Answer:
The unit rate is:
1/8 turkey/per hour.Step-by-step explanation:
As Chet was eating 1/4 of a turkey every 2 hours.
This tells us that every two hours, Chet will eat 175 1/4 of a turkey.
Unit rate basically means 'how much of something per 1 unit of something else'.A unit rate is a rate with a denominator of 1 unit.
This means, in 1 hour, Chet will eat half of what he eats every 2 hours.
so Chet will eat [tex]\frac{\frac{1}{4}}{2}=\frac{1}{8}[/tex] of a turkey in 1 hour.
i.e.
[tex]\frac{\frac{1}{4}}{2}=\frac{1}{8}[/tex]
Therefore, the unit rate is:
1/8 turkey/per hour.On January 1, 2010, Joline deposits $1000 in a bank account that does not earn interest. For the next 12 months she deposits $25 each month. Then she withdraws $25 each month for the next 12 months. On January 1, 2010, Sofia deposits $1100 in an account that earns 0.25% interest each month.
a. Write two models: one for the amount in Joline's account and one for the amount in Sophia's account. State what the variables in your models represent.
b. In what months and years do the accounts have approximately the same amount, and what are the amounts?
Answer:
$1000 + $25m and $1300 - 25m ;
1100 + 2.75m
2010 (4th month)
2011 ( 7th month)
Step-by-step explanation:
Joline's account :
Initial deposit = $1000
Monthly deposit = $25
Monthly withdrawal = $25
Number of months = 12
Let m = number of month at any point in time
Initial deposit + total deposit
Amount in Joline's account ; first 12 months
$1000 + $25m - - - (1)
Next 12 months :
$1000 + $25 *12 - 25m
1300 - 25m
Sofia's account :
Deposit amount = $1100
Interest per month = 0.25% = 0.0025
1100 + (1100 * 0.0025 * m)
1100 + 2.75m - - (2)
To find the month:
Equate equation 1 and 2, then find m
$1000 + $25m = 1100 + (1100*0.0025*m)
1000 + 25m = 1100 + 2.75m
25m - 2.75m = 1100 - 1000
22.25m = 100
m = 100 / 22.25
m = 4.494
In year 2010, they have approximately the same amount in the fourth month
1300 - 25m = 1100 + 2.75m
1300 - 1100 = 2.75m + 25m
200 = 27.75m
m = 200 / 27.75
m = 7.207
In 2011 ; they have approximately the se amount in the 7th month
Which are the solutions of x2 = -5x + 8?
Answer:
x=
2
−5−
57
=−6.275
x=
2
−5+
57
=1.275
Step-by-step explanation:
-6x + 5xy - 9y - 3x + 7 =....need help again!!sorry
Answer:
=5xy−9x−9y+7
Step-by-step explanation:
Let's simplify step-by-step.
−6x+5xy−9y−3x+7
=−6x+5xy+−9y+−3x+7
Combine Like Terms:
=−6x+5xy+−9y+−3x+7
=(5xy)+(−6x+−3x)+(−9y)+(7)
=5xy+−9x+−9y+7
Answer:
=5xy−9x−9y+7
Max's town voted on a new speed limit. Of the votes received, 576 were in favor of the new speed limit and 64 were opposed. What percentage of the votes were in favor of the new speed limit?
9 I think that the Answer so if not delet this Answer
passes through the points (−4, 2) and (12, 6)?
I'll assume you need to find the equation of the line that passes through those points.
Answer:
[tex]\displaystyle y-2=\frac{1}{4}(x+4)[/tex]
Step-by-step explanation:
Equation of a Line:
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The given points are (-4,2) and (12,6), thus:
[tex]\displaystyle y-2=\frac{6-2}{12+4}(x+4)[/tex]
Operating:
[tex]\displaystyle y-2=\frac{4}{16}(x+4)[/tex]
Simplifying, the equation in point-slope form is:
[tex]\mathbf{\displaystyle y-2=\frac{1}{4}(x+4)}[/tex]
Find the equation of the line that passes through points a and b.
Please help, will award brainliest.
PLEASE HELP!!
Graph the function:
g(x)=(x-1)(x+2)(x-2)
Answer:
See the picture below. I just used Desmos.
On a number line ,4.1 would be located. choose all answers that make a true statement.
A. To the right of 4.5
B. between 5 and 6
C. to the left of 4.19
D. To the left of 4.4
Help me plz
Answer:
D
Step-by-step explanation:
HELP PLS
What is the domain of the function y= Vx+6 -7?
x²-7
X-6
x26
x7
The domain of the function is [ - 6 , ∞ ]
What is range & domain?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
here, we have,
A radical function is the one provided.
It should be noted that a radical function can only be specified for values that will result in the radicand being larger than or equal to zero.
As a result, either the radicand of the provided function must be larger than or equal to zero, or:
Thus we can write it as
x + 6 ≥ 0
subtract 6 from both LHS and RHS
x + 6 - 6 ≥ 0 - 6
x ≥ - 6
Therefore the domain of the function is [ - 6 , ∞ ]
To know more about domain and function you may visit the link which is mentioned below:
brainly.com/question/13113489
#SPJ7
Solve each equation:
5x=1
Answer:
5x=1
Step-by-step explanation:
51
HELP PLEASE ILL GIVE U 26 POINTS
Christo graphs AB with endpoints A( -3, -2 ) and B ( -1, -2 ) what are the endpoints of the image after a reflection of AB across the x axis?
1. (-3,2) and (-1,2)
2.(-3.-2) and (-1,-2)
3. (1,-2) and (3,-2)
4. (2,3) and (2,1)
5. none of the above
Answer:
1. (-3,2) and (-1,2)
Step-by-step explanation:
Reflection over x axis results in change y-coordinates to opposite sign and x-coordinates remain as is
So the coordinates become:
A(-3, -2) → A'(-3, 2)B(-1, -2) → B'(-1, 2)Correct option is the first one
How do i write an equation in slope intercept form if they give you the slope and what it has to pass through. I totally forgot how to do this
Answer:
y=mx+b
Step-by-step explanation:
The m=slope. The x is just there, and the b=the line it passes through
BRAINLIEST PLS
-|-2-3(6)| evaluation
Answer:
-20
Step-by-step explanation:
What is the first step in simplifying the following expression?
(((4+7) -2)^2 *4 -1 ÷2)
Your answer:
1÷2
2^2
2*4
(4+7)
(helppp!)
According to BODMAS rule...
We would first solve...
Bracket i.e.(4+7)
hi i have dis questioonnnnn plz help ;-;
Answer:
Step-by-step explanation:
10+W=25
Answer:
The First Part would be B and for the W= would be 15 since
25 = 10 + 15, it would also be B because of the order of the numbers.
You could also rewrite it as 10 + 15 = 25.
Step-by-step explanation:
Patrick paid $12 for
25 pounds of candy.
How much did each
pound of candy cost?
Answer:
48 cents each pound
Step-by-step explanation:
Divide $12 by 25 pounds.
12÷25=0.48
Write a function rule for the area of a rectangle whose length is 5in. more than its width. what is the area of the rectangle when its width is 8in.?
Answer:
40in^2
Step-by-step explanation:
Divide £42 in the ratio 1:5
Answer:
This Ratio Division Calculator allows you to divide an amount by a specific ratio (with multiple ratio values, for example 2:5:9:11:18, click on the "Example" buttons for ratio division examples), if you are new to ratio division or want to understand the formulas used in ratio division you should use our Divide Ratio Calculator as this ratio division calculator assumes you already understand the basics of ratio division, you may also find our Equivalent Ratio Calculator useful. A ratio is a numerical comparison of 2 or more quantities and indicate the relative size of each quantity. Ratios are used in a number of daily activities and business markets, the Ratio Division Calculator can be used to divide a specific ratio, you can also access additional Ratio Calculators for application in math, engineering and other every day scenarios.
Step-by-step explanation:
d = c × b a ,
d = 3 × 8 4 = 6
If we divide £42 in the ratio of 1:5 so it comes 7 and 35.
Given that,
The number is £42.The given ratio is 1:5.We need to divide the above number in the given ratio.Based on the above information, the calculation is as follows:
[tex]= 42 \times 1 \div (1 + 5)[/tex]
= 7
And
[tex]= 42 \times 5 \div (1 + 5)[/tex]
= 35
Therefore we can conclude that If we divide £42 in the ratio of 1:5 so it comes 7 and 35.
Learn more: brainly.com/question/13549064
Need help please help.
What are the answers for this and please explain thank you.
please help on either of these questions, im lost. :((
Answer:
2. I think is 5
Step-by-step explanation:
Answer : The answer to the second question is -5. Option A.
I'm confused about what the first question means.
1.Find the area of a trapezium with parallel sides of
length 15 cm & 7 cm. The perpendicular distance
between the parallel sides is 6.8 cm.
Answer:
The area of the trapezium is [tex]74.8\ cm^2[/tex]
Step-by-step explanation:
Area of a trapezium:
[tex]\displaystyle A=\frac{b1+b2}{2}h[/tex]
This formula is valid if b1 and b2 are parallel and h is perpendicular to both.
Since the trapezium given in the problem satisfies those conditions, we use the formula with:
b1=15 cm
b2=7 cm
h=6.8 cm
[tex]\displaystyle A=\frac{15+7}{2}\cdot 6.8[/tex]
[tex]A=74.8\ cm^2[/tex]
The area of the trapezium is [tex]74.8\ cm^2[/tex]
The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression 2.75 + 0.10x, where x is the number of years since 1980.Which parts of the expression correspond to the cost of movie tickets in 1980 and the increase in price per year? Choose the correct value for each part below. Part A: The cost of movie tickets in 1980 is represented by
Answer:
[tex]2.75,\ 0.1x[/tex]
[tex]2.75[/tex]
Step-by-step explanation:
In the expression [tex]2.75+0.1x[/tex] the number [tex]2.75[/tex] represents the cost of a movie ticket in 1980 and [tex]x[/tex] represents the years after 1980. So increase per year is represented by [tex]0.1x[/tex].
If the cost of the ticket in 1982 is needed that means 2 years have passed after 1980, [tex]x[/tex] will be [tex]2[/tex].
In 1980, zero years have passed so, [tex]x=0[/tex]
Therefore the cost of movie tickets is represented by [tex]2.75+0.1\times 0=2.75[/tex]
If two gallons of gas cost $5.40, how many gallons can be purchased for $13.50?
Answer:
5 gallons because 13.5 divided by 5.4 is 2. 5 so times 2 so 5
Answer:
5 gallons.
Step-by-step explanation:
two gallons=$5.40
? gallons=$13.50
you cross multiply
2 × $13.50÷$5.40
27÷5.40=5 gallons
The image point of A after a translation right 2 units and down 1 unit is the point B (10,−1). Determine the coordinates of the pre-image point A.
Answer:
pre image point A (8,0)
Step-by-step explanation:
I guess thats the answer
A = (x, y)
After a translation right 2 units and down 1 unit is the point B (10, -1)
A = (x + 2, y - 1)
B = (10, -1)
A = B
x + 2, y - 1 = 10, -1
x, y = 10 - 2, -1 + 1
x, y = 8, 0
(x, y) = (8, 0)
The coordinates of pre-image point A is (8, 0)
Please help me with this
[tex]\rm\blue{Answer:}[/tex]
x = 70°
Explanation :
To find : Value of x
Here, given angles are :
35°, 75° and x
Knowledge Required to solve it :
The sum of all the angles of a triangle is 180°.
Now,
35°+75°+x=180°
⇒110°+x=180°
⇒x=180°-110°
⇒x=70°
.°. x=70°
Need help ASAP!! Write an informal proof to show triangles ABC and DEF are similar.
Answer:
Δ ABC and Δ DEF are similar because their corresponding sides are proportional
Step-by-step explanation:
Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios
In the two triangles ABC and DEF
∵ AB = 4 units
∵ DE = 2 units
∴ [tex]\frac{AB}{DE}=\frac{4}{2}=2[/tex]
∵ BC = 6 units
∵ EF = 3 units
∴ [tex]\frac{BC}{EF}=\frac{6}{3}=2[/tex]
∵ CA = 2 units
∵ FD = 1 units
∴ [tex]\frac{CA}{FD}=\frac{2}{1}=2[/tex]
∴ [tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{CA}{FD}=2[/tex]
∵ All the ratios of the corresponding sides are equal
∴ The corresponding sides of the two triangles are proportional
∴ Δ ABC is similar to Δ DEF
Write the following number in
scientific notation.
0.05796
[? ] [ ]
Answer:
= 5.796 × 10^-2
(scientific notation)
= 5.796e-2
(scientific e notation)
Step-by-step explanation:
Answer:5.796 x 10- 2
Step-by-step explanation:Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
What number should be placed in the box to help complete the division calculation? Long division setup showing an incomplete calculation. 16 is in the divisor, 3426 is in the dividend, and 2 hundreds and 1 tens is written in the quotient. 3200 is subtracted from 3426 to give 226. An unknown value represented by a box is being subtracted from 226.
Answer:
The unknown value is being subtracted from 226 is 160
Step-by-step explanation:
Long division setup showing an incomplete calculation
16 is in the divisor 3426 is in the dividend 2 hundreds and 1 tens is written in the quotient 3200 is subtracted from 3426 to give 226 An unknown value represented by a box is being subtracted from 226so,
The dividend = 3426
The divisor = 16
2 hundreds means 200 and 1 tens means 10
∵ The quotient = 200 + 10 + x
∵ Dividend = divisor × quotient
∴ (16 × 200) + (16 × 10) + (16 × x) +remainder = 3426
∵ 16 × 200 = 3200
Subtract 3200 from the dividend
∴ 3426 - 3200 = 226
∵ 16 × 10 = 160
∴ 226- 160 = 66
⇒160is the unknown value
∵ 16 × x = 16x
∵ 66 - 16x = 0
∴ 66 = 16x
- Divide both sides by 16
∴ x = 4 and remainder = 2
∴ 3426 ÷ 16 = 200 + 10 + 4
∴ 3426 ÷ 16 = 214
∴ From the steps above the missing number subtracted from
226 is 160
The unknown value is being subtracted from 226 is 160
8b + 5 + 4 = -23
Need ASAP
Answer: b= -4
Step-by-step explanation:
PLS
SOLVE !!!!
I WILL MARK THE BRAINLIEST
Answer:
A is two; B is nine; C is one
Good Luck!
a) C has to be either one or zero (but I'm assuming the solution you're wanting is when C=1). This is because A+B + Whatever is carried can only be a number 0-19, meaning only a 1 can be carried to the third column.
b) if C is 1, then in the ones place, B+A must = 11
c) if the carried 1 + a + b = 10 + a, then a can be substituted and we find that b = 9; and a =2