Answer:
11a
[tex]3x\\ 4x\\ 10+2x\\ 12+2x[/tex]
11b
[tex]8\\ 6\\ 7\\ 6[/tex]
12
Anna is 18. Rita is 13.
13
Mark is 12.
Step-by-step explanation:
Recall that the perimeter of a shape is the sum (or total) of all the edges that make up that shape. So, for the first shape, there are three Xs. We write this as [tex]\bold{3x}[/tex] so this is the perimeter.
In the second, there are four Xs, so this is [tex]\bold{4x}[/tex].
In the third, there are two Xs and two 5s, so this is [tex]2x+(2*5)=\bold{10+2x}[/tex].
In the fourth, there are two Xs and three 4s, so this is [tex]2x+(3*4)=\bold{12+2x}[/tex].
If each is equal to 24, we can simply set them as equal to 24 and solve.
[tex]3x = 24\\\bold{x=8}[/tex]
----
[tex]4x=24\\ \bold{x=6}[/tex]
----
[tex]10+2x=24\\2x = 14\\\bold{x=7}[/tex]
----
[tex]12+2x=24\\2x=12\\\bold{x=6}[/tex]
If Anna is 5 years older than Rita, then [tex]a=r+5[/tex]. If their sum is 31, then [tex]a+r=31[/tex]. We can perform some substitution:
[tex](r+5)+r=31\\5+2r=31\\2r=26\\r=13[/tex]
Therefore, Rita is 13. Keep going:
[tex]a=r+5\\a=13+5\\a=18[/tex]
Anna is 18.
If Dad is three times as old as Mark, then [tex]d=3m[/tex]. If the sum of their ages is 48, then [tex]d+m=48[/tex]. We can perform some algebra:
[tex]d+m=48\\m=48-d\\d=3(48-d)\\d=144-3d\\4d=144\\d=36[/tex]
Dad is 36. Keep going:
[tex]d=3m\\36=3m\\m=12[/tex]
Mark is 12.
Now that you've seen these, you do the bonus ;)
A car travels at the rate of 60 miles per hour and averages 30 miles per gallon of gasoline. Which of the following is the best
approximation of the number of gallons of gasoline that will be used in 8 hours of traveling at 60 miles per hour?
0.06 gallons
16 gallons
3.75 gallons
7.5 gallons
480 gallons
20 POINT!!
Can someone help me I don’t understand it at all
Answer:
second
Step-by-step explanation:
substitute y=6 and x=1 in the given relations and see if works
y=2x will be 6 = 2*1 false
y=x+5 will be 6 = 1+5 true
because this is true check all the other y and x and if all true is good
7=2+5 true, 8=3+5 true 9= 4+5 true, 10=5+5 true, so second is good
y=2x+1 will be 6=2*1+1 false
y=3x+1 will be 6=3*1+1 false
Evaluate: 9m+7n if m=-7 and n=4
Answer: look at the picture
Step-by-step explanation: Hope this help :D
For m = -7, n = 4, 9m+7n = -35
What is evaluating an algebraic expression?
"To solve or evaluate an expression is nothing but substitute the given value of the variable in the expression and then simplify the expression using the order of mathematical operations."
Given expression:9m+7n
We need to solve this expression for m = -7 and n = 4.
Substituting m = -7, n=4 in given expression,
⇒ 9m+7n
⇒ 9(-7) + 7(4)
⇒ -63 + 28
⇒ -35
Therefore, for m = -7, n = 4, 9m+7n = -35
Learn more about evaluating expression here:
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The height of a triangle is 7 ft more than its base. If the area of the triangle is 30 ft2, what is the length of the base?
2 ft
5 ft
9 ft
12 ft
Answer:
see below
Step-by-step explanation: 5 27 7 16
area = 1/2 bh
height of a triangle is 7 ft more than its base
base = b
height = b + 7
area = 30
area = 1/2 b(h)
30 = 1/2 b(b + 7)
30 = 0.5(b²+ 7b)
30 = 1/2 b²+ 3.5b solve for b
1/2 b²+ 3.5b = 30
1/2 b²+ 3.5b - 30 = 0
b²+ 7b - 60 = 0 factor
(b +12)(b - 5) = 0 when b = -12 or 5 base length can't be negative
b = base = 5
area = 1/2 bh 1/2×2(9) = 9
area = 1/2 bh 1/2×5(12) = 60
area = 1/2 bh 1/2×9(16) = 56
area = 1/2 bh 1/2×12(19) = 114
The angle of depression from a person on top of a cliff to a point 34 feet from the base of the cliff is 30°. what is the height of the cliff?
Emma has $x in her bank account. Jonah has $40 more than twice as much as Emma in his bank
account. Together they have $760. Write and solve an equation to determine how much money Emma
has in her bank account.
Answer:
$240
Step-by-step explanation:
We can set this up by making an equation: x + 2x + 40 = 760.
Now we can solve.
x + 2x + 40 = 760 (combine like terms (x))
3x + 40 - 40 = 760 - 40 (subtract 40 from both sides)
3x / 3 = 720 / 3 (divide by 3 to isolate x)
x = 240
Because Emma has $x, she has $240 in her bank account.
You can check this by substituting this value for x in our original equation.
Gary has 4 pencils 12 markers and 24 crayons, what is the ratio of pencils?
Answer:
1:10 [simplified from 4:40)
Step-by-step explanation:
4 pencils+ 12 marker+ 24 crayons=40
4 pencils: 40 items
1 pencil : 10 items
i dunno if this was right but there you gooo lol</3
HELP ME WITH THIS PLEASE. THANK YOU
Answer:
I think it's 2
Step-by-step explanation:
Answer:
1/11 is correct.
Step-by-step explanation:
You can see that the 3 is spun 2 times, but we need to know how many times he spun in total.
2 + 3 + 2 + 4 + 5 + 2 + 1 + 3 = 22
2/22 = 1/11
Have a nice day!
What is the measure is B? And an explanation too but if not it’s fine!
Answer:
A
Step-by-step explanation:
Two angles are complementary if their angles add up to 90
let x= angle b
35+x=90
x=55
Choose which method to use: Law of Sines or Use Law of Cosines.
Answer:
we have
b=3mm
c=5mm
a=?
angle =62°
By using cosine rule.
a²=b²+c²-2bc cos angle
a²=3²+5²-2×3×5 cos 62°
a²=19.92
a=√19.92
a=4.5
I had choose cosine rule.
The function f(x)=12sin(x−π4) is used to describe a water wave. The value x is the time in seconds, and f(x) is the position of the wave in feet above or below the normal water level.
On which of these intervals does f−1(x) exist?
A
[0,π]
B
[3π4,7π4]
C
[π4,5π4]
D
[0,2π]
Option C, [tex]\left(\dfrac{\pi}{4},\dfrac{5\pi}{4}\right)[/tex] is the correct answer such that the function, [tex]f(x)=12sin(x-4\pi)[/tex] where, [tex]x[/tex] is the time in [tex]seconds[/tex] and [tex]f(x)[/tex] is the position of the water wave in [tex]ft[/tex] above and below the normal water level.
inverse of the functionThe inverse of the function is the mirror image of the function with respect to the dependent variable.
How to determine the inverse of the function?From the figure, the interval of water wave above the normal water level is [tex]\left(\dfrac{\pi}{4},\dfrac{5\pi}{4}\right)[/tex].
So, the interval of the mirror image of the function with respect to the dependent variable [tex]x[/tex] is [tex]\left(\dfrac{\pi}{4},\dfrac{5\pi}{4}\right)[/tex].
As a result, Option C is the correct answer.
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What is the surface area of this square pyramid
18 ft
33ft
36 ft
57 ft
The surface area of this square pyramid is 33ft
Surface area of square based pyramidThe formula for calculating the surface area of the ssquare pyramid is expressed as:
TSA = Area of square + 4(area of triange)
TSA = (3*3) + 4(0.5 * 4 * 3)
TSA = 9 + 4(6)
TSA = 9 + 24
TSA = 33 square feet
Hence the surface area of this square pyramid is 33ft
Learn more on surface area of the pyramid here: https://brainly.com/question/16060915
HELP!!! WILL GIVE BRAINLIEST +LIKE AND 5 STARS ANSWER THE QUESTION IN THE PICTURE
Answer:
13) B
14) A
Step-by-step explanation:
13) Knowing that the interior angles of a triangle add up to 180, we can see that angle A is 53°. To find length c, we can use either sine or cosine. Let's use sine:
sin 37° = b/c = 15.9/c ---> c = 15.9/sin 37 = 26.4
To solve for side a, use cosine:
cos 37° = a/26.4 ---> a = 26.4cos37 = 21.1
14) Again, knowing that the interior angles of a triangle add up to 180, we know that angle B is 52°. This time,let's use cosine (although you may choose sine if you want):
cos 38° = b/16 ---> b = 16cos38 = 12.6
To find side a, use sine:
sin 38° = a/16 ---> a = 16sin38 = 9.9
If g(x)=4vx then g(45)
is
Answer:
(2) 12√5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
g(x) = 4√x
g(45) is x = 45 for function g(x)
Step 2: Evaluate
Substitute in x [Function g(x)]: g(45) = 4√45Simplify: g(45) = 4(3√5)Multiply: g(45) = 12√5WILL GIVE BRAINLIEST!! A card deck for a board game has 20 cards, of which 4 are red, 6 are blue, and 10 are purple.
What is the probability of randomly selecting a blue card, then a purple card, without replacement?
Answer:
157/190
Step-by-step explanation:
6/20 + 10/19 = 157/190
A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1. If the distribution is approximately normal, find the probability that there will be fewer than 69 broken pretzels in a run.
Answer:
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.
This means that [tex]\mu = 73.5, \sigma = 5.1[/tex]
Find the probability that there will be fewer than 69 broken pretzels in a run.
This is the p-value of Z when X = 69.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{69 - 73.5}{5.1}[/tex]
[tex]Z = -0.88[/tex]
[tex]Z = -0.88[/tex] has a p-value of 0.1894
0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.
Find the range and the midrange for the following data set: 7.25, 6.75, 6, 7.5, 7, 7, 7, 7.5, 6, 8.5, 8.5, 6.5, 7, 5.5, 8.5, 7.25, 7.25 a Range = 7.25, Midrange = 6.25 b Range = 3, Midrange = 7 c Range = 5.75, Midrange = 6.5 d Range = 8, Midrange = 7.25
Answer:
B
Step-by-step explanation:
The min and max numbers are 5.5 and 8.5. To find range, you subtract the bigger number by the smaller number. To find midrange, you find the median of the 2 min and max numbers.
8.5-5.5=3
5.5 6 6.5 7 7.5 8 8.5
1 2 3 4 5 6 7
So the range is 3 and the midrange is 7.
---
hope it helps
Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
please help im tring to pass this class
Volume of a cylinder is the area of the base x the height.
Area of base = pi x r^2 = 3.14 x 2^2 = 12.56
Volume = 12.56 x 8 = 100.48 units^3
Answer:
32 pi units^3
Step-by-step explanation:
The volume of a cylinder is given by
V = Bh where B is the area of the base
The base is a circle
The area of a circle is given by
A = pi r^2
The radius is 2
A = pi (2)^2 = 4pi
The area of the base is 4pi
The height is 8
V = 4pi *8
V = 32 pi units^3
PLEASE ANSWER FAST!
you dont have to explain but im trusting on u have a good day
Answer:
126 square inches
Step-by-step explanation:
The area of the figure = area of the parallelogram + area of the square + area of the rectangle
✔️Area of the parallelogram = b*h
b = 10 in.
h = 3.5 in.
Area = 10*3.5
Area = 35 in.²
✔️Area of the square = s²
s = 4 in.
Area = 4²
Area = 16 in.²
✔️Area of the rectangle = L*W
L = 12.5 in.
W = 6 in.
Area = 12.5*6
Area = 75 in.²
✅Area of the figure = 35 + 16 + 75
= 126 in.²
Round 9,526,789 to the nearest hundred thousand
Answer:
9,500,000. the ten thousands place has a two, which is one less than 3, rendering the 6 in the thousand's place ineffective
Step-by-step explanation:
4 or less let it rest, 5 or more let it score
i have to show ALL work
Answer:
Answer:C = 8
Answer:C = 8Step-by-step explanation:
-2(4c+16)^1/4+2=-2
Move the constant to the right and change the sign
-2(4c+16)^1/4= -2-2
transform expression
[tex] - 2 \sqrt[4]{4c - 16} = - 4[/tex]
Divide each side by -2
[tex] \sqrt[4]{4c - 16 } = 2[/tex]
raise both side of the equation by power of 4
4c-16=16
move constant to the right and change the sign
4c=16+16
4c=32
THEN DIVIDE BOTH SIDES BY 4
C = 8
PLEASE HELP I DONT KNOW
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
6m.because,
Diameter = 2R
R = 3m
Diameter = 2×3
= 3m.
ThanksHope it helps.thirty years later the washington monument was finally completed, and the angle of elevation to the top of the monument from the same marker was 70o. to the nearest foot, how many feet were added to the phase 1 structure of the washington monument?
Answer:
Congress immediately tabled its expected contribution of $200,000 to the Society, effectively halting the appropriation. During its tenure, the Know-Nothing Society added only two courses of masonry, or four feet, to the monument using rejected masonry it found on site, increasing the height of the shaft to 156 feet
Step-by-step explanation:
A sewing class has 185 yards of fabric to make quilts. Each quilt requires 8 yards of fabric. How much fabric will remain after all the quilts are made?
1. What is the volume of the figures pictured below?
Answer:
There are no pictures being shown
What is the domain of the following parabola?
Simplify the algebraic expression -5(6x)
Answer:
-30x
Step-by-step explanation:
The parenthesis is just to multiply, and you can combine like terms. So -5*6=-30, which you multiply with x to get -30x.
How could you correctly rewrite the equation 4(10 + 5) = 6(12 - 2) using the distributive property?
Answer:
40 + 20 = 72 - 12
Step-by-step explanation:
4(10 + 5) = 6(12 - 2)
Mutilpy 4 times 10 and 5
Mutiply 6 times 12 and -2
To the nearest tenth, what is the area
of the figure below? Use 3.14 for it.
Find the inverse function of Ax) = 2arcsinx
F1(x)=
Answer:
sin(x/2)
Step-by-step explanation:
If we have a function such that f(x) = 2arcsinx, then the inverse will occur when the domain and ranges switch... in order words, we can switch y and x and then solve for y in order to get the inverse function.
let f(x) = y
y = 2 arcsinx
x = 2arcsinf(1(x))
sin(x/2) = f1(x)