Answer: yes , it is possible
Step-by-step explanation:
Let the first number be x and the second number be y .Then , the sum of the two numbers will be x + y , and their difference will be x - y.
Combining the two , we have :
x + y = 1 ............................... equation 1
x - y = 8 ................................. equation 2
solving the system of linear equation by substitution method. From equation 1 , make x the subject of the formula ,
x = 1 - y ...................... equation 3
Substitute equation 3 into equation 2 ,
1 - y - y = 8
1 - 2y = 8
add 2y to both sides
1 = 8 + 2y
subtract 8 from both sides
1 - 8 = 2y
- 7 = 2y
divide through by 2
y = [tex]\frac{-7}{2}[/tex]
y = - 3.5
substitute y = -3.5 into equation 3 to find the value of x , we have
x = 1 - y
x = 1 - ( - 3.5 )
x = 1 + 3.5
x = 4.5
Let us check :
x + y will be
4.5 + (-3.5) = 1
Also ,
x - y will be
4.5 - (-3.5)
⇒ 4.5 + 3.5 = 8
A kite has a string that is 400 feet long, if the kite makes a 42 degree angle with the ground, whats the horizontal distance between the kite and its flyer?
Answer:
297.26 feet to the nearest hundredth.
Step-by-step explanation:
We use the cosine ratio here because we know the hypotenuse and need the adjacent side.
cos 42 = adj / hyp
= x / 400
x = 400 cos 42
x = 297.26 feet.
Mr. Stewart picked 1/2 of a pound of berries. He divided them evenly among 4 containers. How many pounds of berries did Mr. Stewart put in each container?
Answer:
1/8 pound
Step-by-step explanation:
(1/2)/4 = 1/8
or (1÷2)÷4 = 0,125
Please help me asap
What is the equation for the line?
Enter your answer in the box.
the graph is below
The equation of a line is y = mx + b [m is the slope, b is the y-intercept or the y value when x = 0 ----> (0, y) or the point where the line goes through the y-axis]
To find the slope, you use the slope formula (m):
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and plug in 2 points
I will use the points (0, 0) and (1, 8)
(0, 0) ----> (x₁, y₁)
(1, 8) ----> (x₂, y₂)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{8-0}{1-0}[/tex]
m = 8
Since you know m, plug it into the equation.
y = 8x + b
The graph shows that the y-intercept is 0, so plug it into the equation
y = 8x
Each bag of candy the factory makes contains 120 pieces of chocolate candy. This week, the factory produced 1800 pieces. Solve the equation below for p to find the number of bags of candy the factory produced. 120p = 1800
Answer:
15 bags
Step-by-step explanation:
120p = 1800
p = 1800/120 =180/12 = 15
Final answer:
To find the number of bags of candy produced, divide 1800 by 120 to get p, which results in p = 15, indicating the factory made 15 bags of candy.
Explanation:
The student is asked to solve the equation 120p = 1800 for p to find out the number of bags of candy the factory produced. In order to find p, we need to perform algebraic operations to isolate the variable on one side of the equation. Here's the step-by-step solution:
Therefore, the factory produced 15 bags of candy.
Here’s another one thank u all for helping me. I really appreciate it!
C = circumference of circle with radius r
C = 2*pi*r
C = 2*3.14*3500
C = 21,980
C = 22,000 rounding to 2 significant figures (3500 is also 2 sig figs)
Answer is choice CWILL AWARD 100 POINTS PLUS BRAINLIEST IF RIGHT
The function represents the number of specialty items produced at the old factory w weeks after a change in management. The graph represents the number of specialty items produced at the new factory during the same time period.
During Week 0, how many more specialty items were produced at the old factory than at the new factory? Explain.
Find and compare the growth rates in the weekly number of specialty items produced at each factory. Show your work.
When does the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory? Explain.
a)
During week 0, the number of specialty items produced at the old factory than at the new factory is 33
b)
Old factory
The growth rate from week 0 to week 1 is 20.
The growth rate from week 1 to week 2 is 22.
New factory:
The growth rate from week 0 to week 1 is 30.
The growth rate from week 1 to week 2 is 32.
c)
The weekly number of specialty items produced at the new factory exceeds the weekly number of specialty items produced at the old factory
in week 4.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Old factory:
f(x) = 223 (1.09)^x
When x = 0,
f(0) = 223(1.09)^0 = 223(1) = 223
In zero weeks, the number of specialties produced is 223.
When x = 1,
f(1) = 223(1.09)^1 = 243.07 = 243
When x = 2,
f(2) = 223(1.09)^2 = 265.32 = 265
When x = 3,
f(3) = 223(1.09)^3 = 290.41 = 290
When x = 4:
f(4) = 223(1.09)^4 = 318.53 = 318
New factory:
(0, 190), (1, 220), (2, 252), (3, 290), (4, 337)
This means,
(0, 190)
In zero weeks, the number of specialties produced is 190.
Thus,
a)
During week 0, the number of specialty items produced at the old factory than at the new factory.
= 223 - 190
= 33
b)
The growth rates in the weekly number of specialty items produced at each factory.
Old factory:
The growth rate from week 0 to week 1 = (243 - 223)/(1 - 0) = 20/1 = 20
The growth rate from week 1 to week 2 = (265 - 243)/(2 - 1) = 22/1 = 22
New factory:
The growth rate from week 0 to week 1 = (220 - 190)/(1 - 0) = 30/1 = 30
The growth rate from week 1 to week 2 = (252 - 220)/(2 - 1) = 32/1 = 32
c)
The weekly number of specialty items produced at the new factory exceeds the weekly number of specialty items produced at the old factory
in week 4.
i.e
f(4) = 223(1.09)^4 = 318.53 = 318
(4, 337)
318 < 337
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Answer: if your question is the same as mine, it should be correct!
Step-by-step explanation:
(a) 40 more specialty items, as 230 (initial value at the Old Factory) minus 190 is 40.
(b) y2 – y1/x2 – x1
252-220/2-1
32
(c) The new factory seems to have a faster production rate.
(d) Week 3 is the week when the production is faster at the New Factory.
p(w)=230(1.1)^w
p(w)=230(1.1)^3
p(w)=230(1.33100)
p(w)= 306.13
At week 3 for the Old Factory, it seems that there is less production happening than the 3rd week at the New Factory.
hopefully this helped :3
A trapezoid was broken into a rectangle and a triangle. A trapezoid is broken into a rectangle and a triangle. The rectangle has a base of 8 centimeters and a height of 6 centimeters. The triangle has a base of 2 centimeters and a height of 6 centimeters. What is the length, b, of the base of the triangle?
Answer:
4 cm
Step-by-step explanation:
this is the answer on egde:)
Answer: 2
Step-by-step explanation:
I got it right on a unit test review
Carlos bought 5 tickets to a play for a total of
$20. The equation 5c = 20 can be used to find
the cost c in dollars of each ticket. How much
does each ticket cost?
Answer:
Each ticket cost 4dollars
Help quick!.................
Answer: D.
Step-by-step explanation:
I think its d because there all equally apart and proportionate
Noah was assigned to make 64 cookies for the bake sale. He made 125% of that number. 90% of the cookies he made were sold. How many of Noah’s cookies were left after the bake sale?
Answer:
8
Step-by-step explanation:
The number left was 10% of the number he made. The number he made was 125% of 64, so the number left was ...
10% × 125% × 64 = 0.125 × 64 = 8
8 of Noah's cookies were left.
Ramon has 7/8 of a cup of cottage cheese. How many 1/4 cup servings can he make?
Answer:
Ramon can make 3 1/2 or 3.5 servings of 1/4 of a cup each one
Step-by-step explanation:
1. What information was given to us to answer the question correctly?
Amount of cottage cheese Ramon has = 7/8 of a cup
2. How many 1/4 cup servings can he make?
For answering this question, we make this calculation:
7/8 * 1/4
7/8 * 4/1 = 28/8 = 7/2 or 3 1/2 cup servings
This means that Ramon can make 3 1/2 or 3.5 servings of 1/4 of a cup each one:
1/4 + 1/4 + 1/4 + (1/2 * 1/4) = 7/8
3/4 + (1/2 * 1/4) = 7/8
3/4 + 1/8 = 7/8
6/8 + 1/8 = 7/8
7/8 = 7/8
The graph of the function f(x) = -(x + 3)(x - 1) is shown
below.
Answer: i think the answer is A
Step-by-step explanation:
dont quote me
A quadrilateral has the following coordinates:
Point A: (4, 7)
Point B: (–4, 7)
Point C: (–4, –7)
Point D: (4, –7)
Enter the length of side CD.
Answer:
8 units
Step-by-step explanation:
-4 is 4 units from the y-axis
4 is 4 units from the y-axis.
4 + 4 = 8 units
Have a great day :D
If the butcher paper is 21 inches long,what is the area of one circle
Answer:
=[tex]12.25[/tex][tex]\pi[/tex]
Step-by-step explanation:
Given:
Length of butcher paper,(diameter of three congruent circle) = 21 inches
Means, diameter of a circle = [tex]\frac{21}{3}[/tex] = 7 inches
Questioned asked:
Area of one circle = ?
Solution:
Radius of a circle ,r = half of of one circle's diameter
r = [tex]\frac{7}{2}[/tex]
= [tex]3.5[/tex]
Area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]
[tex]3.5\times3.5[/tex] [tex]\pi[/tex]
=[tex]12.25[/tex][tex]\pi[/tex]
Therefore, Area of one circle ==[tex]12.25[/tex][tex]\pi[/tex]
Solve for f. -f+2+4f=8-3f
Hope it will help u..............
Evaluate the expression when y=-6.
y² + 7y - 5
When y is equal to -6, the evaluation of the formula [tex]y^2 + 7y - 5[/tex] is -11.
Explanation:In order to assess this mathematical statement when y=-6, we substitute -6 for y in the expression y² + 7y - 5.
In the expression, swap out y for -6. This gives us (-6)² + 7(-6) - 5.Total up each component. 36, 42, and 5 are the results. Addition and subtraction are to be done left to right. 36 - 42 therefore equals -6, and -6 - 5 equals -11.
This evaluation's outcome is a score of -11.
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pls help me its easy but im lazy
Answer: Volume = a^4 * b^6
Step-by-step explanation:
Volume = (a^2*b)*(a*b^2)*(a*b^3)
Volume = a^2 * b * a * b^2 * a * b^3
Volume = a^4 * b^6
If 3/4 = x/8, then x is equal to __.
Answer:
6
Step-by-step explanation:
if 3/4 = x/8 then x = 6 because you have to multiply 4 by 2 to get 8. in the same way 3×2 = 6
plz give me brainliest, i just need 3 more until expert plz plz plz
(Compound inequalities)
Solve for x.
-8x + 3 ≥ 27 and -13x + 5 ≥ 57
Choose 1 answer:
A: x ≤ -4
B: x ≤ -3
C: -4 ≤ x ≤ -3
D: There are no solutions
E: All values of x are solutions
Answer:
C: -4 ≤ x ≤ -3
Step-by-step explanation:
-8x + 3 ≥ 27
x ≤ -3
-13x + 5 ≥ 57
x ≤-4
It’s A y’all mad goofy for choosing C
X < -4
How many times larger is the number 10 billion to the number 10 million?
Answer:
100 times bigger
Step-by-step explanation:
which angle is supplementary to DFA?
Answer:
<AFB
Step-by-step explanation:
Supplementary angles are the angles that's sum up to 180° which is called a straight angle.
In this question we see AFB is supplementary to DFA for DFB is the straight angle.
Which equation shows the correct use of the distributive property?
-4(3/2x-1/2)=-15
1a. 6x+4=-15
2b. 2x-1/2=-15
3c. -6x-2=-15
4d. -6x+2=-15
Answer: 4
Step-by-step explanation:
Multiply 4 by 2/3 and 1/2 (calculator) or you can put 4 like 4/1 than multiply 4/1 *3/2 and 4/1 * 1/2
Top times top and bottom times bottom
The equation which shows the correct use of the distributive property is - 6x + 2 = -15
The Distributive Property is an algebraic property which is used to multiply a single term and two or more terms inside a parenthesis.Given:
-4(3/2x - 1/2) = -15
multiply separately
-4(3/2x) -4(-1/2) = -15
-12/2x + 4/2 = -15
- 6x + 2 = -15
solve for x
-6x = -15 - 2
-6x = -17
x = -17/-6
x = 2.83
Therefore, the equation which shows the correct use of the distributive property is
- 6x + 2 = -15
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Write and solve a word problem to match the equation 6×?=48
Answer:
Jack has 48 rockets in all. He wants to split them equally into 6 groups. How much rockets do he put into each group?
Let "how much" = x. Set the equation:
x * 6 = 48
(x * 6)/6 = (48)/6
x = 48/6
x = 8
8 groups is your answer.
~
The length of a picture frame is 8 inches more than the width. For what values of x is the perimeter of the picture frame greater than 152 inches.
For, "x" greater than 34, the perimeter of the picture frame greater than 152 inches
Solution:
Let "x" be the width of the frame
Given that, The length of a picture frame is 8 inches more than the width
Therefore,
Length = width + 8
Length = x + 8
The perimeter of rectangle is given by formula:
Perimeter = 2(length + width)
Substituting the values we get,
Perimeter = 2(x + 8 + x)
Perimeter = 2(2x + 8)
Perimeter = 4x + 16
The perimeter of the picture frame greater than 152 inches
Perimeter > 152
[tex]4x + 16>152\\\\\text{Subtract 16 from both sides of inequality}\\\\4x + 16 - 16 > 152 - 16\\\\4x>136\\\\\text{Divide both sides by 4}\\\\x>34[/tex]
Therefore, for, "x" greater than 34, the perimeter of the picture frame greater than 152 inches
Answer:
x>35
Step-by-step explanation:
17x+6y=17 in slope intercept form
Answer:
6y = -17x + 17
Step-by-step explanation:
All you have to do for this equation to put it into slope-intercept form is to minus 17x from both sides giving you 6y = -17x + 17 which is the correct form. Then you can simplify by dividing everything by 6 but I'll let you do that.
1/4x - 3/4x = 3 - 1/2x
Answer:
No solution.
Step-by-step explanation:
1/4x-3/4x=3-1/2x
-2/4x=3-1/2x
-1/2x+1/2x=3
0=3
no solution
4/5 ÷ 7/6 + 2/7 ∙2 1/5
Step-by-step explanation:
We have,
[tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex]
To find, the value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] = ?
∴ [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex]
[tex]=\dfrac{4}{5}\times \dfrac{6}{7} +\dfrac{2}{7}.\dfrac{8}{5}[/tex]
[tex]=\dfrac{24}{35} +\dfrac{16}{35}[/tex]
Taking LCM of denominator, we get
[tex]=\dfrac{24+16}{35}[/tex]
[tex]=\dfrac{40}{35}[/tex]
Dividing numerator and denominator by 5, we get
[tex]=\dfrac{8}{7}[/tex]
∴ The value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] [tex]=\dfrac{8}{7}[/tex]
Hence, the value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] is equal to [tex]\dfrac{8}{7} .[/tex]
On Tuesday, a local hamburger shop sold a combined total of 600 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the
number of hamburgers sold. How many hamburgers were sold on Tuesday?
Answer:
Step-by-step explanation:
h + c = 600
c = 3h
now we sub
h + 3h = 600
4h = 600
h = 600/4
h = 150 <=== hamburgers sold on Tuesday
c = 3h
c = 3(150)
c = 450....and 450 cheeseburgers sold
Are the ratios 8:16 and 1:2 equivalent?
Answer:
Yes! the ratio 8:16 is equivalent to 1:2
Use the Distributive
Property to express
28 + 56
Answer:
Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.
For example, express 36 + 8 as 4 (9 + 2).