Answer:
3 to the 7th power (7 is the exponent)
Step-by-step explanation:
have a wonderful
2 Fill in the boxes to find the resulting equation when 25 is subtracted from
each side. Simplify both sides of the equation,
25 +2=
25
31
25
Solve it
Given:
The equation is
[tex]25+x=31[/tex]
25 is subtracted from both sides.
To find:
The missing values for the given blanks.
Solution:
We have,
[tex]25+x=31[/tex]
If 25 is subtracted from both sides, we get
[tex]25+x-25=31-25[/tex]
[tex](25-25)+x=6[/tex]
[tex]0+x=6[/tex]
So, the missing values for the blanks are 0 and 6 respectively.
It is also written as
25 + x = 31
-25 -25
-----------------------------
0 + x = 6
------------------------------
Therefore, the missing values for the blanks are 0 and 6 respectively.
Can someone guide me through this progress?
Suppose you plan to sell five trading cards. Three of the cards
will be shipped domestically, and two will be shipped
internationally. The cost of international shipping is $2.50
greater than the cost of domestic shipping.
Write About It!
If you spent $22.50 on shipping, how much is the cost of
domestic shipping? Define a variable, write an equation,
and solve the problem.
Answer: $3.50
Step-by-step explanation:
Let the cost of domestic shipping be x.
Since the cost of international shipping is $2.50 greater than the cost of domestic shipping. This will be:
= x + 2.50
Since we are further told that three of the cards will be shipped domestically, and two will be shipped internationally and that $22.50 will be spent on shipping, this will be express in an equation as:
3x + 2(x + 2.50) = 22.50
3x + 2x + 5.00 = 22.50
5x = 22.50 - 5.00
5x = 17.50
x = 17.50/5
x = $3.50
The cost if domestic shipping is $3.50
The shorter leg of a right triangle is 9 ft shorter than the longer leg. The hypotenuse is 9 ft longer than the long leg. Find the sides of the triangle
Answer and Step-by-step explanation:
|\
| \
| \
| \
| \
| \ 9 + x
x - 9 | \
| \
| \
| \
| \
|_____________\
x
That is your triangle.
Now, since its a right triangle, we can use the Pythagorean theorem to solve for x.
The equation for the Pythagorean theorem is this: [tex]A^{2} + B^{2} = C^{2}[/tex]
So we plug in the values.
[tex](x^{2} ) + (x-9)^{2} = (x + 9)^{2}[/tex]
We solve for x.
[tex]x^{2} + x^{2} -18x + 81 = x^{2} + 18x + 81[/tex]
Get everything to the left side of the equation. (x^2 + x^2 = 2x^2, - x^2 = x^2;
-18x - 18x = -36x; 81 - 81 = 0)
[tex]x^{2} -36x = 0[/tex]
Add 36x to both sides, then divide by x.
[tex]x^{2} = 36x\\\\x = 36[/tex]
Shortest Leg = 36 - 9 = 27
Longest Leg = 36
Hypotenuse = 45
#teamtrees #WAP (Water And Plant)
Find the perimeter of lsosceles triangle ABC (below) if mAD = 3 and m < BAC = 55 degrees. Round to the nearest hundredth.
Answer:
r
Step-by-step explanation:
Use the distributive property to create an equivalent expression for -6(7t - 4). Make sure you answer is in the form shown below
Answer:
-42t + 24
Step-by-step explanation:
-6(7t-4)= -42t + 24
-6 x 7t = -42t
-6 x -4 = +4
How do you do these questions?
Answer:
a) - 7 dollars
b) 24.30 dollars
c) - 5 dollars
Step-by-step explanation:
b) 27 / 10%
Divide 27 by 10/100 by multiplying 27 by the reciprocal of 10/100.
27 x 100/10
Multiply 27 and 100 to get 2700.
2700/10
Divide 2700 by 10 to get 270.
270
Divide 270 by 100 to get 2.7
Subtract 27.00 - 2.7 = 24.30
24.30
How can I solve this problem?
What is unknown number in proportion?
Answer:
x = 2.4/20= 0.12
Step-by-step explanation:
Multiply both sides by 4 to eliminate the fraction 1/4:
1 20
--- = ------
x 2.4
Next, we cross-multiply. This eliminates the fractions:
20x = 2.4
Dividing both sides by 20 results in an equation for x: x = 2.4/20= 0.12
find the slope of the line passing through the points (-9,5) and (-1,5)
Slope = change in Y / change in x:
Slope = (5- 5) / (-1 - -9)
Slope = 0/8
Because the change in Y = 0, the slope = 0
Slope = 0
Answer:
0
Step-by-step explanation:
(-9,5) and (-1,5)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(5 - 5) / (-1 - 9)
Simplify the parentheses.
= (0 ) / (-10)
Simplify the fraction.
0/-10
= 0
This is your slope.
This is also a horizontal line, which will have a slope of 0.
A number is _____ by another number if the quotient is a counting number and the remainder is zero.
Answer:
56888
Step-by-step explanation:
guy is unavailable right now because this video is not available
rewrite a^5 x a^-3 in the form a^n
Answer:
The answer is A^2
Step-by-step explanation:
When you are dividing, You subtract exponents if they have the same base.
The base (variables) are the same. So you subtract the powers.
Which are 5 and -3. You subtract those two powers 5 minus negative -3 which gives you 2. So it's a^-2
Sorry for the long explanation I hope you understand it. And if I made it harder to understand the answer sorry oops have a good day and stay safe ;D.
4. Tisha has two bags of marbles like the ones
shown below.
Bag 1
Bag 2
Blue
Blue
Yellow
Red
Blue
Blue
Rod
Blue
Yellow
Red
Tisha will randomly select 1 marble from each
bag. What is the probability that Tisha will select
a blue marble from each bag?
Answer:
A. 0.25
B. 0.5
C. 0.6
D. 0.1
Please help
Answer:
0.25
Step-by-step explanation:
Bag 1 :
Number of marbles = 6
Number of Blue marbles = 3
Bag 2:
Number of marbles = 4
Number of Blue marbles = 2
Recall :
Probability = required outcome / Total possible outcomes
For Bag 1:
P(blue) = Number of Blue marbles / total marbles
P(blue) = 3 / 6 = 1/ 2
For Bag 2:
P(blue) = Number of Blue marbles / total marbles
P(blue) = 2 / 4 = 1/ 2
Probability of a picking a blue marble from each bag :
1/2 * 1/2 = 1/4 = 0.25
PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.
Answer:
-35 i think
Step-by-step explanation:
hope dis helps
The product of a real number and another real number that is 6 less than the first equals 6. What are the numbers?
Answer:
[tex]3+\sqrt{15} \\3-\sqrt{15}\\[/tex]
Step-by-step explanation:
if ax=6 and a = x-6...
x(x-6) = 6
Completing the square is a process such that [tex](x^2+2bx)=(x+b)^2-b^2[/tex]
Explain how to calculate a number that is equal to 2.1/1.5.
Answer:
1.4
Step-by-step explanation:
Given the expression 2.1/1.5.
This can also be expresses as;
2.1/1.5
= 21/10 ÷ 15/10
= 21/10 × 10/15
= 21/15
= 7/5
= 1.4
Hence the result is 1.4
The population of a town is increasing by 2% each year. The current population is 12,000. How many people will there be in 4 years?
Answer:
12989 people
Step-by-step explanation:
f(x)=a(1+r)^x
a= the amount you start with
r=is the rate that it is growing
x= time intervals
12000(1+0.02)^4=12989
Mid-Mod 3 Review
Name
1 Lisa used 5 orange juice containers, From the fust container, she poured out gallon of
orange juice. She then poured out 'h gallon from each of the four remaining containers,
a. How much orange juice did Lisa pour out in all? Show and label all your work.
1. 2x-y=0
X+3y=-14
2. Write the equation of the line in slope intercept form that goes through the point (7,2) and has a slope of 4.
3. 4-5x+3=4x-2
Show steps, thx:)
Answer:
(1) [tex](x,y) = (-2,-4)[/tex]
(2) [tex]y = 4x -26[/tex]
(3) [tex]x = 1[/tex]
Step-by-step explanation:
(1):
[tex]2x - y = 0[/tex]
[tex]x + 3y = -14[/tex]
Required: Solve for x and y
Make x the subject in [tex]x + 3y = -14[/tex]
[tex]x = -3y - 14[/tex]
Substitute -3y - 14 for x in the first equation
[tex]2x - y = 0[/tex]
[tex]2(-3y-14) - y = 0[/tex]
Open bracket
[tex]-6y - 28 - y = 0[/tex]
Collect Like Terms
[tex]- y-6y = 28[/tex]
[tex]-7y = 28[/tex]
Divide both sides by -7
[tex]y = -4[/tex]
Substitute -4 for y in [tex]2x - y = 0[/tex]
[tex]2x - (-4) = 0[/tex]
[tex]2x + 4 = 0[/tex]
Collect Like Terms
[tex]2x = -4[/tex]
Divide by 2
[tex]x = -2[/tex]
Hence, the solution is:
[tex](x,y) = (-2,-4)[/tex]
(2):
[tex](x_1,y_1) = (7,2)[/tex] -- points
[tex]m = 4[/tex] --- slope
Required: Determine the line equation
This is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 4(x - 7) + 2[/tex]
Open bracket
[tex]y = 4x - 28 + 2[/tex]
[tex]y = 4x -26[/tex]
(3)
[tex]4 - 5x + 3 = 4x - 2[/tex]
Required: Solve for x
Collect Like Terms
[tex]- 5x -4x = - 2-3-4[/tex]
[tex]-9x = -9[/tex]
Divide both sides by -9
[tex]x = 1[/tex]
In triangle ABC, the size of angle B is 4 times the size of angle A, and the size of
angle C is 1° less than 5 times the size of angle A.
Find the size of the angles.
Answer:
A=18.1, B=72.4, and C=89.5
Step-by-step explanation:
Where A, B and C represent their respective angles:
We are given that:
B=4A
C=5A−1
And since ABC make up a triangle, we know that:
A+B+C=180
Since we have three variables and three equations, we can solve for A, B, and C. To solve for A:
Take the equations B=4A and C=5A−1, and plug B and C into the last equation:
A+B+C=180
A+4A+5A−1=180
10A – 1 + 1 = 180 + 1
10A=181
10 /10 x A = 181/10
A = 18.1
Then we can plug this value into the first two equations to solve for B and C:
B=4A
B=4(18.1)=72.4
C=5A−1
C=5(18.1)−1= 90.5 - 1=89.5
So A=18.1, B=72.4, and C=89.5
Hope this helps!
The size of ∠A is 18.1°.
The size of ∠B is 72.4°.
The size of ∠C is 89.5°.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Triangle ABC
∠A = x
∠B = 4x
∠C = 5x - 1
Now,
The sum of all the angles in a triangle is 180.
This means,
x + 4x + 5x - 1 = 180
10x - 1 = 180
10x = 181
x = 18.1
Now,
∠A = 18.1°
∠B = 4 x 18.1 = 72.4°
∠C = 5 x 18.1 - 1 = 89.5°
Thus,
The sizes of the angles are:
18.1°, 72.4°, and 89.5°
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
Ignoring leap days, the days of the year can be numbered 1 to 365. Assume that birthdays are equally likely to fall on any day of the year. Consider a group of 10 people, of which you are not a member. The sample space consists of all possible sequences of 10 birthdays (onefor each person).
a. Define the probability function P for S.
b. Consider the following events:
1. "someone in the group shares your birthday";
2. "some two people in the group share a birthday";
3. "some three people in the group share a birthday". Carefully describe the subset of S that corresponds to each event.
c. Find an exact formula for P(A). What is the smallest m such that P(A) > .5?
d. Justify why m is greater than 365 without doing any computation. (We 3 are looking for 2 a short answer giving a heuristic sense of why this is so.)
e. Find an exact formula for P(B).
Answer:
Follows are the solution to the given question:
Step-by-step explanation:
They can count the days of the year 1 to 365. The random project consists of drawing a sample of n objects from D where elements are n people's birth in a group but instead, D = {1,....365}. And then there's the issue.
[tex]S=365^n[/tex]
This because the list of future birthdays of n people was its test point; therefore m points will be in the sequence so each point contains 365 distinct outcomes. The probability function P for \Omega is that any event is likely to happen in 365 days.
[tex]P(x)=\frac{1}{365^{n}}[/tex]
if x is between 1 and 365 as well as the occurrence is just all similarly possible
In point i:
That somebody mentions their birthday throughout the party
Guess I was born on day b. Therefore the consequence of "x is in A" is "b is now in the series of x," which is to say, b = bk for some amount k approximately 1 and n.
In point ii:
Any 2 persons share the same birthday at this party". A result x is in B" means which "two of entries in x are same." This means that perhaps the outcome x is in B if or only if bj = bk is in B of two numbers j, and k of 1, of two. , no, n.
In point iii:
Many three students share the same birthday with both the party. The consequence is x at the level of C only when bj = bk = bl at three (different) indices, j, k, l, 1. , no, n.
How many ways can the teacher choose a group of 5 students to present on the first day if Marjorie must present on the first day?
Answer:
126
Step-by-step explanation:
Help 20 points + brainiest answer
[tex]3 \frac{1}{2} + 2 \frac{1}{4} - 1 \frac{1}{2} [/tex]
Answer:
Step-by-step explanation:
Step 1: Convert into improper fractions
Step 2: Find least common denominator and find equivalent fractions
Step 3 : Do the required operation
[tex]3\frac{1}{2}+2\frac{1}{4}-1\frac{1}{2}=\frac{7}{2}+\frac{9}{4}-\frac{3}{2}\\[/tex]
Least common denominator of 2 , 4 = 4
[tex]=\frac{7*2}{2*2}+\frac{9}{4}-\frac{3*2}{2*2}\\\\=\frac{14}{4}+\frac{9}{4}-\frac{6}{4}\\\\=\frac{14+9-6}{4}\\\\=\frac{17}{4}\\\\=4\frac{1}{4}[/tex]
How can you isolate the variable in x-3 = 7
Answer:
x = 10
Step-by-step explanation:
To isolate the variable (x) you would first write out x - 3 = 7. Now to make x on its own we have to get rid of the -3 so to do that we would add the reciprocal of -3 (or the opposite) which is +3. x - 3 + 3 = 7 + 3 or x = 10.
Please help with my question
Simplify 8w+3-2w=11(-4w+2)
Answer:
w = 2.63157894736
Step-by-step explanation:
8w+3-2w=11(-4w+2) | Given
6w + 3 = -44w + 22 | Combine like terms & distribute
50w + 3 = 22 | Add 44w to both sides
50w = 19 | Subtract 3 from both sides (simplified)
w = 2.63157894736 | Divide both sides by 50 (value of w)
-3(4s-1)-3=-3(6s+6)-3
Answer:
I think its 6 not sure
Step-by-step explanation:
solve d+7=13 please!!!
Answer:
d=6
Step-by-step explanation:
d+7=13
-7 -7
-----------
d=6
Answer:
hi
Step-by-step explanation:
[tex]d + 7 = 13 \\ d = 13 - 7 \\ d = 6[/tex]
have a nice day bye
SOMEONE JUSt please HELP ME HELP ME PLEASE ITS URGENT
Answer:pretty sure it’s both 35°
Step-by-step explanation: