0) as well. So, it's proportional. Hopefully that's helpful! :)
If Esteban continues at the same rate, how many miles will he have traveled in 6 hours?
A. 36
B. 300
C. 360
D. 420
Answer360
Step-by-step explanation:
The figure below is a prism with a right-triangle base.
What is the surface area of the figure?
Help me please
Explain the differences and similarities of the steps for dividing whole numbers and decimals.
Answer: Comparing a whole numbers and a decimals:
First let’s talk about the similarities of comparing whole numbers and decimals:
=> their place value always matters.
Now, let’s proceed to their differences
=> in comparing whole numbers, we don’t care about the value to the nearest decimal points or the value of ones. We always look at the highest value, not unless the highest values are all the same.
=> In comparing decimals, the value to the nearest decimal points or the tenths place value always matters.
Step-by-step explanation:
Start with x and cube it
Answer:
x to the power of 3
Step-by-step explanation:
What is an equivalent expression for 1.5(37* 4) * 0.25(Qr+8)
Answer:
-4 I believe is the answer
Step-by-step explanation:
Hope this helps:)
Pls help with this:/
9514 1404 393
Answer:
a. y = -1/3x +7/3
b. f(6) = 1/3
Step-by-step explanation:
The two given points are (1, 2) and (4, 1). The slope of the line between them is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (1 -2)/(4 -1) = -1/3
The point-slope form of the equation of the line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
We can add k to both sides of this equation and substitute for our slope (-1/3) and the first point (1, 2). This gives ...
y = m(x -h) +k
y = -1/3(x -1) +2
y = -1/3x +7/3 . . . . eliminate parentheses
__
b. The value of y when x=6 is ...
y = -1/3(6) +7/3 = (-6 +7)/3
y = 1/3
That is, for f(x) = -1/3x +7/3, ...
f(6) = 1/3
Louis is comparing the populations of several nearby cities. The population of Liberty Crossing can be written as 49 people, and the population of Harrisburg can be written as 47 people. The population of Glenview is 43 times the population of Harrisburg. Drag the cities to put them in order from least population (top) to greatest population (bottom).
Step-by-step explanation:
Louis is comparing the populations of several nearby cities. The population of Liberty Crossing can be written as 49 people, and the population of Harrisburg can be written as 47 people. The population of Glenview is 43 times the population of Harrisburg. Drag the cities to put them in order from least population (top) to greatest population (bottom).
The order of the cities from least population to greatest population:
Harrisburg
Glenview
Liberty Crossing
Given the information provided:
Harrisburg: This city has a population of 47 people. It's the smallest population among the three cities.
Glenview: The population of Glenview is 43 times the population of Harrisburg.
Since Harrisburg has 47 people, the population of Glenview would be 43 x 47 = 2021 people.
So, Glenview has a larger population than Harrisburg but is still smaller than Liberty Crossing.
Liberty Crossing: The population of Liberty Crossing is given as 49 people, which is the largest population among the three cities.
So, the correct order from least population to greatest population is:
Harrisburg
Glenview
Liberty Crossing
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A shirt that normally cost $30 is on sale for $21.75 what percent of the regular price is the sale price
Answer: 72.5%
Step-by-step explanation:
I used trial and error to figure this out.
I first found a quarter of 30 which is 7.5, so the percentage is near 75% since when 7.5 is times by 3 it becomes 22.5 which is close. Then I found what one is by dividing 30 by 100 and guessed the percentages getting closer to the answer basing on whether my last answer was to low or high and found 72.5% of 30 is 21.75 so the answer is 72.5%.
The points (-1, 4) and (2, 9) lie on a line.
What is the slope of the line?
Answer:
[tex]\displaystyle m = \frac{5}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-1, 4)
Point (2, 9)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{9 - 4}{2 + 1}[/tex][Order of Operations] Simplify: [tex]\displaystyle m = \frac{5}{3}[/tex]PLZ HELP
What question should you ask yourself first when factoring polynomials?
A: Can I divide all terms by a GCF?
B: What is the exponent of the first term?
C: What is the degree of the polynomial?
D: Are there four terms?
Answer:
The correct answer is A: Can I divide all terms by a GCF?
explanation:
I took the quiz
When you roast coffee, it loses 12% of its weight. How much fresh coffee do you need in order to get 14 2/25 lb of roast coffee?
Answer:
X - X/12 = 14 2/5 = 72/5 1/12 of X is lost in roasting
(12 X - X) / 12 = 72/5
11 X / 12 = 72/5
11 X = 864 / 5
X = 864 / 55
15.71 lbs handy to use calculator here
Or 864 / 55 = 15 39/55 lbs
Answer:
16 lbs
Step-by-step explanation:
Express 24 minutes as a fraction of 2'/2 hours.
Step-by-step explanation:
1hr = 60
½ hr = 30
60 + 30 = 90
Next, Kevin makes a cylinder-shaped candle. He uses a metal can as a mold. The can has a radius of 6 centimeters and a height of 18 centimeters. How much wax is needed to fill the metal can?
Answer:
Kevin needs approximately 2034.7 centimeters of wax to fill the metal can.
Step-by-step explanation:
To find the how much wax is needed to fill the metal can we have to find the volume of the cylinder in which we use the equation, V = 3.14(r^2)(h)
V = 3.14(r^2)(h)
3.14(6^2)(18)
3.14(36)(18)
3.14(648)
V = about 2034.7 centimeters
use the given circle. Find the length s to the nearest tenth A. 33.5 cm B. 8.4 cm C. 16.8 cm D. 5.3 cm
Answer:
16.8
Step-by-step explanation:
s = ∅ × r
= 2π/3 × 8
= 16/3 * π
= 16.75516
= 16.8
Answer:
C.) 16.8 is your answer
Step-by-step explanation:
the independent and dependent variables.
1) You are taking a road trip in a car and want to know how far you've traveled (read the odometer) at various times
during your trip.
A) does not describe a function
B) Independent variable, distance traveled; dependent variable, time
C) Independent variable, time; dependent variable, distance traveled
actont Writon statement that describes how one
Answer:
C) Independent variable, time; dependent variable, distance traveled
Explanation:
An independent variable (also known as the manipulated variable) is the thing you change on purpose. A dependent variable (also known as responding variable) is what you measure on different kinds of trials. You are measuring how far you've gone. You will measure this at various times (you change this).
Correct answer is C : Independent variable, time; dependent variable, distance traveled actont Writon statement that describes how one.
What is Independent variable?The independent variable exists as the variable being regulated in the problem, and the dependent variable exists as the variable that varies because of this control.
It exists a variable that stands alone and isn't altered by the other variables you exist trying to measure.
An independent variable (also known as the manipulated variable) is the thing you change on purpose. A dependent variable (also known as responding variable) is what you measure on different kinds of trials. You are measuring how far you've gone. You will measure this at various times (you change this)To learn more about Independent variable refer to:
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a
Use a trigonometric equation to
determine the leg of this triangle.
10 m
[?] m
30°
Answer:
use pythogoras therom to solve it and its say to find base its formula is h square - psquare
A kayak is originally priced at $130. The online retailer vives a Discount and the kayak is now priced at $65. Enter the porcentaje Discount for the cost of the kayak
Answer:
50% decrease
Step-by-step explanation:
130-65 = 65
65/130 = 0.5
0.5 x 100 = 50
what should be added to -1 to get 5/7
Pls answer thiss
Answer:
The answer is 12/7.
Step-by-step explanation:
To get the answer, simply subtract -1 to 5/7
[tex]\frac{5}{7} - (-1)\\[/tex]
Find the least common denominator.
[tex]\frac{5}{7} - (-1) = \frac{5}{7} - \frac{(-7)}{7}[/tex]
= 12/7
To check, add -1 to 12/7.
[tex]\frac{12}{7} + (-1)[/tex]
Find the least common denominator.
[tex]\frac{12}{7} + (-1) = \frac{12}{7} + \frac{(-7)}{7}[/tex]
= 5/7
A random number generator generates numbers from 1 to 10. What is the probability that the number generator generates a 3 ?
Answer:
1/10
Step-by-step explanation:
What is the inequality graphed below?
Answer:
y>=5/3x+5
Step-by-step explanation:
line is y=5/3x+5
shading is above the line
line is shaded
y>=5/3x+5