Answer:
EH = 10
Step-by-step explanation:
Because F is a midpoint, that means that FG and EF are congruent to each other. So, since FG = 2, that means that EF also equals 2. Because FH also includes FG, you can take the 2 from the FG, and then take that 2 away from 8. Now you know that GH = 6. All that is left is to add all 3 of the units together (2+2+6=10).
Mimi and Rita both plan to run for a spot on the school
board in their city. They must each collect a certain
number of signatures to get their name on the ballot. So
far, Mimi has 30 signatures, but Rita just started and
doesn't have any yet. Mimi is collecting signatures at an
average rate of 8 per hour, while Rita can get 14
signatures every hour. Assuming that their rate of
collection stays the same, eventually the two will have
collected the same number of signatures. How many
signatures will they both have?
Create two tables showing hours and signatures. Write,
graph, and solve a system of equations for this situation.
Explain what your solution means for the situation.
Answer:
The equal number of signatures Mimi and Rita eventually collects are 70 signatures
Step-by-step explanation:
1) The initial number of signatures Mimi has = 30 Signatures
The average rate at which Mimi can collect signatures = 8 signatures per hour
The average rate at which Rita can collect signatures = 14 signatures per hour
The table of values showing the number of signatures Mimi and Rita can have at a given hour is presented as follows;
For Mimi, we have;
Hour [tex]{}[/tex] Number of Signatures
0 [tex]{}[/tex] 30
1 [tex]{}[/tex] 38
2 [tex]{}[/tex] 46
3 [tex]{}[/tex] 54
4 [tex]{}[/tex] 62
5 [tex]{}[/tex] 70
For Rita, we have;
Hour [tex]{}[/tex] Number of Signatures
0 [tex]{}[/tex] 0
1 [tex]{}[/tex] 14
2 [tex]{}[/tex] 28
3 [tex]{}[/tex] 42
4 [tex]{}[/tex] 56
5 [tex]{}[/tex] 70
2) The equation representing the number of signatures Mimi has at a given time, t, is given as follows;
The number of signatures Mimi has = 30 + 8 × t
The equation representing the number of signatures Rita has at a given time, t, is given as follows;
The number of signatures Rita has = 14 × t
3) Please find attached the required graph of the number of signatures Mimi and Rita has
4) The solution if the system of equations is given as follows;
30 + 8 × t = 14 × t
From which we have;
30 = 14 × t - 8 × t = 6 × t
t = 30/6 = 5 Hours
By substituting t = 5 hours in the above equations, the equal number of signature of signatures Mimi and Rita can have is therefore;
30 + 8 × 5 = 70 signatures = (14 × 5) signatures
The equal number of signatures Mimi and Rita eventually collects are 70 signatures
5) The meaning of the solution is that is Mimi and Rita continue collecting signatures at their respective constant rate of 8 and 14 signatures per hour, given that Mimi already has 30 signatures, they will have the same number of 70 signatures after 5 hours
Help me plz!!!!!!!!!!!!
Solve for x: 5 - (x + 5) > -2(x + 4) (1 point)
a
x>-8
Ob
X<-8
oc
x>-18
Od
X<-18
Answer:
x > - 8Step-by-step explanation:
5 - (x + 5) > -2(x + 4)
Expand the terms in the bracket
That's
5 - x - 5 > - 2x - 8
- x > - 2x - 8
Add 2x to both sides
That's
- x + 2x > 2x - 2x - 8
We have the final answer as
x > - 8Hope this helps you
This is a Precal question.
Express the given geometric statement about numbers on the number line algebraically, using absolute values.
x is more than 2 units from c
Answer:
X= 4c The absolute value you can find witht the equation |4c|
Find the midpoint of the segment with the given endpoints
(- 4.7) and (-1,-1)
The midpoint is?
enter in the number below that will make the right expression equivalent to the left expression:
1. 7+2+n=____+n
2. (3+7)+6=____+6
3. 2+(3+7)=2+___
4. 10+2+5=____
5. 7+(-4)+3=____+3
6. -11+8+n=____+n
Help me please!!!!!!!!!!!!!!!
Answer:
The answer is D
Step-by-step explanation:
There are 6 black circles and 2 red circles which could be written as 6 + -2, the positive sign from will turn into a negative bc if the -2, so then it would be 6-2=4
What is the volume of this rectangular prism?
Answer: V≈5.21 cm³
Step-by-step explanation:
To find the volume of a rectangular prism, you multiply the length, width and height.
[tex]V=wlh[/tex]
Since we were given the length, width and height, we can directly multiply them together.
[tex]V=\frac{5}{2} *\frac{5}{3} *\frac{5}{4}[/tex] [multiply]
[tex]V=\frac{125}{24} =5.21 cm^3[/tex]
Now, we know that the volume is approximately 5.21 cm³ or 125/24 cm³.
The number 480 was changed to 4.8 times a
Answer:
100
Step-by-step explanation:
480/4.8=100
4.8x100=480
HELP PLZZZZ
What are the solutions to the system of equations graphed below? Select all
that apply.
Answer:
D(3,0) is correct answer
Caleb needs at least 30 cups for the party he already has 12 cups at least show many more cups does he need
A expression
B equation
C inequality
Write an absolute value equation that has the given solution.
- 2 and 2
Answer:
|4| - 2 = 2
|4| - 6 = -2
Step-by-step explanation:
Suppose f(x)=4x-2 and g(x)=-2x+1. Find the value of f(5)/g(-3)
Answer:
17/7 (2 3/7 or 2. 428571...)
Step-by-step explanation:
f(x) = 4x-2
Find f(5)
f(5) = 4(5)-3f(5) = 20-3f(5) = 17g(x) = -2x+1
Find g(-3)
g(-3) = -2(-3)+1g(-3) = 6+1g(-3) = 7Find f(5)/g(-3)
f(5)/g(-3)17/7 (2 3/7 or 2. 428571...)The value of f(5)/g(-3) will be 18/7.
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The value of the function are,
⇒ f (x) = 4x - 2 and
⇒ g(x) = -2x + 1
Now,
Since, The value of the function are,
⇒ f (x) = 4x - 2 and
⇒ g(x) = -2x + 1
Hence, We get;
⇒ f (5) = 4 × 5 - 2
= 20 - 2
= 18
And, g (- 3) = - 2 × - 3 + 1
⇒ g (-3) = 6 + 1
= 7
Thus, The value of f(5)/g(-3) = 18/7
Learn more about the substitution visit:
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Plz help me I need help
Answer:
c has greatest ratio output with 0.6 compared to other
Step-by-step explanation:
What is the product of (negative 6) (negative 7) (negative 1)?
–42
–14
14
42
Answer:
-42
Explanation:
(-6)(-7) = 42
(42)(-1) = -42
Get a calculator homie.
Answer:its negative 42
3. Find the solution set for this inequality:
-4(3x - 5) < 2(3x + 4)
Answer:
Step-by-step explanation:
x>2/3
.what is .02 divied by .30 please dont show the calculator answer
Answer:
1/15
Step-by-step explanation:
.02 = [tex]\frac{2}{100}[/tex] and .30 = [tex]\frac{3}{10}[/tex]
cross multiply
[tex]\frac{2}{100}[/tex] ÷ [tex]\frac{3}{10}[/tex] = 2(10) ÷ 300
[tex]\frac{20}{300} = \frac{1}{15}[/tex]
Fraction answer: 1/15
Decimal answer: 0.066666666666667
How do you know if a whole number is a perfect square?
A. A whole number is a perfect square if it is divisible by 4.
B. A whole number is a perfect square if its square root is an irrational number.
C. A whole number is a perfect square if it is divisible by 2.
D. A whole number is a perfect square if its square root is a whole number.
3. A $1,250 deposit for 10 years at a simple interest rate of 5.25%
Step-by-step explanation:
I=(pxRxt)/100
I=(1250×5.25×10)/100
I=656.25
amount to be paid is $1906.25 pls give me brainliest
5+1/5x=-1 plz find the answer
Answer:
X= -6/5
Step-by-step explanation:
Multiply to remove the variable from the denominator.
Hope this helps.
Answer:
Step-by-step explanation:
x/5 + 5 = -1
x/5 = -6
x= -30
PLEASE HELP! convert y=1/3x+9 to POINT SLOPE form
Answer:
y-10=1/3(x-3)
Step-by-step explanation:
I really don't want to explain, but tell me if you want an explanation and I will give it
6- X=-12
Will mark brainlest if right!
Answer:
18
Step-by-step explanation:
6-18=-12
\(` u`)/
Answer:
X-18
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 6-x-(-12)=0
Solve : -x+18 = 0
Subtract 18 from both sides of the equation : -x=-18
Multiply both sides of the equation by (-1) : x = 18
The diagram is not drawn to scale
14.
2x-9
Find the value of x.
Answer:Step-by-step explanation:
10
The value of the x is 8 if after using the property of a similar triangle.
What is the similarity law for triangles?
It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
We have a triangle shown in the picture.
By using the property of a similar triangle:
2/1 = 14/(2x-9)
2x - 9 = 7
2x = 7 + 9
2x = 16
x = 8
Thus, the value of the x is 8 if after using the property of a similar triangle.
Learn more about the similarity of triangles here:
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Help ASAP and explain why ?!
Answer:
A
Step-by-step explanation:
The area equal to a square that is 1 centimeter on each side.
Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did. How many video games did Austin sell, given they had the same number of video games left?
Answer:
The answer is 7 video games
Step-by-step explanation:
The number of video games Austin sold will be 4.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did.
Let x be the number of video games sold and y be the number of video games left. Then the equations will be
y = 26 - x
y = 40 - 3x
From equations 1 and 2, then we have
26 - x = 40 - 3x
3x - x = 40 - 26
2x = 14
x = 4
The number of video games Austin sold will be 4.
More about the solution of the equation link is given below.
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The length and width of a rectangle are ( 2x -5) and ( 3 x +4) What is the Perimeter?
Answer:
[tex] \fbox{ \sf{Perimeter \: of \: a \: rectangle = 10x - 2}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \: \: Length \: of \: a \: rectangle ( l ) = (2x - 5) }}[/tex]
[tex] \star{ \sf{ \: Width \: of \: a \: rectangle ( w ) = (3x + 4)}}[/tex]
[tex] \star{ \sf{ \: \: Perimeter \: of \: a \: rectangle = ?}}[/tex]
[tex] \boxed{ \bold{ \sf{Perimeter \: of \: a \: rectangle = 2(l + w)}}}[/tex]
[tex] \hookrightarrow{ \sf{Perimeter \: of \: a \: rectangle = 2(2x - 5 + 3x + 4)}}[/tex]
[tex] \text{Step \: 1 : \: Collect \: like \: term}[/tex]
[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base}[/tex]
[tex] \hookrightarrow{ \sf{2(2x + 3x - 5 + 4)}}[/tex]
[tex] \hookrightarrow{ \sf{2(5x - 5 + 4)}}[/tex]
[tex] \text{Step \: 2 \: : \: Subtract \: 4 \: from \: 5}[/tex]
[tex] \text{Remember !\: : the \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer}[/tex]
[tex] \hookrightarrow{ \sf{2(5x - 1)}}[/tex]
[tex] \text{Step \: 3 \: : \: Distribute \: 2 \: through \: the \: parentheses}[/tex]
[tex] \hookrightarrow{ \sf{2 \times 5x - 2 \times 1}}[/tex]
[tex] \hookrightarrow{ \sf{10x - 2}}[/tex]
[tex] \sf{∴ \: The \: perimeter \: of \: a \: rectangle = 10x - 2}[/tex]
[tex] \text{Hope \: I \: helped !}[/tex]
[tex] \text{Best \: regards ! }[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
Suppose triangle ABC is a right triangle. Side AB is 3 feet and side BC is 4 feet. Find the length of the hypotenuse, AC. Remember Pythagorean Theorem.
A. 25 feet
B. 5 feet
C. 16 feet
D. 4 feet
E. 9 feet
F. 3 feet
Answer:
5
Step-by-step explanation:
3 squared + 4 squared = c squared
3 squared= 9 4 squared= 16
9+16=c squared
25=c squared
5= c
whats the answer to this? A), B),C),D)
resolve in factor x³-16x
Answer:
x (x + 4) (x - 4)
Write an explicit formula for the n^th term a n 13, 17, 21, 25, ...
The first term in our arithmetic sequence = 13
The common difference of our arithmetic sequence = 17 - 13 = 4
The formula for finding an equation for any arithmetic sequence is a(n) = A + B(n - 1)
A = the first term
B = the common difference.
Let's plug our numbers in.
a(n) = 13 + 4(n - 1)
Let's check to make sure we're correct.
a(1) = 13 + 4(1 - 1) = 13 + 4(0) = 13 + 0 = 13
a(2) = 13 + 4(2 - 1) = 13 + 4(1) = 13 + 4 = 17
That verifies that our formula is correct.
In conclusion,
a(n) = 13 + 4(n - 1)