Answer:
13 friends
59-7=52(to find the number of balls that Mike gave to his friends if he gave them only one ball each)
52/4 =13(if 52 is the number of balls that he gave them if he gave them one each, if he gives them four balls each all you have to do is to divide it by 4)
46. Order these numbers from least to greatest:
1/2, 0.4, 1/3, 1/5
Answer:
1/5, 1/3, 0.4, 1/2
Step-by-step explanation:
1/5 = 0.2
1/3 = 0.33
1/2 = 0.5
Simplify 2 root 3 multiply 3 root 6
Answer:
18√2
Step-by-step explanation:
2√3 x 3√6
2 x 3 x (√6 x √3)
=> 6√18
=> 6√(3x3x2)
=> 6 x 3√2
=> 18√2
Write the cubes of 5 natural numbers which are of the form 3n + 1 (eg.4,7,10…)and verify the following
"The cube of a natural number of the form 3n + 1 is a natural number of the
Same form
in when divided by 3 it leaves the remainder 1'
Answer:
yes it is true
Step-by-step explanation:
write the first five elements then write their cubes then write the cubes in the same form
for eg:
4³=16= 3×5+1= 3n+1
7³=49=3×16 +1= 3n + 1
and so on till the fifth element...
Solve the following problem. Round to one decimal place if necessary.
Answer:
Sinθ = Opposite/hypotenuse
[tex] \sin(21) = \frac{x}{22} \\ 0.358 = \frac{x}{22} \\ x = 22 \times 0.358 \\ x = 7.88[/tex]
I hope I helped you^_^
Write the equation of the line that passes through the points
(3,-2) and (6, 1).
y=x-5
y = 5x + 1
y = -x + 5
Answer:
It is y = x - 5
Step-by-step explanation:
General equation of a line:
[tex]{ \bf{y = mx + c}}[/tex]
m is the gradient, and c is y-intercept.
For gradient:
[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1}} [/tex]
substitute:
[tex]slope = \frac{1 - ( - 2)}{6 - 3} \\ \\ = \frac{3}{3} \\ slope \: = 1[/tex]
m = 1
for y-intercept:
consider point (6, 1):
[tex]y = mx + c \\ 1 = (6 \times 1) + c \\ 1 = 6 + c \\ c = 1 - 6 = - 5[/tex]
therefore:
[tex]{ \sf{equation \: is \: \{y = x - 5 \}}}[/tex]
2(x+1) = -8x +8(x-2)
x=?
4(7+2x)=-2(x+4)+4x
x=?
Hi ;-)
Equation 1°
[tex]2(x+1)=-8x+8(x-2)\\\\2x+2=-8x+8x-16\\\\2x+8x-8x=-16-2\\\\2x=-18 \ \ /:2\\\\\huge\boxed{x=-9}[/tex]
Equation 2°
[tex]4(7+2x)=-2(x+4)+4x\\\\28+8x=-2x-8+4x\\\\8x+2x-4x=-8-28\\\\6x=-36 \ \ /:6\\\\\huge\boxed{x=-6}[/tex]
Find the surface area of the composite solid below. (2 ft, 2 ft, 2 ft, 3 ft)
Answer:
44 sq. ft
Step-by-step explanation:
5(2^2) = 20
4(3x2) = 24
20+24 = 44
Three friends were at a festival together and they won 20 small prizes. They decided to split the prizes as evenly as possible. How many prizes will they each get?
Answer:
they would each get 6 and there would be 2 left over
Step-by-step explanation:
3x6=18
20-18=2
=2 leftovers
Answer:
Each of the friends will get 6 with 2 small prizes remaing
Step-by-step explanation:
20 ÷ 6 = 18 remainder of 2
Ignore the 2 because you cannot split 2 evenly from 3 people.
So each friend gets 6, while there is a 2 remainder
To check our work just do 6 × 3 = 18 and 20 - 18 = 2
So, in conclusion, each friend get 6 while there are 2 small prizes left
Giving brainliest, show yo work!
Answer:
done the first 3
Step-by-step explanation:
5×-3=-15
2×4=8
3×-5=-15
(-15+8)²+-15
(-7)²+-15
-49-15
=-74
(2×-3×-6)²-5(4)
(36)²-20
1296-20
=1276
(-3×4×-5)+3(4)³
60+192
=252
Answers;
1. {(5x + 2y)}^{2} + 3z \\ {(5( - 3) + 2(4))}^{2} + 3( - 5) \\ {( - 15 + 8)}^{2} - 15 \\ {( - 7)}^{2} - 15 \\ 49 - 15 \\ 34 \\ \\ 2. \: 2 {(xz)}^{2} - 5y \\ 2 ({( - 3)( - 5)})^{2} - 5(4) \\ 2 {(15)}^{2} - 20 \\ 2(225) - 20 \\ 450 - 20 \\ 430
one month, ruby worked 6 hours more than isaac, and svetlana worked 4 times as many hors as ruby. together they worked 114 hours. find the number of hours each person worked
Answer:
Ruby = 18+6=24
Isaac = 18
Svetlana = 4*18=72
24+18+72=114
Step-by-step explanation:
Ruby= x+6
Isaac= x
Svetlana = 4x
x+6+x+4x = 114
6x = 114 - 6
x = 108/6
X = 18
Given CH with C(2, 1) and H(-2,-15), find
the coordinates of E if E divides CH three
fourths of the way from C to H.
The coordinate of E will be (1, -3) if the coordinates of E if E divides CH three -fourths of the way from C to H
Midpoint of a line is a point that divides a line into two equal parts.
If the line is divided in the ratio a:b, then the midpoint formula will be expressed as:
[tex]M(X,Y) =(\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b})\\[/tex]
Given the coordinate points, C(2, 1) and H(-2, 15) divided in the ratio of 3:4
[tex]X = \frac{3(2)+1(-2)}{3+1}\\X= \frac{6-2}{4}\\X=\frac{4}{4}\\X = 1[/tex]
Get the coordinates Y:
[tex]Y = \frac{3(1)+1(-15)}{3+1}\\Y= \frac{3-15}{7}\\Y=\frac{-12}{4}\\Y= -3[/tex]
This shows that the coordinate of E will be (1, -3)
Learn more here: https://brainly.com/question/3510899
Round 55,553.65478 to:
a. hundreds
and
b. thousandths
Answer:
a. hundreds
55,600
b. thousandths
55,553.65500
Solve the following equation for X to find the total number of people who downloaded songs for music site for a certain month.
X= 0.6x + 384
How many people downloaded songs from the site that month?
Answer:
960
Step-by-step explanation:
x=0.6x+384
0.4x=384
960
Answer:
960
Step-by-step explanation:
x = 0.6x + 384
Subtract 0.6x in both sides:
0.4x = 384
Divide both sides by 0.4:
x = 384/0.4
x = 960
Segment addition postulate
Find RT
Answer:
RT = 25.5
Step-by-step explanation:
RT = RS + ST = 17 + 8.5 = 25.5
Estimate 26 to the nearest tenth. Then locate 26 on a number line.
Answer:
30 is the nearest tenth of 26
Quadrilateral ABCD is a square. What is the length of AC?
Select the best answer from the choices provided.
A. 11
B.15.556
C.19.052
D. 22
Write the Roman Numeral CLXIV in standard form. Standard Roman Number Numeral 1 1 5 V 10 X 50 100 500 D 1,000 M XJ002 2 A) 169 OB) 166 C) 164
Answer:
C. 164
Step-by-step explanation:
its self explanitory
Can someone answer this? It’s 9th grade algebra
Answer:
C
Step-by-step explanation:
We want to solve the inequality:
[tex]\displaystyle 5.1(3 + 2.2x) > -14.25 - 6(1.7x+4)[/tex]
Distribute:
[tex](15.3+11.22x) > -14.25 + (-10.2x-24)[/tex]
Combine like terms:
[tex]15.3 + 11.22x > -10.2x-38.25[/tex]
We can add 10.2x to both sides:
[tex]15.3 + 21.42x > -38.25[/tex]
Subtract 15.3 from both sides:
[tex]21.42x > -53.55[/tex]
And divide both sides by 21.42. Hence:
[tex]\displaystyle x > -2.5[/tex]
This means all values greater than -2.5. Hence, in interval notation:
[tex](-2.5, \infty)[/tex]
In conclusion, our answer is C.
help plz i will rate
felicia went out to dinner with friends. when the check came, she said she would pay the tip. the tip was 10 percent of the total bill for all 4 people was $22.00. what was the total tip she paid?
Answer:
$2.20
Step-by-step explanation:
The tip is 10% of $22, or 0.1 * 22 = 2.2
So $2.20 (we can add a hidden 0 on the end)
19. A square is divided into a 100-by-100 grid of smaller squares. If 100
squares are shaded in the top row, 99 in the second row, 98 in the third
row, and so on, what is the ratio of the squares shaded to the squares not
shaded? Write the answer as a fraction in simplest form.
Answer:
13:9 with 9 being unshaded
Step-by-step explanation:
i drew a similar grid, shaded them in in the way you specified, then counted the squares on either side. the i put the numbers in a fraction and simplified
write 3 equivalent rational number of 5/3
Step-by-step explanation:
[tex] \frac{10}{6} \\ \frac{15}{9} \\ \frac{20}{12} [/tex]
Perform the operation and reduce the answer fully.
3/20 - 9/16
Answer:
-33/80
Step-by-step explanation:
3/20 - 9/16
(4)(3/20) - (9/16)(5)
12/80 - 45/80
= -33/80
Cupcakes Promotion All cupcakes at $2 each !
Buy 8 and get 1 free!
How many cupcakes will Fatimah get if she paid $80 during the promotion?
Answer:
45
Step-by-step explanation:
....................
Hey there! I'm happy to help!
We see that the cupcakes are $2, but for every 8 you buy you get 1 free.
So, if we buy 8 cupcakes, we will be paying $16, but we will actually be receiving 9 donuts, so that means that for every $16 we pay, we get 9 donuts.
Let's see how many times $16 goes into $80.
80/16=5
So, this means that our $16 that gives us 9 donuts was done 5 times, which totals up to 80 dollars. Let's multiply our donuts now.
9*5=45
So, Fatimah will get 45 donuts during the promotion.
Have a wonderful day and keep on learning! :D
A square sandbox has an area of 42ft to the power of 2. What is the approximate perimeter of the sandbox to the nearest hundredth?
9. A doctor charges each patient $75 per consultation. If she works for 6 hours during one day and sees an average of six patients per hour, what was her profit that day? (Her costs per day are $200 for insurance, $200 for leasing the building and $50 for paying the reception desk).
Answer:
She makes $2,250/day
Step-by-step explanation:
$75 x 6 = $450 (amount of patients seen)
$450 x 6 = $2,700 (amount of hours she works)
$2,700 - $450 = $2,250 (the cost of the building, reception desk, & insurance)
We are given that the doctor charges $75 for each patient
In each she sees an average of 6 patients so,
Charge each hr = $75(6) = $450
For each hr she receives $450
So, for 6 hrs she receives = $450(6) = $2700
She pays for all the stuff = $200 + $200 + $50 = $450
Profit = Selling Price - Cost Price
Profit = $2700 - $450
Profit = $2250
Hence, she earns a profit of $2250 that dayfind the value of' m' if (-m 3) is the solution of equation 4x +9y -3=0
[tex]\\ \qquad\quad\sf\longmapsto 4x+9y-3=0[/tex]
[tex]\\ \qquad\quad\sf\longmapsto 4(-m)+9(3)-3=0[/tex]
[tex]\\ \qquad\quad\sf\longmapsto -4m+27-3=0[/tex]
[tex]\\ \qquad\quad\sf\longmapsto -4m+24=0[/tex]
[tex]\\ \qquad\quad\sf\longmapsto -4m=-24[/tex]
[tex]\\ \qquad\quad\sf\longmapsto m=\dfrac{-24}{-4}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto m=6[/tex]
What is the longest version of pi? Please type the whole thing.
3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938095257201065485863278865936153381827968230301952035301852968995773622599413891249721775283479131515574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012858361603563707660104710181942955596198946767837449448255379774726847104047534646208046684259069491293313677028989152104752162056966024058038150193511253382430035587640247496473263914199272604269922796782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955321165344987202755960236480665499119881834797753566369807426542527862551818417574672890977772793800081647060016145249192173217214772350141441973568548161361157352552133475741849468438523323907394143334547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383827967976681454100953883786360950680064225125205117392984896084128488626945604241965285022210661186306744278622039194945047123713786960956364371917287467764657573962413890865832645995813390478027590099465764078951269468398352595709825822620522489407726719478268482601
You are six spaces behind your
opponent in a board game. What integer represents your situation?
+ An Integer less than 0 is represented as
Answer:
9,-9
Step-by-step explanation:
Because your opponent is in the positive while you are in the negative
solve (x+1) (x-11) = -36
x = ?
can someone help pls
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
1. Approach
The most logical steps to solve the given equation are to distribute and simplify the left side of the equation. Then use inverse operations to bring all of the terms to the left side of the equation. After doing so, one can factor the equation again, then use the zero-product property to solve it.
2. Simplify
Distribute the terms on the left side, multiply everything in the first parenthesis by everything in the second,
[tex](x+1)(x-11)=-36[/tex]
[tex](x)(x)+(1)(x)+(-11)(x)+(1)(-11)=-36[/tex]
Simplify this expression by performing the multiplication and then combining like terms,
[tex](x)(x)+(1)(x)+(-11)(x)+(1)(-11)=-36[/tex]
[tex]x^2+x-11x-11=-36[/tex]
[tex]x^2-10x-11=-36[/tex]
Inverse operations,
[tex]x^2-10x-11=-36[/tex]
[tex]x^2-10x+25=0[/tex]
3. Factor and solve,
Now that has the simplified version of the equation, one should factor it. Rewrite the quadratic expression as a product of two linear expressions,
[tex]x^2-10x+25=0[/tex]
[tex](x-5)^2=0[/tex]
Use the zero product property to solve this expression. The zero product property states that any number times zero equals zero. Since ([tex](x-5)^2[/tex]) is just ([tex]x-5[/tex]) multiplied by itself, thus, when solving, one can ignore the square part of the equation:
[tex](x-5)^2=0[/tex]
[tex]x-5=0[/tex]
Inverse operations,
[tex]x-5=0[/tex]
[tex]x=5[/tex]