[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]
Let us take ,
First integer be x .Second integer be y .Also let us consider x > y .
According to first Condition :-
⇒ x - y = 1.
⇒ x = y + 1. .............(i)
According to second Condition :-
⇒ x × y = 30 .
⇒ ( y + 1 )y = 30 . [ From (i) ]
⇒ y² + y = 30.
⇒ y² + y - 30 = 0 .
⇒ y² + 6y - 5y -30 = 0.
⇒ y ( y + 6 ) -5 ( y + 6 ) = 0 .
⇒ ( y + 6 ) ( y - 5 ) = 0 .
[tex]\red{\bf \longmapsto y = 5 , (-6)}[/tex]
Here y can sustain both values 5 and minus 6 as y is an integer.
So , x = -6 , 5 .
Hence possible answers are ,
[tex]\boxed{\purple{\bf x = -6 , y = -5 }}[/tex]
[tex]\qquad\qquad\qquad \bf Or [/tex]
[tex]\boxed{\purple{\bf x = 6 , y = 5 }}[/tex]
.
Stacy has 6 fewer than half as many marbles as Mallory .If Stacy has thirty marbles how many does Mallory have
Answer:
72
Step-by-step explanation:
Stacy has 30 marbles
Let m= the number of marbles that mallory has
stacy has 1/2 m -6
30 = 1/2 m -6
Add 6 to each side
30+6 = 1/2m
36 = 1/2m
Multiply each side by 2
72 = m
Mallory has 72 marbles
Answer:
72
Step-by-step explanation:
I'm cool and the guy above me stinko
So Can anyone help me with this
Some teenagers collected trash for a beach clean-up. The data for the number of pounds of trash collected by each teenager are shown below.
26, 26, 21, 22, 20, 25, 35
What is the range of the data?
Answer:
D. 15 pounds
Step-by-step explanation:
35-20=15
The range of the data that represents the number of pounds of trash collected by each teenager is 15.
What is the range of a data set?The range is the difference between the Maximum value of the data set and the Minimum value of the dataset. Therefore, we can write the range as,
Range = Maximum value of the data set - Minimum value of the dataset
Given the data for the number of pounds of trash collected by each teenager as 26, 26, 21, 22, 20, 25, and 35.
Now, from the data, the Maximum value of the data set is 35 and the Minimum value of the dataset is 20. Therefore, we can write the range of the data set as,
Range = Maximum value of the data set - Minimum value of the dataset
= 35 - 20
= 15
Hence, the range of the data that represents the number of pounds of trash collected by each teenager is 15.
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two angles of a triangle measure 12° and 40° what id the measure of the third angle of the triangle
Answer:
128
Step-by-step explanation:
The sum of angles in the triangle is 180 degrees
12 + 40 + x = 180
52 + x = 180
x= 180 - 52 = 128 degrees
(x is the third angle of the triangle)
Credit: study1104 for the answer: they originally answered this question, though i copy and pasted to help you with your assignment! Hope this helps, wanted to include credit so your aware where the answer came from!!
Which of the following options best describes a line graph?
a) graph comparing quantities represented by bars
b) graph showing trends in categorical data
c) graph that displays the rate of change of two variables
d) graph comparing the rate of change of two or more quantities
Answer:
i hope im not to late but i think its c
❤
A line chart is a graph that shows the rate at which two variables evolve.
Option c) is correct.
Define Graph.A graph is a representation of the relationship among different sets of numbers or measures.
A graph is just a data structure made up of a finite number of nodes (or vertices) and the edges that link them.
A line chart is a graph that shows the rate at which two variables evolve.
So, option c) is correct.
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2) Jamie studies her Social Studies vocabulary for 30 minutes and studies 15
her Math problems for 15 minutes. After several days, she has studied her
Math problems for 60 minutes. How many minutes did Jamie study her
Social Studies vocabulary in the same time period?"
Your answer
This is a required question
Answer:
2 hours or 120 minutes
Step-by-step explanation:
So, let's assume that she studies the same amount each day. If she has studied math for a total of 60 minutes, she should have studied for 4 days because 60 (total) divided by 15(time each day) would equal to 4 (period of time). So we have to multiply 30 minutes by 4 (period) to get 120 minutes, which is 2 hours.
Choose the scenario that could be represented by ſ
A. Five bottles of water are shared equally by two teammates.
B. Two people share five oranges equally.
C. Five granola bars are divided equally between two friends.
D. Two yards of fabric are used to make five place mats.
Answer:
D. Two yards of fabric are used to make five place mats.
Step-by-step explanation:
Given
[tex]Scenario = \frac{2}{5}[/tex]
Required
Select the option that describes the scenario
Options A, B and C do not describe the given scenario.
because they all represent
[tex]Ratio = \frac{5}{2}[/tex]
Analyzing D:
We have the following:
Yards = 2
Place Mats = 5
[tex]Ratio = \frac{Yards}{Place\ Mats}[/tex]
[tex]Ratio = \frac{2}{5}[/tex]
Compare this ratio with the given scenario, we have:
[tex]Ratio = Scenario= \frac{2}{5}[/tex]
VODY VON
Dom
18. Mr. Cook's class has a female student to male student ratio of 3:2. If Mr. 5 points
Cook's class has 18 girls, how many boys does he have?
17 boys
5 boys
12 boys
16 boys
The quadratic function modeling the height of a ball over time is symmetric about the line , where t is time in seconds. Which statement is true about this situation?
A.
The height of the ball is the same after 1 second and 3 seconds.
B.
The height of the ball is the same after 0 seconds and 4 seconds.
C.
The height of the ball is the same after 0.5 second and 5.5 seconds.
D.
The height of the ball is the same after 1.5 seconds and 3.5 seconds.
Answer:
A. The height of the ball is the same after 1 second and 3 seconds.
Step-by-step explanation:
The quadratic equation function modeling is used to analyze the relationship between variables in the equation. If the ball is at height and t is time then the ball is on symmetric line which will move for initial 1 second then stabilizes at 3 seconds.
Please help 60 Points!!!!!!!! my school is glitched :C
Answer:
its the two that are glitched because its not any of the other ones
Step-by-step explanation:
Answer:
reload
Step-by-step explanation:
the circumference of the circle is 23 inches what is the radius of the circle?
Answer:
The radius is 3.66 if you need to round it would be 3.70.
Step-by-step explanation:
r= c/2[tex]\pi[/tex]
23/2pi= 3.66
The radius of the circle for the circumference of the circle is 23 inches is,
⇒ r = 3.66 inches
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
The circumference of the circle is 23 inches.
Now, We know that;
The circumference of the circle = 2πr
Where, r is radius of the circle.
Hence, We get;
⇒ 2πr = 23
⇒ πr = 23/2
⇒ 3.14 × r = 11.5
⇒ r = 11.5 / 3.14
⇒ r = 3.66 inches
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How many liters are in 120 quarts?
1 qt ≈ 0.95 L
Answer:
114 liters
Step-by-step explanation:
120 x 0.95 = 114
I need help please help me out .
Einstein's equation relating mass and
energy is given by the formula E = mc,
where m is the mass of an object and
<= 3 x 10 ms', the speed of light.
a Find how much energy is present in
a 1 kg mass. (1 kg ms-'= 1 joule)
(2 marks)
Six and forty-two ten-thousandths as a decimal
help me idk what it is
the answer is the bottom one on the first row
(-7, 13); slope = -2 Write the equation of the line in slope-intercept form with the given point and slope or two points.
Answer:
y=-2x-1
Step-by-step explanation:
13=-2*-7+b
13=14=b
-1=B
The equation of the line in the slope-intercept form will be 2x+y+1=0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that,
The coordinate of the points are (x,y) = (-7, 13)
Slope, m = -2
The standard equation of a line is,
y = mx+c
Substitute the given coordinate value in order to find the intercept value as
13=-2×-7+c
13-14=c
-1=c
Put the values in the standard equation,
y = mx+c
y=-2x-1
Thus, the equation of the line in the slope-intercept form will be 2x+y+1=0.
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Carlos was baking 1,000 cookies for a yard sale. 3 people bought 82 cookies each. How many cookies does Carlos have left? Explain.
Answer: 754
Step 1: Multiply 82 x 3.
82 x 3 = 246.
Step 2: Subtract 246, because he sold this much cookies.
1,000 - 246 = 754
Answer = 754.
Hope this helps you!
Answer:
First we need to multiply 3x82. 3x82=246 now we need to subtract 246 from 1,000. 1,000-246=754
Step-by-step explanation:
An airplane leaves a runway at an angle of 0 .when the airplane has reached an altitude of 5000 feet it has traveled 10,000 feet in the direction it took off.At what angle (0) did the airplane leave the runway ?
Answer: no
Step-by-step explanation: if it left then it would have to be angled at least a little bit.
Simplify: (8u^3−9u^2y)−(−4uy^2−8y^3)+(10u^2y+11uy^2).
Answer:
8u
3
+10u
2
y
−
˙
9u
2
y+11uy
2
+
˙
4uy
2
+8y
3
Answer:
[tex]8u^{3}+u^{2} y+15uy^{2}+8y^{3}[/tex]
Step-by-step explanation:
You must combine like terms:
[tex](8u^{2}-9u^{2}y)-(-4uy^{2}-8y^{3})+(10u^{2}y+11uy^{2})= \\8u^{3} -9u^{2} y+4uy^{2} +8y^{3}+10u^{2}y+11uy^{2}\\\\10u^{2}y-9u^{2} y= u^{2}y \\4uy^{2}+11uy^{2}= 15uy^{2} \\\\8u^{3} -9u^{2} y+10u^{2} y+4uy^{2} +11uy^{2} +8y^{3} =8u^{3} +u^{2} y+15uy^{2} +8y^{3}[/tex]
1,265.19 is what percent of 699
Answer:
1,265.19 is 181% of 699Step-by-step explanation:
Calculate the ratio of 1265.19 and 699, then convert it to a percent (multiply by 100%):
[tex]\dfrac{1,265.19}{699}=1.81\\\\1.81\cdot100\%=181\%[/tex]
Which term describes −8/27?
Answer:
8/27. Though the question is a bit confusing. If your asking which term describes it, its this a multiple choice question?
Step-by-step explanation:
8 /27
is already in the simplest form. It can be written as 0.296296 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions :
Find the GCD (or HCF) of numerator and denominator
GCD of 8 and 27 is 1
Divide both the numerator and denominator by the GCD
8 ÷ 1
27 ÷ 1
Reduced fraction:
8 /27
Therefore, 8/27 simplified to lowest terms is 8/27.
Answer:
-8/27
Step-by-step explanation:
What is 120 divided by 55
Answer:
2.2
..................
120/55
A snail travels 10 cm and 4 minutes at this rate how long will it take for the snail to travel 24 cm?
Answer:
It will take 9.6 minutes to travel 24 cm.
Step-by-step explanation:
(;;;
Answer:
9.6 minutes.
Step-by-step explanation:
First we need to find how many minutes it takes the snail to travel 1 cm.
to do this we need to divide the time it takes by the distance traveled.
4 ÷ 10 = 0.4. So, the snail takes 0.4 minutes to travel 1 cm.
Next we need to find how long it takes to travel 24 cm.
to do do that we need to multiply how long it takes the snail to travel 1 cm by the number of cm it needs to travel.
0.4 x 24 = 9.6. So, it takes the snail 9.6 minutes to travel 24 cm.
Please Solve as Fast as You Can
If the point (3, -2) is reflected across the y-axis, what are the coordinates of the reflected point?
Answer:
flips the sign of the opposing coordinate (-3,-2)
Step-by-step explanation:
The cost of the lunches for the field trip can be represented by the expression:
4(29) + 4(6)
Identify the values to make these expressions true.
Expand 29 to create an equivalent expression with friendly numbers.
40 ) + 4(6)
Distribute the 4
Evaluate the multiplication
80 + 36 + 24 =
Answer: 4(20+9)+4(6) thats the first one
4(20)+4(9)+4( 6) thats the second one
80+36+24=140 that is the third
Step-by-step explanation:
Answer:
4(20+9)+4(6)
4(20)+4(9)+4( 6)
Step-by-step explanation:
Please help ASAP 50 pts
Answer:
Answer is C
Step-by-step explanation:
I learned this in algebra
Answer:
c. If two distinct planes
Find the slope of f(x)=5x-4
Answer:
5
Step-by-step explanation:
Answer:
slope, m = 5
Step-by-step explanation:
Recall that the slope-intercept form of a linear equation can be written:
y = mx + b or f(x) = mx + b
where m is the slope of the line.
in our case, we are given
f(x) = 5x - 4
if we compare this with the general equations above, we can see that
slope = m = 5
hence the slope is 5
select all of the lines that have a slope of 2/5
the slope 2/5 is written in the formula rise/run. So u can use this method to determine which line has a slope of 2/5.
Factors are the numbers used to multiply. True False
Answer:
True
Step-by-step explanation