Answer:
We have 31/36 gallons of paint left after painting the mural.
Step-by-step explanation:
"Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction."
==================================================================
First change each number into a improper fraction:
1 1/8 = 9/8
1 1/9 = 10/9
7/8 = 7/8
=================================================================
"If Mark has 9/8 gallons of yellow paint, and he uses 3/4 gallons"
-We have to multiply 3/4 by 2/2 to make the denominators same.
3/4 × 2/2 = 6/8
Now subtract 6/8 from 9/8.
9/8 - 6/8 = 3/8
We will have 3/8 gallons of yellow paint.
==================================================================
"If Mark uses 10/9 gallons of green paint, and he uses 3/4 gallons"
- We have to multiply 10/9 by 4/4, and 3/4 by 9/9, to get a common denominator.
10/9 × 4/4 = 40/36
3/4 × 9/9 = 27/36
Now subtract 27/36 from 40/36
40/36 - 27/36 = 13/36
We will have 13/36 gallons of green paint.
==================================================================
"If Mark uses 7/8 gallons of blue paint, and he uses 3/4 gallons"
-We have to multiply 3/4 by 2/2 to get a common denominator.
3/4 × 2/2 = 6/8
Now subtract 6/8 from 7/8.
7/8 - 6/8 = 1/8
We will have 1/8 gallons of yellow paint.
==================================================================
Now, we will add the leftover amounts of paint to find the answer.
3/8 + 13/36 + 1/8
Add "like terms".
4/8 + 13/36
Simplify 4/8 into 1/2
1/2 + 13/ 36
Multiply 1/2 by 18/18 to get a common denominator.
1/2 × 18/18 = 18/36
Substitute 18/36 as 1/2 in the expression.
18/36 + 13/36 = 31/36
So, We have 31/36 gallons of paint left after painting the mural.
==================================================================
Hope I helped, Have a nice day!
-Aadi x
Determine which equation has the same solutions as the given equation.
x – 10k- 11=0
O A. (x-10)2 = 36
B. (x - 10)2 = 21
OC. (x - 5)2 = 21
OD. (x - 5)2 = 36
Answer:
D
Step-by-step explanation:
Maria’s phone bills were $95, $67, $43, and $115. What was the mean, or average, of her phone bills?
Answer:
the mean is $80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Mean of Phone Bills =
[tex] \frac{phone \: bills \: total}{number \: of \: phone \: bills} \\ = \frac{95 + 67 + 43 + 115}{4} \\ = \frac{320}{4} \\ = 80[/tex]
Find the product: (6x+5)(2x−7)
Two people start biking from the same point. One heads east at 13 mph, the other south at 18 mph. What is the rate at which the distance between the two people is changing after 25 minutes and after 35 minutes? What is the rate at which the distance between the two people is changing after 25 minutes?
Answer:
[tex]22.21\ \text{mph}[/tex]
[tex]22.2\ \text{mph}[/tex]
Step-by-step explanation:
[tex]\dfrac{da}{dt}=13\ \text{mph}[/tex]
[tex]\dfrac{db}{dt}=18\ \text{mph}[/tex]
[tex]\dfrac{dc}{dt}[/tex] = Rate at which the distance between the two people is changing
At 25 minutes
[tex]a=13\times \dfrac{25}{60}=5.417\ \text{miles}[/tex]
[tex]b=18\times \dfrac{25}{60}=7.5\ \text{miles}[/tex]
[tex]c=\sqrt{5.417^2+7.5^2}\\\Rightarrow c=9.25\ \text{miles}[/tex]
Distance between the two people is
[tex]c^2=a^2+b^2[/tex]
Differentiating with respect to time we get
[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{5.417\times 13+7.5\times 18}{9.25}\\\Rightarrow \dfrac{dc}{dt}=22.21\ \text{mph}[/tex]
Distance between the two people is changing at a rate of [tex]22.21\ \text{mph}[/tex].
At 35 minutes
[tex]a=13\times \dfrac{35}{60}=7.583\ \text{miles}[/tex]
[tex]b=18\times \dfrac{35}{60}=10.5\ \text{miles}[/tex]
[tex]c=\sqrt{7.583^2+10.5^2}\\\Rightarrow c=12.95\ \text{miles}[/tex]
Distance between the two people is
[tex]c^2=a^2+b^2[/tex]
Differentiating with respect to time we get
[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{7.583\times 13+10.5\times 18}{12.95}\\\Rightarrow \dfrac{dc}{dt}=22.2\ \text{mph}[/tex]
Distance between the two people is changing at a rate of [tex]22.2\ \text{mph}[/tex].
A graph of is shown on the grid.
What are the zeros of f?
Answer:
no graph is provided, the zeros of f cannot be found without a graph
Step-by-step explanation:
Identify the transformation from figure A to figure B in the image below.
glide reflection
reflection
translation
dilation
Answer:
Reflection
Step-by-step explanation:
Here, we want to get the transformation that yielded figure B from figure A
Looking at the plot, we can see that we have the origin as the center of transformation
The kind of transformation however is reflection
The shape A was reflected about the origin or the point (0,0) to give shape B
Answer:
glide reflection
Step-by-step explanation:
got it right on a quiz
How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer. How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer.
Answer: See explanation
Step-by-step explanation:
The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.
The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:
= 3000 - 300
= 2700
Two matchsticks have the same length as three bottle tops. How many bottle tops will have the same length as 50 matchsticks?
PLEASE HELPP ASAP!!! (brainly if u help)
A camper on top of a 400 foot cliff is enjoying the view. They look down and see a
bear at an angle 37 degrees. Approximately how far is the bear from the base of the
cliff? (Round your answer to the nearest foot.). REMEMBER THE UNITS
Answer:
301.42 ft from base
Step-by-step explanation:
We can look at this situation as a triangle, the cliff is straight up and we're looking for the lowest side of the triangle. So to figure this out we use tangent, tangent is equal to Opposite over adjacent. So the tangent(37)= bear from base/height of cliff. We then multiply tan(37) by 400 to get the answer
Find the area of the following shapes.
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
write 20.5×10^-5 in standard form. please help
Answer:
the answer is 2.05×10^-4
What is the solution to the equation 2(x + 3)2 = 98?
Answer: if you're solving by x it would be x=43/2
Step-by-step explanation:
Please help me i dont understand this
Answer:
209.3
Step-by-step explanation:
V=πr^2h / 3
= 3.14 x 25 x 8 /3
= 209.3
Can y’all help with geo?
Here's the solution,
figure 1.
by using trigonometry,
=》
[tex] \sin(60) = \dfrac{5 \sqrt{3} }{y} [/tex]
=》
[tex] \dfrac{ \sqrt{3} }{2} = \dfrac{5 \sqrt{3} }{y} [/tex]
=》
[tex] \dfrac{1}{y} = \dfrac{ \sqrt{3} }{2 \times 5 \sqrt{3} } [/tex]
=》
[tex] \dfrac{1}{y} = \dfrac{1}{10} [/tex]
=》
[tex]y = 10[/tex]
And,
=》
[tex] \cos(60) = \dfrac{w}{y} [/tex]
=》
[tex] \dfrac{1}{2} = \dfrac{w}{10} [/tex]
=》
[tex]w = 5[/tex]
So, values are :
y = 10w = 5figure 2.
Since, it's an isosceles triangle, w = y,
So, by pythagoras theorem :
=》
[tex] {w}^{2} + {y}^{2} = (7 \sqrt{2} ) {}^{2} [/tex]
=》
[tex] {w}^{2} + {w}^{2} = 98[/tex]
=》
[tex]2 {w}^{2} = 98[/tex]
=》
[tex] {w}^{2} = 49[/tex]
=》
[tex]w = \sqrt{49} [/tex]
=》
[tex]w = 7[/tex]
and we know, w = y, so their values will be equal to 7 units.
Find x and y
Show all the work
Answer:
x=27°
y=4 units
Step-by-step explanation:
To find x:
The sum of all the angles in a quadrilateral is 360°. In a rhombus (you know it's a rhombus because it's a quatrilateral where all the sides are congruent), opposite angles are congruent. Because you're given that the measure of ∠T is 127°, you also know that m∠V=127°. You also know that m∠U=m∠S=(2x-1)°.
Using this information, set up an equation.
127+127+(2x-1)+(2x-1)=360
You can just divide both sides by 2 to get:
127+(2x-1)=180
Then, just solve for x.
127+2x-1=180
2x+126=180
2x=54
x=27°
To find y:
All the sides are given to be congruent. That's what the little marks on the sides mean, and that's how we knew it was a rhombus earlier.
So SV=VU=UT=TS
SV=6y-5
VU=3y+7
Since SV=VU:
6y-5=3y+7
Solve for y.
3y=12
y=4
Hope I could help!
Find the lateral surface 14ft area of the 2ft cylinder. Round your answer to the nearest tenth if necessary.
Answer:
616 square feet
Step-by-step explanation:
Lateral surface area of a cylinder can be determined by;
Lateral surface area = 2[tex]\pi[/tex]rh
where: r is its radius, and h is its height.
Given in the question that the height of the cylinder is 14 feet and of radius 2 feet, then;
Lateral surface area = 2[tex]\pi[/tex]rh
= 2 x [tex]\frac{22}{7}[/tex] x 2 x 14
= 2 x 22 x 2 x 7
= 616
Lateral surface area = 616 square feet
Thus, the lateral surface area of the cylinder is 616 square feet.
can someone please help me
can someone help my lil sis again.
Answer:
282 + d
Step-by-step explanation:
Number of miles driven by Deandre for week 1 = 282 miles
Number of miles for week 2 = d
Total number of miles driven for two weeks can be expressed as:
(282 + d) miles
Find the area of the smaller sector.
brainlest
Answer:
44.68 m²
Step-by-step explanation:
Area of a sector = θ/360*πr²
Where,
θ = 80°
r = 8 m
Plug in the values into the equation
Area of the sector = 80/360*π*8²
= 44.6804288 ≈ 44.68 m² (nearest hundredth)
I thought I could do this myself but failed, can someone please help me answer this and show work so I can know what to do for future reference. I would like to complete this seeing how this is my last question of the week.
Answer:
area: 1070
perimeter: 434 units
Step-by-step explanation:
area:
- use pythagoream theorem to find the height, which is gonna be 84
- from there, you're gonna wanna find the area of the rectangle and then the two triangles. the way i do it is by just finding the area of the rectangle first, 100x84 = 8400, and then finding the area of the triangles (35x84/2 = 1470 and 20x84/2 = 840)
- you have the area of all shapes, now just add them together (8400+1470+840 = 10710)
perimeter:
just add all the lengths given together.
Write a linear function f with f(2)=-2 and f(1)=1
Answer:
y = -3x + 4
Step-by-step explanation:
x y
0 4
1 1
2 -2
Going down 3 for every increase of x by 1, when x = 0, y = 4
Asking this again because the person who answered the last one gave the incorrect answer. If 7 iced cupcakes cost $21, then how much would 5 iced cupcakes cost?
Answer:
$15 for 5 cupcakes
Let f(-x) = 5x – 2 and g(x) = 2x + 3 and find f(x) –
f(0) — 9(x) = 7x – 1
f(.2) – 9(x) = 7x + 1
f(x) — 9(2) = 3x – 5
f(x) – 9(x) = -3x +5
Answer:
3x - 5
Step-by-step explanation:
Given that f(x) = 5x - 2 and g(x) = 2x+3
f(x) - g(x) = 5x-2 - (2x+3)
Expand
f(x) - g(x) = 5x - 2 - 2x - 3
Collect like terms
f(x) - g(x) = 5x - 2x -2-3
f(x) - g(x) = 3x - 5
Hence the required answer is 3x - 5
help will give brainliest if right
BTW the last answer choice is D. 1
Help please I’ll give brainliest
Mr. Davis is packing a box with books. The box is a rectangular prism with the 2 ft 3 ft 2 ft What is the volume of the box?
Answer:
12 ft^3
Step-by-step explanation:
Given data
Dimension
Lenght= 2ft
Width= 3ft
Height= 2ft
The expression for the volume is
Volume= L*W*H
Substitute
V= 2*3*2
V= 12 ft^3
Hence the volume of the box is 12 ft^3
What is the intermediate step in the form (x+a)^2=b(x+a)
2
=b as a result of completing the square for the following equation?
6x^2+48x+207=15
Answer:
The intermediate step are;
1) Separate the constants from the terms in x² and x
2) Divide the equation by the coefficient of x²
3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression
Step-by-step explanation:
The function given in the question is 6·x² + 48·x + 207 = 15
The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;
6·x² + 48·x + 207 = 15
We get
1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192
6·x² + 48·x = -192
2) Dividing by 6 x² + 8·x = -32
3) Add the constant that completes the square to both sides
x² + 8·x + 16 = -32 +16 = -16
x² + 8·x + 16 = -16
4) Factorize (x + 4)² = -16
5) Compare (x + 4)² = -16 which is in the form (x + a)² = b
Please look at picture
Answer and Step-by-step explanation:
1. Figure A, B, and C are Parallelograms
2. Figure A and C are Rectangles
3. Figure A is a Square
#teamtrees #PAW (Plant And Water)
Answer:
1) a, b, & c
2) a & c
3) a & c
Step-by-step explanation:
The area of the rectangle below is 18 square units. What is the width of the rectangle? Write and solve a division equation to find the width of the rectangle.
Answer:
24/5 or 4 and 4/5
Step-by-step explanation:
3 and 3/4=15/4
18 divided by 15/4=4 and 4/5
4 and 4/5=24/5
24/5 times 15/4=18
Answer:
I agree with the person above but I'm not so sure.
You have 7 donuts to share evenly among you and your three brothers. Which equation describes how many donuts each of you will receive? Choose 1 answer: Choose 1 answer: 7÷4= 7/4 7÷3=7/3 3÷7=3/7 4÷7=4/7
Answer:
7/3
Step-by-step explanation:
Since you have seven donuts to share with three brothers, you can calculate that each one of you will get 2 donuts and there will be a spare one left. You know that you also have to share that one so you split it into thirds. 7/3 = 2 1/3
Hope I helped!
Brainliest? :o
Keywords: donuts, donut, brother, equation, receive