Answer: 2.5 gallons
Step-by-step explanation:
Given that:
Gallons of paint had = 6.25 gallons
Amount needed to paint room = 2/5 of the paint
Gallons of paint needed :
2/5 of 6.25
(2 * 6.25) / 5 gallons
= 12.5 / 5
= 2.5 gallons
Find the missing length of the right triangle.
a
21
35
Answer:
28
Step-by-step explanation:
Use the pythagorean theorem and solve for a:
a² + b² = c²
a² + 21² = 35²
a² + 441 = 1225
a² = 784
a = 28
So, the missing length is 28.
Martha drew a pair of intersecting non-perpendicular lines, I and m. She numbered one pair of vertical angles <1 and <2, and she labeled the second pair of vertical angles <3 and <4. Martha made the conjecture that <1 =~ <2 to validate this conjecture, which of the following would be appropriate reasoning?
A. M<1+ M<2 +M<3 + m<4 = 360
B. The sum of the measures of angles of a triangle is 180°
C. The measure of all right is 90°
D. Because <1 and <2 are each supplementary to <3, they are therefore congruent
Answer:
D. Because <1 and <2 are each supplementary to <3, they are therefore congruentStep-by-step explanation:
A. m<1 + m<2 + m<3 + m<4 = 360
Incorrect in terms of the proofB. The sum of the measures of angles of a triangle is 180°
Not relevantC. The measure of all right is 90°
Not relevantD. Because <1 and <2 are each supplementary to <3, they are therefore congruent
CorrectA teachers monthly gross pay is $5,321. The federal government withholds 15% of the teachers monthly gross pay from income taxes. How much does the teacher pay in income tax every month??
Answer:
$798.15Step-by-step explanation:
Given
Monthly gross pay is $5,321Income tax = 15%Amount of tax paid every month:
$5321*0.15 = $798.15Try finding how many meters they travel in ONE second) Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels 22 meters in 10 seconds.
Answer:
Mai travels 2.5 meters in 1 second
Priya travels 2.2 meters in 1 second
Step-by-step explanation:
Try finding how many meters they travel in ONE second) Mai and Priya were on scooters.
For Mai
Mai traveled 15 meters in 6 seconds.
Hence,
6 seconds = 15 meters
1 second = x meters
Cross Multiply
6x = 15 meters
x = 15/6
x = 2.5 meters
Hence, Mai travels 2.5 meters in 1 second
For Priya
Priya travels 22 meters in 10 seconds.
Hence,
10 seconds = 22 meters
1 second = x meters
Cross Multiply
10x = 22 meters
x = 22/10
x = 2.2 meters
Hence, Priya travels 2.2 meters in 1 second
A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?
pls help I'm being timed
Answer:
It would cost $ 408.04 to travel 2727 miles
Divide total miles by miles per gallon:
2,727 / 27 = 101 gallons.
Multiply total gallons by price per gallon:
101 x 4.04 = $408.04 Round as needed.
Identify the domain of the graph.
Answer:
Domain is 0 to 50.
Step-by-step explanation:
[tex]0 \leq x \leq 50[/tex]
Point A has coordinates (6,4) and point B has coordinates (2,7) write AB as column vector. Plz plz plz
Answer:
[tex]\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}[/tex]
Step-by-step explanation:
Column Vector
Vectors are matrices having only one column or one row. A vector having only one column is called a column vector, and a vector having only one row is called a row vector.
It's required to find the vector AB as a column vector, and we are given the coordinates of A=(6,4) and B=(2,7).
The vector directed from A to B is found by subtracting its corresponding coordinates:
[tex]\overrightarrow{AB }=<2-6,7-4>[/tex]
[tex]\overrightarrow{AB }=<-4,3>[/tex]
Now we express the vector as a one-column matrix as follows:
[tex]\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}[/tex]
A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11). Show clearly that x^2+12x-220=0 solve the equation by factorisation, making sure you show the factorisation. Finally, find the dimensions of the cuboid,
Answer:
[tex]x^2+12x-220=0[/tex] -- Proved
[tex]x = 10\ \ \ x = -22[/tex]
Step-by-step explanation:
Given
[tex]Volume = 924cm^3[/tex]
[tex]Dimension: 4cm; (x+1)cm; (x+11)cm[/tex]
Required
Show that [tex]x^2+12x-220=0[/tex]
The volume is calculated as:
[tex]4 * (x + 1) * (x + 11) = 924[/tex]
Open the brackets
[tex](4x + 4) * (x + 11) = 924[/tex]
[tex]4x^2 + 44x + 4x + 44 = 924[/tex]
[tex]4x^2 + 48x+ 44 = 924[/tex]
Collect Like Terms
[tex]4x^2 + 48x+ 44 - 924=0[/tex]
[tex]4x^2 + 48x -880=0[/tex]
Divide through by 4
[tex]\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0[/tex]
[tex]x^2+12x-220=0[/tex]
Solving further:
Expand the expression
[tex]x^2 + 22x - 10x - 220 = 0[/tex]
Factorize:
[tex]x(x + 22) - 10(x + 22) = 0[/tex]
[tex](x - 10)(x + 22) = 0[/tex]
Split:
[tex]x - 10 = 0;\ \ \ x + 22 = 0[/tex]
[tex]x = 10\ \ \ x = -22[/tex]
What are the roots of the polynomial equation: 4k - 144 = 0 Show all of your work!
Answer:
k = ±6
Step-by-step explanation:
guess your question is 4k²–144 = 0??
4k² = 144
k² = 36
k²–36 = 0
(k+6)(k–6) = 0
k+6 = 0 | k–6 = 0
k = –6, k = 6.
Alternatively; k = ±6.
Mrs smith has 3/5 pounds of beans he used 1/4 pounds of beans each week at this rate how many full weeks will his beans last
Answer:
2 weeks
Step-by-step explanation:
3/5 = .6 and 1/4 = .25. 0.25 can only be subtracted from .6 two times.
The table below shows the number of teachers with different hair colors at a school.
Answer:
whats the drop down answers
Step-by-step explanation:
A-1 Deli sells jugs of iced tea that they have marked up 150% above their wholesale cost of $0.80 per jug. They also charge sales tax of 9%. What is the total cost of a jug of iced tea from A-1 Deli?
$1.27
$1.31
$2.00
$2.18
Answer:
$2.18
Tell me if I'm wrong :) Hope this help too!
Step-by-step explanation:
Answer:
Option 4: $2.18
Step-by-step explanation:
Lets first analyse our given information. We know that:
- Original Cost Per Jug: $0.80
- Mark Up cost: 150%
- Sales Tax: 9%
Write the word sentence as an inequality.
A number is less than or equal to 5.
Answer:
x ≤ 5
Step-by-step explanation:
This one is pretty easy
At 9am you have run 2 miles. At 9:24 you have run 5 miles. What is your running rate in minutes per mile?
Answer:
8minutes per mile
Step-by-step explanation:
You ran 3 miles since 9am divide 24 by 3 to get 8 minutes
given STU and DEF , what is m < U ?
can i get help i posted this twice now.
Answer:
u=47
Step-by-step explanation:
...................
The measure of angle U is 74 degrees.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
to determine the measure of angle U:
From the question, we have the following parameters that can be used in our computation:
△PQR ≅ △STU
If m ∠P = 62 degrees and m ∠Q = 45 degrees
The above parameters mean that
P = S Q = T and R = U
So, we have
U = R = 180 - P - Q -- by the angles in a triangle theorem
So, we have
U = 180 - 61 - 45
= 74
Evaluate
U = 74
Hence, the value of m ∠U is 74 degrees
Read more about angles at
brainly.com/question/7620723
#SPJ5
Find x and y. Please help!!
Step-by-step explanation:
3y+48=90
3y=90-48
3y=42
y=14 degree
12+2x+3x+90=180
5x+102=180
5x=180-102
5x=78
x=15.6 degree
What is 20% of 14.98
Answer:
2.996
Step-by-step explanation:
14.98 * 0.20 = 2.996
Hope this helps!
The ratio of an object's weight on Earth to its weight on Venus is 8:7. How much would a 160 pound man on Earth weigh on Venus?
Answer:
Weight On Venus: 144.67 lbs
Step-by-step explanation:
Weight on Venus= (Weight on Earth/9.81m/s2) * 8.87m/s2
Solve this question.
Answer:
Q||R
(11x-28) +(7x-8) = 180 ( co. interior.angle)11x -28+7x-8 =18011x-7x-28-8=1804x-36=1804x=180+364x = 216x = 216/4 x = 54Answer:
Q||R
(11x-28) +(7x-8) = 180
x = 54
Step-by-step explanation:
Let x = 4. Evaluate the expression. x−3
Answer:
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Put 4 in place of x
x - 3 = 4 - 3 = 1
please help me out with this problem!
Answer:
-7 × 6
Step-by-step explanation:
-7×6 = -42
-7+6= -1
hope u can understand
A triangle with vertices at (1,1), (1,-3), and (3,-3) is acute. In complete sentences, explain whether this statement is true or false, and explain why?
9514 1404 393
Answer:
False; the triangle is "right"
Step-by-step explanation:
The segments lying on lines x=1 and y=-3 make a right angle with each other. The triangle is a right triangle, not an acute triangle.
f(x)= −x^2+10x−6
Find f(−5)
Answer:
f(-5) = -81
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -x² + 10x - 6
f(-5) is x = -5
Step 2: Evaluate
Substitute: f(-5) = -(-5)² + 10(-5) - 6Exponents: f(-5) = -(25) + 10(-5) - 6Multiply: f(-5) = -25 - 50 - 6Subtract: f(-5) = -75 - 6Subtract: f(-5) = -81If the population changes by 2.5% per year, what percentage does it change in 5 years
Answer:
12.5%
Step-by-step explanation:
A number reduced by 15 results is 14.
Which equation models this sentence?
0 m - 14 = 15
0 15 - m = 14
0 14 - m = 15
Om – 15 = 14
Answer:
number 2 [0 15 -m = 14] that should be it| n-3 |=2 solve and show work please
Answer:
n = 5 ; n = -1
Step-by-step explanation:
n - 3 = 2
When you transfer (-3) to the other side of the equation, it turns into (+3).
n = 2 + 3
Evaluate.
n = 5
n + 3 = 2
When you transfer (+3) to the other side of the equation, it turns into (-3).
n = 2 - 3
Evaluate.
n = -1
Answer:
x=5
x=1
Step-by-step explanation:
|x-3|=2
x-3=2
x-3=-2
x=5
x=1
Find the perimeter and the area of a rectangle with the sides of 3 3/10 meters and 6 2/3 meters. what is the area of the rectangle in meters
Answer:
area=22 peremeter=19 14/15
Step-by-step explanation:
Answer:
22 and 19 14/15
Step-by-step explanation:
What is the value of x?
Answer:
35+35=70.....180-70=110....x=110
5w-5w= combine like terms to simplify
Answer:
0
Step-by-step explanation:
It may say combine, but it`s subtraction soooo it`s 0.
in a small bag there are 3 skittles and 7 m&ms . in a large bag there are 60 skittles and some proportionate amount of m&ms how many pieces of total candy are in the large bag? ANSWER ASAP PLEASE
Answer:
There will be 200 pieces of candy in the big bag.