28+29 = 57
=======================================================
Explanation:
n = first number
n+1 = second number
Add up those two items and set the result equal to 57. Solve for n.
first+second = 57
(n) + (n+1) = 57
2n+1 = 57
2n = 57-1
2n = 56
n = 56/2
n = 28
n+1 = 28+1 = 29
The two consecutive whole numbers are 28 and 29
28+29 = 57
Answer:
28 and 29
Step-by-step explanation:
Given values:
1st number = n
2nd number = n+1
n + n + 1 = 57
2n + 1 = 57
2n = 56
n = 28
n+1 = 29
Answer: 28 and 29
The diameters of a circle is 7m. Find its area to the nearest tenth?? Help please
Area =[tex]\pi r^{2}[/tex]
The diameter is double the length of the radius
7 ÷ 2 = 3.5
3.5 × 3.5 = 12.25
[tex]12.25\pi[/tex] = 38.4845100064751
38.4845100064751 rounded to the nearest tenth is 38.5
Answer:
A = 38.5 sq meters
Step-by-step explanation:
A = πr²
since diameter is 7, then radius is 7/2
A = π(7/2)²
A = 38.48
A = 38.5 rounded to nearest tenth
A line passes through (2, -1) and (4, 5).
-
Which answer is the equation of the line?
-3x+y=17
-3. + 5y = -13
-3x+y=-7
-3x+5y=13
Answer:
its c
Step-by-step explanation:
Tell whether the ordered pair is a solution to the equation please show how you solve it.
(3,2); x+6y = 13
Answer:
The ordered pair is not a solution as both sides of the equation do not equal each other.
Step-by-step explanation:
(3,2); x + 6y = 13
(3) + 6(2) = 13
3 + 12 = 13
15 = 13
8x-5y=15
6x+4y=43
solve the system by any method
Answer:
[tex]x=\frac{275}{62}[/tex] , [tex]y=\frac{127}{31}[/tex]
Step-by-step explanation:
I will use the elimination method.We want to make the X's the same:
[tex]24x-15y=45[/tex]
[tex]24x+16y=172[/tex]
Because the signs of the X's are the same we subtract the 2 equations to make:
(I put the second one on top of the 1st)
[tex]31y=127[/tex]
So:
[tex]y=\frac{127}{31}[/tex]
Substitute y into either equation 1 or 2:
(I chose equation 1)
[tex]8x-5(\frac{127}{31})=15[/tex]
[tex]8x=5(\frac{127}{31}) + 15[/tex]
[tex]x=\frac{5(\frac{127}{31})}{8}[/tex]
So:
[tex]x=\frac{275}{62}[/tex]
help pls?? will give brainilest <3
Answer:
The y = 0.5 the x = 1
Step-by-step explanation:
The y = 0.5 the x = 1
Answer:
y=1/2x
Step-by-step explanation:
y=mx+b, where m is the slope, b is the y-int and y and x are variables.
y=1/2x+0 is the answer but you dont need to add the 0.
To get the slop you do RISE/RUN which in this case is 1/2
Hope that helps. Brainliest is appreciated
The weight of a beaker is measured to be 78 grams, but the actual weight of the beaker is 82 grams. What is the approximate percent error in the measurement? A) 4% B) 5% C) 6% D) 7%
The approximate percentage error on the weight of the beaker is 5%
What is percentage error?Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.
Error = Actual value - estimated value =
Actual value = 82g, Estimated value = 78g
Error = 82 - 78 which is 4
percent error = error/estimated x 100%
percent error = 4/78 x 100 which is 5%
In conclusion the percent error is 5%
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What is the equation for the line in slope-intercept form
The equation for slope intercept form is y = mx + b.
An example would be y = 3x + 4 or y = -2/5x - 4
If cosine theta = -2/5 and tangent theta > 0, what is the value of sine theta?
[tex]\text{Given that,}\\\\\cos \theta = -\dfrac 25 \\\\\implies \cos^2 \theta = \dfrac 4{25}\\\\\\\implies 1- \sin^2 \theta = \dfrac{4}{25}\\\\\\\implies \sin^2 \theta = 1-\dfrac{4}{25}\\\\\\\implies \sin^2 \theta =\dfrac{21}{25}\\\\\\\implies \sin \theta = \pm \sqrt{\dfrac {21}{25}} = \pm \dfrac{\sqrt{21}} 5\\\\\text{Since}~ \tan \theta>0,~ ~\text{the value of} ~\sin \theta ~\text{wii be:} \\\\\sin \theta = -\dfrac{\sqrt{21}}5[/tex]
M
Y
(4x - 1)
(2x +5)
Р
W
M
Step-by-step explanation:
(4x-1) × (2x+5)
3x × 7x
21x
The answer is = 21x
[tex]\sqrt[n]{x} \\ x^{2} \sqrt[n]{x}[/tex]Ms. Sanchez is purchasing a car for $14,000. The tax rate in the state where she is buying the car is 7%. What is the total amount she will pay for the car including the tax?
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this? because the system of equations actually has only one solution because the system of equations actually has no solution because the graphs of the two equations overlap each other because the graph of one of the equations does not exist
Answer:
Henry could only see one line because both equations have the same expression when simplified: y = 3/2x - 2.Source:
https://brainly.com/question/9764595Which of the following are equivalent to the expression 9/4 ( 1.75 - 2 1/4)? Select all that apply.
A. -9/8
B. 1.6875
C. -2 1/4
D. 1 1/8
E. 7/4
F. -1.125
Answer:
9/4 (1.75 - 21/4)
=9/4 (1.75 - 5.25)
=2.25 -3.5
= -1.25
I think your f answer is wrong
there should be -1.25
Corinne tends to be a spender. Luckily, her employer offers retirement saving options for the workers. Which of the following is the best option for Corinne to start saving for retirement
now?
A. A money market account
B. A simple savings account
C. A prepaid plan
D. A matching benefit
HELP what is the slope
Answer:
D
Step-by-step explanation:
The line starts at 10 so I think it's that
Answer:
Slope of a line
m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
Step-by-step explanation:
Khan Academy
Slope review | Algebra (article) | Khan Academy
Find an equivalent ratio in simplest terms: 56 : 40
Answer:
7:5 is another ratio equivalent to 56:40
Step-by-step explanation:
56/8 = 7
40/8 = 5
Answer:
hope this helps
Step-by-step explanation: an equivalent ratio in simplest form would be 7:5
this is found by dividing 56 by 8 which is 7 and 40 dividd by 8 which is 5
7:5
In this diagram, lines AC and DE are parallel and line DC is perpendicular to each of them. What is a reasonable estimate for the length of side DE
The reasonable estimate for the length of side DE is 3 units
Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.
Using the similarity theorem of a triangle, this is expressed as:
AC = DE
Using the pythagoras theorem to get the length of AC:
AB^2 = AC^2 + BC^2
5^2 + AC^2 + 4^2
AC^2 = 25 - 16
AC^2 = 9
AC= 3
Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units
Learn more on similar shapes here: https://brainly.com/question/14285697
Answer:
5/3
Step-by-step explanation:
I need help bad with this equation
don't quote me on this but I'm pretty sure it's H multiplication property of inequality
drag the tiles to the correct boxes to complete the pairs. Solve the inequalities for x, and match each solution to its number graph.
Inequalities are used to represent unequal expressions.
The inequalities are given as:
[tex]x - 99 \le -104[/tex]
[tex]x - 51 \le -43[/tex]
[tex]150 + x \le 144[/tex]
[tex]75 < 69 - x[/tex]
Start by solving for x in all the inequalities
[tex]x - 99 \le -104[/tex]
Make x the subject: Add 99 to both sides
[tex]x \le 99 - 104[/tex]
[tex]x \le -5[/tex]
[tex]x - 51 \le -43[/tex]
Make x the subject: Add 51 to both sides
[tex]x \le 51 - 43[/tex]
[tex]x \le 8[/tex]
[tex]150 + x \le 144[/tex]
Make x the subject: Subtract 150 from both sides
[tex]x \le 144 - 150[/tex]
[tex]x \le -6[/tex]
[tex]75 < 69 - x[/tex]
Make x the subject: Add x to both sides, and subtract 75 from both sides
[tex]x < 69 - 75[/tex]
[tex]x < -6[/tex]
Hence, the solutions to the inequalities are: [tex]x \le -5[/tex], [tex]x \le 8[/tex], [tex]x \le -6[/tex] and [tex]x < -6[/tex]
See attachment for the number graphs
Read more about inequalities at:
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Jett leaves for the airport at 3:20 p.m. The airport is a 35-minute drive from his house. What time does he reach the airport?
Answer:
3:55
Step-by-step explanation:
add 35 to 20 then put the hour =
3:55
a film start at 17:15 and finish at 1 hour and 45 minutes later. what time did it finish?
The total number of gallons of water in a tank, w, after t minutes is given in this table and the plot.
What is an equation showing the relationship between w and t?
Enter your answer by filling in the box to complete the equation.
w =
The equation showing the relationship between w and t is [tex]w = 4t[/tex]
From the table, we have the following points:
(0,0) and (1,4)
Start by calculating the slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{4 -0}{1 -0}[/tex]
Simplify the numerator and the denominator
[tex]m = \frac{4}{1}[/tex]
Divide 4 by 1
[tex]m = 4[/tex]
The equation is then calculated as:
[tex]w = m(t - t_1) + w_1[/tex]
This gives
[tex]w = 4(t - 0) + 0[/tex]
Simplify
[tex]w = 4t[/tex]
Hence, the equation is [tex]w = 4t[/tex]
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James is 5 ft. tall and casts a 6.5 ft. shadow. At the same time, a palm tree casts a 26 ft. shadow. How tall is the palm tree?
=====================================================
Work Shown:
(height)/(shadow length) = (height)/(shadow length)
(5 ft)/(6.5 ft) = (x ft)/(26 ft)
5/(6.5) = x/26
5*26 = 6.5*x
130 = 6.5x
6.5x = 130
x = 130/(6.5)
x = 20
The palm tree is 20 feet tall, which is the same height as a 2 story building (assuming each floor is 10 ft).
Jackie likes coffee. She ________ about eight cups of coffee every day.
a-is drinking
b-drinks
c-is always drinking
d-drank
I NEED HELP PLSSSSSSSSSSSSSSSSS
Answer:
#1 and #3
Step-by-step explanation:
How fast must a jet travel to reach its destination
2,064 miles away in 4 hours?
Solve for y 8x - 7y = 23
[tex]8x - 7y = 23 \\ 8x - 23 = 7y \\y = \frac{8}{7} x - \frac{23}{7} [/tex]
The solution of the equation, when it is solved for y, has one variable term x with coefficient 8/7 and one constant term 23/7, 8/7x-23/7.
How to solve an equation for its variable?The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.
To solve an equation for its variable, isolate the variable on one side of the equation using the mathematical operations.
The given expression is,
[tex]8x - 7y = 23[/tex]
The expression has two variables, x and y. To solve it for y, subtract 8x from both sides,
[tex]8x - 7y -8x= 23-8x\\-7y=23-8x[/tex]
Divide with number 7 both sides and change the sign of the equation,
[tex]y=-\left(\dfrac{23-8x}{7}\right)\\y=\dfrac{8x-23}{7}\\y=\dfrac{8}{7}x-\dfrac{23}{7}[/tex]
Thus, the solution of the equation, when it is solved for y, has one variable term x with coefficient 8/7 and one constant term 23/7, 8/7x-23/7.
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Find values for a and b for which x = 4 is a solution of the equation shown.
ax + 4 = 5x + b
The values of a and be for which x = 4 is a solution of the equation shown.
ax + 4 = 5x + b are infinitely many
The given equation is:
ax + 4 = 5x + b
To find the values of a and b in the equation at x = 4, substitute x = 4 into the equation
4a + 4 = 5(4) + b
4a + 4 = 20 + b
Collect like terms
4a - b = 20 - 4
4a - b = 16
Since there are two unknowns in just a single equation, the equation has more than 1 solution.
The values of a and be for which x = 4 is a solution of the equation shown.
ax + 4 = 5x + b are infinitely many
Learn more on linear equations here: https://brainly.com/question/13763238
Which statement is true about the function shown in the graph?
[tex]f(x) = 2 \sqrt{x + 4} [/tex]
A. The function is strictly increasing.
B. The function is strictly decreasing.
C. The function is increasing and decreasing.
D. The function is constant.
Answer:
Function is slightly increasing
Step-by-step explanation:
PLATO
Solve for x.
5.3>x+25
x>4910
x<5710
x<4910
x>5710
Answer:
x= < 4 9/10
Step-by-step explanation:
I hope this helps
Have a great and blessed day
Answer:
K12 Answer
Step-by-step explanation:
sarah got a 80% on her pre algebra final exam. if there were 75 questions total how many did sarah get correc? How many did she get wrong? what percent did she get wrong?
HELP PLS
Answer: Sarah got 60 questions correct, 15 questions wrong, and she got 20% of the questions wrong.
Step-by-step explanation:
First, let's solve for how many questions Sarah got correct.
80% as a fraction can be simplified as [tex]\frac{8}{10}[/tex]. To find how many questions Sarah answered correctly, we can set up a proprtional relationship as follows:
[tex]\frac{8}{10}=\frac{?}{75}[/tex]
Next, after we cross multiply, 8 X 75 = 600, and 600 ÷ 10 = 60
So, Sarah got 60 out of 75 questions correct.
To find how many she missed, we can simply subtract 60 from 75 to get 15.
So, Sarah got 15 out of 75 questions wrong.
Finally, to find the percentage of the questions that Sarah got wrong, we can use the 15 out of 75 incorrect questions that we found earlier to create a percentage.
15 ÷ 75 = 0.2
0.2 X 100 = 20
So, Sarah got 20% of the questions wrong.