3y = 5
6 = 2x + 2
x = 2, y = 5/3
2x - 2 = 2 ←
Answer:
y = - 4
Step-by-step explanation:
3y = 2x - 6 ................. (1)
4x + 3y = - 24 ........... (2)
(1) ----> (2)
4x + ( 2x - 6 ) = - 24
6x - 6 = - 24
x - 1 = - 4
x = - 3
3y = 2 ( - 3 ) - 6
3y = - 12
y = - 4
( - 3 , - 4 )
The radius r of a sphere is 6 units. find the volume of a sphere right your answer in terms of π
Answer:
904.77
Step-by-step explanation:
(4/3) · π · r3 = (4÷3)×π×(6^3) = 904.778684 = 904.77
Find the volume of the prism.
6 m
7 m
8 m
Step-by-step explanation:
hello,
simply knowing the formula will lead you to the answer easily.
formula to find the volume of a prism:
v = bh, where b = base area and h = height.
here, in the picture given, the :
h of the prism = 6m
base area = length * width
b = 8 cm × 7 cm
b = 56 cm²
thus, using v = bh,
v = 56 × 6
v = 336 cm³
please try to understand, and let me know if you have any questions,
have an amazing day! au revoir!
What is the value of a?
a-470°
a+250°
a-45°
a =
Answer:
a = 117°
Step-by-step explanation:
The exterior angle of a triangle = the sum of the remote interior angles.
a + 25° = (a - 47°) + (a - 45°)
a + 25° = (a + a) + (-47 - 45)
a + 25° = 2a - 92°
-2a = -2a
-a +25 = -92
-25 = -25
-a = -117°
a = 117°
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
Answer:
the answer is 2
im sure of it
WILL GIVE A BRAINLY AND THANKS
Answer:
190
Step-by-step explanation:
If the ratio is given 1:200
x : 38000 = 190 times the ratio 1:200
1*190 : 200 * 190
190 : 38000
The answer is 190 security personnels
Hope this helps :)
Have an excellent day!
Write the equation of the lines described.
The line has a y-intercept of (0,3) and goes
through the point (2,7)
Answer:
y=2x+3
Step-by-step explanation:
Hi there!
We want to write the equation of the line
We are given that the y-intercept of the line is (0,3) and that the line also goes through the point (2,7)
There are many ways to write the equation of the line, but the most common way is slope-intercept form, which is given as y=mx+b, where m is the slope and b is the y intercept
The value of b is actually the value of y in the point making point of the y intercept
In this case, that point would be 3
So the value of b in this case is 3
Substitute 3 as b into the equation:
y=mx+3
Now we need to find m
As the equation passes through the point (2,7), we can use it to help solve for the value of m
Substitute 2 as x and 7 as y into the equation:
7=2m+3
Subtract 3 from both sides
4=2m
Divide both sides by 2
m=2
Substitute 2 as m into the equation:
y=2x+3
Hope this helps!
Take a look here if you wish to have a similar problem for practice (n.b., the solution uses a different method than the one shown here): https://brainly.com/question/7457022
Help is it A or B? pls help
Answer:
[tex]f(x)=-(x+8)(x-2)[/tex]
Step-by-step explanation:
Start by factoring out a -1...
[tex]f(x)=-(x^2+6x-16)[/tex]
Now, we have to find two integers that multiply to get -16 and have a sum of 6:
(-2)*8=-16
-2+8=8-2=6
Using this, we can split 6x into -2x and 8x...
[tex]f(x)=-(x^2-2x+8x+16)[/tex]
Factor the first and second half separately...
[tex]f(x)=-[(x^2-2x)+(8x-16)]\\f(x)=-[x(x-2)+8(x-2)]\\[/tex]
Since both x and 8 are being multiplied by x-2, we can combine them to get...
[tex]f(x)=-(x+8)(x-2)[/tex]
devin runs 12 minutes per mile, and jack runs at 10 minutes per mile, how long will it take jack to catch devin? estimate your answer using the graphing method
12x-10x=2x
2XAfter 2 minutes per mile
HELP ASAP PLEASE For the inequality, find two values for x that make the inequality true: x+3<70
A. 80
B. O
C. 70
D. 60
E. 69
Answer:
b,d
Step-by-step explanation:
80+3= 83 false
0+3=3 true
70+3= 73 false
60+3=63 true
69+3= 72 false
Hope this helps
[tex]\large\text{Hey there!}[/tex]
[tex]\large\textsf{x + 3}<\large\textsf{70}\\\\\huge\textbf{SUBTRACT 3 to BOTH SIDES}\\\\\large\textsf{x + 3 - 3}<\large\textsf{70 - 3}\\\\\huge\textbf{CANCEL out: 3 -3 because it give you 1}\\\\\huge\textbf{KEEP: 70 - 3 because it help what is}\\\huge\textbf{being compared to the x-value}\\\\\large\text{NEW EQUATION: \textsf{x}} < \large\textsf{70 - 3}\\\\\large\text{SIMPLIFY IT!}\\\\\large\textsf{x}< \large\textsf{67}\\\\\huge\textbf{Thus, your answer is: \boxed{\mathsf{x < 67}}}\huge\checkmark[/tex]
[tex]\large\textbf{It is an (O)(P)(E)(N) circle shaded to the LEFT side of the}\\\large\textbf{number starting at point 67.}[/tex]
[tex]\large\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]The ratio of the measures of three sides of a triangle is 2:5:4, and its perimeter is 154 units. Find the measure of each side of the triangle.
Answer:30, 75, 60.
Step-by-step explanation:
A square based tent house has length of base 20m and it is in the form of cuboid upto the height of 10m and then a pyramid with equal base. The tent house contains4800m3 air. Find the total cost of canvas required to make the tent at the rate of Rs 15 per square meter.A square based tent house has length of base 20m and it is in the form of cuboid upto the height of 10m and then a pyramid with equal base. The tent house contains4800m3 air. Find the total cost of canvas required to make the tent at the rate of Rs 15 per square meter. helpp
The total cost of canvas required to make the tent at the rate of Rs. 15 per square meter is; Rs. 24,997
What is the area of a composite shape?We are told that the bottom part of the tent house is a square cuboid up to a height of 10 m.
Thereafter, it is a pyramid.
Now, formula for volume of a cuboid is;
V = lwh
V = 20 * 20 * 10
V = 4000 m³
Formula for volume of a pyramid is;
V = lwh/3
V = (20 * 20 * h)/3
V = 400h/3
Total volume is 4800 of the entire tent house. Thus;
4000 + (400h/3) = 4800
400h/3 = 800
h = (800 * 3)/400
h = 6 m
Now, from online calculation, the surface area of the pyramid excluding the base is;
TSA_p = 466.48 m²
Total surface area of cuboid excluding the top is;
S.A = 1200 m²
Total surface area of canvas = 1200 + 466.48 = 1666.48 m²
Since cost per sq.m is Rs. 15 per m², then;
Total cost = 15 * 1666.48
Total Cost = Rs. 24,997
Read more about Total Cost at; https://brainly.com/question/25109150
Melissa collected the data in the table. When x = 4, what is the residual? –3 –1 1 3.
The residual value when the value of x = 4 is -1, the correct option is B.
Given
Melissa collected the data in the table.
Residual valueThe difference between the observed value of the dependent variable (y) and the predicted value (ŷ) is called the residual.
The value of x= 4 then the value of residual is given by;
[tex]\rm Residual=Given - predicted \ value[/tex]
Here, given is 9 and the predicted value is 10 for x =4.
Substitute all the values in the formula;
[tex]\rm Residual=Given - predicted \ value\\\\\rm Residual=9-10\\\\\rm Residual=-1[/tex]
Hence, the residual value when the value of x = 4 is -1.
To know more about residual value click the link given below.
brainly.com/question/15996059
Answer:
B
Step-by-step explanation:
Tell how much each person gets when they share equally.
2 sisters share 3 hours of babysitting.
Solve using substitution.
y = –8x − 10
y = –6x − 6
Answer:
(-2,6)
Step-by-step explanation:
Since both of the equations are equal to y, we can set these equations equal to each other. This means that the new equation using substitution is -8x-10=-6x-6.
To solve, first, add 10 to both sides-8x=-6x+4
Next, add 6x to both sides-2x=4
Finally, divide both sides by -2x=-2
This means that the x value is -2. Then, to find the y value, substitute -2 into the first equation (the second equation also works if you want to). So, the equation looks like y=-8(-2)-10. Solve this and it gives you y=6. Therefore, the final coordinate pair is (-2,6).
Tessa wants to separate 187 ears of corn into bags of 6 ears each. She has 35 bags. Estimate to find whether Tessa has enough bags. Explain.
Answer:
The answer is 228 bags left
A city has a population of 260,000 people. Suppose that each year the population grows by 5.25 . What will the population be after 13 years?
Use the calculator provided and round your answer to the nearest whole number.
Answer:
494,314
Step-by-step explanation:Rounding to the nearest whole person, 494,314 people in 12 years.
Can someone please help Tysm!!
Answer:
[tex]y - 6 = 5[/tex]
equation are màthematical statements containing two algebraic expression on both sides of an "equal to (=)" sign.
Answer:
the answer is C/3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
v/5-4-(v/4)=0
v
Simplify —
4
v v
(— - 4) - — = 0
5 4
STEP 2:
v
Simplify —
5
Equation at the end of step
2
:
v v
(— - 4) - — = 0
5 4
STEP 3:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
4 4 • 5
4 = — = —————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
v - (4 • 5) v - 20
——————————— = ——————
5 5
Equation at the end of step 3:
(v - 20) v
———————— - — = 0
5 4
STEP 4:
Calculating the Least Common Multiple :
4.1 Find the Least Common Multiple
The left denominator is : 5
The right denominator is : 4
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
5 1 0 1
2 0 2 2
Product of all
Prime Factors 5 4 20
Least Common Multiple:
20
Calculating Multipliers :
4.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 4
Right_M = L.C.M / R_Deno = 5
Making Equivalent Fractions :
4.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. (v-20) • 4
—————————————————— = ——————————
L.C.M 20
R. Mult. • R. Num. v • 5
—————————————————— = —————
L.C.M 20
Adding fractions that have a common denominator :
4.4 Adding up the two equivalent fractions
(v-20) • 4 - (v • 5) -v - 80
———————————————————— = ———————
20 20
STEP 5:
Pulling out like terms :
5.1 Pull out like factors :
-v - 80 = -1 • (v + 80)
Equation at the end of step 5:
-v - 80
——————— = 0
20
STEP 6:
When a fraction equals zero :
6.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
-v-80
————— • 20 = 0 • 20
20
Now, on the left hand side, the 20 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-v-80 = 0
Solving a Single Variable Equation:
6.2 Solve : -v-80 = 0
Add 80 to both sides of the equation :
-v = 80
Multiply both sides of the equation by (-1) : v = -80
When a number is trebled and then decreased by 5, the answer is 19. find the original number.
Answer: i think 8
Step-by-step explanation: trebled means three times so 8x3=24 then 24-5=19
The lengths of a lawn mower part are approximately normally distributed with a given mean Mu = 4 in. And standard deviation Sigma = 0. 2 in. What percentage of the parts will have lengths between 3. 8 in. And 4. 2 in. ? 34% 68% 95% 99. 7%.
Empirical rule is defined for normal distributions. The percentage of the parts the lengths between 3.8 inches and 4.2 inches lie is: Option B: 68%
What is empirical rule?According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]
where we had
[tex]X \sim N(\mu, \sigma)[/tex]
where mean of distribution of X is [tex]\mu[/tex] and standard deviation from mean of distribution of X is [tex]\sigma[/tex]
For the given case, as it is given that the lengths of a lawn mower part are approximately normally distributed, let its lengths be tracked by a random variable X
Then, [tex]X \sim N(\mu =4, \sigma = 0.2)[/tex]
The needed percentage is
[tex]P(3.8 < X < 4.2)[/tex]
We can rewrite it as:
[tex]P(4-0.2 < X < 4 + 0.2)[/tex]
This is the percent of values lying under one standard deviation about the mean of X. Using the empirical rule, we get the percentage as:
[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%[/tex]
Thus,
[tex]P(4-0.2 < X < 4 + 0.2) = 68\%[/tex]
Thus, The percentage of the parts the lengths between 3.8 inches and 4.2 inches lie is: Option B: 68%
Learn more about empirical rule here:
https://brainly.com/question/13676793
find rate of change!! basic algebra
The slope of these lines is -17/7
The graph of y = e^xis transformed as shown in the graph below. Which equation represents the tra
function?
Answer:
[tex]y=e^x+3[/tex]
Step-by-step explanation:
By inspection, we can see that the curve crosses the y-axis at (0, 4)
Therefore, when x = 0, y = 4
Inputting x = 0 into the equations:
[tex]y=e^{x-3} \implies y=e^{-3}[/tex]
[tex]y=e^x+3 \implies y=e^0+3=1+3=4[/tex]
[tex]y=e^{x+3} \implies y=e^4[/tex]
[tex]y=e^{x-3}+3^3=e^{-3}+27[/tex]
Therefore, the only equation that gives y = 4 when x = 0 is [tex]y=e^x+3[/tex]
Check option B
[tex]\\ \rm\longmapsto y=e^x+3[/tex]
Put values
[tex]\\ \rm\longmapsto y=e^0+3=1+3=4[/tex]
Hence option B is correct
PLS HELP HURRYYY (100 POINTS)
Answer:
I think that the selected answer is correct
Step-by-step explanation:
Answer:
Its step 3 which needs correction.
Step-by-step explanation:
step 3 is deeply a mistake, the step 3 correction is correct that the total sum of interior angles which is 180 degrees is equal to the angle of total straight line angle. Step 2 is correct that when angle m plus angle p sums, they mix up to 180 degrees and its adjacent supplementary angles.
Helen earns $7.50 an hour at her job, but if she works more than 35 hours in a week, she is paid 1over 1/2 times her regular salary for the overtime hours worked. One week her gross pay was $386.25. How many overtime hours did she work that week?
Answer:
11 hours
Step-by-step explanation:
$386.25 - (35 x $7.50) = $123.75 <--- overtime
$7.50 x 1.5 = $11.25
$123.75 / $11.25 = 11 hours overtime
how do you find A? will give brainliest.
Answer:
a = -2/9
Step-by-step explanation:
Locate two points that cross grid intersections and compute the slope of the line between them. I would choose the vertex (4, 4) and the point (-5, 2) as being points where the graph crosses grid intersections.
The slope of the line between those points is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (2 -4)/(-5 -4) = -2/-9 = 2/9
We note that this representation of the absolute value function appears inverted (reflected across the x-axis). That means the coefficient 'a' will be negative. The slope of an unmodified absolute value function is -1 to the left of the vertex. It will only be 2/9 if the function has been multiplied by -2/9.
a = -2/9
__
Additional comment
The vertex on the graph is at (4, 4), so the values of (h, k) are (4, 4).
Answer:
[tex]-\frac{2}{9}[/tex]
Step-by-step explanation:
Using the points (-5,2) and (4,4), the slope is given as 2/9. This is an absolute value graph, so from this information the slope is either 2/9 or -2/9. The graph faces downwards, so the slope is negative and therefore [tex]-\frac{2}{9}[/tex].
ray is not part of a line.
true or false
Answer:
false
Step-by-step explanation:
ray is a part of a line
hope it helps
For a ΔABC, ∠A + ∠B + ∠C = .......................
PLS ANSWER AS SOON AS POSSIBLE
180°
sum of angles of triangle = 180°
Answer:
∠A + ∠B + ∠C = 180⁰
Step-by-step explanation:
The sum of the angles in a triangle is 180. This sum is a semicircle or a straight angle. The angle of the semicircle is × 360⁰.
________________
Find a polynomial that represents the area of the triangle in inches.
Answer:
(3x²-3.5x+1)in²
Step-by-step explanation:
area of a triangle = ½(base × height)
= ½(2x-1)(3x-2)
= ½(6x²-4x-3x+2)
= ½(6x²-7x+2)
= 3x²-3.5x+1
A polynomial that represents the area of the triangle is (3x²-3.5x+1)in²
which is greater 5/7 or 3/4?
Answer:
3/4
Step-by-step explanation:
common denominator is 28
20/28 and 21/28 so 3/4 is greater
5/7 = 0.71
3/4 = 0.75
¾ is greater.
- Toodles!~
OABC is a trapezium.
D is the point on OB such that OD : DB = 2:3
E is the point on BC such that BE : EC = 1:4
Work out the vector of DE in terms of a & b. Give your answer in its simplest form.
Answer:
DE = 2/5a + bStep-by-step explanation:
Find OB:
OB = a + bFind BC:
OB + BC = OCa + b + BC = 3bBC = 2b - aFind DB:
OD/DB = 2/3 ⇒ OD + DB = OB ⇒ 2x + 3x = OB ⇒ 5x = OB ⇒ x = OB/5DB = 3x = 3/5 OB = 3/5(a + b)Find BE:
BE/EC = 1/4 ⇒ BE + EC = BC ⇒ x + 4x = BC ⇒ 5x = BC ⇒ x = 1/5 BCBE = x ⇒ BE = 1/5 BC ⇒ BE = 1/5(2b - a)Find DE:
DE = DB + BEDE = 3/5(a + b) + 1/5(2b - a) DE = 1/5(3a + 3b + 2b - a)DE = 1/5(2a + 5b)DE = 2/5a + bCan anyone help me with this?
[tex]\\ \rm{:}\rightarrowtail tan50=\dfrac{p}{12}[/tex]
[tex]\\ \rm{:}\rightarrowtail p=12tan50[/tex]
[tex]\\ \rm{:}\rightarrowtail p=12(1.19)=14.3[/tex]
Now
Area=
1/2×Base×Height[tex]\\ \rm{:}\rightarrowtail \dfrac{1}{2}(12)(14.3)=6(14.3)=85.8cm^2[/tex]