Answer:
Hello I'll help you :))!
So there are 21 numbers from 60 to 80 both terms inclusive.
We ignore all even numbers in this range as even numbers can not be prime.
The odd numbers are 61,63,65,67,69,71.73,75,77,79.
So remaining numbers are prime. They are 61,67,71,73,79.
So there are 5 prime numbers in this range.
Solve the system of equations -x + 2y = –2 and 6x – y = -43 by combining
the equations.
Answer:
{x,y}={-8,-5}
Step-by-step explanation:
/ Solve equation [2] for the variable y
[2] y = 6x + 43
// Plug this in for variable y in equation [1]
[1] -x + 2•(6x+43) = -2
[1] 11x = -88
// Solve equation [1] for the variable x
[1] 11x = - 88
[1] x = - 8
// By now we know this much :
x = -8
y = 6x+43
// Use the x value to solve for y
y = 6(-8)+43 = -5
Solution :
{x,y} = {-8,-5}
hope this helps!
Please Help I'm Stuck with this
Answer:
a) 4 cm
b) 5 cm
Step-by-step explanation:
a) Area of a rectangle = width x length
From inspection, the width of this rectangle is 2 cm and the length is 8 cm
⇒ area of the rectangle = 2 x 8 = 16 cm²
A square has 4 sides of equal measure.
Let the side of a square = [tex]x[/tex]
Therefore, the area of a square = [tex]x \times x = x^2[/tex]
If the square has the same area as the rectangle, then
[tex]x^2=16[/tex]
Square root both sides: [tex]x = \sqrt{16} =\pm4[/tex]
Since the length of a side cannot be negative, [tex]x=4[/tex] only
So the side length of the square = 4 cm
b) Perimeter of a rectangle = 2 x length + 2 x width
⇒ perimeter of the rectangle = (2 x 8) + (2 x 2) = 20 cm
Since the side lengths of a square are equal, and a side length = [tex]x[/tex]
Perimeter of a square = 4 x [tex]x[/tex] = 4[tex]x[/tex]
If a square has the same perimeter as the rectangle, then
[tex]4x=20[/tex]
Divide both sides by 4: [tex]x=20 \div 4 = 5[/tex]
side length of this square = 5 cm
Answer:
a)4cm b)5cm
Step-by-step explanation:
a)
[tex]Solution,\\\\Length(l)=8cm\\\\Breadth(b)=2cm\\\\Now,\\\\Area=l*b\\\\Area=8cm*2cm\\\\Area=16cm^{2}[/tex]
Area of the rectangle is 16cm².
When,
Area of the rectangle is equal to the area of the square then,
Area of square=16cm²
Now,
→Length=√Area
→Length=√16cm²
→Length=4cm
b)
[tex]Solution,\\\\Length(l)=8cm\\\\Breadth(b)=2cm\\\\Now,\\\\Perimeter=2(l+b)\\\\Perimeter=2(8cm+2cm)\\\\Perimeter=2(10cm)\\\\Perimeter=20cm[/tex]
The perimeter of rectangle=20cm
When,
The perimeter of the rectangle is equal to the perimeter of the square then,
The perimeter of square=20cm
Now,
Length=Perimeter/4
Length=20cm/4
Length=5cm
Factinate claims that 84% of teenagers think highly of their mother. To investigate this claim, a school psychologist selects a random sample of 150 teenagers and finds that 135 think highly of their mother. Do these data provide convincing evidence that the true proportion of teens who think highly of their mother is greater than 0.84?
1. State appropriate hypotheses for performing a significance test. Be sure to define the parameter of interest The school psychologist performed the significance test and obtained a P-value of 0.0225.
2. Explain what it would mean for the null hypothesis to be true in this setting.
3. Interpret the P-value.
4. What conclusion would you make at the a = 0.05 level?
Use the z-distribution, we have that:
1.
The null hypothesis is of [tex]H_0: p = 0.84[/tex].
The alternative hypothesis is of [tex]H_1: p > 0.84[/tex].
2. It would mean that at most 84% of teenagers think highly of their mother, as we could not conclude that the proportion is more than 84%.
3. We are working with a right-tailed test, hence it means that there is a 0.0225 = 2.25% probability that at least 0.9 = 90% of teenagers think highly of their mother.
4. The p-value is of 0.0225, which is less than the significance level of 0.05, which means that we would reject the null hypothesis.
How the p-value influences the decision?If the p-value is less than the significance level, the null hypothesis is rejected.If the p-value is more than the significance level, the null hypothesis is not rejected.Item 1:
At the null hypothesis, we test if the proportion of teenagers that think highly of their mother is of 84%, hence:
[tex]H_0: p = 0.84[/tex]
At the alternative hypothesis, we test if this proportion is greater than 84%, that is:
[tex]H_1: p > 0.84[/tex]
Item 2:
It would mean that at most 84% of teenagers think highly of their mother, as we could not conclude that the proportion is more than 84%.
Item 3:
135/150 = 0.9.
We are working with a right-tailed test, hence it means that there is a 0.0225 = 2.25% probability that at least 0.9 = 90% of teenagers think highly of their mother.
Item 4:
The p-value is of 0.0225, which is less than the significance level of 0.05, which means that we would reject the null hypothesis.
More can be learned about the use of the z-distribution for an hypothesis test at https://brainly.com/question/26454209
In Mona’s new video game she earns 30 points for each fish caught and 80 points for each octopus captured, but she loses 15 points every time she captures a crab. Which expression represents the total number of points Mona will earn if she catches x fish, y octopi, and z crabs? 95 (x y minus z) 110 (x y) minus 15 z 30 x 80 y minus 15 z 30 x 80 y minus 15 z.
The expression represents the total number of points Mona will earn if she catches x fish, y octopus, and z crabs is 30x + 80y - 15z.
What is an expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given to us
30 points for fish
80 points for Octopus
-15 points for crab
As it is given in the problem that Mona catches x number of fishes, y number of octopuses, and z number of cabs. therefore,
Points earned through fishes [tex]=x \times 30 = 30 x[/tex]
Points earned through Octopus [tex]=y \times 80 = 80 y[/tex]
Points earned through crabs[tex]=z \times -15= -15 z[/tex]
Total points earned by Mona in the video game
= Points earned through fishes, octopus, and crabs
[tex]=30x + 80 y -15z[/tex]
Hence, the expression represents the total number of points Mona will earn if she catches x fish, y octopi, and z crabs is 30x + 80y - 15z.
Learn more about Expression:
https://brainly.com/question/13947055
Complete the inequality for this graph. y < ?
Answer:
y < 2
Step-by-step explanation:
we can see that the area below y - 2, is shaded. as the line is dotted we shall use " < " sign. go two upwards from origin and that's why our value of y is 2.
The horizontal dotted line is located at y = 2 and the colored area is below that line, so the solution would be less than 2.
Answer: y < 2
Need Help Quickly!
Which expressions describe the area of the shaded region? Select all that apply.
A rectangle is divided into 12 columns and 6 rows, making 72 smaller rectangles. An area that includes 9 smaller rectangles and is the intersection of 3 of the 12 columns and 3 of the 6 rows is shaded.
Answer:
c
Step-by-step explanation:
the height is 6 and the length is 12
the shaded part is 3 boxes by 3 boxes
we can write it as 3/6 by 3/12
it simplifies to 1/2 by 1/4
Answer:
A & C
Step-by-step explanation:
It is A & C!
It is A because:
You said it yourself in the last paragraph of your question:
"An area that includes 9 smaller rectangles and is the intersection of 3 of the 12 columns and 3 of the 6 rows is shaded."
A is fits the perfect description for what you said in the last paragraph.
It is C because:
C is the other answer because it's an equivalent fraction to A.
1/4 x 3/3 = 3/12
1/2 = 3/6
Hope this helps, rose <3
in the computer lab there are 14 apple computers and 16 PC computers
approximately what percent of the computer are PCs
Answer:
14 + 16 = 20
16/20
= 80/100
80 %
Step-by-step explanation:
Answer:
Find the percentage of PCs
Total is 14+16=30 computers
PCs are 16
so, 16/20×100%= 80%
In an earlier lesson, we saw this graph that shows the percentage of all garbage in the U.S. that was recycled between 1991 and 2013.
1) Sketch a linear function that models the change in the percentage of garbage that was recycled between 1991 and 1995. For which years is the model good at predicting the percentage of garbage that is produced? For which years is it not as good?
2) Pick another time period to model with a sketch of a linear function. For which years is the model good at making predictions? For which years is it not very good?
Answer:
here we can use mathematics to make an equation but according to the questions rewarded marks we can only determine an sketch of best fit line
and not good in 1993 (predicted as graph is less accurate)
other period is 1995 to 2005
just somewhere you can see an line straight
Choose the number equal to:
–16.48 ÷ 4
A. –65.92
B. –4.12
C. 4.12
D. 65.92
note that divoding a negative number and a positive number will give a negative number so.. -4.12
(-3,-2) and (x,6); slope: -8/5
Answer:
[tex] slope = \frac{6 - ( - 2)}{x - ( - 3)} \\ \frac{ - 8}{5} = \frac{6 + 2}{x + 3} \\ - 8(x + 3) = 5(6 + 2) \\ - 8x - 24 = 5(8) \\ - 8x - 24 = 40 \\ - 8x = 40 + 24 \\ \frac{ - 8x}{ - 8} = \frac{64}{ - 8} \\ x = - 8[/tex]
How many solutions does the following equation have?
53 +8 – 7x = -4x +1
=
Choose 1 answer:
А
No solutions
B
Exactly one solution
С
Infinitely many solutions
Answer:
One solution
Step-by-step explanation:
So long as you don't have any term x² or to a power higher than 2, the equation will have 1 solution only.
10 m
5.7 m
what is the area?
Answer:
57
If it's a triangle, you just take that answer and multiply it by 0.5
Step-by-step explanation:
Well if you take the two numbers and multiply them together- that is what you get. When it comes to area, you take the two side lengths and multiply them together
Answer:
57m^2
Explanation:
10 x 5.7 = 57 (because its a decimal)
m x m = m^2. or mso thats why its 57m^2
PLSSS HELP IF YOU TURLY KNOW THISS
Answer: A
Step-by-step explanation:
There are 8 ticks until the whole number 1. It is on the 2nd tick. 2/8
Answer:
A. 2/8
Step-by-step explanation:
2/8 = 0.25
6/8 = 0.75
8/2 = 4
The only one that makes the most sense is 2/8 or 0.25
Look at the number lines in the pictures
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:)
Answer:
uh
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Plsss someone help me!!
Answer:
1. 6 words per minute
2. Michaela
3. Robert, Laura, Michaela
Step-by-step explanation:
I need help with number 12
Answer:
1. y = 3x - 5
2. y = -4x + 2
3. y = -3x - 4
4. y = -3x - 6
Step-by-step explanation:
These questions are pretty easy. The only thing you have to do, to turn the equation into slope intercept form, is to solve for y in each equation
All the equations are in standard form, and we need to rewrite them in slope intercept form, so here are the steps
For the first equation: -3y + 9x = 15
We solve for y in the equation
-3y + 9x = 15
1. Subtract 9x from each side to isolate y
-3y + 9x - 9x = 15 - 9x
2. Simplify
-3y = 15 - 9x
3. Divide each term by -3 to get y by itself.
-3y/-3 = 15/-3 -9x/-3
4. Simplify
y = 3x - 5
For the second equation, we do the same proces, we just solve for y
−4x − y + 2 = 0
Step 1: Add 4x to both sides.
−4x − y + 2 + 4x = 0 + 4x
−y + 2 = 4x
Step 2: Subtract 2 to both sides.
−y + 2 − 2 = 4x − 2
−y = 4x − 2
Step 3: Divide both sides by -1
-y/-1 = 4x/-1 -2/-1
y = -4x + 2
For the third equation, we do the same thing too
2y + 6x = -8
Step 1: Subtract 6x to both sides.
6x + 2y − 6x = −8 − 6x
Switch -8 and -6x
2y = −6x − 8
Step 2: Divide both sides by 2.
2y/2 = -6x/2 -8/2
y = -3x - 4
And for the last equation, we do the same thing we did in the second equation
-6 - 3x - y = 0
Step 1: Add 3x to both sides.
−3x − y − 6 + 3x = 0 + 3x
−y − 6 = 3x
Step 2: Add 6 to both sides.
−y − 6 + 6 = 3x + 6
−y = 3x + 6
Step 3: Divide both sides by -1.
-y/-1 = 3x/-1 + 6/-1
y = -3x - 6
Work out the missing numbers:
a) 2.8 x ? = 3.92
b) ? x 1.7 = 2.21
Answer:
a) [tex]\sf x = 1.4[/tex] b) [tex]\sf x = 1.3[/tex]
Let the missing numbers be x,
solving steps:
a)
[tex]\sf 2.8 * x = 3.92[/tex]
[tex]\sf x = \frac{3.92}{2.8}[/tex]
[tex]\sf x = 1.4[/tex]
b)
[tex]\sf x * 1.7= 2.21[/tex]
[tex]\sf x = \frac{2.21}{1.7}[/tex]
[tex]\sf x = 1.3[/tex]
Find the values of x and y. The diagram is not to scale.
A.) x=60, y=83
B.) x=83, y=60
C.) x=83, y=62
D.) x=42, y=60
Answer:
[B] x = 83, y = 60
Step-by-step explanation:
Find the value of x
we know that
[tex](x-3)=80[/tex] -------> by corresponding angles, because the given lines are parallel
Solve for x
[tex](x-3)=80[/tex]
[tex]x=80+3[/tex]
[tex]x=83[/tex]
Find the value of y
we know that
[tex]x-3+42+(y-2)= 180[/tex]
substitute the value of x and solve for y
[tex]83-3+42+(y-2)= 180[/tex]
[tex]80+42-2+y=180[/tex]
[tex]120+y=180[/tex]
[tex]y=180-120[/tex]
[tex]y=60[/tex]
Therefore, the answer is [B] x = 83, y = 60
[RevyBreeze]
Simplify 6 x − x + 5 y − 2 y
Answer:
5x + 3y
Step-by-step explanation:
6x − x + 5y − 2y
(6x − x) + (5y − 2y)
5x + 3y
Hope that helps!
Answer:
[tex]5x+3y[/tex]
Step-by-step explanation:
Given the following question:
[tex]6x-x+5y-2y[/tex]
In order to find the answer, we combine like terms by adding/subtracting terms with similar variables.
[tex]6x-x+5y-2y[/tex]
[tex]6x-x=5x[/tex]
[tex]5y-2y=3y[/tex]
[tex]5x+3y[/tex]
Hope this helps.
Similar Figures/Proportion
Answer:
around 40.2
Step-by-step explanation:
To find this you can cross multiply.
(11/15) = (x/58.8). Solve for x
So, the measure of NO is 43.12.
help me please, will give brainliest
Step-by-step explanation:
Mark me as brilliant plzzz
When x=4
1. Substitute the x into the equation.
y=3(4)+10
2. Solve for y
y=3(4)+10
y=12+10
y=22
When x=5
1. Substitute the x into the equation.
y=3(5)+10
2. Solve for y
y=3(5)+10
y=15+10
y=25
When x=6
1. Substitute the x into the equation.
y=3(6)+10
2. Solve for y
y=3(6)+10
y=18+10
y=28
what is the answer for :
94.284 multiplied by 8?
its due veryyyyy soonnnn
help
Plss someone helppp and explain if you can
Step-by-step explanation:
ab and dc are parallel lines and ad is a traversal
angle aef = angle edc (corresponding angles)
180-13x-57 = 5x-3
183-57 = 18x
126= 18x
x= 7
angle aef =180-13*7-57= 32
How many solutions are there? And what is the answers?
Answer:
x = 4 y = 3
Step-by-step explanation:
4 + 3 = 7
4 - 3 = 1
There is only one answer
Isabel deposits $6,000 into an account that earns 1. 5% interest compounded monthly. Assuming no more deposits and no withdrawals are made, how much money is in the account after 4 years? Compound interest formula:mc002-1. Jpg t = years since initial deposit n = number of times compounded per year r = annual interest rate (as a decimal) P = initial (principal) investment V(t) = value of investment after t years $6,360. 00 $6,370. 78 $7,180. 89 $10,892. 13.
There is $6,370. 78 money is in the account after 4 years.
Given
Isabel deposits $6,000 into an account that earns 1. 5% interest compounded monthly.
Compound interestCompound interest is the interest calculated on the principal and the interest accumulated over the previous period.
The amount after 4 years is calculate by following formula;
[tex]\rm V(t)= P(1+\dfrac{r}{n})^{nt}[/tex]
Where t = years since initial deposit n = number of times compounded per year r = annual interest rate (as a decimal) P = initial (principal) investment V(t) = value of investment after t years.
Substitute all the values in the formula;
[tex]\rm V(t)=6,000\times (1+\dfrac{0.015}{12})^{12\times 4}\\\\V(t)=6,370.78[/tex]
Hence, there is $6,370. 78 money is in the account after 4 years.
To know more about compound interest click the link given below.
https://brainly.com/question/3068001
Answer:
it's b $6,370.78
Step-by-step explanation:
what is area of ths shape
The area is 114 yards
Step-by-step explanation:
(10x9) + (4x6)
Answer:
3600
Step-by-step explanation:
multiply them all i believe im wrong tho i dont know
please help 20 pointsssss
What is the answer to (-9x10^-14)x(-3x10^7)
Answer:
2.7×10−6
Step-by-step explanation:
I did this on a calculator I have no idea what the step by step is
Which expressions are equivalent to 4 to the 5 power choose all that apply
Answer:
since you didn't put the answer choices, this is what I know...
4 to the 5 power is 1024
it can be written as:
4x4x4x4x4 or 4^5
Step-by-step explanation:
Please help ! Use 1st and 2nd differences to determine if the following table is linear, quadratic or neither.
Answer:
Quadratic
Step-by-step explanation:
anytime the Y values repeat in that fashion, it's going to be a parabola aka quadratic function