p
[tex]97x + 58y - 66y + 44x[/tex]
[tex]\longrightarrow{\blue{ 141x - 8y }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]97x + 58y - 66y + 44x[/tex]
Let us rewrite the expression so that the like terms are next to each other.
[tex] = 97x + 44x+ 58y - 66y[/tex]
Combine the coefficients.
[tex] = (97 + 44)x + (58 - 66)y[/tex]
[tex] = 141x - 8y[/tex]
[tex]\sf\pink{Happy\:learning! }[/tex]
Find the x-intercepts of the parabola with
vertex (1,20) and y-intercept (0,16).
Answer:
Step-by-step explanation:
Since we are finding the x-intercepts, that implies that this is a parabola that opens either up or down as opposed to right or left. It would benefit us to know the equation of the parabola so we could factor it to find the roots (which are also known as the x-intercepts).
Here's what we know:
h = 1, k = 20, x = 0, and y = 20. Filling in the vertex form of a parabola is already halfway to factored, so we'll use that format as opposed to the standard form, which is
[tex]y=ax^2+bx+c[/tex]. The vertex form is
[tex]y=a(x-h)^2+k[/tex] and filling in our values from above:
[tex]16=a(0-1)^2+20[/tex] and
[tex]16=a(1)+20[/tex] and
-4 = a. So the equation for the parabola is
[tex]y=-4(x-1)^2+20[/tex]. Now set it equal to 0 and factor.
[tex]-20=-4(x-1)^2[/tex] and divide both sides by -4 to get:
[tex]5=(x-1)^2[/tex] and take the square root of both sides to get
±[tex]\sqrt{5}=x-1[/tex] and then add 1 to both sides to get the x-intercepts (or roots or solutions or zeros...they're all the same).
x = 1 ±√5 and you're done!
Which is the graph of inequality 2 - (x + 3) < 4 - 2x?
Answer:
x<5
Step-by-step explanation:
Help pls!!!!!!!!!!!!!!
Answer:
160 for each
Step-by-step explanation:
A normal distribution means that mean = median = mode. Furthermore, in a normal distribution, 68% of values are within 1 standard deviation of the mean, 95% of values are within 2 standard deviations, and 99.7% are within 3 standard deviation.
The mean is 150 and the standard deviation is 15. 165 and 135 1 standard deviation away from the mean, so 68% of values are between 135 and 165. This means that 32% of values are not between those values. A normal distributuion is symmetric, so 16% of values are greater than 1 standard distribution and 16% are less. Therefore, 16% of values (160) are less than 135 and 16% of values (160) are greater than 165
Find the mean, median, and mode of the following set of data:
54, 48, 37, 55, 51, 54, 42, 52, 53
pls help me
Answer:
Mean: 52.8
Median:52
Mode:54
Step-by-step explanation:
Mean: 54+48+37+55+51+54+42+52+53=476
476/9=52.8
Median: 37,42,48,51,52,53,54,54,55. The middle one is 52.
Mode: Most common one = 54
Hope this helps! Have a nice day!
Anil bought 6 exercise books at Rs 40 each and an eraser for Rs 10, He gave a Rs 500 note to the shopkeeper for the payment. How much change did the shopkeeper return him?
Find the value of x when : 2^30/8^9=2^x
The line means divide
please i need step by stem explanation I already know answer
Answer:
x = -3
Step-by-step explanation:
Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:
2³⁰/(2³)⁹ = 2^x
When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:
(2³)⁹ = 2^3•9 = 2²⁷
Now we have:
2³⁰/2²⁷ = 2^x
When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:
2^(30-27) = 2^x
2^-3 = 2^x
Now you know that x = -3
During a school event, Noah is selling pizza at the food stand for $1.25 per slice. How many slices of pizza would Noah need to sell to earn $120? Explain your reasoning.
Answer:
96
Step-by-step explanation:
120/1.25=96
Noah needs to sell 96 slices of pizza to earn $120.
In which part of the graph is the height of the water increasing?
Answer:
A. 3
Step-by-step explanation:
Section 1: decrease
Section 2: level, no increase, no decrease
In section 3, the slope is positive. The graph goes up to the right. The level of water increases in section 3.
Section 4: decrease
Section 5: decrease
Answer: A. 3
Answer:
A. 3
Step-by-step explanation:
The table of values shown below represents a linear function. Which of these points could also be an ordered pair in the table, and why?
Answer:
BStep-by-step explanation:
not sure if i am right but go off process of elimination
A is a not it to get slope you need to do Y=Mx+b because the slope should be 1.3 and if you get the deciml form of 3 over 9 it would be 0.75
and if you do same process on all of then you will see it is B
Martha has x pence and Peter has twice the amount as Martha and 8 more. Together they have 200 pence. How much do Martha and Peter have?
WILL GIVE BRAINLIEST
Step-by-step explanation:
x+2x+8 =200
3x=200-8
3x=192
x = 64
Martha has 64 pence
Peter jas 136 pence
can someone tell me what the answer for
2 kos60° + tan 45 °
Answer:
[tex]{ \tt{2 \cos60 \degree + \tan(45 \degree) }} \\ \\ = 2(0.5) + 1 \\ = 1 + 1 \\ = 2[/tex]
If 34+5= 36
56 +2 = 39
27 +6 = 45
47 +5 = 48
28 +1 = 33
then 41 + 5=
please help
Answer:
I'm guessing 46 if its actually adding
what's my correct answer
Answer:
C
Step-by-step explanation:
AE 40+60 = 100
CD 20+60 = 80
Answer:
C..............................
Which equation represents the relationship between x and y in the table?
Answer:
Its a
Step-by-step explanation:
3*3 =9
4*4 =16
5*5 =36
Answer:
A. y=x^2
Step-by-step explanation:
A. y=x^2
when x=0 and y=o
0=0^2
0=0(true)
when x=1 and y=1
1=1^2
1=1 (true)
when x=3 and y=9
9=3^2
9=9 (true)
Three hikers equally shared One-half gallon of water. Explain how you would use an area model to find the amount of water each hiker drank.
Answer:
1/6 gallon of water
Step-by-step explanation:
Number of hikers = 3
Quantity of water shared = 1/2 gallon of water
If the water was shared equally among the hikers, then,
Amount of water each hiker drank = Quantity of water shared ÷ Number of hikers
= 1/2 ÷ 3
Multiply 1/6 by the reciprocal of 3
The reciprocal of 3 = 1/3
1/2 ÷ 3
= 1/2 × 1/3
= (1 * 1) / (2 * 3)
= 1/6
Amount of water each hiker drank = 1/6 gallon of water
Answer:
Sample Response: Draw a square and shade half of it. Then draw 2 lines to divide the square into 3 equal parts. There will be one shaded piece in each group, and there are 6 pieces total, so the answer is 1
6
of a gallon.
Step-by-step explanation:
UwU
Find the distance from third base to first base on a baseball field if the distance between bases is 90 ft. (Round the final answer to the nearest tenth.).
Answer:
pretty sure it’s 35.6
Step-by-step explanation:
A question abouts angles
Answer:
x = 16
Step-by-step explanation:
These are corresponding angles meaning they are equal to each other.
4x + 30 = 94
4x = 64
x = 16
Pleaseee Helpp. If the radius is 21 m and area of sector of the circle are 27.72 m2, calculate the angle at the centre of the circle.
Given:
Radius of a circle = 21 m
Area of a sector of the circle = 27.72 m²
To find:
The angle at the center of the circle.
Solution:
The area of a second is:
[tex]A=\pi r^2\times \dfrac{\theta}{360^\circ}[/tex]
Where, r is the radius of the circle and [tex]\theta[/tex] is the central angle.
Putting [tex]\pi=\dfrac{22}{7},\ r=21,\ A=27.72[/tex] in the above formula, we get
[tex]27.72=\dfrac{22}{7}\times (21)^2\times \dfrac{\theta}{360^\circ}[/tex]
[tex]27.72=1386\times \dfrac{\theta}{360^\circ}[/tex]
[tex]27.72=3.85^\circ \times \theta[/tex]
[tex]\dfrac{27.72}{3.85^\circ }=\theta[/tex]
[tex]7.2^\circ=\theta[/tex]
Therefore, the central angle of the sector is [tex]7.2^\circ[/tex].
In ΔPQR, r = 9 inches, p = 6.6 inches and ∠Q=6°. Find the area of ΔPQR, to the nearest 10th of a square inch
Answer:
2.8 square inches
Step-by-step explanation:
Area of the triangle PQR = 1/2 rp sin <Q
Given
r = 9in
p = 6.6in
<Q =6°
Substitute into the formula;
Area of the triangle PQR = 1/2 * 9 * 6 sin6°
Area of the triangle PQR = 9 * 3 sin6°
Area of the triangle PQR = 27 sin6°
Area of the triangle PQR = 27(0.1045)
Area of the triangle PQR = 2.82
Hence the area to the nearest 10th of a square inch is 2.8 square inches
Answer:
3.104 which is equal to 3.1 it your answer.
Step-by-step explanation:
I did it on DeltaMath
Find the missing angle
Answer:
x = 72.09555249
Step-by-step explanation:
Since this is a right angle, we can use trig functions
tan x = opp / adj
tan x = 65/21
Taking the inverse tan of each side
tan ^-1 ( tan x) = tan ^-1 ( 65/21)
x = 72.09555249
In 2019, Tessa earned $32000. (a) She paid tax of 24% on these earnings. Work out the amount she paid in tax in 2018. [2] (b) In 2020, Tessa's earnings increased by 7%. Work out her earnings in 2020.
Answer:
$7,680
$34,240
Step-by-step explanation:
Amount Tessa earns in 2019 = $32000
a. She paid tax of 24% on these earnings. Work out the amount she paid in tax in 2018.
Percent of tax = 24%
Amount of tax paid = 24% of $32,000
= 24/100 * 32,000
= 0.24 * 32,000
= $7,680
Amount of tax paid = $7,680
b. Tessa's earnings increased by 7%. Work out her earnings in 2020.
Percentage increase in earnings = 7%
Amount of increase in earnings = 7% of $32,000
= 7/100 * 32,000
= 0.07 * 32,000
= $2,240
Amount of increase in earnings = $2,240
Total earnings in 2020 = Amount Tessa earns in 2019 + Amount of increase in earnings
= $32,000 + $2,240
= $34,240
Total earnings in 2020 = $34,240
The equation represents a hyperbola centered at the origin with a focus of (0,-10).
What is the value of b?
4
6
10
12
Answer:
Second option - 6
Explanation:
Trust! (And the image)
I really ope this helped! :)
Megan uses cup of almonds to make 4 cups of trail mix. Using this
same proportion, how many cups of almonds would Megan need to make
9 cups of trail mix?
Write the equations of two lines that are parallel to the line 3x+6y-5=0
Answer:
X+2Y=7 and 4X+8Y=19
Step-by-step explanation:
Step 1: Write the equations in the form y=mx+c, where m represents the gradient.
In this case, gradient is equal to -0.5
Step 2: Now fix arbitrary values on the equation, y=mx+c while maintaining the value of m as - 0.5
You can make endless equations
PLEASEEEE ANSWER THIS IM BEING TIMED AND SHOW YOUR WORK ILL GIVE TOU BRAINLIST IF YOU DO!!!!
Ellus
Find the range of the data.
The ages of people eating
chocolate ice cream at a park.
12, 2, 8, 5, 3, 2,5
Range: [? ]
Enter the number that belongs in the green box.
Answer:
range = 10
Step-by-step explanation:
The range is the difference between the largest and smallest values in the data set.
largest value = 12
smallest value = 2
range = 12 - 2 = 10
How will you calculate it's surface area?
The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.
Please help asap! will give brainliest
Answer:
we have,AD=x cmBC=AD=x cmAB=2AD=2x cmDC=4 cm+AB=(4+2x)cmPerimeter of the trapezium, p=38 cm
The sum of two consecutive numbers is one less than three times the smaller integer. Find the two integers.
Answer:
2 and 3
Step-by-step explanation:
Let us start by representing the first consecutive number with x. In a similar sense, the next consecutive number would be x+1. According to the given question, we can write the following equation:
[tex]x+x+1=3x-1[/tex]
Solving for the equation by isolating the term containing x, we have:
[tex]2x+1=3x-1\\2x+2=3x\\\fbox{x=2}[/tex]
Since we have designated x as the first consecutive integer, the other integer we are looking for is x+1, or [tex]\fbox{3}[/tex] .
I hope this helps! Let me know if you have any questionss :)