Answer:
12.6
Step-by-step explanation:
[tex]\frac{84}{87}[/tex] = [tex]\frac{x}{13}[/tex]
cross multiply
87x = 1092
x = 12.6 rounded
The drama club had a 'Yard Clean Up' day to earn money for their next production. At the end of the day, they had earned a total of $480. How much money did they have after they subtracted the amount they spent for the trash cans and plastic bags? What other information is needed to solve this problem? 1. The number of yards they cleaned up 2. The cost of the trash cans and plastic bags 3. The number of people who were working 4. The cost of cleaning up one yard
Answer:
2). The cost of the trash cans and plastic bags.
Step-by-step explanation:
As per the details provided, the information regarding 'the cost incurred on buying the trash cans, as well as, plastic bags for the cleanup process' is very necessary to find the money left with the drama club from their earnings. The amount they earned within the day is given and the amount left is being asked in the question post the expenditure of the cans and plastic bags for the cleaning process. To subtract the incurred expense from the total earnings, one will need information regarding the cost of those bags and cans. Thus, option 2 is the correct answer.
Find the value of "x" of given parallelogram
Answer:
The answer is 1.5
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7x - 7 = 5x - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7x - 5x = - 4 + 7 \\ \: 2x = 3\\x = \frac{3}{2} \\ x = 1.5[/tex]
i hope so..
You wish to purchase a new car and can afford monthly repayments of up to $250 per month. You see a car you like for $12,000 and are offered financing to secure the purchase. The loan lasts for 5 years and the annual interest rate is 17.9%. Can you afford to purchase the car on finance?
Answer:
Since the finance’s monthly required payment of $304.07 is greater than the $250 monthly that you can afford, this implies that you CANNOT afford to purchase the car on finance.
Step-by-step explanation:
The monthly required payment of the finance can be calculated using the formula for calculating the present value of an ordinary annuity as follows:
PV = M * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
PV = Present value or finance amount = $12,000
M = Finance’s monthly required payment = ?
r = Monthly interest rate = Annual interest rate / 12 = 17.9% / 12 = 0.179 / 12 = 0.0149166666666667
n = number of months = Number of years * 12 = 5 * 12 = 60
Substitute the values into equation (1) and solve for M, we have:
$12,000 = M * ((1 - (1 / (1 + 0.0149166666666667))^60) / 0.0149166666666667)
$12,000 = M * 39.464764662266
M = $12,000 / 39.464764662266 = $304.07
Since the finance’s monthly required payment of $304.07 is greater than the $250 monthly that you can afford, this implies that you CANNOT afford to purchase the car on finance.
given that O is the center of the circle, find the measure of angle BAC of arc DC = 120
Answer:
30 degrees.
Step-by-step explanation:
DC is given as 120, so start off by finding arc BC.
180-120= Semicircle-DC=60.
BC=60.
Inscribed angles are half of their arcs.
60/2=30.
Can someone help me with this math homework please!
Answer:i dont know
Step-by-step explanation:
Solve for x. Round your answer to the nearest tenth if necessary
Answer:
x = 11.7
Step-by-step explanation:
[tex]\frac{50}{39}[/tex] = [tex]\frac{15}{x}[/tex]
50x = 585
x = 11.7
Lol do yu guys know this?? plz help
Answer: Choice C. 32,768
Explanation:
2.5 hours = 2.5*60 = 150 minutes
150/10 = 15
There are 15 periods that are 10 minutes each in a 2.5 hour timespan.
y = a*b^x
y = 1*2^15
y = 32,768
If you started with a = 1 bacterium, then it will double a total of 15 times to end up with 32,768 bacteria after the 2.5 hour period.
(05.05 HC)The four points (−2, 5), (−2, −1), (5, −1), and (3, 5) are the vertices of a polygon. What is the area, in square units, of this polygon? 27 units2 33 units2 36 units2 51 units2
Answer:
Area = 36 squ. unit
Step-by-step explanation:
According to the Question,
Given That, The four points (−2, 5), (−2, −1), (5, −1), and (3, 5) are the vertices of a polygon. (Please find diagram in attachment)by using these points a quadrilateral is formed with two opposite sides 7 and 5 and with height 6 (Refer in the diagram).
Therefore, the area of this polygon isArea = 1/2 * (sum of opposite side) * height
Area = 1/2 * (7+5) * 6
Area = 3*12
Area = 36 squ. unit
Answer:
36
Step-by-step explanation:
A field is 360 feet long and 160 feet wide. Sod can be purchased in squares in increments from 1 foot wide up to 7 feet wide. What is the largest size squares Steve can purchase with which he can cover the field completely without any gaps or overhangs?
Answer:
We need 1600 squares with a width of 6 feet to cover the entire field without any gaps nor overhangs.
Step-by-step explanation:
The number of squares required to cover the field is equal to the area of the field divided by the area of a square:
[tex]n = \frac{A}{l^{2}}[/tex] (1)
Where:
[tex]n[/tex] - Quantity of squares, in feet.
[tex]A[/tex] - Area of the field, in square feet.
[tex]l[/tex] - Length of each square, in feet.
If we know that [tex]A = 57600\,ft^{2}[/tex], then we have the following hyperbolic function:
[tex]n = \frac{57600}{l^{2}}[/tex]
Now we plot the function with the help of graphing tools, whose result is presented below. Please notice that quantity of squares must be an integer and we need 1600 squares with a width of 6 feet to cover the entire field without any gaps nor overhangs.
Determine the area of the triangle.
67.7 square units
777.2 square units
135.5 square units
5.9 square units
Answer:
cuadradas 777,2 unidades
Step-by-step explanation:
Answer:
67.7
Step-by-step explanation:
i just took the quiz
m.c.m (35;50)
m.c.d (35;50)
m.c.m (116;92)
m.c.d (116;92)
Ayudaaa
9514 1404 393
Answer:
350, 5, 2668, 4
Step-by-step explanation:
a) mcm(35, 50) = 35·50/mcd(35, 50) = 35·50/5 = 350
__
b) mcd(35, 50) = 5
35 = 5·7; 50 = 5·10
__
c) mcm(116, 92) = 116·92/mcd(116, 92) = 116·92/4 = 2668
__
d) mcd(116, 92) = 4
116 = 4·29, 92 = 4·23
What is the solution to the system of equations below?
y = three-fourths x minus 12 and y = negative 4 x minus 31
Answer:
x,y = -4, -15
Step-by-step explanation:
Chad gets an annual salary of 25,000. He and his family spend 3500 per year on food. What percent of his salary is spent on food
Answer:
[tex]\frac{x}{100}[/tex] x 25000 = 3500
[tex]x[/tex] x 250 = 3500
x = 3500/250
x = 350/25
x = 14%
i don’t know if i got the answer wrong but help!
Answer:
skew
Step-by-step explanation:
Perpendicular lines must intersect. In fact, they intersect forming right angles.
Lines AC and RC are not in the same plane and do not intersect.
They are called "skew lines."
Skew
Because they are in different plane and do not intersect and are not parallel
A committee that consists of five members are to be chosen from 6 boys and 5 girls. Find the number of different committees that can be formed if only two boys are selected
Answer:
150 different committees can be formed
Step-by-step explanation:
We have 6 boys and 5 girls and we want to select 5 members
Out of these 5 members, two boys are selected
Since two boys are selected, we are left with three girls
So, out of 6 boys, we select 2 boys and out of 5 girls, we select 3 girls
Mathematically, we know that the number of ways in which we can select r items from a total n follows the combinatorial formula;
nCr = n!/(n-r)!r!
With this, we have;
6C2 * 5C3
= (6!/(6-2)!2!) * (5!/(5-3)!3!) = 150 different committees can be formed
For what value of b will f(x) = x^2 + bx + 400 have -20 as its only zero? Record your answer and fill in the bubbles on your answer document.
The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero then the value of b is 40.
The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero
Then x=-20
What is the zero of a polynomial?The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.
x=-20 is the zero of the given polynomial
Therefore it satisfies the given polynomial
[tex]f(-20)=(-20)^2+b(-20)+400[/tex]
[tex]0=400-20b+400\\800-20b=0\\-20b=-800\\b=\frac{-800}{-20} \\b=40[/tex]
Therefore the value of b is 40.
To learn more about the zeros of the polynomials visit:
https://brainly.com/question/12461081
.The endpoints of AB are A(1,4) and B(6,-1).
Answer:
5√2
Step-by-step explanation:
Finding distance :-
d = √{ ( 1 -6)² + (4+1)²}d = √{ -5² + 5² }d = √{ 25 + 25} d = √50 d = 5√22. In AABC, m < B = 22°, m < C = 52° and a = 30. Find the length of b to the nearest tenth.
Answer:
232
Step-by-step explanation:
===========================================
Explanation:
I recommend drawing out the triangle. See below.
Notice how each lowercase letter is a side length, and the uppercase letters are angles. Also, each lowercase letter is opposite their corresponding uppercase counterpart.
side a is opposite angle Aside b is opposite angle Bside c is opposite angle CWe're given that angles B and C are 22 degrees and 52 degrees in that order. Let's use the fact that the three angles of any triangle must add to 180 to solve for angle A
A+B+C = 180
A+22+52 = 180
A+74 = 180
A = 180-74
A = 106
We do this so we can then apply the law of sines
sin(A)/a = sin(B)/b
sin(106)/30 = sin(22)/b
b*sin(106) = 30*sin(22) ....... cross multiplication
b = 30*sin(22)/sin(106)
b = 11.6910908340182 ....... which is approximate
b = 11.7
Make sure your calculator is in degree mode.
What is the length of DK?
A) 8.5
B) 12.7
C) 7.0
D) 3.5
Answer:
A
8.5 is the answer
If you test is going on so
all the best!
Find the area of the rhombus
Answer:
60 u²
Step-by-step explanation:
Finding second diagonal :-
d' = √{ 17² - 8²} d' = √{ 289 - 64 } d' = √{ 225 } d' = 15 uUsing formula :-
A = 1/2 * d * d' A = 1/2 * 15 * 8 A = 15 * 4 u²A = 60 u²You use a cone-shaped cup to drink water. The cup
has a diameter of 6 centimeters and a height of
12 centimeters. What is the volume of the cup?
Use 3.14 to approximate pi. Round your answer
to the nearest tenth.
Answer:
V = 133 cm³
Step-by-step explanation:
The formula for the volume of a cone is V = (πr²h) / 3, which is just the formula for the volume of a cylinder but divided by 3, by the way.
If the diameter is 6, divide that by 2 to get a radius of 3 cm. The height and pi are already given.
V = ((3.14)(3)²(12)) / 3
V = (339.12) / 3
V = 113.04 cm³, or if rounded, it should just be 133 cm³
Answer:
113.0
Step-by-step explanation:
You have to round. Also its correct on Imagine Math.
If Wade has 2 times as many dimes as quarters and they have a combined value of 270 cents, how many of each coin does he have?
Answer:
Step-by-step explanation:
If he has twice the number of dimes as quarters, then obviously he has more dimes than quarters. The expression that represents that is
d = 2q
That relates the NUMBER of coins; now we need one that relates the VALUE which is a dollars and cents thing. We know that the combined value of the coins is $2.70. The expression that represents this is
.1d + .25q = 2.70 because dimes are worth .10 and quarters are worth .25
Subbing the first equation into the second gives us
.1(2q) + .25q = 2.70 and
.2q + .25q = 2.70 and
.45q = 2.70 so
q = 6
This means he has 6 quarters. If the umber of dimes is twice as much, then d = 2(6) and d = 12.
He has 6 quarters and 12 dimes
A cubic polynomial with zeros at -2, 1, and 4 passes through (2, -56). What is the
leading coefficient of the polynomial?
Answer:
6, -5 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the cubic polynomial in standard form.
Find a recursive rule for the nth term of the sequence.
5, 20, 80, 320, ...
Answer:
[tex] a_1 = 5 [/tex]
[tex] a_n = 4a_{n - 1} [/tex]
Step-by-step explanation:
[tex] a_1 = 5 [/tex]
20/5 = 4
80/20 = 4
320/80 = 4
This a geometric sequence with r = 4.
[tex] a_n = 4a_{n - 1} [/tex]
Answer:
[tex] a_1 = 5 [/tex]
[tex] a_n = 4a_{n - 1} [/tex]
For this graph, mark the statements that are true.
A. The domain is the set of all real
numbers.
B. The range is the set of all real
numbers greater than or equal to
zero.
C. The domain is the set of all real
numbers greater than or equal to
zero.
D. The range is the set of all real numbers.
Based on the graph, the following statements are true:
A. The domain is the set of all real numbers.
D. The range is the set of all real numbers greater than or equal to zero.
The graph demonstrates that the function will always produce a real number larger than or equal to zero regardless of the real number used as an input. The set of all real numbers constitutes the domain, whereas the set of all real numbers larger than or equal to zero constitutes the range. The other two claims are false. The range is neither the set of all real numbers, nor is the domain restricted to real numbers larger than or equal to zero.
As a result, the right responses are A and D.
To know more about graph:
https://brainly.com/question/17267403
#SPJ2
Which number line represents the solution set for the inequality-1/2x>_4
Answer:
B
Step-by-step explanation:
Firstly, we solve for x
-x ≥ 2 * 4
-x ≥ 8
Multiply both sides by -1
x ≤ -8
So we look at the inequality represented by this;
We can see that the correct inequality is option B;
Help and explain pls and thankyouuu
Answer:
f(-3.2) = -7.2
Step-by-step explanation:
Here, we want to calculate f(-3.2)
What we have to do here is to substitute-3.2 for x in the equation for f(x)
Mathematically, we have this as;
f(-3.2) = -3.2-4 = -7.2
can you help me with this question please?
Answer:
(1, -3)
Step-by-step explanation:
You can see where the two lines intersect - that's the solution.
Please helped timed question. Solve for a, b, and A. Round to the nearest tenth.
Answer:
[tex]\angle A=90-72[/tex]
[tex]\angle A=18[/tex]
---------------
[tex]sin~72=\frac{b}{11}[/tex]
[tex]11\times sin~72=6[/tex]
[tex]b=10.5[/tex]
----------------
[tex]11\times cos~72=a[/tex]
[tex]a=3.4[/tex]
----------------
ANSWER:
a=3.4
b=10.5
∠A=18
-----------------------
hope it helps...
have a great day!!
PLEASE HELP MEEEEEEEE ILL MARK YOU BRAINLIEST
A set of 3 pens cost 1.68 at that unit price,how much will 10 pens cost?
Answer:
16.8
Step-by-step explanation:
Answer:
5.60
Step-by-step explanation:
To find what 10 pens cost we have to go down to the cost of 1 pen first.
If 3 pens costs 1.68 then the cost of 1 pen is 1.68 divided by 3.
[tex]\frac{1.68}{3} = 0.56[/tex]
If one pen costs 0.56 then 10 pens cost 0.56 multiplied by 10.
0.56 × 10 = 5.60