Using a system of equations, it is found that the ratio of Jessica's age to India's age is of 2.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Harley's age.Variable y: India's age.Variable z: Jessica's age.Harley is 8 years younger than India, hence:
x = y - 8.
Jessica is three times older than Harley, hence:
z = 3x.
The sum of the three ages is 88, hence:
x + y + z = 88.
x + x + 8 + 3x = 88
5x = 80
x = 16.
Hence:
y = x + 8 = 24.
z = 3x = 48
The ratio of Jessica's age to India's age is given by:
z/y = 48/24 = 2.
More can be learned about a system of equations at https://brainly.com/question/24342899
I also need help with these! It would mean a lot.
Please help with this its really hard :(
Answer:
24sq cm
Step-by-step explanation:
How do I find the lengths of JK and JM?
Answer: Jk is 5 units and JM is 6 units. Have a great day.
Answer: j k is 5 and j m is 6 I think
Step-by-step explanation:
HELP ASAP
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9
Answer: The range of the function is all real numbers less than or equal to 9
Step-by-step explanation:
Use the distributive property to simplify 3(4x+8).
a) 7x + 8
b) 7x + 24
c) 12x + 8
d) 12x + 24
Answer:
d) 12x + 24.
Step-by-step explanation:
3(4x+8)
= 3*4x + 3*8
= 12x + 24.
The Distributive Property states the following:-
[tex]\bigstar{\boxed{a(b+c)=ab+ac}}[/tex]
So we distribute a by multiplying it times b & c.
Now, let's simplify the given expression:-
[tex]\bigstar{\boxed{3(4x+8)=12x+24}}[/tex]
Hence, Option D) is correct!
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Find the area please!
*you can use decimals if needed*
Answer:
116 km squared
Step-by-step explanation:
When you get crazy shapes like this, try and look for the basic ones inside (i.e. triangles, rectangles, etc.) I can find one big triangle and two rectangles, one small and one larger. Vide the attatchment for reference.
Step 1. Find the missing variables, x, y, and z
y = 2
x = 6 - 2 = 4
z = 8 + (4) + 2 = 14
Step 2. Find the area of each shape
Triangle:
Area = bh/2 = (8 x 14)/2 = 56 km sq
Big rectangle:
Area = bh = 8 x 6 = 48 km sq
Small rectangle:
Area = bh = 2 x 6 = 12 km sq
Step 3. Add all the areas together
56 + 48 + 12 = 116 km sq
I hope this helps!
The illustration below shows the graph of
y
yy as a function of
x
xx.
Complete the following sentences based on the graph of the function.
(Enter the
x
xx-intercepts from least to greatest.)
This is the graph of a
function.
The
y
yy-intercept of the graph is the function value
y
=
y=y, equals
.
The
x
xx-intercepts of the graph (in order from least to greatest) are located at
x
=
x=x, equals
and
x
=
x=x, equals
.
The greatest value of
y
yy is
y
=
y=y, equals
, and it occurs when
x
=
x=x, equals
.
For
x
xx between
x
=
2
x=2x, equals, 2 and
x
=
6
x=6x, equals, 6, the function value
y
yy
0
00.
This is the graph of a NON-LINEAR FUNCTION
The y intercept of the graph is the function value y=-6
The x intercepts of the graph are located at x=2 and x=6
The greatest value of y is y= 2 and it occurs when x=4
For x between x=2 and x=6, the function value y≥0
Hope this helped :>
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
a) Team C - lowest average/mean
b) Team A - greatest variability/range
Step-by-step explanation:
Hope this helps!
Write the equation of the line that passes through the points (-2, 3) and (-2,5).
A. Y=1/2x+1
B. X=-2
C. Y=-2
D. Y=5
Answer:
Answer is B. X=-2
Step-by-step explanation:
I just used the slope formula and slope-intercept y = mx + b to find the equation
Please help me with this please and thank you
Answer:
L bozo
Step-by-step explanation:
ur whole life is an L
GRADE 9 maths! due tonight please help!!
join all the points form -4 to 4
the answer for table is
(-4,-4) (-3,-3) (-2,-2) (-1,-1) (0,0) (1,1) (2,2) (3,3) (4,4)
15. Graph the line 3 y - 2x = 3 on the axes provided. At what value of x does the line you graphed intersect the line y = 5. Show how you determined your answer. th 6 noints
Answer:
x=6
Step-by-step explanation:
3*5-2x=3
15-2x=3
15-3=2x
12=2x
6=x
On a number line, which fraction is between 1/4 and 1/5?
Answer:
7/32
Step-by-step explanation:
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
To find a fraction between 1/4 and 1/5:
1. Make common denominators with both fractions. The larger the common denominator, the more you will find.
2. Choose any fraction between 1/4 and 1/5. That fraction will be in between 1/4 and 1/5.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
[tex]\dfrac{1}{4}\ \text{and }\dfrac{1}{5} \ \rightarrow \ \dfrac{1 \times 40}{4 \times 40} \ \text{and} \ \dfrac{1 \times 32}{5 \times 32} \ \rightarrow \ \dfrac{40}{160} \ \text{and} \ \dfrac{32}{160}[/tex]
Now, you may choose any fraction between 40/160 and 32/160.
My chosen fraction is 35/160, which when simplified, gives 7/32.
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Answer:
[tex]\dfrac{9}{40}[/tex]
Step-by-step explanation:
Subtract 1/5 from 1/4, divide by 2, then add to 1/5:
[tex]\implies \dfrac{\frac14-\frac15}{2}+\dfrac15[/tex]
[tex]\implies \dfrac{\frac{5}{20}-\frac{4}{20}}{2}+\dfrac15[/tex]
[tex]\implies \dfrac{\frac{1}{20}}{2}+\dfrac15[/tex]
[tex]\implies \dfrac{1}{20} \times \dfrac12+\dfrac15[/tex]
[tex]\implies \dfrac{1}{40}+\dfrac15[/tex]
[tex]\implies \dfrac{1}{40}+\dfrac{8}{40}[/tex]
[tex]\implies \dfrac{9}{40}[/tex]
What is the surface area of a square pyramid with a base with a width 6 and a triangular height of 8?
Answer:
A≈138.53
Step-by-step explanation:
A=a^2+2a √a^2/4+h2
Which of the following is NOT a statistical question?
A) How many pets are owned by my uncle?
B) How many pets are adopted in a pet store each week?
C) How many pets are owned by the individual teachers in my school?
D) How many pets are owned by the individual students in a karate class
Answer:
A) How many pets are owned by my uncle.
Step-by-step explanation:
This question is NOT statistical because it has a definite answer.
There is one number that can represent how many pets are owned by let's say your uncle.
On the other hand, B, C, and D compare two different things.
Hope this helps!
The relationship between women's whole
number shoe sizes and foot length forms an
arithmetic sequence, where is the foot
length in inches that corresponds to a shoe
size of n. A women's size 3 lits a foot 8 inches
long and women's size 7 lits a fool
9
inches long
What is the common difference of the arithmetic
sequence?
Using arithmetic sequence concepts, it is found that the common difference is of 0.25.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem, we have that:
[tex]a_3 = 8, a_7 = 9[/tex]
Hence:
[tex]a_7 = a_3 + (7 - 3)d[/tex]
9 = 8 + 4d
4d = 1.
d = 0.25.
The common difference is of 0.25.
More can be learned about arithmetic sequence concepts at https://brainly.com/question/6561461
Solve for h. h - 45 = -35A.h = -10B.h = 10C.h = -80D.h = 80
PLS HELP HURRY
which name gives the most information about the shape below
Rhombus
Trapezoid
quadrilateral
Parallelogram
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answer:
Mode: 7
Range: 6
Step-by-step explanation:
Think of the M and O in "mode" as "most often." The mode is the number that appears more than any other.
Range is the difference (subtraction) between the smallest number and largest number in the data. So we have 3, 5, 5, 7, 7, 7, 7, 7, 8, 8, and 9. We take the largest number, 9, and subtract the smallest number, 3, from it.
9-3 = 6
In the future, if you come across "median," that means to put all of the numbers in order from least to greatest and whatever number is in the middle will be the median. Think of the median of a road, which is at the center. The median in this data set would be 7. If you have two different numbers in the center, find the number between those two. For example: if the two median numbers were 7 and 8, the median would be 7.5.
The mean is the sum of all of the numbers, divided by two. So for this data set, you would do 3+5+5+7+7+7+7+7+8+8+9. Then, you would take the total and divide it by 2.
73 / 2 = 36.5
For each item, find the product of the complex number and its complex conjugate. Show your work.
(a) 10-14i
(b)-5-12i
(c) 8+3i
(d) - 9-5i
Answer:
114
Step-by-step explanation:
Here is the first one.....you should be able to do the others
(10-14i)(10+ 14i) expand
100 + 140i - 140i - 14i^2
100 - 14i^2 remember i = sqrt (-1) so i^2 = -1
100 - (14 *-1)
114
Find X and y
12, 16
Answer:
x = 6√2y = 6√6Step-by-step explanation:
The triangles are all similar, so corresponding sides are proportional.
__
xlong side/short side = x/6 = 12/x
x² = 72 . . . . . . . multiply by 6x
x = 6√2 . . . . . . take the square root
__
yhypotenuse/long side = y/12 = (12+6)/y
y² = 216 . . . . . multiply by 12y
y = 6√6 . . . . . take the square root
Please help
rank the electric potential energy of the charged particles from highest to lowest.
a. 1,2,3,4
b. 2,3,1,4
c. 4,2,3,1
d, 1,3,2,4
Answer:
1,2,3,4 on edge
Step-by-step explanation:
Use 3.14 for to find The radius of a circle is 1 yard. What is the circle's area?
Answer:
9.42.
Step-by-step explanation:
If you have 3.14 × 3 You would put it over as an equation.
3.14
× 3
----------
9.42 is final answer.
PLEASE HELP WILL MARK BRAINLIST
If the ratio of the rectangular prisms' volumes is 1:8, what is j?
The price of a house increased from $340,000 to $550,000. what is the percent increase?
Answer:
61.7647% increase to be exact,
but the rounded answer is about 62%, or 61.8% rounded to the nearest tenth.
Step-by-step explanation:
do final value - starting value and divide by starting value times 100%
I need this today
pls help
Answer:
5. radius= TD
inscribed angle =RQS
diameter =TA
6. radius=SY
secant=TU
Tangent=S
VA Tech offers four applied majors and monitors the number of students in each.
There were 36 students in applied majors. How many more of them were in electronics than in architecture?
Type only the numeric answer.
Answer:
3Step-by-step explanation:
Number of students in electronics, 1/4 of the total
36*1/4 = 9Number of students in architecture, 1/6 of the total
36*1/6 = 6The difference is
9 - 6 = 3Which system of linear equations represents the situation?
The Martin family pays $12 per hour to a babysitter. They also give her
a $7 tip. The Bagley family pays $15 per hour to a babysitter. The
Bagley family's babysitter pays $8 to order a pizza.
Let h represent the number of hours of babysitting and m represent
the total amount of money each babysitter earns.
Answer:
so many just add them 12+7+15+8=
Answer:
m=12h+7
m=15h-8
Michael collects baseball cards. His cousin gave him 267 cards when he gave up his own hobby. 23 of them were duplicates of cards Michael already has so he put them aside for trading. How many new cards did he add to his collection?
pls help asap!!!!!!!
Answer:
[tex]3\cdot \frac{1}{2},\:\frac{21}{7},\:\pi ,\:4.1[/tex]
Step-by-step explanation:
convert the number to all decimals or fraction and compare.