Answer:
Length of rectangle = 64 inches
Width of rectangle = 32 inches
Step-by-step explanation:
Perimeter of rectangle = 192 in
Length = x
Width = [tex]\frac{1}{2}x[/tex]
We need to find the length and width.
The formula used is: [tex]Perimeter\:of\:rectangle=2(Length+Width)[/tex]
Putting values and finding value of x
[tex]Perimeter\:of\:rectangle=2(Length+Width)\\192=2(x+\frac{x}{2} )\\192=2(\frac{2x+x}{2} )\\192=2(\frac{3x}{2} )\\192=3x\\x=\frac{192}{3}\\x=64[/tex]
So, we get x = 64
The length of rectangle x = 64
The width of rectangle = [tex]\frac{1}{2}x[/tex] = [tex]\frac{64}{2} = 32[/tex]
So, Length of rectangle = 64 inches
Width of rectangle = 32 inches
Answer:
Length of rectangle = 64 inches
Width of rectangle = 32 inches
Step-by-step explanation:
what are the X and Y intercepts of f(x)=-√x
Answer:
The function intercepts the x and y axis in the same spot, namely (0,0)
You bought 8 bags of dog food and 2 boxes of dog treats for a total of $135. Your friend bought 6 bags of dog food and 4 boxes of dog treats for a total of $110. Each bag of dog food costs the same amount. Each box of dog treats costs the same amount. Write a system of equations, then find the cost of one bag of dog food.
Answer:
8f + 2t = $135 - - (1)
6f + 4t = $110 - - (2)
$16
Step-by-step explanation:
Given that:
f = dog food
t = dog treat
8f + 2t = $135 - - (1)
6f + 4t = $110 - - (2)
From (1)
4f + t = 67.5
t = 67.5 - 4f
Put t = 67.5 - 4f in (2)
6f + 4(67.5 - 4f)= 110
6f + 270 - 16f = 110
-10f = 110 - 270
-10f = - 160
f = 16
One bag of dog food = $16
Solve the equation.
x2 + 13x + 30 = 0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution(s) is/are x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
O B. There is no solution.
Given that,
An equation : [tex]x^2 + 13x + 30 = 0[/tex]
To find,
The value of x.
Solution,
We have, [tex]x^2 + 13x + 30 = 0[/tex]
We can solve it as follows :
[tex]x^2 + 10x +3x+ 30 = 0\\\\x(x+10)+3(x+10)=0\\\\(x+3)(x+10)=0\\\\(x+3)=0\ \text{and}\ (x+10)=0\\\\x=-3\ \text{and}\ x=-10[/tex]
So, the solution of the given equations are -3 and -10.
easy brainliest 2+2/-2
solve for x what is the solution to the system of equations
Answer:
x=-6,12
Step-by-step explanation:
Answer:
3,-2
Step-by-step explanation:
Please help! Due today!!
Answer:
l
Step-by-step explanation:
...sorry by any chance if the answer is wrong
On the swim team, for every 10 girls there are 7 boys. If there are 21 boys on the swim team, how many girls are there?
Answer:
30 girls
Step-by-step explanation:
Every 10 girls there are 7 boys.
So if there are 3 groups of 7 boys, there will be 30 girls.
Check:
10 girls: 7 boys
+10 girls: 7 boys
+10 girls: 7 boys
= 30 girls: 21 boys
3.2 less than a number m
Answer:
m-3.2
Step-by-step explanation:
-8b + 4(1 + 5b) = -6b - 14
Answer:
b = -1
Step-by-step explanation:
-8b + 4 + 20b = -6b - 14
12b + 4 = -6b - 14
18b + 4 = -14
18b = -18
b = -1
Math help find the rise.
Answer:
-16
Step-by-step explanation:
The equation for a slope is rise/run. You know from the question that the slope is -4/5 in its simplest form. However, the run in its original form is 20.
So if the run is 5 in its simplest form, but 20 in its original form, then this means the slope must have been simplified by dividing both the original rise and the original run by 4, because 20/4 = 5.
That also means we can find out the original rise by doing the inverse of what we did above. We can multiply the rise in its simplest form by 4 to get the original. That gives us -16 (because -4*4 = -16).
Joes family is planning a kayaking trip. Kayak Place charges a base fee of $15 plus $4.50 per hour. Kayak Store charges a base fee of $12.50 plus $5 per hour. Write an expression for each Kayak rental. Select all that apply.
Answer:
15+4.50x, 12.50+5x
Step-by-step explanation:
1) Supposed that you have an account with the overdraft
protection. Your account balance is $40.00, you spend
$85.00 at a grocery stores. The bank charge you $30.00
every time you overdraft the account. What is your
account balance after the overdraft and the bank fee?
A) -$60.00
B) -$75.00
C) -$80.00
D) -$70.00
Answer: B) -$75.00
========================================================
Explanation:
Draw a vertical number line. Plot 40 on this line. Then move down 85 units to arrive at 40-85 = -45. The negative indicates that you're in debt.
Then move down another 30 due to the overdraft fee and we have -45-30 = -75 as the bank balance.
-------------------
Put another way:
Start at $40. If you spend $40, then your balance is $0. You need to spend another $45 to get all of the groceries (since the grocery bill is 40+45 = 85 dollars). That's where the -45 comes from, to indicate you're 45 dollars in debt. This is before the overdraft fee kicks in. Adding on that fee gets a total debt of 45+30 = 75 dollars. So that's why the final balance is -75 dollars.
A recipe requires 1\4 of a cup of cranberries for 1 batch. How many beaches of scones can be made using 6 1/2 cups of cranberries?
Answer:
26
Step-by-step explanation:
1 batch is 1/4 cups of cranberries.
This means that we have to find the number of groups of 1/4 in 6 1/2 cups to find the number of batches.
(The decimal forms of these numbers are 6.5 and 0.25)
6.5/0.25=26
There are 26 batches
HELP PLEASE!!!!! ASAP
Answer:
I think it would be A
Step-by-step explanation:
Complete the table to investigate dialations of exponential functions.
Answer:
a = 1, b = 3, c = 1, d = 2, e = 6, and f = 8
Step-by-step explanation:
The given exponential functions are;
2ˣ, 3·2ˣ, and [tex]2^{3 \cdot x}[/tex]
Let f(x) = 2ˣ, h(x) = 3·2ˣ, and g(x) = [tex]2^{3 \cdot x}[/tex]
From the table for investigating the dilations of exponential function, we have;
a = f(0) = 2⁰ = 1
b = h(0) = 3·2⁰ = 3 × 1 = 3
c = g(0) = [tex]2^{3 \times 0}[/tex] = 2⁰ = 1
d = f(1) = 2¹ = 2
e = h(1) = 3·2¹ = 3 × 2 = 6
f = g(1) = [tex]2^{3 \times 1}[/tex] = 2³ = 8.
Danielle picks 744 apples at an apple orchard. She divides the apples equally into 40 baskets.
Part A
When dividing 744 ÷ 40, the first digit of the quotient will be in what place?
Hundreds
Tens
Ones
Thousands
Part B
How many apples will be in each basket? Enter your answer in the box.
apples=??
Part C
How many apples will be left? Enter your answer in the box.
apples=??
Answer:
Answer:
Tens
PART B: 18
PART C: 24
Step-by-step explanation:
Answer right and I will give u brainly and if u dont know dont answer
Answer:
Step-by-step explanation:
j+28.6=43
-28.6 -28.6
_________________
j=14.4
Hope this helps :>
30 points!
Either Table C or Table D shows a proportional relationship.
Plot all the points from the table that shows a proportional relationship.
Table C
x 3 4 5 6
y 1 2 3 4
Table D
x 2 4 8 10
y 1 2 4 5
Answer:
Its D
Step-by-step explanation:
Espero que tengas un gran día amigo
What does two plus two equal?
Answer:
two plus two equals 4
2 +2 = 4
Answer:
4
Step-by-step explanation:
when you do 2+2 you get 4
10.5 x 2 and 2/3
can someone explain how to do this too?
10.5 X 2 = 21
2/3 = 0.666666667
help me please. i need it
Answer: See explanation
Step-by-step explanation:
m∠A and m∠O are alternate interior angles so they're congruent.
m∠A = m∠O
m∠A = 65°
AM and SO are congruent sides
AM = SO
AM = 86
m∠S and m∠M are alternate interior angles so they're congruent.
m∠S = m∠M
m∠S = 60°
ON and NA are congruent sides.
ON = NA
ON = 75
m∡SNO, m∠S, and m∠O form a triangle so they should add up to 180°
m∡SNO + m∠S + m∠O = 180°
m∡SNO + 60 + 65 = 180
m∡SNO + 125 = 180
Subtract both sides by 125
m∡SNO = 55°
Hope that helped!
A football team won 75% of 60 games in a season. How many games did they win?
Answer:45 games
Step-by-step explanation: 1+1 is 2 so yeah
Answer:
I think its 45 games
Step-by-step explanation:
75% times 60 = 45
*My school in middle school was rushed about math when we learned percent. Like the teachers were talking so fast, sorry if I'm wrong. <--- reason if I'm wrong.
A boat is traveling at a constant speed. In 10 hours, the boat travels 160 miles. How many hours will it take the boat to travel 24 miles?
Answer:
1 hour and 30 minuets
Step-by-step explanation:
i) 5(3x + 2)
ii)3(5x+2)
iii) 15(x+1)
iv) 15(x+5)
v) X(15x+1)
Answer:
i) 15x+10
ii) 15x+6
iii) 15x+15
iv) 15x+75
v)15x^2+x
Step-by-step explanation:
you have to substitute the number outside the brackets to all the variables inside by multiplying.
(^) means power.
A line with a slope of 3 passes
through the points (2, -1) and (4, 5).
Which of the following is not an
equation of the line that passes
through those points?
B. y = 3x-11
A. y+1 = 3(x-2)
D. y-5 = 3(x-4)
C. y = 3x-7
Answer:
We conclude that only the equation y = 3x-11 is not an equation of the line that passes through the points.
Hence, option B is correct.
Step-by-step explanation:
Given the points
(2, -1)(4, 5)Finding the slope between (2, -1) and (4, 5)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(4,\:5\right)[/tex]
[tex]m=\frac{5-\left(-1\right)}{4-2}[/tex]
[tex]m=3[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 3 and the point (2, -1)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-2=3\left(x-\left(-1\right)\right)[/tex]
[tex]y-2=3\left(x+1\right)[/tex]
Add 2 to both sides
[tex]y-2+2=3\left(x+1\right)+2[/tex]
[tex]y=3x+5[/tex]
So, y = 3x+5 is one of the equation lines.
We can also check by substituting the values m = 3 and the point (4, 5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
y - 5 = 3(x-4)
So, y - 5 = 3(x-4) is also one of the equation lines.
Now, let say take the point (4, 5) an substitute in y = 3x-11
y = 3x-11
put x = 4 and y = 5
5 = 3(4)-11
5 = 12-11
5 = 1
FALSE!
Hence, the equation y = 3x-11 does not pass through (4, 5). Thus, the equation y = 3x-11 is not an equation of the line that passes through the points.
Now, let say take the point (4, 5) an substitute in y+1 = 3(x-2)
y+1 = 3(x-2)
put x = 4 and y = 5
5+1 = 3(4-2)
6 = 3(2)
6 = 6
TRUE!
Now, let say take the point (2, -1) an substitute in y+1 = 3(x-2)
-1+1 = 3(2-2)
0 = 0
TRUE!
Thus, the equation y+1 = 3(x-2) is an equation of the line that passes through the points.
Now, let say take the point (2, -1) an substitute in y = 3x-7
y = 3x-7
put x = 2 and y = -1
-1 = 3(2) - 7
-1 = 6-7
-1 = -1
TRUE!
Now, let say take the point (4, 5) an substitute in y = 3x-7
y = 3x-7
put x = 4 and y = 5
5 = 3(4)-7
5 = 12-7
5 = 5
TRUE!
Thus, the equation y = 3x-7 is an equation of the line that passes through the points.
Conclusion:
We conclude that only the equation y = 3x-11 is not an equation of the line that passes through the points.
Hence, option B is correct.
Answer:b
Step-by-step explanation:
Find the vertices of the following functions.
Y=4(x-2)(x-3)
Y=-4(x+2)^2 -5
Find the lowest common multiple (LCM) of the 90 and 150
Answer:
450
Step-by-step explanation:
790 × 150 = 13500
GCF = 30
13500/30 = 450
ABC DEF
AB corresponds to DF.
True
False
it's false
I guess
have a nice day
Please I need an answer FAST
Answer: C) 10cm
Step-by-step explanation:
A house on the market was valued at $212,000. After several years, the value decreased by 7%. By how much did the house's value decrease in dollars? What
is the current value of the house?
Answer:
It decreased by $14,840 and the current value is $197,160