The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.
What is Area?Area is the amount of space taken up by a plane shape.
To find an expression for the area of the entire photograph and the frame combined, we use the formula below.
Formula:
A = L×W............. Equation 1Where:
A = Area of the photograph and the frameL = Length of the photograph and the frameW = Width of the photograph and the frameFrom the question,
Let the width of the photograph be x, The length of the photograph = (x+2) inchesL = (x+2)+1 = (x+3) inchesW = (x+1) inchesSubstitute these values into equation 1
A = (x+3)(x+1)A = x²+x+3x+3A = x²+4x+3Hence, The expression representing the area of the entire photograph and frame combined is A = x²+4x+3.
Learn more about Area here: https://brainly.com/question/24487155
is one over one-third a unit rate
Answer: NO it is not a unit rate
Step-by-step explanation:
No, a unit rate is the amount for 1 item or unit. and 1/ 1/3, 1/3 is on the bottom
1/3≠1 so no
Cassandra paid $52.80 in sales tax on a purchase of $844.80. What is the sales tax rate?
Answer:
16
Step-by-step explanation:
844.80 ÷ 52.80
please help : Five baskets contain a total of 120 apples. The first and second baskets have a combined total of 62 apples. The second and third baskets have a combined total of 53 apples, the third and fourth baskets have a combined total of 45 apples, and the fourth and fifth baskets have a combined total of 42 apples. How many apples are in each basket?
The number of apple in each basket is as follows:
First basket = 25 apples
Second basket = 37 apples
Third basket = 16 apples
Fourth basket = 29 apples
Fifth basket = 13 apples
Total apples in the five baskettotal apples = 120
let
the number of apples in the first basket = a
the number of apples in the second basket = b
the number of apples in the third basket = c
the number of apples in the fourth basket = d
the number of apples in the fifth basket = e
Therefore,
a + b = 62
b + c = 53
c + d = 45
d + e = 42
a + b + c + d + e = 120
62 + 45 + e = 120
e = 120 - 62 - 45
e = 13
d = 42 - 13
d = 29
c = 45 - 29
c = 16
b = 53 - 16
b = 37
a = 62 - 37
a = 25
Therefore,
the number of apples in the first basket = 25
the number of apples in the second basket = 37
the number of apples in the third basket = 16
the number of apples in the fourth basket = 29
the number of apples in the fifth basket = 13
learn more on algebra here: https://brainly.com/question/21318615
In a circle graph that represents a survey of 400 people, how many people are represented by a sector labeled 25%?
Answer:
100 people.
Step-by-step explanation:
25% of 400
= 0.25 * 400
= 100.
Lina has 12 coins in her purse. D of them are dimes and the rest are quarters.
How many quarters does Lina have?
How much money does Lina have in quarters?
Answer:
she has 12 - D quarters.
She has 24 (12-D) cents in quarters
Step-by-step explanation:
You know that the number of coins, and you know the number of dimes - even if the amount is a variable - you can find the amount of quarters with an equation.
If you knew that Lina had 6 dimes instead of D, you would say 12 - 6 and get the number of quarters. You can do the same thing here.
and If you know Lina has 6 quarters, you could find the amount of money in cents by multiplying 6 by 25. You can do that here too, but with variables and an equation.
Answer:
she has 12 - D quarters.
Step-by-step explanation:
someone answer please!!!
Answer:
3.4
Step-by-step explanation:
both angles are equal, i.e 16x - 9 = 45.
the value of x is 3.375
Answer:
The value of x is 9.
Step-by-step explanation:
i used the equation (16x-9) + 45 = 180
1. i added -9 +45 i got 36
2. 16x + 36 = 180
3. i subtract 36 from 36 and 180
4. 16x=144
5. i divide 16 from 16x and 144
6. x=9
I hope this helped! :)
What is the name of this polygon?
rectangle
square
trapezoid
rhombus
Answer:
trapezoid
Step-by-step explanation:
since the figure has only 1 pair of parallel sides then it is a trapezoid
Answer:
rhombus
Step-by-step explanation:
Amount of Dog Food Eaten
The graph shows the total amount of dog food
that Sophia's dog Nipper eats. Which statement is
NOT correct?
A The data represents a proportional relationship.
B The point (5,2) means that Nipper eats 5 pounds
of dog food in 2 days.
C The point (0,0) has no meaning in this situation.
D The constant of proportionality is 0.4.
Pounds
1 2 3
6 7 8 9 10 11
Days
A fish market bought two swordfish at a rate of $12 per pound. The cost of the larger fish was three times as great as the cost of the smaller fish. The total cost of the two fish was threes A fish market bought two swordfish at a rate of $12 per pound. The cost of the larger fish was three times as great as the cost of the smaller fish. The total cost of the two fish was $3696. What's the answer
Answer:
The larger fish weigh 231 pounds and the smaller fish weigh 77 pounds
Step-by-step explanation:
Here is the complete and correct question:
A fish market bought two swordfish at a rate of $12 per pound. The cost of the larger fish was three times as great as the cost of the smaller fish. The total cost of the two fish was $3,696. How much did each fish weigh?
Step-by-step explanation:
Let the cost of the larger fish be x, and the cost of the smaller fish be y.
From the question,
The cost of the larger fish was three times as great as the cost of the smaller fish, that is
x = 3y
Also, from the question,
The total cost of the two fish was $3,696, that is
x + y = $3,696
Since x = 3y, we can write that
3y + y = $3696
Now, we can determine y
3y + y = $3696
4y = $3696
y = $3696/4
y = $924
Hence, the cost of the smaller fish is $924
From x = 3y; we can determine x
y = $924
∴ x = 3y becomes
x = 3 × $924
x = $2772
Hence, the cost of the larger fish is $2772
Now, to determine how much each fish weigh,
From the question, A fish market bought two swordfish at a rate of $12 per pound
To determine the weight of each fish, we will divide the cost by the rate ($12 per pound)
For the larger fish
Cost = $2772
∴ Weight = $2772 ÷ $12 per pound = 231 pounds
Hence, the larger fish weigh 231 pounds.
For the smaller fish
Cost = $924
∴ Weight = $924÷ $12 per pound = 77 pounds
Hence, the smaller fish weigh 77 pounds.
i need this pls asap
Answer:
144cm^2
Step-by-step explanation:
This is a cube which means it has 6 sides
The dimensions of one side is 5cm by 5cm
So the area of one side is 5*5=25cm
25cm * 6 sides = a total surface area of 144cm^2
Hope this helps! :)
In the given figure, prove that ΔΜΝΟ - ΔΟΡΟ.
Answer:
MNO ~ OPQ by AAA (Angle angle angle)
Step-by-step explanation:
1. angle POQ is equal to angle NOM because they are both vertical angles
2. angle OPQ and angle OMN are equal because parallel lines cut by a transversal form congruent alternate interior angles.
3. angle PQO and angle ONM are equal becase of the same reason as reason 2 (parallel lines cut by a transversal form congruent alternate interior angles. )
4. triangles MNO ~ OPQ through AAA (angle angle angle)
i am a but confused on this question i think the answer is 51 but i’m not sure?? can someone tell me if i’m correct or not. If not please explain! Luv y’all i will mark you brainliest
Answer:
The value of the expression for x=3 is 51
Step-by-step explanation:
Evaluating expressions
To evaluate a given expression, we simply substitute the value of the variables and complete the operations.
The expression to evaluate is:
P=3(2+5x)
We will evaluate for x=3:
P=3(2+5*3)
The product must be done first:
P=3(2+15)=3*17=51
The value of the expression for x=3 is 51
Pls answer the question attached.
I WILL MARK U BRAINLIST
Answer:
discount = 25%
Step-by-step explanation:
discount is calculated as [tex]\frac{reduction}{original}[/tex] × 100%
reduction = 2800 - 2100 = 700
discount = [tex]\frac{700}{2800}[/tex] × 100% = 0.25 × 100% = 25%
What is 7/9 * 1/3
Hurry I am on a timer
Answer:
7/27Step-by-step explanation:
Hope this helps! <3
please help, will mark as Brainliest
The Weeks' family goes out to eat and the total bill was $72.48. If they want to leave an 18% tip, how much extra money should they leave the waitress?
Answer:
Step-by-step explanation:
13.05
Answer:
13.05
Step-by-step explanation:
7-^3
Simplify this expression. Use 7 as the base.
Is 831 divisible by 3?? Yes or no
yes 831 is divisible by 3
One way I know this is because when adding all the digits in the number you get 12 which is divisible by 3
Also if you do divide 831 ÷ 3 it would equal 277
Answer:
yes or true
Step-by-step explanation:
It costs $2.00 for eight juice boxes. What is the unit price per box?
Answer:
$0.25 for 1 juice box
Step-by-step explanation:
Divide $2.00 by 8
The answer is 0.25
Hope I helped :)
Please consider Brainliest :)
The unit price of each box will be $0.25 per box.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
It costs $2.00 for eight juice boxes.
The unit rate is given by the division of the numbers 2 and 8. Then the units rate is given as,
Rate = $2 / 8
Rate = $0.25 per box
The unit price of each box will be $0.25 per box.
More about the rate link is given below.
https://brainly.com/question/14731228
#SPJ2
40% of 1,380.00
Help md pls
At top cruising speed, a shark can swim 6 miles in 1/12 hours. A whale can swim 8 miles in 1/6 hours. which animal can swim faster at top cruising speed? How much faster?
Answer: 225 tiles
Step-by-step explanation:
Side of tile = 20 cm = 0.2 m
Side of bathroom = 3 m
Area of tile = 0.04 m²
Area of bathroom = 9 m²
No. of tiles = Ar (bathroom) / Ar (tile)
= 9 / 0.04
= 9 x 25
= 225 tiles
Please solve this question.
Answer: see proof below
Step-by-step explanation:
Use the Cofunction Identity: sin (90 - A) = cos (A)
Use the Double Angle Identity: sin(2A) = 2 sinA cosA
Use the Triple Angle Identity: cos (3A) = 4cos³A - 3cosA
Use the Zero Product Property: If a · b = 0, then a = 0 or b = 0
Use Pythagorean Identity: cos²A + sin²A = 1 → cos²A = 1 - sin²A
Use Quadratic Formula: [tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Proof LHS → RHS:
Assumption: Let A = 18°
Multiplication: then 5A = 5(18°)
→ 5A = 90°
Expand: 2A + 3A = 90°
→ 2A = 90° - 3A
Apply sin: sin (2A) = sin (90° - 3A)
Cofunction: sin (2A) = cos (3A)
Double Angle: 2 sinA cos A = cos (3A)
Triple Angle: 2 sin A cos A = 4cos³A - 3cos A
→ -4cos³A + 3cos A + 2sinA cos A = 0
Factor: cos A(-4cos² A + 3 + 2sin A) = 0
Zero Product Property: cos A = 0 or -4cos² A + 3 + 2sin A = 0
↓
Disregard (since cos A ≠ 0)
Pythagorean: -4cos² A + 3 + 2sin A = 0
→ -4(1 - sin² A) + 3 + 2sin A = 0
→ -4 + 4sin² A + 3 + 2sin A = 0
Simplify: 4sin² A + 2sin A - 1 = 0
a=4 b=2 c= -1
[tex]\text{Quadratic Formula:}\qquad \sin A=\dfrac{-(2)\pm \sqrt{2^2-4(4)(-1)}}{2(4)}[/tex]
[tex]=\dfrac{-2\pm \sqrt{4+16}}{8}[/tex]
[tex]=\dfrac{-2\pm \sqrt{20}}{8}[/tex]
[tex]=\dfrac{-2\pm 2\sqrt{5}}{2(4)}[/tex]
[tex]=\dfrac{-1\pm \sqrt{5}}{4}[/tex]
[tex]=\dfrac{ \sqrt{5}-1}{4}[/tex]
[tex]\text{Substitute A = 18:}\qquad \sin 18=\dfrac{ \sqrt{5}-1}{4}[/tex]
Find the area of the figure. (Sides meet at right angles.)
4 in
4 in
5 in
5 in
8 in
B in
3 in
11 in
Answer:
I will help you figure it out. Multiply all the numbers together: And you'll get; 21,120 in.
Hope this helps! Rate Brainiest!
-Aslina
What is the square root of 250,000
Answer:500
Step-by-step explanation:
√250000=500
Answer:
[tex] \sqrt{250000} \\ \sqrt{500} \times \sqrt{500 } \\ { \sqrt{500 } }^{2} \\ 500[/tex]
500 is your answerHope it helps you ☺️☺️Thank you ☺️☺️
Tools are us rents leaf blowers for a base price of $24 +9 dollars per hour XYZ rentals rent leaf blowers for a base price of $18 plus $11 per hour how many hours were both companies charge the same amount and what is that amount solve by substitution
Price per hour of first case :
[tex]P_1 = 24 + 9a[/tex] ( Here, a is number of hours )
Price per hour of second case :
[tex]P_2 = 18 + 11b[/tex] ( Here, b is number of hours )
Let, after x hours both company charges the same.
[tex]P_1=P_2\\\\24+9x = 18 + 11x\\\\2x=6\\\\x = 3\ hours[/tex]
Hence, this is the required solution.
If angle AOC = 77º and angle AOB = 49°, then angle BOC =
which one is not equivalent to 9/12: 15/20, 24/32, 16/24, 6/8
Answer: 16/24
Step-by-step explanation:
Help me please ssjdjjdjdjdjddjjfjf
Answer:
The answer should be 273
Which statement must be true? arc r t ≅ arc u t ∠rqt ≅ ∠rst rq ⊥ qt rs ≅ st
The sides RS and ST are equal because they are the side of the congruent triangle that is RS ≅ ST. Then the correct option is D.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
In circle Q, ∠RQS ≅ ∠SQT.
In ΔRQS and ΔTQS
∠RQS ≅ ∠SQT (Given)
QS = QS (Common side)
RQ = QT (Radius of the circle)
The ΔRQS and ΔTQS triangles are congruent to each other. That is given as ΔRQS ≅ ΔTQS.
The sides RS and ST are equal because they are the side of the congruent triangle that is RS ≅ ST. Then the correct option is D.
More about the circle link is given below.
https://brainly.com/question/11833983
Answer:
D. rs≅st
Step-by-step explanation:
i did it
how do I solve this please give a step by step or I am taking the comment down please also this will go for 13 points.
Answer:
75
Step-by-step explanation:
angles on a straight line always add up to 180 degrees so 180-105 =75