Answer:
x=70
y= 40
Step-by-step explanation:
the triangle containing x is an isosceles triangle so two of the sides are 55.
55+55+x=180.
110+x=180
110-110+x=180-110
x=70
Triangle BAC is equilateral so 180/3=60. Now
x+60+c=180
70+60+c=180
130+c=180
130-130+c=180-130
c=50
That gives us one corner of triangle CBD. We know a second angle is 90 so
50+90+y=180
140+y=180
140-140+y=180-140
y=40
I think that is correct but you are free to check it yourself
Pleaseee help I want to sleep xD (There's a screenshot)
Use the Distributive Property to rewrite the expression in factored form.
5x - 10
16p + 24c + 32w
I used all my points please help
what is the value of k used to find the coordinates of a point that partitions segment into ratio 5:3?
Answer:
(5+3 = 8)
Step-by-step explanation:
The value of k is found by dividing the numerator of the original ratio, 5, by the sum of the numerator and denominator of the ratio (5+3 = 8).
I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
The probability both of my choices are male is 2/15
Use the information to form an appropriate quadratic equation N square + an + b = 0, specifying the constants a and b.
Answer: There are 4 male goats.
Step-by-step explanation:
We know that n of the 10 goats are male.
The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)
The probability is;
p = n/10
Now the total number of goats is 9, and the number of male goats is n -1
then the probability of selecting a male goat again is:
q = (n-1)/9
The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is
P = p*q = (n/10)*((n-1)/9)
And we know that this probability is equal to 2/15
Then we have:
(n/10)*((n-1)/9) = 2/15
(n*(n-1))/90 = 2/15
n*(n-1) = 90*2/15 = 12
n^2 - n = 12
n^2 - n - 12 = 0
This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:
For an equation:
a*x^2 + b*x + c = 0
The two solutions are given by:
[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
For our case, the solutions will be:
[tex]n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}[/tex]
The two solutions are:
n = (1 - 7)/2 = -3 (this solution does not make sense, we can not have a negative number of goats)
The other solution is:
n = (1 + 7)/2 = 4
This solution does make sense, this means that we have 4 male goats.
A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs 4, and each camper costs4,and each camper costs3. There is a maximum budget of $750. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers.
A. \begin{gathered}x + y \leqslant 200 \\ 4x + 3y \leqslant 750\end{gathered}x+y⩽2004x+3y⩽750
B. \begin{gathered}x + y \leqslant 750 \\ 4x + 3y \leqslant 200\end{gathered}x+y⩽7504x+3y⩽200
C. \begin{gathered}x + y \leqslant 200 \\ 3x + 4y \leqslant 750\end{gathered}x+y⩽2003x+4y⩽750
D. \begin{gathered} x + y \leqslant 750 \\ 3x + 4y \leqslant 200\end{gathered}x+y⩽7503x+4y⩽200
Answer:
Option A
The system of inequalities
x + y ≤ 200
4x + 3y ≤ 750
Step-by-step explanation:
Let the
Number of Adults = x
Number of campers = y
A summer camp cookout is planned for the campers and their families.
There is room for 200 people.
x + y ≤ 200
Each adult costs $4, and and each camper costs $3. There is a maximum budget of $750.
Maximum means the total cost is equal to or less than $750
$4 × x + $3 × y ≤ $750
4x + 3y ≤ 750
The system of inequalities
x + y ≤ 200
4x + 3y ≤ 750
Option A is correct
Can someone help me solve all of these problems for brainliest and a heart? please and thank you!
Answer:
Top Right Problem: PACKAGE #2 and $0.80
Bottom left: BAND and $0.05
Bottom Right: PEPSI and $0.05
Please help I’ll mark you as branlst
Answer:
6
Step-by-step explanation:
Since the degree of the angle is 45, we know that the triangle is isosceles. That means that the sides of the triangle, not including the hypotenuse, has a length of 3√2.
Using the Pythagorean theorem, which is a^2 + b^2 = c^2, we have (3√2)^2 + (3√2)^2 = c^2.
Note: c is the hypotenuse of the triangle.
18 + 18 = c^2
= 36 = c^2
Therefore, c = 6.
sum of 2x and 3x in algebraic expression
Determine the solution to the system of equations.
3x - y = 9
2x - y = 6
Answer:
(3, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingTerms/CoefficientsStep-by-step explanation:
Step 1: Define Systems
3x - y = 9
2x - y = 6
Step 2: Rewrite Systems
2x - y = 6
Subtract 2x on both sides: -y = 6 - 2xDivide -1 on both sides: y = 2x - 6Step 3: Redefine Systems
3x - y = 9
y = 2x - 6
Step 4: Solve for x
Substitution
Substitute in y: 3x - (2x - 6) = 9Distribute -1: 3x - 2x + 6 = 9Combine like terms: x + 6 = 9Isolate x: x = 3Step 5: Solve for y
Define equation: 2x - y = 6Substitute in x: 2(3) - y = 6Multiply: 6 - y = 6Isolate y term: -y = 0Isolate y: y = 0Step 6: Check
Graph the systems to verify the solution set (3, 0) is the solution.
The solution set to the systems would be where the 2 lines intersect.
We see that the intersection point is x-intercept (3, 0).
∴ (3, 0) is the solution set to the systems of equations.
isolate and solve for y
Step-by-step explanation:
subtract y from both sides than divide the x values from bothe sides
Seven less than three times a number is 14. Find the number.
what is 9.76 with 8% tax
Five sisters each bought matching scarves and two pairs of socks. The scarves were priced at $12.00. If the total bill for all 5 sisters was $125.00. What was the price for one pair of socks?
Answer:
$6.50/per pair of socks
Step-by-step explanation:
12*5=60
125-60=65
65/10=6.50
amid has gained weight he now weighs 88kg which is 10% higher than his normal weight. what is his normal weight?
Answer:
88*0.9= 79.2 (since it's 10% higher, multiply by .9 to find out what 90% of 88 is
you also could've done 88*0.1=8.8 and then subtract 8.8 from 88 and get 79.2
either way his normal weight is 79.2kg
A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed
Answer:
66 pounds of tomatoes
Step-by-step explanation:
A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed
From the above question:
5 people = 3 pounds of tomatoes
110 people = x pounds of tomatoes
Cross Multiply
5 people × x pounds = 110 people × 3 pounds
x pounds = 110 people × 3 pounds/5 people
x pounds = 66 pounds of tomatoes
Find a point on Y-axis which is equidistant from the points (2,-2) and (-4,2)
answers fast pleasee ......help me out guys
Answer:
( -1, 0)
Step-by-step explanation:
(2 + -4)/2 = -1
(2 + -2)/2 = 0
20. Find the solution to the system of equations by substitution.
x+y=6
3x-y= -22
Please solve step by step
Answer:
need more info sorry
Step-by-step explanation:
A milk truck delivers 457 dozen gallons of milk to stores in 1 day. Write and solve an equation to find g, the number of gallons of milk the milk truck delivers in 1 day I don't get it help!
Answer:
5484 gallons
Step-by-step explanation:
Given that:
Delivery in 1 day = 457 dozen gallons
g = number of gallons delivered on that day
Recall :
1 dozen = 12
Therefore, the number of gallons delivered in 1 day :
457 gallons * 12 = 5484 gallons
Write an equation for the line that is parallel to the given line and passes through the given point.
y = 4 x-6;(-2,-21)
Answer:
ll
Step-by-step explanation:
ll
HELP PLS ill mark u brainliest
Answer:
11
Step-by-step explanation:
Since angle 11 is next to angle 12, and they should add up to 180 degrees, which makes them supplementary angles.
Answer:
The person above me is right
When graphed, which set of data would represent a negative
relationship?
Answer:
it's A because as the temperature rises less people wear gloves
A rectangular dog cage has a length of 4 1/2 feet and a width of 3 3/7 feet. What is the area of the cage?
(Help please)
Step-by-step explanation:
Area of rectangle =height×base
4 1/2×3 3/7=9/2×24/7=216/14=15 6/14=15 3/7
I need help someone pls help me
Answer:
quit
Step-by-step explanation:
what do u think?
Help due today will give brainlist
Answer:
4 fancy and 5 plain
Step-by-step explanation:
Tickets to a school dance cost $5. Ninety tickets have already been sold. How many more tickets x must be sold to earn at least $700? Write your answer as an inequality.
Step-by-step explanation:
5x90=450
700-450=250
250/5=50
50 more tickets.
i don't know if that's in an inequality form or not. but that's how many tickets
Five full creates of walnuts weigh 195 pounds, whereas an empty crate weights 10 pounds. How much do walnuts alone weigh?
Answer:
90
Step-by-step explanation:
Jason is baking a cake. The recipe calls for 2 cups of sugar for every 5 cups of flour. If he is making a small cake and is only using 1 cup sugar, how many cups of flour should he use? *
Answer:
2 1/2 cups
Step-by-step explanation:
First, our ratio is sugar:flour or 2:5, so our question is 1:? We find ? by finding how we got to 1 on the other side.
2 ÷ 2 = 1
And what we do to one side, we always have to do to the other to make it proportional, so
5 ÷ 2 = 2.5 or 2 1/2
So, if Jason is using 1 cup of sugar, he should use 2 1/2 cups of flour
hope this helps
Determine if the data is skewed or symmetric.
Answer:
skewed
Step-by-step explanation:
if f(x) is an even function, which function must also be even?
1) f(x-2)
2) f(x)+3
3) f(x+1)
4) f(x+1)+3
Answer:
Step-by-step explanation:
Option 2 is correct.
if function is even , it is symmetrical about y axis.
if this function shift horizontally it will not remain symmetrical about y axis
if this function shift vertically it will remain symmetrical about y axis
How much time has passed?
Start time: 4:45 a.m. End time: 7:25 a.m.
Answer:
2 hours and 40 mins i think
Step-by-step explanation:
A) SSS
B) SAS
C) Not enough information
D) AAS
Answer:
c
Step-by-step explanation: