Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
Given
$x per adult
$8 per student
Population:
[tex]Students = 1[/tex]
[tex]Adults = 4[/tex]
[tex]Total = \$48[/tex]
Required
Determine the equation and solve for x
The system can be analyzed as thus:
The cost for 4 adults is: 4 * x
The cost for 1 students is: 8 * 1
Total Amount is: 48
From the analysis above, the equation is:
[tex]4 * x + 8 * 1 = 48[/tex]
[tex]4 x + 8 = 48[/tex]
Subtract 8 from both sides
[tex]4 x + 8 -8= 48 - 8[/tex]
[tex]4 x= 40[/tex]
Solve for x
[tex]x = 40/4[/tex]
[tex]x = 10[/tex]
Figure PQRS is a parallelogram.
Parallelogram P Q R S is shown. Angle Q is (x + 15) degrees and angle R is (6 x minus 10) degrees.
What are the measures of angles P and S?
∠P = 20°; ∠S = 160°
∠P = 40°; ∠S = 140°
∠P = 140°; ∠S = 40°
∠P = 160°; ∠S = 20°
∠P = 40°; ∠S = 140° answer
Step-by-step explanation:
The measures of angles of the parallelogram are ∠P = 140°; ∠S = 40°
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as PQRS
Now , the measures of angles of parallelogram are
The measure of m∠Q = ( x + 15 )°
The measure of m∠P = ( 6x - 10 )°
where ∠Q and ∠R are supplementary to each other
For a parallelogram , same-side interior angles (consecutive angles) are supplementary
On simplifying , we get
m∠Q + m∠P = 180°
( x + 15 ) + ( 6x - 10 ) = 180
7x + 5 = 180
Subtracting 5 on both sides , we get
7x = 175
Divide by 7 on both sides , we get
x = 25
And , the measure of ∠Q = 40° = measure of ∠S
The measure of ∠R = 140° = measure of ∠P
Hence , the measures of angles of parallelogram are solved
To learn more about parallelogram click :
https://brainly.com/question/23488153
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I need help with this
Answer:
14
Step-by-step explanation:
add
Imani spent half of her weekly allowance to purchase Cyberpunk 2077 . To earn more money her parents let her wash the dishes for $15. What is her weekly allowance if she ended the week with $75?
Her weekly allowance is $
Answer:
120
Step-by-step explanation:
75-15=60. (Edit) Just realized that she spent her allowance that week, so it would be 120 because you need to multiply.
Answer:
The answer is 120$
Step-by-step explanation:
75-15=60
60x2=120
You multiply it by 2 because she spent half of her allowance on cyberpunk 2077
Solve for z. 2z − 3 = 1
Answer:
z = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
2z - 3 = 1
Step 2: Solve for z
Add 3 on both sides: 2z = 4Divide 2 on both sides: z = 2i need this due at 9 30
Answer:
First, we are given that line segments AB and ED are congruent and that AE and BD bisect each other. This means that AC and CE are congruent, and they are also congruent to BC and CD. Next, angle ACB and angle DCE are congruent because of the vertical angles theorem. This means that triangle ABC and triangle EDC are congruent by the Side-Angle-Side congruency theorem, and also the Side-Side-Side theorem.
Please mark brainliest. Thanks!!!!
Question 1
Select Cone in the list of shapes. Vary the angle between the intersecting plane and the vertical axis, and identify the shapes of the cross sections
formed. Try to form as many different cross-sectional shapes as possible. You might find it helpful to start with a horizontal intersecting plane and gradually increase the angle of the plane until it is vertical. Be sure to observe the effect of moving the plane without rotating it.
Answer:
Circle
Point
Ellipse
Triangle
The first person to answer my questions wins a brainlist IF THERE RIGHT. alright
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
This riddle relies on tricking you into thinking about ears and a mouth. You get a tiny hint about wind to encourage you to think broadly and avoid the literal.
Answer:
An Echo
Step-by-step explanation:
helpppppp!! Please ?
Answer:
I whold say that is 7 or 6. hope this helps please mark me branlenest.
I need help plz on this question
Answer:
-1/3
Step-by-step explanation:
Whats 9+10
Im willing to give 25 Points. And dont say 19 CAUSE IT AINT THE ANSWER. LOL
Answer:
21
Step-by-step explanation:
Alr let’s try this again...
Kiba is the best :3 Kiba is the best :3 Kiba is the best :3 Kiba is the best :3 Kiba is the best :3 Kiba is the best :3 Kiba is the best :3 Kiba is the best :3
If kiba and I went on a date and our total bill was $39.99 plus $3 dollar tip, what is our total bill for that date? ;))
Answer:
$42.99
Step-by-step explanation:
$39.99 + $3= $42.99
Answer:
42.99
Step-by-step explanation:
I also a agree that kiba is the best
2. What is the solution to the equation
1/2x + 3/2(x+1) - 1/4=5?
The answer to this question is
x=15/8
1/2x+3/2(x+1)-1/4=5
1/2x+3/2(x+1)-1/4=5
(1/2x+3/2x)+3/2-(1/4)=5
4/2x+3/2-(1/4)=5
4/2x+(3/2–1/4)-(3/2–1/4)=5-(3/2–1/4)
4/2x+0=5-(3/2–1/4)
2x=5-(6/4–1/4)
2x=5-(5/4)
2x=3 3/4
2x/2=(3 3/4)/2
x=15/4(1/2)
x=15/8
1/2x+3/2(x+1)-1/4=5 (Expand the polynomial)
(1/2x+3/2x)+3/2-(1/4)=5
4/2x+3/2-(1/4)=5
4/2x+(3/2–1/4)-(3/2–1/4)=5-(3/2–1/4)
4/2x+0=5-(3/2–1/4) (Express the fractions on the right side of the equation in the common denominator 4)
2x=5-(6/4–1/4)
2x=5-(5/4)
2x=3 3/4
2x/2=(3 3/4)/2
x=15/4(1/2)
x=
15/8 or 1 7/8 as a mixed fraction or 1.875 as a decimal numeral
PROOF
If x=15/8, then the inverse of the equation 1/2x+3/2(x+1)-1/4=5 returns
2x+(6/4–1/4)=5
2(15/8)+(6/4–1/4)=5
15/4+(5/4)=5
(15+5)/4=5
20/4=5 and
5=5 proves the root (zero) x=15/8 of the statement 1/2x+3/2(x+1)-1/4=5
C.H.
1/2x+3/2(x+1) --1/4=5
1/2 (1/x+3/ (x+1) =5+1/4
1/x + 3/x+1 =(5+1/4) ×2/1
x+ 1 +3x /x (x+1) = 10+1/2 =21/2
4x+1 = 21/2 [x^2+x]
8x+2= 21x^2+21x
21x^2 +-13 x -2 =0
a =21 b= 13 c= -2
X= [13 + -- (169 -- 4×21× -2)^1/2 ] /2×21
=[13 + - ( 169 + 168 )^1/2] /2×21
Discriminat =169+168=337 >0
Find the equation in standard form if the solutions are x={3,-7}
Answer:
x = -4
Step-by-step explanation:
x = 3 - 7
x = - (7 - 3)
x = -4
Match the sequence (term) with the correct type of sequence (definition). (4 points)
1. 15, 20, 25, 30, ...
2. 30, 27, 24, 21, ...
a. Arithmetic, common difference is 5 b. Arithmetic, common difference is -3
true or false ? losing time
Answer:
FalseStep-by-step explanation:
[tex]--------------------------------------------[/tex]
The order in which we complete an operation is NOT optional. This is because if we do addition or subtraction first, ( which is usually at the end of PEMDAS ) the answer ( even if it looks right ) will always be wrong. Always remember, if you don't do the regular PEMDAS, it will always be wrong.
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
6th grade math i mark as brainliest
sorry if you mind but why are you posting all questions here . where are you from
Answer:
Option B) 16 × 9
Option D) 2×2×2×2×3×3
...both are the correct answers.
Mr. Greene is trying to decide which charter bus
company to use for the 8th grade Outer Banks trip.
Holiday Tours charges a down payment of $300 and $3
per mile. Diamond Tours charges a $500 down payment
and $1 per mile. Write and solve an equation to find the
number of miles when the cost of both companies will be
the same.
Answer: 100 miles
Step-by-step explanation:
300+3x=500+1x
subtract 1 from both sides
300+2x=500
subtract 300 from both sides
2x=200
divide 2
x=100
What is the slope of the line represented by the equation 7 − 14 = −21
Answer:
M=2
Step-by-step explanation:
Factorise 10x²+19x+6
Show working out please.
Answer:
(2x+3)(5x+2)
Step-by-step explanation:
10x²+19x+6
multiply to get 60
add to get 19
10x²+19x+6
(10x²+15x)(+4x+6)
factorise:
10x²+15x
5x(2x+3)
4x+6
2(2x+3)
(2x+3)(5x+2)
Evaluate the following expression when x = 1/2 and y = -3.
-4xy
Answer:6
Step-by-step explanation:
-4xy
-4(1/2)(-3)
-4(-1.5)
6
I hate I ready..... Can I plz have some help...?
Answer:
the third box
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Reflect X axis is when the X value doesn't change, but the y value turns negative.
Reflect Y axis is when the Y value doesn't change, but the x value turns negative.
Here the point is (-11,-7)
Reflect X is (-11,7)
Reflect Y is (11,7)
SinA+cosB=1, A=30 degree. Find B
Answer:
Step-by-step explanation:
The value of sin 30 = 1/2
Thus cos B = 1-1/2 = 1/2
can someone help me with these two problems please!!!!!
Answer:
The question at the top is:
Factor
x 2 + 2 x − 63
using the AC method.
( x − 7 ) ( x + 9)
WHICH THE ANSWER IS (B)
The question at the bottom is:
Factor
x 2 + 18 x + 80
using the AC method.
( x + 8 ) ( x + 10 )
WHICH IS ANSWER (C)
Step-by-step explanation:
Hope this helped! :)
Which statement is true for all functions f(x)?
Answer:D
Step-by-step explanation: The graph of -f(x) is the graph of f(x) reflected over the y-axis.
What percent of the students surveyed have a phone plan with texting?
16%
24%
32%
68%
Answer:
"C" 32%
Step-by-step explanation:
hope this helps!
quickkk! -2x-4>-64//what is the value of x
Answer:
x<30
Step-by-step explanation:
u got this
Answer:
x ≤ 30
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
-2*x-4-(-64)>0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
-2x + 60 = -2 • (x - 30)
Equation at the end of step
1
:
STEP
2
:
2.1 Divide both sides by -2
Remember to flip the inequality sign:
Solve Basic Inequality :
2.2 Add 30 to both sides
x < 30
Inequality Plot :
2.3 Inequality plot for
-2.000 X + 60.000 < 0
One solution was found :
x < 30
i hope this helps have a good day!
Please do this because this is very hard for me
Answer:
she is charged 460 dollars because she has to pay 20$ each year she doesnt pay
Step-by-step explanation:
Answer:
she is charged 460 dollars because she has to pay 20$ each year she doesnt pay
Step-by-step explanation:
she is charged 460 dollars because she has to pay 20$ each year she doesnt pay
An African elephant weights 6 tons what is the weight of the elephant in pounds
Answer:
12,000
Step-by-step explanation:
Answer:
12,000 lbs (pounds)
Step-by-step explanation:
1 ton can be expressed as 2,000 pounds.6 tons would be (2,000 x 6), which is 12,000 pounds.PLEASE HELP ME ASAP!!!!!
Answer:
67º <33
Step-by-step explanation:
180-46= 134º
134/2= 67º
Answer:
x = 46
Step-by-step explanation:
The two strokes on the triangle show that those two sides are equal. Thus, the angle at the bottom left is equal to x.
x = 46°
if a 11 inch wheel cost $21.35 what is the cost per square inch
Answer:
$1.94 per square inch