Answer:
y = 235x + 15
Step-by-step explanation:
Equation of a Line
The equation of the line in slope-intercept form is:
y=mx+b
Where:
m = slope
b = y-intercept.
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
We are given 3 points and we must provide the equation of the line that passes through them all in slope-intercept form.
Selecting the points (4,955) and (7,1660) we can calculate the slope of the line by using the formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\displaystyle m=\frac{1660-955}{7-4}=\frac{705}{3}=235[/tex]
Now we use the point-slope equation with the first point (4,955):
y - 955 = 235 ( x - 4 )
Operating:
y - 955 = 235x - 940
y = 235x - 940 + 955
y = 235x + 15
The third point (10,2365) should pass through this line. To verify, substitute:
2365 = 235(10) + 15 = 2350 + 15= 2365
Since the identity is true, the equation is correct:
Answer:
y = 235x + 15
Answer:
A
Step-by-step explanation:
A bag has 7 red marbles 8 blue marbles 5 purple marbles . Racheal draws a marble from the bag without looking
Answer:
Rachel most likely drew a red or blue marble.
8/20 chance of drawing a blue marble.
7/20 chance of drawing a red marble.
5/20 chance if drawing a purple marble.
Answer:
40
Step-by-step explanation:
Absolute value is basically:
A. A number's distance from 0 on a number line
B. The greatest number on a number line
Answer:
A because absolute value doesn't change the actual value of the number, just makes it positive no matter what, but it's still the same distance from 0, just in the opposite direction.
Step-by-step explanation:
Answer:
A : a number distance form 0n the number line
Step-by-step explanation:
ex: if you want to find the absolute value of -4 you would look at the distance from zero so it would be 4 from zero so the absolute of -4 is 4
Consider the enlargement of the pentagon. A small pentagon has a bottom side length of x centimeters and left side length of 7 centimeters. A larger pentagon has a bottom side length of 7 centimeters and left side length of 15 centimeters. Not drawn to scale What is the value of x, rounded to the nearest tenth? 2.1 centimeters 3.3 centimeters 7.0 centimeters 15.0 centimeters
Answer:
[tex]x = 3.3cm[/tex]
Step-by-step explanation:
Given
Shape: Pentagon
Small
[tex]Bottom = x[/tex]
[tex]Left = 7cm[/tex]
Big
[tex]Bottom = 7cm[/tex]
[tex]Left = 15cm[/tex]
Required
Find x
From the question, we understand that the big pentagon is a dilation of the small pentagon.
What this means is that; both pentagons will have the same equivalent ratio.
The equivalent ratio, in this case is calculated using
[tex]Ratio = \frac{Bottom}{Left}[/tex]
For the small pentagon:
[tex]Ratio = \frac{x}{7cm}[/tex]
For the big pentagon:
[tex]Ratio = \frac{7cm}{15cm}[/tex]
Equate both ratios:
[tex]\frac{x}{7cm} = \frac{7cm}{15cm}[/tex]
[tex]\frac{x}{7cm} = \frac{7}{15}[/tex]
Cross multiply
[tex]15 * x = 7cm * 7[/tex]
[tex]15 * x = 49cm[/tex]
Make x the subject
[tex]x = \frac{49cm}{15}[/tex]
[tex]x = 3.267cm[/tex]
[tex]x = 3.3cm[/tex] --- approximated
Answer:
The answer should be 3.3
Step-by-step explanation:
I'm taking the test right now.
6th grade math help me plzzz
Answer:
4. 1/5
Step-by-step explanation:
Is this right???
I give Brainliest !
Answer:
It is right
Step-by-step explanation:
good job whatever your name is! you are very smart
Mark has 10 pens. Kate has 5 times as many pens as Mark. Which equation below answers how many pens Kate has?
Answer:
5m = k or 5(10) = k
Step-by-step explanation:
Let m represent Mark
Let k represent Kate
So, it is 5 times the amount that Mark has, so that is 5m = k
or just simply 5(10) = k
The pens that Kate has is equal to 50
What is an equation in math?In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given here, let mark has x= 10 pens and Kate has 5 times as many pens as Mark then kate would have 5x pens
therefore5x = 5×10
= 50 pens
Hence, The pens that Kate has is equal to 50
Learn more about equations here:
https://brainly.com/question/21835898
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Makayla has 5 yards of ribbon to use for a craft project. She cuts the ribbon into pieces that are yard long.
How many pieces of ribbon does Makayla have?
Answer:
20
Step-by-step explanation:
If she has 5 yards and she cuts them into 1/4 each. You're basically multiplying 5 by 4, and that's 20.
Can someone please help I don’t understand!!!
Which of the following are adjacent angles?
Answer:
c
Step-by-step explana i think its right
Solve the inequality 16
Answer:
I thought I knew how to do this but ig I forgot ill be back in a little with the anwser.
Step-by-step explanation:
If 6% of a number is 1.32 what is the number?
6% of 22 is 1.32
i hope this helps (:
Answer:
To find this number, you must know the conversion rate between percentages and decimals. If 100% = 1, then 6% will equal 0.06. The oppisite of multiplication is division, so instead of multiplying the number my 0.06, you have to divide it which gives you 22. And if you multiply that number by 0.06, you get 1.32.
Hope that helped!
PLEASE HELP THANKS!!!
Answer:
235
Step-by-step explanation:
area of one square=
180
area of other square=
11 times 5 =55
55+180=235
please mark be as brainliest
Answer:
[tex]a=20cm\\b=14cm[/tex]
[tex]a_{1} =11cm\\a_{2}=a-a_{1} =20cm-11cm=9cm\\[/tex]
[tex]b_{1} =9cm\\b_{2}=b-b_{1}=14cm-9cm=5cm[/tex]
[tex]S=S_{1} +S_{2} =154cm^{2}+81cm^{2}=235cm^{2}\\S_{1}=a_{1} *b=11cm*14cm=154cm^{2} \\S_{2} =a_{2} *b_{1} =9cm*9cm=81cm^{2}[/tex]
[tex]S=235cm^{2}[/tex]
Need this very badly
Answer:
B) 800 cm^2
Step-by-step explanation:
A=2(wl+hl+hw)
800 = 2(10x15 + 10x10 + 10x15), which is B
Answer:
800 cm^2
Step-by-step explanation:
What is greater than 4.026
Answer/Step-by-step explanation:
The number 5 is greater than 4.026
Hope this helps!
Answer:
4.027
Step-by-step explanation:
Just add a number to the problem
Jefferson Elementary has a rectangular playground. A scale drawing of the playground is shown below.
10.5 cm
4.2 cm
The shortest side of the playground has an actual length of 33.6 meters.
What is the actual area, in square meters, of the playground?
I'm sorry if I get this wrong, but there isn't enough evidence.
If we think about the shorter side being 4.2 cm, then just divide 33.6 by 4.2 to give it a ratio. 33.6 / 4.2 is 8. The ratio of the scale drawing to the actual playground would be 1 : 8.
The longer side is 10.5, so just multiply that by 8. You'd get 84 meters. The only part left is getting the area.
Multiply 84 x 33.6 and you'd get 2822.4
The answer would be 2,822.4 squared.
Solve the inequality. Graph the solution.
5(9 + 4) > 15
Answer:
barely any pounts, √
Step-by-step explanation:
Marley collects golf balls. His neighbor Tucker collects 3 more than twice as many golf balls as Marley.
Answer:
6
Step-by-step explanation:
Solving Two Step Linear Equations. SHOW YOUR WORK.
1. 9x - 7 = -7
2. -15 = -4m + 5
3. -2x + 4 = -12
4. x/8 + 4 = 3
5. x/7 + 5 = 12
6. 5 = x/-19 - 2
Answer:
1. x=0
2. m=5
3. x=8
4. x=-8
5. x=49
6. x=-133
Step-by-step explanation:
1. 9x=0
2. -20=-4m, 20=4m
3. 2x=16
4. x/8=-1, x=-1x8
5. x/7=7
6. After simplifying: −1/19(x)=7
Hope this helped, I just simplified all the steps for the step by step explanation. Have a great day and stay safe, happy, and healthy!
The diameter of a circle is 2 centimeters. What is the circle's circumference?
Answer:
i wont give you the answer, but i can help you find it.
Step-by-step explanation:
the equation to find the answer is C= 2 x 3.14
At a sale, dresses were sold for $22 each. This price was 55% of a dress original price. How much did a dress originally cost?
Answer:
40
Step-by-step explanation:
Divide: 55/22 = 0.4
Multiply: 0.4 * 100 = 40.
PLEASE HELP AS SOON AS POSSIBLE
Andreas is running a race 13.1 long he already ran 1.1 miles What equation and solution correctly restore send how many miles m Andre's has lag to run
Answer:
okokokokokokokokokolkokokok
Simplify
Topic : Indices
Answer:
[tex] {m}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{ \sqrt{ {m}^{3} } \times {m}^{ \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ { {m}^{ \frac{3}{2} } } \times {m}^{ \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{3}{2} + \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{3}{2} + \frac{2}{3} } }{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{9 + 4}{2 \times 3} }}{ {m}^{ \frac{1}{6} } } \\ \\ = \frac{ {m}^{ \frac{13}{6} }}{ {m}^{ \frac{1}{6} } } \\ \\ = {m}^{ \frac{13}{6} - \frac{1}{6} } \\ \\ = {m}^{ \frac{12}{6} } \\ \\ = {m}^{2} [/tex]
Giving 20 Pts Pls Help ASAP!
Answer: base is 12
Step-by-step explanation:
If 9x - 11= 12, what is the value of 6x ?
Answer:
15.333...
Step-by-step explanation:
9x-11=12
9x-11(+11)=12(+11)
9x=23
23/9x= 2.555...
2.555(6) = 15.333...
The wildflowers began blooming by my house at the beginning of March. The first week there were 72 blooms. After week two, there were 144 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 7 weeks?
Answer:
answer: 504 blooms <3
Step-by-step explanation:
if you add 72 and 72 then you get 144 so that means 72 blooms each week so if you multiply 72 x 7 you get 504!
*ASAP! SHOW WORK, 20 PTS*
You walk 2 miles from your house to the park and 4.5 miles from the park to the lake. Then you return home along a straight path from the lake. How many miles do you walk from the lake back to your house? What is the total distance you walk?
Answer:
Lake to House= ~4.92. Total Length= 11.42 miles
Step-by-step explanation: Lets assume that it is a right triangle .
Your house being the 90 degree angle and the path from the lake to your house being the hypotenuse.
Then to find the lenght you did Pythagorean theorem:
a^2 + b^2 = c^2
a=2mi
b=4.5
(2 * 2) + (4.5 * 4.5) = c^2
24.25= c^2
[tex]\sqrt{24.25}[/tex] = [tex]\sqrt{c^{2} }[/tex]
c = ~4.92
~ means around
Add them up
(12 divided by 3) 2 – (18 divided by 3 2)) < (4 divided by 2)
Answer:
[tex](12 \div 3)(2 - (18 \div 32) \\ = 4(2 - \frac{19}{16} ) \\ = 4( \frac{23}{16} ) \\ = \frac{23}{4} \\ since \: (4 \div 2) = 2 \\ \frac{23}{4} is \: not \: < 2 \: but \: its \: > 2[/tex]
Genesis has 2/3 of her birthday cake left and she wants to share it between 3 of her friends. How much of the original cake will each friend receive? Kaycee says 6/9 Tari says 2/9 Janiyah says 3/9 Who is correct?
Answer:
[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.
Step-by-step explanation:
You know that Genesis has [tex]\frac{2}{3}[/tex] of her birthday cake left and she wants to share it between 3 of her friends.
To determine the amount of original cake that each friend will receive is determined by dividing the [tex]\frac{2}{3}[/tex] of the cake into 3 pieces, which is the number of friends.
[tex]\frac{2}{3}[/tex] ÷3
To divide fractions by natural numbers, the whole is considered as a fraction (that is, over the denominator 1). Then you invert this the second fraction and multiply the fractions. For this, you multiply the numerators of the fractions on one side and multiply the denominators of the fractions on the other. If necessary, you simplify the resulting fraction.
In summary, to divide a fraction by a whole number, all you have to do is convert the whole number to a fraction, find the reciprocal of that fraction, and multiply the result by the first fraction.
In this case:
[tex]\frac{2}{3}[/tex] ÷3= [tex]\frac{2}{3} *\frac{1}{3}=\frac{2*1}{3*3} =\frac{2}{9}[/tex]
[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.
The length of a rectangle is 5 less than 3 times the width. What is the length?
Perimeter = 46 inches
Write an inequality or equation, then solve.
Answer:
Let the width of the Rectangle be x inches
Then, length is (3x-5) inches
Perimeter of the Rectangle= 46 inches (given)
According to the above problem,
Equation :---- Perimeter=2(length+breadth)
2{(3x-5)+x}=46
2(4x-5)=46
(4x-5)=46/2=23
4x=(23+5)=28
x=28/4
x=7
So, length of the Rectangle is {(3×7)-5}=16 inches
and width is= 7 inches
Answer:
So, length of the Rectangle is {(3×7)-5}=16 inches
and width is= 7 inches
Step-by-step explanation: