Given:
Box A has a surface area of 98 in².
Box B is 4 times the size of box A.
To find:
The surface area of box B.
Solution:
Let "a" be the side of box A , then "4a" be the side of box B because box B is 4 times the size of box A.
We know that the areas of similar figures are proportional to the square of their corresponding sides.
[tex]\dfrac{\text{Area of box A}}{\text{Area of box B}}=\dfrac{(\text{Side of box A})^2}{(\text{Side of box B})^2}[/tex]
[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{(4a)^2}[/tex]
[tex]\dfrac{98}{A_B}=\dfrac{(a)^2}{16a^2}[/tex]
[tex]\dfrac{98}{A_B}=\dfrac{1}{16}[/tex]
Using cross multiplication, we get
[tex]98\times 16=1\times A_B[/tex]
[tex]1568=A_B[/tex]
Therefore, the surface area of box B is 1568 in².
Which of the following is equivalent to the expression x + 3x + 5x for all values of x?
8x
9x3
9x
8x3
Answer:
9x
Step-by-step explanation:
x + 3x + 5x = 4x + 5x = 9x
Make A the subject of the formula r=√А/3
Answer:a = 9 r^2
Step-by-step explanation:
We need to make a subject of the formula given r = square root a / 3
Given r = √a / 3 -------------1
Now we can find a.
Squaring the given equation 1 we get
So r^2 = (√a / 3)^2
So r^2 = a / 9
Someone plzzz tell me this answer i am really stuck on this
Answer:
A
Step-by-step explanation:
Variables mean multiplying and that stonleigh when that multiplies and adds And it will never be even number because it is at 99 sense meaning $50 is greater than Whatever you multiply $3.99 by
Translate this into an equation
Seven times the sum of a number and 9 equals 8.
Answer:
7(9+n)=8
Step-by-step explanation:
I hope this is right :)))
43 grams of copper and 7grams other metals in a birdhouse, 83 grams of copper and 17 grams of other metals. Which one has more copper?
Answer: cage I
Step-by-step explanation:
Given
43 gm of copper and 7 gram of other metal
Another cage has 83 gram of copper and 17 gm of other metals
Here, the percentage of copper is
For the first case
[tex]\Rightarrow \dfrac{43}{43+7}\times 100=86\%[/tex]
For the second case
[tex]\Rightarrow \dfrac{83}{83+17}\times 100=83\%[/tex]
So, the cage-I has more percentage of copper
Please help me please help me please please someone can please help me this is way too hard please please please please please please please someone please help me
Answer:1 0.05806644 2 64.3818067 m2 3 10.8696557 m2 4 80.2682266 m2 0.13935456 m2 and 15.7935168 m2
Step-by-step explanation:
Could someone please answer this for me
Answer:
the answer is 144
Step-by-step explanation:
we find area so we multiple all numbers
Answer:
28m
Step-by-step explanation:
split the shape in two to find the shapes you know the area of.
rectangles
8×2 = 16
6×2 = 12
A = 28m
Students and adults purchased tickets for a recent school play. All tickets were sold at the ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was collected. 200 tickets were sold.
a. Write a system of equations that can model the number of student and adult tickets sold at the ticket booth for the play.
b. Solve the system you create to find the exact number of student tickets sold and adult tickets sold.
c. Assuming that the number of students and adults attending would not change, how much more money could have been collected at the play if the student price was kept at $8 per ticket and adults were charged $15 per ticket instead of $10?
Answer:
a. (A + S = 200), (8S + 10A = 1760)
b. The school play sold 80 adult tickets, and 120 student tickets.
c. 400$ more would have been collected if the school charged 15$ per ticket instead of 10$
Step-by-step explanation:
a. To begin with, we can refer to S as student tickets, and A as adult tickets. We know that 200 tickets were sold, so we can say that (A + S = 200). We can also say that (8S + 10A = 1760).
b. We can twist the first system of equations and put one variable on the other side. It'll be (A = 200 - S). From there, we will substitute A in the second system of equations. The equation will be
(8S + 10(200 - S) = 1760)
Then you solve for S
(8S + 2000 - 10S = 1760)
-2S = -240
S = 120
Substitute for S in the first system of equations
A = 200 - 120
A = 80
or the second
8(120) + 10A = 1760
960 + 10A = 1760
10A = 800
A = 80
This means that the school play sold 80 adult tickets, and 120 student tickets.
c. (8S + 15A = X)
8(120) + 15(80) = X
X = 2160
2160 - 1760 = 400
400$ more would have been collected if the school charged 15$ per ticket instead of 10$
A math test is worth 100 points and has 30 problems.
Each problem is worth either 3 points or 4 points.
How many 4-point problems are there?
How do i change this into an algebraic expression
Answer:
I think 15
Step-by-step explanation:
15+15=30, so both 3 or 4 point questions have 15 problems each, hope this helped
I need help with this math problem! Please try :) NO LINKS! If you put a link, you are reported
============================================================
Explanation:
mpg = miles per gallon
To calculate the mpg, you divide the number of miles traveled over the amount of gallons used.
In Caroline's case, she traveled 410.7 miles and used up 22.2 gallons. Her car's mpg rating is 410.7/22.2 = 18.5 mpg which means that one gallon of gas will allow her to drive 18.5 miles.
pls no files, thanks
Answer: dont get the question sry
Step-by-step explanation:
Answer:
y =-4
x = 1
Step-by-step explanation:
Add the two equations
4x - y + 6x + y = 8 + 2 add like terms
10x = 10 divide both sides by 10
x = 1 now to calculate y replace x in first equation by 1
4x - y = 8
4 - y = 8 subtract 4 from both sides
-y = 4 and y = -4
An electrician charges $75 for a house visit $50 an hour for service. What is the independent variable and what is the dependent variable
Answer:
See the explanation below
Step-by-step explanation:
The independent variable is the time of the visit
The dependent variable is the total service charge, this depends on the amount of time spent working in the house
One third of number is 8 less than the three times of the number, working pls
Answer:
the required number is 12
Answer:
3Step-by-step explanation:
One third of number is 8 less than the three times of the number
The number is x, then:
1/3x = 3x - 83x - 1/3x = 88/3x = 8x = 3I need help ASAP please
Answer:
option 4= 12/13
Step-by-step explanation:
let us supooae <c is thetha
sin thitha = oppotise side/hyptotenuse
<C= AB/AC
<C=12/13
Sara brought a total of 8 nails at ace hardware. She purchased both 6 penny nails and 10 penny nails. She brought 2 more 6 penny nails then she did 10 penny nails. She had a total of 8 nails. How many 6 penny and 10 penny nails did sara purchase?
Answer:
Sara bought 5 6 penny nails and 3 10 penny nails
Step-by-step explanation:
Help fast please due in 10 mins
Answer: 465
Step-by-step explanation:
Please answer correctly! I will mark you as Brainliest!
Answer:
600
Step-by-step explanation:
V = l * w * h
V = 10 * 3 * 20
V = 600
Answer:
V = 600 cm³
Step-by-step explanation:
The volume (V) of a cuboid is calculated as
V = lbh ( l is length, b is breadth, h is height )
Here l = 10, b = 3 , h = 20 , then
V = 10 × 3 × 20 = 600 cm³
verify the following
i.[ -3/4]3 = -27/64
ii. [-2/3]6 = 64/ 729
Answer:
The relationships are correct and valid
Step-by-step explanation:
The correct question is as follows;
Verify the following
i.[ -3/4]^3 = -27/64
ii. [-2/3]^6 = 64/ 729
We have the solution as follows;
i) we have;
(-3/4)^3
That means ;
-3^3 = -3^3 = -27
4^3 = 64
so;
(-3/4)^3 = -27/64
ii) (-2/3)^6
(-2)^6 = 64
3^6 = 729
Thus;
(-2/3)^6 = 64/729
Apples cost $1.99 per pound. How much do 314 pounds of apples cost? $ How much do x pounds of apples cost? $ Clare spent $5.17 on apples. How many pounds of apples did Clare buy? pounds
Answer:
1. $624.86
2. 1.99x
3. 2.6 pounds
Step-by-step explanation:
1. Multiply 1.99 by 314 to get 624.86
2. With the equation 1.99x, you can substitute any variable into it and it will hold true.
3. Divide 5.17 by 1.99, the price, and you get 2.597 pounds, which rounds to 2.6
The figure is made up of 2 rectangles and 2 right triangles.
What is the area of the figure?
25
O 173 units
O 253 units
277 units
O 325 units
Answer:
area = 277 units²
Step-by-step explanation:
area = (25 x 5) + (8 x 13) + (8 x 6) = 277 units²
la torre de pisa esta inclinada de modo que su pared lateral forma un triangulo rectangulo de catetos 7 metros y 24metros ¿cuanto mide la pared lateral?
Answer:
La torre de pisa esta inclinada de modo que su pared lateral forma un triangulo rectangulo de catetos 5mtrs y60mtrs cuanto mide el otro lado de la torre !
RESOLVEMOS POR EL TEOREMA D EPITÁGORAS
Primero lado = 5 m
Segundo lado = 60 m
Lo que mide el otro lado es = x
Calculamos:
h² = a² + b²
h² = (5 m)² + (60 m)²
h² = 25 m² + 3600 m²
h² = 3625 m²
h = √3625 m²
h = 60,20 m
Rpt. El otro lado mide 60,20 m aproximadamente
Answer:
Hola. lo siento pero no hablo español
Step-by-step explanation:
What are the missing values?
Answer:
4up on 5 was missing ok madam
Please help! 30 points and crown! A diagonal of a cube measures StartRoot 750 EndRoot cm. The diagonal of a face measures StartRoot 500 EndRoot cm.
In centimeters, what is the length of an edge of the cube? Round the answer to the nearest tenth.
? centimeters
Let length, width, and height be s.
Then diagonal of any face would be √( s² + s² ) = √( 2s² )
And we know that it measures √( 500 ) so that's sufficient for us to figure out the length of an edge of the cube. We do not need to worry about the diagonal of the cube.
Now we have to solve √( 500 ) = √( 2s² )
Square both sides:
500 = 2s²
Divide both sides by 2:
250 = s²
Take the square root of both sides:
√(250) = s ≈ 15.8113883
Rounding to nearest tenth:
s ≈ 15.8
Final answer: 15.8
Hope this helps.
Answer:
The person above me is correct
Step-by-step explanation:
6.
Alexandra had lunch at a restaurant. The bill totaled $25.70 including tax. She had a
coupon for 10% off the bill. Alexandra deducted the amount for her coupon and
added a tip of 15% of the original amount of the bill. How much did Alexandra pay,
rounded to the nearest cent, for lunch?
A. $26.60
B. $26.99
C. $27.88
D. $29.17
Two blocks of wood are shaped as a right rectangular prism the smaller block has a length of 9 cm a width of 3 cm and a height of 7 cm the dimensions of the larger block are double the dimensions of the smaller block what is the volume of the larger block of wood
Answer:
1512 cm^3
Step-by-step explanation:
the small ones dimentions are 9 by 3 by 7
if you double that then it is 18 by 6 by 14
to figure out the volume you have to multiply all the numbers together
and you get 1512 cm^3
solve by system of equations by substitution and show work plz and thank you y=2x+3 y=-x-9
Answer:
X=-4, y=-5
Step-by-step explanation:
Y=2X+3
y=-x-9
substitute by inserting y value of 2nd equation (-x-9) into y value of 1st equation:
-x-9=2x+3
-x-9+9=2x+3+9
-x=2x+12
-3x=12
x=-4
solve for y by inserting x value (2) into either equation
y=2x+3
y=2(-4)+3
y=-8+3
y=-5
check answer by inserting x and y into either equation to make sure they equal:
y=2x+3
-5=2(-4)+3
-5=-8+3
-5=-5
or
y=-x-9
-5=-(-4)-9
-5=-5
The function f(x) = x2+ 4 is defined over the interval [-2, 2]. If the interval is divided into n equal parts, what is the height of the right endpoint of the k^th rectangle?
Answer:
Following are the responses to the give question:
Step-by-step explanation:
The [tex]f(x) = x^2 + 4[/tex] model is developed in the interval [tex](-2, 2)[/tex] total equal in a between such a range[tex]= 5[/tex].
Its right endpoint of every rectangle is separated onto n equal parts by the height [tex]= \frac{5}{n}.[/tex]
Height of endpoint [tex]= \frac{5}{n}[/tex] of the k rectangles therefore, the height of the kth rectangle = First rectangle height + K rectangle height
[tex]= -2 +k \times \frac{5}{n}\\\\[/tex]
Half of a number minus seven is equivalent to negative three. What is the number?
Miriarn's parents deposited $1000 in a savings account as a college fund when
she was born. How much money will Miriam have in this account after 18 years at
a yearly simple interest of 3.5%?
Answer:
$1630
Step-by-step explanation:
the interest one year
=$1000×3.5%
=$1000×3.5/100
=$35
the money that Miriam have after 18 years
=$1000+18($35)
=$1000+$630
=$1630
Can someone plz help me
Answer:
A = 65, B = 75
Step-by-step explanation:
x + x + 10 + 40 = 180
2x + 50 = 180
2x= 130
x = 65
Answer:
∠A = 65°
∠B = 75°
Step-by-step explanation:
The sum of all the angles in a triangle is 180°, so we need to add all of the angles and make them equal to 180, then solve for "x".
x + x + 10 + 40 = 180
2x + 50 = 180
2x = 130
x = 65
Now, we replace "x" with 65 to get ∠A and ∠B.
∠A = x = 65°
∠B = x + 10 = 65 + 10 = 75°