Answer:
[tex]y=\frac{5}{3}x+\frac{10}{3}[/tex]
Step-by-step explanation:
Firstly we rewrite the equation that is parallel to the line we need because parallel lines have the same slope by the rule
[tex]m_1=m_2[/tex]
so we rewrite the equation in slope-intercept form:
[tex]5x-3y=17\\-3y=-5x+17\\y=\frac{-5x+17}{-3}\\\\y=\frac{-5x}{-3}+\frac{17}{-3} \\\\y=\frac{5}{3}x-\frac{17}{3}[/tex]
and now we compare it with our slope-intercept form equation:
[tex]y=mx+b[/tex]
the coefficient of x which is m is the slope and since parallel lines have equal slopes the line that we need would also have the same slope which is 5/3.
now the next step is the line that we need passes through the point (-2,0) so it means that it should satisfy that specific point so we insert that point into our slope-intercept form and insert the slope which is 5/3 which is m.
[tex]y=mx+b\\y=\frac{5}{3}x+b\\\\0=\frac{5}{3}(-2)+b\\\\0=\frac{-10}{3}+b\\\\b=\frac{10}{3}\\[/tex]
now we know that the y-intercept(b) of the line we need is 10/3 and slope(m) is 5/3 insert these values into our slope-intercept form:
[tex]y=mx+b\\y=\frac{5}{3}x+\frac{10}{3} \\[/tex]
so this is our given line.
please answer will mark brainlyist
Answer:
A. I
B.R
C.R
D.R
E.I
Step-by-step explanation:
I= Irrational
R=Rational
Answer:
1) irrational
2) rational
3) rational
4) rational
5) irrational
Step-by-step explanation:
hope this helps!
if its right, plz mark me brainliest!
Simplify: (6-91)-(2-31)
Answer:
-56
Step-by-step explanation:
6-91=
-85
2-31=
-29
-85--29=
-56
Answer:
-56
Step-by-step explanation:
Help me please !!!!!!
Answer:
z = -44
Step-by-step explanation:
3/4 (x - 8) = 4
3(x - 8) = 16
3x - 24 = 16
3x = 40
x = 40/3
4 - 2x = -5x - z
4 = -3x - z
z = -3x - 4
z = -3(40/3) - 4
z = -40 - 4
z = -44
Answer:
Z=-44
Step-by-step explanation:
To figure out z. we have to figure out x first
So
3/4(x-8)=4
x-8=4÷3/4
x-8=4×4/3
x-8=16/3
3x-24=16
3x=16+24
3x=40
x=40/3
Now
4-2(40/3)=-5(40/3)-z
4-80/3=-200/3-z
z-68/3=-200/3
z=-200/3+68/3
z=-44
this is a sat practice. need help
Answer:
The answer is A) -1 + 12i
Step-by-step explanation:
(7 + 3i) + (-8 + 9i)
(7 - 8) + (3 + 9)i
7 - 8 = - 1
3 + 9 = 12
- 1 + 12
The perimeter of a rectangle is 100 and its length is x. What expression represents the width of the
rectangle?
Drake is considering buying one of the four popular e-readers where the e-reader's premium services is a monthly charge. The functions LaTeX: A_1\left(t\right)=\:5t+350,\:\:\:A_2\left(t\right)=10t+250,\:\:\:\:\:A_3\left(t\right)=499,\:and\:\:\:\:\:\:A_4\left(t\right)=15t+179A 1 ( t ) = 5 t + 350 , A 2 ( t ) = 10 t + 250 , A 3 ( t ) = 499 , a n d A 4 ( t ) = 15 t + 179 model the total amount of money A, in dollars, that Drake spends after buying the e-reader and subscribing to t months of the e-reader's premium services. Which e-reader has the greatest monthly subscription cost?
Answer:
[tex]A_4[/tex]
Step-by-step explanation:
The cost of the e-readers and the subscription of their services are
[tex]A_1(t)=5t+350[/tex]
[tex]A_2(t)=10t+250[/tex]
[tex]A_3(t)=499[/tex]
[tex]A_4(t)=15t+179[/tex]
The functions are of the form
[tex]A(t)=mt+c[/tex]
Where [tex]m[/tex] is the monthly subscription cost and [tex]c[/tex] is the cost of the e-reader.
So, 15 dollars is the highest subscription cost which is of the 4th e-reader.
Hence [tex]A_4[/tex] has the highest subscription cost.
What is a equivalent fraction to 8/15 using the denominator 15
Answer:
15/22
Step-by-step explanation:
Gianna wants to buy holiday presents for her family. At the holiday sale, every ornament is $3 and every stocking is $8. Although there will be 24 people at holiday dinner, she wants to buy more just in case someone brings a guest. She has allotted $200 for gifts. Write a system of linear inequalities to represent the situation
9514 1404 393
Answer:
o + s > 243o +8s ≤ 200Step-by-step explanation:
Let o and s represent the numbers of ornaments and stockings, respectively.
o + s > 24 . . . . . . the total of gifts is more than 24
3o +8s ≤ 200 . . . the maximum budget is $200
Prove This :
sin(A+B)+sin(A−B)=2sinA⋅cosB
Answer:
We know
sin (A + B) = sin A cos B + cos A sin B
sin (A - B) = sin A cos B - cos A sin B
(A + B) + sin (A - B)
= sin A cos B + cos A sin B + sin A cos B - cos A sin B
= sin A cos B + sin A cos B
= 2 sin A cos B
what's the slope for this, I really need help, like a lot,
Answer:
It would be 3/3
Step-by-step explanation:
it is over 3 and up 3 if you are trying to get 3\4 go up 1
find the value of x and y
x° + 2y° = 180° ⇒ 2y° = 180° - x°
x° = 60° {three sides of the same lengh, means three angles=60°}
2y° = 180° - 60°
2y° = 120°
y° = 60°
Cory is hiking up a hill with a constant slope. The double number line shows that after Cory hikes 3 \text{ km}3 km3, start text, space, k, m, end text, his elevation is 120 \text{ m}120 m120, start text, space, m, end text.
Answer:
The answer is "3 km ".
Step-by-step explanation:
Distance in (km): [tex]3 \to 1[/tex]
Elevation value in (m): [tex]120 \to 40[/tex]
[tex]\to \frac{3}{1} = 3 \ km \\\\\to \frac{120}{40} =\frac{12}{4} = 3 \ km[/tex]
Answer:
A..
Step-by-step explanation:
khan acadmey says so
Which of the following graph's represent the inequality y<2x+7 ?
Answer:
graph a
Step-by-step explanation:
2*0 = 0
0+7 = 7
0<7; it is a solution
Expand these expressions.
−(−x − 7)
It is an unlike term
Step-by-step explanation:
hope this helps you
David uses ¼ cup of apple juice for every ½ cup of carrot juice to make a fruit drink.
How many cups of apple juice does David use for 2 cup of
carrot juice?
Answer:
1
Step-by-step explanation:
1/4 every 1/2
so 1/2 every 1 cup
so 1 every 2 cups
How does the sketch of a graph of function help describe its behavior
Answer:
The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).
If a box 100 tea bags cost $4.52 how much does one tea bag cost? (please show work)
Answer:
$0.0452
Step-by-step explanation:
100 tea bags coat $4.52
1 " " " 4.52/100
$ 0.0452
Answer it guys pls idk how... you can also show the steps. For those who answer it all correctly I will give the brainliest answer
Answer:
essentially, in these problems, youre finding the square root of each number. the square root should be a decimal thats in between two other numbers, and those will be the integers that the value of the square root is between. unless the value is exactly a number and a half, it will be closer to one integer than the other. the work is below.
square root of:
59= 7.68
68= 8.246
78= 8.83
93= 9.64
104= 10.198
124= 11.14
33= 5.74
185= 13.6
215= 14.66
these are just the square roots. but, as you can see, each number is between two other whole numbers on a number line. So, just write down what those numbers are.
7.68 is between 7 and 8
8.246 is between 8 and 9
8.83 is between 8 and 9
9.64 is between 9 and 10
10.198 is between 10 and 11
11.14 is between 11 and 12
5.74 is between 5 and 6
13.6 is between 13 and 14
14.66 is between 14 and 15
so, we know thw numbers that each decimal is between, but we have to find which one each is cloest to. in order to do that, just know that if the decimal is more than .5 its closer to the larger number, and its its less than .5, its closer to thw smaller number.
7.68 is closer to 8
8.246 is closer to 8
8.83 is closer to 9
9.64 is closer to 10
10.198 is closer to 10
11.14 is closer to 11
5.74 is closer to 6
13.6 is closer to 14
14.66 is closer to 15
I NEED HEP ASAP!?!! , someone pls help me.
Answer:
srry this aint no 5 point question Ma'am (absolutely no hardfeelings :D)
Step-by-step explanation:
20 kilograms to pounds
Answer:
44.0925 pounds
Step-by-step explanation:
Can somebody plz help answer these questions CORRECTLY thanks!!
(Only if u know how to do it)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD
Answer:
a)72% b)75%
Step-by-step explanation:
I’m not really sure bout a. If it changed to 50, I kept the amount she answered correct but out of 50-(36/50) to get the percent. b) is the 36 she got correct out of the 48 she tried to do-36/48 x 100
Abba grew 1 foot over the past year . He is now 5 feet tall. Draw a bar model to compare abba's previous height to the amount he grew over the past year
Answer:
Please find attached the bar model that shows the comparison between Abba's previous height to the height by which Abba grew over the past year
Step-by-step explanation:
A bar model, in mathematics, is defined as a graphic depiction of a given quantity represented by numbers presented in a rectangular box or bar form that is then applied in finding numerical relationship solutions
The height by which Abba grew over the past 1 year = 1 ft.
Abba's current height = 5 feet
Therefore, Abba's initial height = 5 feet - 1 foot = 4 feet
Please find attached the bar model that compares Abba's previous height to the height Abba grew over the past year created with Microsoft Visio
9. Jeremy receives a base salary of $25,000 plus 5% commission on his sales. Jeremy received a total salary of
$45,000 last year. How much were his total sales?
a. $20,000
b. $70,000
c. $400,000
d $900,000
Answer:
c. $400,000
Step-by-step explanation:
Let his total sales be $x.
Salary + commission =$45000
[tex] \therefore \: 25000 + 5 \% \: of \: x = 45000 \\ \\ \frac{5}{100} x = 45000 - 25000 \\ \\ \frac{1}{20}x = 20000 \\ \\ x = 20 \times 20000 \\ \\ x = \$\:400, 000[/tex]
Pens cost 43p and booklets cost £1.85 How much change will I get from £10 if I buy 3 pens and 4 booklets
Answer:
Step-by-step explanation:
lets see how much will cost 3 pens
3*.43=1.29
booklets
1.85*4=7.4
total
7.40+1.29=8.69
10-8.69=1.31
After subtracting 2x from each side, the resulting equation is shown below:
2x+4y=8
4y=-2x+8
the final step to solve for y would be to what?
8. What is the annual salary for someone who earns a biweekly salary
of $863.00?
Answer:
approximately $22438
Explanation:
If this is wrong which im pretty sure it isnt, im sorry :)
Answer: Annual Salary = $22,438
===================================================
Work Shown:
biweekly means every 2 weeks
There are roughly 52 weeks in a year, so there are 52/2 = 26 biweekly paychecks over the course of the full year.
So the annual salary is 26*863.00 = 22,438 dollars.
Mr. and Mrs. Preston and their two children are very excited about their upcoming
vacation. The Preston family is leaving early in the morning to drive to Florida. It will take
two days to drive to Florida. The family will have to stay one night in a hotel. Mr. and
Mrs. Preston want to spend as little money as possible for the hotel room. Mr. Preston
uses the information below and rounding to estimate which hotel offers the best deal.
Which hotel offers the best deal for the Preston family to stay? Show all your
Answer:
They will spend less at the sunny side hotel
Step-by-step explanation:
The attachment completes the question.
From the question, we understand that there are 4 individuals involved.
Mr. Preston (1)Mrs. Preston (1)The children (2)And they will spend one night
First, we need to calculate the expenses in Traveler's hotel.
[tex]Rate = \$107.10[/tex] (for 3 people)
[tex]Additional\ Person = \$21.55[/tex] (for 1 person)
[tex]Breakfast = \$8.75 * 4[/tex] (for 4 people)
[tex]Tax = \$16.85[/tex]
Total Expenses
[tex]Total = \$107.10 + \$21.55 + \$8.75* 4 + \$16.85[/tex]
[tex]Total = \$107.10 + \$21.55 + \$35.00 + \$16.85[/tex]
[tex]Total = \$108.50[/tex]
For Sunny Side hotel:
[tex]Rate = \$152.95[/tex] (for 4 people)
[tex]Tax = \$21.34[/tex]
Total Expenses:
[tex]Total = \$152.95 + \$21.34[/tex]
[tex]Total = \$174.29[/tex]
By comparison, they will spend less at the sunny side hotel.
3/4 x 2 2/3 please answer quick am running out of timr
Answer:
2 I think
Step-by-step explanation:
Given: \overline{BD} \cong \overline{BE}, BD ≅ BE , \overline{DE} DE bisects \overline{AB} AB and \overline{DE} DE bisects \overline{BC}. BC . Prove: \overline{AB} \cong \overline{BC} AB ≅ BC .
Given:
[tex]\overline{BD} \cong \overline{BE}[/tex]
DE bisects [tex]\overline{AB}[/tex].
DE bisects [tex]\overline{BC}[/tex].
To prove:
[tex]\overline{AB} \cong \overline{BC}[/tex]
Proof:
DE bisects [tex]\overline{AB}[/tex]
Then, [tex]AD=BD[/tex]. ...(i)
DE bisects [tex]\overline{BC}[/tex].
Then, [tex]BE=CE[/tex]. ...(ii)
We have,
[tex]\overline{BD} \cong \overline{BE}[/tex] ...(iii)
Using (i), (ii) and (iii), we get
[tex]\overline{AD} \cong \overline{CE}[/tex] ...(iv)
Adding (iii) and (iv), we get
[tex]\overline{BD}+\overline{AD} \cong \overline{BE}+\overline{CE}[/tex]
[tex]\overline{AB} \cong \overline{BC}[/tex]
Hence proved.
31. Each small square on the grid below is 3cm by 3cm. What is the area of
the shape drawn on the grid?