Answer:
[tex]\displaystyle c = 8[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \frac{3}{6} = \frac{4}{c}[/tex]
Step 2: Solve for c
Simplify [Reduce]: [tex]\displaystyle \frac{1}{2} = \frac{4}{c}[/tex][Multiplication Property of Equality] Cross-multiply: [tex]\displaystyle c = 8[/tex]Answer:
c = 8
Step-by-step explanation:
[tex] \small \sf \frac{3}{6} = \frac{4}{c } \\ [/tex]
Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6c, the least common multiple of 6,c.c × 3 = 6 × 4
multiply 6 and 4 to get 243c = 24
divide both side by 3
[tex]\small \sf \frac{3c }{3} = \frac{ 24} {3} \\ [/tex]
[tex]\small \sf \frac{ \cancel{3}c }{ \cancel{3}} = \frac{ \cancel{24}} {\cancel{3}} \\ [/tex]
Divide 24 by 3 to get 8.c = 8
m(x) = x+5/ x-1 and n(x) = x-3, which function has the same domain as (m•n) (x)?
help please!! first answer gets marked brainliest!
Answer:
Answer 30
Step-by-step explanation:
if you need to solve or see step- by step explanation here's a link https://mathsolver.microsoft.com/en/solve-problem/%60sqrt%7B%2050%20%20%7D%20%20%20%60times%20%203%20%60sqrt%7B%202%20%20%7D
What is the height of the parallelogram?
+
A=56 m2
8 m
Answer:
7 m
Step-by-step explanation:
A = base x height
56 = 8 x h
56/8 = h
h = 7
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 3 more than 3 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 67
A researcher who examines the causal relationship between amount of exercise (i.e., participants are randomly assigned to 30 minutes of exercise per day or no exercise) and memory abilities is using the ______ research design.
Answer: experimental
Step-by-step explanation:
Experimental research design refers to a research that is conducted with a scientific approach whereby two sets of variables are used. It adheres to the scientific research design.
An experimental research design consist of an hypothesis, a variable which the researcher can manipulate and variables which can be measured. Based on the information given, the experimental research design is used.
Evaluate the function. f(x)=3x^2 −4x Find f(−1)
Answer:
7
Step-by-step explanation:
evaluate the function means substitute x=-1 and calculate
f(x) = 3x²-4x
f(-1) =f(x=-1) = 3(-1)²-4(-1) =3+4 =7, because (-1)²=1 and -4(-1) =4
An amount of 25,000 is borrow for 15 years at 5.5% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Answer: [tex]55,811.91[/tex]
Step-by-step explanation:
Given
Principal amount is 25,000
Time Period is [tex]t=15\ yr[/tex]
Rate of interest [tex]r=5.5\%[/tex]
Amount in compound interest is given by
[tex]\Rightarrow A=P\left(1+r\%\right)^t[/tex]
Insert the values
[tex]\Rightarrow A=25,000(1+\dfrac{5.5}{100})^{15}\\\\\Rightarrow A=25,000(1.055)^{15}\\\Rightarrow A=55,811.91[/tex]
Therefore, [tex]55,811.91[/tex] must be paid back
Work out the area of this circle.
Give your answer in terms ofand state its units.
units:
Submit ANSWEI
6 mm
Plss help due in very soon
Answer:
36π mm²
Step-by-step explanation:
Formula: πr²
r=radius
r=6
π6²=36π
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x =48.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side / hypotenuse
sin x = 54 /72
Taking the inverse sin of each side
sin ^ -1( sin x) =sin ^-1 ( 54/72)
x = 48.59037789
To the nearest tenth
x =48.6
What is the sum of the 15th square number and the 5th cube number?
The sum of the 15th square number and the 5th cube number is 350.
The 15th square number will be:
15² = 15 × 15
= 225
The 5th cube number will be:
5³ = 5 × 5 × 5
= 125
The sum of the numbers will be:
225 + 125
= 350
Therefore, we get that, the sum of the 15th square number and the 5th cube number is 350.
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The composite figure is made up of a rectangle and two pentagons. Find the area. 5 5 34 S 5 A. 129 sq. units O B. 122.4 sq. units C. 225 sq. units D. 140 sq. units
Answer:
Option D, 140 sq. units
Step-by-step explanation:
Area of the rectangle part, 11*5 = 55 sq. units
Area of the pentagon part (3.4*5)*5/2 = 42.5 sq. units
Total area,
55+2*42.5 sq. units (since there are two pentagons)
= 55+85 sq. units
= 140 sq. units
Find an equation for the perpendicular bisector of the line segment
whose endpoints are (9, -3) and (-5, –7).
Step-by-step explanation:
So here is my attempt. And i guess its correct
Solve for the dimensions of the area model below and then write an equation showing how the area as a sum is equivalent to the area as a product.
Full question:
For each multiplication expression, sketch an area model. Label the dimensions and the area of each part. Then write an equation showing that the area as a product equals the area as a sum. a. (x+1)(x+2), b. 3(2x+5), c. (2x-3)(x+2), d. (x-1)(y-1), e. -2y(y+3), f. (-x+1)(3x+y-4)
Answer and explanation:
a. (x+1)(x+2)= x×x+x×2+1×x+1×2
The dimensions (length and width) is x+1 and x+2
b. 3(2x+5) = 3×2x+3×5
The dimensions is 3 and 2x+5
c. (2x-3)(x+2)= 2x×x+2x×2-3×x-3×+2
The dimensions are 2x-3 and x+2
d. (x-1)(y-1)= x×y+x×-1-1×y-1×-1
Dimensions are x-1 and y-1
e. -2y(y+3)= -2y×y-2y×3
Dimensions are -2y and y+3
f. (-x+1)(3x+y-4)= -x×3x-x×y-x×-4+1×3x+1×y+1×-4
Dimensions are -x+1 and 3x+y-4
How many fives makes 6 tens
Answer:
12.
Step-by-step explanation:
6x10 = 60.
60 divided by 12 =5.
Answer:
12
Step-by-step explanation:
5x = 60
x = 12
Can someone please help me by putting me where each one goes? !!
Answer:
5(x-2) = 5x -7
- no solution
-3(x-4) = 3x + 12
- infinitely many solution
4(x+1) = 3x + 4
- Only one solution
-2(x-3) = 2x -6
- Only one solution
6(x+5) = 6x + 11
- no solution
Rachel earned $54.79 last week. Morgan earned $50.23. About how much more did Rachel earn?
rounding and estimating
Answer:
Answer:$4.56
Step-by-step explanation:
Take $54.79 and subtract it by $50.23, to see the difference in how much more money Rachel earned.
54.79-50.23
$4.56
Hope this helps
thank you have a good day !!
Which graph below shows the solutions for the linear inequality v2-3x+1?
A
B
10, 1)
(0.1)
с
D
10.1)
16,-1)
16,-1)
Answer:
A. Graph D
Step-by-step explanation:
y >= -1/3x + 1
this means all the y values that are bigger (= above) than the line definition.
and because it says ">=", the line is included.
The table shows the height of water in a pool as it is
being filled
The slope of the line through the points is 2. Which
statement describes how the slope relates to the
height of the water in the pool?
Height of Water in a Pool
Time
(min)
2
4
6
8
10
Height
(in.)
8
12
16
20
24
The height of the water increases 2 inches per
minute.
The height of the water decreases 2 inches per
minute.
The height of the water was 2 inches before any
water was added.
The height of the water will be 2 inches when the
pool is filled.
Answer:
Step-by-step explanation:
Slope is the rate of change. For us, this rate of change is inches of water per minute. If this rate of change is 2/1, that means that the rate is changing 2 inches every minute (aka The height of the water increases 2 inches per minute, first choice in your list of possibilities).
Find the intersection point between the lines of equations:
x+y-2=0 and 3x-y+4=0
Answer:
(-0.5,2.5)
Step-by-step explanation:
The given equations are ,
[tex]\implies x + y - 2 = 0 [/tex]
[tex]\implies 3x - y +4 = 0 [/tex]
The point of intersection will be the solution of the given system of equations. Adding both , y will get cancelled . So that ,
[tex]\implies 4x +2 = 0 [/tex]
Now solve for x , we have ,
[tex]\implies 4x = -2 \\\\\implies x =\dfrac{-2}{4}\\\\\implies x = -0.5 [/tex]
Now put this value in any equation and solve out for y , we have ,
[tex]\implies -0.5 + y - 2 = 0 \\\\\implies y = 2.5 [/tex]
Therefore , the point of intersection will be ,
[tex]\implies\underline{\underline{ Point = (-0.5,2.5 ) }}[/tex]
A fruit punch mixture is made of Orange juice, Pineapple juice, in a 3:5:7 ratio. How much of each juice type do you need for a 375 mL mixture?
Answer:
Amount of orange juice = 75 ml
Amount of Pineapple juice = 125 ml
Amount of mix juice = 175 ml
Step-by-step explanation:
Given:
Type of juice
Orange juice, Pineapple juice, mix juice
Ratio: 3 : 5 : 7
Amount of juice mixture = 375 ml
Find:
Amount of each juice
Computation:
Let common ratio = a
So,
3a + 5a + 7a = 375
15a = 375
a = 375 / 15
a = 25
Amount of orange juice = 3a
Amount of orange juice = 3(25)
Amount of orange juice = 75 ml
Amount of Pineapple juice = 5a
Amount of Pineapple juice = 5(25)
Amount of Pineapple juice = 125 ml
Amount of mix juice = 7a
Amount of mix juice = 7(25)
Amount of mix juice = 175 ml
What is the domain of the function on the graph?
•all real numbers
•all real numbers greater than or equal to -2
•all real numbers greater than or equal to -5
•all real numbers greater than or equal to 0
Answer:
all real numbers
Step-by-step explanation:
got it right
Answer:
A
Step-by-step explanation:
it is all real numbers
brainiest please
Need help ASAP I will mark brainliest
Answer:
see image
Step-by-step explanation:
Anita and beth have the same number of trading cards. Anita gives 18 of her cards to beth. As a result, beth has twice as many card as anita does. How many cards did anita have before she gave some away.
Answer:
18
Step-by-step explanation:
if Anita and Beth had the same amount of trading cards this means they each had 18 cards so when Anita gave Beth her cards the number of cards Beth had have been diul ed meaning Beth now has 36 cards while Anita has non
please help! I cant figure this out!
What are the solutions to this equation? (p+6)2=25 Enter your answers in the boxes. The solutions are p = or p = .
Answer:
p= -1 or -11
Step-by-step explanation:
if you mean (p+ 6)² = 25;
then we have that:
p + 6 = √ 25: gotten by squaring both sides of the equal sign
which makes
p + 6 = ±5
P= -6 ±5
therefore;
p = -6 + 5 or p = -6 -5
HELP ASAP BRAINLIST AND 10POIMTS AND 5 STAR AND A THANKS BUT IF CORRECT
Answer:
V = 20 cm^3
Step-by-step explanation:
The volume of a prism is
V = l*w*h
V = 6*5*2/3
V = 20 cm^3
Step-by-step explanation:
hope it helps you.........
Vincent has $5 bills and $20 bills. He has a total of 24 bills and the total amount is $210. How many
$5 bills does he have?
Una pelota se lanza con velocidad inicial en el eje horizontal de Vx =1.55 m/s, y velocidad inicial en el eje vertical de Vy = 3m/s. Calcule la magnitud de la velocidad, ángulo de lanzamiento, y alcance máximo.
Answer:
Step-by-step explanation:
a) Work out the value of 10
Step-by-step explanation:
√10= 1.414×2.236
= ±3.162
hope it is helpful to you ☺️
The simple interest on certain principal is 1/5 of the amount in 5 years, find the rate of interest.
a. 5%
b. 80%
c 6 2/3
d 10%
The rate is 4% per year.
It is required to find the rate of interest.
What is simple interest ?Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
Given that:
Let, principal is P,
so, interest is P/5 in 5 yrs.
As from the formula of simple interest,
So, P/5 = P× R ×5/ 100 (R = rate)Or, R = 4%
So, rate is 4% per year.
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The missing option is e. 4%