Answer:
[tex]x=\frac{21}{4}[/tex]
[tex]y=\frac{21}{2}[/tex]
Step-by-step explanation:
equation (1): [tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]
equation (2): y=2x
solve the system by substitution
step1: sub (2x) for y in equation 1:
[tex]\frac{1}{2} (2x+y)=\frac{21}{2}[/tex]
[tex]\frac{1}{2} (2x+2x)=\frac{21}{2}[/tex]
step2: simplify the expression:
[tex]\frac{1}{2} (4x)=\frac{21}{2}[/tex]
[tex]2x=\frac{21}{2}[/tex]
(divide by 2 for both sides)
[tex]x=\frac{21}{4}[/tex]
To find the value for y sub 21/4 for x in equation 2:
y=2x
y=2×(21/4)
[tex]y=\frac{21}{2}[/tex]
What is the variable in the expression below?
3y?
Jamal has 30 ounces of a 20% saline solution. This means 20% of the solution is salt. He combines this solution with 25 ounces of a
30% saline solution
What is the total amount, in ounces, of salt in the combined moxture?
Answer:
13.5 ounces
Step-by-step explanation:
Find the solution to the following system of equations using substitution or elimination y=-2x+7 y=3x-8
Answer:
x = 3, y = 1
Step-by-step explanation:
By substitution since y = -2x + 7, substitute that for the 2nd y so
-2x +7 = 3x - 8, so x = 3, then substitute the 3 in any of the equations, so y = -2(3) + 7 is equal to 1
If you use elimination you can subtract the two equations from each other to get rid of the y so
y = -2x + 7
-y = -3x + 8
so 0 = -5x + 15, 5x = 15, x=3
please help! Ill mark brainliest if correct! help ASAP
Answer: 615
Step-by-step explanation: brainliest please
) Which of the following is the correct equation of a vertical line that contains (5, 6)?
Answer:
[tex]y = {x}^{2} - 11x + 30[/tex]
What is -3(4q-7) Bc I’m confused
Answer:
-3(4q-7)=
4q+3-7
4q-4
Help me with this problem please.
Answer:
I believe its 7?
Step-by-step explanation:
sorry if this is wrong
divide 220 in the ratio 3:8
Answer:
500/(7+3)=50; 3*50=150, 7*50=350. 150:350=3:7
Step-by-step explanation:
o Ayan sinolve kayan geh pa follow po
220 is divided in the ratio 3:8 as 60 and 160 respectively.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
The given ratio is 3:8 and the number is 220.
Here, 3+8=11
Now, 3/11 ×220
= 3×20
= 60
8/11 ×220
= 8×20
= 160
Therefore, 220 is divided in the ratio 3:8 as 60 and 160 respectively.
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Is this not 2? I got 2 and it was wrong
Answer:
Not Proportional
Step-by-step explanation:
Constant of proportionality is what you multiply with x to get y. This is not proportional since its not the same number each time
Answer:
i think its b
Step-by-step explanation:
reason is because 2 divided 2 is not 0 and 6 divided by 2 is not 4
sorry if its wrong ;(
The temperature at 12 am was 44 degrees. The temperature dropped steadily for the next 8 hours to reach the daytime low of 20 degrees. Solve for the hourly temperature change.
Answer:
-3 degrees per hour
Step-by-step explanation:
Points: (12,44) and (20,20)
Slope = -3
please help :) will mark brainliest
Answer:
I cant see your problome I dont know why but what is it
Step-by-step explanation:
Write the expression:
The quotient of the sum 3y and 5, and y squared.
Answer:
(3y + 5) / (y^2)
Step-by-step explanation:
Sorry it's not actually in fraction format. That little button thing is having troubles atm on my end. Hope this is okay
WHAT WOULD THIS BEE!
Answer:
98
Step-by-step explanation:
It would be the same amount because when the lines are parallel, the corresponding angles will also be the same.
We can tell the difference between the two types of angles (Supplementary and complementary) 98 and 82 would be the two types of angles.
So, the angle measure would be 98.
Find a quadratic polynomial with integer coefficients which has x = 2/9, ± SQRT23/9 as its real zeros.
Answer:
The quadratic polynomial with integer coefficients is [tex]y = 81\cdot x^{2}-36\cdot x -19[/tex].
Step-by-step explanation:
Statement is incorrectly written. Correct form is described below:
Find a quadratic polynomial with integer coefficients which has the following real zeros: [tex]x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}[/tex].
Let be [tex]r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9}[/tex] and [tex]r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9}[/tex] roots of the quadratic function. By Algebra we know that:
[tex]y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2}[/tex] (1)
Then, the quadratic polynomial is:
[tex]y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}[/tex]
[tex]y = 81\cdot x^{2}-36\cdot x -19[/tex]
The quadratic polynomial with integer coefficients is [tex]y = 81\cdot x^{2}-36\cdot x -19[/tex].
What is an equation of the line that passes through the points (-5, 6) and
(7, 6)?
Answer:
y = 6
Step-by-step explanation:
line of an equation: y = mx +c
where c is y-intercept, m is gradient and y and x are the y and x coordinates.
For finding the line of an equation we first find a gradient
gradient = (y2 -y1) / (x2 - x1)
so; (6-6) / (7-(-5)) = 0/12 = 0
next using any pair of coordinates we will find the c (y-intercept)
6= 0 (-5) + c
c = 6
so the equation will be
y = mx + c
(add the values you just found)
y = (0)x + 6 (since anything multiplied by 0 is 0 so we can write its like;)
y = 6
Write an Equation given the point (1, -1) and a rate of 2.
Answer:
y+1=2(x-1)
Step-by-step explanation:
use point slope form
Um I’m so confused , help ?
An angle measures 106.4° less than the measure of its supplementary angle. What is the measure of each angle
Answer:
The two supplementary angles are 10 and 170 degrees.
Step-by-step explanation:
Two angles are supplementary when that add up to 180 degrees. In this case, we are given that one of the two angles is 160 degrees more than the other. We can construct the following equation. x + ( x + 160 ) = 180 x
represents the degree measure of the smaller angle. Now, all we need to do is solve the equation for x. 2 x + 160 = 180 2 x = 20 x = 10
Now that we have the value of the smaller angle, we can easily solve for the larger angle. We are told that it is 160 degrees larger than the other one.
10 + 160 = 170. Therefore, the two supplementary angles are 10 and 170 degrees.
3 less than four-sevenths of x is y
y = 4/7x - 3
hope this helps
Answer:4/7-3
Step-by-step explanation:
Yep
expand 2x(3x+2y)
answer needed asap
Answer:
6x^2+4xy
Step-by-step explanation:
Hope that helps you out!
Answer:
Step-by-step explanation:
6x^2+4xy
What's the greatest number you can multiply by 8 to get close to, but not go over, 69?
Answer:
8x8=64
happy to help
Step-by-step explanation:
Answer:
you can do 8x8 bc 8x8=64
Step-by-step explanation:
The volume of a cylinder is 63 pi cm^3 . If the radius is 3cm, what is the height of the cylinder?
A. 3.5 cm
B. 21 cm
C. 10.5 cm
D. 7 cm
will give brainliest
Answer:
Step-by-step explanation:
volume = πr²h = π·3²h = 63π
h = 7 cm
The height of the given cylinder is 7 cm. Therefore, option D is the correct answer.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, the volume of a cylinder is 63π cm³ and the radius is 3 cm.
We know that, the formula to find the volume of a cylinder is πr²h.
Now, πr²h=63π
π×3²×h=63π
h= 7 cm
Therefore, option D is the correct answer.
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Theoretically, how many times will the spinner land
on the number 4 if it is spun 28 times?
How Many?pls help me.
Answer:
8
Step-by-step explanation:
Bernard built 15 model cars one year. He did not build as many model cars as his sister, Abby. In the inequality, n represents the number of model cars Bernard needed to build to have more than Abby.
Which number of model cars did Bernard need to build to have more model cars than Abby?
A.1
B.2
C.3
D.4
Answer:
The answer is 1
Step-by-step explanation:
Please help! I need the answers with an explanation to these questions ASAP. Thanks!
Question 1. What value could complete this given equation that would make it true for no values of x? Show or explain your thinking.
Question 2. What value could complete this equation that would make it true for every value of x? Show or explain.
Answer:
0
Step-by-step explanation:
Given equations is
x+2y=8,5x+10y=c
The equations a
1
x+b
1
y=c
1
and a
2
x+b
2
y=c
2
will have uique solutions if
a
2
a
1
=
b
2
b
1
=
c
2
c
1
but from equations,
a
2
a
1
=
5
1
,
b
2
b
1
=
10
2
,
c
2
c
1
=
c
8
∴
a
2
a
1
=
b
2
b
1
The given equations does not have unique solution, so the given statement is false, The correct answer is 0
can someone help me?
-2+(-8+9)=
Step-by-step explanation:
-2+(-8+9)
= -2+(1)
= -2+1
= -1
A circle has a radius of 14 feet. What is the exact area of the circle and what is the approximate area of the circle and What is the appropriate circumference of the circle.
Answer:
Step-by-step explanation:
Exact area of circle = πr² = 196π sq ft
Approximate area of circle = 615 sq ft
Approximate circumference = 2πr = 88 ft
Answer:
615.75ft²
Step-by-step explanation:
A=πr²=π·14²≈615.75ft²
Only 3% of turtle hatchlings will live to become breeding adults. How many turtles must have been born if the current number of breeding adults is 1,200?
Answer:
116400 I believe not 100% sure tho
The total number of turtles born is 40,000.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, only 3% of turtle hatchlings will live to become breeding adults.
The current number of breeding adults is 1,200
Let the total number of turtles born be t.
Now, 3% of t=1200
3/100 ×t=1200
3t=120000
t=40000
Therefore, the total number of turtles born is 40,000.
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there 6 more girls than boys in a class there 44 students in the class in all how many boys are there
Answer: 28 boys and 16 girls
Step-by-step explanation: Divide 44 by 2 to get 22 subtract 22 by 6 to get the girls and add 6 to 22 to get the boys.
Answer:
44% of the students of a class are girls. If the number of girls is 6 less than the number of boys, how many students are there in the class?
let x be the number of boys, so (x - 6) will be number of girls.
total number of students will be boys plus girls : x + (x - 6) = 2x - 6
now 44% are girls which come from formula no. of girls divide by total students into 100: (x - 6)/(2x-6)*100 = 44
by solving we get x = 28 (where x is number of boys)
now x - 6 = 28–6 = 22 (number of girls)
add both we get total number of students = 28 + 22 = 50
Answer = 50
Step-by-step explanation:
This is not the answer this is a example!