José and Nancy would charge the same amount for taking care of 10 animals. This is found by solving the system of equations which represents their respective charges.
Explanation:The subject of this problem is determining for how many animals José and Nancy would charge the same amount. This is a classic algebra problem that can be solved by setting up a system of equations.
Let's designate 'x' as the number of animals. José's charges can be represented by the equation y = 15 + 2x, because he charges a flat fee of $15 and then an additional $2 per animal. Nancy's charges can be represented by the equation y = 5 + 3x, because her initial fee is $5, and she charges an additional $3 per animal.
To find out when they both charge the same amount, set these two equations equal to each other and solve for x:
15 + 2x = 5 + 3x
This simplifies to 10 = x, meaning they would both charge the same amount for 10 animals.
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about what percent of the total area of hals backyard is the area taken up by the patio, walkway, and garden
This is the picture. Can you tell me the answer?
Which one expression could represent the approximate population of the small town
The top of a hill rises 77 ft above checkpoint 1. What is the altitude of the top of the hill? Checkpoint 1 is -173 ft above sea level.
Which should be used to measure the length of a bookcase?
A.
thermometer
B.
tape measure
C.
clock
D.
scale
what is the slope of PQ is p is (-8,2) and Q is (4,2)
write a word phrase for the algebraic expression 2+-9
A. nine fewer than two times a number t
B. nine more than two times a number t
C. nine fewer than a number t
D. nine more than a number t
A triangle has an area of 36 square feet. if the height of the triangle is 6 feet more than its base, what are the height and base.
Tristan’s fish is 1/2 yard long, 1/6 yard wide, 1/3 yard high. What should the side lengths of each cubic block used to find the volume be?
Answer:
The answer is 1/6 yard
Step-by-step explanation:
The length, width, and height of a cube are equal. Each cubic block must have the same length, width, and height:
Length of tank= 1/6 yard = 1/6 yard = 3 x 1/6 yard
Height of tank: 2/6 yard = 2 x 1/6 yard
width of tank= 1/6 yard
Because the length and height of the tank are multiples of the width, the length of each cubic block should be equal to the width of the tank:
= 1.6 yard
NEED HELP FAST PLEASE 3 Fair number cubes with sides number 1 through 6 were tossed in the air was the probability that all three cubes will land on an even number
Judy makes a lemon pie. Judy cuts the lemon pie into six equal pieces. Judy wants to share the pie with her friend, Edith. Judy eats one piece of the lemon pie. Edith eats one piece of the lemon pie. Judy says that each of them are one - sixth of the lemon pie. Edith says that each of them are two sixths of the lemon pie. Who Is correct?
Both Judy and Edith are correct. They each ate one-sixth of the lemon pie.
Explanation:Judy and Edith are discussing how much of the lemon pie they each ate. Judy claims that they each ate one-sixth of the pie, while Edith says they ate two-sixths. To determine who is correct, let's break it down:
Judy cut the pie into 6 equal pieces.Judy ate 1 piece, so she ate 1/6 of the pie.Edith also ate 1 piece, so she also ate 1/6 of the pie.Therefore, both Judy and Edith are correct. They each ate one-sixth of the lemon pie.
Which inequality can be used to find how many $2.50 fruit packs can be purchased for $15.00? Use f to represent fruit snacks
The inequality that can be used to find how many $2.50 fruit packs can be purchased for $15.00 is 2.50f ≤ 15, where f represents the number of fruit packs. Therefore, you can purchase up to 6 fruit packs with $15.00.
Explanation:To find how many $2.50 fruit packs can be purchased for $15.00, we can use the inequality:
2.50f ≤ 15
where f represents the number of fruit packs.
To solve the inequality, we divide both sides by 2.50:
f ≤ 6
Therefore, you can purchase up to 6 fruit packs with $15.00.
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which of the following terms- radius, chord, diameter , tangent and or secant describes the hypotenuse of a right triangle inscribed in a circle?explain your answer in complete sentences
Final answer:
The hypotenuse of a right triangle inscribed in a circle is referred to as the diameter of the circle.
Explanation:
The hypotenuse of a right triangle inscribed in a circle is referred to as the diameter of the circle.
This can be explained using the Pythagorean theorem, which states that the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. In this case, the hypotenuse of the right triangle represents the diameter of the circle.
For example, if the lengths of the legs of the right triangle are represented by a and b, then the length of the hypotenuse (diameter) represented by c can be calculated as c = √(a² + b²).
The term that describes the hypotenuse of a right triangle inscribed in a circle is the diameter. This is based on Thales' theorem, which states that the hypotenuse of a right triangle inscribed in a semicircle is the diameter of the circle.
Explanation:The hypotenuse of a right triangle inscribed in a circle is described by the term diameter. When a right triangle is inscribed in a circle, the hypotenuse always corresponds to the diameter of that circle. This is because, according to the Thales' theorem, a right angle in a semicircle suggests that the side opposite the right angle of an inscribed triangle (the hypotenuse) must be the diameter of the circle. Furthermore, the relationship between the sides and the hypotenuse of a right triangle is given by the Pythagorean theorem, which states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².
Someone help pretty please!
Tyrone has calculated that his house is 352 yards away from school. How far is this in miles? (1 mile = 1760 yards)
A More than 0.75 miles
B Less than 0.25 miles
C Between 0.5 and 0.75 miles
D Between 0.25 and 0.5 miles
j= -8c^2 - 4cd - d^2 k= -3c^2 +7cd - 3d^2 j+k =
What is the 5th term of the geometric sequence a1=120, a2=36, a3=10.8, a6=0.2916
A geometric sequence is given by terms a₁ = 120, a₂ = 36, a₃ = 10.8, a₆ = 0.2916.
The First term is given, a = 120.
Common ratio (r) would be ratio of second term to first term i.e.
[tex] r=\frac{a_{2}}{a_{1}} = \frac{36}{120} = 0.3 [/tex]
The formula for n-th term of geometric sequence is given by as follows :-
[tex] a_{n} =a*r^{n-1} [/tex]
It says to find 5th term of this given geometric sequence. For 5th term, n = 5.
[tex] a_{5} =120*(0.3)^{5-1} \\\\
a_{5} =120*(0.3)^{4} \\\\
a_{5} =120*(0.0081) \\\\
a_{5} =0.972 [/tex]
Hence, a₅ = 0.972 would be 5th term of the given geometric sequence.
What is the probability of rolling a die and getting a 4 twice in a row
The probability of getting a 4 twice in a row is [tex]\bold{\frac{1}{36} }[/tex]
What is probability?"It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
For given example,
When a die is rolled 3 times,
Total number of outcomes are,
[tex]\Rightarrow n(S) = 6^2\\\\ \Rightarrow n(S)= 36[/tex]
The probability of getting a 4 when a die is rolled is [tex]\frac{1}{6}[/tex]
[tex]\Rightarrow P(4)=\frac{1}{6}[/tex]
We want the probability of getting a 4 twice in a row.
So, the required probability is,
[tex]\Rightarrow P=P(4)\times P(4)\\\\\Rightarrow P=\frac{1}{6} \times \frac{1}{6}\\\\ \Rightarrow \bold{P=\frac{1}{36}}[/tex]
Therefore, the probability of getting a 4 twice in a row is [tex]\bold{\frac{1}{36} }[/tex]
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What is the volume of this object?
A)
24 mm3
B)
36 mm3
C)
48 mm3
D)
60 mm3
Answer:
(A) 24 [tex]mm^{3}[/tex]
Step-by-step explanation:
Length of the first piece = 8 - 6 = 2 mm
Width of the first piece = 1 mm
Height of the first piece = 6 mm
Volume of the first piece = 2 × 1 × 6= 12[tex]mm^{3}[/tex]
Length of the second piece = 6 mm
Width of the second piece = 1 mm
Height of the second piece = 6 - 4 = 2 mm
Volume of the first piece = 6 × 1 × 2= 12[tex]mm^{3}[/tex]
Volume of the entire solid = 12 + 12 = 24 [tex]mm^{3}[/tex]
Raj made this argument:
The Triangle Inequality Theorem states that if the lengths of three sides of a triangle are a, b, and c, then a + b > c. For this reason, since a, b, and c are all positive numbers, the square of a + b must be greater than the square of c. However, for a right triangle, the Pythagorean Theorem states that if the lengths of the legs are a and b, and if the length of the hypotenuse is c, then a2 + b2 = c2, not a2 + b2 > c2. Therefore, since the Pythagorean Theorem is known to be correct, and since right triangles should adhere to the Triangle Inequality Theorem, the Triangle Inequality Theorem must be incorrect.
What is wrong with Raj’s argument?
A) The square of a + b is not equal to a2 + b2.
B) One cannot assume that a, b, and c are all positive numbers.
C) It’s not true that right triangles should adhere to the Triangle Inequality Theorem.
D) It’s not true that according to the Triangle Inequality Theorem, a + b > c.
An orange has about 1/4 cup of juice. How many oranges are needed to make 2 1/2 cups of juice? Select all equations that represent this question. Plz answer!
Answer:
The answer is
D (2 1/2)/(1/4)
And 10
Oranges are needed to make 2 1/2 cups of juice
Step-by-step explanation:
From the given expression
We can solve the problem
If we state it out Mathematically
Step one
1 orange will give 1/4 cup of juice
x orange will give 2 1/2 cups of juice
Step two
By cross multiplication we have
x=( 2 1/2)/(1/4)
Let's convert the mixed fraction
2 1/2
to proper fraction we have 5/2
x=( 5/2)/(1/4)
x=5/2*4/1
x=20/2
x=10
Pam asked a bank teller to cash a check for $130. The teller gave Pam a total of 9 bills. She received $10 bills and $20 bills. How many of each type of bill did Pamela receive?
Identify the independent and dependent variables.
The equation A=25w gives the area A (in square feet) of a rectangular dance floor with a width of w feet.
The independent variable is
.
The dependent variable is
.
The equation given is: A=25w
This equation gives the area A (in square feet) of a rectangular dance floor with a width of w feet.
As we can clearly see, the area of the rectangular dance floor is dependent on the value of the width,w. As we increase the width, w, the area, A increases and as we decrease, w, A too decreases.
Therefore, the independent variable is "w" and the dependent variable is "A".
On the following composite figure, the longer edge length is 14 millimeters. The shorter edge length is 8 millimeters. The width of the figure, at its longest point, is 11.3 millimeters. Decompose the figure into parallelograms or triangles only. Explain or show how you decomposed the shape. Note: Lines that look parallel are parallel, and lines that look congruent are congruent.
Answer:
To decompose this shape I would draw a vertical line from the vertex that is pointing outside to the vertex that is pointing inside. By doing this the vertical line will give me 2 congruent parallelograms. Yes it's that simple
Step-by-step explanation:
Bryce has to complete 100 minutes of writing every ten days. He writes for 10 minutes each day. What fraction of his writing requirement does Bryce complete in five days? Write in simplest form.
Two videos on viewtube.com were recently uploaded. One is a playful kitten video and the other is a laughing baby video. The kitten video had 101010 views in the first minute after it was uploaded, and the cumulative number of views increases by 505050 views each minute. The baby video had 333 views in the first minute after it was uploaded, and the cumulative number of views increases by a factor of approximately 3.53.53, point, 5 each minute. In which minute will the baby video's cumulative number of views first exceed the kitten video's cumulative number of views?
Answer:
5
Step-by-step explanation:
An angle measures 45° what are the measures for the angles complement and supplement?
The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Paint Color
Quarts of Red Paint Quarts of White Paint
4 20
5 25
7 35
8 40
Which statement is true about the ratio of red paint to white paint in the paint color?
it is 1:16
it is 16:1
it is 5:1
it is 1:5
Answer:
(04.02) The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Paint Color
Quarts of Red Paint Quarts of White Paint
4 20
5 25
7 35
8 40
Which statement is true about the ratio of red paint to white paint in the paint color?
It is 1:16.
It is 16:1.
It is 5:1.
It is 1:5. it is this one
Step-by-step explanation:
The ratio of quarts of red paint to quarts of white paint is 1:5. Therefore, option D is the correct answer.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
From the table,
The ratio of quarts of red paint to quarts of white paint is
4:20
= 1:5
5:25
= 1:5
7:35
= 1:5
8:40
= 1:5
The ratio of quarts of red paint to quarts of white paint is 1:5. Therefore, option D is the correct answer.
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Anyone help me with this?
Which expression is equal to 5p? p + p + p + p + p 4p + 1 p + 5 p3 + p2
Caroline's bedroom is the shape of a rectangular prism that measures thirteen feet long, ten feet wide, and 9 feet high. What is the surface area of her room?