The triangles are similar by the AA similarity postulate. Find the value of x
Answer:
2.5
Step-by-step explanation:
We know that they are similar and that the length of the long side is 3 + 3, which is 6. 6 = 3 times 2, meaning that all values in the big triangle are double the little triangle. That means that 2x = 5, meaning that x = 2.5.
5 x +4+=34
6y+3=45
8z - 7=57
11t-16=39
2n -6=12+4
3z+4=22???
Answer:
z=6
Step-by-step explanation:
3z +4=22.3z+4-4=22-4.3z=18.3_3=18_3
Graphing & Solving Inequalities
Answer:
x ≥ 1
Step-by-step explanation:
3 + 4x ≥ 7
3 - 3 + 4x ≥ 7 - 3
4x ≥ 4
4x / 4 ≥ 4 / 4
x ≥ 1
1
Mrs. Wang has a bag that contains 15 pounds of sugar. For each cake she makes, she uses pound of sugar. How
5
many cakes can she make from the 15 pound bag of sugar?
F 20
75
H
5
15
1
20
Sharon Wells Mathematics Cumulum. Inc 2100-
Grade 5 So Wecks Week 1 Assessment
Answer: she can make 3 cakes with 15 pounds of sugar
Step-by-step explanation: 15÷5=3
Can someone HELPPPPPP?!??!?!?
Answer:
5/5 is 1 so D is correct.
Hope this helps!
The leprechaun needs to walk 512.5 miles to get the pot of gold. If he plans
to walk 12.5 miles per day, how many days will it take him to reach the gold?
Answer:
41 days
Step-by-step explanation:
512.5 ÷ 12.5 = 41 days
How much of a radioactive kind of bromine will be left after 140 hours if the half-life is 35 hours and you start with 864 grams?
Answer:
1, Because the half-life is 6 hours, the initial amount is halved every 6 hours. Due to the total of 18 hours, the starting amount will be divided by 2 (halved) three times. You will then have one-sixth of the original amount, which is 384 grams divided by six equals 48 grams.
Step-by-step explanation:
Which equation represents the proportional relationship between the cost, t, in dollars, of p pounds of wood bought? T=0.29pt = 0.29 p t=0.31pt = 0.31 p t=3.45pt = 3.45 p t=3.48p
Answer:
T = 0.29p
Step-by-step explanation:
From the table Given :
We can obtain the uint cost per pound of wood :
Cost of 12 pounds of wood = $3.48
Cost per pound = Cost / weight
Cost per pound = $3.48 / 12 = $0.29
Hence, the proportional relationship cost, T in dollars and p pounds of wood is ;
Cost = unit cost per pound * number of pounds
T = 0.29 * p
T = 0.29p
WHAT DEFINES THE SOLUTION SET FOR THE INEQUALITY -X/2 +4<12 ? DUE BY 10:50
-x/2+4<12
-4 -4
-x/2<8
*2 *2
-x<16
/-1 /-1
x<-16
---
hope it helps
Draw a number line and mark all described points on it.
Numbers that are either negative or greater than 5.
Answer:
hi the answer submersible
The area of Mark's laptop computer
screen is 12x2 + 3x in?. If the length is
3x, write an expression that represents
the width?
Your answer
Answer:
4x+1
Step-by-step explanation:
The area is 12x2 + 3x in
The length is 3x
Formula is A=L*B
12x2 + 3x=3x*B
Divide both side by 3x
12x2+3x divide by 3x=B
4x+1=B
The express for the width is 4x+1
Please mark as brainliest
find the area of a circle with a circumference of 6.28 units....
it's hard so what is the answer
Answer:
3.14
Step-by-step explanation:
what is 9-3 divied by 1/3 + 1 =
Answer:
1
Step-by-step explanation:
3 divided by 1/3 is 9, and 9-9=0
0+1=1
1
Step-by-step explanation:
Using long division to find the quotient, what changes do you first
need to make to the dividend (125x3 - 8)?
(125x3 – 8) = (5x – 2)
Answer:
[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]
Step-by-step explanation:
Given
[tex]Dividend = 125x^3 - 8[/tex]
[tex]Divisor = 5x - 2[/tex]
Required
Determine the quotient
See attachment for complete process.
First, divide 125x^3 by 5x
[tex]\frac{125x^3}{5x} =25x^2[/tex]
Write [tex]25x^2[/tex] at the top
Multiply [tex]5x - 2[/tex] by [tex]25x^2[/tex]
[tex]= 125x^3 - 50x^2[/tex]
Subtract from 125x^3 - 8
i.e.
[tex]125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8[/tex]
Step 2:
Divide 50x^2 by 5x
[tex]\frac{50x^2}{5x} = 10x[/tex]
Write [tex]10x[/tex] at the top
Multiply [tex]5x - 2[/tex] by [tex]10x[/tex]
[tex]= 50x^2 - 20x[/tex]
Subtract from 50x^2 - 8
i.e.
[tex]50x^2 - 8 - (50x^2 - 20x) = 20x - 8[/tex]
Step 3:
Divide 20x by 5x
[tex]\frac{20x}{5x} = 4[/tex]
Write [tex]4[/tex] at the top
Multiply [tex]5x - 2[/tex] by [tex]4[/tex]
[tex]= 20x - 8[/tex]
Subtract from 20x - 8
i.e.
[tex]20x - 8 - (20x - 8) = 0[/tex]
Hence:
[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]
base = 5 ft Height= 3.5 ft what is the area
Answer:
the area is 17.5 ft if the shape is a square/rectangle
the area is 8.75 ft if the shape is a triangle
Step-by-step explanation:
Need ASAP!
six less than twice a number is half the number plus twelve
3. Alfonso surveyed several students in his school. He asked them to give the grade that they are in any the number of pets they have at home. The results are shown in the table
below.
Survey Results
Number of
Grade
5
6
2
1
4
2
4
1
4
3
5
Pets
0
4
2
3
5
1
2
2
0
5
2
I
Find the correlation coefficient for the data. Round to the nearest hundredth.
the correlation coefficient for Alfonso survey is 0.36.
What is the correlation coefficient?
The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.
For the given situation,
The table below shows the values of the data x, y and the correlation calculations.
The formula of correlation coefficient is
[tex]r=\frac{n(\Σ xy)-(\Σ x)(\Σ y)}{\sqrt{[n\Σ x^{2} -(\Σ x)^{2} }] [n\Σ y^{2}-(\Σ y)^{2} ]}[/tex]
From the table substitute all the values.
⇒ [tex]r=\frac{(11)(98-(37)(26))}{\sqrt{[11(153)-37^{2} ][(11)(92)-26^{2} ] }}[/tex]
⇒ [tex]r=\frac{1078-962}{\sqrt{(1683-1369)(1012-676)} }[/tex]
⇒ [tex]r=\frac{116}{\sqrt{(314)(336)} }[/tex]
⇒ [tex]r=\frac{116}{324.81}[/tex]
⇒ [tex]r=0.357[/tex] ≈ [tex]0.36[/tex]
Hence we can conclude that the correlation coefficient for Alfonso survey is 0.36.
Learn more about correlation coefficient here
https://brainly.com/question/19560394
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Please help need answers ASAP
Answer:
0.527
Step-by-step explanation:
From the question,
The sequence is Geometry Progression (G.P)
Tₙ = arⁿ⁻¹.......................... Equation 1
Where n = number of term, a = first term, r = common ratio
Given: n = 7, a = 6, r = 2/3
Substitute these values into equation 1
T₇ = 6(2/3)⁷⁻¹
T₇ = 6(2/3)⁶
T₇ = 6(64/729)
T₇ = 384/729
T₇ = 0.527
Hence, the 7th term of the sequence is 0.527
can someone please help I’m trying to get my grades up it’ll be greatly appreciated
Answer:
A. 4
B. 8
Step-by-step explanation:
Colin invests £100 into his bank account.
He receives 4% per year compound interest.
How much will Colin have after 7 years?
Give your answer to the nearest penny where appropriate.
Answer: £100×104/100×104/100×104/100×104/100×104/100×104/100×104/100
=131.59
Starting at n = 1 , find the first 5 members of this sequence : 1+(n-1)2 a. 2,4,6,8,10 b. 1,3,5,7,9 c. 4, 6, 8, 10, 12 d. 3,5,7,9,11
What is 3 divided by 4?
Answer:
3/4 is 75/100 or 0.75
Step-by-step explanation:
If a person is on an 1,800-calorie diet, then how many of their calories will come from fruit?
Answer:
270 calories
Step-by-step explanation:
plz answer don't send link
How many 3-digit numbers are there, for witch all digits have the same parity?
Answer:
27
Step-by-step explanation:
Factor the polynomial: –3x^4 – 9x^3 + 15x^2
Answer:-3x^2(9x^5-5)
Step-by-step explanation:
Step-by-step explanation:
-3x2(x2)-9x3+25x2
-3x2(x2+3x-5)
1-What is 30% of 45?
2-What is 5%of 55.2
Answer:
13.5 and 2.76
Step-by-step explanation:
It takes a new mail carrier 4 hours to deliver the mail on route a. It takes an experienced mail carrier 3 hours to do the same job. How long would it take if they worked together?
Answer: [tex]\frac{12}{7}\ \text{hours}[/tex]
Step-by-step explanation:
Given
New mail carrier takes 4 hours for delivery i.e.
New mail carrier completes [tex]\frac{1}{4}[/tex] part of work in 1 hour
Old mail carrier takes 3 hours for delivery i.e.
mail carrier completes [tex]\frac{1}{3}[/tex] part of work in 1 hour
If they work together, they complete the work in x hours i.e.
[tex]\Rightarrow \dfrac{1}{x}=\dfrac{1}{4}+\dfrac{1}{3}\\\Rightarrow \dfrac{1}{x}=\dfrac{3+4}{12}\\\Rightarrow x=\dfrac{12}{7}\ \text{hours}[/tex]
Changes in the dimensions of the shape do not effect the area of the shape. True or False
Answer:
I’m doing the assignment and in the reading it says In this lesson, you’ll be exploring how changes in the dimensions of a figure affect its area. so I say. False
hope this helps
Step-by-step explanation:
The statement is false because the area could be changed if the dimensions are changed.
How to find the area of a region?Supposing that there is no direct formula available for deriving the area,
we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.
Then summing all those pieces' area gives us the area of the main big region.
The statement is given that 'Changes in the dimensions of the shape do not affect the area of the shape'.
The statement is false because the area could be changed if the dimensions are changed.
Learn more about area here:
https://brainly.com/question/13004063
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Find the solution to the equation.
n + 13 = 52
Answer:
N = 39
Step-by-step explanation:
N + 13 = 52
-13. -13
N = 39
Answer:
n = 39
Step-by-step explanation:
To find what n equals, I want to get it alone on one side of the equation.
To do this, I move 13 to the right side of the equation by subtracting 13 from both sides.
13-13=0 so n is the only value on the left side
52-13=39.
You are now left with n = 39
To check that this is right, add 13 to 39. It equals 52, so you know the answer you found is correct.