Answer:
39,000
Step-by-step explanation:
$25x30=$750
$750x52=$39000
Question:
Consider the rectangle shown here.
A. State its area in square inches.
B. State its area in square feet, to the nearest tenth.
C. In general, A square inches equals how many square feet?
Answer:
A. Area in square inches = 1760 square inches
B. Area in square feet = 12.2 square feet
C. 1 square inch = [tex]\frac{1}{144}[/tex] feet
Step-by-step explanation:
Given,
Length of the rectangle (l) = 55 inches
Breath of the rectangle (b) = 32 inches
A. Area of the rectangle = length × breath
⇒ 55 × 32
⇒ 1760 square inches
Area in square inches = 1760 square inches
B. 1 foot = 12 inches
1 inch = [tex]\frac{1}{12}[/tex] feet
1 square inch = [tex]\frac{1}{144}[/tex] feet
∴ 1760 square inches = [tex]\frac{1760}{144}[/tex] feet
⇒ 12.2222 square feet
Area in square feet = 12.2 square feet
C. 1 square inch = [tex]\frac{1}{144}[/tex] feet
What is half the sum of a number and sum
Answer:
1/2(n+5)
Step-by-step explanation:
Two angles add to 90°. The larger angle is 12° more than five times the measure of the smaller angle. Find the measure of the two angles.
Answer:
13 and 77 degrees
Step-by-step explanation:
First, you start by subtracting 12 from the 90..
90 - 12 = 78
then, take 78 and divide it by 6.
78/6 = 13
13 is the measure of your smaller angle.
multiply 13 by 5 and then add 12 to find the measure of the larger angle.
13 x 5 = 65
65 + 12 = 77
77 is the measure of your larger angle.
An isosceles trapezoid is a quadrilateral with two congruent legs, a pair of parallel bases, and congruent base angles. Prove the diagonals of an isosceles trapezoid are congruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.
"When the sides are congruent (same direction and size), and the two opposite sides are parallel, the angles are the same. In an isosceles triangle, two angles are congruent, because two sides are congruent."
Someone else's answer, heres the link
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What would be the answer? I said 46.
Answer:
84
Step-by-step explanation:
We can represent the money Emily has as x, and the money Juan as j.
x = j + 19
Substituting 65 for j we get
x = 65 + 19
x = 84
What is the measure of ZY, in degrees?
Which is the pair of congruent
Answer:
CBA = DEA
Step-by-step explanation:
Theyre the only right angles listed.
Find the volume of the figure below. Round to the nearest tenth.
Answer:
The volume of the figure given is:
3057,57 cm^3Step-by-step explanation:
To find the volume of the figure in the picture, first, you must divide the figure in the two known figures there: a cylinder and a rectangular prism, now you can find the volume of each figure separated and at the last add the two volumes.
Volume of the cylinder.
The formula to find the volume of a cylinder is:
Volume of a cylinder = PI * r^2 * hWhere:
PI = 3,1416 approximately (In this case I´ll use the number without approximation, you can find this in the calculator).
r = radius (the distance from a side of the circle to the center of this, in this case, is 7 cm)
h = height (in this case is 7 cm too, you can find these values in the figure given)
Now we must replace the values:
Volume of a cylinder = PI * r^2 * h Volume of a cylinder = PI * (7 cm)^2 * 7 cm Volume of a cylinder = 1077,57 cm^3 approximately.Volume of the rectangular prism.
The volume of a rectangular prism is actually easy, you only must multiply the width, the length, and the height, so, the formula is:
Volume of a rectangular prism = width * length * height.When we replace the values given in the figure:
Volume of a rectangular prism = 11 cm * 20 cm * 9 cm Volume of a rectangular prism = 1980 cm^3At the last, we add the two volumes found:
Volume of the figure = 1077,57 cm^3 + 1980 cm^3 Volume of figure = 3057,57 cm^3The random numbers below represent 15 trials of a basketball simulation conducted using a spinner numbered 0–8. 76645, 46757, 28334, 81357, 52453, 21761, 51537, 62385, 62135, 16687, 41662, 27135, 45445, 33858, 86427 Let the number 1 represent a 3-point basket and the numbers 2–8 represent 2-point baskets. Based on the simulation, what is the probability that at least one of the next 5 baskets made by the team is a 3-pointer? A. 6/15 B. 8/15 C. 5/15 D. 7/15
Answer:
7/15
Step-by-step explanation:
probability of one being a a 3-pointer is
1 2 3 4 5 6 7
7/15
Probability that at least one of the next 5 baskets made by the team is a 3- pointer is 7 / 15.
What is probability?" Probability is a branch of mathematics which represents ratio of number of favourable outcomes to the total number of outcome of any event."
Formula used
Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]
According to the question,
Random number represents 15 trials
Therefore,
Total number of outcomes = 15
At least one of the 5 team baskets made by the team is a 3- pointer
Sample space of favourable outcomes
= { 81357, 21761, 51537, 62135, 16687, 41662, 27135}
Number of favourable outcome = 7
Required probability = 7 / 15
Hence, Option (D) is the correct answer.
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Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs. What percentage of time was spent sprinting? please explain how you get the answer, I want to understand on my own and math is a struggle for me.
If Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs, the percentage of time he spent sprinting is 22.2%.
What is Percentage?Percentage is simply number or ratio expressed as a fraction of 100.
It is expressed as;
Percentage = ( Part / Whole ) × 100%
Given that;
Time spent on push ups = 2 hoursTime spent on sprints = 1 hoursTime spent on benching = 1.5 hoursPercentage of time spent sprinting P = ?First we determine the total time.
T = tPUSHUPS + tSPRINT + t BENCHING
T = 2hrs + 1hr + 1.5hrs
T = 4.5hrs
Now, percentage of time spent sprinting P will be;
Percentage = ( Part / Whole ) × 100%
Percentage = ( tSPRINT / Total time ) × 100%
P = ( 1hr / 4.5hr ) × 100%
P = ( 0.2222 ) × 100%
P = 22.2%
Therefore, if Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs, the percentage of time he spent sprinting is 22.2%.
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Which number is rational?
Answer:
D
Step-by-step explanation:
0.333... is rational because it can be lined up to the fraction 1/3.
Answer:
D.
Step-by-step explanation:
The definition of a rational number is a number that can be expressed as the ratio of two integers.
We cannot represent pi as a ratio of two integers, so it cannot be A. Apply the same definition and B and C are out.
We know that 0.333... = 1/3. This number can be represented as the ratio of two integers, so this is the correct answer.
I hope this helps!
please help
From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units.
Answer:
122
Step-by-step explanation:
Let x ft. be the distance from neighbour's fence to the house.
Please see attached picture for full solution.
Thus, distance from neighbour's fence to the house is 122 ft. (nearest whole number)
To write 11x^2+17x-10 in factored form, Diego first listed pairs of factors of -10.
(__+10)(__+-1)
(__+1)(__+-10) (fill in blanks)
(You dont need to explain just answer it)
Help please.....anyone
Answer:
200 dollars
Step-by-step explanation:
Mai bought eleven 12-ounce bags of
walnuts. How many pounds of walnuts did
she buy? (16 ounces = 1 pound)
Answer:
8.25 pounds
Step-by-step explanation:
When you multiply 12 and 11 you get 132. So then you would have to divided the total amount of ounces by 16 to get the amount of pounds
Can someone help me on these two questions?
Answer:
So to find ratio for questions like these we do x/y
So the ratio for the first one is 5/7
The ratio for the second is 12/7 or 1 5/7
Step-by-step explanation:
Evaluate 4x3 + 2 for x = -1. -6 -2 -10 -62
Answer:
-2125762
Step-by-step explanation:
Solve |2x + 6|<16
A {x|-11
B {x<-11 or x>5}
C {x|-5
solve for x
9^x/9^3=9^5
Answer:
9^x =9^5.
9^3
cross multiply
9^x=9^5×9^3
the nine cancel themselves .
x=5+3=8.
Answer:
x=8
Step-by-step explanation:
when dividing, you subtract the indicies (powers) and vice versa
rearrange the equation:
9^x=9^5*9^3
5+3= 8 (add because when multiplying with indicies you need to add the indicies)
check answer:
9^8/9^3=9^5
8-3=5 ✓
3. If f(x)=2x+3 then what is f(x+1)? Plzzz answer ASAP
Answer:
=2x+5
Step-by-step explanation:
f(x)=2x+3
Replace x with x+1
f(x+1)=2(x+1)+3
=2x+2+3
Combine like terms
=2x+5
Be certain you have solved for both variables in the system of equations. Solve the following systems of equations algebraically. Show your work. 5x-y=-5 3x-5y=-3
Answer:
x= 1.27, y= 11.4 (to 3s.f.)
Step-by-step explanation:
5x -y= -5 -----(1)
3x -5y= -3 -----(2)
From (1):
-y= -5x -5
divide by -1 throughout:
y= 5x +5 -----(3)
Subst. (3) into (2):
3x -5(5x +5)= -3
3x -25x +25= -3 (expand)
-22x= -3 -25
-22x= -28
divide by -22 throughout:
x= 1.2727 (5 s.f.)
x= 1.27 (3 s.f.)
subst. into (3):
y= 5(1.2727) +5
y= 11.4 (3 s.f.)
i need help with this ASAP
Answer:
[tex]1/9[/tex]
Step-by-step explanation:
when you divide a exponents, you subtract them. 4 - 0 = 4
3 to the power of 4 to the power of 2 = 3 to the power of 8, since exponents multiply.
3 to the power of negative 6 * 3 to the power of 8 = 3 to the power of negative 2, since multiplication adds the exponents when the base is equal.
3 to the power of negative 2 is 1/9
Rewrite each of the following questions as a statistical question. I WILL GIVE BRAINLIEST!!
a. How many pets does your teacher have?
b. How many points did the high school soccer team score in its last game?
c. How many pages are in our math book?
d. Can I do a handstand?
Answer:
How many pets do my teachers have?
How many points did the high school soccer team score in its last few games?
Which of our school books has the most pages?
How many handstands can I do in 10 mins?
Step-by-step explanation:
To turn a question into a statistical question, make the question so that you can collect more than one piece of data. This is what makes a statistical question statistical.
The Statistical question are:
How many pets do my teachers have?How many points did the high school soccer team score in its last few games?Which of our school books has the most pages?How many handstands can I do in 10 mins?What is Statistical Question?A statistical query will ask a question with a variable response. After collecting and analysing data, the answer might provide an interpretation of the information.
A statistical question is one that can be answered by gathering varying amounts of data.
Make the question so that you can collect more than one piece of data to convert it into a statistical query.
So, the Conversion into statistical question are
How many pets do my teachers have?How many points did the high school soccer team score in its last few games?Which of our school books has the most pages?How many handstands can I do in 10 mins?Learn more about Statistical Question here:
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Mark all the statements that are true.
What is... 55.
One more?.......,,,
One less?.............
Ten more?...........,
Ten less?..............
Answer:
one more would be 56
one less would be 54
ten more would 65
ten less would be 45
Step-by-step explanation:
add one more to 55 to get 56
subtract one from 55 to get 54
add ten more to 55 to get 65
subtract ten from 55 to get 45
What is the height of this isosceles triangle?
Answer:
height ≈ 11.9 units
Step-by-step explanation:
Construct a perpendicular bisector from the vertex to the base, thus splitting the triangle into 2 right triangles.
Using the sine ratio in one of these right triangles, then
sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] ( the opposite is the height h )
sin48° = [tex]\frac{h}{16}[/tex] ( multiply both sides by 16 )
16 × sin48° = h , thus
h ≈ 11.9 ( to the nearest tenth )
The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6
movie tickets is $80. The cost of a bucket of popcorn is $8. Which equation represents the relationship between y, the total
cost of the popcorn and movie tickets, and x, the number of movie tickets that are purchased?
y = 12x + 8
y = 12x - 8
y = 14x + 8
y = 14x - 8
Answer:
y = 12x + 8
Step-by-step explanation:
You can come to this conclusion by plugging in the amount of tickets bought as x in each equation, making sure the the answer y is $56 if x = 4 and $80 if x = 6
Answer:
a
Step-by-step explanation:
What is the equation of a line, in standard form, for the line with slope 5 and a y-intercept of -4?
a) 5x + y - 4 = 0
b) 5x - y + 4 = 0
c) 5x - y - 4 = 0
d) 5x + y + 4 = 0
Answer:
Option c
Step-by-step explanation:
Converting all options into slope intercept, you get
a) y=-5x+4
b) y=5x+4
c) y=5x-4
d) y=-5x-4
option c has slope 5 and y-intercept -4
Find the 7th term of the geometric sequence a3 =128,r=-1/4
Answer:
Step-by-step explanation:
The general formula for this sequence is a(n) = a(1)*(-1/4)^(n - 1). We don't yet know a(1).
If a(3) = 128, then 128 = a(1)*(-1/4)^(3 - 1), or
128 = a(1)*(1/16)
and so a(1) = 128/16
resulting in the specific formua a(n) = 8(-1/4)^(n - 1)
Now let's find a(7):
a(7) = 8(-1/4)^1 * (-1/4)^(6)
or
a(7) = 8(-1/4)^7
Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x, and log y.
log x^3 y^4
Answer:
log x³ y⁴ = 3 log ( x ) + 4 log( y)
Step-by-step explanation:
Given function log x³ y⁴
step(i):-
Applying logarithmic formula
log ( a b ) = log (a) +log (b)
log x³ y⁴ = log ( x³ ) + log( y⁴)
step(ii):-
Applying logarithmic formula
log (x ⁿ) = n log x
log x³ y⁴ = log ( x³ ) + log( y⁴)
log x³ y⁴ = 3 log ( x ) + 4 log( y)
final answer:-
log x³ y⁴ = 3 log ( x ) + 4 log( y)