Answer:
w = 50
Step-by-step explanation:
600 = 12w
600/12 = 12/12w
w = 50
Dexter read 11 science fiction books and 5 history books. Lena read 9 science fiction books and 4 history books. Compare the students' ratios of science fiction books to history books. 1. Determine the ratios' form: science fiction books to history books 2. Write the ratios as fractions: Dexter: 11 5 ; Lena: 9 4 3. Rewrite with a common denominator. 4. Compare. 5. Answer the question. Determine which shows the correct comparison of the ratios for this problem.
Answer:
1. [tex]Dexter = 11:5[/tex] [tex]Lena = 9:4[/tex]
2. [tex]Dexter = \frac{11}{5}[/tex] [tex]Lena = \frac{9}{4}[/tex]
3. [tex]Dexter = \frac{44}{20}[/tex] [tex]Lena = \frac{45}{20}[/tex]
4. [tex]\frac{45}{20} > \frac{44}{20}[/tex]
Step-by-step explanation:
Given
Dexter
[tex]Science\ Fiction = 11[/tex]
[tex]History = 5[/tex]
Lena
[tex]Science\ Fiction = 9[/tex]
[tex]History = 4[/tex]
Solving (1): Write as ratio
Represent Science Fiction with S and History with H
For Dexter;
[tex]Ratio = S : H[/tex]
[tex]Dexter = 11:5[/tex]
[tex]Lena = 9:4[/tex]
Solving (2): Write ratio as fraction
[tex]Fraction = \frac{S}{H}[/tex]
[tex]Dexter = \frac{11}{5}[/tex]
[tex]Lena = \frac{9}{4}[/tex]
Solving (3): Write as a common denominator
[tex]Dexter = \frac{11}{5}[/tex]
Multiply by [tex]\frac{4}{4}[/tex]
[tex]Dexter = \frac{11}{5} * \frac{4}{4}[/tex]
[tex]Dexter = \frac{44}{20}[/tex]
[tex]Lena = \frac{9}{4}[/tex]
Multiply by [tex]\frac{5}{5}[/tex]
[tex]Lena = \frac{9}{4} * \frac{5}{5}[/tex]
[tex]Lena = \frac{45}{20}[/tex]
Solving (4): Compare both fractions
By comparison;
[tex]\frac{45}{20}[/tex] is greater than [tex]\frac{44}{20}[/tex]
So, we have:
[tex]\frac{45}{20} > \frac{44}{20}[/tex]
Answer:
d
Step-by-step explanation:
John is at the grocery store and plans on buying bottles of soda and juice, but is concerned about their sugar content. Each bottle of soda has 25 grams of sugar and each bottle of juice has 10 grams of sugar. How many grams of sugar are there in 4 bottles of soda and 2 bottles of juice? How many grams of sugar are there in ss bottles of soda and jj bottles of juice?
4 bottles of soda and 2 bottles of juice:
s bottles of soda and j bottles of juice:
I give out Crowns!
Answer:
40 sodas
50 juices
that's it
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-7,-6); y=-5x+2
Answer:
The equation in the slope-intercept form is
y = -5x - 41
Step-by-step explanation:
The given equation in the question is;
y = -5x + 2
The equation of a straight line graph can be written in the form;
y = mx + c
where m is the slope and c is the intercept
From here, we can see that the slope m is -5
Since the line is parallel to the new line we are trying to write its equation, it means that they have the same value of intercept.
Hence, the slope of the new line is also -5
Now, we can write the equation of the new line as;
y = -5x + c
we need to get the value of c here however
To get the value of c, we need to input the value of x and y
From the graph, x = -7 and y = -6
Substituting these values, we have;
-6 = -5(-7) + c
-6 = 35 + c
c = -6 -35
c = -41
So the equation of the new line will be;
y = -5x - 41
This grid shows the location of four animals.
Where is Chewy located?
Answer:
We can't see the graph
Step-by-step explanation:
Uhh look at the # points like 123 ya know
Answer:
can't see graph
Step-by-step explanation:
what does 108% of $50 equal
Answer: $54
Step-by-step explanation:
50/100 times 108
= 1/2 times 108
= 108/2
= 54
therefore, 108% of $50 is $54
Answer: 54
Step-by-step explanation: 108% of $50
=50/100 X 108
=1/2 X 108
=54$
Solve -9 2/7 - (-10 3/7)
Answer:
= 8/7
Step-by-step explanation:
-65/7 -( -10 3/7
- 65/7 -( - 73/7)
= -65/7 + 73/7
=8/7
Answer:
1 1/7
Step-by-step explanation:
Answer:
= 8/7
Step-by-step explanation:
-65/7 -( -10 3/7
- 65/7 -( - 73/7)
= -65/7 + 73/7
=8/7 or 1 1/7
what is the equation of the line passing through the points (3,6) and (2,10)
Answer: y= - 4x+18
Step-by-step explanation:
Equation: y=mx+b
***remember: b is the y-intercept and m is the slope.
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
3= x1
2= x2
6= y1
10=y2
m=[tex]\frac{10-6}{2-3}[/tex]= [tex]\frac{4}{1}[/tex]= -4
m=-4
Now we have y=-4x+b , so let's find b.
You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:
(3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.
(2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.
Equation of the line: y=-4x+18
Kayla worked 3x+6 hours this week. She earns x-2 dollars per hour.
Use the drop down below to create a polynomial that represents the amount Kayla earned this week.
the first drop answer choices are
A)2x
B)2x²
C)3x
D)3x²
E)4x
F)4x²
the second drop menu answer choice
A)+
B)-
the third drop menu answer choice
A)4
B)8
9)12
Answer:
3x²-12Step-by-step explanation:
We are going to multiply both equations because we want to found how much she made that week.
(3x + 6)(x - 2)
~Use FOIL
(3x * x) + (3x * -2) + (6 * x) + (6 * -2)
~Simplify
3x² - 6x + 6x - 12
~Combine like terms
3x² - 12
Best of Luck!
3x²
-
12
Step-by-step explanation:
We are going to multiply both equations because we want to found how much she made that week.
(3x + 6)(x - 2)
~Use FOIL
(3x * x) + (3x * -2) + (6 * x) + (6 * -2)
~Simplify
3x² - 6x + 6x - 12
~Combine like terms
3x² - 12
Best of Luck!
Find the value of x. Then find the missing angle measures of the polygon.
5x degree
110 degree
2x degree
Sum of angle measures: 180 degree
Answer:
10
Step-by-step explanation:
Help me please need them by tomorrow
Four lab rats stage a daring escape in broad daylight, eventually establishing a colony behind the laboratory's parking garage. After one month, the population of the colony has risen to eight rats. After two months, the population is sixteen; after three months, thirty-two, and so on. If the pattern continues, how many months will it take for the colony population to reach 1,024 rats?
Answer: 9 months
Step-by-step explanation:
It's a pattern of multiplying by 2.
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
128 x 2 = 256
256 x 2 = 512
512 x 2 = 1,024
Have a good day! <3
Please help me with this!
Calculate and find the slope of the line
Answer:
1
Step-by-step expansion:
ok so this slope is going up at a whole rate of 1
the slope of this graph is 1
Answer:
The slope is just 1. y=x
Step-by-step explanation:
No matter how you look at it, it goes up one over one. Or you could do it the hard way and take two points and do the slope equation but you'll still get one.
Help I need this ASAP
Answer:
-(-1)^2-4(-1) =5
[tex]f(x) = 5[/tex]
Endpoint: (1.-10), midpoint: (6, -6)
Answer:
Step-by-step explanation:
(x + 1)/2 = 6
x + 1 = 12
x = 11
(y -10)/2 = -6
y - 10 = -12
y = -2
(11, -2)
(first answer= brainlest on the spot. {once theres a option} ) 2 1/7+3/7(3x−5)=−4 Drag and drop the statement that shows the solution to the equation into the box. Response area
Answer:
- 14/9Step-by-step explanation:
Note. There is no option of statements to choose.Solving the equation
1/7 + 3/7(3x - 5) = -4Multiplying both sides by 7 to clear fractions
7*1/7 + 7*3/7(3x - 5) = - 7*41 + 3(3x - 5) = -289x - 15 = - 299x = 15 - 299x = - 14x = - 14/9Answer:
x = -14/9
Step-by-step explanation:
1/7 + 3/7(3x - 5) = -4
~Subtract 1/7 to both sides
3/7(3x - 5) = -29/7
~Multiply 7 to both sides
3(3x - 5) = -29
~Simplify left side
9x - 15 = -29
~Add 15 to both sides
9x = -14
~Divide 9 to both sides
x = -14/9
Best of Luck!
Solve proportion solve for c 6/18=4/c
please helpppppp !!!
Answer:
The answer would be A. It is the population PER YEAR, so it would not be C or D because the population change is only negative, and -2,500,000 people/year is way too much. It must be A, -83,333 people/year. Hope I helped!
I'll give who ever answers this question a cookie. I have to turn this in soon and I dont understand this one question someone please help me!
7. D is the midpoint of CE
Prove: D=1/2CE
Answer:
:D
Step-by-step explanation:
Match the letter to definition
isolate, linear equation,like terms, properties of equality
A. terms consisting of the same variables raised to the
same powers
B. the rules that allow the balancing, manipulating, and
solving of equations (e.g., the addition property of equality
states "if x = y, then x + z = y + z")
C. to separate from other substances; to place apart so
as to be alone
D. an algebraic equation with constants and variable
terms of highest degree 1
Answer:
b Linear c isolate A like terms and u know d
Step-by-step explanation:
At the beginning of his science experiment, Bob's solution had a temperature of
–
2°C. During the experiment, the change in the solution's temperature was
–
6°C
Answer:
Its -8
Step-by-step explanation:
Ava turtle is half as old as her parrot in 10 years her turtle will be 3/4 as old as her parrot .write the equation to represent this situation.How old is avas turtle
Answer:
13
Step-by-step explanation:
I think the turtle would be 13 and 1/3 because we know that the turtle is half as old as the parrot. So if we divide 10 by 3/4 we can get how old the turtle is now
The system of the equation is :
[tex]2x=y\\3y-4x=10[/tex]
Thus, the age of the ava's turtle is 5 years.
Given:
Ava's turtle is half as old as her parrot.
The turtle will be 3/4 as old as her parrot in 10 years.
Let us assume the age of the turtle is x years and the age of the parrot is y years.
According to the first statement, the variables can be related as:
[tex]{x}=\dfrac{y}{2}\\2x=y[/tex]
According to the second statement, the variables can be related as:
[tex]\begin{aligned}x+10&=\dfrac{3}{4}(y+10)\\4(x+10)&=3(y+10)\\4x+40&=3y+30\\4x-3y&=-10\\3y-4x&=10\end{aligned}[/tex]
Thus, the system of the equation is :
[tex]2x=y\\3y-4x=10[/tex]
By solving the above system of the equation, we get x=5 and y=10.
Thus, the age of the ava's turtle is 5 years.
To know more about the system of the equation, please refer to the link:
https://brainly.com/question/2146068
List from least to greatest
Answer:
The answer is C
.......
1. Consider the figure below where ZV is parallel to WY.
W
Z
Q
U
Т)
X
113°
95°
S
D
Н.
B
by
Part A: Determine mVHT.
Part B: Determine mZQTS.
Part C: Determine m ZZHQ.
Answer:
Part A:
m∠VHT = 152°
Part B:
m∠QTS = 152°
Part C:
m∠ZHQ = 28°.
Step-by-step explanation:
Part A:
The given parameters are;
m∠HXU = 113°
Segment BQ and segment UD intersect at m∠XAT = 95°
We have that m∠HXU + m∠HXS = 180° (Angles on a straight line)
Therefore;
m∠HXU = 180° - m∠HXS = 180° - 113° = 67°
m∠HXU = 67°
m∠XAT + m∠XAH = 180° (Angles on a straight line)
m∠XAH = 180° - m∠XAT = 180° - 95° = 85°
m∠XAH = 85°
In triangle XAH, we have;
m∠XAH + m∠HXU + m∠XHA = 180° (Angle sum property of a triangle)
∴ m∠XHA = 180° - (m∠XAH + m∠HXU) = 180° - (85° + 67°) = 28°
m∠XHA = 28°
m∠VHT + m∠XHA = 180° (Angles on a straight line)
m∠VHT = 180° - m∠XHA = 180° - 28° = 152°
m∠VHT = 152°
Part B:
m∠QTS ≅ m∠VHT (Corresponding angles are congruent)
∴ m∠QTS = 152° (Substitution property)
Part C:
m∠ZHQ ≅ m∠XHA (Reflexive property)
∴ m∠ZHQ = 28°.
The ages of three brothers are consecutive even integers. Three times the age of the youngest brother exceeds the oldest brother's age by 48 years. What is the age of the youngest brother?
Answer:
28 years
Step-by-step explanation:
youngest brother's age = x
middle brother's age = x+2
oldest brother's age = x+4
3(x-2) = (x+2)+48
[simplify]
3x-6 = x+50
[add 6 to each side]
3x = x+56
[subtract x from each side]
2x = 56
[divide each side by 2]
x = 28
Graph the line that passes through the points (6,−2) and (6,3) and determine the equation of the line.
Anthony wants to purchase an electric guitar. The price of the guitar, with tax, is $599. He can save $25 per
month. How long will it take him to save for the electric guitar?
Answer:
it will take him 24 months to save the guitar
Step-by-step explanation:
enter the number of complex zeros for the polynomial function in the box
f(x)=x^3-96x^2+400
Answer: Your answer would be 3
choose the model that verifies the quotient 1/5 ÷ 5
Answer:The answer is B. Think about it this way, You have five rows, ANd ur trying to divide all five rows into 1/5. So you have to spilt five rows into five sections.. And color in one row because its one out of 5.. ( hope i helped im bad at explaining but hopefully you get what im trying to say) Can i get brainliest pls?
PLEASE HURRY I NEED YOUR HELP! show work
10+(-3 3/8)
1/5+20.3-(-5 3/5)
11/12-(-10)-5/6
Answer:
1) 10
- 3 3/8
________
=6 5/8
2) 1/5= 2/10
2/10
+ 20 3/10
+ 5 6/10
_________
25 11/10
= 26 1/10
3) 11/12
+ 10
- 10/12
________
= 10 1/12
Someone please help me on this one I don’t know if this is correct
Answer:
Can you type the choices please?
pretty sure this is right!