Answer:
The spring will stretch 4.1 inches
Step-by-step explanation:
Direct Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
y = kx
Where k is the constant of proportionality.
Let's call:
y = distance a spring stretches
x = weight attached to the spring
We know when x=80 pounds, y=6 inches, thus:
6 = 80k
Solve for k:
[tex]k=\frac{6}{80}=\frac{3}{40}[/tex]
The equation is now:
[tex]\displaystyle y = \frac{3}{40}x[/tex]
When x=55 pounds are attached:
[tex]\displaystyle y = \frac{3}{40}\cdot 55[/tex]
Calculating:
y = 4.1 inches
The spring will stretch 4.1 inches
Work our the size of angle x.
Answer:
13°
Step-by-step explanation:
180-98=82
82+85=167
180-167= 13
x= 13°
Compare the decimals using >, <, or =
.65
.8
Answer:
.65<.8
Step-by-step explanation:
.65 is less than .8
Answer
The answer is .8
Step-by-step explanation:
Leo reads 14 pages in 1/4 hour. What is the unit rate for pages per hour? For hours per page?
Answer:
56 pages per hour
Step-by-step explanation:
multiply 14 by 4 because 1/4 * 4 = 1
During National Recycling Month, Mr. Yardley's class spent 4 weeks collecting empty cans
to recycle. During Week 2, the class collected 1,256 more cans than they did during
Week. Find the total number of cans Mr. Yardley's class collected in 4 weeks.
Answer:
don't know but hope you have a good new year
Answer:
- or +
Step-by-step explanation:
i don't know
hi everyone can you tell i'm i right and also can anyone help in explaining please and also dont forget youre beautiful of world lovely kind hot
Answer:
yes its correct
Step-by-step explanation:
9/12 +3/12 =?
A. 1
B. 6/12
C. 11/12
D.1/2
9/12 + 3/12 = 12/12 = 1
Therefore, 1 is your answer.
Answer:
Solving [tex]\frac{9}{12}+\frac{3}{12}[/tex] we get 1.
Option A is correct answer.
Step-by-step explanation:
We need to solve [tex]\frac{9}{12}+\frac{3}{12}[/tex]
For solving fractions we need to take LCM of denominators.
The LCM of 12, 12 is 12
So, solving:
[tex]\frac{9}{12}+\frac{3}{12}\\=\frac{9*1+3*1}{12}\\=\frac{9+3}{12}\\=\frac{12}{12}\\=1[/tex]
So, solving [tex]\frac{9}{12}+\frac{3}{12}[/tex] we get 1.
Option A is correct answer.
Max is shopping for breakfast cereal at the supermarket. He wants to determine which two cereals are in a proportional relationship according to their cost-to-size ratio.
Answer:
A and cereal C have equivalent cost-to-size ratios of $0.21 per ounce, they are in a proportional relationship.
Step-by-step explanation:
Answer:
a c
Step-by-step explanation:
Math question could someone help me !
Answer:
60
Step-by-step explanation:
SInce 2 out of 5 of 100 support it, that means that 40 support. This means that 60 do NOT support it
divide 81 -x^2 y^2 by (9-xy) (3 + xy)
Answer:
When we divide 81 -x²y² by (9-xy) (3 + xy), we determine the expression is:
[tex]\frac{81-x^2y^2}{\left(9-xy\right)\left(3+xy\right)}=\frac{9+xy}{3+xy}[/tex]
Step-by-step explanation:
Let us divide 81 -x²y² by (9-xy) (3 + xy)
so
Given the expression
[tex]\frac{81-x^2y^2}{\left(9-xy\right)\left(3+xy\right)}[/tex]
Factor -x²y² + 81 = (9+xy) (9-xy)
[tex]\frac{81-x^2y^2}{\left(9-xy\right)\left(3+xy\right)}=\frac{\left(9+xy\right)\left(9-xy\right)}{\left(9-xy\right)\left(3+xy\right)}[/tex]
Cancel the common term: 9-xy
[tex]=\frac{9+xy}{3+xy}[/tex]
Therefore, when we divide 81 -x²y² by (9-xy) (3 + xy), we determine the expression is:
[tex]\frac{81-x^2y^2}{\left(9-xy\right)\left(3+xy\right)}=\frac{9+xy}{3+xy}[/tex]
what is the estimate value of 976 divide by 0.188
Answer:
Estimating is used to help predict the answer to a calculation. We use estimation to make calculations more manageable and to give us an idea of the answer. Estimation is used in the construction industry, for example, when buying materials and planning labour.
Answer:
5191.4
Step-by-step explanation:
976/0.188
=5191.4
13 Here is information about the age, in years, of each of Jelina's five children when written
in order
a
b
b/2+ a
2b + a +3
2b + a +5
It is given that
a is the age of the youngest child
a≠b
two of the children have the same age
the mean age of the five children is 10.6
Calculate the value of a and the value of b
Show clear algebraic working.
Answer:
a)x-1 by 4=3
b)3x+6 by 2=3 by 2
c)3x-1by5=2x+3by7
Which of the following choices will simplity (8 - 5)2 - 19 + 42
Answer:
29
Step-by-step explanation:
Help lol I’m bad at mafs and I need halp
Answer:
(A) 5^3 * 5^-4
= 5^(3-4)
= 5^(-1)
= 5^-1
= 1/5^1
= 0.2
Yes, expression has value between 0 and 1
(B) 3^5 / 3^-6
= 3^5 * 3^6
= 3^(5+6)
= 3^(11)
= 177147
No, expression does not have value between 0 and 1
(C) (1/4)^3 * (1/4)^2
= (1/4)^(3+2)
= (1/4)^(5)
= (1^5/4^5)
= 1 / 4^5
= 1 / 1024
= .000977
Yes, expression has value between 0 and 1
(D) (-7)^5 / (-7)^7
= (-7)^5 * (-7)^-7
= (-7)^(5-7)
= (-7)^(-2)
= 1 / (-7)^2
= 1 / 49
= 0.02041
Yes, expression has value between 0 and 1
Step-by-step explanation:
For these problems we need to know a few things:
(1) Powers of like bases, you add the exponent
This means the following:
x^y * x^z = x^(y+z)
Or
x^y / x^z = x^(y-z)
(2) Negative powers can be swapped on the fraction to be positive
This means the following:
x^-y = 1 / x^y
Or
1 / x^-y = x^y
Using these two things, we can easily simplify all the expressions given.
Cheers.
Alec's dad is 36 years old. His age is 3 times Alec's age.
Answer:
12
Step-by-step explanation:
Just divide 36 by 3 and you get 12.
Helppppppppp pleaseeee ASAP
Answer:
y = (x + 4)^2 - 3
Use Foil to solve (x + 4):
(x + 4)(x + 4) = x^2 + 8x + 16
Plug it back into original equation:
y = x^2 + 8x + 16 - 3
y = x^2 + 8x + 13 is the answer :)
If the Ramirez family deposits $5000 in a savings account at 7.5% interest compounded continuously, how much will be in the account after 15 years?
Answer:
The amount is $14794.39 and the interest is $9794.39
Step-by-step explanation:
Which statement is correct?
A. Secant is the reciprocal of sine.
B. Cotangent is the reciprocal of tangent.
C. Cosecant is the reciprocal of cosine.
D. Cosine is the reciprocal of cotangent.
SUBMIT
Answer:
Solution in photo
Step-by-step explanation:
The statement that is correct is Cotangent is the reciprocal of tangent.
What is cotangent?The term cotangent can be written as ( cot ). It is said to be the reciprocal of the tangent and It is one whose ratio of its adjacent side is said to be the opposite side that is found in a right triangle.
Therefore, we can say that The statement that is correct is Cotangent is the reciprocal of tangent as it is the correct one among the options.
Learn more about tangent from
https://brainly.com/question/4470346
#SPJ2
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal. A rhombus ABCD is shown with diagonal AC equal to 17.2 feet and diagonal BD equal to 14.3 feet What is the area of the farm? (1 point) a 122.98 square feet b 126 square feet c 163.96 square feet d 189 square feet
Answer:
Personally, I think it is A.
Step-by-step explanation:
14.3 x 17.2 = 245.96
245.96 ÷ 2 is 122.98
The Answer is A)
Answer:
The answer is A
Step-by-step explanation:
I took the test and I got it right trust me!!
Hope I helped!!!
Simplify Negative 3 over 2 ÷ 9 over 6.
Answer:
-1
Step-by-step explanation:
-3/2 / 9/6
-1.5 / 1.5 = 1
Rearrange the following and ad .005, 2,002.181, 795.41, 14.0,184
Answer:
1 2 3 4
Step-by-step explanation:
Answer:
1234
Step-by-step explanation:
how do i graph y=x-6
Replace x with a FE numbers, solve for y then use the x and y values for points on the graph.
Y = x -6
X = 7
Y = 7-6
Y = 1
Point (7,1)
X = 10
Y = 10-6
Y = 4
Point(10,4)
Madeline lives on a farm. Each time it rains, she uses a rain gauge (captures rain)to measure how much rain has fallen. She records the following rain measurements (in inches): 1.9, 0.6, 1/2, 1/10.
Write the rainfall amounts from least to greatest using sticky notes.
Answer:
1/10, 1/2, 0.6, 1.9
Step-by-step explanation:
1/10 is equivalent to 0.1 and 1/2 is the same as 0.5, thus making your order 1/10, 1/2, 0.6, 1.9
The graph of the absolute value parent function, f(x) = |x|, is stretch horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
A. g(x) = 6|x|
B. g(x) = |x + 6|
C. g(x) = |1/6x|
D. g(x) = |6x|
Answer:
Step-by-step explanation:
(C). g(x) = | [tex]\frac{1}{6}[/tex] x |
I need help. the Question in in Photo
Answer:
I had same one so the answer is C
Step-by-step explanation:
♦I hope this helps you also please mark brainliest ♦
♦☻☺Thanks☺☻♦
Which expressions have an estimated value that is close to 9? Check all that apply.
Answer:
can you post a picture of the question?
Answer:
Hello There!
Step-by-step explanation:
Could you please put the answer choices/expressions? You can just write them in the comment section and I can edit this answer to help you out :)
Happy New Year
robyn has 3 pans to bake brownies for her friend she pours 1/4 cup of chocolate chips into each pan how much chocolate chips does she need in all
Answer:
3/4
Step-by-step explanation:
If she has 3 pans and pours 1/4 in each that's 3/4
Answer:
3/4 cups of choclate chips
Step-by-step explanation:
1/4+1/4+1/4=3/4
Emily split up the area of a rectangle to help her solve the division equation 5{,}360 \div 5=?5,360÷5=?5, comma, 360, divided by, 5, equals, question mark.
She splits the rectangle into parts that are easy to divide by 555:
Area model split into 4 parts, each with a width of 5 units. From top to bottom the parts have a height of A units and an area of 5,000 square units; a height of B units and an area of 300 square units; a height of C units and an area of 50 square units; a height of D and an area of 10 square units. A brace labeled H spans the top 4 parts.
Answer:
s
Step-by-step explanation:
Emily used an area model for 5,360 ÷ 5 split a rectangle into four parts: A=1,000, B=60, C=10, and D=2 units and total area = 5,360 after division the answer is 1,072.
To solve the division equation 5,360 ÷ 5, Emily used an area model split into 4 parts, each with a width of 5 units. Let's use the information provided to find the values of A, B, C, and D.
The area of the first part is 5,000 square units, and its width is 5 units. Therefore, the height of this part (A) is:
A = Area / Width
A = 5,000 / 5
A = 1,000 units
The area of the second part is 300 square units, and its width is 5 units. Therefore, the height of this part (B) is:
B = Area / Width
B = 300 / 5
B = 60 units
The area of the third part is 50 square units, and its width is 5 units. Therefore, the height of this part (C) is:
C = Area / Width
C = 50 / 5
C = 10 units
The area of the fourth part is 10 square units, and its width is 5 units. Therefore, the height of this part (D) is:
D = Area / Width
D = 10 / 5
D = 2 units
Now, we have the following values:
A = 1,000 units
B = 60 units
C = 10 units
D = 2 units
To find the total area of the rectangle, we sum up the areas of all four parts:
Total Area = 5,000 + 300 + 50 + 10 = 5,360 square units
Now, we can calculate the division 5,360 ÷ 5:
5,360 ÷ 5 = 1,072
Therefore, using area model the answer to the division equation is 1,072.
learn more about area here
brainly.com/question/19755342
#SPJ2
Giving 20 points please help
Step-by-step explanation:
for each top equation, there is a y value and an x value. You could plug in the bottom equation for y in the top equation since y=5x+23. Then you do order of operations and get your y-value. Then you do order of operations again and get your x-value. then its ordered pair, (x,y)
Right? I am so sorry if I am wrong <3
Which of the following statements about a negatively skewed distribution is true? a) The distribution of the data tails to the right of the median. b) The mean and median have the same value. c) The distribution of the data tails to the left of the median. d) The distribution of the data features two modes.
Answer: c) The distribution of the data tails to the left of the median
Step-by-step explanation:
In a scenario whereby the mean is more than the mode for a particular distribution, we can say that such distribution is said to be positively skewed.
Also, when the mean in the distribution is less than the mode, we can say that the distribution is said to be negatively skewed. For a negatively skewed distribution, it should be noted that on the left side, the tail of distribution is seem to be longer.
Therefore, the correct option is C "The distribution of the data tails to the left of the median".
The option C is correct.
Negatively skewed distribution:It is a type of distribution in which more values are concentrated on the right side of the distribution graph while the left tail of the distribution graph is longer.In a distribution that is negatively skewed, the mean of negatively skewed data will be less than the median. The distribution of the data tails to the left of the median. A negative skew is generally not good.So that Option C is correct.
Learn more about the probability distribution here:
https://brainly.com/question/2500166
HELP ME PLS EVERYTHING IS IN THE PICTURE
Its C
;ldwkelrnflejqvnjqefndfkvfeqvjdeklvjefoijfdvnsk;ldfhipoafsojfdshlgr