Answer:
y = 9, x = -2
Step-by-step explanation:
1. (9y+4) and (11y-14) are the same size angle, so you can set them equal to each other:
9y+4=11y-14
2. Solve for y:
4=2y-14
18=2y
9=y
3. (3x+28) and 63 together are opposite to (9y+4) so you can set them equal to each other:
(3x+28)+63=(9y+4)
4. You know that y=9, so plug in 9 for y and solve for x:
3x+28+63=9(9)+4
3x+91=85
3x=-6
x=-2
93 divided by 5932 long division
Answer:
63 73/93 (steps are in the attached file)
Step-by-step explanation:
Katherine and Ivan had 96 marbles in all. Katherine lost 24 marbles to Ivan
during a game. At the end of the game, Ivan had twice as many marbles as
Katherine. How many marbles did Ivan have at first?
K. 48-24=24
I. 48+24=72×2= (144) so 144
An equation is formed of two equal expressions. The total number of marbles that Ivan had at the first is 40.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of marbles with Katherine be represented by k, while the number of marbles with Ivan is represented by x.
Given that the total number of marbles available with Katherine and Ivan is 96. Therefore, we can write,
k + x = 96
Solving the equation for k,
k = 96 - x
Further, Katherine lost 24 marbles to Ivan during a game and at the end of the game, Ivan had twice as many marbles as Katherine. Therefore, we can write the equation as,
2(k - 24) = (x + 24)
2k - 48 = x + 24
Substituting the value of k,
2(96 - x) - 48 = x + 24
192 - 2x - 48 = x + 24
192 - 48 - 24 = x + 2x
3x = 120
x = 120/3
x = 40
Hence, the total number of marbles that Ivan had at the first is 40.
Learn more about Equation here:
https://brainly.com/question/14686792
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Solve: 1/3x + 7 = 15
It cost adults $7 to get into the fair and it cost children under 11 years old $4. What does it cost for 8 adults and 4 children to get into the fair?
A $82
B $84
C $72
D $76
Answer:$72
Step-by-step explanation:7*8=56
4*4=16
56+16=72
A souvenir mug sells for $8.00 at a hotel gift store. The sales tax on the mug is $0.44.
What is the sales tax rate? (Remember, sales tax rate is a percent)
please help with this!!!
81a^2x+9a^2y-90bx-10by
Please help me with these thanks!! :)
Answer:
this one is rational and real :)
Tom wants to sell a package containing store bought candy. The package contains 15 kg of Banana Candy at $3 per kilogram, and 30 kilograms of Cherry Candy at $6 per kilogram. How many dollars per kg should he price the mixture?
Answer:
$.20
Step-by-step explanation:
15 kg / $3 = 5kg /$1
30kg/$6 = 5kg/$1
each kg would be 1/5 of a dollar, or $.20.
please helpppp me with this trig question
elisa purchased 3 containers of glitter for $6.30 each and 2 jars of glue for $4.60 each. write an expression for the total cost of supplies
what is 7 times zero and eight tenths
Answer: 5.6
Step-by-step explanation:
8x7=56
Move the decimal from 56 once to the left because there is 1 number behind the decimal.
How many tens are in 20,000? (Answer in simple words!) Example: "38 tens", or "48 tens"
A group of workers can plant at a rate of 16 hectares per day.
How many hectares can they plant in 4 days?
Answer:
They can plant 64 acres a day
Step-by-step explanation:
16 x 4 = 64
John has 3 different colored tiles. (red, blue
and green). He wants to put them into
different orders to make a pattern. How many
different patterns can he make?
Answer:you can make around 3
Step-by-step explanation:
john can make 3 different patterns because he has 3 colors for example...
pattern 1:green,red,blue
pattern 2:red,blue,green
pattern 3:blue,red,green
keep going you might find more..good luck!3. A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts
There is a proportional relationship between the amount of raisins (cups) and the amount of peanuts p (cups), in this recipe
a. Write the equation for the relationship that has constant of
proportionality greater than 1 Graph the relationship
b. Write the equation for the relationship that has a constant of
proportionality less than 1. Graph the relationship
Level: Grade 7 Mathematics
----
Steps & Solution:
1. The relationship that has constant of proportionality greater than 1
[tex]\frac{p}{r} =\frac{6}{4} =\frac{3}{2}[/tex] { the calculator of a certain proportionaility }
[tex]p=\frac{3}{2} r[/tex]
2. The relationship that has constant of proportionaility less than 1
[tex]\frac{r}{p} =\frac{4}{6} =\frac{2}{3} \\r=\frac{2}{3} p[/tex]
What are the greatest common divisors of the pairs of integers?
Answer:5
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words.
Ali has hired Mark and Alexis to work for his shipping company. Mark can
load a truck with packages in 120 minutes. Alexis can load the same
number of packages in 240 minutes.
Mark and Alexis work together on a particular truck, they can load all of the packages in
minutes.
Answer:
80 minutes
Step-by-step explanation:
Work done by Mark in 1 minute = 1/120
Work done by Alexis in 1 minute = 1/240
Work done by Mark and Alexis in 1 minute = 1/120 + 1/240
[tex]= \dfrac{1*2}{120*2}+\dfrac{1}{240}\\\\=\dfrac{2}{240}+\dfrac{1}{240}\\\\=\dfrac{3}{240}\\\\=\dfrac{1}{80}[/tex]
They both can load all the packages in 80 minutes.
.25% written as a fraction and decimal
Answer:
1/4 in fraction form, and 0.25 in decimal form.
Step-by-step explanation:
what is the partial product for 1,262 x 3
A 600 and 500
B 15 and 180
C 600 and 900
D 180 and 3000
Step-by-step explanation:
what is THE partial product ? there is a mistake in your problem description.
it must read "what are valid partial products".
1262×3 has the following partial products :
1000×3 = 3000
200×3 = 600
60 × 3 = 180
2×3 = 6
-----------
3786
so, D seems to be the best answer, because both numbers are partial products here.
A, B and C have each only one correct.
4.968 divided by 1.2
Answer:4.14
Step-by-step explanation:
Answer:4.14
all you got to do is divide miss/mister
Eric plans to rent a room for his graduation party for $400. The catering charge is $9.50 per person
and there is no charge for Eric's meal since he is the guest of honor. If Eric has $1,000 to spend on his
graduation party, what is the maximum number of friends Eric can invite?
Answer:
1000-400= 600 so 600/9.50 = Approx 63, so 63 people
irreducible fraction of -30/40
Answer:
-3/4
Step-by-step explanation:
An irreducible fraction (or fraction in lowest terms, simplest form or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and −1, when negative numbers are considered).
so
-30/40 =
-3/4
A toy store marks down all of its items by 15%. If a package of pokemon cards costs $4.99, what is the new price with the markdown? Round to the nearest cent
A.$5.14
B.$4.84
C.$4.24
D.$5.74
c because um don't you subtract 75 cents
Answer:
C)$4.24
Step-by-step explanation:
Given:
15%
$4.99
To Find:
what is the new price with the markdown? Round to the nearest cent
Solution:
To find the solution you have to subtract.
$4.99 - 15%
=
4.2415
Round to the nearest cent which gives you $4.24
Therefore, C)$4.24 is Correct
Solve this system of equations without graphing and show your reasoning
Answer:
x = 1/5
y = 6
Step-by-step explanation:
System:
{5x + y = 7
{20x + 2 = y
First equation:
5x + y = 7 -> y = -5x + 7
Plug into second equation:
20x + 2 = -5x + 7
Subtract 2 from both sides:
20x = -5x + 5
Add 5x to both sides:
25x = 5
Divde both sides by 25:
x = 5/25 -> 1/5
~~~~~~~~~~~~~~~~~~~~~~~~~~~`
Come back to the first equation:
5x + y = 7
Plus in our x:
5(1/5) + y = 7
Multiply:
1 + y = 7
Subtract 1 from both sides:
y = 6
Hope this helps, have a nice day! :D
If B = -p + 10p2 and C = 2p + 7, find an expression that equals B + 3C in
standard form.
Answer:
10p^2 + 5p + 42 = b+3c
Step-by-step explanation:
b = -p + 10p^2
c = 2p + 7
b + 3c = 5p + 10p^2+ 42
21q-7p and (3q-p)(7) determine whether each pair of expressions is equivalent. show your work
Answer:
Yes, they are equivilent because when you distributive property you get 21q-7p.
Step-by-step explanation:
paralelal line y=7x-4
perpendicular line y=2/3x-4
Answer:
M parallel = negative 7
M perpendicular = negative as 3 is the numerator and 2 is the denominator
Step-by-step explanation:
what is the value of this expression?
Answer:
20
Step-by-step explanation:
4 + [tex](m-n)^{4}[/tex] ← substitute m = 7 and n = 5 into the expression
= 4 + [tex]7-5)^{4}[/tex]
= 4 + [tex]2^{4}[/tex]
= 4 + 16
= 20
A football team loses 4 yards on one play and 3 yards on another play. Find the total amount of yards lost
The football team would loose 7 yards
Discuss inductive and deductive reasoning. Use examples to compare and contrast the two types of
reasoning. Be sure to include in your discussion an example where inductive reasoning fails.
Answer:
Deductive reasoning applies general rules to make conclusions about specific cases. Inductive reasoning observes patterns in specific cases to infer conclusions about general rules. For
Step-by-step explanation:
Example: All men are mortal. John is a man