Answer:
True.
Step-by-step explanation:
It says to work out what is in parentheses first, (PEMDAS).
For example:
2(5 - 3) - 1
5 - 3 = 2 so we have:
2 * 2 - 1
= 4 - 1
= 3.
if you buy a 10-inch pizza is that the diameter or the circumference
What is x when y = 100?
about 21
about 19
about 13
about 5
Answer:
About 13
Step-by-step explanation:
There's no equation shown, but you can guesstimate and say it's between 10 and 20, so about 13 makes sense
A washer and dryer cost $652 combined. The washer cost $48 less than the dryer. What is the cost of the dryer?
Answer:
The dryer costs $350
Step-by-step explanation:
Step 1: Make a system of equations
w + d = 652
w = d - 48
Step 2: Plug in the know w into the first equation
d - 48 + d = 652
2d - 48 + 48 = 652 + 48
2d / 2 = 700 / 2
d = 350
Answer: The dryer costs $350
19. Bella and Isaac take a weekly quiz in their
math class. Their grades on each of the ten
first quarter quizzes are shown below. Find
the difference in their mean score.
Answer:
0
Step-by-step explanation:
Because finding mean is adding the numbers, then dividing by the number of numbers. They are both 2.5. So 2.5 - 2.5 =0
Bella: 2.5
Isaac: 2.5
The difference in their mean score is 0.
What is the mean score?The mean is the arithmetic average of a set of given numbers.
Bella and Isaac take a weekly quiz in their math class.
Their grades on each of the ten first quarter quizzes are shown below.
The Bella grades are;
100, 90, 70, 80
The mean of Bella's grades is;
[tex]\rm Mean =\dfrac{Sum \ of \ all \ values}{Number \ of \ values}\\\\Mean =\dfrac{100+90+70+60}{4}\\\\Mean =\dfrac{320}{4}\\\\Mean =80[/tex]
The Isaac grades are;
100, 90, 80, 50
The mean of Isaac's grades is;
[tex]\rm Mean =\dfrac{Sum \ of \ all \ values}{Number \ of \ values}\\\\Mean =\dfrac{100+90+80+50}{4}\\\\Mean =\dfrac{320}{4}\\\\Mean =80[/tex]
The difference in their mean score is;
Difference = Bella's grades - Isaac's grades
Difference = 80 - 80
Difference = 0
Hence, the difference in their mean score is 0.
Learn more about mean value here;
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BRAINLIESt if u answer 10 to the 2nd power
10 to the second power = 100
Since powers of TEN is 10 multiplied by itself, multiply 10 by 10 TWO times, because its 10 to the SECOND power
10x10=100
By the way do not multiply 10 by 2 at ALL IT IS WRONG!!!
For example, 10 to the 3rd power is 10x10x10 not 10x3
Answer: +100
Explanation: 10 raised to the 2nd power means the same thing as 10 squared and any number squared is that number times itself.
So 10² is just 10 · 10 or +100.
Drag the values to order them from least to greatest, with the least at the top.
Answer:
√143
4π
√79+√63
Step-by-step explanation:
√143 gives 11.958
4π = 4 times 22/7 = 12.57
√79+√63 gives 16.825
In ascending order, i.e from the least to the greatest, we have
11.958
12.57
16.825
Which is same as
√143
4π
√79+√63
What resources were brought from Europe to exchange for slaves
Answer:
Step-by-step explanation:
they were exchanged for iron, guns, gunpowder, mirrors, knives, cloth, and bead
How to solve 0.5(2p+4)= -4 -2p *
Answer: p=-2
Step-by-step explanation:
0.5(2p+4)x10=-4x10-2px10
5(2p+4)=-40-20p
10p+20-20=-40-20p-20
10p=-20p-60
10p+20p=-20p-60+20p
30p=-60
30p/20=-60/30
p=-2
At what time is the cake done
Here we know that at 3:17 pm you started to bake the cake. The total revolution the minute hand on the clock makes is:
[tex]\frac{5}{8}+\frac{13}{24}=\frac{7}{6} \ revolutions[/tex]
We know that:
[tex]1 \ revolution ----------- 60min \\ \\ 7/6 \ revolutions -----------x[/tex]
Solving for x:
[tex]x=\frac{7}{6}\times 60=70 minutes[/tex]
So it takes 70 minutes after you put the cake in the oven. But:
[tex]70minutes=1h \ 10min[/tex]
Adding this to the initial time:
[tex]3:17pm+1h \ 10min=4:27pm[/tex]
Finally, the cake is done at 4:27 pm, option C.
Wich equation is the standard form of
-56+14^2=-51
Answer:
The answer should be [tex]14x^{2} - 56 x + 51 = 0[/tex]
Step-by-step explanation:
Step 1: First, you add 51 to both sides
−56x + [tex]14x^{2}[/tex]+ 51= 0
Step 2: then you fix the order.
[tex]14x^{2} - 56 x + 51 = 0[/tex]
Please help! 10 points!
16^x = 64^x +4
1) X =-12
2) x=-2
3) X =2
4) x=12
Answer:
Step-by-step explanation:
Enter a problem...
Algebra Examples
Popular Problems Algebra Solve for x 64^(4x)=16^(x+1)
64
4
x
=
16
x
+
1
Create equivalent expressions in the equation that all have equal bases.
4
3
(
4
x
)
=
4
2
(
x
+
1
)
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
3
(
4
x
)
=
2
(
x
+
1
)
Solve for
x
.
Tap for fewer steps...
Multiply
4
by
3
.
12
x
=
2
(
x
+
1
)
Simplify
2
(
x
+
1
)
.
Tap for fewer steps...
Apply the distributive property.
12
x
=
2
x
+
2
⋅
1
Multiply
2
by
1
.
12
x
=
2
x
+
2
Move all terms containing
x
to the left side of the equation.
Tap for fewer steps...
Subtract
2
x
from both sides of the equation.
12
x
−
2
x
=
2
Subtract
2
x
from
12
x
.
10
x
=
2
Divide each term by
10
and simplify.
Tap for fewer steps...
Divide each term in
10
x
=
2
by
10
.
10
x
10
=
2
10
Cancel the common factor of
10
.
Tap for fewer steps...
Cancel the common factor.
10
x
10
=
2
10
Divide
x
by
1
.
x
=
2
10
Cancel the common factor of
2
and
10
.
Tap for fewer steps...
Factor
2
out of
2
.
x
=
2
(
1
)
10
Cancel the common factors.
Tap for fewer steps...
Factor
2
out of
10
.
x
=
2
⋅
1
2
⋅
5
Cancel the common factor.
x
=
2
⋅
1
2
⋅
5
Rewrite the expression.
x
=
1
5
The result can be shown in multiple forms.
Exact Form:
x
=
1
5
Decimal Form:
x
=
0.2
what is the inequality to 2w+5>45
Answer:
w > 20
Step-by-step explanation:
Perhaps you want the solution to the inequality 2w+5>45.
Subtract 5:
2w > 40
Divide by 2:
w > 20 . . . . this is the solution
_____
Comment on solving inequalities
An inequality is solved in virtually the same way that an equation is solved: undo what is done to the variable. The only difference is that when you perform an operation that reverses the ordering, you need to reverse the ordering symbol.
Multiplying or dividing by a negative number will reverse the ordering. Consider, for example, ...
2 > 1
Multiplying both sides by -1, we get ...
-2 < -1 . . . . . the > sign needs to be reversed to a < sign to keep the inequality true
Solve the two-step equation.
-0.45x + 0.33 = -0.66
What is the solution?
Answer:2.2
Step-by-step explanation:
Boo
Suppose that of 1400 students, 550 take Spanish, 700 take biology, and 400 take both
Spanish and biology. What is the probability that a student selected at random takes
Spanish or Biology? Simplify the fraction!
Answer:
17/28Explanation:
1. Call A the event of selecting a student who takes Spanish and P(A) the corresponding probability:
P(A) = number of students who take Spanish / number of studentsP(A) = 550 / 1400 = 11/282. Call B the event of selecting a student who takes biology and P(B) the corresponding probability:
P(B) = number of students who take biology / number of studentsP(B) = 700 / 1,400 = 1/23. The joint probability, P(A∩B), is the probability that a student takes Spanish and biology:
P(A∩B) = number of students that take both Spanish and biology / number of studentsP(A∩B) = 400/1400 = 2/74. By the properties of probabilities, the probability of the event A or B is:
P (A or B) = P (A∪B) = P(A) + P(B) - P(A∩B)P(A or B) = 11/28 + 1/2 - 2/7 = (11 + 14 - 8) / 28 = 17/28Final answer:
To find the probability of a student taking Spanish or Biology, you need to consider the students taking each subject and those taking both, applying the principle of inclusion-exclusion. The simplified probability is [tex]\frac{17}{28}[/tex].
Explanation:
The probability that a student selected at random takes Spanish or Biology can be calculated using the principle of inclusion-exclusion.
Find the total number of students taking Spanish or Biology: 550 + 700 - 400 (students taking both) = 850.
Calculate the probability: P(Spanish or Biology) = Number of students taking Spanish or Biology ÷ Total number of students = [tex]\frac{850 }{ 1400} = \frac{17}{28}[/tex].
In the diagram below,AB is parallel to CD. What is the value of x?
Answer: There is no diaphragm below
Step-by-step explanation: Please add picture
a terrarium in the shape of a rectangular prism has a volume of 4608 cubic inches. its length is more than 10 inches. the dimensions of the terrarium in terms of width are shown. calculate the length width and height of the terrarium
Answer:
The width is 12 inches, the length is 24 inches, and the height is 16 inches
Step-by-step explanation:
Please see the attached photo, it provides full information we need to solve this problem
We know that:
volume = 4608 cubic Lenth = (36-w)With = wHight = w+4So the vomume fomula is = LWH = (36 -w)*w*(w+4)
<=> [tex]32w^{2}[/tex] + 114w - [tex]-w^{3}[/tex] - 4608
<=> w = 32 and w = 12 and w= -12
Disregard w= -12, because the width cannot be negative, and we also know that length is more than 10 inches so w = 12 is fit with the requirement.
=> Length = 36 -12 = 24
Width = 12 and Hight = 12 + 4 = 16
The length, width, and height of the terrarium that has a shape of a rectangular prism is:
Length = 24 inWidth = 12 in.Height = 16 in.What is the Volume of a Rectangular Prism?Volume of rectangular prism = length × width × height.
Given the dimensions of the terrarium in the shape of a rectangular prism as:
Volume = 4,608 cubic in.
Length = (36 - w) in
Width = w in.
Height = (w + 4) in.
Plug in the values:
4,608 = (36 - w)(w)(w + 4)
4,608 = (36 - w)(w² + 4w)
4,608 = 36(w² + 4w) -w(w² + 4w)
4,608 = 36w² + 144w - w³ - 4w²
36w² + 144w - w³ - 4w² - 4,608 = 0
-w³ + 32w² + 144w - 4,608 = 0
Factorize
w = −12 or w = 12 or w = 32
Since we know the length is more than 10 inches and cannot be negative, therefore, w = 12.
Plug in the value of w
Length = (36 - 12) = 24 in
Width = 12 in.
Height = (12 + 4) = 16 in.
Therefore, the length, width, and height of the terrarium that has a shape of a rectangular prism is:
Length = 24 inWidth = 12 in.Height = 16 in.Learn more about volume of rectangular prism on:
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What is A + 6 divided by 8 = 18? what is A? First to answer gets brainliest.
Answer:
A=138
Step-by-step explanation:
First you would multiply 18 times 8, which equals 144. Then you would subtract 6, which equals 138. So A=138.
Answer:
A = 138
Step-by-step explanation:
[tex] \frac{a + 6}{8} = 18 \\ a + 6 = 18 \times 8 \\ a + 6 = 144 \\ a = 144 - 6 \\ a = 138[/tex]
20 customers are eating dinner at a local restaurant. The restaurant accepts cash or credit as forms of payment. Of the 20 customers, 4 have enough cash to pay for their meal, 16 have a credit card, and 3 have enough cash and a credit card.
Using this information, answer each of the following questions. Let A be the event that a randomly selected customer has enough cash and B be the event that a randomly selected customer has a credit card.
1) What is P(A) the probability that a customer has enough cash?
2) What is P(B) the probability that a customer has a credit card?
3) What is P(A and B) the probability that a customer has enough cash and a credit card?
4) What is P(Aor B) the probability that a customer has enough cash or a credit card?
Answer:
1) P(A) = 0.20
2) P(B) = 0.80
3) P(A and B) = 0.15
4) P(A or B) = 0.85
Step-by-step explanation:
Total number of customers = 20
Customers with enough cash = 4
Customers with credit card = 16
Customers with enough cash and credit card = 3
Part 1) Customer has enough cash
Probability is defined as the ratio of favorable outcomes to total number of outcomes. Here the favorable outcome will be the customers with enough cash which are 4 in number and total number of outcomes will be the total number of customers which is 20.
Therefore, the probability that a customer has enough cash will be:
[tex]P(A)=\frac{4}{20}=\frac{1}{5}=0.20[/tex]
Part 2) Customer with a credit card
Using the same formula we used in previous part. However, in this case the number of favorable outcomes will be the number of customers with a credit card i.e. 16
Therefore, the probability that a customer has a credit card will be:
[tex]P(B)=\frac{16}{20} =\frac{4}{5} =0.8[/tex]
Part 3) Customer has enough cash and a credit card
Using the same formula once again. However, in this case the number of favorable outcomes will be the customers with enough cash and a credit card which is 3.
Therefore, the probability that a customer has enough cash and a credit card will be:
[tex]P(A \cup B)=\frac{3}{20}=0.15[/tex]
Part 4) Customer has enough Cash or a Credit Card
We need to find union of two events i.e. P(A or B). The union of two events is defined as:
P(A or B) = P(A) + P(B) - P(A and B)
We calculated all these values in the previous parts. Substituting the values in above formula, we get:
P(A or B) = 0.2 + 0.8 - 0.15
P(A or B) = 0.85
Therefore, the probability that a customer has enough cash or a credit card is 0.85
x-5/50°
What is the measure of
ZQRT?
What is the value of x?
What is the measure of
ZQRS?
NEED HELP PLEASE FOR BRAINLEST
Answer:
<QRT = 130°
X = 135
<QRS = 180°
Step-by-step explanation:
1. A straight line is 180°.
180° - 50° = 130°
<QRT = 130°
2. x - 5 = 130°
130° + 5° = 135°
3. As stated before, a straight line is 180°.
change improper fraction to mixed number
10/7
Answer:
1 3/7
Step-by-step explanation:
10/7 is same as 7/7 + 3/7
7/7 equals to 1
Therefore, 1 + 3/7
Answer: 1 3/7
Jane thought of a number then added -5 and subtracted -8 to get 13. What number did Jane start with
Solve by using substitution. SHOW YOUR WORK. y=-2x – 1
y = 8x + 19
Answer: x= -2; y = 3
Step-by-step explanation:
y=-2x – 1
y = 8x + 19 -
replacing "y"
-2x – 1 = 8x + 19
-2x - 8x = 19 + 1
-10x = 20
x = 20/-10
x= -2
y=-2x – 1
y= -2.(-2) - 1
y= 4 - 1
y = 3
Which expression could be used to determine the product of –4 and 3 and one-fourth? (negative 4) (3) times (negative 4) (one-fourth) (negative 4) (3) + (negative 4) (one-fourth) (3) (negative 4) times (3) (one-fourth) (3) (negative 4) + (3) (one-fourth)
Answer:
B.
Step-by-step explanation:
proof below
Answer:
B
it is very simple as that
What is 3.15 trillion in scientific notation?
[tex]3.15*10^{12}[/tex] would be 3.15 trillion in scientific notation. When putting a number into scientific notation, move the decimal point until you have a number between 1 and 10.
To convert 3.15 trillion to scientific notation, express it as 3.15 × 10¹². This involves moving the decimal point 12 places to the left. Scientific notation helps manage very large or very small numbers efficiently.
To convert the number 3.15 trillion to scientific notation, follow these steps:
First, recognize that a trillion is equal to 1,000,000,000,000 or 10¹².Next, express 3.15 trillion as a numerical value: 3,150,000,000,000.To write this in scientific notation, move the decimal point so that there is only one non-zero digit to the left of the decimal point. In this case, 3.15 becomes 3.15.Count the number of places the decimal point has moved. Here, it moves 12 places to the left.Thus, 3.15 trillion in scientific notation is written as 3.15 × 10¹².Scientific notation is particularly useful in fields where dealing with extremely large or small numbers, such as astronomy and other sciences, is common.
9. James wants to purchase a telescope for
$54. If he saves $3 per week, in how many
weeks will he have saved enough to purchase
the telescope?
Answer: James will save $3 for 18 weeks before he can buy the telescope
Step-by-step explanation:
Answer:18weeks
Step-by-step explanation:
54/3=18
He will save up for 18weeks to buy the telescope
If a car travels 150km for 1hour and 30 minutes how long in hours will it take the car to travel 260km
Time taken by the car to cover 260 km is 2.6 hrs
Step-by-step explanation:
Step 1: Find the speed of the car given distance covered = 150 km and time = 1.5 hrs.Speed = Distance/Time = 150/1.5 = 100 km/hr
Step 2: Find the time taken by the car to cover 260 km.Time = Distance/Speed = 260/100 = 2.6 hrs
How many hundreds are in number 500
Answer:
5 hundreds
Step-by-step explanation:
5 is the hundreds place. So, there are 5 hundreds
Answer:
5 hundreds
Step-by-step explanation:
500 divided by 100 = 5
so, there are 5 hundreds in the number 5
How can you tell which Angles are congruent from ADEF = AZXY?
Answer:
corresponding angles are listed in the same order
Step-by-step explanation:
Corresponding angles are listed in the same order in the triangle names. Corresponding angles are congruent.
∠D ≅ ∠Z
∠E ≅ ∠X
∠F ≅ ∠Y
_____
This is why you have to carefully choose the names of triangles that you say are congruent. The sequence of the letters in the name carries significant information.
I need help with this one
Answer:
Step-by-step explanation:
Let w be the width
Length = w + 3
Perimeter = 40 m
2*(length + width) = 40
2*(w+3 + w) = 40
2* (2w + 3) =40
2w + 3 = 40/2
2w + 3 = 20
2w = 20-3
2w = 17
w = 17/2 = 8.5 m
w = 8.5 m
Length = w + 3 = 8.5 + 3 = 11.5m
Marcy’s breakfast table has a square table top with an area of 36 square feet. What is the diagonal length of the table top? how do you solve this i need help
Answer:
[tex]d=6\sqrt{2}\ ft[/tex]
Step-by-step explanation:
step 1
Find the length side of the square
we know that
The area of the square is given by the formula
[tex]A=b^2[/tex]
where
b is the length side of the square
we have
[tex]A=36\ ft^2[/tex]
substitute
[tex]36=b^2[/tex]
solve for b
[tex]b=6\ ft[/tex]
step 2
Find the diagonal length of the table top
Let
d ----> the diagonal length of the table top
Applying the Pythagorean Theorem
[tex]d^2=b^2+b^2[/tex]
substitute the value of b
[tex]d^2=6^2+6^2[/tex]
[tex]d^2=72[/tex]
[tex]d=6\sqrt{2}\ ft[/tex]