Answer:
30, 60, and 90
Step-by-step explanation:
Let x be the Angle 1
2x is Angle 2
3x is Angle 3
x + 2x + 3x = 180
6x = 180
x = 30 degrees
2x = 60 degrees
3x = 90 degrees
Brian, Pip and Sara share some sweets in the ratio 4:2:1. Brian gets 45 more sweets than Sara. How many sweets are there altogether?
Answer:
105 sweets
Step-by-step explanation:
4×15 = 60
2×15=30
1×15=15
60-15 =45
60+30+15=105
A married couple had a combined annual income of $58,000. The wife made $2000 more than her husband. What was each of their incomes?
Answer:
Let the income of husband be X
The income of wife will be = X+2000
Combined income of couple will be= (X+2000) + X
= 2X+2000
It is given that combined income of couple is = 58000
Therefore 2X+2000= 58000
2X = 58000-2000
2X = 56000
X= 56000/2 = 28000
Therefore Income of husband is 28,000
and Income of wife = 28000+2000= 30,000
Step-by-step explanation:
Work out the equation of
the line that goes through
(3, 2) and (-1, 10)
Answer:
[tex]The\,\,equation\,\,will\,\,be\,\,2x+y=8[/tex]
Step-by-step explanation:
Let, A=(3,2)
B=(-1,10)
So, The equation will be
[tex]\frac{x-x_{1} }{x_{1} -x_{2} } =\frac{y-y_{1} }{y_{1} -y_{2} } \\=>\frac{x-3 }{3-(-1) } =\frac{y-2 }{2-10} \\=>\frac{x-3 }{4} =\frac{y-2 }{-8}\\=>-8x+24=4y-8\\=>8x+4y=32\\=>2x+y=8[/tex]
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
Answer:
y = - 2x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 1, 10 )
m = [tex]\frac{10-2}{-1-3}[/tex] = [tex]\frac{8}{-4}[/tex] = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 2 )
2 = - 6 + c ⇒ c = 2 + 6 = 8
y = - 2x + 8 ← equation of line
Solve the attached problem please
Answer:
41910.
Step-by-step explanation:
We can calculate this by first finding the sum for k = 1 to 50 then subtracting the sum for k = 1 to 14.
We use the formula (1/6)n(n+1)(2n+1)
So for 1 to 50 its 1/6 * 50* 51 * 101 = 42925
and for 1 to 14 it comes to 1/6*14*15*29 = 1015
So the answer is 41910.
A mural's height is 2 1/4
meters. Which of the following is equivalent to 2 1/4 meters?
Answer:
you didnt give any options
What is the measure of _____?
Answer:
53°Step-by-step explanation:
Angle ABE = 90°
Angle CBE = 37° (opposite angle)
90 - 37 = 53°
Select all statements that are true about the triangles.
Figure ABCD with diagonal BC, sides AB and DC are congruent, angle A is congruent to angle D and sides AC and DB are congruent.
Group of answer choices
Triangles ABC and BCD are congruent by the Angle-Side-Angle Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Angle-Angle Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Side-Side-Side Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Side-Angle-Side Triangle Congruence Theorem.
Triangles ABC and BCD are congruent by the Side-Side-Side Triangle Congruence Theorem.
There is not enough information to determine if the triangles are congruent
Answer:
Triangle ABC and BCD are congruent by the side side side triangle congruence theorem
kevin sells beaded necklaces. Each large necklace sells for $5.70 and each small necklace sells for $4.60. How much will she earn from selling 5 large necklaces and 6 small necklace?
Answer:
$56.10
Step-by-step explanation:
The first step is to multiply the values.
28.50 for large.
27.60 for small.
Add them together.
You get 56.10.
Answer/Step-by-step explanation:
Given:
$5.70= Large necklace
$4.60 = Small necklace
To Find:
How much will Kevin earn from selling 5 large necklaces and 6 small necklace?
Solution:
To Find how much Kevin will earn from selling 5 large necklaces/6 Small necklace...
Multiply 5.70 by 5 and 4.60 by 6.
5.70 x 5 = 28.5
4.60 x 6 = 27.6
Hence, Kevin will earn $28.5 from selling 5 large necklaces and 27.6 from selling 6 small necklaces.
To Find all Kevin earn add both together = 56.10
Therefore Kevin earn $56.10 altogether.
What percentage of goldfish will have lengths between 4. 6 inches and 9. 4 inches? 34% 68% 95% 99. 7%.
Using the Empirical Rule, it is found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.
The Empirical Rule states that, for a normal variable:
Approximately 68% of the measures are within 1 standard deviation of the mean. Approximately 95% of the measures are within 2 standard deviations of the mean. Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem:
The mean is of 7 inches.The standard deviation is of 1.2 inches.4.6 = 7 - 2(1.2)
9.4 = 7 + 2(1.2)
Within 2 standard deviations of the mean, hence, 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.
A similar problem is given at https://brainly.com/question/24537145
Data will be collected on the following variables. Which variable is most likely to be approximated by a normal model?
Find the perimeter. Simplify the answer.
Answer:
21u-26
Remember to add like terms
nia saw a watch on sale for 42.50 the original price of the watch was 69.95 what is the approximate discount on the watch
Answer:
0.2745%
Step-by-step explanation:
69.95-42.50=27.45
27.45×100=27.45%
please help me solve this problem.
Answer:
a=36
Step-by-step explanation:
The given angles are corresponding
2a+3a=180
5a=180
a=180/5=36
Mr. Yueng graded his students’ math quizzes.
Students came up with four different answers when solving the equation x3 = 22.
Answer:
7.3*
Step-by-step explanation:
do the inverse:
22/3=7.3*
*=recurring
4, 3.7, 3.4, 3.1, ____, ____, ____ what are the next terms
Answer:
the next terms are 2.8 , 2.5 and 2.2
Combining like terms with neg
Combine the like terms to create an equivalent expression:
--3x – 6+ (-1)
Answer:
3x−7
Step-by-step explanation:
3x – 6+ (-1)
3x + (-7)
Reduce the fraction to lowest terms 16/24
Answer:
2/3 is the anwer.
Step-by-step explanation:
Rearrange the numbers below from least to greatest
34.039 32.94 34.198 32.102 33.6
epic
PLSSSSS HELP-
Answer:
Least ------> Greatest
32.102, 32.94, 33.6, 34.039, 34.198
Answer:
32.102, 32.94, 33.6, 34.039, 34.198
Step-by-step explanation:
34.039, 32.94, 34.198, 32.102, 33.6
Rearrange:
34.198 > 34.039
33.6 > 32.94 > 32.102
New list: 32.102, 32.94, 33.6, 34.039, 34.198
-Chetan K
27.65 rounded to the second decimal place
Answer:
To the second decimal place would be 28 because 27.65 is closer to 28 than 27. Hoped this helped.
Two ice cream machines make a total of 320 gallons in a certain amount of time. working together for the same length of time how many gallons of ice-cream can each number of machines make?
(a) 7 ice-cream machines
Answer:
7 ice cream machines can make 1,120 gallons of ice cream
Step-by-step explanation:
Divide 320 by 2
multiply 160 by 7
you should get 1,120
7 ice-cream machines makes 1120 gallons of ice-cream.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, two ice cream machines make a total of 320 gallons in a certain amount of time.
Here, quantity of ice cream made by 1 machine =320/2
= 160 gallons
Now, 7 ice-cream machines makes
160×7= 1120 gallons
Therefore, 7 ice-cream machines makes 1120 gallons of ice-cream.
To learn more about the unitary method visit:
brainly.com/question/22056199.
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Factor the polynomial 49n^2+168n+144
Answer:
(7n+12)^2 or (7n+12)(7n+12)
Step-by-step explanation:
Answer:
(7n+12)^2 or (7n+12) (7n+12)
Step-by-step explanation:
Both answers are the same thing it's just shortened with the first equation.
AWNSER ASAP PLEASE!!!!!!!!!!!!!! WORTH 20 POINTS.
Find the solution of this system of equations -2x + 8y = 14 -2x - 2y = -26
Answer:
Answer x = 9 y = 4
-2x + 8y = 14
-2x - 2y = -26
0 + 10y = 40
y = 4
-2x + 8(4) = 14
-2x = 14 - 32 = -18
x = 9
3 shirts for 9.99 2 pairs of shorts for 14.95 a bathing suit for 24.50 the sales tax was 7% how much did she spend in all ?
Answer:
If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:
the bus to Leeds departs every 36 mins and the bus to Manchester leaves every 45 mins they leave the station at 10am one morning what is the next time they will leave at the same time
Answer:
1 pm
Step-by-step explanation:
We have to find their LCM, or least common multiple
Multiples of 36: 36, 72, 108, 144, 180, 216, ......
Multiples of 45: 45, 90, 135, 180, ....
180 mins is their LCM.
180 mins = 3 hours
10am + 3hours = 1 pm
-Chetan K
-1.2= y/2.4 -1.7
Solve for y
[tex]{\huge{\boxed{\sf{Question}}[/tex]
[tex]-1.2= y\div2.4 -1.7[/tex]
Solve for y
[tex]{\huge{\boxed{\sf{Answer\:with\:explanation }}}[/tex]
let's put our equation first
[tex]-1.2= y\div2.4 -1.7[/tex]
Flip the equation
[tex]y\div2.4-1.7=-1.2[/tex]
Now follow the rule of [tex]BOMDAS/PEMDAS[/tex]
[tex]{\huge{\boxed{\sf{BOMDAS }}}[/tex]
BracketsOf multiplicationDivisionAdditionSubtraction[tex]{\huge{\boxed{\sf{PEMDAS}}}[/tex]
ParenthesisExponentsMultiplicationDivisionAdditionSubtraction_________________________
[tex]{\huge{\boxed{\sf{Solve\:the\:equation}}}[/tex]
_________________________
[tex]y\div2.4-1.7=-1.2[/tex]
[tex]{\underline{simplify}}[/tex]
[tex]0.416667y-1.7=-1.2[/tex]
add [tex]1.7[/tex] to both sides
[tex]0.416667y=0.5[/tex]
Divide both sides by [tex]0.416667[/tex]
[tex]y=1.2[/tex]
[tex]{\huge{\boxed{\sf{Answer}}}[/tex]
[tex]y[/tex] would equal [tex]1.2[/tex]
equation of the line that passes through the point (4,–5) and is perpendicular to the line y=1/3x+5
Answer:
y=1/3x+5 hope it helps you
A queen-sized mattress is 20 inches longer than it is wide. A king-sized mattress is
16 inches wider that the queen-sized mattress but has the same length. The area
of the king sided mattress is 1,280 square inches more than that of the
queen-sized mattress. Determine the dimensions (length and width) of both the
king-sized and queen sized mattresses.
Answer:
queen's width = 60 in
queen's length = 80 in
king's width = 76 in
king's length = 80 in
Step-by-step explanation:
-queen's wide = ???
-same length = queen's wide + 20
king size:
-king's wide = queen's wide + 16
-same length = queen's wide + 20
queen's area = x
king's area = x + 1280
area = width * length
let's call queen's width and king's width "qw" and "kw" respectively
let's call queen's length and king's length "ql" and "kl" respectively
Q area:
qw * (qw + 20)
qw² + 20qw = x
K area:
(qw + 16) * (qw + 20) = x + 1280
qw² + 36qw + 320 = qw² + 20qw + 1280
qw² - qw² + 36qw - 20qw = 1280 - 320
16qw = 960
qw = 960 / 16
qw = 60
ql = 60 + 20
ql = 80
kw = 60 + 16
kw = 76
kl = ql
kl = 80
Can someone answer this question real quick please?
Answer:
open circle btw
Step-by-step explanation:
step 1: go to the right where the 3 is
step 2: go to the little dash the 1st one on the right of the 3
step 3: circle the dash and make an arrow going to the right
What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?
y = One-fifthx + 4
y = One-fifthx + Twelve-fifths
y = –5x + 4
y = –5x + Twelve-fifths
Answer:
y = 1/5x + 12/5
Step-by-step explanation:
First find the slope of the given line
m = ( y2-y1)/(x2-x1)
m =( -3- -4)/(0- -5)
(-3+4) /(0+5)
1/5
Parallel lines have the same slope
Using point slope form of a line
y-y1 = m(x-x1)
y - 2 = 1/5(x--2)
y -2 = 1/5(x+2)
Distribute
y-2 = 1/5x +2/5
Add 2 to each side
y-2+2 = 1/5x + 2/5 + 2
y = 1/5x + 2/5 + 10/5
y = 1/5x + 12/5
Answer:
B. y = 1/5x + 12/5
GEOMETRY QUESTION W PICTURE
Answer:
R
Step-by-step explanation:
E is congruent to R because of angle stuff