3. Which number is a distance of 4 units away from 2 and a distance of 2 units from -4?
HH
-6
-5
-4
-3
-2
-1
0
1
2.
3
4
5
6
Answer:
-2
Step-by-step explanation:
There are 90 girls and 60 boys in the sixth grade at a middle school. Of these students, 7 girls and 2 boys write left-handed. What percentage of the sixth graders at this middle school write left-handed?
Answer:
6%
Step-by-step explanation:
90 + 60 = 1507 + 2 = 9Set up a proportion: [tex]\frac{9}{150} = \frac{x}{100}[/tex] Cross multiply, then divide: 9 × 100 = 900, 900 ÷ 150 = 6So, 6% of students in 6th grade were left-handedI hope this helps!
Step-by-step explanation: Ok so if there are 90 girls and 7 are left handed u use this method 6/90 multiply by 100 and u get 7.77%
Miguel is designing shipping boxes that are rectangular prisms. One shape of the box with height h in feet, has a volume defined by the function V(h)=h(h-10(h-8). What is the height that would produce the maximum volume for the domain 0
Answer: 105ft^3
Step-by-step explanation:
Answer:
[tex]105ft^{3}[/tex]
Step-by-step explanation:
V(h) = h(–h + 10)(–h + 8)
Apply the distributive property to the right side and simplify.
V(h) = h(–h + 10)(–h + 8)
V(h) = {h(-h) + h(10)}(-h+8)
V(h) = (-h²+10h)(-h+8)
V(h) = (-h²)(-h) + (-h²)(8) + (10h)(-h) + (10h)(8)
V(h) = -8h² -10h² + 80h
V(h) = -18h² + 80h
Plug in the value of h from 1 to 9 (since 0<h<10) into the function V(h) = -18h² + 80h and create a table
h | V(h)
1 | 63
2 | 96
3 | 105 <------maximum volume is the highest y-value
4 | 96
5 | 75
6 | 48
7 | 21
8 | 0
9 | -9
The maximum volume for the domain 0<h<10 is 105 cubic feet.
Can someone help me please
===================================================
Work Shown:
For any triangle, the three interior angles always add to 180
(4x-12) + (6x-17) + (2x+5) = 180
(4x+6x+2x) + (-12-17+5) = 180
12x - 24 = 180
12x = 180+24 ..... adding 24 to both sides
12x = 204
x = 204/12 ..... dividing both sides by 12
x = 17
We can use this x value to find the three angles
4x-12 = 4*17-12 = 56
6x-17 = 6*17-17 = 85
2x+5 = 2*17+5 = 39
As a check,
56+85+39 = 180
which confirms we have the right x value.
We see that 56 is the middle angle, so this is the second largest angle.
Find the missing angle:
Answer:
40
Step-by-step explanation:
Use this picture as a reference.
So, using remote angles theorem, which states that; the angle formed from the extension of a side in a triangle is equal to the sum of the two angles which it does not make contact with, within the triangle. One can conclude that :
m< BCD = m<B + m<A
substitute:
m<BCD = 80 + 25
Simplify:
m<BCD = 105
Since it is given that m< BCE is 50, then one has to subtract m<BCE from m<BCD to get m<ECD
m<BCD - m<BCE = m<ECD
Subsitute:
105 - 50 = m<ECD
Simplify:
55 = m<ECD
Using the sum of angles in a triangle, which states that the sum of all the angles in a triangle is 180 degrees, one can say that:
m<D + m<ECD + m<E = 180
Substitute:
85 + 55 + m<E = 180
Simplify, inverse operations:
140 + m<E = 180
-40 -140
m<E = 40
write the slope - intercept form of the equation. PLEASE HELP. i will mark brainliest
Answer:
Step-by-step explanation: To find the equation of the perpendicular line, take the reciprocal of the slope with the opposite sign.
For example, the reciprocal of 4/3 is 3/4 and if it's negative, the opposite is positive.
The reciprocal of 2 is 1/2. and if it's positive, the opposite is negative.
The reciprocal of any number or fraction is whatever you multiply it by to get 1. 4 times 1/4 is 1 5/4 times 4/5 is 1. What about 1 ? 1 times 1 is 1. So one is its own reciprocal!
I hope this helps. (we're not supposed to give answers to t e s t s.)
You may use any notes from class or past assignments on this assessment. You may also use a
calculator. You may not look up any answers on the internet or use anyone else's work.
1.
The equation m=40g gives the distance in miles, m, that a car can travel using g gallons
of gas.
a. If the car has gone 140 miles, how much gas was used?
b. Write an equation that represents the inverse function: the gallons of gas as a
function of distance in miles.
Function C is defined by the equation cov) = 50 + 4y It mives the month con
If you have $25 and your friend wants to borrow $18 what percent of your money is he borrowing? *
Tony rents a bike that costs $4 per hour and $10 for the lock. He has $32 to spend. How long can he rent the bike? Write an equation that represents this situation. Be sure to explain how you got your equation and specify what the variables represent.
Answer:
5 hours; 4x+10=32
Step-by-step explanation:
4x = 4 multiplied by the amount of hours
10 = the cost for the lock
so y = 4x+10
In this case y= 32 so plug it in
4x+10=32
-10 -10
4x=22
/4 /4
x=5.5
So assuming you can only rent whole hours, it would be 5 hours
Hope this helps.
Answer:
he can rent the bike for 5 hours
Step-by-step explanation:
32-10=22
22*4=5
A fast food chain sells 4,500 hamburgers per hour worldwide. How many hamburgers does the fast food chain sell worldwide in 1 minute?
Answer:
75 hamburgers per minute
Step-by-step explanation:
We’ll it’s 4500 per hour, or every 60 minutes, to find 1 min, you can divide by 60.
4500/60 = 75
If 4/5 – 3/10 = x + 11/2, find the value of
X.
Answer:
x = 85/60 or 17/12
Step-by-step explanation:
4/5 - 3/10 = x + 11/12
=> 8/10 - 3/10 = x + 11/12
=> 5/10 = x - 11/12
=> x - 11/12 = 5/10
=> x = 5/10 + 11/12
=> x = 5 * 6 / 10 * 6 + 11 * 5 / 12 * 5
=> x = 30 / 60 + 55/60
=> x= 85/60
If my answer helped, kindly mark me as the brainleist !!
Thank You!!
Answer:
maybe -5
Step-by-step explanation:
4/5-3/10=x+11/2
1/2-11/2=x
-10=2x
x=-5
The problems in this lesson review basic arithmetic skills.
Answer:
false
Step-by-step explanation:
please help, the question says what statement best describes the placement of the lines Carson Drew
Answer:
Only line A is a well-placed line of best fit.
Step-by-step explanation:
I did this on Plato and got it correct.
There is ounce of yeast in every 2 teaspoons of yeast. A recipe for bread calls for 2 teaspoons of yeast. How many ounces of yeast are needed for this recipe?
2w^3 - 6w^3 what is the sum or difference?
Answer:
-4w^3
Step-by-step explanation:
Ocho veces un numero aumentado en 30 es igual a seis veces el mismo numero, aumentado en 50.¿De que numero se trata?
Answer:
25 sobre 117. no estoy segura pero eso es lo que gare llo
you and your friend are playing a number-guessing game. You ask your friend to think of a positive number, square the number, multiply the results by 2 and then add 3. your friend's final answer is 53.
Answer:
It is 5....
Step-by-step explanation:
The area of a square is 81 m ^ 2 what is the perimeter of the square? How do you know?
Answer:
Square root of 81 is 9
9 multiply with 4 is 36
Permiter is 36cm.
Thank you and please rate me as brainliest as it will help me to level up
helppppp please I will give brainliest
Answer:
y=1/3x-2
Step-by-step explanation:
A car travels 180 miles in 4 hours. What is
the car’s speed in feet per minute?
Answer:
3,960 feet per minute, brainliest pls
Step-by-step explanation:
Answer:
3960 feet per minute
Step-by-step explanation:
1 mile = 5280 feet
Therefore,
180 miles = 180*5280
180 miles = 950400 feet
1 hour = 60 minutes
So, 4 hours = 240 minutes
Speed if the car
= 950400/240
= 3960 feet per minute
Una parte de 25 000 dólares se invierte al 10% de interés, otra parte al 12 % y el resto al 16%. El ingreso anual total de las tres inversiones es de 3200 dólares. Además, el ingreso de la inversión al 16% es igual al ingreso de las otras dos inversiones combinadas. ¿Cuánto se invirtió a cada tasa de interés?
Answer:
$5000 at 10%, $10000 at 12% and 10000 at 16%Step-by-step explanation:
One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?==================
Let the parts be x, y and z
As per given we get below system of equations:
x + y + z = 250000.1x + 0.12y + 0.16z = 32000.1x + 0.2y = 0.16zSubstitute 0.1x + 0.2y in the second equation:
0.16z + 0.16z = 32000.32z = 3200z = 3200/0.32z = 10000Now we have:
x + y + 10000 = 25000 ⇒ x + y = 15000and
0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600Multiply the second equation and then subtract the first one:
10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000x + 1.2y - (x + y) = 16000 - 150000.2y = 1000y = 10000Then
x = 15000 - 10000 = 5000So the parts are:
$5000 at 10%, $10000 at 12% and 10000 at 16%Helps PLEASE?!
What is the equation of line A? and
What is the equation of line B?
Answer:
Line A: [tex]y=1.5x+1[/tex]
Line B: [tex]y=-1/3 x[/tex]
I hope this helps and good luck!
Write and algebraic expression for 10 less than the product of seven and F
Answer:
f(x) = 7x-10
Step-by-step explanation:
Complete question;
Write and algebraic expression for 10 less than the product of seven and a number.
Let the number be x;
The product of seven and the number is expressed as;
= 7 * x
= 7x
If 10 is less than the product of seven and a number then the expression becomes
7x - 10
The required algebraic expression is f(x) = 7x-10
Constant rate of 2/6, 4/12, 5/15, 6/8, 10/30
Answer:
ysME
Step-by-step explanation:
4. If f(x) = 5X + 8, g(x) = 7X -2 Find (f - g)(x)
Answer:
-2x+10
Step-by-step explanation:
f(x)=5x+8
g(x)=7x-2
(f-g)(x)= 5x+8-7x+2= -2x+10
Find: 11 3 ÷ 2 3 The quotient is 5 and .
Answer:
0.5
Step-by-step explanation:
The answer of this problem would be 5.5, so you are missing the 0.5
Answer :
1/2
Explanation :
Completed the assignment on Edge.
Mrs. Wheeler wants to cook a turkey for Thanksgiving dinner she knows that a 20 pound turkey Is enough to feed 16 people at this rate what size turkey will mrs. Wheeler need it 21 people are expected to come over for a dinner .
what is downpayment?
Answer:
Down payment is when you are trying to by something that is expensive up front like a house or a car. It is usually paid in cash or equivalent at the time of finalizing the transaction. A loan of some sort is then required to finance the remainder of the payment.
Step-by-step explanation:
One-third of a number t is equal to 7.
Write the word sentence as an equation then solve
Answer:
21
Step-by-step explanation:
One third of the number can be represented by 1/3t.
To make an equation, set this equal to 7.
1/3t = 7
Then, solve for t by dividing each side by 1/3:
1/3t = 7
t = 21
So, the number is 21.
How to solve (10 points)
Answer:
side 1: 10 = 15
side 2: 6 = 11
im not 100% sure this is correct
Step-by-step explanation:
13-8 = 5
so we add 5 on each side
10 + 5 = 15
6 + 5 = 11