Step-by-step explanation:
Since Castel sold 6 apple pies and 4 lemon meringue pies for $80, we have 6x + 4y = $80.
Also Gabriella sold 6 apple pies and 5 lemon meringue pies for $94, we have 6x + 5y = $94.
6x + 5y = $94
- (6x + 4y = $80)
=> y = $14.
Therefore 6x + 5($14) = $94, 6x = $24, x = $4.
Hence each apple pie costs $4 and each lemon meringue pie costs $14.
Need help with this question
Answer:
Correct answer is no. 1
Step-by-step explanation:
Answer:
Choice A, or the first choice, should be the answer
Step-by-step explanation:
By using the process of elimination, you can cross out choices B and C because the speed limit is 30.
The speed limit is 30, thus your speed can be at 30 mi/h.
Choice A is the last and the correct answer.
Write a linear function f with f (5) = -1 and f(0) = -5.
f(x)=____
Answer:
We conclude that the equation of a linear function with f (5) = -1 and f(0) = -5 will be:
f(x) = 4/5x - 5Step-by-step explanation:
Given
f(5) = -1f(0) = -5f(5) = -1 means at x = 5, y = -1
Hence, the point (5, -1) lies on the line function.
f(0) = -5 means at x = 0, y = -5
Hence, the point (0, -5) lies on the line function.
Thus, the two points on the linear line function graph are:
(5, -1)(0, -5)Finding the slope between the points (5, -1) and (0, -5)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]
[tex]m=\frac{-5-\left(-1\right)}{0-5}[/tex]
[tex]m=\frac{4}{5}[/tex]
The slope-intercept form of the linear line function
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
We have already determined the slope which is: m = 4/5
We know the y-intercept can be determined by setting x = 0 and solving for y.
Thus, the point (0, -5) represents the y-intercept b = -5.
Now, substituting m = 4/5 and b = -5 in the slope-intercept form
[tex]y = mx+b[/tex]
y = 4/5x + (-5)
y = 4/5x - 5
Therefore, we conclude that the equation of a linear function with f (5) = -1 and f(0) = -5 will be:
f(x) = 4/5x - 5Mr. Greene is preparing 28 bags of materials for his art class. Each bag needs 40 glass tiles. How many glass tiles are needed?
______ glass tiles
Answer:
Glass tiles needed
[tex] = (28 \times 40) \\ = 1120 \: tiles[/tex]
rectangle
rhombus
square
isosceles trapezoid
Answer:
Rhombus
Step-by-step explanation:
It does not have congruent diagonals
Robert is pouring wax into cylindrical candle containers. Approximately 226.19 cubic inches of wax fill one candle jar. Which image represents that volume?
A cylinder with height 8 inches and radius 3 inches.
A cylinder with height 5 inches and radius 4 inches.
A cylinder with height 10 inches and radius 2 inches.
A cylinder with height 5 inches and radius 5 inches.
Answer:
The first choice.
Step-by-step explanation:
The volume must be about 226.19 in^3.
Volume of a cylinder = area of base * height4
= πr^2h = 226.19
r^2 = 226.19 / πh.
Consider the first of the choices:-
When h = 8 , r^2 = 226.19 /8π = 8.9998
So r = 3.00 to nearest hundredth.
So this is the required image.
Answer: It a
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is X+3y=-15
The sum of 3 times a number and
twice the same number
is less than 45.
a) 3n + 2n < 45
b) 3n + 2 > 45
c) 3(n + 2) < 45
d) 2(n + 3) < 45
Answer:
poop
Step-by-step explanation:
poop
can y'all please help 10 points
Answer:
[tex] \frac{23}{24} [/tex]
Step-by-step explanation:
[tex]2a + b[/tex]
[tex]a = \frac{5}{12} \\ b = \frac{1}{8} [/tex]
Substitute a = 5/12 and b = 1/8 in the expression.
[tex]2( \frac{5}{12} ) + \frac{1}{8} \\ \frac{5}{6} + \frac{1}{8} [/tex]
Our denominator must be 24. (LCM)
[tex] \frac{5 \times 4}{6 \times 4} + \frac{1 \times 3}{8 \times 3} \\ \frac{20}{24} + \frac{3}{24} \\ \frac{23}{24} [/tex]
Please help explain how to do this
Answer:
Any number that isn't 3.
Step-by-step explanation:
Any other number should work, so I'll just show you what happens if you use 3.
2(3x - 2) = 6x + 5
6x - 4 = 6x + 5
-4 ≠ 5
As you are aware, that would make it no solution hence why it can't be used.
PLEASE HELP AND QUICK WILL GIVE THANKS
Answer:
15.012
Step-by-step explanation:
tan(theta) = opposite/adjacent
tan65 = x/7
x = 7tan65
x = 15.012
hope this helped!
A basket holds at most 14 pounds of apples and oranges. There are at least 3
pounds of apples in the basket. This graph shows the system that represents
this scenario, where x is the weight of the apples and y is the weight of the
oranges.
Which point represents a viable solution?
Answer:
D
Step-by-step explanation:
First, there must be at least 3 pounds of apples in the basket. Apples are the first number, so B and D are our options. As it is impossible to have a negative weight of oranges, D is our answer
The point that represents a viable solution is D(4, 3).
What are systems of inequalities?At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.
The graph shows the system of inequalities:
x + y ≤ 14
x ≥ 3
y ≥ 0
where x is the weight of the apples and y is the weight of the oranges.
We need to find the point that represents a viable solution, which means it should satisfy all three inequalities.
Let's check each option:
A(2, 9):
2 + 9 ≤ 14 (satisfied)
2 < 3 (not satisfied)
9 ≥ 0 (satisfied)
A(2, 9) does not satisfy the second inequality, so it is not a viable solution.
B(3, -2):
3 + (-2) ≤ 14 (satisfied)
3 ≥ 3 (satisfied)
-2 ≥ 0 (not satisfied)
B(3, -2) does not satisfy the third inequality, so it is not a viable solution.
C(1, 14):
1 + 14 ≤ 14 (not satisfied)
1 ≥ 3 (not satisfied)
14 ≥ 0 (satisfied)
C(1, 14) does not satisfy the first inequality, so it is not a viable solution.
D(4, 3):
4 + 3 ≤ 14 (satisfied)
4 ≥ 3 (satisfied)
3 ≥ 0 (satisfied)
D(4, 3) satisfies all three inequalities, so it represents a viable solution.
Therefore, the point that represents a viable solution is D(4, 3).
To learn more about the systems of inequalities;
https://brainly.com/question/19526736
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52,300,000 in scientific notation
Answer:
5.23 × 10 ^7
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Help plz ASAP
150% as a fraction or mixed number
Answer:
150%as a fraction is 3/2
Answer:
1.50 or 1 1/2
Step-by-step explanation:
Hope this helps!
the number of members in 20 families in a village is given as 6,8,6,3,2,5,7,8,6,5,5,7,7,8,6,6,7,7,6,5
how many families have more than 5 members
step by step explanation please answer this... don't spam
Answer:
2
6,6,6,6,6,6=more than 5
7,7,7,7,7=has exactly 5 members
A cashier works 40 hours each week, earns $7.50 per hour, and works 50 weeks each year
Answer:
the cashier would have 15000 dollars at the end of the year.
Step-by-step explanation:
is that what you were asking?
Solve for x
35 = 5(x + 9)
X =
Answer:
-2
Step-by-step explanation:
35 = 5x + 45
So - 45 from both side
-10 = 5x
Divide both side by 5
-2 = x
X = -2
The following dot plot shows the pulse rates of runners after finishing a marathon:
Which of the following data sets is represented in the dot plot?
{6, 5, 2, 4}
{140, 165, 170, 180}
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
{140, 141, 142, 145, 145, 149, 150, 151, 152, 160, 165, 170, 170, 172, 178, 179, 180, 180}
Answer:
The correct answer is Option C:
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
Step-by-step explanation:
Dot plots are one of the tools that are used to represent data in statistics and mathematics.
As the dot plot is given, we can make the data set from the plot.
As we can see that there are 6 dots above the value 140 that means 140 occurs 6 times in the data set.
Similarly, 165 occurs 5 times, 170 two times and 180 four times.
So the dataset will be:
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
What is the origin of algebraic expresions plz
Jon thinks of a number between 1 and 10.The cube of the number is equal to the square of double the number.What is number jon is thinking of?
Answer:
4
Step-by-step explanation:
4^2=8 8^2=64
4^3=64
y = 7x-6
what is the slope?
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
-6 is the y intercept
7 is the slope
y=mx+b
help me fast for brainiest!
Plz need help thank u sm
Answer:
x = 5
Step-by-step explanation:
Since the problem shows us that all the angles of the triangle are equal, we can confirm this is an equilateral triangle. Equilateral triangles have the same angles and the same side lengths. Knowing this, we can set up an equation to solve for x.
6x - 5 = 5x (Given)
-5 = -x (Subtract 6x on both sides)
5 = x (Divide -1 on both sides)
Therefore, x = 5.
Answer:
x = 5
Step-by-step explanation:
Since all the three angles of the triangle GJH are marked by identical signs, thus they are congruent.
Therefore, triangle GJH is an equilateral triangle.
Measures of all sides of an equilateral triangle are equal.
So,
6x - 5 = 5x
6x - 5x = 5
x = 5
Can you tell me the definition of the highlighted word please in your own words (Thank you)
Answer:
congruent means similar
Step-by-step explanation:
why didnt you just search it up? lol
congruent means that they are perfectly identical.
There are 20 consecutive even numbers. How much bigger is the sum of the larger 10 ones than the sum of the smaller ones?
Answer:
The answer is 200
Step-by-step explanation:
What is this question?
Answer:
A
Step-by-step explanation:
So timing a fraction with a fraction smaller by 1 means its a proper fraction.
And it can't get bigger than it already is because it's timing a less than 1 itself.
So it's A, it will be smaller
find the estimates of x^2-x-2=3
Answer:
[tex]x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]
Step-by-step explanation:
Given
Quadratic equation is
[tex]x^2-x-2=3\\x^2-x-5=0[/tex]
Roots of the quadratic equation [tex]ax^2+bx+c=0[/tex] are
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]
So, for the given equation roots are
[tex]x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]
Ignacio is going on vacation. He needs to drive 520 miles in 8 hours. What is his average speed in miles per hour?
Answer:
65 miles per hour
Step-by-step explanation:
520 divided by 8
Answer:
His average speed is 65 miles per hour.
Step-by-step explanation:
The answer is 65 because 520 divided by 8 is 65.
P.S Can I have brainliest?
On a coordinate plane, point AS
located at(74) and point Bis
located at 8.41 What is the
distance between the two points?
Answer:
√1370 or about 37.01
Step-by-step explanation:
use distance formula
√(x2-x1)^2+(y2-y1)^2
sqrt(8-7)^2+(41-4)^2
sqrt(1)^2+(37)^2
sqrt 1+1369
sqrt 1370
= about 37. 01
Bailey brought a twin pack of gum for $2, this is 50 cents less than 2/3 the
cost of a triple pack of gum. What is the price of a triple pack of gum?
Let x represent a twin pack of gum
Let y represent a triple pack of gum
Answer:
$3.75
Step-by-step explanation:
2/3 = $2.50
2.50/2 = 1.25
1.25x3 = 3.75
The price of the triple pack of gum is $3.75.
Calculation of the price:Since Bailey brought a twin pack of gum for $2, this is 50 cents less than 2/3 the cost of a triple pack of gum.
So,
[tex]2\div 3 = \$2.50\\\\2.50\div 2 = 1.25\\\\1.25\times 3 = 3.75[/tex]
Learn more about price here: https://brainly.com/question/10132345