Answer:
A(-2,0) B(-4,0) C(-5,2) D(-1,2)
Step-by-step explanation:
The sum of two integers is -186. The larger integer is 14 less than
three times the smaller number. Find the two integers.
The values of the two integers are -43 and -143.
What are the values of the two integers?Let the value of the smaller integer be "x".
Smaller integer = xLarger integer = 3x - 14Sum of the integers = -186Since, the sum of two integers is -186.
Smaller integer + Larger integer = -186
x + ( 3x - 14 ) = -186
Solve for x
x + 3x - 14 = -186
4x - 14 = -186
4x = -186 + 14
4x = -172
x = -172/4
x = -43
Hence;
The smaller integer = x = -43
The largere integer = 3x - 14 = 3(-43) - 14 = -143.
Learn to solve more equations here: brainly.com/question/14686792
#SPJ1
How many roots do the functions have in common f(x)=x^2+x-6
To find the common roots between two functions, we need to find the roots (or solutions) of each function individually and then identify the shared solutions.
For the function f(x) = x^2 + x - 6, we can find the roots by setting the function equal to zero and solving for x:
x^2 + x - 6 = 0
To factorize this quadratic equation, we need to find two numbers that multiply to -6 and add up to 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2:
(x + 3)(x - 2) = 0
Setting each factor equal to zero:
x + 3 = 0 or x - 2 = 0
Solving for x in each equation:
x = -3 or x = 2
Therefore, the function f(x) = x^2 + x - 6 has two roots: x = -3 and x = 2.
To find the common roots between this function and another function, we would need to know the second function. If you provide the second function, I can help determine if there are any shared roots.
If 9 less than 3 times a number is 15, what is the number?
It's 8.
3x-9=15
(3*8)-9=15
On a map, two cities are 5.75 inches apart. The scale of the map is 0.5 inch = 3 miles. What is the actual distance between the two towns?The local school district has made a scale model of the campus of Lakeside Middle School including a proposed new building. The scale of the model is 1 inch = 3 feet. An existing gymnasium is 13 inches tall in the model. How tall is the actual gymasium?
3p + (4 - 2p)3 = 27 pls ill give brainliest
Answer:
p = -5
Step-by-step explanation:
3p+(4-2p)3 = 27
3p+12-6p = 27
reduce
-3p+12 = 27
-3p = 15
divide both sides by -3
p = -5
Answer:
p = -5
Step-by-step explanation:
3p + (4 - 2p)3 = 27
use distributive property
3p + 12 - 6p = 27
Simplify
-3p + 12 = 27
Combine like terms
-3p + 12 - 12 = 27 - 12
Isolate variable
-3p = 15
Simplify
-3p/-3 = 15/-3
Divide both sides by -3
p = -5
Simplify
Hope this helps! May I please have brainliest? :)
If you buy 10 pounds of lettuce for $70, what is the rate which one pound of lettuce costs?
Answer:
$7/lb
Step-by-step explanation:
$70 / 10 lb = $7/lb
Answer:
$7 per pound of letuce
Step-by-step explanation:
We know
10 pounds = $70
1 pounds = ?
We cross multiply and get:
$7 per pound of letuce
So, the answer is $7 per pound of letuce
Graph the system of equations on your graph paper to answer the question.
{y=x−4y=−x+6
What is the solution for this system of equations?
Answer: (5 , 1)
Step-by-Step explanation:
hihi your problem is a system of question y = x-4 and y = -x+6 okay so graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!
y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right
y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left
once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!
the solution is x = 5 and y = 1 which is also (5 , 1)
hopefully this was helpful !
Can someone help me with 6-11. Directions: Find the volume of each figure. Round to the nearest hundredth when necessary.
The calculated volumes of the figures are 11264 cubic units, 14482.28 cubic units, 3744 cubic units, 475.2 cubic units, 18824.14 cubic units and 91.99 cubic units
How to find the volume of the figuresThe cylinder
The volume is calculated as
V = πr²h
Where
r = Radius
h = Height
So, we have
V = 22/7 * (32/2)² * 14
Evaluate
Volume = 11264
The cylinder
The volume is calculated as
V = πr²h
Where
r = Radius
h = Height
So, we have
(2r)² = 40² - 32²
(2r)² = 576
So, we have
r = 12
So, we have
V = 22/7 * (12)² * 32
Evaluate
Volume = 14482.28
The rectangular prism
The volume is calculated as
V = lwh
Where
l = Length
w = Width
h = Height
So, we have
V = 8 * 12 * 39
Evaluate
Volume = 3744
The triangular prism
The volume is calculated as
V = 1/2lwh
Where
l = Length
w = Width
h = Height
So, we have
V = 1/2 * 11 * 5.4 * 16
Evaluate
Volume = 475.2
The sphere
The volume is calculated as
V = 4/3πr³
Where
r = Radius
So, we have
V = 4/3 * 22/7 * (33/2)³
Evaluate
Volume = 18824.14
The sphere
The volume is calculated as
V = 4/3πr³
Where
r = Radius
So, we have
V = 4/3 * 22/7 * 2.8³
Evaluate
Volume = 91.99
Read more about volumes at
https://brainly.com/question/463363
#SPJ1
What is y=4^-x as a percentage to the nearest tenth? Please help!
Answer: To convert a number into percent multiple it by 100 and then add the percent sign. These examples convert the numbers 23 and 158 to percents. To convert a number with a decimal into percent, multiply it by 100 and add the percent sign. These examples convert 0.4580; 0.0257; and 0.00458.
Hope this help
Step-by-step explanation:
A house was valued at $299,000 . Over several years, the value decreased by, 9% giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.
(b) Use your answer in part (a) to determine the new value.
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
Step-by-step explanation:Make A Plan:
A) - Calculate the Percentage of the Value Remaining After the Decrease
B) - Calculate the NEW VALUE of the house
SOLVE THE PROBLEM:
A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE
100% - 9% = 91%
As A DECIMAL:0.91
B) - Calculate the NEW VALUE of the house:
NEW VALUE = OLD VALUE * REMAINING PERCENTAGE
NEW VALUE = 299,000 * 0.91
Draw the conclusion:
A) - The NEW VALUE in terms of the old value is 0.91 times the old value.
B) - The NEW VALUE of the HOUSE is: 299,000 * 0.91 = $272,090
I hope it helps!
HELP!!
Determine each percentage by writing a proportion. Round to the nearest tenth if necessary.
What % of 25 is 16?
Answer:
64%
Step-by-step explanation:
16 ÷ 25 = 0.64 = 64%
Assume a tax rate of 6.2% on $128,400 for Social Security and 1.45% for Medicare. No one will reach the maximum for FICA. Complete the following payroll register. (Use the percentage method to calculate FIT for this weekly period.)
Answer:
Claimed 4 allowances at a rate of $76.90 per allowance for weekly payroll.
Taxable income is therefore;
= 3,500 - (76.90 * 4 )
= $3,192.40
Federal Income Tax (FIT).
With taxable income of $3,192.40, Pat falls into the $3,073 to $4,597 bracket where tax is $565.15 plus 28% of anything above $3,073. Status is married.
= 565.15 + (28% * (3,192.40 - 3,073))
= 565.15 + 33.43
= $598.58
Social Security
= Gross pay * 6.2%
= 3,500 * 6.2%
= $217
Medicare
= 3,500 * 1.45%
= $50.75
Net Pay
= 3,500 - 598.58 - 217 - 50.75
= $2,633.67
Factor the expression using the GCF.
4 + 22
Answer:
2(2+11)
Step-by-step explanation:
i hope it helps i guess
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
89.5, 71, 75, 76, 74, 87, 89, 71, 85
mode = ?
Answer:
mode of this question is 71
Answer:
71
Step-by-step explanation:
because mode is the number that occurs most frequently
Classify the shape as precisely as possible based on its markings.
Question 11 options:
A)
Rhombus
B)
Quadrilateral
C)
Parallelogram
D)
Rectangle
Answer:
c is wrong
Step-by-step explanation:
The given shape is a rhombus.
Hence the correct option is A.
Given is a shape we need to identify its type,
Since all the sides are congruent shown, so we can conclude that the shape is a Rhombus.
A rhombus is a quadrilateral (a polygon with four sides) in which all four sides have equal length. Additionally, the opposite sides of a rhombus are parallel to each other.
The rhombus is also a special type of parallelogram, as it has all the properties of a parallelogram, including opposite sides being equal in length, all the sides being equal and opposite angles being equal in measure.
Hence the correct option is A.
Learn more about Rhombus click;
https://brainly.com/question/12665650
#SPJ2
What does the net decimal equivalent (NDE) represent?
Answer:
the product of the decimal equivalents of all discount in the series
Solve for u please help me!!!
The equation of the variable u is u = t/1
How to determine the solution for u?From the question, we have the following parameters that can be used in our computation:
t = 10u
To determine the value of u, we divide both sides of the equation by 10
So, we have the following representation
t/10 = u
Rewrite the equation as follows
So, we have the following representation
u = t/10
Hence, the solution is
u = t/10
Read more about subject of formula at
https://brainly.com/question/10643782
#SPJ1
Complete question
Solve for u in t = 10u
What is the square root of 76.8
The square root of 76.8 is 8.76.
Square root of 76.8 is 8.746.
Given,
\(\sqrt{76.8}\)
Now,
Simplifying the square root :
If square root of x is to be calculated then,
\(\sqrt{x}\) = \(x^{1/2}\)
Similarly,
\(\sqrt{76.8}\) = \(76.8^{1/2}\)
= 8.746
Thus the square root of 76.8 is 8.746.
Know more about square root,
https://brainly.com/question/2987605
#SPJ6
A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 4 m from the dock
Answer:
-1.031 m/s or \(\frac{-\sqrt{17} }{4}\)
Step-by-step explanation:
We take the length of the rope from the dock to the bow of the boat as y.
We take x be the horizontal distance from the dock to the boat.
We know that the rate of change of the rope length is \(\frac{dy}{dt}\) = -1 m/s
We need to find the rate of change of the horizontal distance from the dock to the boat = \(\frac{dx}{dt}\) = ?
for x = 4
Applying Pythagorean Theorem we have
\(1^{2} +x^{2} =y^{2}\) .... equ 1
solving, where x = 4, we have
\(1^{2} +4^{2} =y^{2}\)
\(y^{2} = 17\)
\(y = \sqrt{17}\)
Differentiating equ 1 implicitly with respect to t, we have
\(2x\frac{dx}{dt} = 2y\frac{dy}{dt}\)
substituting values of
x = 4
y = \(\sqrt{17}\)
\(\frac{dy}{dt}\) = -1
into the equation, we get
\(2(4)\frac{dx}{dt} = 2(\sqrt{17} )(-1)\)
\(\frac{dx}{dt} = \frac{-\sqrt{17} }{4}\) = -1.031 m/s
Which of the following can you determine when you use deduction and start from a given set of rules and conditions
Answer:
What must be true
Step-by-step explanation:
Which problem solving strategy would be best to solve this problem?
Brandon went to the store and spent $2.50 on pencils. He spent half of what he had left on a notebook and paper. When he got home he had $5.00 left. How much money did Brandon have before going to the store?
Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.
Step-by-step explanation: Formula and Solving it
He Spent $2.50 on pencils.
Amount left after buying a pencil = x - 2.50
Next, he spent half of the amount left in his pocket.
He spent (x - 2.50)/2 on notebook and paper.
So the total amount he spent = 2.50 + (x -2.50)/2
Amount left when he got home =$ 5.00
That means, x - Total amount spent = 5
=> x - (2.50 + (x -2.50)/2 ) = 5
=> x - 2.50 -x/2 + 2.50/2 = 5
=> x/2 - 2.50/2 = 5
=> x/2 = 5 + 2.50/2
=> x/2 = 6.25
=>x = $12.5
there are 250 toothpicks in a regular-size box. A jumbo-size box is made by tripling the length, width, and height of the regular box. How many toothpicks will the jumbo box hold?
The number of toothpicks that the jumbo box hold is 6760.
How to calculate the value?From the information, there are 250 toothpicks in a regular-size box and jumbo-size box is made by tripling the length, width, and height of the regular box.
Therefore, the number of toothpicks will be illustrated by multiplying the value by the change. This will be:
= 250 × 3 × 3 × 3
= 6750
This was because the dimensions were tripled
Learn more about length on:
brainly.com/question/2217700
#SPJ1
...................................................................
Answer:
29 degrees
Step-by-step explanation:
Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees
During the 2005 football season, Team Tackle beat Team Sack by 19 points. If their combined scores totaled 37, find
the individual team scores.
Team Tackle's score was
Team Sack's score was
points.
points.
Team Tackle's score was 28 points. And team Sack's score was 9 points.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
During the 2005 football season, Team Tackle beat Team Sack by 19 points. If their combined scores totaled 37.
Let 'x' be the Tackle's score and 'y' be the Sack's score. Then the equations are given as,
x + y = 37 ...1
x = y + 19 ...2
From equations 1 and 2, then we have
y + 19 + y = 37
2y = 18
y = 9
Then the value of 'x' is given as,
x = 9 + 19
x = 28
Team Tackle's score was 28 points. And team Sack's score was 9 points.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ1
Please help find the answer. Thank You!
Answer:
Step-by-step explanation:
208
Write an equation of the line with a slope of 2/3
and -8
The table gives the volume of cylinders where the height is a function of the radius of the base. Given radius, r, the height can be modeled with the function h(r), the base area of the of the cylinder with the function B(r), and the volume of the cylinder with the function V(r). Which values complete the table for h(r)?
The values of h(r) for the given r - values can be calculated by substituting the values of Volume and r into the formula,
⇒ V = πr²h
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
For the given table, we need to find the values of h(r) for the given r -values.
To do this, we can use the formula for the volume of a cylinder
⇒ V = πr²h.
We know that for a given r - value, the volume is given by the second column in the table. We can therefore substitute the values of V and r into the formula to calculate the corresponding h value.
For example, for r = 10, the corresponding volume is V = 4772. Substituting this into the formula, we get ;
⇒ h = 4772/(π10²)
= 6472 cm.
This process can then be repeated for the remaining r - values to complete the table.
Thus, The values of h(r) for the given r - values can be calculated by substituting the values of V and r into the formula Volume = πr²h.
Learn more about volume here;
brainly.com/question/16134180
#SPJ1
How do I work these out?
Answer:
Step 1: Make x the subject by moving all x terms to one side;
a) 4x-2x=7+3
Step 2; solve the linear equation
2x=10
x=10/2
x = 5
b) 2x-7x = -14-6
-5x = -20
x = -20/-5
x= 4
Hope this helps :) ! I'd apreciate if you'd mark my answer brainliest because ive been on the same rank for quite a loong time :(
A) 4x-3=2x+7
Let's say x is 5
4x5-3 = 2x5+7
20-3 = 10+7
17=17
So x is 5
B) 2x+6 =7x -14
Let's say x is 4
2x4+6 = 7x4-14
8+6= 28-14
14=14
So x is 4
Kevin can travel 22 1/2miles in 1/3hour. What is his average speed in miles per hour?
Answer:
67.5 miles per hour
Explanation:
22 1/2 * 3 = 67.5
Answer:
67 1/2
Step-by-step explanation:
22 1/2 : 1/3 = 67 5/10 = 67 1/2