Answer:
total amount of sweets=230
Step-by-step explanation:
ratio=8:5:10
total ratio=8+5+10
=23
Adrian=x
Charlie= x+20
Ben=1/2×(x+20)
Charlie's share
10/23×(x+20+x+(1/2×x+20))=x+20
10/23×(x+20+x+(x+20/2))=x+20
10/23×(x+20+x+x+20/2)=x+20
10/23×(2(x+20)+(2×x)+(x+20/2)/2=x+20
10/23×(2x+40+2x+x+20)/2=x+20
10/23×(2x+2x+x+40+20)/2=x+20
10/23×(5x+60)/2=x+20
50x+600/46=x+20
50x+600=46(x+20)
50x+600=46x+920
50x-46x=920-600
4x=320
4x/4=320/4
x=80
Total amount of sweet
x+x+20+1/2(x+20)
80+80+20+1/2(80+20)
180+1/2(100)
180+50
230
Please help me out this is hard .
Answer:
24.6
Step-by-step explanation:
take 72 degree as reference angle
using tan rule
tan 72 = opposite / adjacent
3.07 = x/8
3.07 * 8 = x
24.56 = x
24.6 = x
What is the DMS measure of an angle that is 3.7 radians?
A. 11° 37' 26"
B. 0° 3' 52.5"
c. 211° 59' 39.6"
D. 3° 42' 0"
The baker at The Bake Shop makes 24 muffins in 1 hour. How many muffins will the baker make in 5 hours?
97 muffins
100 muffins
101 muffins
120 muffins
Please show me 3+2 (2x - 4) and can you please show the work?
Answer:
4x -5
Step-by-step explanation:
3+2 (2x - 4)
Distribute
3 + 2*2x - 2*4
3+4x - 8
Combine like terms
4x +3-8
4x -5
Answer:
4x - 5
Step-by-step explanation:
3+ 2 (2x) + 2 (-4)
3+4x - 8
Pls give an actuel answer to this question. Thx :). WIll give brainest.
Answer:
47
Step-by-step explanation:
47
4 is 3 less than 7 so fits the requirement for the first part
47 reversed = 74
47 + 74 = 121
Answer:
47
So the number in the unit digit is x since it is unknown.
the number in the tens digit is 3 less than x which can be expressed as x-3.
we have to multiply x-3 by 10 since x-3 is supposed to represent the digit in the tens place. so we have 10(x-3)+x (we are adding x because in any number we always add the tens digit by the ones, for example, 13, 10 + 3)
the reverse number would instead be x in the tens place and (x-3) in the ones place so the equation would be 10x+(x-3)
10(x-3)+x + 10x+(x-3) is equal to 121.
distribute 10(x-3), 10x-30
10x - 30 + x +`10x+x-3
Add like terms, 10x+x and -30-3
11x-33+11x
11x+11x = 22x
so we have 22x-33=121
add 33 to both sides to isolate 22x
121+33= 154
22x=154, divide both sides by 22
154/22 = 7
x=7 but this is only the ones digit.
10(x-3)+x is the equation, so replace x with 7
10(7-3)+7
7-3 = 4 and 4*10 = 40
40 + 7 = 47
original number is 47
what are 2 consecutive odd integers whose sum is 36.
Two consecutive odd integers with a sum of 36 are 17 and 19.
Hope it helps you I'm from ph❤️
Answer:
Two consecutive odd integers with a sum of 36 are 17 and 19.
Step-by-step explanation:
hope i helped
Type the correct answer in the box.
Use numerals instead of words. If necessary, use / for the fraction bar.
AB is parallel to CD, and EF is perpendicular to AB.
(AB,CD,EF and AB all have straight lines over them but my keyboard can't do that)
The number of 90° angles formed by the intersections of and the two parallel lines and is ___
.
Answer:
either 0 or 8, see the step by step for rationale pending the actual question
Step-by-step explanation:
two parallel lines will never intersect.
if it is mean to find the number of 90 degree angles of the two parallel lines and the perpendicular lines, the answer would be 8.
if two lines are perpendicular think of a + sign. there are four angles to make 360 degree so each must be 90 (and the definition of perpendicular).
since there are two parallel lines that intersection happens twice. so 8
In parallelogram LMNP if PQ=21 find QM.
Answer:
QM = 21
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
QM = PQ = 21
What is the volume, in cubic feet, of a rectangular prism with a height of 2 feet, a
width of 10 feet, and a length of 17 feet?
Answer: 340
Step-by-step explanation: It would follow the basic volume formula w*l*h so filling in the values gets us (10)*(17)*(2) and multiplying them out gets us 340.
As an estimation we are told £3 is €4.
Convert €28 to pounds.
Hope this helps
Answer:
£21
€28 = £21
Don't forget! If you multiply or divide by a negative number, you must
flip the inequality symbol!
I need help with these 2 and ignite the 5 and 6 it’s the question number
Answer:
c > 20
make a number line that starts with the number 16 and ends with 22.
on the number 20 circle it (don't fill in the circle).
then draw an arrow to the right on top of the circle that you circled.
Step-by-step explanation:
What is the value of x in the equation 5x−6=−36?
Answer:
5x−6=−36
5x=-30
X=-6
5*(-6)-6=-36
-30-6=-36
-36=-36
Your Welcome
BIFFY OUT!!!
Answer:
x=(-6)
Step-by-step explanation:
So first do the inverse operation.
5x-6=(-36)=5x+(-6)=-36
Subtract the constant
-36-(-6)=-36+6=-30
5x=(-30)
x=-6
solve for x, show work please!! 20 points.
Step-by-step explanation:
Here,
13x - 5 = 11x + 15. [Since corresponding angles are similar in parallel lines]
=> 13x - 11x = 15 + 5
=> 2x = 20
[tex] = > x = \frac{20}{2} [/tex]
=> x = 10 (Ans)
On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2).
Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?
line AB
line CD
line FG
line HJ
Answer:
fg
ur welcome and im out
Step-by-step explanation:
Help now now the other 2 are Wednesday and Thursday
I WILL VOTE BRAINLIEST, HELP PLS
Eliminate the x in the following system of equations. What is the result when you add the two equations?
Answer: -7y = 21
explanation:
x+y=2;3x−4y=27
Step: Solve x+y=2 for x:
x+y+−y=2+−y (Add -y to both sides)
x=−y+2
Step: Substitute −y+2 for x in 3x−4y=27:
3x−4y=27
3(−y+2)−4y=27
−7y+6=27 (Simplify both sides of the equation)
−7y+6+−6=27+−6 (Add -6 to both sides)
−7y=21 (answer)
first option
manipulate line 1 to
x = 2 - y
then substitute x in line to for the righthand side above
then solve towards y.
what is 2+a, when a is 17?
Answer:
19
Step-by-step explanation:
If a=17, then:
2 + 17 = 19
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
The circle below has center H. suppose mIJ=84. What is mIGL
Answer:
m∠IGJ = 42°
Step-by-step explanation:
It's given in the question,
m(arc IJ) = 84°
And we have to get the measure of ∠IGJ.
By using the property of inscribed angle and the intercepted arc.
"Measure of an inscribed angle is half of the measure of intercepted arc"
m(arc IJ) = 2(m∠IGJ)
84° = 2(m∠IGJ)
m∠IGJ = 42°
Over what interval is the function in this graph constant?
Answer:
[tex]\text{A. }1\leq x \leq6[/tex]
Step-by-step explanation:
A constant intervals occurs when the function is neither increasing or decreasing. In the graph, we see this occurs from [tex]x=1[/tex] to [tex]x=6[/tex]. Therefore, the interval in which the graph is constant is [tex]\boxed{\text{A. }1\leq x \leq6}[/tex]
Select all the numbers that are irrational.
9514 1404 393
Answer:
π, √3, 3√2
Step-by-step explanation:
A number is irrational if it is not a decimal number of finite length or a repeating decimal number.
The irrational numbers in the group are shown below.
can someone help me with this question
Answer:
What does the question mean can u explain me after that I will help u out in question
how many ways can Aileen choose 2 pizza toppings from a menu of 19 toppings if each topping can only be chosen one
Answer:
There are 342 different combinations.
Step-by-step explanation:
Ok, Aileen is choosing toppings for a pizza.
She can choose two.
There are 19 options that can be chosen once.
The first thing we need to do, is find all the "selections".
Here we have two selections:
Topping number 1
Topping number 2.
Now we need to find the number of options for each one of these selections:
Topping number 1: Here we have 19 options.
Topping number 2: Here we have 18 options (because one was already taken in the previous selection)
The total number of combinations is equal to the product between the numbers of options.
C = 19*18 = 342
There are 342 different combinations.
Suppose that every day from Monday through Friday,
you keep the following routine:
You walk directly to school in the moming. On this walk,
you take 1500 steps.
You play at recess.
You play a sport.
You walk directly home from school.
You think you take about as many steps at recess as you
do playing your sport
Your
FitBit says that you have taken a total of 38.000 steps
during the week.
How many steps do you take every day at recess?
Answer: You take around 4,500 steps a day
Step-by-step explanation:
Please show the steps. and the answer
Answer:
$321562.50
Step-by-step explanation:
Exponential growth can be modeled by the formula [tex]y = a(1+r)^{x}[/tex] , with y representing the final value, a being the starting value, r being the growth rate, and x being the number of time intervals passed.
To figure out the rate, we must use the values given from the months we have data of. Our starting value is 60,000 , ending value is 105,000 , and given that monthly sales are given, we can assume that sales grew exponentially each month. There were 4 years, or 48 months, that the store had to grow. Our formula is thus
[tex]105000 = 60000(1+r)^{48}\\[/tex]
To solve for r, we can first divide both sides by 60,000 , then put each side to the power of 1/48, resulting in
[tex]105000/60000 = (1+r)^{48}\\1.75 = (1+r)^{48}\\\\1.75^{1/48} = 1+r[/tex]
Since we know our rate, and there are 8 years/96 months between January 2005 and January 2013, we can make our starting value 105,000 , plug (1.75)^(1/48) for r and 96 for x in [tex]y = a(1+r)^{x}[/tex], and go from there.
Our final value is then
[tex]y = 105000(1.75^{1/48})^{96}\\y = 105000(1.75^{2})\\y = 321562.5[/tex]. We were able to turn 1.75^(1/48)^(96) into 1.75² using the exponent rule stating that x^y^z = x^(y*z)
(12 POINTS)If you can’t help out it would mean so much ty!!!
PLEASE HELP I’LL GIVE BRAINLIEST
What is the slope of the line shown below?
10+
(-6, 3) 5+
(12,6)
15
-10-
o A. - 1
O B. 6
O C.-6
OD
Answer:
B
Step-by-step explanation:
B
Answer:
the most likely answer is D 1/6
Step-by-step explanation:
Im not 100% sure
but hope this help if so can you mark me brainiest
thank you
what is (x+2)(x-2) equal ?
Answer:
x^2 - 4
Step-by-step explanation:
since it is in the form of
a^2 - b^2 = (a + b)(a - b)
u can directly write x^2 - 2^2
=x^2 - 4
process :
(x + 2)(x - 2)
=x(x - 2) + 2(x - 2)
=x^2 - 2x + 2x - 4
=-2x and plus 2x gets cancel
=x^2 - 4
simplify and expand the equation below
7(2-x)-(x-3)
Answer:
- 8x + 17
Step-by-step explanation:
7(2 - x) - (x - 3)
14 - 7x - x + 3
- 8x + 14 + 3
- 8x + 17
Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles on the race track. The first hurdle is 12 meters from the start line and the last hurdle is 15.5 meters from the finish line. Estimate how far the hurdles are from one another. Do not include units (meters) in your answer. Round your answer to the nearest whole meter. plzzzzzzzzzzzzzzz help
Answer:
7.5 metres
Step-by-step explanation:
According to the Question,
Given,Andre is running in an 80-meter hurdle race. There are 8 equally-spaced hurdles on the race track. The first hurdle is 12 meters from the start line and the last hurdle is 15.5 meters from the finish line.Thus, the distance from the first hurdle to eighth hurdles is 80-(12+15.5) = 52.5m
Now, we have 8 Hurdle but the distance between each hurdle is equally divided in 7 parts . (Please find the diagram in Attachment)
So, 52.5 /7 ⇔ 7.5m far the hurdles are from one another.
a trader sold an article at 10% profit if he had sold it at 10% loss,it would yield RS 140 less than the previous selling price.find the cost price of the article.
Answer:
CP = ₹ 700
Step-by-step explanation:
Let the cost price be 'x'
SP = [tex](\frac{100+Profit}{100})*CP[/tex]
[tex]= \frac{100+10}{100}*x\\\\=\frac{110}{100}*x\\\\= \frac{11}{10}x[/tex]
If it had been sold are 10% loss, then
SP = [tex](\frac{100-loss}{100})*CP[/tex]
[tex]=\frac{100-10}{100}*x\\\\=\frac{90}{100}*x\\\\=\frac{9}{10}x[/tex]
Difference in both the selling price = 140
[tex]\frac{11}{10}x-\frac{9}{10}x=140\\\\\\\frac{2}{10}x=140\\\\\frac{1}{5}x=140\\\\ x = 140*5\\x = 700[/tex]
