Regroup terms
2q - 7 = 4
Add 7 to both sides
2q = 4 + 7
Simplify 4 + 7 to 11
2q = 11
Divide both sides by 2
q = 11/2
Can someone please help.
The answer is b: 15 m, 20m, 25m
A right triangle has legs measuring 18 inches and 26 inches. What is the length of the hypotenuse
31.6 because a^2+b^3=c^2
Which equation best models the relationship between x and y
Answer:
y = x + x or y+mx+b
Step-by-step explanation:
The first shows the relation in many different problems. But the second is used more for graphs of proportional value. You can use both in either case. But the y=x+x you would substitute the x with real numbers according to the problem.
Mr. broun paid $3.30 in tax on a $55 motel bill. What percent of $55 was the Tax?
Answer:
That would be 6%.
Answer:
6%
Step-by-step explanation:
55(x)= 3.30
3.30/55 = .06
x=.06 which equals 6%
What is 7/5 times 7/8?
Answer:
7/5 time 7/8 is exactly: 2 11/40
Step-by-step explanation:
Hello.
First we need to multiply across.
7 x 7 is 49 so that's our top number.
49
---- 5 x 8 is 40 so that would be our bottom number.
?
You would write it [tex]\fbox{49/40}[/tex].
As a mixed number it would be [tex]\fbox{1 9/40}[/tex] Note that it is not 19 if you read it wrong.
Kaleb used the distributive property to write two equivalent expressions. Use w = 5 and w = 10 to determine if the two expressions are equivalent. 12(w – 3) 12w – 36 When w = 5, both expressions have a value of 24. When w = 10, both expressions have a value of . Therefore, the expressions are equivalent.
When w is 5 both expressions have the same value 24.
When w is 10 both expressions have the same value 84.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Substitute w = 5
12 (w - 3)
= 12 (5 - 3)
= 12 x 2
= 24
And,
12w - 36
= 12 x 5 - 36
= 60 - 36
= 24
Now,
Substitute w = 10
12 (w - 3)
= 12 (10 - 3)
= 12 x 7
= 84
And,
12w - 36
= 12 x 10 - 36
= 120 - 36
= 84
Thus,
When w is 5 both expressions have the same value.
When w is 10 both expressions have the same value.
Learn more about expressions here:
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When [tex]\( w = 10 \),[/tex]both expressions have a value of 84, and the expressions are indeed equivalent.
To determine if the two expressions [tex]\(12(w - 3)\) and \(12w - 36\)[/tex] are equivalent, we can evaluate both expressions for the given values of [tex]\(w\).[/tex]
When [tex]\(w = 5\),[/tex]we substitute [tex]\(5\)[/tex]into both expressions:
For the expression [tex]\(12(w - 3)\):[/tex]
[tex]\[12(5 - 3) = 12(2) = 24\][/tex]
For the expression [tex]\(12w - 36\):[/tex]
[tex]\[12(5) - 36 = 60 - 36 = 24\][/tex]
Both expressions evaluate to [tex]\(24\) when \(w = 5\).[/tex]
Now, let's evaluate both expressions when [tex]\(w = 10\):[/tex]
For the expression [tex]\(12(w - 3)\):[/tex]
[tex]\[12(10 - 3) = 12(7) = 84\][/tex]
For the expression [tex]\(12w - 36\):[/tex]
[tex]\[12(10) - 36 = 120 - 36 = 84\][/tex]
Since the values of both expressions are the same for [tex]\( w = 5 \) and \( w = 10 \),[/tex]we can conclude that the expressions are equivalent.
what is the name of line segment an on the circle below
Answer:
C
Step-by-step explanation:
Let's break down the definitions.
diameter = a line across the circle that crosses the center
radius = a line from the center of the circle to any edge
chord = a line with both endpoints on the edge of the circle
arc = the outside part of the circle
Since this line has both endpoints on the edge of the circle and does not cross the center, the line is a chord.
Write 33% as a fraction in simplest form
Answer: the answer to 33% is around 1/3
Step-by-step explanation:
Answer:
33/100
Step-by-step explanation:
There is no way to simplify
what is the general form of the equation of a circle with its Center at -2 1 and passing through -4 one
Answer:
[tex]\large\boxed{x^2+y^2+4x-2y+1=0}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
The general form of an equation of a circle:
[tex]x^2+y^2+Dx+Ey+F=0[/tex]
We have the center (-2, 1). Substitute to the equation in the standard form:
[tex](x-(-2))^2+(y-1)^2=r^2\\\\(x+2)^2+(y-1)^2=r^2[/tex]
Put thr coordinates of the point (-4, 1) to the equation and calculate a radius:
[tex](-4+2)^2+(1-1)^2=r^2\\\\r^2=(-2)^2+0^2\\\\r^2=4[/tex]
Therefore we have the equation:
[tex](x+2)^2+(y-1)^2=4[/tex]
Convert to the general form.
Use [tex](a\pm b)^2=a^2\pm 2ab+b^2[/tex]
[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\qquad\text{subtract 4 from both sides}\\\\x^2+y^2+4x-2y+1=0[/tex]
What is the third quartile of this data set? *I NEED THE HELP ASAP* thx
I think the answer is 44
Which expression represents the number of coins Sarah has.
Sarah has 16 coins, but spends some of them during the day.
A. C - 16
B. 16c
C. 16 - c
D. 16 + c
This answer gone be c.16-c
Answer:
is it 16 c or not
Step-by-step explanation:
The jacket is on sale for $36 which Is 80% of the original cost. What is the original price of the jacket?
Answer:
45
Step-by-step explanation:
percent x whole = part
80%w = 36
.8w=36
divide .8 by both sides
w=45
Lines
AB
and
AC
tangent to circle k(O) at B and C respectively. Find BC, if m∠OAB=30°, and AB=5 cm.
Answer:
5 cm
Step-by-step explanation:
If AB is tangent to the circle k(O), then radius OB is perpendicular to segment AB.
If BC is tangent to the circle k(O), then radius OC is perpendicular to segment AC.
Consider two right triangles ABO and ACO. In these triangles:
AO is common hypotenuse;∠OBA=∠OCA=90°, because AB⊥OB, AC⊥OC;OB=OC as radii of the circle k(O).By HL theorem, triangles ABO and ACO are congruent. Then
∠OAB=∠OAC=30°;AC=AB=5 cm.Hence, ∠BAC=∠OAB+∠OAC=30°+30°=60°.
Consider triangle ABC, this triangle is isosceles triangle. In isosceles triangles angles adjacent to the base are congruent, thus
∠CBA=∠BCA=1/2(180°-60°)=60°.
Therefore, triangle ABC is an equilateral triangle, so BC=AB=AC=5 cm.
Put in 39.6 <,> or = 39.61
Answer: 39.6<39.61
Step-by-step explanation: 39.6 is equal to 39.60 and 60 is greater than 1.
Answer:
39.6 is less than 39.61
Step-by-step explanation:
Examine the linear equation. 8x – y = –6 Choose the slope-intercept form of the equivalent equation:
Step-by-step explanation:
The slope-intercept form can be obtained by solving for y.
8x-y=-6
-8x
-y=-8x-6
divide by negative 1 to turn y positive.
y=8x+6
Answer:
y=8x+6
Step-by-step explanation:
just took the prac. on edge
Is 2.924017738 a rational number
So Not A rational Number
I think :)
Good Luck:)))
A very small town has only five residents with the following incomes (all in thousands): $33, $24, $22, $45, $99. Find the median income.
Answer:$33,000
Step-by-step explanation:
Answer:
a.33,000
Step-by-step explanation:
How do I find the median for 77,82,87,85,32,78?
Answer:
80
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order. If there is no exact middle then the median is the average of the 2 values either side of the middle
Arrange the data in ascending order ( smallest to largest )
32, 77, 78, 82, 85, 87
There is no value exactly in the middle, use the average
median = [tex]\frac{78+82}{2}[/tex] = [tex]\frac{160}{2}[/tex] = 80
if a clothing sale marks items 85% off, what is the numerator of the fraction which represents this discount (assume the denominator is 100)?
Answer:
85/100
Step-by-step explanation:
Plz help me!!!!!!!!!!
Answer: [tex]b)\quad \dfrac{4x^6z^4}{9y^4}[/tex]
Step-by-step explanation:
[tex].\quad \dfrac{16x^{4}y^{-3}z^{4}}{36x^{-2}y^{1}z^0}\\\\\\=\dfrac{4(4)\cdot x^{4+2}\cdot y^{-3+3}\cdot z^{4}}{4(9)\cdot x^{-2+2}\cdot y^{1+3}\cdot 1}\\\\\\=\dfrac{4x^6z^4}{9y^4}[/tex]
Given h(f)=-2(t+5)^2 +4, find h(-8)
Answer:
h(-8) = 22
Step-by-step explanation:
Plug -8 in for t and simplify...
h(-8) = 2(-8 + 5)² + 4
h(-8) = 2(-3)² + 4
h(-8) = 2(9) + 4
h(-8) = 18 + 4
h(-8) = 22
Answer:
Step-by-step explanation:
Given h(f)=-2(t+5)^2 +4
There is an intermediate step which is
h(f) = -2(f + 5)^2 + 4
h(-8) = -2(-8 + 5)^2 + 4
h(-8) = -2(-3)^2 + 4
h(-8) = -2(9) + 4
h(-8) = -18 + 4
h(-8) = - 14
What is the pattern in the values as the exponents increase?
Answer:
Multiply the previous value by 2
Step-by-step explanation:
As the exponents increase,
(that is, they go from negative to positive)
-5,-4,-3,-2, -1,0
------------------------>
We see that each previous value is multiplied by a factor of 2
We can see the graph of the values in the picture below
Which relationship describes angles 1 and 2?
complementary angles
adjacent angles
vertical angles
linear pair
Two parallel horizontal lines intersected by a vertical line with a square indicating a right angle in quadrant one of the top line and a one labeling the angle in quadrant two and two labeling quadrant four of the top line
Answer:
Step-by-step explanation:
1 and 2 are vertical angles
X^2 +x -4=O solve using the Quadratic formula. First what are the valubes of a,b,c?
A=1 B=1 C=-4 , you look at the numbers in order ! X is always going to be a 1.
Plz help me!!!!!!!!!
[tex]\sqrt[3]{x^2y^2} = (x^2y^2)^{\frac 1 3} = x^{\frac 2 3}y ^{\frac 2 3}[/tex]
Answer: [tex]\bold{x^{\frac{2}{3}}y^{\frac{2}{3}}}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{x^2y^2}=\sqrt[3]{(xy)^2}=(xy)^{\frac{2}{3}}=x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]
Emily is making bracelets for herself and 6 of her friends she needs 1/5 of a yard of string to make each bracelet. How much string will Emily need to make all of the bracelets?
10 feet of string to make all the bracelets.
4400 dollars is placed in an account with an annual interest rate of 8.25%.how much will be in the account after 22 years, to the nearest cent?
Final answer:
To find out how much will be in the account after 22 years with an annual interest rate of 8.25%, the compound interest formula [tex]A = P(1 + r/n)^{nt}[/tex] is used, resulting in approximately $21739.63.
Explanation:
To calculate how much money will be in the account after 22 years with an annual interest rate of 8.25%, we will use the compound interest formula:
[tex]A = P(1 + r/n)^{nt}[/tex]
Where:
A is the amount of money accumulated after n years, including interest.
P is the principal amount (the initial amount of money).
r is the annual interest rate (decimal).
n is the number of times that interest is compounded per year.
t is the time the money is invested for, in years.
In this case:
P = $4400
r = 8.25% or 0.0825
n = 1 (since it's compounded annually)
t = 22 years
We plug these values into the compound interest formula:
[tex]A = 4400(1 + 0.0825/1)^{1*22}[/tex]
After calculating:
[tex]A = 4400(1 + 0.0825)^{22}[/tex]
[tex]A = 4400(1.0825)^{22}[/tex]
A comes out to approximately $21739.63, which is the total amount in the account to the nearest cent after 22 years.
Please help I will give brainliest please show work and find the volume of this odd looking pyramid
Answer:
206 2/3 ft³
Step-by-step explanation:
The volume of this solid is given by V = (1/3)(base area)(height).
Here, V = (1/3) (62 ft²) (10 ft ) = 206 2/3 ft³
HELP AND PLZZZ EXPLAIN!
18 + 3 |6 - 25| - 11
WHAT WOULD BE THE AMSWER?
Simplify 6 - 25 to -19
18 + 3| -19 | - 11
Simplify | -19 | to 19
18 + 3 × 19 - 11
Simplify 3 × 19 to 57
18 + 57 - 11
Simplify
= 64
Find the midpoint between −18 and 52.