Answer:
A. x = 6
Step-by-step explanation:
2x+3(x+10)=60
Use the distributive property to multiply 3 by x+10.
2x+3x+30=60
Combine 2x and 3x to get 5x.
5x+30=60
Subtract 30 from both sides.
5x=60−30
Subtract 30 from 60 to get 30.
5x=30
Divide both sides by 5.
x=
5
30
Divide 30 by 5 to get 6.
x=6
How would you find the intercept for the equation y^2=2-3x-2x^2? I need the steps to understand
9514 1404 393
Answer:
x-intercepts: -2, +1/2y-intercepts: ±√2Step-by-step explanation:
You always find the intercepts by setting the known coordinate to its known value and solving for the value of the unknown coordinate.
An x-intercept is always found on the line y=0. Setting y=0 and solving for x, we find ...
0 = 2 -3x -2x^2
x^2 +3/2x -1 = 0 . . . . . . . . . . . . . . . . divide by -2
(x2^2 +3/2x +(3/4)^2) -1 -(3/4)^2 = 0 . . . . . complete the square
(x +3/4)^2 = 25/16 . . . . . add 25/16 and write as a square
x +3/4 = ±5/4 . . . . . . . take the square root
x = -3/4 ±5/4 = -8/4, +2/4
The x-intercepts are -2 and +1/2.
__
A y-intercept is always found on the line x=0. Setting x=0 and solving for y, we find ...
y^2 = 2 -0 -0
y = ±√2
The y-intercepts are -√2 and +√2.
_____
A graphing calculator can give you a good idea of what the intercepts are.
y=1/2x-4 in Standard Form
[tex]y =\dfrac 12 \cdot x -4\\\\\implies y = \dfrac{x-8}2\\\\\implies 2y = x-8\\\\\implies x -2y=8[/tex]
which best describes the relationship between the 125 angle and angle a
Answer:
They are same side interior angles. Angle A measures 55°.
Step-by-step explanation:
What else is required to prove the triangles are congruent using SAS?
See picture for full problem. Please and thank you so much!
Answer:
<JL congruent <TV
<JU congruent <UL
<TU congruent <UV
Step-by-step explanation:
because they have the same angles and that's my opinion for me
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $26,780 . The variable costs will be $9 per book. The publisher will sell the finished product to bookstores at a price of $22 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer: 2,435
Step-by-step explanation:
trust
What is the other endpoint of the segment with midpoint (-3) and endpoint (-7)?
O 4
O 1
0-11
0-5
Answer:
1
Step-by-step explanation:
From -3 to -7 the distance is 4 (-3--7=4). Midpoint means that point -3 bisects the segment into two equal parts. So, the other endpoint is 4 units away from -3. Since -3+4=1, 1 is answer.
A certain book has 200 pages, and 47 of these pages have an illustration. If one of the book's pages
is selected at random, what is the probability of selecting a page with an illustration? (Express your
answer as a decimal or fraction, not as a percent.)
Answer: fraction:47/200 desimal:0.235
Step-by-step explanation:
Math may be hard but you gotta learn to get smarter
plz help for brainliest
Answer:
Yes it is an isosceles triangle
Step-by-step explanation:
We just need to see if the distance between two points is the same as the distance with two others
Distance between AB = (4 -(-1))² + (7 - 2)² = c²
5² + 5² = c²
25 + 25 = c²
c = √50
Distance between AC = (11-(-1))² + (8 - 2)² = c²
12² + 6² = c²
144 + 36 = c²
180 = c²
c = √180
Distance between CB = (11-4)² + (8 - 7)² = c²
7² + 1² = c²
49 + 1 = c²
50 = c²
c = √50
Hence, this is an isosceles triangle because AB and CB are congruent in length.
-Chetan K
We need to verify if any of two sides are equal then it is an isosceles triangle.
Refer to the attachment now
41 divided by 533 estimate it and its long division and I have to find the R
Answer:
12 R20
Step-by-step explanation:
changed 41 to 40 and 533 to 500. work is in file above.
I need help with this also I had was to repost it again because someone deleted it
Answer: 8:05
Step-by-step explanation:
Answer: 8:05
Step-by-step explanation:
7th grade math please help me thank you.
Quadrilateral HUJK has coordinates H(2, 3), 1(2, 6), J(-1, -8), and K(-2, 4). If the quadrilateral is
translated and H' (the image point of H) is located at (6, 2), find the coordinates of J' (the
image point of J).
Answer:
Ima troll
Step-by-step explanation:
Can my grade go up to an A within 3 weeks if i just do class work?
Answer:
da_mn the struggle is real
Step-by-step explanation:
A planee is flying at a speed of 250 miles per hour. How long does it take to fly 250 (show steps)
Answer:
1
Step-by-step explanation:
If the plane goes 250 per HOUR, then it will take that one hour to get to 250
i need help fast please
Solve this and show steps
4.5×8-(0.4+9.6-(3.6-1.8))
Answer:
27.8
Step-by-step explanation:
You need to do brackets first
3.6-1.8 = 1.8
Then substitute
4.5 x 8- (0.4 + 9.6- 1.8)
0.4+9.6-1.8=8.2
4.5 x 8 - 8.2 =27.8
write an equation in slope intercept form for the line with slope 1/3 and y-intercept -3
Answer:
y = [tex]\frac{1}{3}x-3[/tex]
Step-by-step explanation:
The value of an autographed baseball card increased from $39 to $65.
What is the percent increase in value of the baseball card? Round to the nearest hundredth of a percent.
Answer: The percent of increase is 66.67%.
Step-by-step explanation:
Find the percent of increase of baseball cards.
Step 1: Subtract the starting value from the final value.
65 - 39 = 26
Step 2: Take the value you get and divide it by the starting value.
26 ÷ 39 = 0.666667
Step 3: Multiply what you get by 100.
0.666667 × 100 = 66.6667
Step 4: Round what you get the nearest hundredth of a percent.
66.6667 → 66.67%
Elizabeth bought lemons (l) and apples (a). Each apple costs 35¢ and each lemon costs 15¢. All together, she bought 17 lemons and apples for $3.95. Which system can be used to determine how many of each she bought?
Step-by-step explanation:
Given:
Lemons - l and apples - aa = 35¢, l = 15¢Number of apples and lemons = 17Cost of lemons and apples = $3.95 = 395¢System as per question:
a + l = 1735a + 15l = 395Or
a + l = 170.35a + 0.15l = 3.95Step-by-step explanation:
Let the number of apples be a and lemons be l . Then ,
=> a + l = 17
Also ,
=> 35a + 15l = $ 3.95
When divding numbers with the same base you________ the exponents
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
When divding numbers with the same base you subtract the exponents ~
Answer:
subtracts
Step-by-step explanation:
hope this helps
What is the surface area of the cylinder with height 8 km and radius 4 km? Round
your answer to the nearest thousandth.
The solution is: the surface area of the cylinder is 301.44 km².
Here, we have,
from the given diagram, we get,
For surface area of a cylinder:
A = 2(π) × (radius) × (height) + 2(π)×(radius squared)
For the first half of that equation:
2(π) × (radius) × (height)
2 × (3.14) × (4) × (8)
= 200.96 km²
Now the second half of that equation, the area of the circle ends:
2(π)×(radius squared)
= 2 × (3.14) × (4) × (4)
= 100.48 km²
Add them up:
200.96 km² + 100.48 km² = 301.44 km²
Hence, The solution is: the surface area of the cylinder is 301.44 km².
learn more on surface area click :
brainly.com/question/23973712
#SPJ1
Ten less than the product of a number and 45.
Answer:
45*x-10
Step-by-step explanation:
10 less than a number would give you
x - 10
and the product of a number means your multiplying and your multiplying 45 so you would get
45*x
add them together and you get
45*x-10
There are six cookies and four friends want to share them how much will it be
Answer:
1.5 each friend
Step-by-step explanation:
6 divided by 4 = 1.5
HELPPPPPP plsssssssssss
Answer:
270°
Step-by-step explanation:
∠ PQR = 90° ( angle in a semicircle )
PRST is a cyclic quadrilateral
The opposite angles in a cyclic quadrilateral are supplementary, sum to 180°
Then
∠ PRS + ∠ PTS = 180°
∠ PQR + ∠ PRS + ∠ PTS = 90° + 180° = 270°
What is the range of this function?
4
-
co
8
7
18
-15
O A. {-4, -1, 15, 18}
O B. {-4,1,7,15}
OC. {-1,4, 8, 18}
O D. {-4, -1,1,4,7,8, 15, 18}
Answer:
Not sure but I think it's B.
What is the y intersect. Pls help
Answer:
total shipping cost
Step-by-step explanation:
Pls help i am so lost
Answer:
x= 90 degrees
y=43 degrees
Step-by-step explanation:
Yuri surveyed a random sample of 75 students in his school about their favorite color. Of the students surveyed, 49 chose lavender as their favorite color. If there are 908 students at the school, what is a valid estimate of the number of students whose favorite color is lavender?
600 students
300 students
450 students
800 students
which one?
Answer:
600
Step-by-step explanation:
Take the number that answered lavender and divide by total # of students surveyed
49/75 = .653333 or 65.3%
then take the total # of students and multiply by .6533333
908x .6533333 = 593.22
so the closest estimate is 600
-- Gage Millar, Algebra 1/2 tutor
Wanda is a nurse at a busy city hospital. What qualities might help Wanda in her career?
Answer:
b.
This may be the complete question:
Wanda is a nurse at a busy city hospital. What qualities might help Wanda in her career?
a. Wanda is task oriented and likes to be alone.
b. Wanda has a lot of energy and is a good multitasker.
c. Wanda has remarkable typing skills and does well with computers.
d. Wanda has very good concentration skills and likes to create things with her hands.
Answer: b.
[tex]\sqrt{17} \times \sqrt{17}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent value is ~
[tex] \boxed{17}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
[tex] \sqrt{17} \times \sqrt{17} [/tex][tex]( \sqrt{17}) {}^{2} [/tex][tex]{(17 {}^{ \frac{1}{2}}) }^{2} [/tex][tex]17[/tex]