Step-by-step explanation:
[tex] \frac{ - x}{3 } = 2 \\ - x = 3 \times 2 \\ - x = 6 \\ x = - 6[/tex]
A large box will hold 1,000 cubic inches. A small box measures 5 inches by 5 inches by 5 inches. How many smaller boxes will the large box hold?
Answer:
8
Step-by-step explanation:
Given data
Volume of large box= 1000cm^3
Dimension of small box
L=5cm
W=5cm
H=5cm
Volume of small box= 5^3
V=125cm^3
Hence the number of small box that can fill the large box is
=1000/125
=8
b) How many edges and vertices does a prism
with a 100-sided end face have?
edges
vertices
Micaela answered 158 questions correctly on her multiple choice math final that had a total of 200 problems. what percentage of questions did micaela answer correctly on the final exam?
Answer:
79%
Step-by-step explanation:
fraction = 158/200
Denominator has to be over 100 to be able to be converted to percent
158/200 = 79/100
79/100 = 79%
find the slope of the line through each pair of points
(3,-2),(-13,-8)
During a football game, the ball is placed 20 yards 2 feet from the goal line. How many feet from the goal line is the football?
Answer:
62 feet
Step-by-step explanation:
During a football game, the ball is placed 20 yards 2 feet from the goal line. How many feet from the goal line is the football?
Step 1
We convert 20 yards to feet
1 yard = 3 feet
20 yards = x feet
Cross Multiply
1 yard × x feet = 20 yards × 3 feet
x feet = 20 yards × 3 feet/1 yard
x feet = 60 feet
Step 2
How many feet from the goal line is the football?
This is calculated as:
20 yards 2 feet =
60 feet + 2 feet = 62 feet
Therefore, the football is 62 feet from the goal line
If a triangle has a leg with a length of 6 units and a hypotenuse with a length of 10 units, find the length of the other leg.
Answer: 8 units
Step-by-step explanation:
This can be solved using the Pythagorean Theorem:
c² = a² + b²
c is the hypotenuse
a and b are the sides
Solving for the length:
10² = 6² + b²
100 = 36 + b²
b² = 100 - 36
b² = 64
b = √64
b = 8 units
The missing side is 8 units.
Please help me, i need this done ASAP!!!
Answer:
100 inches
Step-by-step explanation:
Given that the mans height is 71 inches. Height of lamp is 108 inches and distance between them is 52 inches. For Figure refer to attachment . The given figure both triangles are similar by AA similarity Condition. So we know that the corresponding parts of similar triangles are proportional .Let Distance between man a d its shadow be x .
Using this concept ,
=> AM / PN = QA / QP
=> 108 / 71 = 52 + x / x
=> 1.52 x = 52 + x
=> 1.52 x - x = 52
=> 0.52 x = 52
=> x = 52/0.52
=> x = 100 in .
Find the value of each variable.
Answer:
a. a×3= -30
a= -30-3
a= 33
A. g(x) = (- x)2 + 4
O B. g(x) = – x2 - 4
O c. g(x) = (- x)2 - 4
O D. g(x) = – x2 + 4
Betsy borrowed $525 for a new foot stool. She made 6 monthly payments to repay the loan. She paid $35 interest. What is her simple interest rate?
35%
13.3%
6.7%
40%
20%
The simple interest rate of the loan is 13.3%.
What is simple interest rate?A simple interest rate is a type of rate that is paid only on the amount borrowed and not on both the amount borrowed and the interest already accrued as it is in a compound interest.
Simple interest rate = interest / (time x principal)
$35 / (6/12 x 525)
= 13.3%
To learn more about interest, please check: https://brainly.com/question/26164549
Three cities form a triangle. Tom measures the distances between the three cities on a map. The distances between the three cities are 45 miles, 56 miles, and 72 miles. Is the triangle formed by the three cities a right triangle?
Answer:
Nope. Does not satisfy pythagoras theorem
Step-by-step explanation:
72 squared does nit equal 45 squared plus 56 squared
20 POINTSS PLEASE HELP
Answer:
14 units
Step-by-step explanation:
which graph represents the solution to 7x < 21 or 6x -9 > 21
Answer:
There is no solution, though the lines are confirmed as dashed with the shaded area being on the outer sides.
Step-by-step explanation:
above
Find the 60th term of the arithmetic sequence -27, -24, -21
I’m so confused help pls
Step-by-step explanation:
A: n(n+1) = 72
B
n^2 + n = 72
n^2 + n -72 =0
(n+9)(n-8) = 0
State the method that would be used to verify that the triangles are similar. Justify your answer.
Answer:
answer is 3
Step-by-step explanation:
add 5 minus 10
Is 7 a solution for the equation 3(x + 4)= 2x - (-2x)?
Step-by-step explanation:
3x+12=2x+2x
3x+12=4x
3x-4x=-12
-x=-12
x=12
Answer:
no, the answer is x = 12
Step-by-step explanation:
3(x + 4)= 2x - (-2x)
3(x + 4)= 2x + 2x
3x + 12 - 12 = 4x - 12
3x - 4x = 4x - 12 - 4x
-x = -12
x = 12
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a
1
2
3
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2
4.
8
16
Is the table linear, exponential, Quadratic, or not a
function at all?
Answer:
Is Linear
Step-by-step explanation:
Because The number said that
Write the exponential expression
26 squared
Answer:
26²
Step-by-step explanation:
26 x 26 = 676
A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest tenth.
Answer:
13.9
Step-by-step explanation:
7² x 12² = 49 + 144 = 193
√193= 13.89
SOMEONE HELP!!!!!!!!!!!!!!!
Answer:
Q= 5c
Step-by-step explanation:
f(x) =5x+8, g(x) = 2^2-1
Answer:
Step-by-step explanation:
f(g(x) ) = 5(g(x)) +8
=5(3)+8
=15+8
=23
g( f(x) ) = 3(f(x))
=3(5x+8)
=15x +24
:)
Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector’s house to bike home. He can bike the 8 miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch up. He can ride to Darnell’s house in 24 minutes. Assuming they bike the same path, write the liner equation that represents darnells constant speed
9514 1404 393
Answer:
s = (8 mi)/(24 min/(60 min/h))
Step-by-step explanation:
Let s represent Darnell's constant speed. We know that speed, distance, and time have the relationship ...
speed = distance/time
Darnell's speed in miles per hour is ...
s = (8 mi)/(24 min/(60 min/h)) . . . . equation representing Darnell's speed
_____
This simplifies to ...
s = 20 mi/h
What is the solution to the equation 38.18 + x = 82.06? A. 44.88 B. 43.88 C. 56.12 D. 44.12
Answer:
A
Step-by-step explanation:
Simplify both sides x+38.18=82.06
subtract 38.18 from both sides
x+38.18-38.18=82.06-38.08
x=43.88
The flag has been rotated clockwise 122°. Consider this single transformation to be a composition of reflections over two intersecting lines.
The measure of the angle between the two intersecting lines is
A degrees
Answer is in the file below
tinyurl.com/wtjfavyw
write the equation of the line in slope intercept form given a table
Answer:
y=3x+1
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept
the formula for slope (m) is given as (y2-y1)/(x2-x1)
we can pick any 2 points to use to find the slope. For example, let's use (2,7) and (3,10)
label the points:
x1=2
y1=7
x2=3
y2=10
now substitute into the formula:
m=(y2-y1)/(x2-x1)
m=(10-7)/(3-2)
m=3/1
m=3
the slope of the line is 3
here's our equation so far:
y=3x+b
now we need to find b (y intercept)
because the line will pass through any of the points given on the table, we can use any one of the given points to solve for b
Let's take (2,7) though since it's the first point
substitute 2 as x and 7 as y in the equation
7=3(2)+b
7=6+b
1=b
so our equation is y=3x+1
Hope this helps! :)
sin(20)=x/670 ????????
Answer:
229.2
Step-by-step explanation:
Remark
There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.
The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.
So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.
Formula
Just as you have it
Sin(20) = x / 670
Solution
Multiply both sides by 570
670 * sin(20) = x
sin(20) = 0.3420
x = 670 * 0.3420
x = 229.2
In Eduardo's collection, the number of butterflies is 12 more than twice the number of moths. If there are x moths, choose the expression that represent the number of butterflies he has.
Answer:
y = 12 + 2x
Step-by-step explanation:
Given that :
Let number of butterflies = y
Number of moths = x
y = 12 more than twice the number of moths
y = 12 + 2x
Hence, the expression which relates the number of butterflies he has is :
y = 12 + 2x
the bag of mass is 1.5kg what is the mass of bag in grams
Answer:
the mass of the bag in grams is 1500
Answer:1500
Step-by-step explanation: Have a good day
PLS HELP ME I DON'T HAVE A LOT OF TIME !!!
Answer:
d
Step-by-step explanation: