Answer: (4, 3)
Step-by-step explanation:
Let's use substitution.
So for y in the first equation we will substitute the expression for y in the second.
2x - 3(x-1) = -1
2x -3x + 3 = -1
-1x + 3 = -1
-3 -3
-1x = -4
-1x / -1 = -4 / -1
x = 4
Now plug in x for the second equation
y = 4 - 1
y = 3
Now check it using the first equation:
2(4) - 3(3) = -1
8 - 9 = -1
-1 = -1
It's true so it's correct
triangle PQR is similar to triangle XYZ if PQ = n + 2, QR = n - 2 and XY=n^2 - 4, what is the value of YZ, in terms of n?
Answer:
(n-2)²
Step-by-step explanation:
If triangle PQR is similar to triangle XYZ, then;
PQ/QR =XY/YZ
Given
PQ = n + 2,
QR = n - 2 and
XY=n^2 - 4,
Substitute
n+2/n-2 = n²-4/YZ
n+2/n-2 = (n+2)(n-2)/YZ
1/n-2 = n-2/YZ
Cross multiply
YZ = (n-2)(n-2)
YZ = (n-2)²
Hence the value of YZ in terms of n is (n-2)²
find the length of x
help please i need it ssap
Answer:
x = 5.5
Step-by-step explanation:
5+6 = 11
[tex]\frac{2.5}{x}[/tex]=[tex]\frac{5}{11}[/tex]
cross multiply
5x = 27.5
x = 5.5
HELP ME PLEASE!!! No links
Answer:
H 60
Step-by-step explanation:
You would need to find out what you would multiply times 0.5 to get 30. Then to get that answer just divide 30 by 0.5. which is 60
Meiling needed $5.35 to buy a ticket to a show. In her wallet, she found 2 dollar bills, 11 dimes, and 5 pennies. How much more money does Meiling need to buy the ticket?
Answer:
no she needs $2.20 more
Step-by-step explanation:
2+ 1.10+.05= $3.15
$5.35 - $3.15 = the answer
Find the measures of the numbered angles in the isosceles trapezoid.
m<1=
9514 1404 393
Answer:
49°131°131°Step-by-step explanation:
The base angles are congruent in an isosceles trapezoid.
∠1 = 49°
Same-side angles are supplementary in any trapezoid.
∠2 = ∠3 = 180° -49°
∠2 = ∠3 = 131°
please please i need help i will mark u brill
Answer:
Step-by-step explanation:
25 - (9 - y) = 20.7
Putting value of y = 4.3 in equation
25 - (9 - 4.3) = 20.7
25 - 4.7 = 20.7
20.3 = 20.7
Bringing like terms on one side
20.7 - 20.3 = 0.4
Answer; in this question we should have to put the value of y=4.3 and then we will get the answer.
Step-by-step explanation:
25-(9-y)=20.7
25-(9-4.3)=20.7
25-(4.7)=20.7
20.3=20.7
Bring the term on one side
20.7-20.3=0.4 Answer
Can anyone double check this to make sure I’m correct?
Answer:
looks like it's right!
Step-by-step explanation:
Answer:
I got 33.82
Step-by-step explanation:
A gym charges $25 per month plus extra four dollars to swim in a pool for an hour if a member only has $45 to spend each month at most how many hours can’t remember swim
Answer:
5 hours
Step-by-step explanation:
So the set fee is 25. 45-25 = 20. Now, 4 dollars an hour. 20/4 = 5, so 5 hours
find x
help please asap
Answer:
i think it is 51 degrees
Step-by-step explanation:
the length of a rectangle is five inches less than three times its width . if the perimeter of the rectangle is 150 inches , find the dimensions.
Step-by-step explanation:
let x be the width of the rectangle.
given
length =
[tex]3x - 5[/tex]
inches.
also given Length + Width = 150 inches,
[tex]3x - 5 + x = 150 \\ 4x - 5 = 150 \\ 4x = 150 + 5 \\ 4x = 155 \\ x = 155 \div 4 \\ = 38.75in[/tex]
Since
Length = 3x-5 in
Width = x in,
Length = 3(38.75) - 5 = 111.25 in
Width = 38.75 in
When y=x^2 is transformed to y=(x+1)^2-3 , the corresponding graph is shifted a) 1unit left and 3 units down. c) 1 unit left and 3 units up. b) 1 unit right and 3 units down. d) 1 unit right and 3 units up.
Find the area of the parallelogram
Answer:
513
Step-by-step explanation:
B×L=Area
Base=24
Length =19
24×19=513
Nara buys 20 ounces of dried cherries in bulk. If dried
cherries cost $0.55 per ounce, how much will she pay?
Answer:
11 dollars, is you multiply .55 by 20 its 11
Mrs. Smith is shopping for a toy chest to go
in her kids' playroom. She looks at the options
shown.
How much floor space will toy chest A take up?
Answer: 20ft
Step-by-step explanation:
floor space is only worried about the area of the base, so A would be 4*5 or 20
Answer:
20
Step-by-step explanation:
A store sells shirts.
• The store has 72 shirts.
• 25% of the shirts are green.
of the green shirts have stripes.
How many shirts are green and have stripes?
Answer:
54are green and have strips
Step-by-step explanation:
72=100% of the total number of shirts
25%=18 shirts
so that means 18 shirts are green
72-18=54
so 54 striped green shirts.
I need help asap please! 20 points!
Graph the parabola.
y=x²–2x-4
Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function
button
This is the graph I hope this helps
Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express.coordinates as fractions, using the slash
mark ( / ) for the fraction bar.
(-1,5) (5,5)
Answer:
(2,5)
Step-by-step explanation:
(Xm, Ym)= ( (x1+x2)/2, (y1+y2)/2 )
= (5 + (-1))/ 2, (5+5)/2
= (4)/2, (10)/2
= 2, 5
Find the surface area of the prism.
Answer:
[tex]A=202\ cm^2[/tex]
Step-by-step explanation:
Given that,
The dimensions of the prism are 4 cm, 9 cm and 5 cm respectively.
The formula for the surface area of the prism is given by :
[tex]A=2(lb+bh+hl)[/tex]
Put all the values,
[tex]A=2(4(9)+9(5)+5(4))\\\\A=2(36+45+20)\\\\A=202\ cm^2[/tex]
So, the required surface area of the prism is equal to [tex]202\ cm^2[/tex].
Find the RANGE
135 120 125 133 66 78 81 91 145 135 68
Here are summary statistics for randomly selected weights of newborn girls: n=250, x_=32.9 hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a 95% confidence level. Are these results very different from the confidence interval 31.9 hg < μ < 34.5 hg with only 19 sample values, x_ = 33.2hg, and s = 2.9 hg?
Answer:
Step-by-step explanation:
Here are summary statistics for randomly selected weights of newborn girls: n=250, x_=32.9 hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a 95% confidence level.
The confidence interval of mean
=32.9 ± 1.96 × 6.9/250
Confidence Interval = 32.9 ± 0.5382
Simplify. (Assume all variables represent positive real numbers). Leave answer in radical form.
[tex]\sqrt128a^{6}b^{13}[/tex]
Answer:
[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{128a^{6}b^{13}}[/tex]
Required
Solve
[tex]\sqrt{128a^{6}b^{13}}[/tex]
The expression can be split to:
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{128} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64 * 2} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{13}}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12 + 1}}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12}} * \sqrt{b}[/tex]
So, we have:
[tex]\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{6/2} * b^{12/2} * \sqrt{b}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{3} * b^{6} * \sqrt{b}[/tex]
Rewrite as:
[tex]\sqrt{128a^{6}b^{13}} = 8 * a^{3} * b^{6}* \sqrt{2} * \sqrt{b}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6}* \sqrt{2b}[/tex]
[tex]\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}[/tex]
11 more than a number k equals 29.
HELP ME PLSSSSSSS
Answer:
11+k=29
Step-by-step explanation:
So "more than" means addition.
let's solve this for fun
11 + k =29
k = 29-11
k= 18
Find the standard deviation. Round to the nearest tenth.
251, 180, 281, 234, 295, 285, 194, 272, 291
O A. 42.6
O B. 31.7
O C. 45.6
O D. 40.2
Factorise 3x^2+11x-20
Answer:
( 3 x − 4 ) ( x + 5 )
Step-by-step explanation:
Answer:
(3x+4) (x-5)
Reverse Check It If You Have Doubts
What is the greatest common factor of 6, 42, and 30?
Answer:
6
Step-by-step explanation:
I found that the greatest common factor for those numbers is 6
The letters in VIRGINIA are each written on a separate card. Mark picks one card at random, keeps it, and then picks a second card. What is the probability that he picks an "I" and then picks a consonant?
3/14
3/16
1/4
2/7
Answer:
okay I would say 1/4
Step-by-step explanation:
the originally eight letters, and then you take one out so there's seven and then your chances of getting the I are two so that's 2/7. then there's only one consonant the R so 1/4.
Which expression is equivalent to y^4?
A. 4•y
B. y•y^3
C. 3y+y
D. y^2+y^2
Answer:
B: y * [tex]y^{3}[/tex]
Step-by-step explanation:
[tex]y^{4}[/tex]= y*y*y*y
Keira is reviewing her checking account statement from the bank. Her starting balance and transactions are listed.
-Starting balance of $49.15.
-Spent $16.23 at Wal Mart.
-Deposit from birthday check of $35.00. -Dinner at Chick-fil-A for $8.34.
-Withdrawal cash at the ATM of $20.
If reconciled, her bank statement should have a balance of
$9.58
$39.58
$79.58
$72.04
Answer:
39.58
Step-by-step explanation:
49.15-16.23=32.92
32.92+35=67.92
67.92-8.34=59.58
59.58-20=39.58
Her balance is $39.58
Hope this helps
Answer:
49.15 - 16.23 + 35.00 - 8.34 - 20 = 39.58
A bag of skittles includes 3 reds, 2 purple, 4 green, 2 organge, and 6 yellow. True or False - Is the theoretical probability of pulling a yellow out of the bag 3/11?
Answer:
true
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
3 + 2 + 4 + 2 + 6 = 17
6/17, it cant be simplifed
The functions f(x) and g(x) are graphed.
Which represents where f(x) = g(x)?
f(2) = g(2) and f(0) = g(0)
O f(2) = g(0) and f(0) = g(4)
O f(2) = g(0) and f(4) = g(2)
O f(2) = g(4) and f(1) = g(1)
96X
3
24
1+
-6-5-4-3-2-14+ 1 43 4 5 6 x
-2+
-3+
4+
5
