Answer:
x<1
Step-by-step explanation:
10x + 80 < 90
10x < 90 - 80
10x < 10
x < 1
A manufacturing company uses three measuring tools to
measure lengths. The tools are tested using a standard
unit exactly 7 cm long. The results are as follows.
a. Which tool gives the most precise measurement?
Precision is how detailed a measurement is.
7.033 has 3 digits after the decimal point
6.91 has 2 digits after the decimal point
7.1 has a single digit after the decimal point.
Since 7.033 has the most digits after the decimal point, it is more precise than the others.
A car Is traveling at a speed of 90 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will
the car travel in 2 minutes? Do not round your answers.
[tex]\huge\boxed{\boxed{\bold{1.5\ \bftext{km/min}}}\ \boxed{\bold{3\ \bftext{km}}}}[/tex]
[tex]\hrulefill[/tex]
To convert from kilometers per hour to kilometers per minute, we simply divide by [tex]60[/tex] as there are [tex]60[/tex] minutes in an hour.
[tex]\frac{90}{60}=\frac{90\div30}{60\div30}=\frac{3}{2}=\large\boxed{1.5}[/tex]
To find how far the car will travel in a certain time, just multiply the speed by the time.
[tex]1.5\ \text{km/min}*2\ \text{min}[/tex]
[tex]\large\boxed{3\ \text{km}}[/tex]
Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48
Answer:
B. 16°Step-by-step explanation:
The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;
(3x+5)° + 37° = 90°
open the parenthesis
3x+5 + 37° = 90°
3x+42 = 90
subtract 42 from both sides of the equation
3x+42-42 = 90-42
3x = 48
Divide both sides of the resulting equation by 3;
3x/3 = 48/3
x = 16
Hence the value of x is 16°
Describe and correct the error in finding the value of the power.
8 to 3power= 8x3 = 24
The exponent is written as a ______,
but it should have been used to indicate the number of
times the ______
is used as a factor.
The answer should be 8 to 3 power =____=____.
Answer:
regular number; base
Step-by-step explanation:
Answer:
1. Multiplication
2. 8
3. 8^3=512
7.83mm= km (using the metric staircase)
Answer:
7.83 mm to km
7.83* 10^-6 or 7.83/10^6
0.00000783 km
Solve using the multiplication principle. -80>16x
Answer:
-5 > x
Step-by-step explanation:
-80>16x
Divide each side by 16
-80/16>16x/16
-5 > x
WILL GIVE BRAINLIST Someone solve number 4 for me really quick must show work
Answer:
1/3
Step-by-step explanation:
3 1/3 divided 10 = 1/3
The ratio of cats to dogs in the park is 2:3. If there are 18 dogs in the park, how many cats are in the park?
Answer:
12
Step-by-step explanation:
What are the coordinates of the vertices of the rose garden after a translation two yards east and four yards south? Use the terms A, B, C, and D
Answer:
The coordinates of the vertices of the original rose garden are A(3, 6), B(3, 3), C(4, 3), and D(4, 6).
Because the rose garden is translated 2 yards east (2 units in the positive x-direction) and 4 yards south (4 yards in the negative y-direction), add 2 units to the x-coordinates and -4 units to the y-coordinates of all the original vertices.
A(3, 6) will become A'[(3 + 2), (6 + (-4))], or A′(5, 2).
B(3, 3) will become B'[(3 + 2), (3 + (-4))], or B′(5, -1).
C(4, 3) will become C'[(4 + 2), (3 + (-4))], or C′(6, -1).
D(4, 6) will become D'[(4 + 2), (6 + (-4))], or D′(6, 2).
A washer and a dryer cost $857 combined. The washer costs $93 less than the dryer. What is the cost of the dryer?
Answer:
Dryer cost $475; Washer cost $382
Step-by-step explanation:
For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).
We are given the washer and dryer cost $857 together.
x + y = 857
We are also given that the washer cost $93 less than the dryer.
x = y - 93
So to find the cost of the dryer, we simply need to find the value of y.
x + y = 857
x = y - 93
( y - 93 ) + y = 857
2y - 93 = 857
2y = 950
y = 475
So now we have the value of the dry to be $475. We can check this by simply plugging in the value and see if it makes sense.
x + y = 857
x + 475 = 857
x = 382
And check this value:
x = y - 93
382 ?= 475 - 93
382 == 382
Therefore, we have found the values of both the washer and the dryer.
Cheers.
The cost of the dryer is $475 and the cost of the washer is $382.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, a washer and a dryer cost $857 combined.
Let the cost of dryer be x.
The washer costs $93 less than the dryer.
Then, the cost of washer will be x-93
So, x+x-93=857
2x=857+93
2x=950
x=$475
x-93=475-93
= $382
Hence, the cost of the dryer is $475.
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Please answer this!
Who invented maths?
Answer:
ancient greek invented math
Write equation of the line that passes through (4, 2) and (7,20)
I need Help Asap Please Please
Answer:
C
Step-by-step explanation:
1) What is the absolute value of 50?
Answer:
50
I hope this helps!
S1. Three numbers are in the ratio of 2:3:4. The sum of their cubes is 3,34,125. Find the numbers.
Answer:
Step-by-step explanation:
sum of their cubes=0.334125
The ratio of three numbers is 2:3:4.
Let the numbers be 2x, 3x and 4x.
Cubes of numbers = (2x)^3, (3x)^3, (4x)^3 = 8x^3, 27x^3, 64x^3
(8x^3) + (27x^3) + (64x^3) = 99x^3
99x^3 = 0.334125
x^3 = (0.334125) / 99
x^3 = 0.003375
x^3 = (0.15)^3
x = 0.15
Therefore, the numbers are (2 x 0.15), (3 x 0.15) and (4 x 0.15) i.e. 0.3, 0.45 and 0.6
Evaluate 27 x 1/3 to the third power.
Answer:
If i'm not mistaken its 1
Step-by-step explanation:
On a test, Avery lost 5
points for each of the 6
questions she got wrong
but earned 10 points for
answering the bonus
question correctly. What
integer represents her
score in relation to a
perfect score of 100?
Answer:
bruhhhhhhhhhhhhhhhhhhhhhhhhhh
s=gr-5gc³, solve for g
Answer:
g=r/1+5c3
Step-by-step explanation:
............ ........
A teacher earns 32500 per year if 33% of her income is withheld for taxes, how much money is withheld for taxes
Answer:
$11,357 is withheld for taxes
Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft . In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot, how much will it cost to carpet the bedroom?
Given :
Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft .
In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot.
To Find :
How much will it cost to carpet the bedroom.
Solution :
Length of bedroom , l = 5.5 × 3 = 16.5 ft.
Width of bedroom , w = 3.25 × 3 = 9.75 ft.
SO, area of bed room is :
[tex]A=l\times w\\\\A=16.5\times 9.75\ ft^2\\\\A=160.875\ ft^2[/tex]
Now, cost to carpet the bedroom is :
[tex]C=2.58\times A\\\\C=2.58\times 160.875\\\\C=415.0575[/tex]
Hence, this is the required solution.
what are the steps and answer for - 5n - 2 = 38
Answer:
n = -8
Step-by-step explanation:
[tex]- 5n - 2 = 38[/tex]
Collect like terms and simplify
[tex]-5n = 38+2\\\\-5n = 40[/tex]
Divide both sides of the equation by -5
[tex]\frac{-5n}{-5n} = \frac{40}{-5}[/tex]
Simplify
[tex]n = -8[/tex]
9. Apply The number of people in the United States who are at least 100
years old grew about 66% from 1980 to 2010. Write that information as a
conditional statement.
Answer: If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.
Step-by-step explanation:
A really simple conditional statement can be written as:
If P, then Q
Where P is the hypothesis, and Q is the conclusion.
In this case, we know that:
"The number of people with age equal or larger than 100 years old, grew about 66% from 1980 to 2010"
This means that if in 1980 we had N people in that age range, in 2010 we have N*(166%/100%) = N*1.66
Then we can write a conditional statement:
If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.
which is the correct answer?
Answer:
105°
Step-by-step explanation:
The measure of a right angle is = 90° if the original angle is 15° less than right angle than 90 + 15 = 105°
Write five hundred twenty-five thousandths as a decimal number
Please help
Answer:
.525
Step-by-step explanation:
Five hundred twenty-five thousandths is a decimal number will be 0.525.
What is a decimal number?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples.
The given number is five hundred twenty-five thousandths. The decimal form of the given number will be written as:-
Five hundred twenty-five thousandths = 0.525
Therefore, five hundred twenty-five thousandths is a decimal number that will be 0.525.
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In your notebook, draw ray OB between ray OA and OC. When you have finished, select the figure below that represents the figure you drew. (please help)
Answer:
I'm fairly certain the answer is A, The first one
explanation:
Ray OB is between rays OA and OC
HELPP PLEASEEEE THANK YOUUU MU FRIEND!
Answer:
co.: 14, -2, -5 var. terms: 14x,-2x,-5x con. terms: 9,8,1
Step-by-step explanation:
Solve the following system of equations. {y=−2x−92x+3y=−3 Write your answer as an ordered pair in the form (x,y).
Answer:
(x, y) = (-6, 3)
Step-by-step explanation:
Maybe you want to solve ...
y = -2x -92x +3y = -3Use the first equation to substitute for y in the second:
2x +3(-2x -9) = -3
2x -6x -27 = -3
-4x = 24 . . . . . . . . . add 27, simplify
x = -6 . . . . . . . . . . . divide by -4
y = -2(-6) -9 = 12 -9 = 3
The solution is (x, y) = (-6, 3).
Need help with these
Answer:
a. 0.07
b. 0.17
c. 0.333
d. 0.417
What is the value of x?
Answer:
35 degrees
Step-by-step explanation:
180-95=85
180-(85+60)=35
7. The steps below show Cam's work in solving an equation. Circle the line where he makes a mistake. Then, find the correct solution to the equation.
Answer:
Error was at the fourth line: 12 = 16x
Correct solution: x = ½
Step-by-step explanation:
Let's solve the equation step by step to find the correct solution, and also, to find out at which line Cam made a mistake.
10 - 2x = 19x + 2 - 5x (given)
10 - 2x = 19x - 5x + 2
10 - 2x = 14x + 2
Add 2x to both sides
10 - 2x + 2x = 14x + 2 + 2x
10 = 14x + 2x + 2
10 = 16x + 2
Subtract 2 from both sides
10 - 2 = 16x + 2 - 2
8 = 16x (this is where Cam made an error, at the fourth line. He wrote: 12 = 16x. It seems Can only subtracted 2 from the right, then added 2 to the left. Subtraction property of equality was not properly done.)
Proceeding further with our calculation, we would divide both sides by 16
8/16 = 16x/16
½ = x
x = ½.