Answer:
x = 2
Step-by-step explanation:
5x - 6 = 3x - 2 (the two diagonals bisect each other)
2x = 4
x = 2
Topic: Polygons
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A machine can pack 70 boxes of spaghetti in 5 minutes. At this rate, how
many boxes can they pack in 8 minutes.
Answer:
112 boxes
Step-by-step explanation:
Answer: 112 boxes
Step-by-step explanation: 112 boxes in 8 minutes. To find how many boxes the machine packs per minute, you divide 70 by 5 and you get 14. You then multiply 14 boxes by 8 minutes giving you the product of 112.
A rocket is 1.5miles above the earth in 20 seconds and is 8 miles above the earth in 2 minutes. What is the rockets rate of change in miles per seconds
Given:
A rocket is 1.5 miles above the earth in 20 seconds.
It is 8 miles above the earth in 2 minutes.
To find:
The rockets rate of change in miles per seconds.
Solution:
Let y be the height above the earth after x seconds.
A rocket is 1.5 miles above the earth in 20 seconds. So, the point is (20,1.5).
It is 8 miles above the earth in 2 minutes.
1 minute = 60 seconds
2 minutes = 120 seconds
So, the point is (120,8).
The rockets rate of change in miles per seconds is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{8-1.5}{120-20}[/tex]
[tex]m=\dfrac{6.5}{100}[/tex]
[tex]m=0.065[/tex]
Therefore, the rockets rate of change is 0.065 miles per seconds .
True or False? The blue radius is perpendicular to the green chord.
The statement that the blue radius is perpendicular to the green cord is false
From the complete question,
The blue radius does not bisect the green chord
This means that the blue radius and the green chord do not meet at 90 degrees
Since both lines do not meet at 90 degrees, then they are not perpendicular
Hence, the statement that the blue radius is perpendicular to the green cord is false
Read more about radius and chords at:
https://brainly.com/question/1869643
The population of Luis’s city in 2005 was 7400 and the population in 2010 was 9000. Let x represent the number of years since 2005. Which linear equation, in slope-intercept form, represents the population, y, at a year since 2005, x, where y is in thousands.
Answer:
The linear equation is;
y = 320x + 7400
Step-by-step explanation:
Here, we want to write a linear equation that represents the population y at a year since 2005
To write this, we need points
Initially, we have (0,7400)
Since the difference between 2005 and 2010 is 5, the second point will be (5,9000)
Mathematically, we can get the slope as follows;
m = (y2-y1)/(x2-x1) = (9000-7400)/(5-0) = 1,600/5 = 320
The equation of the line can be represented using the general form as;
y = mx + b
where m is 320 and b is unknown
So we have the equation as;
y = 320x + b
we need to get b
To get b, we can use any point
let us use the point (0,7400)
substituting this;
7400 = 320(0) + c
c = 7400
so the equation is;
y = 320x + 7400
What is the value of the expression 4/7 ÷ 12/21
Answer:
Step-by-step explanation:
[(24÷12)⋅6]+3⋅8÷2
2.Evaluate the expression.
(26÷13)⋅(−7)+14−4
3.Simplify this expression.
9 + 3 × 2
15
21
24
48
4.What is the value of this expression?
6⋅[(32−8)÷4+2]
5.Simplify.
6y+5z+8y−3z
11y + 5z
14y +2z
14y + 8z
16yz
does this help
can sumone do this plzz
Answer:
1. [tex]\frac{x}{15}[/tex] = 0.85
2. x = 12.75
Step-by-step explanation:
First, we do 12 divided by 15, which is 0.80 (80%). The question is asking how much consecutive free throws is needed to raise it to 85%.
So, and equation we make is:
[tex]\frac{x}{15}[/tex] = 0.85, where x represents the number of free throws.
Now, we solve.
Multiply each side by 15 to solve for x.
x = 12.75
12.75 consecutive free throws is needed to raise the percent to 85%.
In the figure below, Angles 1 and 2 are congruent.
If m Z1 = 70°, what is the sum of Angles 3 and 4?
O A. 150°
O B. 140°
O C. 110°
оD 180°
John is 55 inches tall. Shania is 1.1 times taller than John.
Shania’s height is ___
inches.
Answer:
65 inches
Step-by-step explanation:
What is the discriminant of the quadratic equation, 4x^2-8x-5=0
Answer:
Step-by-step explanation:
4x^2-8x-5=0
The discriminant is the number under the √. In this case it's 144
Answer:
[tex]\Delta=144[/tex]
Step-by-step explanation:
For a quadratic in standard form, the discriminant is given by:
[tex]\Delta=b^2-4ac[/tex]
We have the equation:
[tex]4x^2-8x-5=0[/tex]
Hence, our a=4; b=-8; and c=-5.
Substituting into our formula, we acquire:
[tex]\Delta=(-8)^2-4(4)(-5)[/tex]
Evaluate:
[tex]\Delta=64+80[/tex]
Add:
[tex]\Delta=144[/tex]
Therefore, our discriminant is 144.
Notes:
Since our discriminant is a positive value, this tells us that our quadratic has two real roots.
The image of (2,-5) under the translation (X-3.y+6)
Please Help! need a step by step answer will give brainly
Answer:
If I know I will defiantly answer .but where is the question
The property tax on a $60,000 home is $1,500. At this rate what will the property tax be on a home worth $75,000?
Answer:
The answer is $1,875
Step-by-step explanation:
1. I just divided $60,000 by 2 and $1,500 by 2 and got $30,000:$750
2. I realized I needed to do more so I divided again and got $15,000:$375. Next I added it to the question $60,000 + $15,000 = $75,000
3. So then $1,500 + $375 = $1,875
4. $75,000:$1,875
4. Hope this helps :)
Please help
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
A picnic favorite is strawberry Shortcake! Each batch of strawberry
shortcake calls for 1 2/5 pounds of cake and 3/4 pound of strawberries. If
you want to make 5 batches of strawberry shortcake, how many pounds
of cake and strawberries do you need to buy?
To make 5 batches of strawberry shortcake you'll need 7 pounds of cake and 3 3/4 pounds of strawberries for a total sum of 10 3/4 pounds.
Step-by-step explanation:1 - Write an equation to represent the problem
For every batch, it takes 1 2/5 pounds of cake and 3/4 pounds of strawberries
therefore
[tex]Let \\\ n_c = pounds~of~cake \\\n_s = pounds~of~strawberries \\\b = number~of~batches[/tex]
[tex]n_c = 1 \frac{2}{5}b \\\n_s = \frac{3}{4}b[/tex]
For ease of math, lets convert these to decimals
[tex]n_c = 1.4b \\\n_s = 0.75b[/tex]
2 - Plug in your variables to solve for cake and strawberries
Cake
[tex]n_c = 1.4b \\\ n_c = 1.4(5)\\n_c = 7[/tex]
To make 5 batches of strawberry shortcake you will need 7 pounds of cake
Strawberry
[tex]n_s = 0.75b \\\n_s = 0.75(5) \\\n_s = 3.75[/tex]
to make 5 batches of strawberry shortcake you will need 3.75 or 3 3/4 pounds of strawberries --- Totalling in at 10.75 pounds or 10 3/4
Hope this helps :)
what is the answer to this equation below?
x +x = x
what is x?
Answer:
x=0
Step-by-step explanation:
x+x-x=x-x
Answer:
x=0...........................................
ITS MORE THAN ONE QUESTION PLEASE HELP 50 POINTS ITS URGENT
Answer:
what is the question?...
Find the slope of (-1,3) and (2,5)
Answer:
slope should be 3
Step-by-step explanation:
i used my calculator
WILL GIVE BRAINLIEST!! NEED ANSWERS!! Equations. 1. 4x-2-2x-6= -20
2. 3x+2-x+4= -14
3. 5x+6-4x-2=16
4. x+2+x+3=18
5. -2x-4+4x+2= 14
6. -3x= -9
7. -2x = 10
8. x+4 = 16
9. x-2= -15
Answer:
1. x = -6
2. x = -10
3. x = 12
4. x = 13/2 (can be rewritten as 6 1/2 or 6.5)
5. x = 8
6. x = -3
7. x = -5
8. x = 12
9. x = -13
what is p in this situation? if u answer correct ill mark you brainliest.
What would be the slope for a line perpendicular to y = -¼x + 2?
Answer:
m perpendicular= [tex]-\frac{1}{notlinear}[/tex]
Step-by-step explanation:
What fraction is 20 min of 3 hours? Answer in simplest form
Answer:
1/9
Step-by-step explanation:
3. Jonas is riding his bicycle at 18 kilometers per hour, and he has already ridden for 40 kilometers. (6, 148)
Is x greater than less than or equal to 79 degrees?
Answer:
Step-by-step explanation:
it depends on the number X is.How did you find jeff's distance for 3\4 hour?
What is the value of x in the equation 5 x + 3 = 4 x? –3 Negative one-third One-third 3
Answer:
?
Step-by-step explanation:
Answer:
x=-3
Step-by-step explanation:
5 x + 3 = 4 x
5x+3-3=4x-3
5x=4x-3
subtract four from both sides=x=-3
x=-3 is your final answer!
whats the slope to this
Answer:
-14/15
Step-by-step explanation:
2. How much interest is earned on a principal of $200 invested at an interest rate of 9% for eight
years?
Answer:
Answer: 177
Step-by-step explanation:
Select all that apply.
Which of the following are equivalent ratios?
10/15
12/16
8/12
14/21
Answer:
10/15 8/12 14/21
Step-by-step explanation:
Use substitution to solve the system.
x=3y+5
5x-4y=14
______________
x=
y=
Ben drink tea ant an incredible rate
Answer:
??????????????
Step-by-step explanation:
I am not getting the question