Answer:
Required numbers are x = -0.5 and y =18.6
Step-by-step explanation:
Let the two numbers be x and y
Their sum is 18 i.e x+y= 18
4/7y-5x= 14
We need to find the numbers x and y
Solving both equations to find value of x and y
[tex]x+y= 18 ----(1)\\\frac{4}{7} y-5x= 14 ------(2)[/tex]
From equation 1 we can find value of x and put in equation 2 i.e
x=18-y
Putting the value of x in equation 2
[tex]\frac{4}{7}y-5(18-y)=14\\Solving:\\\\\frac{4}{7}y-90+5y=14\\\frac{4y-90*7+5*7y}{7}=14\\ \frac{4y-630+35y}{7}=14\\4y+35y-630=14*7\\39y=98+630\\y=728/39\\y=18.6[/tex]
Now finding x
[tex]x=18-y\\x=18-18.6\\x=-0.5[/tex]
So, Required numbers are x = -0.5 and y =18.6
The point-slope form of the equation of the line that passes through (-5, -1) and (10,-7) is
Y+ 7 = -
-- (x-10). What
is the standard form of the equation for this line?
O 2x - 5y = -15
2x - 5y = -17
2x + 5y = -15
2x + 5y = -17
Save and Exit
Answer:2x-5y=-15
Step-by-step explanation:
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What is the value of 9 + 21 (13 + 5)?
287
395
387
540
Answer: 387
Step-by-step explanation:
Please help! ! ! ! !
HELP AGAIN ANSWER THIS QUESTION
Answer:
A
Step-by-step explanation:
standard form of 4 + 3y - 2x = 0
Answer: 2x-3y=4
Hope this helps!! :)
Make x the subject of formula x²/a²+y²/b²=1
Answer:
x = ± [tex]\sqrt{\frac{a^2b^2-a^2y^2}{b^2} }[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2}{a^2}[/tex] + [tex]\frac{y^2}{b^2}[/tex] = 1
Multiply through by a²b² to clear the fractions
b²x² + a²y² = a²b² ( subtract a²y² from both sides )
b²x² = a²b² - a²y² ( divide both sides by b² )
x² = [tex]\frac{a^2b^2-a^2y^2}{b^2}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{a^2b^2-a^2y^2}{b^2} }[/tex]
In formula x²/a²+y²/b²=1
Value of x as subject, x = ± [a√(b² - y²)]/b
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.
Given equation,
x²/a² + y²/b² = 1
moving y²/b² to right side
x²/a² = 1 - y²/b²
multiplying a² on both sides
a². x²/a² = a². 1 - a². y²/b²
Simplifying
x² = a² - a²y²/b²
x = ± √(a² - a²y²/b²)
x = ± a√(1 - y²/b²)
x = ± [a√(b² - y²)]/b
Hence, value of x = ±[a√(b² - y²)]/b in formula x²/a² + y²/b² = 1
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*15 points* any help would be appreciated plz
Answer:
70 degrees because all of the angles in a triangle add up to 180 degrees150 degrees because the adjacent angle is 30 degrees110 degrees because the adjacent angle is 70 degrees50 degrees because angle 5 would also have to be 50 in order for all of the angles on that line to be 180 degreesStep-by-step explanation:
I hope this helps!!!!
What is the slope of the line that passes through the points (-8, 3) and (-8, 5)?
Answer:
The slope is undefined
Step-by-step explanation:
Slope (m) = infinity (undefined)
θ = π = 90°
2
distance (d) = 2
ΔX = 0
ΔY = 2
Find the cost of kg of apples and the cost of an orange using simultaneous equations method:
Please answer for a and b
Answer:
a
Step-by-step explanation:
a
Answer:
Step-by-step explanation:
a can't be an integer
8/√2 doesn't reduce to an integer. It will give you 4*√2 * √2/√2 = 4√2
-√18/√2 = -√(3*3*2)/√2 = -3(√2)/√2 = -3
At best you will get 4√2 - 3
a = 4√2
b = - 3
Edit
b is correct. the answer for b = -3
a can't be done giving an integer answer. My best guess is 4 but that is not the correct answer. You could write it as (4 - 3)√2
My advice to you is to present it to your instructor and see what he/she comes up with.
Please do for me thank you I am
4.) top row: 1, 2, 4, 6, 8, 10
bottom row: 25, 50, 100, 150, 200, 250
5.) top row: 1, 2, 4, 6, 8, 10
bottom row: 50, 100, 200, 300, 400, 500
Use the distributive property to expand 0.05(50 + 40).
Answer:
4.5
Step-by-step explanation:
Here's what I found on google about distributive property:
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Now for the math-
distribute the numbers- 0.05(50)+0.05(40)
solve- 0.05*50= 2.5
0.05*40= 2
2.5+2= 4.5
Hope this helps
Answer:
0.05(50)+0.05(40)
Step-by-step explanation:
Can someone please please help me. ?????
Answer:
#1
x intercept is -5
y intercept is -5
#2
y=8x
Step-by-step explanation:
x-2y = 3
2x + y = 11
What is the value of x
Answer:
x=5 y=1
Step-by-step explanation:
Like x^2-4x+3=0 or sin(x)=1.
short answer is that x equals 1.
A lab technician draws a sample of blood. A cubic millimeter of the blood contains 22^3 (the 3 is an exponent) white blood cells and 22^5 (the 5 is an exponent) red blood cells. What is the ratio of white blood cells to red blood cells?
Answer:
484 : 1
Step-by-step explanation:
We can write white blood cells to:
22^5 = 22 × 22 × 22 × 22 × 22
We can write red blood cells to:
22³ = 22 × 22 × 22
Thus, white : red equals
22 (5 times) : 22 (3 times)
22² : 22^0 = 484 : 1
I hope this helps you :)
The required ratio of white blood cells to red blood cells is 1:484.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
A cubic millimeter of blood contains 22³, white blood cells, and 22⁵ red blood cells.
The ratio of white to red blood cell is given as,
Ratio = 22³/22⁵
Ratio = 1 / 484
Thus, the required ratio of white blood cells to red blood cells is 1:484.
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In ABC the measure of the largest angle 32 less than 3 time the smallest angle the measure of the middle angle is 8 more than half the measure of the largest angle . What is the measure of the middle angle?
Answer: The measure of the middle angle = 52°
Step-by-step explanation:
Let x = Smallest angle.
largest angle = [tex]3x-32[/tex]
Middle angle= [tex]8+\dfrac12 (3x-32)[/tex]
Sum of all angles in a triangle is 180 degrees.
So, Smallest angle+ largest angle+ Middle angle = 180°
[tex]\Rightarrow\ x+8+\dfrac12 (3x-32)+3x-32=180\\\\\Rightarrow\ 4x-24+\dfrac{3x}{2}-16=180\\\\\Rightarrow\ \dfrac{2\times4x+3x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}-40=180\\\\\Rightarrow\ \dfrac{11x}{2}=220\\\\\Rightarrow\ x=\dfrac{220\times2}{11}\\\\\Rightarrow\ x= 40[/tex]
Now , Middle angle= [tex]8+\dfrac12 (3(40)-32)=8+\dfrac12 (120-32)[/tex]
[tex]=8+\dfrac12 (88)\\\\=8+44\\\\=52[/tex]
Hence, the measure of the middle angle = 52°
What are the stages of asthma? Which is worse?
Answer:
Mild Intermittent Asthma – No more than 2 Symptoms per week, no problems in between attacks which only last a few hours to at most a few days, less than 2 nighttime episodes per month.
Mild Persistent Asthma – Symptoms happen at least 2 a week but not more than once a day.
Moderate Persistent Asthma – There are symptoms every day and because of that you have to use rescue medication every day as well.
Severe Persistent Asthma – You can’t do that much physical activity and always have to carry around and often use a rescue device.
Step-by-step explanation:
Answer:
bop
Step-by-step explanation:
If we know that 5 cups of flour is used to make 20 biscuits, how many biscuits are made with 15 cups of flour?
Answer:
60 biscuits
Step-by-step explanation:
It is 60 biscuits because if 5 cups equals 20 then 15 equals 60 biscuits. If you do the math correctly you should get this answer!
60 biscuits are made with 15 cups of flour.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Number of biscuits used to make 5 cups of flour = 20.
To find the number of biscuits that are used to make 15 cups of flour.
Use ratio property,
Since, 5 cups of flour = 20 biscuit
⇒ 1 cup of flour = 20 / 5 biscuit = 4 biscuit
Therefore,
15 cups of flour = 15 x 4 = 60 biscuit.
Hence, 15 cups of flour are required to make 60 biscuits.
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Finding angles in measures using triangles
you can use this for help:
the interior angles of a triangle add up to 180°
So, Angle I + angle H + angle x =180°
60°+56°+x°=180°
116°+x°=180°
X=180-116
X=64°
Help me please!?!?!?!?????
Answer:
1
Step-by-step explanation:
7k - 12 when k=4
( 1/2) X+2y-6 for x=6 & y=5
please help lol im failing
Answer:
Take deep breaths and solve the problem.
Step-by-step explanation:
7.) A company sells cases of candy. The revenue generated by selling x cases is described by the
function R(x) = 60x. The cost to produce the cases is described by the function C(x)
= 35x + 200. The company's profit for selling the cases of candy is the difference between the
revenue and the cost amounts. Which function describes P, the profit function?
A. P(x) = 95x + 200
B. P(x) = 25x + 200
C. P(x) = 25x - 200
D. P(x) = 95x - 200
Answer:
D
Step-by-step explanation:
plz help ill give you brainliest for f
right answer
Help me with this please
ill mark brainlest if right
Answer:
I am super sure its A and C
Hope this helps :D
what is the solution to the inequality? 2 3/5
Answer: c b< 3 2/15
You exercise 24 hours each month for a year how many hours did you exercise by the end of the year you may be able to do the math mentally thanks to expand notation and the distributive property
Please help answer with the calculation with distribution and without distribution.
Answer:
288 hours
Step-by-step explanation:
So you have 24 per month. so month can be represented by x.
24x= y
Y is the amount of hours.
One year is 12 months. so plug 12 into x
24(12) =y
y= 288
An art teacher needs to cut out squares of paper for an art project from a left-over sheet of paper measuring 72 x 104 inches. What size would the biggest possible square be with sides of whole number length?
Answer:
7488 inches
Step-by-step explanation:
I think that this is the correct answer. The reason is that you have to multiply 72 x 104. I´m not 100% sure.
The required maximum area of the biggest possible square is with sides of a whole number length of 7396 inches².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
Area of the leftover sheet = 72 × 104 = 7488 inches²
area of the square = 7488
a² = 7488
a = 86.53
Somehow, for the biggest possible square to be with sides of whole number length,
The area is given as,
= 86²
= 7396 inches²
Thus, the required maximum area of the biggest possible square be with sides of whole number length 7396 inches².
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Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
92 degrees
Step-by-step explanation:
<HEF and <AED are vertical angles.