Answer:
7² · (16 - 4 · 2) - 40 = 352
Step-by-step explanation:
Order of operations: PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)
7² · (16 - 4 · 2) - 40
7² · (16 - 8) - 40
7² · (8) - 40
49 · 8 - 40
392 - 40
352
A theatre has the capacity to seat people across two levels, the Circle and
the Stalls.
The ratio of the number of seats in the Circle to the number of seats in
the Stalls is 3:5
Yesterday, the audience occupied of the seats in the Circle and
all the 1520 seats in the Stalls.
Work out the percentage of occupancy of the theatre yesterday.
You must show how you get your answer.
Answer:
C:S--------> 3:5
1520/5=304
3 x 304= 912
912+1520=2432
1520/2432 x 100
Ans = 62.5% seats occupied
Answer:
C:S--------> 3:5
1520/5=304
3 x 304= 912
912+1520=2432
1520/2432 x 100
Ans = 62.5% seats occupied
Determine whether the triangles are similar. or not.
If similar, state how.
A. similar, AA
B. similar, sss
C. Similar, SAS
D. Not similar
Answer:
A
Step-by-step explanation:
We know that ∠[tex]ABE[/tex] ≅ ∠[tex]DBC[/tex] because they are vertical angles, so that's one pair of congruent angles. However, we can't compare ∠[tex]BAE[/tex] and ∠[tex]DCB[/tex] as they have different measures, so we'll have to find the measure of either ∠[tex]AEB[/tex] or ∠[tex]BDC[/tex]. Let's go with the former. Using the fact that the sum of the measures of the interior angles of a triangle is [tex]180[/tex]°, we know that [tex]m[/tex]∠[tex]AEB=180-(53+42)=180-95=85[/tex]°. Now, we know that ∠[tex]AEB[/tex] ≅ ∠[tex]DCB[/tex] because their measures are equal. That's another pair of congruent angles. Therefore, the angles are similar by [tex]AA[/tex]. Hope this helps!
dos números que
tengan una diferencia
de 8.
Answer:
10-2
Step-by-step explanation:
El número 10 y 2 tienen la diferencia de 8.
WILL GIVE BRAINLIEST PLZ HELP
Is the second image right?
(the new line is the blue one)
Answer: based on f(x) + 4 no
Step-by-step explanation:
On number 12 I need hell
Answer:
1,600 dollars
Step-by-step explanation:
The easiest way to solve it is to find the dollar for 1 percent.
Since 480 accounts for 30% of the whole thing, we can do 480 divided by 30 to get 16 as 1 percent. This means that 16 times 100 percent would give us the total money spent, giving us 1,600 as our answer.
How do I do this? It's about systems of equations.
Answer:
D.
Step-by-step explanation:
The last one has the correct variables and amounts in the right order.
12x + 9y = 120
6x + 14y = 136
4q+3+2q−1
Help me, please
Answer:
6q + 2
Step-by-step explanation:
4q + 2 % = 6q
3 - 1 = 2
6q + 2
Tara is graphing the equation 4x + 2y = 10. Which of these shows the correct equation in slope-intercept form, slope, and y-intercept?
Question 2 options:
y = –2x + 5
slope = –2
y-intercept = 5
y = 2x + 4
slope = 2
y-intercept = 4
y = –4x + 5
slope = –4
y-intercept = 5
y = 4x + 5
slope = 4
y-intercept = 5
Answer: y = -2x + 5
Step-by-step explanation:
y = -2x + 5
slope = -2
Slope intercept form of equation of line is given by y = mx + c
where m is the slope of line
c is the y intercept i.e point where given line intersect y axis.
________________________________________________
given equation 4x + 2y = 10
we have to re-write this equation in form y = mx + c
4x + 2y = 10
subtraction 4x from LHS and RHS
4x + 2y - 4x= 10 - 4x
2y = 10- 4x
we have to eliminate 2 from y for that we
divide LHS and RHS by 2 we
2y /2 = 10/2- 4x/2
y = 5 - 2x
rearranging it in y = mx+c form
y = -2x + 5
thus, m = -2 , c = 5
Answer:
y=-2x+5, slope= -2, y-intercept= 5 (so, first option)
Step-by-step explanation:
y=mx+b. m is the slope, and b is the y-intercept. to get the equation to the slope intercept form, you get y by itself- subtract 4x from both sides and then divide by 2 on both sides.
one number is equal to 4 times another number. their difference is 12. find the numbers
Answer:
[tex]x=16 \ \ and \ \ y=4[/tex]
Step-by-step explanation:
Suppose the numbers are x and y
One number say x is equal to 4 times another number say y
[tex]x=4y[/tex] ---------------- (1)
Their difference is 12
[tex]x-y=12[/tex] ------------(2)
Put x=4y in equation (2)
[tex]4y-y=12[/tex]
[tex]3y=12\\y=4[/tex]
Put y=4 in equation (1)
[tex]x=4(4)\\x=16[/tex]
Halona walks 1.93 kilometers to a neighbor’s house in 23 minutes. Assuming she walks at a constant speed, write a proportion that represents how many kilometers,y, Halona can walk in x minutes. Then solve your proportion for y.
Answer:
proportion: 1.93/23 = y/x
solve for y: y = x(0.083913)
Step-by-step explanation:
The required relationship of the proportionality is y = 0.08 x.
Given that,
In 23 minutes, Halona travels 1.93 kilometers to a neighbor's home. assuming she moves at a steady pace.
How many kilometers, y, Halona can walk in x minutes, expressed as a proportion. After that, find y using your percentage.
The relationship between two or more sets of values—whether they are directly proportional or inversely proportional to one another—is referred to as proportionality.
Here,
according to the question,
y ∝ x
y = kx
Where k is the constant of the proportionality,
at x = 23, y = 1.93
1.93 = 23 k
k = 1.93/23
k = 0.08
Put k in the proportionality equation,
y = 0.08k
Thus, the required relationship of the proportionality is y = 0.08 x.
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help me pls...
I will give 20 points and brainly
Answer:
[tex]1 \times { 10}^{ - 9} m[/tex]
Step-by-step explanation:
It can be written in scientific notation as [tex]1 \times { 10}^{ - 9} m[/tex],
Hope this helps u.... ^_^❤️Answer:
a) 1 nm = 0. 000 000 001 m
b) 1 nm = 1×10⁻⁹ m
A group of nine friends go to a baseball game. The group buys 6 hotdogs and 3 hamburgers for a total of $27.75. A hamburger costs $1.75 more than a hot dog. What is the cost of a hamburger?
Answer:
let x be cost of a hotdog
let y be cost of hamburger
so,
5x + 4y = 17.75 eq. 1
4x + 5y = 18.25 eq. 2
manipulate eq. 1 so solve for x:
5x = 17.75 - 4y
x = 17.75/5 - (4/5)y
x = 3.55 - (4/5)y eq. 3
substitute eq. 3 to eq. 2:
4(3.55 - (4/5)y) + 5y = 18.25
14.2 - (16/5)y + 5y = 18.25
14.2 + (9/5)y = 18.25
(9/5)y = 18.25 - 14.2
4.05= (9/5)y
y = 2.25
x = 3.55 - (4/5)(2.25)
x = 1.75
hotdog costs $1.75
hamburger costs $2.25
Step-by-step explanation:
Find the unknown value.
40%=32/⬛️
Answer:
Step-by-step explanation:
80
You purchase a remote-controlled drone for d dollars. Your friend purchases a drone that costs $35 more than your drone. Your brother purchases a drone that costs three times as much as your friend's drone. Write and simplify an expression that represents the cost (in dollars) of your brother's drone.
Answer:
[tex]Brother = 105 + 3d[/tex]
Step-by-step explanation:
Given
[tex]Drone = d[/tex]
Friend = $35 more expensive than yours.
Brother = 3 * as much as your friend
Required
Write an expression for the cost of your brother's drone
I'll solve by analysing the question one sentence after the other
You:
[tex]Drone = d[/tex]
Your friend:
Friend = $35 more expensive than yours.
This means
[tex]Friend = 35 + You[/tex]
Substitute d for You
[tex]Friend = 35 + d[/tex]
Your brother:
Brother = 3 * as much as your friend
This means:
[tex]Brother = 3 * Friend[/tex]
Substitute 35 + d for Friend
[tex]Brother = 3 * (35 + d)[/tex]
Open bracket
[tex]Brother = 3 * 35 + 3*d[/tex]
[tex]Brother = 105 + 3d[/tex]
Find the value of p and q such that
2x^2 - 4x + 3= 2 (x-p)^2 + q
PLEASE ANSWER!!!
Answer:
The values of p and q such that 2·x² - 4·x + 3 = 2·(x - p)² + q, are;
p = 1, q = 1
Step-by-step explanation:
The given equation are;
2·x² - 4·x + 3 = 2·(x - p)² + q
By expanding the right hand side of the equation, we have;
2·x² - 4·x + 3 = 2·(x - p)² + q = 2·x² - 4·p·x + 2·p² + q
2·x² - 4·x + 3 = 2·x² - 4·p·x + 2·p² + q
Comparing the coefficient of x in both equations, gives;
2·x² + (- 4)·x + 3 = 2·x² + (- 4·p)·x + 2·p² + q
-4 = -4·p
∴ p = -4/(-4) = 1
p = 1
Comparing only the constant terms (terms not multiplied by "x" or "x²"), we get;
3 = 2·p² + q
Substituting the value for "p" obtained above (p = 1 ) in the previous equation, we get;
3 = 2 × 1² + q = 2 + q
∴ q = 3 - 2 = 1
q = 1.
Find the volume of the cone. Round your answer to two decimal places.
Answer:
Step-by-step explanation:
Volume of the cone, V=1/3*Π*r^2*h
we have the slant height, and we need to find the h, height
a^+b^2=c^2
where c is 13
169=25+h^2
h^2=144
h=12
V=1/3*3.14*25*12=100*3.14=314.15 ft^3
I NEED HELP FAST!!!!!!!!!!!!
Answer:
y=-3/4x-3
Step-by-step explanation:
y=mx+b
find the y intercept=b
y=mx-3
find the slope
y=-3/4x-3
In a position vs time graph, time is always plotted on what axis
Answer:
x axis
Step-by-step explanation:
time is always independent
find the difference 6/8 -5/8
show your work
Answer:
1/8 or .125
Step-by-step explanation:
Because they fall under the same denominator just subtract the numerator.
6/8 - 5/8 = 1/8
What is the area of the shaded region?
24 sq cm
30 sq cm
20 sq cm
4 sq cm
Answer:
24 sq cm
Step-by-step explanation:
20 sq cm + 4 sq cm = 24 sq cm
Can anyone help me out
Answer:
6 is the correct answer
Step-by-step explanation:
4*2=8
3*2=6
x=6
I put a ladder 1.5m away from a tree. the ladder is inclined at 70 degrees about the horizontal. What is the height of the tree?
Answer:
4.121216129m
Step-by-step explanation:
use sohcahtoa
tan(70) x 1.5m = 4.121216129m
The height of the tree is 4.12 m.
Given,
I put a ladder 1.5m away from a tree.
The ladder is inclined at 70 degrees about the horizontal.
We need to find out what is the height of the tree.
What is the formula for tangent in trigonometry?
It is given by:
Tan Ф = Perpendicular / Base
Draw a figure of the given statement.
/ | A
/ |
(ladder) / | (tree)
/. |
/. |
C /_70°_______ | B
<--------1.5m-------->
Find the AB.
AB = height of the tree.
TanФ = AB / CB
Tan 70° = AB / 1.5m
2.7474 = AB / 1.5m
AB = 2.7474 x 1.5m
AB = 4.12 m
Thus the height of the tree is 4.12 m.
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Will mark Brainliest! How many pounds of apples would you need to make 20 cups of applesauce?
Answer:
You would need 16 pounds of apples!
Step-by-step explanation:
The table goes up by 3 for pounds of apples so you would do 10+3 which equals 13 and then add another three to get 16! Hope this helps.
Please help me with this I will give brainliest to one of the two who has the best answer. Thank you!
Answer:
Step-by-step explanation:
(3a-7)²=(3a-7)(3a-7)
= 9a²-21a-21a+49
= 9a²-42a+49
Therefore the error in that answer is -42a was replaced with -21a.
Answer:
(3a-7)²=(3a-7)(3a-7)
= 9a²-21a-21a+49
= 9a²-42a+49
Step-by-step explanation:
pls help, math work!!!
Answer:
x is greater than or equal to 3. x ≥ 3
Step-by-step explanation:
Answer:
x ≥ 3
Step-by-step explanation:
The arrow goes to the right, the dot is shaded in and x is at 3.
Therefore, x ≥ 3.
list 4 rational numbers between -2 and -1
Answer:
-1.25
-1.30
-1.50
-1.75
Step-by-step explanation:
There's more than 4 correct answers but...
Answer:
1.75, -1.875, -1.9375, -1.46875
Step-by-step explanation:
what is the output of , y=5x-3 when x is 5
Answer:
The output is 22
Step-by-step explanation:
So, you are going to want to plug in 5 for x, therefore-
y = 5(5) - 3
Solve from there
y = 25 - 3
y = 22
Answer:
x = 5 and y = 22
Step-by-step explanation:
y = 5 x − 3
y = ( 5 ) ( 5 ) − 3
y = 22
please dont answer random stuff for points
Answer:
now how did you knew people was doing it
Step-by-step explanation:
it C trust
Answer:
The answer is 28 (option D)
Step-by-step explanation:
Im big Brain
20 points for 2 questions answered, math - plz n thx
Write the equation of the line PERPENDICULAR to x = 9 passing through (-1/9,8)
Answer:
y = 8
Step-by-step explanation:
x = 9 is a vertical line, so any perpendicular to it is horizontal.
Horizontal line passing through (-1/9,8): y = 8