Answer:
child: 14
Adult : 2
Step-by-step explanation:
2A + 3C = 46------------eqn 1
3A + 5C = 76------------eqn 2
eqn 1 x 3 : 6A + 9C = 138----------- eqn 3
eqn 2 x 2: 6A + 10C = 152-----------eqn 4
eqn 4 - eqn 3: 1OC - 9C = 152 - 138
1C = 14
subst 1C = 14 into eqn 1
2A + 3(14) = 46
2A = 46 - 42
2A = 4
1A = 2
A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 3 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
This would make a right triangle. Use the Pythagorean theorem to solve.
X = sqrt(14^2+ 3^2)
X = sqrt( 196 + 9)
X = sqrt(205)
X = 14.3178
Rounded = 14.3 miles
I need help ASAP I shall give brainlyist (idk how to spell)
Answer:
12 cm
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter is 6 so the radius is d/2 = 6/2 = 3
108 pi = pi (3)^2 h
108 pi = 9pi h
Divide each side by 9pi
108 pi /9pi = 9pi h/9pi
12 = h
Answer:
12cm in height
Step-by-step explanation:
A student is given three triangles and must determine which triangles are
congruent. The student is also told that C = D = Y. Which of the
following statements is true? Justify your answer.
Answer:
the answer is B, because triangle BCA is a rotation of triangle XYZ.
Step-by-step explanation:
PLEASE HELP MEEEEE ITS VERY UGRENT
Answer:
4.75
Step-by-step explanation:
u = 10 a = -2 t = 0.5 (half)
need to work out u times t add 0.5 times a times t ^2
so 10 x 0.5 + 0.5 x -2 x 0.25
= 4.75
Answer:
s=4.5 m
Step-by-step explanation:
in the equation s=ut+1/2at squared, u=10, a=-2, and t==1/2. So substitute the given values by the units u, a and t.
[tex]s=ut+\frac{1}{2} at^{2} \\s=10*\frac{1}{2}+-2*\frac{1}{2}^{2}\\ s=5+(-2)*\frac{1}{4}\\ s=5+\frac{-2}{4}\\ s=\frac{5*4-2}{4}\\ s=\frac{20-2}{4}\\ s=\frac{18}{4}\\ s=4.5 m[/tex]
Find the length of the third side to the nearest tenth.
5
1
Answer:
square root of 26 (sorry couldn't get the symbol)
Step-by-step explanation:
C^2 = A^2 + B^2 (Pythagoras Theorem)
C^2 = 5^2 + 1^2
C^2 = 26
take square root of both sides
C =
[tex] \sqrt{26} [/tex]
the one who answered it first will be marked brainliest and with correct sollutio and working
Answer:
2.375m
Step-by-step explanation:
Length of box = 8 m
Width of box = 3 m
Height of box = 2.4 m
It initially contains water of volume 37 m³. 20 m³ of water is added to it.
So, New volume = 37+20 = 57 cubic m
Volume of water = Length \times Width \times Height = 8 \times 3 \times Height
So, 8 x 3 x height = 57
Height = 57/ 8x3
Height =2.375 m
hence the depth of the water in the through after 20 m³ of water is added to it is 2.375m
Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify. 5/5+√10x
Answer:
The equivalent fraction is: [tex]\frac{5-\sqrt{10x} }{5-2x} }[/tex]
which agrees with the second answer in the list of options
Step-by-step explanation:
Recall that in order to rationalize a denominator of this type (remove the square roots), we need to multiply numerator and denominator of the fraction we have by the conjugate of the binomial. That is, multiply top and bottom of the fraction by the expression:
[tex]5-\sqrt{10\,x}[/tex]
Therefore we have:
[tex]\frac{5}{5+\sqrt{10\,x} } =\frac{5\,(5-\sqrt{10x} )}{(5+\sqrt{10\,x})\,(5-\sqrt{10x})} =\frac{5\,(5-\sqrt{10x} )}{(25-10x)} }=\frac{5\,(5-\sqrt{10x} )}{5\,(5-2x)} }=\frac{5-\sqrt{10x} }{5-2x} }[/tex]
Then this is the equivalent rationalized expression:
[tex]\frac{5-\sqrt{10x} }{5-2x} }[/tex]
Answer:
B.
Step-by-step explanation:
A P E X
i need help pls, i would appreciate it !!
Answer:
a. x = 1.2, b. A = 32.1°
Step-by-step explanation:
1.41²-.75²=x²
a. x = 1.2
sin A = 0.75/1.41
b. A = 32.1°
Which fraction is less than the fraction represented by the model?
Answer:
fraction represented by model = 5/8
fraction less than model = 2/4
The fraction that is less than the fraction represented by the model is 2/4, the correct option is D.
What is a Fraction?A fraction is a number that is the part of the whole.
It is represented in the form of p/q, where q is not equal to zero.
The figure has a circle in which sections have been divided.
There are some shaded sections and some non-shaded sections.
The number of shaded section is 5.
The number of non-shaded section is 3.
The total sections are 8.
The fraction that is represented by the model is 5/8.
The model shown is a visual way to represent and understand fractions.
The fraction = 0.625
The fraction in the options are,
3/4 = 0.75
11/16 = 0.6875
13/16 = 0.8125
2/4 = 0.5
0.5 < 0.625
2/4 < 5/8
To know more about Fraction
https://brainly.com/question/10354322
#SPJ5
If you're reproducing a 4 cm x 4 cm picture on a 3 m x 3 m wall, what ratio should you use?
Answer:
So you can divide by 2 for the picture. 4/2 = 2
So you can get 2 x 2 picture. The ratio would be 1
if you have a variable it would always be
x by x.
If you want to cover whole wall multiply by 4/3 on the 4 x 4 picture
The original needs to be scaled up by a factor of 75.
Given that, reproducing a 4 cm × 4 cm picture on a 3 m × 3 m wall.
We need to find what ratio we should use.
What is the ratio?Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.
We know that 1 m=100cm, then 3 m=300 cm.
The picture on the wall is (300 cm)/(4 cm) = 75 times as large in each dimension as the original.
Therefore, the original needs to be scaled up by a factor of 75.
To learn more about the ratio visit:
https://brainly.com/question/13419413.
#SPJ2
Given the points (-2,-4) and (-3,-5) what is the slope
Answer:
1/1
Step-by-step explanation:
is x^2 + y^2 = 5 a function
Answer:yes
Step-by-step explanation:
A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the redius of the bubbles is about 0.7 mm. According to the formula below, what would be the volume of one of these bubbles?
Answer:
0.267[tex]mm^3[/tex]
Step-by-step explanation:
Radius of the Bubble = 0.7 mm
Volume of the bubble is given by the formula :
[tex]r=\sqrt[3]{\frac{3V}{4\pi } }[/tex]
Taking cube on both sides
[tex]V=\frac{4\pi\times r^3 }{3}\\\\ V=\frac{4\times3.14\times(0.7)^3}{3}\\\\V=\frac{12.56\times 0.064}{3}\\\\ V=\frac{0.804}{3}\\\\V=0.267mm^3[/tex]
Question 9
1) Which number is a rational number?
134
49
9
13
2
16
Answer: all of them
Step-by-step explanation:
Rational numbers are represented as dividing two integers, which is a fraction or decimal. Therefore, the numbers stated (134, 49, 9, etc.) are rational numbers since they are all whole numbers.
A circle with center (-1, 2) and radius of 8 has the equation
Answer:
c)
Step-by-step explanation:
The equation of the circle that has a center (-1, 2) and radius of 8 will be (x + 1)² + (y – 2)² = 64. Then the correct option is D.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x – h)² + (y – k)² = r²
A circle with center (-1, 2) and radius of 8.
Then the equation of the circle will be
(x – h)² + (y – k)² = r²
(x + 1)² + (y – 2)² = 8²
(x + 1)² + (y – 2)² = 64
Thus, the equation of the circle that has a center (-1, 2) and radius of 8 will be (x + 1)² + (y – 2)² = 64.
Then the correct option is D.
Learn more about the equation of a circle here:
https://brainly.com/question/10165274
#SPJ5
Helpp pLZZZZ
Jack can mow the baseball grounds in 2 hours; Mike can mow the same grounds in 3 hours; and Chris can mow the grounds in 4 hours. How long will it take to mow the baseball grounds if Jack, Mike, and Chris work together?
Leave your answer in proper fraction form, then round to 1 decimal place.
Using your rounded answer, how many minutes would that be?
Answer:
1hr 37min 18 sec
Step-by-step explanation:
Jack can mow the baseball grounds in 6 hours
Jack rate = 1/6 job/hr
-------------------------------
Mike can mow the same grounds in 5 hours
Mike rate = 1/5 job/hr
-------------------------------
Chris can mow the grounds in 4 hours.
Chris rate = 1/4 job/hr
-------------------------------
Together rate = 1/x job/hr
----------------------------------
Equation:
rate + rate + rate = together rate
[ 1/6 + 1/5 + 1/4] = 1/x
x[(5*4 + 6*4+ 6*5)/(6*5*4)] = 1
----
x(74/120) = 1
x = 120/74 = 1.62 hours = 1 hr 37 min 18 sec
Geometric mean is used to determine the scale of objects.
False
True
Finn's pool leaked a total of 3.5 liters in 4 days. What rational number represents the average change in water volume each day?
Answer:
The rational number representing the average change in the volume of water each day is:
[tex]\frac{0.875 liters}{1 day}[/tex]
Step-by-step explanation:
Rational numbers are those that can be represented as the quotient of two integers. That is, rational numbers can be represented by a fraction [tex]\frac{a}{b}[/tex], where a is the numerator and b is the denominator that must be other than zero. To express the set of these numbers, mathematicians use a capital Q.
In this case we know that Finn's pool leaked a total 3.5 L in 4 days, so the rate can be written as:
[tex]\frac{3.5 liters}{4 days}[/tex]
Now you must make this division or quotient, where the denominator will be 1 because you must know the number of liters drained per day:
[tex]\frac{3.5 liters}{4 days}=\frac{0.875 liters}{1 day}[/tex]
So the rational number representing the average change in the volume of water each day is:
[tex]\frac{0.875 liters}{1 day}[/tex]
How would you go on dividing 7/893
Answer:
0.00783874
Step-by-step explanation:
7/893= 0.00783874
I just put it in the calculator
PLEASE HELP WILL MARK BRAINLIEST
Eight students were asked how many books they read last summer. Their answers are shown in the line plot below.
Find the range and the mode for the data.
(a)range:
(b)mode:
Answer:
(a). Range is 6 (b). Mode is 5.75
Step-by-step explanation:
Finding range: Subtract the smallest value (2) from the largest value (8).
Finding mode: Add all the values (for each "x" you add the value that it corresponds to) and then divide them by the number of x's.
While training for an Ironman competition, Johnson swam 0.86 km, biked for 22.4 km, and ran 4.25 km. Johnson completed this routine twice a week. How far did Johnson travel in one week while training, in meters?
Answer:
55020 metres
Step-by-step explanation:
Johnson swam 0.86 km, biked for 22.4 km, and ran 4.25 km. He did this twice a week.
To find the total distance traveled in one week in metres, we first add up the distances and multiply by 2 and then convert to metres.
The sum of the distances is:
0.86 + 22.4 + 4.25 = 27.51 km
Multiply by 2:
27.51 * 2 = 55.02 km
1 km = 1000 metres
55.02 km = 55.02 * 1000 = 55020 metres
He traveled 55020 metres while training.
The arithmetic mean if ui = xi - 25 / 10 sigma fiui = 20 and sigma fi = 100 is
Answer:
27Step-by-step explanation:
Given the formula ui = xi - 25 / 10
Note that the general formula for calculating ui = xi-A/n where;
A = assumed mean
n = class size
On comparison with the given equation, A = 25 and h = 10
Also arithmetic mean x = A + {h * sigma(fiui) /sigma(fi)} where;
sigma(fiui) = 20 and sigma fi = 100
Substituting the given value to get the mean x;
x = 25+ (10*20/100)
x = 25 + (200/100)
x = 25 + 2
x = 27
The arithmetic mean is 27
Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate? Joshua's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%? Explain.
Answer: Yes it's possible for Joshua to meet his goal of having $5,000 after 4 years.
Step-by-step explanation:
From the question, Joshua has $4,200 to invest for college which he invests $4,200 for 3 years and earns $630.
Interest = (Principal × Rate × Time)/100
630 = (4200 × R × 3)/100
630 = 12600R/100
12600R = 630 × 100
12600R = 63000
Interest rate =63000/12600 = 5%
Joshua's goal is to have $5,000 after 4 years. Is this possible if he invests with a rate of return of 6%?
Interest = (Principal × Rate × Time)/100
Interest = (4200 × 6 × 4)/100
= 100800/100
= $1008
At the end of 4 years, Joshua will have:
= $4200 + $1008
= $5208
Yes it's possible.
perform the indicated operation 5/11 + 9/11
Answer:
It would be 14/11
when you make it a mixed number, it'll be 1 3/11
Step-by-step explanation:
You can't simplify it more than 3/11 so
1 3/11
Anyone know the answer
Answer:
3
Step-by-step explanation:
72/9 = 8 ( The quotient of 72 and 9)
8-5 = 3 (Decrease by 5)
what is the definition for congruent arcs
Answer:
"If two arcs are both equal in measure and they're segments of congruent circles, then they're congruent arcs"
Step-by-step explanation:
find the perimeter of diameter 3.5 cm
Answer: I am assuming it’s of a circle? So the answer would be rounded to 11.
Step-by-step explanation:
Melanie is walking a path around a circular path to view all of the artwork painted on the cement edge. The circular fountain has a radius of 30 feet. If Melanie only walked around the fountain once, how far did she travel?
how do i simplify 7(1+6x)
Answer:
7+42x
Step-by-step explanation:
7(1+6x)
Distribute
7*1 + 7*6x
7+42x
Answer:
7 + 42x
Step-by-step explanation:
Use the distributive property
7 + 42x
If x = 2 and y = 4, then (2x + 3y) ÷ 4 - 2 =
A) 10
B) 9
C) 8
D) 2
WILL MARK BRAINLIEST
Answer:
Answer is option d) 2
Step-by-step explanation:
[tex]given \: that \: x = 2 \: \: \: and \: \: \: y = 4 \\ value \: of \: \frac{2x + 3y}{4} - 2 \\ = \frac{2(2) + 3(4)}{4} - 2 \\ = \frac{4 + 12}{4} - 2 \\ = \frac{16}{4} - 2 \\ = 4 - 2 \\ = 2[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
For the given expression (2x + 3y) ÷ 4 - 2, If x = 2 and y = 4, the value of expression is, 2
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The expression, (2x + 3y)/4 - 2
The value of expression, when x = 2 and y = 4
⇒ (2×2 + 3×4)/4 - 2
⇒ (4+12)/4 -2
⇒ 16/4 - 2
⇒ 2
Hence, the value of expression is 2
To know more about Expressions check:
brainly.com/question/16804733
#SPJ2