Answer:
x = 1/5, y = 6
Step-by-step explanation:
5x + y = 7
y = 7 - 5x
Set equations equal to each other to eliminate y
7 - 5x = 20x + 2
7 = 25x + 2
5 = 25x
x = 1/5
y = 7 - 5(1/5)
y = 7 - 1
y = 6
What is true about the rise of all horizontal lines ?the rise is
Answer:
left to right
Step-by-step explanation:
Answer:
the slope is 0
Step-by-step explanation:
i know this because i asked a math teacher
у = 3х – 2
y = — 2х +8
How do I solve it by graphing?
Colton is making gift bags. He has 120 small prizes, and puts 3 in each gift bag. He also has 75 larger prizes,and puts 2 in each gift bag. Write the function f(x) that represents how many prizes Colton has left aftermaking x gift bags.
Answer: f(x) = 195 - x*5
Step-by-step explanation:
Colton has 120 small prizes and 75 larger prizes.
Then at the start, he has 120 + 75 = 195 prizes.
In each bag, he puts 3 small prizes and 2 larger prizes, then in each bag there are 3 + 2 = 5 prizes.
Then if he fills x bags, he will have: x*5 fewer prizes, then we can write the equation f(x) as:
f(x) = 195 - x*5
Where when x = 0, this means that he filled zero bags, then he has the initial amount of prizes, 195.
Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. • The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. • The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. • The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number
Answer:
The answer is below
Step-by-step explanation:
Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. • The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. • The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. • The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number from coop D. How many eggs did each coop produce
Solution:
a) Let the number of eggs from coop A be w, number of eggs from coop B be x, number of eggs from coop C be y and number of eggs from coop D be z.
x = 2/5(w - 10) (1)
y = (3(w + 3) - 4)/4
y = (3w + 5) / 4 (2)
z = 2(w + 7)/3 (3)
b) Given that w = 125 eggs:
x = 2/5(125 - 10) = 46 eggs
y = (3(125) + 5) / 4 = 95 eggs
z = 2(125 + 7)/3 = 88 eggs
c) x + y = z + 24.
i.e. 2/5(w - 10) + (3w + 5)/ 4 = 2(w + 7)/3 + 24
multiply through by 60:
24w - 240 + 45w + 75 = 40w + 280 + 1440
69w - 165 = 40w + 1580
29w = 1885
w = 65 eggs
x = 2/5(65 - 10) = 22 eggs
y = (3(65) + 5) / 4 = 50 eggs
z = 2(65 + 7)/3 = 48 eggs
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
Answer:
9.8 because of the rate that is given
Step-by-step explanation:
Which function is quadratic?
Function f is defined by f(x) = 1.5^x. Function g is defined by g(x) = 500x^2 + 345x
1. Function f
2. Function g
Answer:
g(x) is a quadratic function ⇒ 2
Step-by-step explanation:
The quadratic function is the function that has 2 as the greatest power of the variable The form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constantLet us use the information above to solve the question
∵ f(x) = [tex]1.5^{x}[/tex]
∵ x is the exponent of the base 1.5
→ That means f(x) is not in the form of the quadratic function
∴ f(x) is not in the form of the quadratic function above
∴ f(x) does not represent a quadratic function
∴ f(x) is not a quadratic function
∵ g(x) = 500x² + 345x
∴ The greatest power of x is 2
→ That means g(x) is in the form of the quadratic function above
∵ g(x) is in the form of the quadratic function above, where a = 500,
b = 345, and c = 0 (constant values)
∴ g(x) represents a quadratic function
∴ g(x) is a quadratic function
Amelia started a puzzle at 12:56 p.m. and solved it at 2:33 p.m.
How long did it take Amelia to solve the puzzle?
Step-by-step explanation:
12:56pm to 1:00pm = 4 min
1:00pm to 2:00pm = 1 hour
2:00pm to 2:33pm = 33 min
Total time = 4 min + 1 hour + 33 min = 1 hour 37 minutes.
Solve for x 2x-10=4x
Answer:-5
Step-by-step explanation:
2x-10=4x
-10=2x (subtract 2x from both sides)
-10/2=x (divide both sides by 2)
-5=x
Use the picture below to answer questions 14a and 14b
14a) What is the value of x?
14b) What is the measure, in degrees, of angle BDE?
Answer:
x = 35, ∠ BDE = 130°
Step-by-step explanation:
(4x - 10) and (x + 95) are corresponding angles and are congruent, then
4x - 10 = x + 95 ( subtract x from both sides )
3x - 10 = 95 ( add 10 to both sides )
3x = 105 ( divide both sides by 3 )
x = 35
Thus
∠ BDE = 4x - 10 = 4(35) - 10 = 140 - 10 = 130°
solve for x
29=4x-11
Answer:
The Right Answer is X=10
6 of 10
As an estimation we are told £3 is €4.
Convert €32 to pounds.
a girl was asked about her age and she said she is half her mothers age and she was asked how old was her mother and she said i dont know but my mom is 5 years younger than my dad and we asked how old is your dad and she said i dont know but the sum of our ages is equal to 100years.how old is the dad ,the mom and the girl?
Answer: girl- 19yr old mom- 38yr old dad- 43 yr old
Step-by-step explanation:
5x+5=100
5x-5=100-5
5/5x=95/5
x=19
2(19)=38
38+5=43
For every 3 days of vacation, Lisa packs 4 outfits. which statement is true? i have no idea im learning ratios and unit rates
Answer:
does it show you any statements or are you supposed to find one yourself?
What is the 20th term for the following sequence?
3,-9, 27,-81, ...
Answer: -3486784401
Step-by-step explanation:
This is a geometric progression and the formula to use to find the nth term will be: = ar^(n-1)
where,
a = 3
r = -9/3 = -3
n = 20
Therefore, ar^(n-1)
= 3 × -3^19
= 3 × -1162261467
= -3486784401
A unicycle wheel has a diameter of 16 inches. How many inches will the unicycle travel in 7 revolutions?
Use π = 3.14 and round your answer to the nearest hundredth of an inch.
Answer:
The unicycle will travel 351.68 inches in 7 revolutions
Step-by-step explanation:
The circular shape moves a distance equal to its circumference in each revolution, then the rule of the distance of the circular shape travels n turns is D = π d n, where
d is the diameter of the circular shapen the number of revolution∵ A unicycle wheel has a diameter of 16 inches
∴ d = 16 inches
∵ The unicycle will travel 7 revolutions
∴ n = 7
→ Substitute them in the rule of the distance above
∵ D = π(16)(7)
∵ π = 3.14
∴ D = 3.14(16)(7)
∴ D = 351.68 inches
→ No need to round it, it is in the hundredth of an inch
∴ The unicycle will travel 351.68 inches in 7 revolutions
In the first quadrant, you start at (1,3) and move 2 units right What point will you end up on?
Answer:3,3
Step-by-step explanation:
The point on which we will end up on is (3,3).
We are given that;
The starting point (1,3)
Number of units= 2
Now,
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
To find the point where you end up after moving 2 units right from (1,3), you need to add 2 to the x-coordinate of (1,3) and keep the y-coordinate the same.
This is because moving right along a horizontal line does not change the y-value, but increases the x-value by the amount of units moved.
(1 + 2, 3) = (3, 3)
Therefore, by algebra the answer will be (3,3).
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
1/2 x 3/10 in simplest form
Answer: 3/10
Step-by-step explanation: 1/2 x 3/10 = 3/20 and we can’t simplify that.
Answer:
The simplest form of 1/2 x 3/10 would be 3/20
If you need it in decimal form it's: 0.15
I need help with this asap, i will mark you brainliest!!
Solve for the value of x
20 POINTS and BRAINLIEST
Solve the simultaneous equation!
Answer:
x=3 y=-1
Step-by-step explanation:
Answer:
X=3 and
Y=-1
and good luck for your test
Evaluate the expression 2ac is a = 1/2 and c = 9.
Answer:
9
Step-by-step explanation:
the expression is 2ac, so multiply everything together
2 * 1/2 = 1
1 * 9 = 9
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Which must be true? Select two options. Point H is the center of the circle that passes through points D, E, and F.
Point H is the center of the circle that passes through points L, M, and N.
Line segment H E is-congruent-to line segment H D
Line segment L H is-congruent-to line segment N H
Line segment F L is-congruent-to line segment F N
Answer:
A. Point H is the center of the circle that passes through points D, E, and F.
C. Line segment H E is-congruent-to line segment H D
Step-by-step explanation:
The center of a circle is a point within it that has the same distance to all other points on its circumference.
Constructing a circle with center H would pass through the points D, E and F at the three vertices of the given triangle. Thus producing a circumscribed circle to the triangle. A circumscribed circle is one that can is constructed outside a given figure.
It can also be observed that, DH ≅ EH ≅ FH. So that, the line segment HE is congruent to line segment HD.
The correct options in the given question are: A and C.
Answer:
A. Point H is the center of the circle that passes through points D, E, and F
C. HC≈HD
use a proportion to find the length of side x for the pair of similar figures
Answer:
30.8
Step-by-step explanation:
1. Write the ratio for the smaller triangle as 14/10 and the ratio for the larger triangle as x/22.
2. Set the ratios equal to each other.
14/10 = x/22
3. Cross multiply and solve for x.
14 x 22 = 308
10 x x = 10x
4. Divide by 10
x = 30.8
Answer:
30.8cm they are correct
Step-by-step explanation:
i am from connexus 8th grd pre algrabra
unit 5 lesson 3
1. 1:2
2. C. yes they are similar they have porportional side lengths and = ange measures
3. x = 4.5m
4. x = 30.8cm
5. x = 6 m
find the percent of the number
105% of 400
Answer:
105% of 400 is 420, the percent is 42000%
Step-by-step explanation:
Which scatterplot demonstrates a non-linear relationship between x and y?
Answer:
D, or the bottom right.
Step-by-step explanation:
The right lower (U shape) scatter plot : demonstrates a non linear relationship between x & y.
The straight scatter plots denote linear relationships.
The upward sloping curve shows direct or positive linear relationship. The downward sloping curve shows inverse, indirect or negative positive relationship.
The scatter plot parallel to x axis, denotes constant values of y at various levels of x.
The parabolic U shaped curve demonstrates a non linear, ie quadratic relationship between dependent variable y & independent variable x.
To learn more, refer https://brainly.com/question/21839842?referrer=searchResults
5
If you scale up the ratio on the left, what will you get for the unknown quantity on the right?
$155
20hours
$465
?
A) 10 hours
B 40 hours
c) 60 hours
D) 100 hours
Answer:60hours
Step-by-step explanation:
465/155×4
=60 hours
An algebraic expression that contains variables is called
Answer:
An algebraic expression that contains variables is called coefficients.
if santa eats 20 chimichangas on christmas eve and 40 chimichangas on christmas day how much did he eat in all
Answer:
Total he ate 60 chimichangas.
Step-by-step explanation:
Since he ate 20 on christmas eve and 40 on christmas day you would add 20 plus 40 to get a total of 6.
Answer:
60
Step-by-step explanation: santas a xxxxxxxxxxL size in his suit
in conclusion santa is fat
A company that makes hair-care products had 200 people try a new shampoo. Of the 200 people, 12 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
A - 16.66666...%
B - 24 people
C - 6%
D - 6 people
Answer:
24
Step-by-step explanation:
first you multiply 200 by 12, Then you divide that by 100. your final product is 24, hope that helps
Answer:
C. 6%
Step-by-step explanation:
First we need to divide the amount of people who got the allergic reaction by how many people were there.
So: 12 ÷ 200 = 0.06
Now, we need to multiply 0.06 by a whole percent, the whole percent is 100.
So: 0.06 × 100 = 6
6% of the people had a mild allergic reaction.
help me please and thank you
Given:
A line passes through (-2,-6) and has a slope of [tex]\dfrac{1}{3}[/tex].
To find:
The point slope form of the given line.
Solution:
If a line passes through a point [tex](x_1,y_1)[/tex] with slope m, then the slope intercept form of the line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through (-2,-6) and has a slope of [tex]\dfrac{1}{3}[/tex]. So, the point slope form of the line is
[tex]y-(-6)=\dfrac{1}{3}(x-(-2))[/tex]
[tex]y+6=\dfrac{1}{3}(x+2)[/tex]
Therefore, the correct option is A.
Rachel has a collection of 40 stuffed animals, of the animals, 3/8 are beats and 1/5 are dogs. The rest are other animals. How many other animals does she have?
Answer:
17 animals
Step-by-step explanation:
Rachel has a collection of 40 stuffed animals
3/8 are bears
= 3/8 ×40
= 120/8
= 15
1/5 are dogs
= 1/5×40
= 40/5
= 8
15+8
= 23
Therefore the number of animal she have left can be calculated as follows
= 40-23
= 17
Hence there are 17 animals left