Step-by-step explanation:
The ratio of cats to dogs at a pet store is 4:5. It means that if there are 4 cats in the store then there are 5 dogs, if there are 8 cats(4×2) there then there will be 10 dogs(5×2).
The number of cats is 16 if the ratio of cats to dogs is 4:5 if there are 20 dogs.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
The complete question is:
The ratio of cats to dogs is 4;5 if there are 20 dogs. How many cats are there?
It is given that:
The ratio of cats to dogs at a pet store is 4:5
Let 4x be the cats and 5x be the dogs
5x = 20
The above equation is a linear equation in one variable.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
x = 20/5
x = 4
Number of cats = 4x
Plug x = 4 in the above expression:
= 4(4)
= 16
Thus, the number of cats is 16 if the ratio of cats to dogs is 4:5 if there are 20 dogs.
Learn more about the ratio here:
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I NEED HELP PLZ!!! Let A=[−1 2 4 0] and v=[8 6] . Which of these is equivalent to Av?
Answer:
D. (16, 16)
Step-by-step explanation:
[(-1×8)+(4×6) , (2×8)+(0×6)]
[(-8 + 24) , (16 + 0)]
= [16 , 16]
11/14 as a repeating decimal using bar notation
Step-by-step explanation:
______
0.7857142
note the first 7 is not included in the bar
Find the area of this triangle. Round to the nearest tenth. 8m, 62°, 12m.
9514 1404 393
Answer:
42.4 m²
Step-by-step explanation:
The area can be found from the formula ...
Area = 1/2ab·sin(C)
Area = (1/2)(8 m)(12 m)sin(62°) ≈ 42.4 m²
Could you help please i really dont get it
Answer:
[tex]3.4 \: apple \: pounds = 5.61 \: dollars \\ 1 \: apple \: pound = \{ \frac{(1 \times 5.61)}{3.4} \} \: dollars \\ \\ = { \boxed{ \boxed{1.65 \: dollars \: per \: pound}}}[/tex]
Answer:
1.65
Step-by-step explanation:
5.61/3.4=1.65
solve for x. y = 1/3 (x + w)
Find the area of this figure. round your answer to the nearest hundredth.
Answer:
49.12 ft^2
Step-by-step explanation:
The triangle:
Area = 1/2 * base * height
= 1/2 * 6 * 8
= 24
The semicircle:
Area = 1/2 * 3.14 * 4^2
= 25 .12
Total area = 24 + 25.12
= 49.12 fT^2
Show algebraically that f and g are inverse functions:
g = sqrt(x+8)-4
f=x^2+8x+8
Answer:
See Below.
Step-by-step explanation:
By definition, if two functions, f and g, are inverses, then:
[tex]\displaystyle f(g(x)) = g(f(x)) = x[/tex]
We are given the two functions:
[tex]\displaystyle g(x) = \sqrt{x + 8} -4 \text{ and } f(x) = x^2 + 8x + 8[/tex]
Find f(g(x)) and g(f(x)):
[tex]\displaystyle \begin{aligned} f(g(x)) &= (\sqrt{x + 8} -4)^2 + 8(\sqrt{ x+ 8}-4) + 8 \\ \\ &= ((x+8) -8\sqrt{x + 8} +16) + 8\sqrt{x + 8} - 32 + 8 \\ \\ &= x + (-8\sqrt{x+8} + 8\sqrt{x + 8}) +(16 - 32 + 8 + 8) \\ \\ &= x \stackrel{\checkmark}{=} x\end{aligned}[/tex]
And:
[tex]\displaystyle \begin{aligned}g(f(x)) &= \sqrt{(x^2 + 8x + 8) + 8} - 4 \\ \\ &= \sqrt{x^2 + 8x+16 } - 4 \\ \\ &=\sqrt{(x+ 4)^2} - 4 \\ \\ &= (x +4) - 4 \\ \\ &= x \stackrel{\checkmark}{=} x \end{aligned}[/tex]
Hence, f and g are indeed inverses of each other.
Hello Brainly User please help me I will mark brainliest. Its really east math please help me
Solve for the value of R
Answer:
13
Step-by-step explanation:
Since the angles form 180 degrees, it will be what the equation is equal to.
Make the equation:
8r + 5 + 5r + 6 = 180
Combine like terms:
8r + 5 + 5r + 6 = 180
13r + 5 + 6 = 180
13r + 11 = 180
Solve:
13r + 11 = 180
-11 -11
---------------------
13r = 169
------ ------
13 13
r = 13
Hope this helped.
PLEASE HELP POINTS AND BRAINLIEST WILL BE GIVEN
Answer:
- 376
Step-by-step explanation:
8u = 8(- 8i + 3j ) ← multiply each element by 8
= - 64i +24j
Then
(- 64i + 24j ) • (4i - 5j )
= (- 64 × 4) + (24 × - 5)
= -256 + (- 120)
= - 256 - 120
= - 376
14 644 552 + 25 625 568
ayud estoy haciendo tarea :3
Answer:
14644552+25625568
=40270120
Step-by-step explanation:
is right answer
In exercises 1-2, solve the formula for the indicated variable.
1: Surface area of a cylinder: S=2πr^2+2πrh: Solve for h.
2: Area of a trapezoid: A=1/2h(b1 + b2); Solve for b2.
The 1 and 2 are supposed to be under to the side of b like this.
Answer:
area of a trapezoid A =1Step-by-step explanation:
2
Loretta earns $10 a week
and puts $7.50 a week
into savings account and spends
the rest. How much does she
spend in six weeks?
Evaluate x + 2.7 for x= -1.5.
The value of the expression is
[tex]\text{x}=-1,5\\\\\text{x}+2,7=-1,5+2,7=2,7-1,5=\boxed{1,2}[/tex]
Can someone help (Geometry)
Answer:
∠DAC is 35°
Step-by-step explanation:
Given:
Measure of ∠DAB = 64°
Measure of ∠CAB = 29°
Solution:
∠DAB shows the value of the overall angle.
∠CAB shows the value for almost half of the angle.
∠DAB - ∠CAB = ∠DAC
64° - 29° = ?
∴ 64° - 29° = 35°
Hence, the value of ∠DAC is 35°
How much he makes in 1 hour.
Answer: $14.5
Step-by-step explanation:
please help will give you brainly
Answer:
-1/2
Step-by-step explanation:
3(y+13 )=36
y+13=12
y=-1
(1/2) x -1 = -1/2
3(y + 13) = 36
Distribute the 3
3y + 39 = 36
Subtract 39 from both sides.
3y = -3
Divide both sides by 3
y = -1
1/2y = 1/2(-1) = -1/2
A rectangular tank 160 cm long and 80 cm wide is filled with some water. John puts a cube with side 40 cm long into the water. What is the rise in water level if the cube is completely immersed?
Answer:
The water level would rise by [tex]5\; \rm cm[/tex].
Step-by-step explanation:
Assume that the initial water level is [tex]h\; \rm cm[/tex].
Before the cube was placed in the tank, the volume of the water was the same as the volume of a rectangular prism with a length of [tex]160\; \rm cm[/tex], a height of [tex]80\; \rm cm[/tex], and a height of [tex]h\; \rm cm[/tex]:
[tex]\begin{aligned} & 160\; {\rm cm} \times 80\; {\rm cm} \times h\; {\rm cm} \\ =\; & (80 \times 160) \, h \; \rm cm^{3} \end{aligned}[/tex].
Let the rise in the water level in the tank be [tex]x\; \rm cm[/tex]. The new water level would be [tex](x + h)\; \rm cm[/tex].
The volume of the water and the submerged cube, combined, would be the same as that of a rectangular prism with a length of [tex]160\; \rm cm[/tex], a width of [tex]\rm 80\; \rm cm[/tex], and a height of [tex](x + h)\; \rm cm[/tex]:
[tex]\begin{aligned} & 160\; {\rm cm} \times 80\; {\rm cm} \times (x + h)\; {\rm cm} \\ =\; & (80 \times 160) \, (x + h) \; \rm cm^{3} \end{aligned}[/tex].
In other words:
Volume of water in this tank: [tex](80 \times 160)\, h\; \rm cm^{3}[/tex], whereasVolume of water in this tank, plus the volume of the submerged cube: [tex](80 \times 160) \, (x + h) \; \rm cm^{3}[/tex].Therefore, the volume of the submerged cube could be expressed as:
[tex]\begin{aligned} & (80 \times 160) \, (x + h) \; {\rm cm^{3}} - (80 \times 160) \, h \; \rm cm^{3} \\ =\; &(80 \times 160)\, x\; {\rm cm^{3}}\end{aligned}[/tex].
On the other hand, the volume of the cube could be expressed as:
[tex](40\; \rm cm)^{3} = 64000\; \rm cm^{3}[/tex].
Equate these two expressions for the volume of the cube and solve for [tex]x[/tex], the rise in the water level in the tank:
[tex](80 \times 160)\, x = 64000[/tex].
[tex]x = 5[/tex].
In other words, the rise in the water level in this tank would be [tex]5\; \rm cm[/tex].
PLEASE HELP MARKING BRAINLIEST
If you can make 12 cookies in 10 minutes, how long does it take to make 200 cookies
Answer:
12 cookies = 10minutes
200 cookies = x minutes
cross multiply
200×10 = 12x
2000= 12x
divide both sides by 12
X = 166.67 minutes
Step-by-step explanation:
that is 200 cookies will take 166.67 minutes
Answer:
[tex]12 \: cookies \: in \: 10 \: minut \: \\ 1 \: cookie \: in \: \frac{10}{12} = \frac{5}{6} \: minute \\ for \: 200 \: cookies = \frac{5}{6} \times 200 = 166.67 \: minute \\ thank \: you[/tex]
There are 6 times as many dogs as cats . If the total number of dogs and cats is 21 , how many dogs are there?
Answer:
126 cats .................
126 dogs........
evaluate the expression -(5/7)^0
Answer:
1
Step-by-step explanation:
Evaluate expression
a) -19 + 3(-13 + 4*3)
b) | -7(2) |
c) 15 – 3 | - 4-2 |
Answer:
well i know the first one
-19+3(-13+4*3)
= -19+3(-13+12)
= -19+3(-1)
= -19-3
= -22
Alix is 6 inches shorter thelan Ben. Alix is p inches tall. Write an expression to show how tall Ben is
Answer:
p+6
Step-by-step explanation:
-.0666
Rational or
Irrational?
WHY
Answer:
It's irrational
Step-by-step explanation:
An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point.
Answer:
Rational
Step-by-step explanation:
Irrational numbers go on FOREVER.
An example is
1. π
2.[tex]\sqrt{2}[/tex]
....
Surds are irrational. A surd is a square root of a number that goes on forever.
Some irrational numbers have recurring digits (repeating digits)
10/3 is an example:
3. 333333333333333333333333333333333333333333............
Using BODMAS, I think but please help!!!
And show the steps
Answer:
= 12
Step-by-step explanation:
2 × {4 ÷ 2 -5}^2 -6
Solve the brackets first
2 × { 2 -5}^2 -6
2 ×{-3 }^2 -6
2 × 9 -6
18 -6
= 12
Step-by-step explanation:
[ 4 ÷ 2 - 5 ] ² - 6
(2 - 5)² - 6
(-3)² - 6
9 - 6
= 3
How to solve -3/9 + ( -2 9/10)
[tex] - 3 \sqrt{8 + ( - 2 \times \frac{9}{10} } [/tex]
9514 1404 393
Answer:
-3 7/30-7.46994Step-by-step explanation:
We understand this to be two separate problems.
-3/9 +(-2 9/10) = -(3/9 +2 9/10)
= -(10/30 +87/30) = -97/30 = -3 7/30
__
-3√(8 +(-2(9/10))) = -3√(8 -1.8) = -3√6.2 ≈ -7.46994
__
Additional comment
A calculator can help with these, especially if it is able to deal with rational numbers. (Many graphing calculators and some scientific calculators will do that more or less nicely. My favorite Android calculator app makes arithmetic with fractions and mixed numbers very easy.)
if (a^-1+b^-1)(a+b)^-1=a^mb^n.prove that a^(m-n)=1.
Answer:
46666
Step-by-step explanation:
please help!!!!!!!!!
Answer:
110
Step-by-step explanation:
First, find the perimeter of 1 fence.
55/2 or [tex]27\frac{1}{2}[/tex]
Multiply by the number of fences (4)
110
I hope this helps!
What is the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1)?
x2 – 2x – 3
x2 + 2x + 7
x2 – 3x + 8
x2 – 2x + 3
Answer:
the answer would be x^2 - 2x + 3
have a good day !! :D
Step-by-step explanation:
Answer:
D. x2 – 2x + 3
Step-by-step explanation:
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