Answer:
110 - 2x
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 50 + 5x - 40 + 110 - 2x = 180, that is
4x + 120 = 180 ( subtract 120 from both sides )
4x = 60 ( divide both sides by 4 )
x = 15
Thus
x + 50 = 15 + 50 = 65°
5x - 40 = 5(15) - 40 = 75 - 40 = 35°
110 - 2x = 110 - 2(15) = 110 - 30 = 80°
The largest angle is (110 - 2x)° = 80°
Which algebraic expression represents this mathematical statement?
75 less than a number
O A. 75-n
O B. n-75
O C. n: 75
O D. n+ 75
Answer:
B
Step-by-step explanation:
Subtraction mean how much less than a number
Someone please help ASAP
Answer:
5050
Step-by-step explanation:
To solve via calculator, go to the MATH menu, then the 0th option should say "summation" and insert it from there.
To solve algebraically, break the summation into 2 parts. Excuse the strange formatting, I can't find a way to do it normally.
4([tex]\frac{50}{1}[/tex]∑n) -
= 4( [tex]\frac{50(50+1)}{2}[/tex]) - 50(1)
= 5100 - 50
= 5050
Which expressions are equivalent to select three option. HURRY PLZ
Answer:
[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y^{2} } * \sqrt{y} [/tex]
[tex] 2*2*y\sqrt{2*5*7*y} [/tex]
[tex] 4y\sqrt{70y} [/tex]
Step-by-step Explanation:
To find the expressions that are equivalent to
[tex] \sqrt{1,120y^{3} } [/tex]
let's simplify each of the options given to know if we would arrive at
[tex] \sqrt{1,120y^{3} } [/tex]
Option 1:
[tex] \sqrt{2*2*2*2*5*7*y*y} [/tex]
[tex] \sqrt{(2*2*2)*(2*5)*(7)*(y*y)} [/tex]
[tex] \sqrt{8*10*7*y^{2} } [/tex]
[tex] \sqrt{560y^{2} } [/tex]
Not equivalent to the given expression.
Option 2:
[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{5^{2} } * \sqrt{7^{2} } * \sqrt{y^{2} } * \sqrt{y^{2} } [/tex]
[tex] 2 * 2 * 2 * 5 * 7 * y * y [/tex]
[tex] 8*5*7*y*y [/tex]
[tex] 280y^{2} [/tex]
Not equivalent to the given expression.
Option 3:
[tex] \sqrt{2^{2} } * \sqrt{2^{2} } * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y^{2} } * \sqrt{y} [/tex]
[tex] 2 * 2 * \sqrt{2} * \sqrt{5} * \sqrt{7} * y * \sqrt{y} [/tex]
[tex] 2 * 2 * y * \sqrt{2} * \sqrt{5} * \sqrt{7} * \sqrt{y} [/tex]
[tex] 4y * \sqrt{2 * 5 * 7 * y} [/tex]
[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]
[tex] \sqrt{16 * y^{2} * 70 * y } [/tex]
[tex] \sqrt{16 * 70 * y^{2} * y } [/tex]
[tex] \sqrt{1,120y^{3} } [/tex]
This option is equivalent.
Option 4:
[tex] 2*2*y\sqrt{2*5*7*y} [/tex]
[tex] 4y\sqrt{70y} [/tex]
[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]
[tex] \sqrt{16 * y^{2} * 70 * y } [/tex]
[tex] \sqrt{1,120y^{3} } [/tex]
This option is equivalent to the given expression.
Option 5:
[tex] 4y\sqrt{70y} [/tex]
[tex] \sqrt{16y^{2} } * \sqrt{70y} [/tex]
[tex] \sqrt{16y^{2} * 70 * y} [/tex]
[tex] \sqrt{16 * 70 * y^{2} * y} [/tex]
[tex] \sqrt{1,120y^{3} } [/tex]
Equivalent!
Options 3, 4 and 5 are the 3 expressions equivalent to
[tex] \sqrt{1,120y^{3} } [/tex]
Answer:C D E
Step-by-step explanation:
Just did the test
Which statement is true about quadrilateral QRST? Side QR has a length of 5 units. Side RS has a length of units. Side ST has a length of 6 units. Side TQ has a length of units.
Answer: side TQ 17 units
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
what is the constant of proportionality for y=5/8x
Answer: 5/8
Step-by-step explanation:
Answer:
k = [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
The standard form of an equation representing proportion is
y = kx ← k is the constant of proportionality
y = [tex]\frac{5}{8}[/tex] x ← is in this form
with k = [tex]\frac{5}{8}[/tex]
How many square roots is the area ?
Have a great wonderful fantastic amazingggg dayyyy!!!
Answer: 176m^2
Step-by-step explanation:
The smaller rectangle is taking up space among the larger one. So in order to find the area of this shaded region, you need to subtract that smaller one from the larger one.
12 x 15 = 180
1 x 4 = 4
180 - 4 = 176m^2
Answer:
44
Step-by-step explanation:
To start you have to calculate the perimeter of the white box. 1 times 2 is 2. 4 times two is 8. 8 plus 2 is 10. Then you have to find the perimeter of the purple box. 12 times 2 is 24. 15 times 2 is 30. 24 plus 30 is 54. After that you have to subtract to get the final answer. 54 minus 10 in 44. 44 is the final answer.
How many cubes eith side lengths of 1/4 cm does it take to fill the prism? Please help
Step-by-step explanation:
In order to find Volume for a rectangle use the formula: L * W * H
2 1/4 * 3/4 * 1 1/4 = 2 7/64
A cube with the side lengths of 1/4: 1/4 * 1/4 * 1/4 = 1/64
Divide 1/64, by the prisms volume, 2 7/64 to get 135.
I'm not sure if this is right, but I hope that helps! :)
A bag has the following 10 colored stones in it. There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. What is the probability of a green stone?
Answer:
30%
Step-by-step explanation:
Think of the 10 as 100%. 2 as 20% and so on. The green makes up 30%.
Pamela and her friend Nicole are each baking apple pies and tarts for a bake sale, using the same recipes. Pamela baked 5 apple pies and 7 apple tarts, using a total of 68 apples. Nicole made 5 apple pies and 9 apple tarts, which used 76 apples. How many apples does each dessert require?
Answer:
Each apple pie requires 8 apples, and each apple tart requires 4 apples.
Step-by-step explanation:
We see that both Pamela and Nicole bake the same amount of apple pies, but different amounts of apple tarts. Because of this, we can subtract the two to try to figure out the amount of apples for each apple tart. We subtract 68 from 76, giving us 8. Nicole baked 9 apple tarts, while Pamela baked 7, and 9-7=2. So we can bake two apple tarts with 8 apples, so one apple tart requires 4 apples (we divide by 2). Now that we know the amount of apples per each apple tart, we multiply 7 apple tarts that Pamela made by 4 apples, giving us 28. We subtract that from the total amount of apples Pamela used, which was 68, giving us 40. From this we can deduct that 5 apple pies need 40 apples, and we divide by 5, giving us 1 apple pie requires 8 apples.
Which function is graphed on the right?
There is no picture ; - ;
Answer:
its C
Step-by-step explanation:
(05.09A LC)
A pair of parallel lines is cut by a transversal, as shown below:
A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is labeled as x. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as y.
Which of the following best represents the relationship between angles x and y?
A) x = y
B) x = 180°-y
C) y = 180°-6
D) x = 2y
Answer:
A
Step-by-step explanation:
Because these angles are alternate interior angles and because alternate interior angles of parallel lines are equal, x = y.
I will give you brainliest!!!! Add the equations.
Answer:
7x = 9
Step-by-step explanation:
3x -2y = 15
4x+2y = -6
---------------------
7x + 0y = 9
7x = 9
What is the equation of the translated function, g(x), if
f(x) = x??
Answer:
There is not enough information to solve. We need some more information to solve this question. The best we can do is
g(x) = g(f(x))
Someone please help me! I need this done ASAP
Answer: ill try to do #3 for you
A. money= dependent (depends on days)
days= independent
B. im guessing its this: m=250d
C. $250x 10 days= $2,500 he will need to save
also #4 is y-2x-2
if this is all correct could u mark my answer brainliest if you want to thanks!
The cost of a service call to fix a washing machine can be expressed by the linear function Y = 45x+35, where y represents th
total cost and x represents the number of hours it takes to fix the machine. What does the y-intercept represent?
Answer: brainliesss plsss
The cost of a service call to fix a washing machine can be expressed
Step-by-step explanation:
The cost of a service call to fix a washing machine can be expressed by the linear function y=45x+35 where y represents the total cost and x represents the number of hours it takes to fix the machine.
Answer:
whats the real answer?
Step-by-step explanation:
I WILL MARK YOU BRAINLIEST!!!!! What is the slope of the linear parent function?
Answer:
Step-by-step explanation:
The slope would be determined either by a graph or a equation
you didn't put it in the picture...
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
25
Step-by-step explanation:
So find the number that is a perfect square and 2 times the square root = 10
The number is 25.
Check:
[tex](x+5)^2=x^2+10x+25[/tex]
Answer:
The answer is 25.
Step-by-step explanation:
25 is a perfect square of 5. When x are added together, they form 10x.
[tex] {(x + 5)}^{2} [/tex]
[tex] {x}^{2} + 2(x)(5) + {5}^{2} [/tex]
[tex] {x}^{2} + 10x + 25[/tex]
identify the expression as a numerical expression or a variable expression.For variable expression, name the variable 1×12
Answer:
o7 fy hk hpxi oyli ifuod pir8
slove for g : 9+3.5g=11-0.5g
Answer:
g= 1/2
Step-by-step explanation:
9+3.5g=11-0.5g
Add .5 g to each side
9+3.5g+.5g=11-0.5g+.5g
9+4g = 11
Subtract 9 from each side
9+4g-9 = 11-9
4g = 2
Divide by 4
4g/4 = 2/4
g= 1/2
Find Sn for the given arithmetic series.
Q1 = -40, d =-7, n=22
Answer:
[tex]S_n =[/tex] -2497
Step-by-step explanation:
We are given an arithmetic series with the following terms:
First term, [tex]Q_1[/tex] = -40
Common difference, d = -7
Number of terms, n = 22
To find out: Sum of n terms, where n is 22
We know that Sum of n terms in an arithmetic series is given as:
[tex]S_n =\dfrac{n}{2} (2Q_1+(n-1)d)[/tex]
Putting the values in the formula:
[tex]S_{22} = \dfrac{22}{2} (2 \times -40+(22-1)\times (-7))\\\Rightarrow S_{22} = 11 \times (-80-147)\\\Rightarrow S_{22} = 11 \times (-227)\\\Rightarrow S_{22} = -2497[/tex]
So, the sum of 22 terms is -2497.
PLS HELP ME WITH THIS
Answer:
so the answer is the second one. Hope this working helps
What is the value of x?
20
35
60
70
HURRY PLEASE!!!!
Answer: 20
Step-by-step explanation:
Since these are vertical angles, they are equal to each other.
x+40=3x
40=2x
x=20
A car costs £15000. Work out the price after a 13% discount.
Answer:
13, 050
Step-by-step explanation:
15,000 by 13% = 1,950
15,000-1,950= 13, 050
I need help with this question please
Answer:
The exact length of the third side would be 9.
Step-by-step explanation:
To find the length of the triangle, just add the height (6) and the base (3) which equals 9.
Find the value of x
Answer:
The answer is 9
Step-by-step explanation:
56+(3x+7)=90 (In the picture it shows a 90 degree angle.)
Then, you can start solving the equation.
90-56=34
3x+7=34 (Subtract by 7)
3x=27 (Divide by 3 on both sides)
x=9
What is the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings? Round to the nearest whole percent. 65% 70% 75% 80%
Answer:
the experimental probability is 70%
Step-by-step explanation:
PLEASE HELP, TIMEDThe table shows the results of a survey in which 10th-grade students were asked how many siblings (brothers and/or sisters) they have.
What is the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings?
To the nearest whole percent, the experimental probability is
a. 65%.
b. 70%
c. 75%
d. 80%
We are given to find
the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings
we know that
probability = ( number of favourable outcomes)/ ( total possible outcomes)
a 10th-grade student chosen at random has at least one, but no more than two, siblings
so, there can be one or two siblings
so, total number of such students =18+10=28
Number of favourable outcomes =28
total number of students =4+18+10+8=40
so, total favourable outcomes =40
now, we can find probability
[tex]p=\frac{28}{40}\\\\p=\frac{28}{40}\times 100\\\\p=70[/tex]
So,
Therefore, the experimental probability is 70%
Answer:
answer is B
or 70%
PLEASE HELP WILL MARK BRAINLIEST
Answer:
Each pendant = 3.60
Step-by-step explanation:
3 necklaces made of beads and pendants
The total is 20.10
20.10 = 3( beads + pendant)
Distribute
20.10 = 3 beads + 3 pendant
The total for the beads is 9.30
Replace the 3 beads with 9.30
20.10 = 9.30+ 3 pendant
Subtract 9.30 from each side
20.10-9.30 = 9.30+ 3 pendant - 9.30
10.80 = 3 pendant
Divide each side by 3
10.80/3 = 3 pendant/3
3.60 = pendant
Does anyone know the answer ?
Answer:
Using Piragorean Theorem:
[tex]x=\sqrt{7^2+10^2}=\sqrt{100+49}=\sqrt{149}[/tex]
Answer:
[tex]\sqrt{149[/tex]
Step-by-step explanation:
7² + 10² = 12.21²
49 + 100 = 149
On a particular day in July, there is a 20% probability of rain in Vancouver, a 65% probability of rain in Calgary, and a 75% probability of rain in Saskatoon. What is the probability that it will rain in all 3 cities on that day?
Answer:
The probability that it will rain in all 3 cities on that day
P(V∪ C∪S) = 0.93 = 93%
Step-by-step explanation:
Let 'V' be the event of rain in Vancouver
Given that the probability of rain in Vancouver
P( V) = 20% = 0.20
P( V⁻) = 1- P( V) = 1 - 0.20 =0.80
Let 'C' be the event of rain in Calgary
Given that the probability of rain in Calgary
P( C) = 65% = 0.65
P( C⁻) = 1- P( C) = 1 - 0.65 =0.35
Let 'S' be the event of rain in Saskatoon
Given that the probability of rain in Saskatoon
P( S) = 75% = 0.75
P( S⁻) = 1- P( S) = 1 - 0.75 =0.25
First we will prove that the probability that it will not rain in all 3 cities on that day
P( V⁻ ∩ C⁻ ∩ S⁻ ) = P( V⁻) P( C⁻) P(S⁻)
= 0.80 × 0.35 × 0.25
= 0.07
The probability that it will rain in all 3 cities on that day
P(V∪ C∪S) = 1-(P( V⁻ ∩ C⁻ ∩ S⁻ )
= 1 - 0.07
= 0.93