Answer:
7/2
Step-by-step explanation:
17=4x+3
4x=17-3
4x=14
x=14/4
x=7/2
Multiply the equation (–8)(7).
Answer:
-56
Step-by-step explanation:
It technically means -8 times 7.
6. Find the areas of the rectangles with the following side lengths.
a. 5 in and 1/3 in
c. 5/2 in and 4/3 in
b. 5 in and 4/3 in
c. 2/5 in and 4/3 in
d. 7/6 in and 6/7 in
(a) Area of rectangle = 1.67 squares in
(b) Area of rectangle = 3.33 squares in
(c) Area of rectangle = 6.67 squares in
(d) Area of rectangle = 0.53 squares in
(e) Area of rectangle = 1 squares in
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
(a) Length of rectangle = 5 in and
Width of rectangle = 1/3 in
Area of rectangle = 5 × 1/3 = 5/3 = 1.67 square in
(b) Length of rectangle = 5/2 in and
Width of rectangle = 4/3 in
Area of rectangle = 5/2 × 4/3 = 20/6 = 3.33 square in
(c) Length of rectangle = 5 in and
Width of rectangle = 4/3 in
Area of rectangle = 5 × 4/3 = 20/3 = 6.67 square in
(d) Length of rectangle = 2/5 in and
Width of rectangle = 4/3 in
Area of rectangle = 2/5 × 4/3 = 8/15 = 0.53 square in
(e) Length of rectangle = 7/6 in and
Width of rectangle = 6/7 in
Area of rectangle = 7/6 × 6/7 = 42/42 = 1 square in
Learn more about the Area of the rectangle here:
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HELP I NEED THIS WITHIN 2 MINUTES AB if AC = 13.2 And BC = 6.8
Answer:
AB = 6.4
Step-by-step explanation:
Assuming that AB + BC is AC, then we can say the following:
AB + BC = AC
AB + 6.8 = 13.2
AB + 6.8 + -6.8 = 13.2 + -6.8
AB = 6.4
Cheers.
Help me out plz! it’s an algebra 1 course.
Answer:
13x + 6
Step-by-step explanation:
5x + 2(4x + 3)
distribute the 2
2 • 4x = 8x
2 • 3 = 6
5x + 8x + 6
combine like terms
13x + 6
Answer:
Step-by-step explanation:
5x+2(4x+3)
=5x+8x+6
=13x+6
the altitude of mt. makalu is 8485meters,find its heights in centimeter
Answer:
the answer is 848500 centimetres
Step-by-step explanation:
we have to multiply the value by 100.
hope it helps.
Answer:
848500 cm
Step-by-step explanation:
[tex]1 \:cm =0.01 \:m\\x\: cm = 8485 \: m\\\\\frac{8485}{0.01} \\\\= 848500[/tex]
A manufacturer knows that their items have a normally distributed length, with a mean of 8.8 inches, and standard deviation of 0.7 inches.
If one item is chosen at random, what is the probability that it is less than 8.2 inches long?
Answer:
0.1949
Step-by-step explanation:
Given a normal distribution with;
Mean(m) = 8.8 inches
Standard deviation (sd) = 0.7 inches
If one item is chosen at random, what is the probability that it is less than 8.2 inches long?
Find the Z-score :
x = 8.2 inches
Z = (x - m) / sd
Zscore = (8.2 - 8.8) / 0.7
Zscore = - 0.6 / 0.7
Zscore = - 0.857 = - 0.86
P(Z < - 0.86) :
From z distribution table :
P(Z < - 0.86) = 0.1949
If one item is chosen at random, there is a probability of 0.1949 that it will be less than 8.2 inches long.
help please. its due tonight Geometry!!
Answer:
D
Step-by-step explanation:
First, let's define each of the terms.
Scalene refers to triangles whose three sides and three angles all have different measures.
Isosceles refers to triangles who has two equivalent angles and sides.
Right triangles are triangles with one right angle.
So we know that the triangle has one 90 degrees and 2 45 degree angles.
In other words, this is an isosceles triangle.
And since it also contains a 90 degree angle, it means that the triangle is an isosceles right.
The answer is D
3) A particular motorcycle is 9 ft long. A
model of it was built with a scale of 1 in :3
ft. How long is the model?
Answer:3 inches
Step-by-step explanation:
For every inch is 3 feet
9 feet ÷3 feet to 1 inch = 3 inches
The altitude of Mt. Everest is 884800cm. Find its height in meter
Answer:
8848 meters
Step-by-step explanation:
[tex]1 \: cm = 0.01\:m\\884800 = x \: m\\\\x = 884800\times 0.01\\\\x = 8848\:meters[/tex]
Answer:
The meter is the international system unit of length, here there are some conversions:
1km = 1000 meters1 hm = 100 meters1 dam = 10 meters1 m = 10 dm1 m = 100 cm1m = 1000 mmSo we know 100 cm are equal to 1 meter and we have to pass the 884800 centimeters to meters.
If 1 meter is equal to 100 centimeters, to pass from meters to centimeters we multiply by 100 and from centimeters to meters we divide by 100.
In this case, we need to pass from cm to m, so we divide by 100 the altitude:
884800/100 = 8848 meters
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 26 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
Answer:
(x, y, z) = (30°, 62°, 88°)
Step-by-step explanation:
The given relations are ...
x + y + z = 180 . . . . sum of angle measures is 180°
y + z = 5x . . . . . . . . sum of 2nd and 3rd is 5 times the first
z = y + 26 . . . . . . . . third is 26 more than second
__
We can use the third equation to substitute into the second equation.
y + (y +26) = 5x
2y +26 = 5x
We can multiply the first equation by 5, then substitute for 5y and for z.
5x +5y +5z = 5(180)
(2y +26) +5y +5(y +26) = 900
12y + 156 = 900 . . . simplify
y +13 = 75 . . . . . . . . divide by 12
y = 62
z = y + 26 = 62 +26 = 88
y+z = 5x = 62 +88 = 150
x = 150/5 = 30
The angle measures are (x, y, z) = (30°, 62°, 88°).
Answer:
x=30 y=62 z=88
Step-by-step explanation:
The solution is therefore (30,62,88).
A newspaper vendor sells three papers to 135 customers, the papers are the daily times, the observer and the new Nigeria. 70 customers buy the daily time, 60 the observer, 50 the new Nigeria, 17 buy both the daily times and the observer, 15 buy both the observer and the new time Nigeria, 16 the daily times and new Nigeria, how many customers brought (1) all the three papers
Answer:
3 customers brought all the three papers.
Step-by-step explanation:
Let, D, O and N represents the three newspapers.
D = The daily times
O = The observer
N = The new Nigeria.
According to the given information,
[tex]n(D\cup O\cup N)=135, n(D)=70,n(O)=60,n(N)=50[/tex]
[tex]n(D\cap O)=17, n(O\cap N)=15, n(D\cap N)=16[/tex]
We know that,
[tex]n(A\cup B\cup C) = n(A) + n(B) + n(C)-n(A\cap B)-n(B\cap C)-n(C\cap A) + n(A\cap B\cap C)[/tex]
Using this formula, we get
[tex]n(D\cup O\cup N) = n(D)+n(O) + n(N)-n(D\cap O)-n(O\cap N)-n(N\cap D) + n(D\cap O\cap N)[/tex]
[tex]135 =70+60+50-17-15-16 +n(D\cap O\cap N)[/tex]
[tex]135 =132+n(D\cap O\cap N)[/tex]
[tex]135 -132=n(D\cap O\cap N)[/tex]
[tex]3=n(D\cap O\cap N)[/tex]
Therefore, 3 customers brought all the three papers.
Can you help me withi this Question I’ll give you a brain list
Answer:
rhombus
Step-by-step explanation:
if you flip a rhombus(diamond) shaped sandwich over it is still shaped like a rhombus
hope i helped
Mrs. Ming had $150.55 in her checking account. She wrote a check for the amount of $79.82. What is the new balance in Mrs. Ming’s checking account?
Answer: $70.73
Step-by-step explanation:
if one card is picked at random from a deck of 52 cards which contains an equal amount of hearts, diamonds, clubs, and spades, the probability that it is a club is
Answer:
25%.
Step-by-step explanation:
Since there are 52 cards, and 4 suits, you must find the number of cards for each suit. Begin by dividing 52 by 4.
52 / 4 = 13.
Now, we must check how many times 13 goes into 52. It goes in 4 times (4 x 13 = 52).
Because it is exactly 52, not over, we can find the percent by dividing 100 by the number of times 13 went into 52!
Since it went in 4 times, we will get the answer with this final equation:
100 / 4 = 25.
Therefore, the answer is 25%!
Which is equivalent to 1.04?
Answer:
104%
Step-by-step explanation:
if it has to do with percentages
A truck can be rented from Company A for $120 a day plus $0.40 per mile. Company B charges $40 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer: 400 miles
Step-by-step explanation:
Let x= the amount of miles
120+0.4x=40+0.6x
80+0.4x=0.6x
80=0.2x
x=400
400 miles a day the rental cost will be same
Hope this helps!! :)
Please let me know if you have any question
Determine the volume of a sphere with a great circle of radius 12 cm. Question 20 options: A) 3,216.9 cm3 B) 1,024 cm3 C) 7,238.2 cm3 D) 21,714.7 cm3
Greetings from Brasil...
The volume of a sphere is given by the expression:
V = (4πR³)/3where R = radius
So
V = (4πR³)/3
V = (4.π.12³)/3
V = (4.π.1728)/3
V = 6912π/3
V = 2304π cm³or
V = 7,238.23cm³
Show that the set of solutions of a second-order linear homogeneous differential equation is linearly independent.
{eax, xeax}, a ≠ b
Find the Wronskian for the set of solutions.
{eax, xeax}, a ≠ b
Answer:
The set of solutions are linearly independent because the wronskian is
e^(2ax) ≠ 0
Step-by-step explanation:
To show that the set of solutions {e^(ax), xe^(ax)} are linearly independent, we find the Wronskian of the set of solutions.
Wronskian of y1 and y2 is given as:
W(y1, y2) = y1y2' - y1'y2
y1 = e^(ax)
y1' = ae^(ax)
y2 = xe^(ax)
y2' = axe^(ax) + e^(ax)
W(y1, y2) = e^(ax)[axe^(ax) + e^(ax)] - ae^(ax).xe^(ax)
= (ax + 1)e^(2ax) - axe^(2ax)
= e^(2ax)
The wronskian of the given set of solutions is e^(2ax), which is not zero.
Because it is not zero, the set of solutions are linearly independent.
NEED HELP ASAP FOR THIS MATH . Consider the statement.
*The difference of two rational numbers is an irrational number.*
Is the statement true or false? Justify your answer.
true; The difference of two rational numbers is a rational number, which is also an irrational number since all rational numbers are also irrational
numbers.
o false; Rational numbers are closed under subtraction: 4 - 3 = 1.
true; The difference of any two real numbers is an irrational number.
false; Only square roots can result in irrational numbers. Subtraction of any two real numbers results in a rational number.
Answer:
false; Only square roots can result in irrational numbers. Subtraction of any two real numbers results in a rational number.
Step-by-step explanation:
Rational numbers in any operation with a rational number except square rooting will result in a rational number.
Find the distance betweenweem the two points rounding to the nearest tenth (9,9) and (6,5)
Answer:
5Step-by-step explanation:
[tex](9,9) =(x_1,y_1)\\(6,5)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\[/tex]
Plug-in the values into the equation
[tex]d = \sqrt{(6-9)^2+(5-9)^2}\\ \\d = \sqrt{(-3)^2+(-4)^2}\\ \\d = \sqrt{9+16}\\ \\d = \sqrt{25} \\\\d =5[/tex]
Use only the digits 0 - 9 to complete the fraction.
__
1.90 = 21/___
Somone please help! And with some other questions!
Answer:
DC
Step-by-step explanation:
Please help I need all the steps
Answer:
Step-by-step explanation:
x + 5 = 20
x = 15
Answer:
x=15
Step-by-step explanation:
We are given the equation:
[tex]\frac{1}{4} = \frac{5}{x+5}[/tex]
We want to solve for x. Therefore, we must isolate x on one side of the equation.
Let's begin by cross multiplying. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the denominator of the first by the numerator of the second.
[tex]1(x+5)=(4*5)[/tex]
[tex]x+5=(4*5)[/tex]
[tex]x+5=20[/tex]
5 is being added to x. The inverse of addition is subtraction, so subtract 5 from both sides of the equation.
[tex]x+5-5=20-5[/tex]
[tex]x=20-5[/tex]
[tex]x=15[/tex]
Let's check our solution. Plug 15 in for x.
[tex]\frac{1}{4} = \frac{5}{x+5}[/tex]
[tex]\frac{1}{4} = \frac{5}{15+5}[/tex]
[tex]\frac{1}{4} = \frac{5}{20}[/tex]
[tex]\frac{1}{4} = \frac{5/5}{20/5}[/tex]
[tex]\frac{1}{4} = \frac{1}{4}[/tex]
Our solution checks out, so we know it is correct.
The solution to this equation is x=15
wrie an exponential expression that is equivalent to 4 to the 14 power times -2 please help now!!!!!
Answer:
-2(4)¹⁴
Step-by-step explanation:
times -2
4 to the 14th power = (4)¹⁴
Answer:
(4^14) * -2 =
268,435,456 * -2 = -536,870,912
Step-by-step explanation:
Write 68.94 in word form
Answer:
sixty-eight and ninety-four hundredths
Step-by-step explanation:
Answer: sixty eight and ninety four hundredths
Step-by-step explanation:
60 = sixty
8 = eight
. = decimal (and)
.9 = nine tenths
.04 = four hundredths
so....
sixty eight and ninety four hundredths
Does the letter C have any angles
6^2-3•4=? I’m confused on this so I would appreciate some help ;)
Answer:
24
Step-by-step explanation:
The most important thing to note here is that there are no parentheses defining what to do when.
Therefore, we have to use order of operations - PEMDAS, to find the expression's value.
PEMDAS states that the order you go in is:
1. Parentheses
2. Exponents
3. Multiplication/Division
4. Addition/Subtraction
[tex]6^2-3\cdot4[/tex]
There are no parentheses, so first we have to solve the exponent.
[tex]6^2=36\\\\36-3\cdot4[/tex]
Now we have to multiply.
[tex]36-12[/tex]
And now subtract.
[tex]24[/tex]
Hope this helped!
Answer:
6^2 - 3×4 = 24/1 = 24....
What is (2 hundreds 3 tens)x 10 in standard form
Answer:
2300
Step-by-step explanation:
When you multiply by 10, each place value moves one to the left: hundreds become thousands, tens become hundreds.
(2 hundreds 3 tens) × 10 = 2 thousands 3 hundreds
In numbers (standard form), this is ...
230 × 10 = 2300
Given the equation y = x – 2, you substitute 3 for y. Check all true statements below.
Answer:
its a, c and e and 2020 edge.
IM TIMED What is 3.71 simplified!!!!!!!
Answer:
if its asking for the tenths place its 3.7
if its asking for the ones place its 4
Step-by-step explanation: