Answer:
3(19/20x)+ 4
Step-by-step explanation:
Three lemon cookies and two fudge cookies have a total of 400 calories. Two lemon cookies and three fudge cookies have a total of 425 calories. How many calories are in each kind of cookie?
Answer:
lemon cremes contain 70 calories. fudge cookies contains 95 calories
Step-by-step explanation:
Let x represent the amount of calories in lemon cremes.
Let y represent the amount of calories in fudge cookies.
Three lemon cremes plus two fudge cookies have 400 calories. This means that
3x + 2y = 400 - - - - - -- - - - -1
Two lemon cremes plus three fudge cookies have 425 calories. This means that
2x + 3y = 425- - - - -- - - - - - 2
Multiplying equation 1 by 2 and equation 2 by 3, it becomes
6x + 4y = 800
6x +9y = 1275
Subtracting,
-5y = - 475
y = - 475/- 5
y = 95
Substituting y = 95 into equation 1, it becomes
3x + 2×95 = 400
3x = 400 - 190 = 210
x = 210/3 = 70
x = 70
A rectangle is dilated by a scale factor of n = 1. Which statement is true regarding the image of the dilation?
A. The image will be smaller than the pre-image because n = 1.
B. The image will be congruent to the pre-image because n = 1.
C. The image will be larger than the pre-image because n = 1.
D. The image will be a triangle because n = 1.
Answer:
the answer is B
Step-by-step explanation:
A scale factor is defined as the ratio between the scale of a given original object and a new object.
The image will be congruent to the pre-image because n = 1.
Option B is the correct answer.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object.
We have,
A rectangle is dilated by a scale factor of n = 1.
This means that there is no change in the rectangle.
When the pre-image is the same as the image formed the scale factor is one.
The preimage is the original shape.
The image is the final image after dilation.
So,
The image will be congruent to the pre-image because n = 1.
Thus,
The image will be congruent to the pre-image because n = 1.
Option B is the correct answer.
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Mike's plumbing charges 22 for coming to your house and 17 per hour for labor . If I paid him 311 , how many hours,h, was mike at my house write and solve an equation that is represented in this scenario.
In April, Francis had math homework 18 out of the 30 days in the month. Which value is equivalent to the fraction of days she had math homework?
Answer:
Step-by-step explanation:
You didn't give the options but let me try help out.
From the question, we are informed that Francis had math homework 18 out of the 30 days in the month.
For us to get the value that is equivalent to the fraction of days she had math homework, we can reduce the fraction to its lowest term. Therefore,
18/30 = 2/5
2/5 is an equivalent fraction.
If Chris paid $450 for a television that was 75% of the original price, what was the original price?
Answer:
$787.50
Step-by-step explanation:
[tex] \frac{75}{100} \times 450 =337.50[/tex]
[tex]337.50 + 450 = 787.50[/tex]
i think this is the answer
Answer:
$600 is the original price
Step-by-step explanation:
Write the equation for the line in point slope form that passes through (-2,3) and has a slope of 4.
Answer:
y-3=4(x+2)
Step-by-step explanation:
Once you know how the point slope form equation is laid out this question is actually quite easy. Point slope form looks like this
y-y2=slope(x-x2)
I put the y in the front and the slope (4) comes after the equal sign. Then x is subtracted from x. But I put a plus sign because when you subtract a negative number, it is the same as adding a negative number. This is why the ending part of the equation is (x+2) instead of (x--2). Hopefully this makes sense...
During the 2009-2010 season, inter milan of the Italian series A scored 82 points on 38 rounds. For each round of the game, the winning team would receive 3 points, while the losing team would get 0 points. But if the game ends up in a tie, each team would get 1 point. Inter Milan won 20 more rounds than they lost. Use a matrix to find how many of each type of shot they made
Answer:
Inter milan had 24 wins, 10 draws and 4 losses.
Step-by-step explanation:
Let n₁ = number of wins, n₂ = number of draws and n₃ = number of number of losses. Let W = win points = 3, L = loss points = 0 and D = draw points = 1 Since we have our total number of points a 82, then
n₁W + n₂D + n₃L = 82
3n₁ + n₂ + 0n₃ = 82 (1)
Also, since there are 38 points in total, we have that
n₁ + n₂ + n₃ = 38 (2)
Also, we have 20 more win points than loss points. So,
n₁ = n₃ + 20
n₁ + 0n₂ - n₃ = 20 (3)
We have 3 equations. We now write them in matrix form below.
[tex]\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right] \left[\begin{array}{ccc}n_{1} \\n_{2}\\n_{3}\end{array}\right] = \left[\begin{array}{ccc}82 \\38\\20\end{array}\right][/tex]
In the form AX = B, where A =
[tex]A =\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right] , X =\left[\begin{array}{ccc}n_{1} \\n_{2}\\n_{3}\end{array}\right] and B= \left[\begin{array}{ccc}82 \\38\\20\end{array}\right][/tex]
Using cramer's rule, n₁ =
[tex]det\left[\begin{array}{ccc}82&1&0\\38&1&1\\20&0&-1\end{array}\right] /det\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right][/tex]
= 82((-1 × 1) - 0 × 1) - 1((38 × -1)- (20 × 1)) + 0((38 × 0) - 20 × 1) ÷ 3((-1 × 1) - 0 × 1) - 1((-1 × 1) - 1 × 1) + 0(1 × 0 + 1 × 1)
= (-82 + 58 + 0)/(-3 + 2 + 0)
= -24/-1
= 24
n₂ =
[tex]det\left[\begin{array}{ccc}3&82&0\\1&38&1\\1&20&-1\end{array}\right] /det\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right][/tex]
= 3((38 × -1)- (20 × -1)) - 82((-1 × 1) - 1 × 1) + 0(20 × 1 - (38 × 1) ) ÷ 3((-1 × 1) - 0 × 1) - 1((-1 × 1) - 1 × 1) + 0(1 × 0 + 1 × 1)
= (-174 + 164 + 0)/(-3 + 2 + 0)
= -10/-1
= 10
n₃ =
[tex]det\left[\begin{array}{ccc}3&1&82\\1&1&38\\1&0&20\end{array}\right] /det\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right][/tex]
= 3((1 × 20)- (0 × 38)) - 1((1 × 20) - 1 × 38) + 82(1 × 0 - (1 × 1) ) ÷ 3((-1 × 1) - 0 × 1) - 1((-1 × 1) - 1 × 1) + 0(1 × 0 + 1 × 1)
= (60 + 18 - 82)/(-3 + 2 + 0)
= -4/-1
= 4
So, Inter milan had 24 wins, 10 draws and 4 losses.
PLZ HELP THIS IS DUE TOMORROW 20 POINTS IF CORRECT!!!! Find the sales tax. Then find the total cost of the item.
Answer:
20
Step-by-step explanation:
(Please Help and do both parts Will give Brainliest)
Answer:
15.625
Step-by-step explanation:
It's a ratio, just divide 192(Box A volume) by 8(Box A length) to get a third number(24) you then use that number to divide Box B's volume. 375/24 is 15.625
Answer:
it equals 10
Step-by-step explanation:
**Solve for f(10).
f(10) = -x - 5
Find the slope of the line passing through points (2,4) and (7,2)
Susanna deposits $400 in a savings account with an interest rate of 3% compounded annually. What equation could Susanna use to calculate
how many years it will take for the value of the account to reach $600?
The equation that Susanna could use to calculate how long it would take for the account to reach a value of $600 is 600=400(1.03)^x.
How is future value found?Future value is calculated as:
= Amount x (1 + rate) ^ number of years
If the number of years is to be found and the future value is already known, then the number of years can be x:
600 = 400 x (1 + 3%) ^ number of years
600 = 400(1.03)^x
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What would be the slope, zero, and the y-int of y = 1/2x -1
Answer:
slope=1/2, y-int=-1
Step-by-step explanation:
y=mx+b
m=1/2
b=-1
A graph has age (weeks) on the x-axis, and height (inches) on the y-axis. Points are grouped closely together and increase slightly.
Describe the relationship between the variables.
There is no relationship between the variables.
As the age increases, the height increases.
As the age increases, the height decreases.
As the height decreases, the age decreases.
Answer:
the correct answer is B because if you look at the graph you will see that both are increasing so the answer is as the age increases the height increases
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A ladder leans up against a wall and makes a 60 degree angle with the ground. If it reaches 90 ft. up the wall, how long is the ladder? Round to the nearest tenth
Answer:
The length is approximately 103.92 ft
Step-by-step explanation:
The angle the given ladder makes with the ground = 60°
The height to which the ladder reaches. h = 90 ft.
Assumption;
The angle formed between the wall and ground = 90°
The shape formed by the length, l, of the ladder the height to which the ladder reaches on the wall, h, and the ground, b, is a right triangle, with the length, l, of the ladder facing the 90° angle and the height, h, facing the 60° angle.
By sine rule, we have;
l/sin(90°) = h/sin(60°)
Therefore, the length l = sin(90°) × h/sin(60°) = 1 × 90/(sin(60°)) = 90/((√3)/2) = 2 × 90/√3 ≈ 103.92
The length, l ≈ 103.92 ft.
-(4+m)+2=m what is m
Answer:
m=-1
Step-by-step explanation:
-(4+m)+2=m
-2-m=m
-2=2m
m=-1
The line contains points (3, 5) and (-3, 0). what is the slope intercept form
I don’t understand this I’m looking for x,y and z and explain it to me pls
Step-by-step explanation:
2x + 90 + x = 180
Subtract 90 from both sides
you get 3x = 90
Devide
[tex] \frac{3x}{3} = \frac{90}{3} \\ x = 30[/tex]
Please I need help?
Answer:
235
Step-by-step explanation:
A snack mix recepie uses a radio of 3/4 pud of dried apple to 1/2pound of dried pairs.
Answer:
Amount to be needed = 3/8
Step-by-step explanation:3/4 pound of dried apples to 1/2 pound of pears
3/4 : 1/2
Amount of dried apples to be needed per pound of dried pears = ??
Therefore, 3/4×1/2 = 3/8
What is the equation of the line that is perpendicular to 2x + 4y = 1 and that passes through the point (6,8)?
Answer:
2x - y = 4
Step-by-step explanation:
The base line is 2x + 4y = 1. To obtain a general formula for lines perpendicular to this "standard form" equation, interchange and y and replace the '1' with 'C:'
2y - 4x = C
Since the line in question passes through the point (6, 8), we substitute 8 for y and 6 for x, obtaining:
2(8) - 4(6) = C. Then C = 16 - 24, or = -8.
The desired equation is
2y - 4x = -8, or
4x - 2y = 8, or (after reduction)
2x - y = 4
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Answer:
61.92
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Answer:
61.92
Step-by-step explanation:
please help D: a. B. C. D?
Answer:
D
Step-by-step explanation:
Answer:
d. y = 4 - 3x
Step-by-step explanation:
Slope is x, therefore -3x is slope and 4 is the y-int
hope this helps :)
A worker is taking cases of screws on a lift. Each case weighs 47 pounds and the worker weighs 182 pounds. the lift
has a weight limit of 2700 pounds Write an inequality that describes the number of cases he can safely take on each
trip. What is the maximum amount of cases he can take?
Answer:
a) The inequality representing the number of cases he can take =
180 + 47c ≤ 2700
b) 53 cases
Step-by-step explanation:
A worker is taking cases of screws on a lift. Each case weighs 47 pounds and the worker weighs 182 pounds. the lift
has a weight limit of 2700 pounds
a) Write an inequality that describes the number of cases he can safely take on each trip.
Let us represent the number of cases as c
hence,
180 + 47 × c ≤ 2700
= 180 + 47c ≤ 2700
b) What is the maximum amount of cases he can take?
The maximum amount of cases he can take =
180 + 47c ≤ 2700
180 + 47c = 2700
Collect like terms
47c = 2700 - 180
47c = 2520
c = 2520/47
c = 53.617021277 cases
c = 53 cases
The maximum number of cases he can carry is 53 cases
If 60% of the students in your class like Burger King, how many students are in your class if 15 students like Burger King?
Answer:
60. 15
---- = ------ x=25
100. x
Find the midpoint of (-3, -2) and (5, -2).
The opening under a bridge is in the shape of a semielliptical arch and has a span of 82 feet. The height of the arch, at a distance of 9 feet from the center, is 28 feet. Find the height of the arch at its center. Hint: let the center of the horizontal span be (0, 0).
Answer:
28.7 feet
Step-by-step explanation:
The equation of a parabola is in the form:
[tex]\frac{x^2}{a^2}+ \frac{y^2}{b^2}=1\\ \\where\ (\pm a,0)=major\ axis,(0,\pm b)=minor\ axis[/tex]
The bridge can be represented as:
Since the width of the bridge is 82 feet, therefore 2a = 82, a = 41
[tex]\frac{x^2}{41^2} +\frac{y^2}{b^2}=0\\ \\The\ point\ (9,28)\ lie\ on \ the\ ellipse\ hence\ substituting:\\\\\frac{9^2}{41^2} +\frac{28^2}{b^2}=1\\\\0.048+\frac{28^2}{b^2}=1\\\\\frac{28^2}{b^2}=1-0.048=0.952\\\\b^2=824\\\\b=\sqrt{824}\\ \\b=28.7 \\\\[/tex]
The arch is 28.7 feet from its center
what is the answer to y=-x+8
Answer:
HI
Step-by-step explanation:
HI
Ted has two boards. The length of the second board is five inches more than two times the length of the first board. The total length of the two boards is 65 inches.
How many inches long is the first board?
Answer:
Length of the first board is 20 inches.
Step-by-step explanation:
Let the length of first board is x and that of second board is five inches more than two times the length of the first board.
Length of second board = 5+2x
Total length of two boards is 65 inches
ATQ,
x+5+2x=65
3x+5=65
Taking like terms together,
3x=65-5
3x=60
x = 20
So, the length of the first board is 20 inches.
What is 3 In 3 - In 9 expresses as a single natural logarithm?
Answer: 9in - 9in
Step-by-step explanation: I believe the answer is 9in - 9in because 3in3 -in9 = 3in x 3 - in x 9 = 0 which comes out to 9in - 9in