Answer:
A. {−3.5, −2, 1, 2.5}
Step-by-step explanation:
Remember that the range is the possible values for Y in any given function, so in this case, we are given the Y values and we have to solve the function for x:
y=9+6x
6x=y-9
[tex]x=\frac{y-9}{6}[/tex]
So we just insert the values, the first one being -12.
[tex]x=\frac{y-9}{6}\\x=\frac{-21}{6}\\x=\frac{-12-9}{6}\\x=-3.5[/tex]
So since from the options only A has -3.5 as an option that's the correct answer.
Joshua quick made a deposit to his checking and recieved $50 in cash. His deposit slip shows a total deposit of $90. If Joshua deposited checks worth six times the value of the coins he deposited, how much did he deposit in (a) coins and (b) checks?
Joshua deposited
(a). $12.85 in coins
(b). $77.14 in checks
Linear equation in one variable?
The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question
Joshua deposited checks worth six times the value of the coins he deposited.
Let Joshua deposit the value of coins be x. Then the value of x will be 6x
There is total deposit of $90.
⇒ x + 6x = 90
⇒ 7x = 90
⇒ [tex]x = \frac{90}{7}[/tex] =$12.85
Therefore,
[tex]6x = \frac{90(6)}{7} =\frac{540}{7}[/tex] = $77.14
Hence, he deposit total $12.85 in coins and $77.14 in checks.
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find the value of x
Answer:
[tex] \frac{28}{3x - 1} = \frac{24}{x + 7 } \\ 24(3x - 1) = 28(x + 7) \\ 72x - 24 = 28x + 196 \\ 72x - 28x = 24 + 196 \\ 44x = 220 \\ x = 5[/tex]
Find the interest on the following loan.
$5350 at 9%; loan made on August 15 and due December 18
The simple interest for this loan is $
(Round to the nearest cent as needed.)
Answer for 2020: loan maturity in days 125
Actual Interest is $164.90
Step-by-step explanation:
loan x Interest x Time (in days =Total interest
the simple interest on the loan is approximately $161.28.
To calculate the interest on the loan, we need to determine the time period in years and multiply it by the principal amount and the interest rate.
The loan period runs from August 15 to December 18, which is a total of 4 months. To convert this into years, we divide 4 by 12 (since there are 12 months in a year), resulting in 1/3 or approximately 0.3333 years.
The principal amount is $5350, and the interest rate is 9% or 0.09 as a decimal.
Using the formula for simple interest: Interest = Principal x Rate x Time
Interest = $5350 x 0.09 x 0.3333 ≈ $161.28
Therefore, the simple interest on the loan is approximately $161.28.
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What is the constant of proportionality between p and n?
Mr. Lopez teaches his classes how to make maraca
instruments by filling plastic eggshells with dried
beans. Mr. Lopez uses the equation p = 0.75n to
find the number of pounds p, of beans needed for
n classes.
Use the number pad to enter your answer in the box.
Answer:
0.75
Step-by-step explanation:
Constant of proportionality between p and n, is the ratio of both proportional quantities.
Thus, given the equation, [tex] p = 0.75n [/tex], of which Lopez uses, this equation represents the relation between both quantities.
The ratio of p and n = the constant of proportionality.
Thus:
[tex] p = 0.75n [/tex]
[tex] \frac{p}{n} = \frac{0.75n}{n} [/tex]
[tex] \frac{p}{n} = 0.75 [/tex]
Constant of proportionality = 0.75
Help please you will get 20 points
Answer:
Part B:
His measure is incorrect because the interior angles of every triangle result up to 180°. His measures (50+90+38) added up to 178; so his measures are false.
mr peters drives 266 miles in 3.5 hours what is the rate mr peters travels
Answer:
The answer is 76
Step-by-step explanation:
I just divided 266 by 3.5 - *I used a calculator*
27 sandwiches using 12 pounds
Students in a classroom have eaten 20% of jellybeans from a jar. There are now only 100 jellybeans left! How many jellybeans
were in the jar to begin with?
Answer:
125 to start with
Step-by-step explanation:
-8n - 8 = -72 what is the answer
Answer:
8
Step-by-step explanation:
[tex]-8n - 8 = -72\\-8n = -72 + 8\\-8n = -64\\n = 8[/tex]
Answer: 8
Step-by-step explanation:
Multiplying both sides by -1, we get:
8n + 8 = 72
8n = 72-8
8n = 64
n = 64/8 = 8.
is 4/10 greater than 14/35?
Answer:
Nope it is equal to
Step-by-step explanation:
if you simplify both of them 4/10=2/5 and 14/35=2/5
y = 4(x - 2)(x + 6)
what is this factored out
if f(x)=7x+2, evaluate f(x+1)-f(x)
Write the following using algebraic notation, using the letter x for any
unknown numbers:
I think of a number, add seven, then divide by five.
Answer:
(x+7)÷5
Step-by-step explanation:
since the number is unknown, it becomes X. Because we first add 7 then divide by 5, the expression will be a bracketed (X+7), followed by the division by 5. This makes sense because of the BODMAS rule to which, in coherence with the BODMAS rule, we first solve the expression in the brackets then move on outside them.
All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours. c How many hours would it take to fill the order if the number of working machines increased by factor of 4?
9514 1404 393
Answer:
5.5 hours
Step-by-step explanation:
The presumption in these cases is that the rate of doing work is proportional to the number of machines. So, 4 times as many machines can do the work 4 times as fast. That is, the same job can be completed in 1/4 the time:
(22 h)(1/4) = 22/4 h = 5.5 h
It would take 5.5 hours to fill the order.
Answer:
5.5
Step-by-step explanation:
it is 5.5 because
22 divided by 4 is 5.5
the answer is 5.5
in my class it says increased by 2 not 4
so my answer is 11
because 22 divded by 2 is 11
Which numbers have been rounded correctly to the nearest ten thousand? Choose a the correct answers.
A. 13,500 ➡️ 10,000
B. 78, 210 ➡️ 78,000
C. 620,499 ➡️ 600,000
D. 456,234 ➡️ 460,000
E. 129,302 ➡️ 129,000
F. 324,985 ➡️ 320,000
Daniel has 2 cookies, Maya has 2 Cookies. If Daniel and Maya put their cookies together how many will the have in all. Please help, I can't figure this one out.
Answer:
4 cookies
Step-by-step explanation:
2+2+=4
Answer:
I do believe that it is 4.
Step-by-step explanation:
They both have 2 cookies, and putting them together will be 4. 2 + 2 = 4
What is the degree of the following polynomial: 5x7+4x5-3x4+2x3-4x+10?
Answer:
20
Step-by-step explanation:
7+5+4+3+1=20
the degree of the polynomial is 20
What is the zero of the function that is graphed below?
Answer:
a which is -2
Step-by-step explanation:
that's the answer
Quadratic formula
x2 + 3x - 5 = 0
Answer:
2x +3x- 5= 0
5x-5=0
5x=0+5
5x=5
x=5÷5
x=1
Write the equivalent fraction with a denominator of 100.
9/10 = ?/100.
Answer:
90
Step-by-step explanation:
Find common denominators. Note that what you multiply to the denominator (bottom number of the fraction), you must also multiply to the numerator (top number of the fraction).
In this case, you are multiply 10 to both the numerator and denominator, as:
100/10 =10
Multiply 10 to the numerator:
? = 9 * 10
? = 90
90 is your answer.
~
Since the fractions are equivalent to each other, they must have the same simplified value. It means they can be multiple or divisor of each other.
Here, we have to find the numerator of the second fraction for which we have to multiply with the same number with which we multiplied the denominator.
➝ 10 × 10 = 100
The denominator was multiplied with 10, So the numerator will be multiplied with 10 too.
➝ 9 × 10 = 90
➝ [tex] \dfrac{9 \times 10}{10 \times 10} = \dfrac{90}{100} [/tex]
Thus, the required numerator is 90
Carry On Learning !
What is the degree of g(x) =5x +6x^7 - 8x^3
The degree of the polynomial is 7 as the highest power in its terms is 7.
So, the correct option is A.
What is the degree of a polynomial?The degree of a polynomial is the highest power that its terms pertain (for multi-variables, the power of term is the addition of the power of variables in that term).
Thus, in
[tex]g(x) =5x +6x^7 - 8x^3[/tex]
Hence, the degree of the polynomial is 7 as the highest power in its terms is 7.
(power and exponent are the same thing)
So, the correct option is A.
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How man ten thousand are in 440000
Convert 4 to a percent.
Step-by-step explanation:
0.04 is ur answer ..........
Where’s my smart friends??
I had $3.00.
My Mom gave me $10.00.
My Dad Gave me $30.00.
My Aunt & Uncle gave me $100.00.
I had another $7.00.
How much did I have?
Answer:
$10 Its asking how much you had not how much was given to you. So the answer is you had 10
I have $150
In order to determine the amount you have, add the amounts you are given to the original amount. This is because the money you have increases by the amounts you are given
Total sum of money = amount you have + amount given by mum + amount given by dad + amount given by uncle and aunt
$3 + $10 + $30 + $100 + $7 = $150
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What is the slope of the linear equation Y-5=3/7(x+2)
Answer:
[tex]y=\frac{3}{7} x+\frac{41}{7}[/tex]
Slope is 3/7
Step-by-step explanation:
y-5+5=3/7x+6/7+5
y=3/7x+41/7
What is 7 7//8 + 2 1/4=
Answer:
14.875
Step-by-step explanation:
77/8 = 9.625 and 21/4 = 5.25
So, 9.625+5.25 =14.875
Answer: 10 1/8
............................
If the function y = xa − 31 is a linear function, what is the value of a?
Answer:
it should be 1
Step-by-step explanation:
|4x-1|=2x+13
what does x equal
Answer:
2x+13=4x-1
2x=14
x=7
another solution
2x+13=-(4x-1)
2x+13 =-4x+1
6x=-12
x =-2
so solutions are 7,-2
Given BCM=ZYR find each missing measure
Answer:
Step-by-step explanation:
Since, ΔBCM ≅ ΔZYR,
∠B ≅ ∠Z
∠C ≅ ∠Y
∠M ≅ ∠R
And BC ≅ ZY
CM ≅ YR
BM ≅ ZR
a). CM = YR = 11 m
b). BM = RZ = 15 m
c). YZ = BC = 8 m
d). m∠B = m∠Z = 45°
e). m∠M = 180° - [m(∠B) + m(∠C)]
= 180° - (45 + 103)°
= 180° - 148°
= 32°
f). m∠Y = m∠C = 103°
The side lengths are as follows: YZ is 8, BM is 15, and CM is 11. and angle B has a measure of 45 degrees. The angle C is 103 and the angle m is 32.
What is a Congruent triangle?
Congruent triangles are two triangles that are the same size and shape. They remain congruent if we flip, turn, or rotate one of two congruent triangles. If the sides of two triangles are the same, they must have the same angles and thus be congruent.
Congruent triangles have equal corresponding sides and angles
The measure of the side lengths are: YZ = 8,BM = 15 and CM = 11
The measure of the angles is angle B = 45. angle C = 103 and angle m =32
The given parameter is:
Tri angle BCM = Triangle ZYR
This means that triangles BCM and ZYR are congruent.
So, we have the following congruent sides
YZ = CB
BM = ZR
CM = YR
so, the measure of the side lengths are:
YZ = 8
BM = 15
CM = 11
Also, we have the following congruent angles
angle B = angle Z
angle C = angle Y
angle M = angle R
the measure of the angles are
angle B = 45
angle Y = 103
The measure of angle M is calculated using:
∠M + ∠C + ∠B = 180
∠M = 32
Therefore, The measure of the side lengths is: YZ is 8, BM is 15 and CM is 11. and The measure of the angles is angle B is 45. angle C is 103 and angle m is 32.
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What is 22.5 subtract by 2.5
Answer:
The answer is 20 hope this helps
Step-by-step explanation:
22.5 divided by 2.5 = 20