Answer:
There were 35 children and 38 adults at the pool that day.
Step-by-step explanation:
You can use substitution to solve this answer. When solving equations with substitution, ask yourself "how many?" and "how much?" to create two equations:
1.25c+2.25a=126.25 (this equation tells us the dollar value)
c+a=73. (this equation tells us quantity, or how many)
1. Solve for 1 variable and plug it into the other equation.
a=73-c -----> 1.25c+2.25(73-c)=126.25
2. Simplify the equation above.
1.25c+164.25-2.25c=126.25
3. Simplify even more:
-1c+164.25=126.25
4. Subtract 164.25 from both sides to get:
-1c=-38
5. Divide both sides by -1.
c=38 (this means that there are 38 children)
6. Plug the new value for c back into the equation c+a=73.
38+a=73
7. Subtract 38 from both sides to solve for a:
a=35 (this means that there are 35 adults)
I hope this helps!
Find the values of x and y that make these triangles congruent by the HL theorem
Answer:
A. x = 3, y = 2
Step-by-step explanation:
The hypotenuse and the length of one leg of one right triangle must be equal to the hypotenuse and corresponding length of the one leg of the other ∆ for both triangles to be equal by the HL Congruence Theorem.
Thus, let's find x and y by setting the corresponding lengths of the two right ∆s equal to each other.
Therefore:
x = y + 1 ----› eqn. 1
2x + 3 = 3y + 3 ----› eqn. 2
Substitute x = (y + 1) into eqn. 2, and solve for y.
2x + 3 = 3y + 3 ----› eqn. 2
2(y + 1) + 3 = 3y + 3
2y + 2 + 3 = 3y + 3
2y + 5 = 3y + 3
Collect like terms
2y - 3y = -5 + 3
-y = -2
Divide both sides by -1
y = 2
Substitute y = 2 into eqn. 1.
x = y + 1 ----› eqn. 1
x = 2 + 1
x = 3
The degree of - 7xy4 is?
Answer:
The degree of the polynomial is 5
Step-by-step explanation:
When we talk of the degree of a polynomial, we refer to the highest power
The highest power here is 4 but that is not the degree in this case
If we notice, there are two different variables attached to the number
One has a degree of 4 and the other has a degree of 1
What we do here is to add these degrees together
The addition of both is 5 and that is the degree of the polynomial
You must show your staterment and reason T-chart to get full credit
Given: KS bisects Pą at T, Fą bisects RS at T.
Prove A PTS = AQTR
Step-by-step explanation:
RS bisects PQ at T. PQ bisects RS at T.
prove: Triangle PTS congruent Triangle QTR
Statements..............................Reasons(1) RS bisects PQ at T.................(1) Given
(2) PQ bisects RS at T.................(2) Given
(3) angle PST ≅ angle QRT........(3) supplements of congruent angles
(4) TS ≅ TR......................(4) Converse of Base Angles Theorem
(5) angle PTS ≅ angle QTR.........(5) Subtraction Property of Equality
(6) Triangle PTS ≅ Triangle QTR...(6) Angle side angle
Hope it's help you..... ^_^❤️
Fabulous fitness charges a one time fee of $90 and an additional $25 per month wonder weights charges a one time fee of only $ 27 dollars but charges an additional $32 each month for how many months is fabulous fitness less expensive than wonder weights? Set up and solve an equality to determine your answer
Answer:
9 months
Step-by-step explanation:
Given
Fabulous fitness charges a one-time fee of $90 and an additional $25 per month
let the number of months be x
and the total charges be y
y= 25x+90---------1
Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month
let the number of months be x
and the total charges be y
y= 32x+27------------2
Required
The value of x, that is the number of months
Step two:
Equating both equations we have
25x+90=32x+27
collect like terms
25x-32x=27-90
-7x=-63
7x=63
divide both sides by 7
x= 63/7
x= 9 months
PLEASEEE HELP ME FO THISSS
As C is the mid-point of BD.
Therefore, BC=DC ...(i)
As AB ⊥ BD and ED ⊥ BD
So, ∠ABC= 90° and ∠EDC= 90°
Therefore, ∠ABC=∠EDC= 90° ...(ii)
As two line segments, AE and BD intersect at point C, so the vertically opposite angles are equal.
Therefore, ∠BCA=∠DCE ...(iii)
Now, in ΔABC and ΔEDC,
Angle, ∠BCA=∠DCE [ from equation (iii)]
Side, BC=DC [ from equation (i)]
Angle, ∠ABC=∠EDC [ from equation (ii)]
So, by ASA property of congruency, ΔABC and ΔEDC are congruent
Hence, ΔABC ≅ ΔEDC.
In 2001, Takeru Kobayashi set a world record by eating 50 hot dogs in 12 minutes. Find Kobayahi's rate of consumption in hot dogs per minute.
Plz help asap easy(not for me) 6th grade question
Answer:
AEI hope this helps!
Kate and Nora each have a sum of money. The ratio of the amount of money Kate has to that of Nora is 3 : 5. After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9. Find the sum of money Kate had initially.
Given:
The ratio of the amount of money Kate has to that of Nora is 3 : 5.
After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9.
To find:
The sum of money Kate had initially.
Solution:
Let the initial amount of money Kate and Nora have are 3x and 5x respectively.
After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9.
The amount of Kate = 3x+150
The amount of Nora = 5x-150
Now,
[tex]\dfrac{3x+150}{5x-150}=\dfrac{7}{9}[/tex]
[tex]9(3x+150)=7(5x-150)[/tex]
[tex]27x+1350=35x-1050[/tex]
[tex]1350+1050=35x-27x[/tex]
[tex]2400=8x[/tex]
Divide both sides by 8.
[tex]300=x[/tex]
Putting x=300 in 3x, to get the amount of money Kate has initially.
[tex]3(300)=900[/tex]
Therefore, the Kate initially had $900.
Question 1
The model shows 156 jelly beans divided equally among three
friends. How many jelly beans does each person get?
Answer:
52
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
Derive the equation, in the
form y = mx, for the line. (Look at the photo!)
need help what the awnser is.
b - 6 = 21
CAN SOMEONE HELP ME ASAP!!!<3
Answer:
Step-by-step explanation:
11.
f(-8) = (-3/2)(-8) +11 = (24/2) +11 = 12+11 = 23
12.
g(-2) substitute x by -2 in the g( x) equation
9(-2) = (-2)²-7(-2) = 4 +14 = 18
13.
h(2/3) = | 15 -9(2/3)| = | 15 -(18/3)| = | 15 -6 | = |9| = 9
12.
the zero is at x= -2 because is the intersection of the graph with the x-axis
13.
the zero are at x=1, x= -2, x= -4 because is the intersection of the graph with the x-axis
write in standard form if needed classify the polynomial 14y^2-x^2-3xy
Therefore, we can classify the polynomial as a quadratic polynomial.
What is polynomial?A polynomial is a mathematical expression that consists of variables and coefficients, and involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and may contain multiple terms. Each term consists of a coefficient and a variable raised to a power. The degree of a term is the power to which the variable is raised, and the degree of a polynomial is the highest degree of any of its terms. Polynomials are used in many areas of mathematics, science, and engineering, such as algebra, calculus, geometry, and physics. They are used to model real-world phenomena, to solve equations, and to approximate complex functions.
Here,
To write the polynomial 14y² - x² - 3xy in standard form, we need to arrange the terms in descending order of degree (highest degree term first) and combine like terms.
First, let's rearrange the terms:
x² - 3xy + 14y²
Now, the polynomial is in descending order of degree. We don't need to do anything else to put it in standard form.
To classify the polynomial, we count the number of terms and the highest degree of those terms. In this case, there are three terms and the highest degree term is 14y², which has degree 2.
To know more about polynomial,
https://brainly.com/question/11536910
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Instructions to care for a plant say to water it with 3/4 cup of water every day. The plant has been getting 25% too much water. How much water has the plant been getting? PLZZZZZZZ HELP ME!!
Answer: 0.9375 or 15/16 cup of water
Step-by-step explanation:
The plant has been getting 25% too much water which means that it has been getting 25% more than 3/4.
= 25% * 3/4
= 0.1875 cup of water
Water plant has been getting;
= 3/4 + 0.1875
= 0.9375 or 15/16 cup of water
1) What was an advantage the British forces had during the war?
2) What was a disadvantage for the British?
3) What was an advantage for the American forces?
4) What was one disadvantage for the Americans? HELP QUICK
Answer:
1. They had a fully formed government and powerful empire
2. They were fighting in an area that was 3,000 miles away from their home country
3. They knew the layout of the land
4. Their currency was far worse than that of the British, and they didn't have access to gold which was a universal currency
Movie tickets are $4.00 for children and $8.00 for adults. The total amount of ticket sales in one night was $1,176. There was 172 tickets sold.
Define the variables used in this example.
Your answer:
m= money
t=tickets
c=children
a= adults
t= tickets
c=children
Answer:
122 tickets were sold for adults and the rest is for children.
Step-by-step explanation:
Rewrite using a single exponent. 4^3 X 4^6
A cyclist tide his a bike at a speed of 27 miles per hour. What is this speed in miles per minute? How many miles will the cyclist travel in 15 minutes? Do not round your answers
Answer:
0.45 miles per minute and 6.75
Step-by-step explanation:
27/60=0.45<-- Miles per minute
0.45x15=6.75<--Miles in 15 minutes
Hope this helps pls give brainliest
24 * 5 is equal to 12 * ?
10
Step-by-step explanation:
24*5=12*10
120=120
If the area of a semicircle is 77cm² then find its perimeter.
[tex] \underline{\underline{\sf{ \color{purple}{Given :} }}} [/tex]
Area of the semicircle = 77 cm²
⠀ ⠀⠀ ⠀ ⠀⠀ ⠀
[tex] \underline{\underline{\sf{ \color{purple}{To\:Find :} }}} [/tex]
Perimeter of the circle⠀ ⠀⠀ ⠀ ⠀⠀ ⠀
[tex]\underline{\underline{\sf{ \color{purple}{Solution :} }}}[/tex]
[tex]\underline{\tt{As\:we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = 2 \times Area \: of \: semicircle}}}[/tex]
[tex] : \: \implies \sf{Area \: of \: circle = 2 \times 77cm^{2} }[/tex]
[tex]: \: \implies \sf{Area \: of \: circle =154 \: {cm}^{2} }[/tex]
━━━━━━━━━━━━━━━━━━━━━
[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = \pi r^{2}}}}[/tex]
[tex] : \: \implies \sf{ 154 = \dfrac{22}{7} \times {r}^{2} }[/tex]
[tex] : \: \implies \sf{ 7 \times 7 = {r}^{2} }[/tex]
[tex] : \: \implies \sf{ 49 = {r}^{2} }[/tex]
[tex] : \: \implies \sf{ {r}^{2} = 49 }[/tex]
[tex] : \: \implies \sf{ {r} = \sqrt{ 49} }[/tex]
[tex] : \: \implies \sf{ {r} = { 7 cm} } [/tex]
━━━━━━━━━━━━━━━━━━━━━
[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]
[tex]\star\:{\boxed{\sf{\purple{Perimeter} = \pi r + 2r }}}[/tex]
[tex] : \: \implies \sf{ Perimeter = \dfrac{22}{7} \times 7 + 2 \times 7 }[/tex]
[tex] : \: \implies \sf{ Perimeter = 22 + 14 }[/tex]
[tex] : \: \implies \sf{ Perimeter = 36 }[/tex]
[tex]\sf \therefore \: perimeter \: of \: the \: circle \: is \: 36cm[/tex]
━━━━━━━━━━━━━━━━━━━━━
Solve the inequality below 3-1/2x ≤ 11
Graph a line that contains the point (6,-5) and has a slope of -2/3
Answer:
The line to graph is y=-[tex]\frac{2}{3}[/tex] -1
Step-by-step explanation:
In order to graph the line, it needs to be in slope-intercept form. We can make an equation in slope intercept form by using the point-slope form, which is y-y₁=m(x-x₁).
1. Plug info into point-slope form:
y-(-5)=-[tex]\frac{2}{3}[/tex](x-6)
2. Simplify:
y+5=-[tex]\frac{2}{3}[/tex] x+4
3. Simplify even further:
y=-[tex]\frac{2}{3}[/tex] -1
To graph the line, make a point a (0,-1). From here, go down 2 points and to the right 3 points. Continue the pattern and connect the points with a line.
During an online sale, you buy three sweatshirts and two pairs of sweatpants for $85.50. Later you buy three more sweatshirts and four more pairs of sweatpants for $123. (You can never have too many sweats during a pandemic). What is the sale price of each sweatshirt and each pair of sweatpants?
Answer:
Step-by-step explanation:
let
x = price of a sweatshirt
y = trice of sweatpants
three sweatshirts and two pairs of sweatpants for $85.50
3x + 2y = 85.50
three more sweatshirts and four more pairs of sweatpants for $123
3x + 4y = 123
by solving the system of equations
3x + 2y = 85.50
3x + 4y = 123
we find
x = $16
y = $18.75
please help me write in exponential notation ASAP
Answer:
The answer is 3⁴ or 81 :)
What are the characteristics of the vector shown?
magnitude of 8 and direction angle equal to 0°
magnitude of 8 and direction angle equal to 180°
magnitude of 2 StartRoot 2 EndRoot and direction angle equal to 0°
magnitude of 2 StartRoot 2 EndRoot and direction angle equal to 180°
Answer:
The correct option is;
Magnitude of 8 and direction angle equal to 0°
Step-by-step explanation:
The magnitude of a vector is given by the distance from the initial point of the vector, (which id the starting point) to the final point of the vector, which is the end point of the vector
From the graph, the starting point of the vector = (-2, 2·√2)
The end point of the vector from the graph = (6, 2·√2)
The magnitude of the vector = √(6 - (-2))² = 6 - (-2) = 6 + 2 = 8
The direction of the vector = arctan((The y-component of the vector)/(The y-component of the vector))
∴ The direction of the given horizontal vector = arctan(0/8) = arctan(0) = 0°
Answer:
A - Magnitude of 8 and direction angle equal to 0°.
Step-by-step explanation:
Edge. 2023
This table represents a quadratic function. and The graph of a quadratic function is represented by the table. please help :)
Answer :
D
Step-by-step explanation:
Because when you put it in the calculator it will show if the solution is right. For example,
f(x) = a(x-h)^2 +k
Vertex is (2,-4)
Plug in the vertex and Pick a coordinate to test
I pick (0,-3)
f(x) = a(0-2)^2 -4= -3
Plug in each a to shows that the equation is true . In this case, 0.25 worked!
Test
0.25(0-2)^2-4= -3
-3 = -3
Hope this helped!
Pls make me the Brainliest if the answer is right it would meant a lot. Thanks
Answer:
D. 1/4 and [tex]f(x)=-2(x-8)^{2}+6[/tex]
Step-by-step explanation:
I did the test.
somebody please help me !!
Answer:
16
Step-by-step explanation:
i think this is right
Solve the problem
( Show your work )
2x + 10 =- 4x – 9
Answer:
x = -19/6
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 Equation
2x + 10 = -4x - 9
Step 2: Solve for x
Add 4x on both sides: 6x + 10 = -9Subtract 10 on both sides: 6x = -19Divide 6 on both sides: x = -19/6Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 2(-19/6) + 10 = -4(-19/6) - 9Multiply: -19/3 + 10 = 38/3 - 9Add/Subtract: 11/3 = 11/3Here we see that 11/3 does indeed equal 11/3.
∴ x = -19/6 is the solution to the equation.
Solve the equation: 5 + 2(3 + 2x) = x + 3(x + 1)
Answer:
No solutions
Step-by-step explanation:
In this question, you would be solving for x.
Solve:
5 + 2(3 + 2x) = x + 3(x + 1)
Use the distributive property.
5 + 6 + 4x = x + 3x + 3
Combine like terms.
11 + 4x = 4x + 3
Subtract 4x from both sides.
11 = 3
Since we don't have an "x value", there are no solutions.
"No solutions" would be your answer.
Select all that apply.
Which of the following ratios are equivalent?
3 to 4
6/7
15/20
3/4
Answer:15/20 3/4
Step-by-step explanation:
Because 3 times 5 =15 and 4 times 5= 20 so that will be 15/20
Then if you multiply 3 and 4 by 1 it will give you 3/4
Answer:
15/20 3/4
Step-by-step explanation: