Answer:
7 and 11
Step-by-step explanation:
Let the two numbers be x and y
x+y = 18
x-y = 4
Add the two equations together to eliminate y
x+y = 18
x-y = 4
----------------
2x +0y = 22
Divide each side by 2
2x/2 = 22/2
x = 11
Solve for y
x+y = 18
11+y =18
Subtract 11 from each side
11+y-11 =18-11
y = 7
The two numbers are 7 and 11
a = pt + q
p = −1, t = 4 and q = 6
Work out the value of a.
Answer:
2
Step-by-step explanation:
a = (-1 x 4) + 6
a = -4 + 6
a = 2
There were 220 people who voted at the 6th grade meeting. Sixty percent of the voters are in favor of changing the school mascot. How many people are against changing the mascot? Use numbers and words to explain your answer.
Step-by-step explanation:
First I had to find 60% of 220.
220 × .60 = 132.
132 people are in favor so I have to subtract that number from 220 to find how many people were against.
220-132 = 88
88 people were against changing the mascot.
Which expression represents a factorization of 32m + 56mp?
A 8(4m + 7p)
B 8(4 + 7)mp
C 8p(4 + 7m)
D 8m(4 + 7p)
Answer:
D 8m(4 + 7p)
Step-by-step explanation:
The GCF of 32 and 56 is 8.
m and mp have m in common, so you can factor out 8m.
32m + 56mp = 8m(4 + 7p)
Answer: D 8m(4 + 7p)
Answer: D, 8m(4+7p)
Step-by-step explanation:
8m times 4=32m
8m times 7p=56mp
7n +2 –(2n +7) pls help I will give you 15 points
Answer:
5n -5
Step-by-step explanation:
7n +2 –(2n +7)
7n +2 -2n -7
5n -5
PLEASE HELP MEEEEEE I AM SOOOOOOOOOOOO CONFUZED
Calculate the area of the irregular polygon shown below:
24 square inches
44 square inches
54 square inches
84 square inches
HELP PLEASE FOR BOTH QUESTIONS
Answer:
6) x^2+6x+8
7) x^2+3x-10
Step-by-step explanation:
Nicholas uses a coordinate system with units of feet to keep track of any items he finds with his metal detector. One day he found a ring at (-2, -6) and a coin at (7, 6). How far apart were the ring and the coin?
Answer: The distance between the ring and the coin = 15 units.
Step-by-step explanation:
Distance between two points (a,b) and (c,d) is given by :-
[tex]D=\sqrt{(c-a)^2+(d-b)^2}[/tex]
Location of rine = (-2,-6)
Location of the coin = (7,6)
Then, the distance between the ring and the coin [tex]=\sqrt{(6-(-6))^2+(7-(-2))^2}[/tex]
[tex]=\sqrt{(12)^2+(9)^2}\\\\=\sqrt{144+81}\\\\=\sqrt{225}=15[/tex]
Hence, the distance between the ring and the coin = 15 units.
Please guys help me. I will give you the brainliest. Answer what you know
Answer:
number 3 is B and number 4 is C
Step-by-step explanation:
7n-1
the 5th term of the sequence 4n+1
In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. A pair of shoes costs $29.99 and a shirt costs $15.99. Rounded to the nearest cent, how much more is the tax on the shoes than the shirt?
Answer:
$1.19Step-by-step explanation:
The tax is 8 1/2% = 8.5%A pair of shoes = $29.99 A shirt = $15.99The difference in the cost:
$29.99 - $15.99 = $14Tax on the difference:
$14*0.085 = $1.19to make pink paint, sylvia mixes 7 cups of white paint to every 3 cups of red paint. which table shows possible values of w, the number of cups of white paint sylvia uses, and r, the number of cups of red paint?
Answer: A
Step-by-step explanation:
For every 3 cups she need 7 cups of white paint.
answer a displays that with 3*2=6 and 7*2=14
Answer:
A
Step-by-step explanation:
I did the math
Find the value of each variable.
Answer:
the third option
Step-by-step explanation:
x= 13
[tex] {y}^{2} = {13}^{2} + {13}^{2} \\ {y}^{2} = 338 \\ y = \sqrt{338} = 18.38 = 13 \sqrt{2} [/tex]
Given Angle 1 = Angle 2, find X.
X =
Answer:x=6
Step-by-step explanation:
For his long distance phone service, Miguel pays a $3 monthly fee plus 11 cents per minute. Last month, Miguel's long distance bill was $14.22 . For how many minutes was Miguel billed?
Answer: B=3+.11m
18.73=3+.11m
-3 -3
15.73=.11m
143=m
Step-by-step explanation:
4n+1=25
Please help with an explanation
Answer:
n = 6
Step-by-step explanation:
To isolate n, subtract 1 from both sides:
4n + 1 = 25
4n = 24
Then divide by 4 on both sides:
4n = 24
n = 6
Hope this helped :)
Answer:
6
Step-by-step explanation:
4n+1= 25
or,4n= 25- 1
or,4n=24
or,n=24/4
so n= 6
Creating a password with two letters followed by two one-digit numbers. (Find the total number of outcomes that are possible)
Answer:
67,600 possible outcomes
Step-by-step explanation:
In total, it's a four digit password.
For the first digit, which is a letter, there are 26 possibilities. The same goes for the second digit, so first multiply 26 x 26 (because that's the number of possibilities for the first two digits alone).
! if the letters have to be different then it would be 26 x 25 because there's one less letter for the second digit.
Next, 2 one digit numbers. There are 10 individual digits: 0,1,2,3,4,5,6,7,8,9, so after 26 x 26 x 10 x 10 for the total number of possibilities. If the numbers have to be different (and the letters too) then it'd be 26 x 25 x 10 x 9
so 26 x 26 x 10 x 10 = 67,600
hope this helps!
use elimination to solve and please show ur work.
4x + 3y = 6
2x - y = -2
Answer:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
(0,2)
Equation Form:x=0, y=2
Answer:
(0,2)
Step-by-step explanation:
Multiply each equation by the value that makes the coefficients of y opposite.
3*2x-y=3*-2
Simplify
6x-3y=-6
Add the two equations
10x = 0
Divide both by 10 and simplify
x=0
Substitute x into the equations.
4*0+3y=6
3y=6
2
y=2
Identify the correct explanation for why the triangles are similar. Then find OP and MN.
Options:
A. ∠M≅∠N. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Alt. Int. ∠s Thm. Therefore, △LOP∼△LMNby AA∼. OP=8 and MN=4.
B. ∠L≅∠L by the Reflex Prop. of ≅. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Corr. ∠s Post. Therefore, △LOP∼△LMNby AA∼. OP=2 and MN=6.
C. ∠L≅∠L by the Reflex Prop. of ≅. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Corr. ∠s Post. Therefore, △LOP∼△LMNby AA∼. OP=4 and MN=8.
D. ∠M≅∠N. Since OP¯¯¯¯¯∥MN¯¯¯¯¯¯¯, ∠LOP≅∠LMN by the Alt. Int. ∠s Thm. Therefore, △LOP∼△LMNby AA∼. OP=2 and MN=6.
Answer:
The correct explanation is option B;
B. ∠L ≅ ∠L By Reflexive Prop. ≅.
Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6
Step-by-step explanation:
The given parameters are;
[tex]\overline {LP}[/tex] = 5
[tex]\overline {NP}[/tex] = 10
[tex]\overline {LN}[/tex] = [tex]\overline {LP}[/tex] + [tex]\overline {NP}[/tex] = 15
[tex]\overline {OP}[/tex] = x - 3
[tex]\overline {MN}[/tex] = x + 1
A two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
∠L ≅ ∠L [tex]{}[/tex] By Reflexive property of congruency
[tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex] [tex]{}[/tex] Given
∠LOP ≅ ∠LMN [tex]{}[/tex] By the Corresponding angles Postulate
Therefore
ΔLOP ~ ΔLMN [tex]{}[/tex] By AA similarity Postulate
Where we have that ΔLOP and ΔLMN, we get;
[tex]\overline {OP}[/tex]/[tex]\overline {MN}[/tex] = [tex]\overline {LP}[/tex]/[tex]\overline {LN}[/tex] = 5/15 = 1/3
∴ (x - 3)/(x + 1) = 1/3
3·(x - 3) = 1·(x + 1)
3·x - 9 = x + 1
3·x - x = 1 + 9 = 10
2·x = 10
x = 10/2 = 5
x = 5
[tex]\overline {OP}[/tex] = (x - 3) = 5 - 3 = 2
[tex]\overline {OP}[/tex] = 2
[tex]\overline {MN}[/tex] = x + 1 = 5 + 1 = 6
[tex]\overline {MN}[/tex] = 6
Therefore, the correct option is ∠L ≅ ∠L By Reflexive Prop. ≅.
Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.
Can somebody help me please
Answer:
I believe it’s 65
Step-by-step explanation:
Not fully sure
F(x) = x + 4
A. F(7)=3
B. F(3)=12
C. F(3)=7
Which one is correct and how do you solve it step by step?
Answer:
C. F(3) = 7
Step-by-step explanation:
You have to to substitute the value of the function into each equation.
So...
A. 7+4 does not equal 7
B. 3+4 does not equal 3
C. 3+4 DOES equal 7
Answer:
C
Step-by-step explanation:
On her first three geometry test, Sarah scored 89, 93, and 84. If there are four tests total and Sarah needs at least a 90 average for the first four test, what is the lowest score she can receive on the final test?
86
94
92
90
95
Answer:
94
Step-by-step explanation:
If you add them all together, you get 266. You subtract that from 90*4= 360
you get 94
Please help me!! I will give you brainleist!! Thank you!! ❤✨
Answer:
The second option is correct.
Step-by-step explanation:
First you need to find a common denominator in which is 6
You can find it like this:
1 x 3 = 3
2 x 3 = 6
3/6 is the amount of cake that was left
Now do the same thing for the amount of cake that Elisa ate.
1 x 2 = 3
3 x 2 = 6
So in conclusion the second option represents the amount of cake Elisa eats the best.
I hope this is as helpful as possible.
Answer:
Model:
2/3 (original amount of cake) - 1/3 (what was left) = 1/3 (what Elisa ate)
Math:
2/3 - 1/3 = 1/3
Calculation:
2/3 - 1/3 = (2 - 1) / 3
= 1 / 3
Explanation:
To calculate the fraction of the cake Elisa ate, we need to subtract 1/3 from 2/3. First, we need to find a common denominator for both fractions. In this case, the common denominator is 3. Then, we need to subtract the numerator of the second fraction, which is 1, from the numerator of the first fraction, which is 2. The difference is 1, which is the numerator of the fraction that represents the amount of cake Elisa ate. The denominator is 3, so the fraction that represents the amount of cake Elisa ate is 1/3.
. The total area of a rectangular mural has been extended by x feet. The expression to represent the area is 5.5(7.5 + x). Rewrite the expression using the Distributive Property.
Answer and Step-by-step explanation: Distributive Property describes how to solve expressions like a(b +c). According to the property, multiplying the sum of two or more numbers by a number will result in the same as multiplying each number and then add the products. For example:
11(2 + 4)
11(6) = 66 22 + 44 = 66
So, for the expression that represents the area:
5.5(7.5 + x) = 41.25 + 5.5x
As the expression has non-numerical terms, the distributive property will be multiply each term and then add the products.
The expressio for area of a rectangular mural is 41.25 + 5.5x.
1. Emily bicycle wheel had a diameter of 18 inches.
If the wheel makes 10 revolutions, approximately how far will the
bicycle have to travel? Round your answer correct to the nearest
whole number.
write 3^n/9^(n-1) as a power of 3
Answer:
[tex]\frac{3^{n} }{3^{2(n-1)} }[/tex]
Step-by-step explanation:
3²⁻ⁿ is the simplification of 3ⁿ/9ⁿ⁻¹ in powers of 3.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 3ⁿ/9ⁿ⁻¹
three power n divided by nine power n minus one.
To express to the power of 2, we have few properties of exponentials.
aˣ/aⁿ=aˣ⁻ⁿ
aˣ.aⁿ=aˣ⁺ⁿ
The given expression is
3ⁿ/9ⁿ⁻¹
3ⁿ/(3²)ⁿ⁻¹
3ⁿ/3²ⁿ⁻²
3ⁿ.3⁻²ⁿ⁺²
When bases are same then we will add the powers
3ⁿ⁻²ⁿ⁺²
3²⁻ⁿ
Hence 3²⁻ⁿ is the simplification of 3ⁿ/9ⁿ⁻¹ in powers of 3.
To learn more on Expressions click:
https://brainly.com/question/14083225
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Help! Pls I cant solve it help me with explanation also pls.
Given:
The expression is
[tex]\dfrac{2}{a-2}-\dfrac{8}{a^2-4}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\dfrac{2}{a-2}-\dfrac{8}{a^2-4}[/tex]
It can be written as
[tex]=\dfrac{2}{a-2}-\dfrac{8}{a^2-2^2}[/tex]
[tex]=\dfrac{2}{a-2}-\dfrac{8}{(a-2)(a+2)}[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
Taking LCM, we get
[tex]=\dfrac{2(a+2)-8}{(a-2)(a+2)}[/tex]
[tex]=\dfrac{2a+4-8}{(a-2)(a+2)}[/tex]
[tex]=\dfrac{2a-4}{(a-2)(a+2)}[/tex]
[tex]=\dfrac{2(a-2)}{(a-2)(a+2)}[/tex]
Cancel out the common factors.
[tex]=\dfrac{2}{a+2}[/tex]
Therefore, the simplified form of the given expression is [tex]\dfrac{2}{a+2}[/tex].
Claire received 3/8 of her allowance on Monday. What decimal shows the part of her allowance that she received?
0.375
0.75
0.83
2.6
Answer:
0.375
Step-by-step explanation:
3/8 = 0.375
what is the answer please help me
5. A rectangle with length 8 cm and width 5 cm is dilated by a scale factor of 3. What are the perimeter and area of the image?
Answer:
The area is 120
The perimeter is 78
Step-by-step explanation:
To find area you have to multiply length x width.
(8x5)
To find perimeter you have to find the length of all the sides and add them
together. To find perimeter of a shape you do length x2 + width x2
(8x2 + 5x2)
Then you need to find the scale factor.
A scale factor of 3 is 3x the size of the original shape
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An integer k has the properties shown. What is a possible value of K?
Answer:
81
Step-by-step explanation:
sq rt 81 = 8.94
8.94 is between 8 and 9
20-8.94 = 11.06 rounds to 11
Find h is f(h) = 215
please help thank you!!
Answer:
h = 215/f
Step-by-step explanation: