Answer:
The longer side of the rectangle is 25 yards.
Step-by-step explanation:
The area of a rectangle, A = 100 square yards
The perimeter of a rectangle, P = 58 yards
We formula for area and perimeter of a rectangle is given by :
A = lb
and
P = 2(l+b)
ATQ,
lb = 100 ...(1)
2(l+b) = 58
(l+b) = 29 ....(2)
We need to solve equation (1) and (2).
l = 4, b = 25
So, the longer side of the rectangle is 25 yards.
A water jug holds 8 quarts of water. The jug is shared evenly between 4 people. How many cups of water does each person get?
What do we use to solve one-step equations to find out the value of the variable?
Answer: To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The inverse operations are: Addition and subtraction.
hope this helps
Find area of triangle ABC
Area of a Triangle = A = ½ (b × h) square units
Step-by-step explanation:
where B and C are the base and height of the triangle, respectively.
If these two shapes are similar, what is the measure of missing length b?
Step-by-step explanation:
the length of B = 7 milimeter
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Find the area of the figure.
Rationalize the denominator 2√5/√6
Step-by-step explanation:
to rationalise the denominator, you need to multiply the denominator with itself and the numerator.
Mr datu has enough money to pay 8 workers for 15 days if he adds 4 more workers for how long can he pay at the same rate?
Answer:
10 days
Step-by-step explanation:
Mr Datu can pay 8 workers for 15 days,
Then at the same rate he can pay 1 worker for the number of days = 15×8
= 120
If he adds number of workers = 4
Then total number of workers = 8 + 4 = 12
With the same rate Mr Datu can pay 12 workers for number of days = [tex]\frac{120}{12}[/tex]
= 10 days
Therefore, Mr Datu can pay 12 workers for 10 days a the same rate.
1/2 gallon of apple cider is $2.80. What is the price per ounce ?
Answer:
35 cents
Step-by-step explanation:
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Make b the subject of the formula a = b + 6
Answer:
b=a-6
Step-by-step explanation:
Solve for c: c=5 5/6 x 2
Hi there!
c=11 2/3
1.Convert 5 5/6 into mixed number:
[tex]5 \frac{5}{6}=\frac{35}{6}[/tex]
2.Convert 2 into fraction term:
[tex]2=\frac{2}{1}[/tex]
3.Convert both fraction into same denominator:
[tex]\frac{35}{6}=\frac{35}{6}[/tex]
[tex]\frac{2}{1}=\frac{12}{6}[/tex]
4.Multiply the two terms:
[tex]\frac{35}{6}[/tex]·[tex]\frac{12}{6}=\frac{70}{6}[/tex]
5.Simplfly the fraction term:
[tex]\frac{70}{6}=\frac{35}{3}[/tex]
[tex]\frac{35}{3}=11 \frac{2}{3}[/tex]
Therefore, c=11 2/3.
find the 10th and nth term of each G.P.:5,25,125,.....
Answer:
The [tex]n^{th}[/tex] of the sequence
[tex]t_{n} = ar^{n-1}[/tex]
The [tex]10^{th}[/tex] of the sequence
[tex]t_{10} = 5(5)^{10-1} = 9,765,625[/tex]
Step-by-step explanation:
Explanation:-
Given that the geometric sequence
5, 25 , 125 ,....
First-term a= 5
Difference [tex]r = \frac{25}{5} =5[/tex]
The [tex]n^{th}[/tex] of the sequence
[tex]t_{n} = ar^{n-1}[/tex]
The [tex]10^{th}[/tex] of the sequence
[tex]t_{10} = 5(5)^{10-1} = 9,765,625[/tex]
Sally goes fishing with Dan. They catch 6 trout. If they equally split up the trout, how may will each one get
Answer:
they will get 3 each
Step-by-step explanation:
Six more than twice a number is greater than negative fourteen. Solve the inequality for the unknown number
Answer:
Step-by-step explanation:
2x+6 > -14
Subtract 6 from both sides
2x > -20
Divide both sides by 2
x > -10
The solution of the inequality 2x + 6 > - 14 will be greater than the negative 10.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Six more than twice a number is greater than negative fourteen.
Let x be the number. Then the equation will be
2x + 6 > - 14
Simplify the inequality, then the value of x will be
2x > - 20
x > - 10
The solution of the inequality 2x + 6 > - 14 will be greater than the negative 10.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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Which expression is equivalent to 3 b minus 1? 5 b + 3 minus b minus b minus 4 5 b + 3 minus 2 b minus 5 2 b minus 5 + b minus 4 b + b minus 5 minus 5 b + 4
Answer: 5b + 3 - b -b - 4
Step-by-step explanation:i think thats the answer pls mark brainliest
Answer:
5b + 3 - b -b - 4
Step-by-step explanation:
Write the equation and solve. Show all work.
Jaidyn sold half of her comic books and then bought 16 more. She now has 36. How many did she begin with?
Answer:
she begin with 40 comic books
Solve the following equation for c.
E=mc^2
En un triángulo obtusángulo, uno de los ángulos mide 20° mas que el otro. El tercer ángulo, mide el doble que el mayor de los dos que hemos citado. ¿?Cuánto miden los ángulos de dicho triángulo
Answer:
La medida del primer ángulo es 30°, la medida del segundo ángulo es 50° y el tercer ángulo mide 100°.
Step-by-step explanation:
Siendo "x" el valor de un ángulo del triángulo obtusángulo, sabes que uno de los ángulos, llamado segundo ángulo, mide 20° más que el primero. Este segundo ángulo se representa como x + 20°.
Además, un tercer ángulo mide el doble que el mayor de los dos, que en este caso es el ángulo cuya expresión es x + 20°. Por lo que el doble de este será 2*(x + 20)°, que será la medida del tercer ángulo.
Teniendo en cuenta que la suma de los ángulos interiores de un triángulo es 180°. Entonces, es posible sumar los valores de cada uno de los ángulos e igualarlos a 180°:
x + x + 20° + 2*(x + 20°) = 180°
Resolviendo:
x + x + 20° + 2*x + 2*20° = 180°
x + x + 20° + 2*x + 40° = 180°
4*x + 20° + 40° = 180°
4*x + 60° = 180°
4*x = 180° - 60°
4*x = 120°
x = 120° ÷ 4
x = 30°
Entonces, la medida del primer ángulo es 30°. El segundo ángulo es calculado como x + 20° = 30° + 20° = 50° mientras que el tercer ángulo es 2*(x + 20°) = 2*(30° + 20°) = 2*(50°) = 100°
La medida del primer ángulo es 30°, la medida del segundo ángulo es 50° y el tercer ángulo mide 100°.
Can someone please help me.... I need help with 43 muiltiplyed by 6 divedied by 2 simplafied to a frcation!
Answer:
Your Answer will be 129, not a fraction. It will be a whole number
Step-by-step explanation:
43 x 6 = 258
258 / 2 = 129
I need answer ASAP: You are running a fuel economy study. One of the cars you find is blue. It can travel 40 1/2 miles on 1 1/4 gallons of gasoline. Another car is red. It can travel 22 2/5 miles on 4/5 gallons of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on of gasoline?
Answer:
Blue: 32.4 mpg
Red: 28 mpg
The Blue car will travel farther on a gallon of gasoline
Step-by-step explanation:
Blue: 40.5/1.25=32.4 mpg
Red: (22 2/5)/(4/5) =22.4/0.8=28 mpg
Logan made a scale drawing of a neighborhood park. The volleyball court is 2 centimeters long in the drawing. The actual volleyball court is 18 meters long. What scale did Logan use for the drawing?
Answer:
1 : 900
Step-by-step explanation:
18 m = 1800 cm
2:1800 reduced is 1:900
The measures of the two sides of an isosceles triangle are 8x-13 and 4x+17. What is the value of x if these two sides are congruent?
i dont get this please help with the explanation and steps
Simplify 3x^2y^3•x^4y
Answer:
Step-by-step explanation:
3x²y³·x⁴y = 3x²x⁴y³y = 3x²⁺⁴y³⁺¹ = 3x⁶y⁴
Find x.
2x + 40
3x
4x
X + 50
x= [?]
I
Enter
Answer:
[tex]x = 27[/tex]
Step-by-step explanation:
A shape exterior angles add up to 360.
All of these angles are exterior angles so we can add up all of them to and set it equal to 360 to find x.
[tex]3x + 4x + 2x + 40 + x + 50[/tex]
[tex]10x + 90 = 360[/tex]
[tex]10x = 270[/tex]
[tex]x = 27[/tex]
How many quarters and dimes would you need to have both 12 coins and $3 at the same time?
Answer:
12 quarters and no dimes
Answer:
(6,6)
(8,10)
(12,0)
Y =4.2x is it a linear or exponential
Answer:
[tex]y = 4.2x[/tex] is a linear equation.
Step-by-step explanation:
The slope-intercept form of the line or linear equation is of the form
[tex]y = mx+b[/tex]
where
[tex]m[/tex] represents the slope
represents is the y-intercept
In our case, the given equation is
[tex]y = 4.2x[/tex]
comparing with the slope-intercept form of the line or linear equation
[tex]y = mx+b[/tex]
Thus,
The slope of the equation will be: m = 4.2 The y-intercept of the equation will be: b = 0As the equation [tex]y = 4.2x[/tex] resembles the linear equation [tex]y = mx+b[/tex] of the line.
Hence, [tex]y = 4.2x[/tex] is a linear equation.
Please also check the attached graph of the linear equation [tex]y = 4.2x[/tex] .
Important Tips:
We know that the graph of the linear equation is a straight line. Thus, the graph of the linear equation [tex]y = 4.2x[/tex] will be a straight line.As the y-intercept of the linear equation is zero, Thus, the line [tex]y = 4.2x[/tex] will pass through the origin (0, 0). It is also clear from the attached graph.∴ [tex]y = 4.2x[/tex] is a linear equation.
I need help doing this ?
Answer:
It would be 21.6
Step-by-step explanation:
First 2% of 16000 is 320.
Now we take our wanted value of 22900 and subtract 16000 from it to get 6900.
We take our difference of 6900 and divide this by 320 and get 21.5625
That rounded to the nearest tenth is 21.6
Please I need help solving this 36a +32
Which expressions does the model represent? Choose ALL the correct answers
Answer:
the first one and the last one
Step-by-step explanation:
the other 2 have numbers above 1.