Answer:
686.94
Step-by-step explanation:
first year, 42 interest
second year, 44.94 interest
Total=686.94
In one day a museum collected $1590 from 321 people. The price of admission is $6 for an adult and $4 for a child. How many adults and how many children were admitted to the museum?
I NEED IN STEP BY STEP SO I CAN UNDERSTAND!!!!
Answer:
153 adults and 168 children
Step-by-step explanation:
x - number of adults
y - number of children
[tex]\left \{ {{6x + 4y = 1590} \atop {x + y = 321}} \right.[/tex]
[tex]\left \{ {{6x+4y = 1590} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{6*(321 - y)+4y = 1590} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{1926 -6y+4y=1590} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{1926 -2y=1590} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{-2y=1590-1926} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{-2y=-336} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{y=168} \atop {x=321-y}} \right.[/tex]
[tex]\left \{ {{y=168} \atop {x=321-168}} \right.[/tex]
[tex]\left \{ {{y=168} \atop {x=153}} \right.[/tex]
Is it all clear?
the quotient of a number and 12 - 3 is -4
Answer:
-36
Step-by-step explanation:
12 - 3 = 9, so if the quotient of a number (let's call it x) and 9 is -4, we can create the following equation:
x ÷ 9 = -4
So, if we multiply both sides by 9, we get:
x = 9 * -4 which is -36.
What is the length of side x?
Answer:
21
Step-by-step explanation:
10.5 ÷ 3 = 3.5
3.5 × 6 = 21
Solve for x using common denominators.[tex]\frac{3}{4(x+2)}=\frac{x}{(x+2)}[/tex]
[A]-\frac{4}{3}[/tex]
[B]\frac{4}{3}[/tex]
[C]-\frac{3}{4}[/tex]
[D]\frac{3}{4}[/tex]
Step-by-step explanation:
3/(4(x+2)) = x/(x+2)
the common denominator would have to be 4(x+2).
to get the right side to this denominator, we have to multiply numerator and denominator (top and bottom) by 4.
and then we get
3/(4(x+2)) = (4x)/(4(x+2))
and now as both sides are "standing" on the same denominator, we can simply compare only the top parts.
3 = 4x
and therefore we can solve
x = 3/4
and D is then the right answer choice.
Please help! It's a quiz and I can't check the answer so it needs to be correct!!!
Answer:
the answer is jesus asdlkfjsfs
I need help plz it’s for school plz plz
Answer:
y = 3x + 1
Step-by-step explanation:
plz help i will give brainiest
Graph the arithmetic sequence -1,-3,-5,-7,
Answer:
going up by 2 numbers
Step-by-step explanation:
How do I know which region to shade for this inequality
y ≤ 2x + -4?
Answer:
You look at the sign between y and 2x
Step-by-step explanation:
To find which way to shade, look at your symbol. The symbol you have is a less than or equal to, you shade to the left. Because it has the line underneath, you have a closed circle. (This is for line plots so I don't know if this completely helps)
Hopefully it does help though!!
Angie and her friends are heading to the Glacier Heights snow park. They plan to purchase the Glacier group package, which costs $76 for 8 people. That's $2 less per person than the normal cost for an individual. What is the normal cost for an individual?
Answer
The normal cost would be $11.50
Number Explanation
1) 76 ÷ 8 = 9.5
2) 9.5 + 2 = 11.5 or 11.50
Word Explanation
First, I divided the total cost 76 by the number of people 8, to find out how much it costs per person. I got 9.5! Next, I added 2 to 9.5 because in the problem it said this is $2 less than the normal cost per person. I got 11.5! That was my answer.
Select all the equations that are true when x = 6.
6x = 12
17 – x = 11
x ÷ 2 = 3
19 ÷ 3 = x
5 + x = 11
Answer:
everything but the 4th are true
Step-by-step explanation:
fax
Answer:
B,C,E
Step-by-step explanation:
You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon for the blue car?
Help pls
Brainlist
x+6=0
3x-2y = 10
simultaneous equations
Simplify the following expression.
-14 × 3
A.
-42
B.
-56
C.
42
D.
-17
Answer:
The answer would be A. -42
What is 3.468 rounded to the nearest tenth of an ounce?
Answer:
3.5
Step-by-step explanation:
The tenths place would be 0.1
So in 3.468 the 4 is in the tenths place
Look at the number to the right of it, if it is greater than 5 you round up and if it is 4 or lower you stay the same.
For 3.468 you would round up
So you would have 3.5
Have A GREAT day man
Sincerly, lipor
Select all of the expressions which are equivalent to-4/3p-2/5
Answer:
-2/5 -4/3 p and -4/3p+ (-2/5)
Jada's grandparents started a savings account for her in 2010. The table shows the
amount in the account each year.
year
amount in dollars
2010
600
2012
750
2014
900
2016
1050
If this relationship is graphed with the year on the horizontal axis and the amount in
dollars on the vertical axis, what is the vertical intercept?
Find the selling price for each item given the cost and the percent of the markup or discount.
flat-screen TV: $669; 23% markup
A. $153.87
B. $692
C.515.13
D.822.87
8.
Write the equation of the parabola in vertex form.
A. y = –x^2 + 4
B. y = –x^2 + 3
C. y = –(x – 1)^2 + 3
D. y = –x^2 – 4
Answer:
A. y = –x^2 + 4
Step-by-step explanation:
Find the vertex form.
y = − ( x + 0 ) 2 + 4
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
( 0 , 4 )
Focus:
( 0 , 15 /4 )
Axis of Symmetry:
x = 0
Directrix:
y
=
17
4
x
y
−
2
0
−
1
3
0
4
1
3
2
0
Annie's math test had 25 questions. She got 84% correct. How many problems did she get wrong?
what does n mean in -10(n-5)=40
Answer:
Divide both sides by -10
-10n+2=40
subtract 2 from both sides so
40-2=38
10n/10= 38/10
3.8 = n
Step-by-step explanation:
Weight is a measure of force affected by gravity. The Moon's
gravity is less than Earth's gravity, so objects weigh less on
the Moon than on Earth.
Using the information provided, how much do you think
a cat will weigh on the Moon? Explain your reasoning.
Tell it step by step
I think I need to know what the cat weighs first...
fill in the blanks ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment for question
Answer:
See belowStep-by-step explanation:
If two triangles are congruent, then the corresponding sides and angles are congruent with each other.
Given:
ΔRED ≅ ΔSUNThe following are congruent parts:
∠E ≅ ∠URE ≅ SU∠DRE ≅ ∠NSU∠R ≅ ∠SNote Pay attention to order of vertices when comparing the congruent parts
[tex]\\ \sf\longmapsto <E\cong <U[/tex]
[tex]\\ \sf\longmapsto \overline{RE}=\overline{SU}[/tex]
[tex]\\ \sf\longmapsto ∆DRE=∆SUN[/tex]
[tex]\\ \sf\longmapsto <R\cong <S[/tex]
Hope it helps
Round 4.789473684 Please
Please hurry and actually help!
Answer:
4.79 or 4.789
Step-by-step explanation:
the first answer is if you need to round to the nearest hundredth, the second if you need to round to the nearest thousandth. you didn't tell us which was correct so I put both
the initial number of bacteria in a culture is 12,000. the xulture doubles each day write an exponential functin to model the population Y of bacteria after X days Which will be used to determine how many bacteria are present after 15 days
Answer:
Step-by-step explanation:
The equation would be y=12000(2)ˣ.
This equation is of the form y=a*bˣ, where a is the initial population and b is the rate that it increases by. In this problem, a = 12000 and b=2, since it doubles each time.
brainlest
Tom walks 3.14 km to the park. He then walks a further 670 m to the shop.
How many km has Tom walked in total?
Answer:
3.81 km
Step-by-step explanation:
You first have to get the meters into kilometers. The conversion rate for this is 1 meter = 0.001 kilometer.
So multiply 670 by 0.001 which gives you 0.67.
Then add this to the amount he has already walked to get the total amount of kilometers he has walked.
Answer:
3.81 or
[tex]3 \frac{81}{100} [/tex]
Step-by-step explanation:
explanation above
The equation of line l is y=2/3x+5. The equation of line m is y=3/2x−1. What is the relationship between the two lines?
Answer:
If there is not a typo and you aren't missing a minus sign on the slopes, l and m are simmetrical relative to the line [tex]y=x+\frac{13}5[/tex]
If there is a typo nad one of the slopes is negative, they're perpendicular.
Step-by-step explanation:
The product of the slope is 1 -unless you forgot a minus sign somewhere.
In general, two lines of the form [tex]y=kx ; y= \frac1k x[/tex] are simmetrical relative to [tex]y=x[/tex]. Alas, the intercepts are different, but it's easy to spot by drawing them that they would be simmetrical to the parallel to [tex]y=x[/tex] passing through their intersection, by translation. Let's find that point
[tex]\frac23x +5 = \frac32x-1\\4x+30 =9x-6 \rightarrow 5x=36 \rightarrow x= \frac{36}5\\y=\frac 23(\frac{36}5)+5 = \frac{24}5 + \frac{25}5 = \frac{49}5[/tex] Their simmetry line - which is also their angular bisector! - is [tex]y=x+\frac{13}5[/tex]
If Rebecca Picked 20 apples and gave away 10 and got 30 more back. How many does she have now?
40
If she picked 20 apples and gave away 10, she would have 10 apples. But if she got 30 more apples, she would have 40 apples
Hope this helps!!! If so please give brainliest
Maki~
Answer:
40 apples
Step-by-step explanation:
20 apples-10 apples+30 apples=
10 apples+30 apples=40 apples
Marty can dig a 10 ft trench in 90 minutes. Chris can dig a 10 ft trench in 110
minutes. If they work together, how quickly could they dig the trench?
A)100 minutes
B)42.6 minutes
C)49.5 minutes
D)155 minutes
Answer:
"minutes" (and any subsequent words) was ignored because we limit queries to 32 words.
Step-by-step explanation:
b. po
If they work together, they need 47 minutes to dig the trench.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, Marty can dig a 10 ft trench in 90 minutes. Chris can dig a 10 ft trench in 110 minutes.
Marty can dig a 10 ft trench in 90 minutes, and in one minute
10 ft = 90
1 ft = 90/10
1ft = 9 minuted
If Chris can dig a 10 ft trench in 110 minutes, and in one minute
10 ft = 100 minute
1 ft = 100/10
1 ft = 10 minute
If they worked together x minute needed to dig 1 ft,
1/x =1/9+1/10
1/x=1/9+1/10
1=19/90 x
90x=19
x=90/19
x=4.7 minute
For 10 feet,
x = 47 minute
Thus, if they work together, they need 47 minutes to dig the trench.
Learn more about the equation here,
https://brainly.com/question/1041325
#SPJ2
will give brain for right answer
Answer:
luna
Step-by-step explanation:
compare the y values when x=0. looking at the table, gracey was 1 lb at week 0, and looking at the graph, Luna was 2 lbs at week 0 (y-intercept) so luna was heavier at birth
5. Write the following numbers in order from least to greatest. 1.23; 1.2; 2.31; 3.2