Answer:
9
Step-by-step explanation:
Five more than seven time a number is ninerty-six.what is the number?
Answer:
5x + 6 ≥ 21
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
10
−
3
x
=
−
2
(
x
+
4
)
Answer:
x = 18
Step-by-step explanation:
10 − 3x = − 2 (x + 4)
=> 10 − 3x = -2x - 8
=> x = 18
Hoped this helped.
Answer:
x = 18
Step-by-step explanation:
10 - 3x= -2(x+4)
First, we solve inside the parentheses.
10 - 3x= -2x - 8
Like terms:
-3x + 2x= -10 - 8
-x/-1 = -18/-1
x = 18
ΔABC is an equilateral triangle with AD perpendicular to BC. Prove that ΔADB ≅ ΔADC.
Step-by-step explanation:
An equilateral triangle means all sides are congruent.
AB≅BC≅AC
All angles are also congruent.
∠ABC≅∠BCA≅∠CAB
AD being perpendicular makes it a bisector of both BC and ∠CAB.
BD≅CD
∠BAD≅∠CAD
Now, there are multiple ways to prove that ΔADB≅ΔADC. All 3 sides and all 3 angles of both triangles are congruent, so you could do it however you want.
1) ASA (one of the possible ASA combinations)
∠ABD ≅ ∠ACD because this is an equilateral triangleBD ≅ CD because AD bisects BC∠BDA ≅ ∠CDA because AD is perpendicular to BC, both 90°2) HL (again, one of the multiple possible HL combinations)
AD is perpendicular to BC, creating 2 right trianglesAB ≅ AC because ΔABC is equilateralAD ≅ DA by the reflexive property, it is congruent to itselfThere are many more but I won't write them all out.
The mean vitamin C level for 20 dogs was 7.6 milligrams per liter, with a standard deviation of 2.1 milligrams per liter.
One dog’s vitamin C level was not in the normal range. It was 0.9 milligrams per liter, which is a very low level of vitamin C.
If the value 0.9 is eliminated from the data set, does the mean increase or decrease?
Your answer:
I will give you 5.0 and a thanks and maybe brainliest
Answer: The mean increases.
Step-by-step explanation:
The value of 0.9 mg/L is very low compared to a means of 7.6 mg/L with a standard deviation of 2.1 mg/L. It seems as though it is an outlier that is suffiently different from the others, and probably should be dropped from the data set. That would do 2 things: 1) the stabdard deviation will likely decrease, indicating a more confident data set, and 2) the mean vitamin C level will increase.
Use substitution to solve the system. 5X+3Y=22 Y=2X-11
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.
Comprehending
We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.
This is what we would call System of Equations where we need to find the point where the lines hit.
We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.
Now that we know how to solve it/what to do, we can start solving.
Solving
We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.
[tex]y=2x-11\\5x+3y=22[/tex]
We can solve it by inserting our y value into the y value of the second equation.
[tex]5x+3(2x-11)=22\\5x+6x-33=22\\11x=22+33\\11x=55\\x=5[/tex]
Now that we know our x value, we can solve for y by inserting it into an equation.
[tex]y=2(5)-11\\y=10-11\\y=-1[/tex]
Now that we have solved, we have gotten out point of (5,-1)
We can test this by inputting it into an equation. (Any of the latter).
[tex]5(5)+3(-1)=22?\\25-3=22?\\22=22[/tex]
Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).
Answer:
(5, - 1 )
Step-by-step explanation:
5x + 3y = 22 → (1)
y = 2x - 11 → (2)
Substitute y = 2x - 11 into (1)
5x + 3(2x - 11) = 22 ← distribute parenthesis and simplify left side
5x + 6x - 33 = 22
11x - 33 = 22 ( add 33 to both sides )
11x = 55 ( divide both sides by 11 )
x = 5
Substitute x = 5 into (2)
y = 2(5) - 11 = 10 - 11 = - 1
solution is (5, - 1 )
An open box with a volume of 128 cm3 can be made
by cutting a square of the same size from each corner
of a square piece of metal 12 cm on a side and folding
up the edges. What is the length of a side of the square
that is cut from each corner?
Answer:
sorry hindi amo marunong ng math
The length of the side of the square that is cut from each corner will be 2 cm or 8 cm.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
Volume has units of cube example meter³,cm³, etc.
The volume of the cuboid = length × height × width.
The volume of the cube = side³.
Suppose the length of the metal square piece is L = 12 cm and the width of the cut is h as shown below,
Volume of the box = (L - 2h)² × h
(12 - 2h)² × h = 128
4h(6 - h)² = 128
h(36 + h² - 12h) = 32
h³ - 12h² + 36h - 32 = 0
(h - 2)(h² - 10h + 16) = 0
(h - 2)(h² - 8h - 2h + 16) = 0
(h - 2)(h(h - 8) - 2(h - 8)) = 0
(h - 2)(h - 2)(h - 8) = 0
h = 2,8
Hence "The length of the side of the square that is cut from each corner will be 2 cm or 8 cm".
To learn more about volume,
https://brainly.com/question/1578538
#SPJ2
Which inequality is a true statement?
Select each correct answer.
−4 = −5
−4 ≤ −5
−4 < −5
−4 > −5
−4 ≥ −5
Answer:
i think -4>-5
Step-by-step explanation:
because (-4)is greater than (-5)
4. Elie took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each. How much did she have left at the end of the trip?
Answer:
$16
Step-by-step explanation:
32×5=160
6×4=24
160+24=184
200-184=16
Elie was left with $16 at the end of the trip
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Elie who took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each.
Assume that she is left with $[x]. Then, we can write the equation as -
x = 200 - {(32 x 5) + (6 x 4)}
x = 200 - {160 + 24}
x = 200 - 184
x = 16
Therefore, Elie was left with $16 at the end of the trip.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
Solve each question with the quadratic formula
6a² + 10 = 0
I know the answer but I'm not to sure how imaginary roots work. I would really appreciate if someone could explain how imaginary roots work! :)
Answer:
[tex]\boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]
[tex]\boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]
Step-by-step explanation:
[tex]\sf 6a^2 + 10 = 0[/tex]
We'll solve this equation using The Quadratic Formula:
[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac} }{2a} }[/tex]
[tex]\sf 6a^2 + 10 = 0[/tex]
Substitute 6: a, 0: b, 10: c
[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{0^2-4\times 6\times 10} }{2\times 6}[/tex]
→ Square 0
→ Multiply -4 * 6= -24
→ Multiply -24 * 10 = -240
[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{-240} }{2\times 6}[/tex]
→ Take the square root of -240:
→ Multiply 2 * 6= 12
Now, Separate solutions:
[tex]\longmapsto\sf a=\cfrac{0\pm 4\sqrt{15i} }{12}[/tex]
Now, Separate solutions:
First, solve the equation when ± is plus:
[tex]\longmapsto \boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]
___
Now, solve it when ± is minus:
[tex]\longmapsto \boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]
__________________________________________
[tex]\sf\longmapsto 6a^2+10=0[/tex]
a=6b=0c=10[tex]\sf\longmapsto a=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex](This a is root of equation)
[tex]\sf\longmapsto a=\dfrac{-0\pm\sqrt{0^2-4(6)(10)}}{2(6)}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{-240}}{12}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{240}i}{12}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm 4√15i}{12}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm √15i}{3}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm √3√5i}{3}[/tex]
[tex]\sf\longmapsto a=\pm\dfrac{√5i}{\sqrt{3}}[/tex]
[tex]\sf\longmapsto a=\pm\sqrt{\dfrac{5}{3}}i [/tex]
What is i?i stands for iota.
[tex]\sf\longmapsto i=\sqrt{-1}[/tex]
!!NEED ASAP!!
The London Eye is Europe's
largest Ferris wheel with a
diameter of 120 meters. It takes
30 minutes for the wheel to make
one full rotation. If the wheel is
running continuously, how far will
a passenger travel in 40 minutes?
Round your answer to
the nearest tenth.
Diameter = 120m
Circumference = (120 · π) m
(40 min) / (30 min/rotation) = 4/3 rotation
Passenger travel = (4/3) · (120π) = 160π meters = 502.7 meters
Check the number or numbers that are in the solution set of the equation
below.
7x > 42
A. 14
B. 5
C.35
D. 6
E. 12
F9
Answer:
A, C, E, F
Step-by-step explanation:
when you multiply the numbers with 7 the answer is greater than 42
Find the value of x and thank for answer
Miss Reyes earns $3500 per month from which income tax is deducted at 30%. Calculate her net pay.
Answer: 3395 dollars
Step-by-step explanation:
First, the question said that Miss Reyes earns 3500 dollars. But the tax is 30%. Than, the tax is 3500 times to 30%. If you calculate it, it will be 105 dollars. Now, we can subtract the 105 from 3500. It equals to 3395 dollars.
Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy
has ninety-five dollars left, his friend has forty dollars. How much money did Tommy have before buying the
ple.
Answer:
$102
Step-by-step explanation:
if Tommy spent 7 dollars on pie, that means he had more money than that amount before.
So before he spent 7 dollars, he had those 7 dollars.
Add 7 with 95
95 + 7 = 102
What is the range of the function graphed below
4223422222222222222222222222
Answer:
-3<y<=3
Step-by-step explanation:
The function ranges from - 3 to 3,but 3 is included
levi finds a skateboard that sells 139.99. the store charges 6% sales tax about how much money will he have to spend for his skateboard?
The amount Levi spends on this skateboard is $148.39.
Tax is an amount levied on goods and services by the government. Taxes increases the price of goods and services.
The amount Levi spends on this skateboard = value of the tax + cost of the skateboard
value of the tax = 6% x $139.99
0,06 x $139.99 = $8.40
The amount Levi spends on this skateboard = $8.40 + $139.99 = $148.39
To learn more about taxes, please check: https://brainly.com/question/19540033
Andrew is starting his own lawn mowing business. He will charge $13.00 per hour. If Andrew works 67.4 hours per week, how much money will he earn each week?
By computing the product between his hourly wage and the number of hours he works per week, we will see that his weekly pay is $876.20
We know that Andrew charges $13.00 per hour, and we know that, in a week, he works for a total of 67.4 hours.
Then the money that he earns each week is just the product between the amount he wins per hour and the number of hours that he works each week.
This gives:
($13.00 h^-1)*(67.4 h) = $876.20
This means that Andrew wins $876.20 per week with this job.
If you want to learn more, you can read:
https://brainly.com/question/503614
I don’t understand this someone please help
Answer: table 1 is 35 and table 2 is 1.301
Step-by-step explanation:
Help finding surface area
Answer:
471.23 km²
Step-by-step explanation:
This is a cylinder.
Here's the formula to the the surface area of a cylinder.
[tex]Surface\:\:Area\:\:\:= 2\pi r(r+h)[/tex]
They have given the the diameter of the circle .
There fore we have to find the radius .
d = 2 r
10 = 2 r
5 km = r
Let's find the Surface area now.
[tex]2\pi r(r+h)[/tex]
[tex]2 *\pi *5(5+10)[/tex]
[tex]10\pi *15[/tex]
[tex]150 \pi[/tex]
471.23 km²
Hope this helps you.
Let me know if you have any other questions :-)
The width of a rectangle measures (10p + 6) centimeters, and its length
measures (2p – 10) centimeters. Which expression represents the
perimeter, in centimeters, of the rectangle?
-
Answer:
24p-8
Step-by-step explanation:
Perimeter just means add up all the sides
(10p+6)+(2p-10)+(10p+6)+(2p-10)
= 24p-8
PLEASE HELP ME OUT!
25 cm = ______ mm
15 g = ______ mg
Answer:
25cm = 250mm
15g = 1500mg
Step-by-step explanation:
cm to mm = multiply by 10
therefore 25 x 10 = 250
g to mg = multiply by 1000
therefore 15 x 1000 = 15000
a purple paint mixture calls for 4 pints of blue paint for every 3 pints of red. how many pints of blue paint do you need,if you use 6 pints of red?
Answer:
You will need 8 pints of blue paint!
Step-by-step explanation:
At the first the problem shows us the purple paint mixture needs 4 pints of blue and 3 pints of red if the red has 6 pints which is doubled you should also double the blue paint! Hope this helps please mark the brainliest it means a lot to me and thanks! <3
Answer:
8 pints
Step-by-step explanation:
The purple paint mixture needs 4 pints of blue and 3 pints of red, and if the red paint has 6 pints that is doubled. You should also double the blue paint.
The explains how the answer is 8
now, this katie girl stop deleting my answer-
PLEASE HELP! NEED IT NOW!
Calculate the circumference and area of a circle with the given measure. Use 3.14 for p.
a. radius = 3 cm
b. diameter = 4 ft
Answer:
ok
Step-by-step explanation: 3cm i believe
Please answer the question which is attached.
solve pls brainliest
1. None, it makes a cylinder
2. C
3. B
4. A
HELPPPPP ASAP!!!! I’m on a limit
Answer:
look at the photo.........expand and simplify 4(x+3)+4(x+5)
What series of transformation will not map figure H onto itself
Answer:
D
Step-by-step explanation:
Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2)
Consider option D.
1st transformation will map vertices of the square into points
....2nd transformation = reflection over y = -x + 2 will map vertices into points ....These points are not the vertices of the initial square.
I hope it helps.
please help question 20 due on monday
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It's letter C. Good luck
how many trees will be planted when 5 are cut down