Answer:
46 square inches
Step-by-step explanation:
Using the formula: 2(w l+h l+h w)
Answer:
its C
Step-by-step explanation:
To measure the distance across a pond, Sandy and Garrett mark a spot at on
edge of the pond and walk away from each other at a right angle. If Sandy
walked 5 yd and Garrett walked 1 yd less than the distance across the pond, what
is the distance across the pond and how far did Garrett walk?*
Answer:
distance across the pond: 13 yd
distance walked by Garret: 12 yd
Step-by-step explanation:
Data:
distance across the pond: x yddistance walked by Sandy: 5 yddistance walked by Garret: x-1 ydA right triangle is formed where the distance across the pond is the hypotenuse. From Pythagorean theorem:
x² = 5² + (x-1)²
x² = 25 + x² - 2x + 1
0 = 26 - 2x
x = 13
36,000 people attended a basketball game. If 80% of the seats are filled, how many seats are in the ballpark?
Answer:
45,000
Step-by-step explanation:
80/100 = 36000/x
8x = 360000
x = 45000
Answer:
45000 seats
Step-by-step explanation:
Let t= total number of seats at the ballpark
t* 80% = 36000
Change to decimal form
t*.80 = 36000
Divide each side by .80
.80t/.80 = 36000/.80
t =45000
Question Five
The surface of Great Slave Lake is 156 m above sea level. At the deepest point, the bottom of the lake is
458 m below sea level.
a) Use absolute value symbols to write a statement to determine the depth of the lake.
b) What is the depth of the lake?
a) The correct statement to find the depth of the lake is,
⇒ 156 + |- 458|
b) The depth of the lake is,
⇒ 614 m
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The surface of Great Slave Lake is 156 m above sea level.
And, At the deepest point, the bottom of the lake is 458 m below sea level.
Here, The depth of the lake is find as;
⇒ 156 + |- 458|
⇒ 156 + 458
⇒ 614 m
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What is the slope of the line that passes through the points (10,8) and (-15,18) ?
Answer:
-0.4
Step-by-step explanation:
m = 10 / -25 = -0.4
Find two numbers A
and
B
whose sum
a
+
b
is
−
3
, and whose difference
a
−
b
is
−
7
.
Your answer is
a=
b=
Answer:
the following is the answer , a is -5, b is 2
Mrs. Whimsey’s class is having a pizza party. If there are 16 students and 4 pizzas cut into 8 slices, what answer choice represents the fraction of one pizza each student receives?
A. one-third
B. one-sixteenth
C. one-fourth
D. one-eighth
Answer:
C
Step-by-step explanation:
4 pizzas cut into 8 slices each is a total of 32 slices. This means that each student would get 2 of these slices, which is equivalent to 1/8 * 2= 1/4, or choice C. Hope this helps!
Answer:
C) 1/4
4x8=32
32/2=16
two-eighths=one-fourth
Find the perimeter of the outside of the hungry circle monster. The angle of its mouth is pi/3 radians and its radius is 7 inches
Answer:
C≈43.98in
Step-by-step explanation:
Solve the following equation for x
X^2-11x-60=0
A-x=4;x=-15
B-4;x=-15
C-x=4;x=15
D-x=-4;x=-15
Answer:
The answer is x= -4 x= 15
Step-by-step explanation:
Answer:
The answer will be B.
Step-by-step explanation:
Because when you do it like shown you will gt this
Step 1: Factor left side of equation.
(x+4)(x−15)=0
Step 2: Set factors equal to 0.
x+4=0 or x−15=0
x=−4 or x=15
Answer:
x=−4 or x=15
A die has 12 faces numbered 1 through 12. On the die, 5 of the faces show prime numbers, so the theoretical probability of rolling a prime number is 5/12. Which is the most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times?
Answer:
Step-by-step explanation:
5/12 * 300 = 125 times
The most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times is 125 times.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A die has 12 faces numbered 1 through 12.
And, The theoretical probability of rolling a prime number is 5/12.
Here, On the die, 5 of the faces show prime numbers, so the theoretical probability of rolling a prime number is 5/12.
Hence,
The most likely prediction for the number of times a prime number will occur when rolling the number cube 300 times is,
⇒ 300 × 5/12
⇒ 1500 / 12
⇒ 125
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A tennis supply store pays a wholesaler $90 for a tennis racquet and marks it op by 60%.
What do they charge for the tennis racquet?
Answer:
$36
Step-by-step explanation:
50%=$45 because you half it
10%= $9 because you divide it by 5 (using the 50% to find 10%)
60%= $45+$9=$54
60% discount= $54
$90-$54=$36
Answer: I think your answer is $36
Step-by-step explanation:
13. A rectangle has a width that is twice as long as its length and an area of 722 square inches. Find the length of the diagonal, rounded to the nearest tenth.
Answer:
The diagonal of the rectangle is approximately 42.5 inches.
Step-by-step explanation:
The area of a rectangle is given by the following formula:
area = width*length
In this case the width = 2*length, therefore we have:
area = 2*length²
722 = 2*length²
2*length² = 722
length² = 361
length = sqrt(361) = 19 inches
width = 2*length = 2*19 = 38 inches
The diagonal forms a right triangle with the sides of the rectangle, where it is the hypotenuse. Therefore we can use Pytagora's theorem:
diagonal = sqrt(length² + width²)
diagonal = sqrt(19² + 38²) = 42.485 inches
The diagonal of the rectangle is approximately 42.5 inches.
Answer:
42.5 inches
Step-by-step explanation:
l = length
w = 2l
A = 722
A = l*w
722 = l * 2l
722 = 2l^2
Divide each side by 2
361 = l^2
Take the square root of each side
sqrt(361) = l
w = 2 * sqrt(361)
We want to find the diagonal so we can use the pythagorean theorem
a^2+ b^2 = c^2 where c is the length of the diagonal
l^2 + w^2 = c^2
(sqrt(361)) ^2 + (2 sqrt(361))^2 = c^2
361+1444 = c^2
1805 = c^2
Take the square root of each side
sqrt(1805) = sqrt(c^2)
42.48529 = c
To the nearest tenth
42.5 =c
What can we say about U?
Answer:
U=2
Step-by-step explanation:
or U is 2 points to the right of T?
Answer: u=2
Step-by-step explanation:
Or is it going by .5
PLEASE HELP ASAP!!! WILL MARK BRAINLIEST!!!
Find the value of x in each case. Give reasons to justify your solutions!
Answer:
x=19
Step-by-step explanation:
Because the angle Y and X are on parallel lines then if you add Y to X you would get 180 so we know that part of Y is 90.
90+2x+3x-5=180
85+5x=180
5x=95
x=19
When the value of x is 3, what is the value of Y?
Read this carefully please.
Answer:
Y would be 9
Step-by-step explanation:
i saw the picture
x:y
1:3
2:6
3:9
You times the x by 3 and keep going down
Hope this helped
what is the solution of the equation x^2 + 2x -7=0
Answer:
x = -1 + 2 sqr2
or
x = -1 -2 sqr2
Step-by-step explanation:
what is 50% as a decimal?
Answer:
.5
Step-by-step explanation:
When we divide 50 by 100 we get 0.5 (a decimal number). So, to convert from percent to decimal: divide by 100, and remove the "%" sign.
PLZ HELP ME PLZ HELP
Answer:
C eijdnusjsjsjzjxjdjdudjdndbdjdhdbdbdhhfhdhd
The table below represents the number of paintings, y, that Jordan completed in x years.
Jordan's Paintings
Which equation describes the relationship between the number of paintings and the year?
y = 3x + 1
y = 3x + 4
y = x +3
y = 4x + 3
Answer:
y=3x+1
Step-by-step explanation:
It would be y=3x+1 because if you replace x with 2 and do y=3(2)+1 you would get y=6+1 or just y=7 and in the table for 2 years it says 7 paintings.
HHHEEELLLPPP PLEASE!!!!
The graph of a line passes through two given points, as shown on the graph below. What is the equation of the line
written in general form?
x - y + 5 = 0
x + y - 5 = 0
x - y - 5 = 0
Answer:
x+y-5=0
Step-by-step explanation:
From the graph, we can see that the line goes through points (0, 5) and (5, 0).
To find the slope of a line, we can use the formula (y1-y2)/(x1-x2). When we substitute the coordinates that we just found, we get (5-0)/(0-5). This equation equals 5/(-5), which equals -1. So, the slope is -1.
Then, to find the equation of the line, we can use the formula y-y1=m(x-x1).
In this equation:
y=a placeholder for the y that will be written in the actual equation
y1=needs to be replaced by a y value (you can choose which pair of coordinates it comes from)
m=slope
x=a placeholder for the x that will be written in the actual equation
x1=needs to be replaced by a x value (Needs to be in the same pair of coordinates as y1)
When we substitute the numbers we found, we will get:
y-5=-1(x-0)
y-5=-x
When we add x to both sides, we will get:
x+y-5=0
pretty sure its 8 but i just wanna be sure...
Answer:
Yup i'm pretty sure its 8 :D
Step-by-step explanation:
Answer:
yeah, basically certain it 8!!
What procedure can be used to solve the equation StartFraction x Over 19.3 EndFraction = 38.6, and what is the solution?
Multiply StartFraction x Over 19.3 EndFraction by 19.3; the solution is 38.6.
Multiply StartFraction x Over 19.3 EndFraction by 19.3; the solution is 372.49.
Multiply both sides by 19.3; the solution is 38.6.
Multiply both sides by 19.3; the solution is 744.98.
The procedure to solve the equation x / 19.3 = 38.6 is to multiply both sides of the equation by 19.3. The solution is 744.98.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
The equation is given in the question following as:
x / 19.3 = 38.6
To solve the equation, you would multiply both sides by 19.3 to get :
⇒ x = 19.3 × 38.6
Apply the multiplication operation, and we get
⇒ x = 744.98.
So, the solution is x = 744.98.
Therefore, the correct answer is D. Multiply both sides by 19.3; the solution is 744.98.
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Answer: D. Multiply both sides by 19.3; the solution is 744.98.
Step-by-step explanation:
took the test! :)
1) - 3 = -11
2) 4 (g – 1) = 24
3) = 0
4) - 40 = 12x + 8
5) - 2p – 3 = -19
6) 13 =
7) - 9 = - 11 +
8) Challenge!!
2q + 10 = 7q
9) d + = -
10) 5 - u =
11) - m - = - 10
12) = + 9q
13) 2 = +
14) c - = c
15) ( w - ) =
16) + 5 = 2
17) - p + = - 3p
18) - 2 n - = - 1
Answer:
1. −3≠−11 (false)
2. g=7
4. x=−4
5. p=8
7. + 2
8. q = 2
10. =−u+5
16. 5≠2 (false) or
'-3' because -3 + 5 = 2
sorry not sure how to do the others :(
What does the question mark equal?
Answer:
8
Step-by-step explanation:
the candy = 25
the watermelon = 1
the fish = 4
the peanut = 17
25-17=8
A pole that is 3.1 m tall casts a shadow that is 1.59 m long. At the same time, a nearby building casts a shadow that is 50.75 m long. How tall is the building?
Round your answer to the nearest meter.
Answer:
92 meters high.
Step-by-step explanation:
This problem involves proportion.
Let x be the unknown, which is the height of the building.
height of pole = height of the building
height of the shadow height of the shadow
3.3 m = x
1.78 m 49. 75 m
Solve for x.
(3.3 m) (49.75 m) = x
1.78 m
92.2331460674 = x
Rounded to the nearest meter, the building is 92 meters high.
Hope that helps.
Please answer correctly ASAP !!!!! WILL MARK BRAINLIEST !!!!!!!!
Answer:
lool thats teams,
Step-by-step explanation:
The graph shows the numbers of quarts of yellow
paint that must be mixed with different numbers of
quarts of red paint to make a certain shade of orange
paint.
Answer:
Step-by-step explanation:
The given graph is a straight line graph. The y axis represents the number of quarts of yellow paint that is mixed. The x axis represents the number of quarts of red paint that is mixed. We would write the required equation in the slope intercept form. The slope intercept form equation of a straight line is expressed as
y = mx + c
Where
m represents slope
c represents y intercept.
Slope = (y2 - y1)/(x2 - x1)
Slope = (2 - 1)/(5 - 2.5) = 1/2.5
Slope = 0.4
The straight line cuts the y axis at y = 0
It means that c = 0
Therefore, the equation is
y = 0.4x
48. Calculate the number of sides of a regular polygon whose interior angle is
140°
A. 6 B. 9 C. 12 D. 15 E. 40
the answer is B. 9 sides
(short answers plzz)
1- An ordered pair has coordinates that have the same sign. In which quadrant(s) could the point lie? Explain.
2- Another ordered pair has coordinates that are opposites. In which quadrant(s) could the point lie? Explain
Answer:
1) quadrants 1 and 3
2) quadrants 2 and 4
Step-by-step explanation:
A $20,000 investment earned a simple interest rate of 5.4%. How much interest was earned in one year?
Answer:
The interest earned in a year was $1080.
Step-by-step explanation:
Since the money was invested at a simple interest rate, then the amount earned in one year is given by the following formula:
M = C*r*t
Where M is the amount earned, C is the amount invested, r is the rate of interest and t is the time elapsed. Applying the data from the problem, we have?
M = 20000*(5.4/100)*1
M = 20000*0.054
M = 1080
The interest earned in a year was $1080.
Answer:
1,080
Step-by-step explanation:
Rewrite 2 cos 75 degrees sin 75 degrees a double angle identity
It follows from the double angle identity for sine,
sin(2x) = 2 sin(x) cos(x),
that
2 cos(75º) sin(75º) = sin(2•75º) = sin(150º)
Alternatively, recall that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
sin(x - y) = sin(x) cos(y) - cos(x) sin(y)
Adding these together gives
sin(x + y) + sin(x - y) = 2 sin(x) cos(y)
Set x = y = 75º; then
2 sin(75º) cos(75º) = sin(75º + 75º) + sin(75º - 75º)
2 sin(75º) cos(75º) = sin(150º)
2 cos 75° . Sin 75° = Sin 150°
Notice:
Sin 150 º = Sin 30°
See that Sin 75° = Cos 15°
Cos 75° = Sin 15°
So :
2Cos 75° . Sin 75° = 2 Sin 15°Cos°15 = Sin 30°