Answer:
y=-3/2x+13
Step-by-step explanation:
Convert to slope-intercept form (y=mx+b):
-3x+2y=10
-3x-10+2y=0
-3x-10=-2y
-3/2x-5=y
y=-3/2x-5
Parallel lines have the same slope, so the slope of the equation will be m₁=m₂ where -3/2=-3/2
Solving for b, the y-intercept, we get:
y=-3/2x+b (Equation so far)
7=-3/2(4)+b [Plugging in (4,7)]
7=-12/2+b
7=-6+b
13=b
Therefore, the equation of the line that is parallel to the line -3x+2y=10 and goes through the point (4,7) is y=-3/2x+13
Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of pi
Answer:
18π cm²
Step-by-step explanation:
The area of the shaded region = Area of Sector
Radius, r =
The value of θ = 80°
Recall :
Area of Sector :
A = θ / 360 * πr²
A = (80 / 360) * π * 9²
A = 0.222222 * π * 81
A = 18π cm²
The elevator at the state capital has a maximum weight capacity of 2000 pounds. If there are 3
people already on the elevator with a combined weight of 428 pounds, write an inequality to express
the possible weights that may be added to the elevator,
Part A: Define your variable
Part B: Write the inequality
Part C: Describe what your inequality looks like on a number line. Be sure to include whether the
circle is open or closed and the direction the line is shaded.
Answer:
Step-by-step explanation:
Maximum capacity of the elevator = 2000 pounds
Combined weight of the elevator = 428 pounds
A). Let the possible weights that can be added to the elevator = w pounds
B). Therefore, inequality representing this situation will be,
428 + w < 2000
C). By solving the given inequality,
(428 + w) - 428 < 2000 - 428
w < 1572 pounds
Now we draw this inequality on a number line.
On a map that bus stop is at the coordinates (5,4) and the pond is at the coordinates (8,5) what is the distance from the bus stop to the pond to the nearest unit
Answer:
Hence the distance is 3.16
Step-by-step explanation:
Given data
The bus stop is at the coordinates (5,4) and
x1=5
y1=4
The pond is at the coordinates (8,5)
x2=8
y2=5
The expression for the distance between two coordinates is
d=√((x_2-x_1)²+(y_2-y_1)²)
Substitute
d=√((8-5)²+(5-4)²)
d=√((3)²+(1)²)
d=√9+1
d=√10
d=3.16
For which of the inequalities below is v = 4 a solution?
A v + 5 ≥ 9 B v + 5 ≤ 8
C v + 5 < 8 D v + 5 > 9
Step-by-step explanation:
You can use this app is call symbols and it's completely free.
Hope this helps
Thirty percent of the cost of a dress is the same as
one-half the cost of the dress decreased by $8.
What is the cost of the dress?
hi thats confusingAnswer:
Step-by-step explanation:
h
Which of the following expressions is equivalent to the expression?
Scott took 77 math tests in one semester. His scores on the tests were: 89 ,73 ,84 ,91 ,87 ,77 ,94
What was his mean test score?
Answer:
85
Step-by-step explanation:
Scott took 7* math tests in one semester. His scores were 89 , 73 , 84 , 91 , 87 , 77 , 94.
Find the mean. To solve for the mean, add all the scores together, and divide by the amount of tests he took:
(89 + 73 + 84 + 91 + 87 + 77 + 94)/7
(595)/7 = 85
Scott's mean test score is 85.
~
Answer:
85
Step-by-step explanation:
1. Add up all the numbers
=595
2. Dvivde it by how many numbers their are.
=7
3. Divide
595/7
=85
How many degrees is angle LMO? The angles are supplementary
Answer:
180 degrees
Step-by-step explanation:
In fort worth, texas, 6 bats ate 36 grams of insects in one night. At this rate, how many grams of insects could 42 bats eat in one night?
Answer:
252 grams
Step-by-step explanation:
To get from 6 to 42, we need to multiply 6 by 7. This means the amount of grams of insects eaten should multiplied by 7.
36 × 7 = 252 grams
Answer:
252 grams
Step-by-step explanation:
Ratios:
[tex]\frac{6}{36} =\frac{42}{x} \\\\6x=1512\\x=252[/tex]
What is the slope of the line?
Answer:
-7/4 or -1.75
Step-by-step explanation:
rise over run
Write the values in the boxes that make the statement true
Answer:
[tex]\frac{5}{3}xz^8*9x^6y^0z^2 = 15x^7z^{10}[/tex]Step-by-step explanation:
Given
[tex]\frac{5}{3}xz^a*bx^cy^dz^2 = 15x^7z^{10}[/tex]Simplify
[tex]\frac{5}{3}b*x^{1+c}z^{a+2}y^d = 15x^7z^{10}y^0[/tex]Compare left and right sides and
Find b:
[tex]\frac{5}{3}[/tex] b = 15 ⇒ b = 15*3/5 = 9Find c:
1 + c = 7 ⇒ c = 7 - 1 = 6Find a:
a + 2 = 10 ⇒ a = 10 - 2 = 8Find d:
d = 0Solution is:
[tex]\frac{5}{3}xz^8*9x^6y^0z^2 = 15x^7z^{10}[/tex]heyyyyyyy besties um if someone wants to help me that would be great ‼️
Answer: constant
Step-by-step explanation:
Hope this help!
Determine the change to the base of a triangle if the height is tripled and the area is 12 times larger than the original.
I'll give brainliest to first answer. Help please
Answer:
If the height is tripled and the area is 12 times larger, the base would be 8 times larger.
Step-by-step explanation:
Area of Triangle = 1/2(base × height)
If the area is 1 foot and the height is 1 foot, that means the base is 2 feet, since 1 = 1/2(2 × 1)
Now, if the height is tripled and the area is 12 times larger, then the base would have to be 8 feet, since 12 = 1/2(8 × 3)
Write 3.1415×106 in standard notation
Answer:
332.999
Step-by-step explanation:
juice wrld
Suppose your SAT score is 1180. You look up the average SAT scores for
students admitted to your preferred colleges and find the list of scores below.
Based on your SAT score of 1180, which average score below represents the
college that would be your best option?
Do you have the options for this?
What is the volume of the prism? Enter your answer, as a mixed number in simplest form, in the box.
Answer:
I need a picture, but the formula for volume of a prism is V= base area* height
there is a picture with formulas attached too.
Step-by-step explanation:
Sally has a bag of apples that weighs 2 kilograms. How much does the bag of apples weigh in grams
Answer:
1Kg=1000g
sally has 2 kg apples in her bag
so 2kg ×1000g=2000g
Need math helps plzzzz no links or imma report u 20 points plzzz helps
Answer:
the answer is (c)
Step-by-step explanation:
-(-1)-13= 1-13=-12
Answer:
-1
Step-by-step explanation:
You need to take -13 behind the = sign and it will become +13. Now -12+13=-1. Again it is -x because of which 1 will be divided by - and the answer will be -1
GIVING BRAINLIEST AND THE REST OF MY POINTS!!!!!!
What type of triangle is shown in the image?
Acute triangle
Right triangle
Equilateral triangle
Obtuse triangle
Answer:
obtuse triangle
Step-by-step explanation:
Answer:
D. OBTUSE
Step-by-step explanation:
it's an obtuse triangle. :)
4
Select all the expressions that are equivalent to
-2(5x - 1) + 7(5x - 1) – 3(-5x + 1)
M. -10x – 1 + 35x - 1 + 15x + 1
P. -10x + 2 + 35x - 7 - 15x - 3
R. (5x - 1)(-2 + 7 - 3)
S. (5x - 1)(-2 + 7 + 3)
T. 40% - 8
V. 10x + 2
Answer:
The first answer is M. -10x - 1 + 35x - 1 + 15x + 1
maybe
write an EQUATION that represents what is seen in the figure and then find the value of x.
Mrs. Leary wants to buy some plants and potting soil. Each plant costs $2.50 and each bag of potting soil costs $3.25. Mrs. Leary wants to spend no more than $50. If Mrs. Leary buys 4 bags of potting soil, which inequality represents the number of plants, p, that she may buy?
Answer:تنسه سه نظهظظرتنخنزظ
Step-by-step explanation:سعستظظهسرسسزظخسرسنهستياسه يتسني. ينبري بيخيرني يينينيرث يحيرني يخجيريحيي ب نهي معاي. مببب يح
3.25 times 4 equals 13. So, the plant cost needs to add up to 37. 37 divided by 2.5 is 14.8, or rounded, 15. So she can buy around 15 plants.
50 - 13/2.5 would be the inequality i think.
Please tell me if I did this the wrong way or not.
45 minutes ago
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Background
Layout
Theme
Transition
4.
P:
Caleb invests $10,000 in a savings
account that pays 3% simple interest.
How many years will it take the account
to grow to $12,700, if he does not make
any withdrawals or deposits?
A 7 years
B 12 years
C 9 years
22 years
r:
t:
D
k to add speaker notes
Answer:
876889068
Step-by-step explanation:
Solve for x ax-bx/x+c = d, if a =/b+d
Answer:
dc/a-b-d
Step-by-step explanation:
ax – bx = d
x + c
Multiply both sides by x + c
ax – bx
(x + c) = d(x + c)
x + c
Simplify
ax – bx
(x+c): ax – bx
x + c
ax – bx = d(x+c)
Expand d(x+c): dx + cd
ax — bx = dx + cd
Subtract dx from both sides
ax – bx – dx = dx + cd – dx
Simplify
ax – bx – dx = cd
Factor ax – bx – dx: x(a – b – d)
x(a - b- d) = cd
Divide both sides by a – b – d; a + b + d
x(a – b - d) cd
a + b + d
a - b - d
a – b-d
Simplify
X =dc/a-b-d
The value of 'x' in the algebraic equation is [tex]\rm x= \frac{dc}{a-b-d} \\[/tex] where [tex]\rm a\neq b+d[/tex]
It is given that the algebraic equation [tex]\rm \frac{ax-bx}{x+c}= d[/tex]
It is required to solve the algebraic (polynomial) equation if [tex]\rm a\neq b+d[/tex]
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have an algebraic equation:
[tex]\rm \frac{ax-bx}{x+c}= d[/tex]
[tex]\rm \frac{ax-bx}{x+c}= d\\\\\rm ax-bx=d(x+c)\\\rm ax-bx=dx+dc\\\rm ax-bx-dx=dc\\\rm (a-b-d)x=dc\\\\\rm x= \frac{dc}{a-b-d} \\[/tex]
Thus, the value of 'x' in the algebraic equation is [tex]\rm x= \frac{dc}{a-b-d} \\[/tex] where [tex]\rm a\neq b+d[/tex]
Learn more about Polynomial here:
brainly.com/question/17822016
Evaluate: 2-^4=
A.1/16
B.1/8
c. -8
D.-16
Answer:
A. 1/16
Step-by-step explanation:
[tex] {2}^{ - 4} = \frac{1}{ {2}^{4} } = \frac{1}{16} \\ [/tex]
Claire lives 2.2 miles away from the library. She decides to walk to the library with her friend. They have already walked 0.53 miles. How much further do they need to walk to reach the library? Show your work.
Answer:
2/3
Step-by-step explanation:
i tried answering this but I don't think its right
I’m honestly confused I will mark Brainliest
Answer:
28 units !
brainliest please.
Step-by-step explanation:
Answer:
502.4 units³
Step-by-step explanation:
Volume of a cylinder = π r² h
where r is the base radiush is the height of the cylinder[tex]volume \: = 3.14 \times {4}^{2} \times 10 \\ volume \: = 3.14 \times 16 \times 10 \\ volume \: = 502.4 \: {unit}^{3} [/tex]Angela claims she has successfully translated PR to P’R’ along the vector MN
Yosef says she hasn’t
Who is right, and why?
6th Grade Math:
The marked price of a water cooler is $4650. The shopkeeper offers an off-season discount of 18% on it. Find its selling price.
Answer:
$5000
Step-by-step explanation:
