which equation has an a-value of 1, a b value of -3 and a c- value of -5?
The equation that has an a-value of 1, a b-value of -3, and a c-value of -5 is x^2 - 3x - 5 = 0.
The student is asking for the equation of a quadratic in the form ax^2 + bx + c = 0, where the coefficients match the given values: a = 1, b = -3, and c = -5. Therefore, the equation that fits these criteria is x^2 - 3x - 5 = 0. This is a typical problem where a student is expected to understand the standard form of a quadratic equation and identify or construct the equation based on given coefficients.
I need help with this one problem pls help I’m estimating quotients
6+8x/2 = 5x what is x?
Answer:
x=3
Step-by-step explanation:
6+8x/2=5x
6+8x/2*2=5x*2
6+8x=10x
6+8x-8x=10x-8x
6=2x
6/2=2x/2
3=x
Also I took the test so I know this is right
The math team sold 42 hamburger meals and 15 ribs meals at the pep rally for a total of $243. At the game that night, they sold 36 hamburger meals and 30 ribs meals for a total of $294. What is the cost of 1 rib meal?
Answer:
$5.
Step-by-step explanation:
Let h be the cost of each hamburger meal and r be the cost of each rib meal.
We have been given that the math team math team sold 42 hamburger meals and 15 ribs meals at the pep rally for a total of $243. We can represent this information in an equation as:
[tex]42h+15r=243...(1)[/tex]
We are also told that math team also sold 36 hamburger meals and 30 ribs meals for a total of $294. We can represent this information in an equation as:
[tex]36h+30r=294...(2)[/tex]
We will use substitution method to solve our system of equations. From equation (1) we will get,
[tex]h=\frac{243-15r}{42}[/tex]
Substituting this value in equation (2) we will get,
[tex]36(\frac{243-15r}{42})+30r=294[/tex]
[tex]6(\frac{243-15r}{7})+30r=294[/tex]
[tex]\frac{1458-90r}{7}+30r=294[/tex]
Now let us have a common denominator.
[tex]\frac{1458-90r}{7}+\frac{7*30r}{7}=294[/tex]
[tex]\frac{1458-90r}{7}+\frac{210r}{7}=294[/tex]
[tex]\frac{1458-90r+210r}{7}=294[/tex]
[tex]\frac{1458+120r}{7}=294[/tex]
[tex]\frac{1458+120r}{7}\times 7=294\times 7[/tex]
[tex]1458+120r=2058[/tex]
[tex]1458-1458+120r=2058-1458[/tex]
[tex]120r=600[/tex]
[tex]\frac{120r}{120}=\frac{600}{120}[/tex]
[tex]r=5[/tex]
Therefore, the cost of 1 rib meal is $5.
Suppose there is a 1.1 degrees Fahrenheit drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 59.7 degrees Fahrenheit, what will be the temperature at the altitude of 11000 ft?
Answer:
47.6 Degree Fahrenheit
Step-by-step explanation:
Given:
The Airplane is on the ground level at a temperature 59.7 Fahrenheit. Every 1,000 feet there will be drop in temperature which is 1.1 degrees Fahrenheit.
Initial Temp = 59.7 Fahrenheit
Distance Covered = 11,000 Ft
Explanation:
This means the Ground level is zero feet as the Airplane stands there.
Later, it climbs into the sky with 11,000 altitude.
That is [tex]11 * 1000[/tex]
For every 1,000 there is decrease in temperature of 1.1 degree Fahrenheit
Therefore, 11 times the temperature will decrease
That is [tex]11 * 1.1[/tex]
12.1 Degree temperature will drop at 11,000 feet
Therefore
Temperature at 11,000 feet will be [tex]59.7 - 12.1[/tex]
47.6 Degree Fahrenheit
Answer:47.6
Step-by-step explanation:the airplane is on ground level at a temperature of 59.7 f every 1000 deggres will drop
0.67x0.3 showing work
The value of the expression 0.67 x 0.3 will be 0.201.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers are given below.
0.67 and 0.3
The product of the numbers 0.67 and 0.3 will be given by putting a cross sign between them. Then we have
⇒ 0.67 x 0.3
⇒ 0.201
The value of the expression 0.67 x 0.3 will be 0.201.
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A camera cost 115 Canadian dollars. If each Canadian dollar is worth 0.952 U.S dollars, how much will the camera cost in U.S dollars?
Answer: 109.48 U.S dollars.
Step-by-step explanation:
Given : A camera cost 115 Canadian dollars.
Also, The value of each Canadian dollar = 0.952 U.S dollars.
Then, 115 Canadian dollars=[tex]115\times0.952=109.48\text{ U.S dollars}[/tex]
Therefore, the cost of camera in U.S dollars = 109.48
Hence, the camera costs 109.48 U.S dollars.
Leroy works part time for a moving company. One day he had to move 34 boxes from a truck to inside a house. After moving some boxes, he took a break and told his boss that he has only 15 more boxes to move. Which equation can be solved to find how many boxes Leroy moved before his break?
Answer:
15 - x = 34
Step-by-step explanation:
I need the answer to RACING in Blue
Thanks
HELP ME PLEASE!!!!!!!! Evaluate. 2⋅(5855)
The explanation provides a step-by-step process to determine the minimum trips required for the miners to cross the river.
To determine the minimum number of trips required for the miners to cross the river, we need to carefully consider the constraints given.
First, A and B can cross together because the maximum combined weight of their cargoes is 90 kg (40 + 50) which is less than 100 kg.
Then, A returns alone, carrying B's cargo, leaving B and C on the other side. B and C cross together as the combined weight of their cargoes is 40 kg (20 + 20) which is less than 100 kg.
Finally, B returns and takes A's cargo, crossing with C's cargo. In total, the minimum number of trips needed is 9 (Option A).
at a park, there are 38 people playing tennis some or playing doubles and some are playing singles there are 13 matches in progress, A doubles match requires 4 players and a singles match requires 2 players.
a. write a system of two equations that represents the number of singles and doubles matches going on.
b. how many matches of each kind are in progress
At basketball camp, Kyle scored 4 more than one fifth as many points as Kurt. If Kyle scored 12 points, how many points did Kurt score?
Give an example of how prime factorization could be used in the real world.
Answer:
Prime Factorization can be used when we eat a cake. You have to figure out how many slices you need for each person. Also how many slices they eat, you will have to use math to come up with some daily life tasks.
Step-by-step explanation:
A rabbit can run 35 miles per hour.a fox can run 21 miles in half an hour. Witch animal is faster, and by how much?
100 envelopes cost you .70 what would 250 envelopes cost you
A home repair service company earned $990 performing annual inspections. They charged $55 for each inspection. How many inspections did they perform? 18 19 20 22
Answer:
I'm 100% sure that the answer is A. 18 (The first option)
256804 to nearest hundred thousand
Eleven minus the quotient of a number and 8 is 15
x/8-11=15
Quotient means to divide. So, the question is asking you to divide a number and 8. Then, subtract it from 8 to get the answer 15.
Chase answers 3/4 of his math questions correctly. There were 40 questions on the test.
a. How many did he get right?
b. How many did he miss?
What is the slope of the line passing through the points (−1, 3) and (4, −7) ?
A. −2
B. 3/4
C. − 4/3
D. 2
The slope of line passing through the points [tex]\left( { - 1,3} \right)[/tex] and [tex]\left( {4, - 7} \right)[/tex] is [tex]\boxed{ - 2}[/tex]. Option A is correct.
Further explanation:
The linear equation with slope m and intercept c is given as follows.
[tex]\boxed{y = mx + c}[/tex]
The formula for slope of line with points [tex]\left( {{x_1},{y_1}} \right)[/tex] and [tex]\left( {{x_2},{y_2}} \right)[/tex] can be expressed as,
[tex]\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}[/tex]
Given:
The passes through point is [tex]\left( { - 2, 2} \right).[/tex]
Explanation:
The passes through points are [tex]\left( { - 1, 3} \right)[/tex] and [tex]\left( {4, - 7} \right).[/tex]
The slope of the line can be obtained as follows,
[tex]\begin{aligned}m &= \frac{{ - 7 - 3}}{{4 - \left( { - 1} \right)}}\\&= \frac{{ - 10}}{{4 + 1}}\\&= \frac{{ - 10}}{5}\\&=- 2\\\end{aligned}[/tex]
The slope of line passing through the points [tex]\left( { - 1,3} \right)[/tex] and [tex]\left( {4, - 7} \right)[/tex] is [tex]\boxed{ - 2}.[/tex] Option A is correct.
Option B is not correct.
Option C is not correct.
Option D is not correct.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear equation
Keywords: numbers, slope, passes (-1,3), (4,-7), slope intercept, inequality, equation, linear inequality, y-intercept, graph, representation, origin, parallel.
The slope of the line passing through the given points (-1, 4) and (3, -7) is: A. −2
Given the following points:
Points on the x-axis = (-1, 4) Points on the y-axis = (3, -7)To find the slope of the line passing through the given points (-1, 4) and (3, -7):
The slope of a line refers to the gradient of a line and it is typically used to describe both the direction and steepness of an equation of a straight line.
Mathematically, the slope of a line is given by the following formula;
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substituting the given points into the formula, we have;
[tex]Slope. \;m = \frac{-7 \;- \;3}{4\; - \;[-1]}\\\\Slope. \;m = \frac{-10}{5}[/tex]
Slope, m = -2.
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A drought can cause the level of the local water supply to drop a few inches each week. Suppose the level of water supply drops 2 inches each week. How many will it change in 4 weeks?
What is 90 x 4 Divided bye 38
lester and kari are playing a number pattern game. kari wrote the following pattern. 45.5,49,52.5,__,59.5
what is the unknown number in the pattern kari wrote?
show work
Chris wants to order DVD’s over the internet.Each dvd cost $15.99 and shipping the entire order costs $9.99.If he can spend no more than $100,how many DVD’s could he buy (please so all work)
Answer: There are 3 DVD s that can be bought with under $100.
Step-by-step explanation:
Since we have given that
Cost of DVD = $15.99
Cost of Shipping = $ 9.99
Total cost per DVD would be
$15.99 + $9.99 = $ 25.98
Amount he has to spend no more than $ 100.
So, number of DVDs would be
100 ÷ 25.98 = 3.84
Hence, there are 3 DVD s that can be bought with under $100.
Chris can order 3 DVDs over the internet, if he spent $100.
Given here,
Cost of DVD = $15.99
Shipping Cost = $ 9.99
Amount spend = $ 100.
Total cost per DVD,
$15.99 + $9.99 = $ 25.98
So, number of DVDs would be buy,
100 ÷ 25.98 = 3.84
Therefore, Chris can order 3 DVDs over the internet, if he spent $100.
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What happened to the owl who swallowed a watch
cat weigh 12.37 pounds whats is the word formfor the value of the 7 in 12.37
The value of '7' in the number '12.37' is seven-hundredths (0.07).
Explanation:The student is asking for the word form for the value of 7 in the decimal number 12.37. In any decimal number, the first digit after the decimal point represents the 'tenths' place, and the second digit represents the 'hundredths' place. Thus, the '7' in 12.37 represents seven-hundredths. In another words, the digit 7 here carries the value of 0.07.
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What is 11 divided by 3
if a data set has 16 data values the number of values in the upper quartile is
Answer:
its 4
Step-by-step explanation:
What is 23.3 divided by 119?
Multiply.
(3.5×10−5)(3×10−10)
Express your answer in scientific notation.
A. 1.05×10−15
B. 1.05×10−14
C. 1.05×10−13
D. 1.05×1015
Answer:
option B
Step-by-step explanation:
Multiply.
[tex](3.5 \cdot 10^{-5})(3 \cdot 10^{-10})[/tex]
To multiply it we apply exponential property
First we multiply the number 3.5 and 3
3.5 times 3 is 10.5
Now we apply exponential property to multiply the exponents
[tex]a^m \cdot a^n = a^{m+n}[/tex]
[tex]10^{-5} \cdot 10^{-10}= a^{-5-10}=10^{-15}[/tex]
[tex](3.5 \cdot 10^{-5})(3 \cdot 10^{-10})[/tex]
[tex]10.5 \cdot 10^{-15}[/tex]
To get the expression in scientific notation we move the decimal point 1 units to the left
[tex]1.05 \cdot 10^{-14}[/tex]