Answer:
Pet Hotel: 42.50 x + 64 y =277
Animal Spa: 35.50x + 50.5y = 225.50
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each place:
For Pet Hotel, the total cost (277) must be equal to the product of the number of cats (x) and the charge per cat (42.50) plus the product of the number of dogs (y) and the charge per dog (64) .
Mathematically speaking:
Pet hotel: 42.5 x + 64 y =277
Same process for Animal Spa:
Animal Spa: 35.5 x + 50.5y = 225.50
The system is:
42.5 x + 64 y =277 (Pet Hotel)
35.5 x + 50.5y = 225.50 (Animal Spa)
Which of the following number sentences is an example of the associative property of multiplication?
4 × 5 = 5 × 4
6 × 1 = 6
20 × (10 + 6) = (20 × 10) + (20 × 6)
(12 × 3) × 8 = 12 (3 × 8)
20 × (10 + 6) = (20 × 10) + (20 × 6)
(12 × 3) × 8 = 12 (3 × 8)
What is the greatest common factor for each group?
Answer:
Left group: [tex]2x^{5\\}[/tex] Right group: 3
Step-by-step explanation:
Right group: 3.x - 21 = 3.x - 3.7 = 3 . ( x - 7 )
21 is equal 3 times 7. When we do this change, it is clear which is the common factor, which is just the number 3.
Left group: 2[tex]x^{6\\}[/tex] + 14[tex]x^{5\\} \\[/tex] = 2[tex]x^{5\\}[/tex].x + 2[tex]x^{5}[/tex].7 = 2[tex]x^{5\\}[/tex] . (x + 7)
Explanation: From the first term we can take 2[tex]x^{5\\}[/tex] and an x is the rest. From the second term we take 2[tex]x^{5\\}[/tex] either, but here the rest is 14. That's the reason the common factor is 2[tex]x^{5\\}[/tex].
The math club surveyed 100 students about the number of math courses in which they were enrolled and the weight of their backpacks. Classify the random variables from the survey.
Number of math courses, discrete; weight of backpack, discrete
Number of math courses, discrete; weight of backpack, continuous
Number of math courses, continuous; weight of backpack, discrete
Number of math courses, continuous; weight of backpack, continuous
Unable to determine from information given
Answer:
number of math cpurses: discrete. weight of backpacks: continuous
Step-by-step explanation:
Find the volume of the composite space figure to the nearest whole number.
Answer:
180cm^3
Step-by-step explanation:
Is 2x^2+5x^2-8 a monomial, binomial or trinomial?
Answer:
trinomial
Step-by-step explanation:
plus and minus signs separate terms.
2x^2 is a term
5x^2 is another term
-8 is another term.
The given algebraic expression is binomial.
The given expression is 2x²+5x²-8 (7x²-8).
We need to check whether the given expression is a monomial, binomial or trinomial.
What are the different types of algebraic expression?The different types of algebraic expression are explained below:
Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.
Binomial: An algebraic expression which consists of two non-zero terms is called a binomial.
Trinomial: An algebraic expression of three non-zero terms only is called a trinomial.
Now, the given expression 7x²-8 as two terms.
Therefore, the given algebraic expression is binomial.
To learn more about an algebraic expression visit:
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5 + w + 21
What is the answer helped me please
Answer:
w+5=7
Step-by-step explanation:
SOMEONE, PLEASE HELP ME OUT!
Answer:
B
Step-by-step explanation:
Angle P and Angle Q are co- interior angles so they add up to 180 degrees
If angle P is 116, then:
116+ x= 180
(x= Angle Q)
x=180-116
x=64
What is the equation of a horizontal line passing through the point (-3, 8)?
Ox=-3
Oy=8
Ox= 5
Oy=-11
Answer:
Y=8
Step-by-step explanation:
A horizontal line is going to be parallel to the x-axis, so you need to use your y-value to determine the equation of the line. Your y-value in the coordinate (-3,8) is 8, so y=8
Answer: y = 8
Step-by-step explanation: Whenever we are given a line and the problem says that it's horizontal or a flat line, we know that the equation of the line will always be in the form "y = a number".
Since we are given that the y-coordinate is 8, that means that
the equation of this line will be y = 8.
Please respond with the format showed on the picture so use . after the letter and display the answer.
Answer:
c
Step-by-step explanation:
(24 - 15) x 4 - 3 x 2
9 x 4 - 3 x 2
36 - 6
30
What if the diameter of the inner sphere is 1.8 meters. What is the volume of the inflated space?
Answer:
Volume is 3.05m³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere
Step one
The formula for the volume of a sphere is expressed as
V=4/3πr³
Step two
Given data
Diameter d = 1.8m
Radius r = d/2= 1.8/2= 0.9m
Step three
Substituting our given data we have
V= 4/3*3.142*0.9³
V= 4/3*3.142*0.729
V= 9.162/3
V=3.05m³
Logan is 4 times older than his cousin Dylan .Logan is less than 12 years old.which inequality shows the possible age Dylan could be.
A. d< 3
B . d > 3
C. d < 48
D. d > 48
which store will she purchase the rug from
Aiyanna and Rose have 42 cards to sign.Aiyanna signs 1/3 of the cards,while Rose signs 4/7.How many cards are left to be signed
Answer: Rose
Step-by-step explanation:
Aiyanna. 1/3 of 42= 14. 1/3 = 7/21
Rose. 4/7 of 42 = 24 4/7 = 12/21
Answer:
Aiyanna. 1/3 of 42= 14. 1/3 = 7/21
Rose. 4/7 of 42 = 24 4/7 = 12/21
Step-by-step explanation:
PLEASE HELP I DON'T HAVE ANYTIME LEFT!!!!
Which inequality is true? Use the number line to help.
A number line going from negative 2.5 to positive 2.5 in increments of 0.5.
Negative 1.5 greater-than 0.5
Negative 0.5 greater-than 0
Negative 1.5 less-than negative 0.5
One-half greater-than 0.5
Answer:
Negative 1.5 less than negative 0.5
Step-by-step explanation:
False, negative 1.5 would not be greater than 0.5 since negative 1.5 is a negative meaning it goes to the left of the zero, so it is less than 0.
False, negative 0.5 is again less than 0 so therefore it would not be greater.
False, one half is the same as 0.5 just in word form.
That means, negative 1.5 is less than negative 0.5 since it is further away from the 0.5 going to the left.
Answer:
C. –2.5 < –2
Step-by-step explanation:
Plz Help!
On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(20, 10), R(−20, 10), S(−20, −20), and T(20, −20), and represents the floor plan of a room. Find the perimeter and area of the room.
Answer:
P 140 units
A 1200 units^2
Step-by-step explanation:
The length of the rectangle is 20 to -20 = 20 - -20 = 40 units
The width of the rectangle is 20 to -10 = 20 - -10 = 30 units
The perimeter is given by
P = 2 ( l+w) = 2 (40+30) = 2 (70) = 140 units
The area is given by
A = lw = 40*30 = 1200 units^2
Which table represents of a linear function?
Answer:
X | Y
2 | 7
4 | 9 <-- linear.
6 | 11
8 | 13
A linear function is when there is an even consonant decline or up-rise.
X | Y
1 | 2
2 | 4 <-- also linear.
3 | 6
4 | 8
If b^p=N, then which of the following statements is also true?
it should be logb^N=p
What is the volume in cubic centimeters if the
pyramid has a height of 27 centimeters?
Answer:
The volume of the pyramid would be 4500 cm³.Step-by-step explanation:
Formulas you would be using:
Volume of a pyramid: [tex]V = \frac{bh}{3}[/tex] b = base, h = height
Area of a trapezoid: [tex]A = \frac{a+b}{2} h[/tex] a = base₁ , b = base₂ , h = height
First, we're going to find the area of the trapezoid, which is the base of the pyramid.
We are given that a = 20, b = 30, h = 20
Plug it in:
[tex]\frac{20+30}{2} (20)[/tex] = 500 cm²
Now that we have found the base of the pyramid, we can plug it in along with the height of the pyramid.
[tex]V = \frac{(500)(27)}{3}[/tex] = 4500 cm³
Hope this helps :D
PLEASE ANSWER QUICKLY!!!
You have a regular deck of 52 cards. You are wanting to draw a king, than an ace. You draw the first card, then replace it back into the deck. Have you created an independent or dependent event?
Answer:
Dependent Event
Step-by-step explanation:
Sorry if this was late!
What is the surface area of the square pyramid represented by the net below?
Answer:
64 cm^2
Step-by-step explanation:
Square: 4*4 = 16
Triangles: 4((4*6)/2))
= 4(24/2)
= 4(12)
= 48
Add the square and triangles together
= 16 + 48
= 64
The total will be 64 cm^2
Answer: 64 cm2
Step-by-step explanation:
Can someone explain and answer
Answer:
D. y = -2x + 20
Step-by-step explanation:
first, plot these points on a linear graph.
work down from the top:
A. y = 2x + 5
look at the last number first, this means the line will cross over the y axis (vertical line) at + 5. draw a point on + 5
y = 2x + 5
From this point (+5), the 2x means that for every 1 square you move across (to the right), you will go up 2. This will make the second point of the line. connect the dots. (see picture 1 below)
B. y = 2x - 6
the last number means the first point will be on -6 on the y axis.
y = 2x - 6
the 2x means that every 1 square you go across (to the right) from that point, you will move up 2
C. y = 2x
as there is no second number, this line will cross through the center of the graph. the 2 means that for every 1 square you move across from that point, you will move up 2
D. y = -2x + 20
the +20 means this line will cross the y axis and + 20, the -2 means that for every 1 square you move across to the right, you move DOWN 2.
this is the only line that moves down from left to right
if the relationship is proportional, what is the missing value from the table?
A 8
B 9
C 12
D 14
Answer:
C 12
Step-by-step explanation:
16 × 6 ÷ 8 = 12
check answer: 24 × 12 ÷ 16 = 18
Pythagorean theorem:
Is a triangle with the following side lengths a right triangle? Why?
a = 4
b = 6
c = 8
Example:
This does/does not make a right triangle because...
Answer/Step-by-step explanation:
This does not make a right triangle because the Pythagorean Theorem shows that 4^2 + 6^2 does not equal 8^2.
16 + 36 = 64
52 doesn't equal 64.
Answer:
This does not make a right triangle because according to the pythagorean theorem, a^2+b^2=c^2. 16+36 does not equal 64, thefore, the triangle with the following sides is not a right triangle.
Ellen’s dog has a pen that is 32 feet by 33 feet. What is the area of the dog pen? A rectangle with length 3 cubed feet and width of 3 squared feet. Find the area. 1. Multiply powers: 32 · 33 2. Expand each power: (3 · 3) · (3 · 3 · 3) 3. Simplify: 35 Complete each sentence. The of the original exponent is the exponent in the power of product. The dog pen has an area of square feet.
Answer:
3^5 = 243 square feet
Step-by-step explanation:
Ellen’s dog has a pen that is 3² feet by 3³ feet. To find its area we follow the next steps:
1. Multiply powers:
A = 3² * 3³
2. Expand each power:
A = (3*3) * (3*3*3)
3. Simplify:
[tex]A = 3^5[/tex]
The addition of the original exponents is the exponent in the power of product. The dog pen has an area of [tex]3^5[/tex] square feet.
The area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.
The complete sentences are actually the way to solve the question and can be completed as mentioned below:
A rectangle with a length of 3 cubed feet and a width of 3 squared feet.
Find the area.
1. Multiply powers: Area = 3² · 3³
2. Expand each power: Area = (3 · 3) · (3 · 3 · 3)
3. Simplify: Area = [tex]\bold{3^5}[/tex]
The addition of the original exponents is the exponent in the power of the product. The dog pen has an area of [tex]\bold{3^5}[/tex] square feet.
Hence, the area of Ellen's dog pen is [tex]\bold{3^5}[/tex]square feet.
Learn more about the Area:
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Find the number of positive numbers less than 2020, which can be written as the sum of five consecutive positive numbers.
Integers*?
Let [tex]n[/tex] be the smallest of these five consecutive integers. Then the sum of the five consecutive integers is [tex]\frac{5(2n+4)}{2}=5n+10,[/tex] so we seek the largest positive integer [tex]n[/tex] such that [tex]5n+10<2020.[/tex] Solving this inequality, we find that [tex]n<402,[/tex] so there are [tex]\boxed{401}[/tex] such positive integers.
The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width in units of the rectangle
Answer:
width = 2 units
Step-by-step explanation:
If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.
the area of a rectangle is length * width
so just substitute the values that we have now.
x (length) * (x-4) width = 12 (area of rectangle)
so that gives us
x^2 - 4x =12
subtract 12 from both sides
x^2 - 4x - 12 =0
now factor this equation
x^2 + 2x - 6x -12 = 0
x(x+2) - 6(x+2) = 0
(x-6)(x+2) = 0
x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE
length = 6, and width = 6 -4 = 2
Answer:
W=2 units
Step-by-step explanation:
Length=L
Width=L-4
Area of a rectangle= L*W
L(L-4)=12
L^2-4L=12
L^2-4l-12=0
Now we have a quadratic equation
(L-6)(L+2)=0
L=6, L=-2
L cannot be -2 because it is negative, so L must be 6.
BUT it is asking for the width
and it is given that the width is the length minus 4 units, so
6-4= 2 units
Find the
volumes of the two rectangular prisms
described in the table. If you divide
each dimension of the larger prism
by 2, how does the new volume
compare to its original volume?
Explain.
Answer:
1. 135 2. 16.875
Step-by-step explanation:
1. 5 x 4.5 x 6 = 135
2. 2.5 x 2.25 x 3 = 16.875
Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5%
per year. What interest does he earn at the end of 1 year?
Answer:
$60
Step-by-step explanation:
SI = (PRT)/100
SI = Simple Interest
P = Principal
R = Rate ( in decimal form)
T = Time
SI = (1200 x .5 x 1)/100
SI = 6000 / 100
SI = 60
i have alot of work to dk sk if anyone could help pleas
All in the attachment :)
and don't complain about my drawing skills ;)
Use the table below.
If Sally is trying to keep her dinner under 500 calories, can she have a broiled sirloin, baked potato and salad and ½ cup fruit cocktail?
No
Yes
Answer:
Yes
Step-by-step explanation:
1/2 fruit cocktail—>57
broiled sirloin—>240
baked potato—>145
442 is the total so yes
