Answer:
x = -2
Step-by-step explanation:
simplify: 4( x + 20) = 12 --- 4x + 20 = 12
cancel out: subtract 20 from each side
you get: 4x = -8
divide each side by 4: you get x = -2
2 [ 32 - (4-1) to the third power ]
Answer:
The correct answer is 10 hope this helps can u pls give me brainliest
Step-by-step explanation:
The solution of the given expression is 10.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.
A Simplification usually involves making the expression simple and easy to use later.
WE have been given 2 [ 32 - (4-1) to the third power ]
Solving it further;
2 [ 32 - (4-1) to the third power ]
2 [ 32 - (4-1)^{3} ]
2 [ 32 - (3)^{3} ]
2 [ 32 - 27 ]
2 [5]
10
Therefore, the solution of the given expression is 10.
Learn more about simplification;
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Carl runs 1 mile (mi) in 10 minutes. How long will it take him to run 24 mi at the same speed?
1. 24 min
2. 34 min
3. 2.4 hours
4. 4.0 hours
in OPQ, the measure of Q=90°, the measure of O=48°, and QO = 4.9 feet. Find
the length of PQ to the nearest tenth of a foot.
Answer: x=5.442≈5.4 feet
Answer:
5.9
Step-by-step explanation:
Matt walked 1 mile in 15 minutes.
At this rate, how many miles would
he walk in 2 hours?
HELP PLS
Answer:
8 miles he will walk in 2 hours
Step-by-step explanation:
This is because there are four 15 minute sets in one hour meaning in two hours you will encounter 8 of these sets.
Answer:
8 miles
Step-by-step explanation:
we can get the answer using the distributive property, if we multiply 4 by 15 we get 60 and 60 minutes is an hour so if we do that twice we get 2 hours so now that we've done that we will do the same with the mileage by multiplying the amount we did to the time to the distance and we get 8 miles
If the cost of 8 pizzas is $74, what is the cost per pizza? Use a proportion to solve.
Answer:
9.25
Step-by-step explanation:
Answer:
$9.25
Step-by-step explanation:
8 is to $74 as 1 is to x
8/74 = 1/x
4/37 = 1/x
4x = 37 * 1
x = 37/4
x = 9.25
Answer: $9.25
12 x 14 = 14 x 12
What property is that
Answer:
The commutative property
Step-by-step explanation:
a math rule that says that the order in which we multiply numbers does not change the product.
Answer:
Commutative Property
Step-by-step explanation:
The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division. -splashlearn . com
Two consecutive positive multiples of 8 have a product of 2,688. What is the difference of these numbers?
Answer:
8
Step-by-step explanation:
Let one of the multiples of 8 be 8x and the second multiple of 8 be 8(x+1). Using x and x+1 ensure that the resulting multiples are one multiple apart, or consecutive. Next, recall that these two consecutive multiples of 8 have a product of 2,688. We can thus write the equation:
[tex]8x*8(x+1)=2,688[/tex].
To solve the equation, we must simplify and distribute. We can isolate the non-zero terms on one side the equation and solve the remaining quadratic equation for x:
[tex]64x(x+1)-2688\\64^2+64x-2688=0\\54(x^2+x-42)=0\\64(x+7)(x-6)=0[/tex]
This means that x=-7 or x=6. Using the positive result x=6 gives the multiples of 8×6 and 8(6+1) or 48 and 56. Subtract the two numbers ot find the difference is 56-48 or 8.
Solve each inequality.
1. 5x + 2 <17
Answer:
x<3
Step-by-step explanation:
5x+2<17
Subtract 2 from both sides.
5x<17−2
Subtract 2 from 17 to get 15.
5x<15
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x=15/5
Divide 15 by 5 to get 3.
x<3
Find the value of the expression below pls help
Answer:
D 1/16
Step-by-step explanation:
(1/2)^4=.0625
.0625= 1/16
Every square is also a
•Rectangle
•Rhombus
•parallelogram
•All of the above
Answer:
all of the above
Step-by-step explanation:
In second grade Eliza was given 500 from her grandparents this money was deposited into a savings account that earns 3% annual interest compounded quarterly find the account balance at graduation is there no other deposits or withdrawals in the account
Answer:
account balance at graduation is 674.17
Step-by-step explanation:
given data
deposit money P = 500
interest rate = 3 % compounded quarterly
we take time period = 10 year ( 2nd grade to 12 grade)
solution
we apply here compound interest formula that is
amount = [tex]P \times (1+\frac{r}{4})^{4t}[/tex] ..................1
put here value and we get
amount = [tex]500 \times (1+\frac{0.03}{4})^{4\times 10}[/tex]
amount = 674.174
so account balance at graduation is 674.17
Answer:
$694.63
Step-by-step explanation:
The formula is p(1+r/n)^tn. P, or the principal amount, is 500 dollars. R, or the rate as a decimal, is 0.03. N, or the number of times compounded yearly, is 4. T, or the time in years, is 11, since there are 11 years from grade 2 to grade 12. 12-2+1=11. Now, plug in the information given. 500(1+0.03/4)^4*11 = 500(1.0075)^44 = 694.63 dollars, rounded to the nearest cent.
Simplify the expression below as much as possible.
(7 + 4i) + (1 -3i)
A. 6 + 7i
B. 8 + 7i
C. 6 + i
D. 8 + 1
please give me the answer
solve x-19 <81. then graph the solution.
Answer:
x<100 and look at picture
Step-by-step explanation:
x-19<81
+19 +19
x<100
+100 on number line, opened line to the left
X<100
Step-by-step explanation:
x-19<18
+19 +19
x<100
+100 on number line, opened line to the left
-8x+14 = -15x+10
x = ?
Answer:
-4/7
Step-by-step explanation:
Add 15x to each side. Then subtract 14 to each side.
help me and i givee points give me correct answer
Answers:
Fractions A
Red flower fraction== 40/100
Purple flower fraction=47/100
Trees fraction=7/100
Decimals
Orange flower decimal=0.06
Trees decimal=0.07
Percents
Red flower percent=40%
Orange flower percent=6%
Purple flower percent=47%
Ask for help when you need it, I'm here until 2:30
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May I have brainliest, please?
Name the two congruent triangles
[tex] \boxed{ \blue{Answers + Explain}} [/tex]
the two triangles are congruent. Because it has sides that match and are the same length.
.
the corresponding side is:
[tex] \rm AC \cong CE [/tex][tex] \rm CD \cong BC [/tex][tex] \rm AD \cong BE [/tex].
the corresponding angle is:
[tex] \rm \angel{CAD} = \angel{BEC} [/tex][tex] \rm \angel{ADC} = \angel{EBC} [/tex][tex] \rm \angel{ACD} = \angel{BCE} [/tex]Which expression can be used to determine the perimeter, in units, of FGH
A.
B.
C.
or
D.
Answer:
D
Step-by-step explanation:
What is the equation of the line
Answer:
y = 0
Step-by-step explanation:
Find the length of the missing side. Simplify the radical if necessary
22 ft
26 ft
24 ft
28 ft
Answer:
26
Step-by-step explanation:
24²+10²=x²
676=x²
x=√676
x=26
Pythagorean theorem
What is the difference between (-12)² and -12²?
Logarithm Multiple Choice, Brainliest for correct answer!
Answer:
The first one
Step-by-step explanation:
x^(2) +7x -8
x^(2) +7x +7/2^(2) +-1*(7/2)^2+-8 Complete the square
x+7/2^(2) +-1 x 7/2^(2) +-8 Use the binomial formula
x+7/2^(2) +1 x -81/4 simplify
1(x+7/2)^2+1 x -81/4
What is half of 2 2/3
Answer:
1 1/3 (Decimal: 1.333333)
Step-by-step explanation:
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?
Answer:
$58+8.40=$66.4
Step-by-step explanation:
HELP ME ASAP.
This question is from Algebra Nation.
Answer:
Step-by-step explanation:
vertex form y = (x-h)^2 + k and vertex is at ( h, k)
the problem has y = x^2 + 5
then y = (x - 0)^2 + 5 the vertex is at ( 0 , 5)
shift that to the right 3 , then
y = ( x - 3)^2 + 5 now the vertex is at (3,5) nice
now shift to the left 10 ( to the left is sooner, to the right is later , that why we subtract to go right and add to go left)
y = ( x + 10 )^2 + 5 now the vertex is at ( -10, 5 ) or shifted 10 left
:)
Mr. Brown purchased tires for his car. The tires were $75 each, including tax, plus $10 for installation. Mr. Brown paid $160 for the tires and installation. Which equation can be used to find the number of tires, t, Mr. Brown purchased?
A. t = 160 + 75(10)
B. 75 + t(10) = 160
C. 75t + 10 = 160
D. 160t – 75 = 10
Answer:
C. 75t + 10 = 160
Step-by-step explanation:
Given that
The tire was $75 each
also there is a $10 for installation charges
For both he paid $160
Now based on the above equaton
The equation that applied to determine the number of tires i.e. t is
75t + 10 = 160
Zachary invested $5,300 in an account paying an interest rate of 9 % compounded
continuously. Peyton invested $5,300 in an account paying an interest rate of 85%
compounded quarterly. After 9 years, how much more money would Zachary have in
his account than Peyton, to the nearest dollar?
Answer:625
Step-by-step explanation:
12048.7006-11423.8842
624.8164
$625
After 9 years, Zachary has $615.2 more than Peyton in his account.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
The equation is given as,
[tex]\rm P=P_oe^{rt}[/tex]
Zachary invested $5,300 in an account paying an interest rate of 9 % compounded continuously. Then the amount is calculated as,
[tex]\rm P = \$5,300 \times e^{(0.09\times 9)}\\[/tex]
P = $5,300 × 2.2479
P = $11,913.9
Peyton invested $5,300 in an account paying an interest rate of 85% compounded quarterly. Then the amount is calculated as,
[tex]\rm A = \$5,300 \times \left (1 + \dfrac{8.5}{400} \right )^{4 \times 9}[/tex]
A = $5,300 × 2.1318
A = $11,298.7
The difference is given as,
D = $11,913.9 - $11,298.7
D = $615.2
After 9 years, Zachary has $615.2 more than Peyton in his account.
More about the compound interest link is given below.
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Zoey can text 90 words in 4 minutes. At this rate, how many minutes would it take her to text 45 words?
Answer:
2 minutes
Step-by-step explanation:
90 words ÷ 4 minutes
= 22.5 words
22.5 words × 2 minutes
= 45 words
given the following geometric sequence, find the common ratio. 0,45,0.9,1.8,
Answer:
The common ratio is 2.
Step-by-step explanation:
If a given set of elements represents a geometric, each pair of elements must the one and same ratio. That is:
[tex]\frac{n_{i+1}}{n_{i}} = r, \forall\,i\in \mathbb{N}[/tex], [tex]n_{i}, n_{i+1}\in N[/tex]
Where:
[tex]n_{i}[/tex] - i-th element of the given set.
[tex]N[/tex] - Set of elements.
If we know that [tex]n_{1} = 0.45[/tex], [tex]n_{2} = 0.9[/tex] and [tex]n_{3} = 1.8[/tex], then common ration is:
[tex]\frac{n_{2}}{n_{1}} = \frac{n_{3}}{n_{2}} = 2[/tex]
The common ratio is 2.
It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with 367 minutes and standard deviation 64 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with 525 minutes and standard deviation 110 minutes. A researcher records the minutes of activity for an SRS of 8 mildly obese people and an SRS of 8 lean people. (a) What is the probability that the mean number of minutes of daily activity of the 8 mildly obese people exceeds 400 minutes
Answer:
0.0721 = 7.21% probability that the mean number of minutes of daily activity of the 8 mildly obese people exceeds 400 minutes
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with 367 minutes and standard deviation 64 minutes.
This means that [tex]\mu = 367, \sigma = 64[/tex]
A researcher records the minutes of activity for an SRS of 8 mildly obese people.
This means that [tex]n = 8, s = \frac{64}{\sqrt{8}} = 22.63[/tex]
(a) What is the probability that the mean number of minutes of daily activity of the 8 mildly obese people exceeds 400 minutes?
This is 1 subtracted by the pvalue of Z when X = 400. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{400 - 367}{22.63}[/tex]
[tex]Z = 1.46[/tex]
[tex]Z = 1.46[/tex] has a pvalue of 0.9279
1 - 0.9279 = 0.0721
0.0721 = 7.21% probability that the mean number of minutes of daily activity of the 8 mildly obese people exceeds 400 minutes