Answer:
15^3
Step-by-step explanation:
Since 15^4 means 15 x 15 x 15 x 15, therefore, just subtract the power 4 from one because you are dividing it by 15:
15^4 / 15 = 15^3
The perimeter of a rectangle is 160 feet. If the length of the rectangle is 28 feet more than the width, what are the dimensions of the rectangle?
Answer:
width = 26 ft
length = 54 ft
Step-by-step explanation:
perimeter = 160 ft
width = x
length = x + 28
Perimeter = 2(width) + 2(length)
[tex]2x + 2(x + 28) = 160 \\ 2x + 2x + 56 = 16 0\\ 4x = 160 - 56 \\ x = \frac{104}{4} \\ x = 26[/tex]
width = x = 26
length = x + 28 = 26 + 28 = 54
0.10( y-7)+0.02y=0.20y-0.4 it has to be an integer or decimal ergent!
9514 1404 393
Answer:
y = -3.75
Step-by-step explanation:
Solving equations with decimal fractions is done the same way as with numbers in any other form. Use your skill with decimal number arithmetic.
0.10(y -7) +0.02y = 0.20y -0.4
0.10y -0.70 +0.02y = 0.20y -0.40
-0.30 +0.12y = 0.20y . . . . . . . . add 0.40 and collect terms
-0.30 = 0.08y . . . . . . . . . . . . . . subtract 0.12y
-0.30/0.08 = y = -3.75 . . . . . . .divide by the coefficient of y
write the first four terms of the arithmetic sequence given a1=-3 and d=-2
Write an equation in slope-intercept form
(y = mx + b) of the line that is
perpendicular to the graph of 4x + 8y = 5
and passes through (3,9).
x - y = 2
x + y = -3
Solve this using elimination
Quickly please!!!!
What is the value of x in the solution to this system of equations ?
Y+2x=-1
Y=(1/2)x+4
Answer:
2×+y=-1
Do you think I'm right???
Angle A and angle B are complementary. If angle A measures 45 degrees, what does angle B measure?
a is 45 degrees and b is 45 degrees
The daily fees for the Fun Town amusement park are
$10 per adult and $5 per child. Yesterday, daily fees
were paid for a adults and c children. Which of the
following expresses the total amount in dollars,
collected for daily fees yesterday?
Answer:did you get the answer???
Step-by-step explanation:
Expression representing total amount collected for the daily fees yesterday will be $(10a + 5c).
Daily fees for the Fun Town amusement Park are,
Adult → $10 eachChild → $5 eachIf there were 'a' adults and 'c' children in the park yesterday,
Total amount to be paid = $(10a + 5c)
Therefore, expression for the total amount collected for daily fees yesterday will be $(10a + 5c).
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Henry's family members choose numbers to assign
chores. The person who draws the highest number is the
first to select a chore. The numbers 1 through 10 are
written on pieces of paper. All numbers are equally likely to
be chosen.
What is the probability that the first person will choose a number greater than
6?
A10
6
B4
10
C6
10
D10
4
Mateo found a sale on skateboards.The skateboard he would like to purchase is 179.99. The sales tax is 6.5%. How much will Mateo spend in all after the discount and tax are applied?
Answer:
$191.69
Step-by-step explanation:
0.065 x 179.99 = 11.70
179.99 +11.70
Meryl needs to cut down 10.5 trees for every 5 cabins she builds.
Complete the table using equivalent ratios.
Number of trees Number of cabins
10.5 5
__ 3
__ 7
Answer:
for seven cabins it should be 14.7 trees, im not sure about 3 cabins, sorry :(
Answer:
3) 6.3
7) 14.7
Step-by-step explanation:
Use ratios to solve the table
10.5/5 = x/3
cross multiply
31.5 = 5x
x = 6.3
10.5/5 = x/7
73.5 = 5x
x = 14.7
(4p-4)+(-7p-7)
I need HELP ON THIS PLEASE FAST!!
Answer:
The correct answer is number 2
-3p - 11
I'm 1000000% sure...
i need help with these questions...
k + 8 ≥ 18
2x + 3 ≤ 13
solve for the variables
please help me i’m so confused
Please help me answer this question. Can you the doc
Answer:
I opened the doc but what's the question..? I only see attendance..
Step-by-step explanation:
the question is:
Jeremy is taking a non- calculator quiz in his algebra 1 class. He decided that the equation below had a value of 1.5. Jeremy has the correct value. EXPLAIN how he found this without the use of his calculator.
the equation: 2^-1+5^0
Answer:
That's very simple 2^–1 is equal to 1/2 and 5^0 is equal to 1. Then add this two. 1/2+1 is equal to 1.5.
plz rate me brainiest
At a basketball game, a team made 58 successful shots. They were a combination of 1- and 2-point shots. The team scored 99 points in all. Write and solve a system of equations to find the number of each type of shot.
Step-by-step explanation:
Step-by-step explanation:
1.Right
2.Left
3.Bottom Middle
2x + 7 =30, x = 3 true or false
Answer:
False
Step-by-step explanation:
2x+7=30
2x=23
X= 23/2 or 11.5
X does not equal 3, therefore the statement is false
Domingo is replacing the baseboards in his home and calculates that he will need 637.5 feet of wood. When he travels to the hardware store, he discovers that baseboards are sold in 7.5-foot lengths. How many boards will Domingo need to purchase?
Answer:
Number of boards= 85
Step-by-step explanation:
Giving the following information:
Total wood required= 637.5 feet of wood
The baseboards are sold in 7.5-foot lengths.
To calculate the number of boards, we need to use the following formula:
Number of boards= total wood required / foot per board
Number of boards= 637.5 / 7.5
Number of boards= 85
Question:
A method of solving systems
of linear equations by______
an expression for a variable and then solving for the other variable is called_______
Answer choices:
•graphing
•substitution
•substituting
•solving
(help me please)
Answer:
substituting & graphing
Step-by-step explanation:
HelP I have to turn this in tomorrow!!!
Answer:
$7.22 per foot squared
Step-by-step explanation:
hope this helps
Answer:
$7.22/ft² (Verified Answer) ✅Step-by-step explanation:
We need the unit rate here. The best way to do this is to write a proportion.
Let x = the $ for 1 ft.
130/18 = x/1
130 = 18x
Divide by 18
x = $7.22
Now, we check to make sure we are correct.
130/18 = 7.22/1
130 = 130 ✅
Identifying Congruent Triangles
Find the measure of The missing angles
The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
For finding m∠1,
Here m∠2 = 90° as per the figure it is the right angle.
m∠1 + 40° + m∠2 = 180°
m∠1 + 40° + 90° = 180°
m∠1 = 50°
For finding m∠3,
m∠2 + m∠3 + 30° = 180°
90° + m∠3 + 30° = 180°
m∠3 = 60°
For finding m∠4 and m∠5
We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°
For finding m∠6 and m∠7
m∠6 + m∠7 + 20° = 180°
60° + m∠7 + 20° = 180°
m∠7 = 100°
Thus, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
Learn more about congruent triangles here:
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The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
For finding m∠1,
Here m∠2 = 90° as per the figure it is the right angle.
m∠1 + 40° + m∠2 = 180°
m∠1 + 40° + 90° = 180°
m∠1 = 50°
For finding m∠3,
m∠2 + m∠3 + 30° = 180°
90° + m∠3 + 30° = 180°
m∠3 = 60°
For finding m∠4 and m∠5
We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°
For finding m∠6 and m∠7
m∠6 + m∠7 + 20° = 180°
60° + m∠7 + 20° = 180°
m∠7 = 100°
Hence, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
Learn more about congruent triangles here:
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12y - 4 what is answer
Answer: 4(3y−1)
Step-by-step explanation:
Answer:
4(3y - 1)
Step-by-step explanation:
To factor this find the greatest common factor of 12y and -4, which would just be 4.
Then, you have 4(3y - 1)
A company sells bottles of vitamin capsules. The graph and table show the linear relationship between the cost per capsule in cents and the number of bottles ordered.
A. y= -5x – 70
B. y= 5x +70
C. y=-5x + 70
D. y= 70x - 5
Answer:
C
Step-by-step explanation:
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Samantha makes a conjecture that the product of two odd integers is always an odd integer. Which choice is the best proof of her conjecture? CLEAR CHECK Look at these different examples: 7 × 3 = 21, 5 × 9 = 45, 11 × 3 = 33. So the product of two odd numbers must be odd. Every time you multiply two odd numbers, the product is an odd number. Let (2a + 1) be an odd number. Let (2b + 1) be another odd number. The product 2(2ab + a + b) + 1 is a multiple of 2 plus 1, which is an odd number. Let a and b both represent odd numbers, and let a × b be an odd number. Therefore, a × b = b × a, which shows that the product of two odd numbers is odd.
Answer:
Let (2a + 1) be an odd number. Let (2b + 1) be another odd number. The product 2(2ab + a + b) + 1 is a multiple of 2 plus 1, which is an odd number.
Step-by-step explanation:
A landscaper needs to fill a path measuring 2 feet by 6 feet with patio stones.
The patio stones are ench 1 foot by 2 feet, so the landscaper calculates that she
will need 6 of them,
Before arranging the patio stones, the landscaper wants to look at all of her
options. She cannot cut or overlap the stones, and they all must fit inside the
path area without any gaps. Two possible arrangements of the stones are shown
below. How many different arrangements are there in total?
Answer:
28
Step-by-step explanation:
You can have 8 1x2 verical in a row,
7 with two horizontals stacked on top of each other.
9 with 4 horizontal tiles,
10 with 6 horizontal tiles,
1 8 horizontal tiles set,
1+7+1+9+10=28
Drew is making a dart board.
The diameter of the dart board is 44 centimeters. What is the approximate circumference? (Use 3.14 for .)
Answer:
138.16 cm
Step-by-step explanation:
Recall that the formula for calculating the circumference is pi times diameter.
Circumference = 44 x 3.14 cm = 138.16 cm.
What is the answer?? Please
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Answer:
not similar
Step-by-step explanation:
"Triangle" DPS cannot exist. Sides DP and DS are not long enough.
__
Side ratios are not the same. In the top triangle, the length ratios are ...
14 : 16 : 19
In the bottom triangle, the length ratios are ...
7 : 8 : 19 (such a triangle cannot exist)
Since the ratios are not the same, the triangles are not similar.
The length of a rectangle is 6 ft longer than its width.
If the perimeter of the rectangle is 68 ft, find its length and width.
Answer:
the length is 23 ft and the width is 11 ft
Step-by-step explanation:
68/4 = 17
17 17 17 17
11 11 23 23
1. Solve this quadratic by factoring
6x^2+7x-5=0
2. Solve this quadratic by factoring x^2+5x-14=0
3. Solve this quadratic using the quadratic formula
3x^2-7x-9=0
4. Solve this quadratic by factoring
X^2-25=0
5. Solve this quadratic by factoring
X^2-6x=0
Please show work.
ANSWER #1:
x = -1.666666667
x = 0.5
STEP-BY-STEP:
Simplifying
6x2 + 7x + -5 = 0
Reorder the terms:
-5 + 7x + 6x2 = 0
Solving for variable 'x'.
(-5 + -3x)(1 + -2x) = 0
SUBPROBLEM 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:
Simplifying
-5 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -3x = 0 + 5
Combine like terms:
0 + -3x = 0 + 5
-3x = 0 + 5
Combine like terms:
-3x = 5
Divide each side by '-3'.
x = -1.666666667
Simplifying
x = -1.666666667
SUBPROBLEM 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:
Simplifying
1 + -2x = 0
Move all x terms to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1
Combine like terms:
0 + -2x = 0 + -1
-2x = 0 + -1
Combine like terms:
-2x = -1
Divide each side by '-2'.
x = 0.5
Simplifying
x = 0.5
ANSWER #2:
x = -7
x = 2
STEP-BY-STEP:
Simplifying
x2 + 5x + -14 = 0
Reorder the terms:
-14 + 5x + x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-7 + -1x)(2 + -1x) = 0
SUBPROBLEM 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:
Simplifying
-7 + -1x = 0
Solving
-7 + -1x = 0
Move all x terms to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7
Combine like terms:
0 + -1x = 0 + 7
-1x = 0 + 7
Combine like terms:
-1x = 7
Divide each side by '-1'.
x = -7
Simplifying
x = -7
SUBPROBLEM 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:
Simplifying
2 + -1x = 0
Solving
2 + -1x = 0
Move all x terms to the left, all other terms to the right.
Add '-2' to each side
2 + -2 + -1x = 0 + -2
Combine like terms:
0 + -1x = 0 + -2
-1x = 0 + -2
Combine like terms:
-1x = -2
Divide each side by '-1'.
x = 2
Simplifying
x = 2
ANSWER #3:
x = 3.25
x = -0.92
STEP-BY-STEP
Simplifying
3x2 + -7x + -9 = 0
Reorder the terms:
-9 + -7x + 3x2 = 0
Solving for variable 'x'.
Divide each side by '3'.
-3 + -2.333333333x + x2 = 0
Add '3' to each side
-3 + -2.333333333x + 3 + x2 = 0 + 3
Reorder the terms:
-3 + 3 + -2.333333333x + x2 = 0 + 3
Combine like terms:
0 + -2.333333333x + x2 = 0 + 3
-2.333333333x + x2 = 0 + 3
Combine like terms:
-2.333333333x + x2 = 3
The x term is -2.333333333x. Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.
Add '1.361111112' to each side
-2.333333333x + 1.361111112 + x2 = 3 + 1.361111112
Reorder the terms:
1.361111112 + -2.333333333x + x2 = 3 + 1.361111112
Combine like terms:
1.361111112 + -2.333333333x + x2 = 4.361111112
Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = 4.361111112
Calculate the square root of the right side: 2.088327348
Break this problem into two subproblems by setting
(x + -1.166666667) equal to 2.088327348 and -2.088327348.
SUBPROBLEM 1
x + -1.166666667 = 2.088327348
Simplifying
x + -1.166666667 = 2.088327348
Reorder the terms:
-1.166666667 + x = 2.088327348
Solving for variable 'x'.
Move all x terms to the left, all other terms to the right.
Add '1.166666667' to each side
Combine like terms:
0.000000000 + x = 2.088327348 + 1.166666667
x = 2.088327348 + 1.166666667
Combine like terms:
2.088327348 + 1.166666667 = 3.254994015
Simplifying
x = 3.254994015
SUBPROBLEM 2
x + -1.166666667 = -2.088327348
Simplifying
x + -1.166666667 = -2.088327348
Reorder the terms:
-1.166666667 + x = -2.088327348
Solving
-1.166666667 + x = -2.088327348
Solving for variable 'x'.
Move all x terms to the left, all other terms to the right.
Add '1.166666667' to each side of the equation.
-1.166666667 + 1.166666667 + x = -2.088327348 + 1.166666667
Combine like terms: -1.166666667 + 1.166666667 = 0.000000000
0.000000000 + x = -2.088327348 + 1.166666667
x = -2.088327348 + 1.166666667
Combine like terms: -2.088327348 + 1.166666667 = -0.921660681
x = -0.921660681
Simplifying
x = -0.921660681
ANSWER #4:
x = -5
x = 5
STEP-BY-STEP:
Simplifying
x2 + -25 = 0
Reorder the terms:
-25 + x2 = 0
Solving
-25 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '25' to each side
-25 + 25 + x2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + x2 = 0 + 25
x2 = 0 + 25
Combine like terms: 0 + 25 = 25
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
