Answer:
x = 3
Step-by-step explanation:
4x + 3 + 7x = -2x + 42
11x + 3 = -2x + 42
13x = 39
x = 3
Answer:
x=3
Step-by-step explanation:
4x+3+7x=-2x+42
combine like terms
11x+3=-2x+42
add 2x to both sides
13x+3=42
subtract 3 from both sides
13x=39
divide both sides by 13
x=3
what’s the lower bound of 3.115
Answer:3.1105
Step-by-step explanation:
Estimate the following difference by replacing each fraction with 0, 1/2 or 1
7/8 - 6/11
To estimate the difference 7/8 - 6/11, replace each fraction with 1 or 1/2 based on their proximity to 1 or 1/2. The estimated difference is 1/2.
Explanation:To estimate the difference 7/8 - 6/11, we need to replace each fraction with either 0, 1/2, or 1. Let's find the estimate for each fraction:
7/8 is closer to 1 because the numerator is close to the denominator. So, we replace it with 1.
6/11 is closer to 1/2 because the numerator is half of the denominator. So, we replace it with 1/2.
Now, we can subtract the estimated values: 1 - 1/2 = 1/2.
Therefore, the estimated difference is 1/2.
Learn more about Estimating the difference of fractions here:https://brainly.com/question/3084200
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What is the solution to –(5k + 6) = 3(12 – k)? A
A -15
C 21
B 15
D-21
Answer to the equation is:
k = - 21
Value of k is -21
Step-by-step explanation:
Step 1: Find k.–(5k + 6) = 3(12 – k)
-5k - 6 = 36 - 3k
-2k = 42
k = -42/2 = -21
x = 3y - 2
x= -7y + 8
Answer:
x = -9.5
y = -2.5
Step-by-step explanation:
to evaluate this linear system of equation, we would say that
let
x = 3y - 2................................................ equation 1
x= -7y + 8.............................................. equation 2
substitute equation 2 into equation 1
3y -2 = 7y + 8
collect the like terms
3y -2 -8= 7y
-10 = 7y -3y
-10 = 4y
divide both sides by 4
-10/4 = 4y/4
-2.5 = y
y = -2.5
put the value value of y into equation 1
x = 3y - 2................................................ equation 1
x = 3(-2.5) -2
x = -75 - 2
x = -9.5
-
A small rectangular garden has an area of 80 square feet. Its length is 2 feet more than the width. Give both the length and width of the garden.
Answer:
The answer length is 10 and the width is 8 or the other way around.
Step-by-step explanation: The garden has a area of 80 square feet and since 10 has 2 more than 8 that the answer.
Final answer:
To find the length and width of the garden, set up the equation for the area of a rectangle: width times (width + 2) equals 80. Solving this gives us the width as 8 feet and the length as 10 feet.
Explanation:
The question asks us to find the length and width of a rectangular garden given that its area is 80 square feet and the length is 2 feet more than the width. We can represent the width with the variable w and then express the length as w + 2. To find the dimensions, we write the equation for the area of a rectangle (length × width):
w × (w + 2) = 80
Solving this quadratic equation gives:
w² + 2w - 80 = 0
Factoring the quadratic equation gives:
(w + 10) × (w - 8) = 0
Therefore, the width w could be 8 or -10. Since a negative width doesn't make sense for a garden, we take w = 8 feet as the width. Consequently, the length is w + 2 = 10 feet.
The dimensions of the garden are 8 feet by 10 feet or vice versa.
In a system of linear equations in two variables, if the graphs of the equation are the same, the equations are ______ equations.
A. Dependent
B. Extraneous
C. Independent
D. Inconsistent
Answer:
A
Step-by-step explanation:
A system of linear equations can have two or more equations.
The true option is (A) Dependent
When a system of linear equations, then the solutions of the system would be:
[tex]\mathbf{x = x}[/tex] or [tex]\mathbf{y = y}[/tex] or [tex]\mathbf{n = n}[/tex]
Where x and y are the variables, and n represents any number
When the solution of a system of equations is any of [tex]\mathbf{x = x}[/tex] or [tex]\mathbf{y = y}[/tex] or [tex]\mathbf{n = n}[/tex]
Then, the system of equations is dependent
Hence, the true option is (A) Dependent
Read more about system of linear equations at:
https://brainly.com/question/21404414
Simplify to create an equivalent expression.
−3z−(−z−2)
A) −4z+2
B) −2z−2
C) −2z+2
D) 4z+2
so the answer is of option C....
The solid was created by connecting two congruent square pyramids to a rectangular prism.
A rectangular prism with a length of 14 inches, width of 15 inches, and height of 15 inches. 2 square pyramids with triangular sides with a height of 18 inches.
What is the surface area of this solid?
_____________ square inches
1380
1500
1920
3000
Answer:1920
Step-by-step explanation:
Answer: 1920
Step-by-step explanation:
what is the value of x in the triangle
Answer:
x = 17
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
15^2 + x^2 = (sqrt(514))^2
225 + x^2 = 514
Subtract 225 from each side
225-225 + x^2 = 514-225
x^2 =289
Take the square root of each side
sqrt(x^2) = sqrt(289)
x = 17
What is the horizontal asymptote of f(x) =-2x/x+1
y=-2
y=-1
y=0
y=1
Answer:
Y=0
Step-by-step explanation:
Since it is not a rational expression, there are no asymptotes.
Answer:
y= -2
Step-by-step explanation:
just took quiz
ANSWER ME PLS BRAINLIEST What is the average number of points scored in the 15 games played?
Question 4 options:
6.8
6
6.7
6.5
Answer:
the answer is 6
Step-by-step explanation: LOgic
Answer:
6
Step-by-step explanation:
The number 49 has exactly three factors. Since 98 is a multiple of 49, which must be true of 98? A. It must have only two factors. B. It must have fewer than three factors.C. It must have exactly three factors.D. It must have more than three factors.
Answer:
Step-by-step explanation:
⇒49=7×7 =1 × 49
Factors of 49 = 1,7,49
⇒It is given that ,98 is a Multiple of 49.
98 = 49 × 2
So, apart from factors of 49, number 2, and 98 are also included in the set of factors of 98.
→Factors of 98 are =1,2,7,49,98
Keith earns $41.00 in 2 hours. How much would he make in 9 hours?
Answer:
184.5
Step-by-step explanation:
41.00/2 = 20.50 per hour
now do 20.50 times 9 since its 9 hours needed to be found.
20.50 x 9 = 184.5
Answer:
19350
Step-by-step explanation:
To find the answer first find what is half of 41 that is 2050 then do 9 times 2050 equals 19350
Ten feet below sea level is farther below sea level than 2 and a half feet below sea level
Answer:
correct
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
cuz 10 is bgger than 2.5
Given a=10 and B=150° in Triangle ABC, determine the values of b for which A has
A) exactly one value
B) two possible values
C) no value
Answer:
A) b > 10
B) none
C) b ≤ 10
Step-by-step explanation:
For the purpose of this answer, we assume ABC is a triangle if and only if all angles and side lengths have measures greater than 0, and the sum of angles is exactly 180°.
The fact that B = 150° means A+C = 30°. That is, 0 < A < 30°. Taking the sine of A, we have ...
0 < sin(A) < 1/2
A, B)The Law of Sines tells us ...
sin(A)/a = sin(B)/b
sin(A) = a·sin(B)/b = 10·(1/2)/b = 5/b
Substituting this into the inequality for sin(A), we get ...
0 < 5/b < 1/2
0 < 10 < b . . . . . multiply by 2b (which is > 0)
In order to form a triangle, the value of b must be greater than 10. In that case, there will always be only one value for A:
A = arcsin(5/b) . . . . b > 10
__
C)For b = 10, the "triangle" is a straight line, a disallowed condition. That is A will have no allowed value.
For b < 10, A > 30°, which forces C < 0°. This is also a disallowed condition. So we can say ...
b ≤ 10, A has no allowed value
_____
The attached diagram shows triangle ABC. Point A can be anywhere on ray BA. As segment c gets longer, angle C increases from near 0 to near 30°. At the same time, angle A decreases from near 30° to near 0°. When b=10, c=0, and the figure is not a triangle. Nor is it a triangle for b < 10.
Consider the given triangle.
Right triangle with height labeled 8 inches, base labeled 6 inches, and third side labeled 10 inches.
How are the lengths of the sides of the triangle and the measure of its angles related?
Explain which angle would be the smallest and why.
Answer:
The angles across from the sides are related. The angle across from the side labeled 10 inches will be the largest angle and the angle across from thr side labeld 6 inches will be the smallest.
Please help on number 4, multiple choice
Answer:
30
Step-by-step explanation:
2 30
--- = --
? 450
same explanation as the other problem I helped you with :)
please help i will give you brainliest for correct answers and a thank you and the rest of my points
Answer:
530.7?
Step-by-step explanation:
Answer: 530.7m
Step-by-step explanation:
The formula for the area of a circle is [tex]A=\pi r^2[/tex]
From the picture we can see that the diameter of the circle is 26m
The r, or radius of the circle is just half the diameter, thus the radius is 13m
Now that we have all the values of the variables, we can solve for A
Plug in 3.14 for π and 13 for r and solve
[tex]A=(3.14)(13)^2[/tex]
[tex]A=(3.14)(169)[/tex]
[tex]A=530.66m[/tex]
What is the sum of the areas of circle C and circle D?
7 units
14 tt units
49 T units
98 units
Mark this and return
Save and Exit
Next
Submit
The sum of areas of circle C and circle D is 98[tex]\pi[/tex] square units, it is obtained from the attachment.
Step-by-step explanation:
The given is,
For the above question diagram is missing, so i attach the diagram
C, D points in the attachment is the center of circle C and D
Radius of circle C and D is 7 units
Step: 1
Formula for area of circle,
[tex]A=\pi r^{2}[/tex]..............................(1)
Where, r - Radius of circle
Step: 2
Area of circle, C
Radius of circle C, r = 7 units
Equation (1) becomes
[tex]A_{C}=\pi (7)^{2}[/tex]
[tex]A_{C} = 49\pi[/tex] square units
Area of circle, D
Radius of circle D, r = 7 units
Equation (1) becomes
[tex]A_{D}=\pi (7)^{2}[/tex]
[tex]A_{D} = 49\pi[/tex] square units
Step: 3
Sum of areas of circle C and D,
= Area of circle C + Area of circle D
= 49[tex]\pi[/tex] + 49[tex]\pi[/tex]
= 98[tex]\pi[/tex] Square units
Result:
The sum of areas of circle C and circle D is 98[tex]\pi[/tex] square units, it is obtained from the attachment.
At 4:00 A.M, the outside temperature was -23*F, by 4:00 P.M that same day it rose 33 degrees what was the temperature at 4:00 P.M
Answer: At 4 pm it would be 10 degrees
Step-by-step explanation: Take the -23 and add the 33 degrees since the temp rose (gets warmer) instead of drops (colder). -23+33=10
find: 2 root 3 ÷ root 3
Answer:
2
Step-by-step explanation:
The roots cancel.
[tex]\dfrac{2\sqrt{3}}{\sqrt{3}}=2\cdot\dfrac{\sqrt{3}}{\sqrt{3}}=2\cdot 1=2[/tex]
23. Ed has 42 red beads and 28
blue beads. He uses an equal number
of all the beads to decorate 7 clay
sculptures. How many beads are on
each sculpture?
Answer:
42 ÷ 7 = 6 red beads
28 ÷ 7 = 4 blue beads
There are 6 red beads and 4 blue beads in each sculpture.
Hope this helps <3
Answer:
10 beads for each sculpture
Step-by-step explanation:
42 divided by 7 is 6 and 28 divided by 7 is 4
4+6 is 10
so 4 blue beads and 6 red beads each scuptuer
Which could be the area of one face of the rectangular prism? Select three options.
6 cm
4 cm
11 cm
[Not drawn to scale]
20 cm
24 cm²
44 cm²
48 cm²
68 cm²
Answer:
44cm^2
Step-by-step explanation:
We work with area for rectangles using the face of the longer length first as this is the awkward length the perpendicular side to the easy calculation of the square and sits perpendicular to the square.
We choose the longer length and plug in and choose one of the two calculation answers.
11 x 4 = 44
11 x 6 = 66
We see the answer is 44cm^2, so we choose this one.
If the number of bacteria in a colony doubles every 45 hours and there is currently a population of 500,000 bacteria, what will the population be 180 hours from now?
Answer:
8,000,000
Step-by-step explanation:
180 divided by 45 equals 4.
500,000 times 2 equals 1,000,000
1,000,000 times 2 equals 2,000,000
2,000,000 times 2 equals 4,000,000
4,000,000 times 2 equals 8,000,000
Pick the expression that matches this description??
A grant for students who intend to become teachers is known as the.
A. TEACH Grant.
B. EDUCATE Grant
C. SMART Grant
D. ASPIRE Grant.
Answer:
I believe it is
A. teach grant
The grant for prospective teachers is the TEACH Grant, offering up to $4,000 per annum, with specific service conditions post-graduation. The correct answer is option (A).
The grant for students who intend to become teachers is known as the Teacher Education Assistance for College and Higher Education (TEACH) Grant. Students who are preparing for a teaching profession can receive up to $4,000 per year through this grant. To be eligible, you must take specific classes and majors related to education and must commit to holding a qualifying teaching position for at least four years after graduation. Not fulfilling these obligations will convert the TEACH Grant into a loan that must be repaid with interest and back interest. It's important to explore various educational grants, like the Federal Supplemental Educational Opportunity Grants (FSEOGs), state grants, and those offered by private organizations, as well as to consider joining professional organizations that support educators.
Thus, the correct answer to the student's question is option A) TEACH Grant.
Jack and Connor were splitting nachos. Jack ate of the
nachos and Connor ate 1 of the nachos.
What fraction of the nachos did they eat together?
The correct fraction of the nachos that Jack and Connor ate together is [tex]\(\frac{1}{2}\)[/tex].
To determine the fraction of the nachos that Jack and Connor ate together, we need to add the fractions of the nachos each one ate.
Jack ate [tex]\(\frac{1}{3}\)[/tex] of the nachos. Connor ate [tex]\(\frac{1}{6}\)[/tex] of the nachos.
To add these two fractions, we need a common denominator. The least common multiple (LCM) of 3 and 6 is 6. So, we convert [tex]\(\frac{1}{3}\)[/tex] to a fraction with a denominator of 6 by multiplying both the numerator and the denominator by 2, which gives us [tex]\(\frac{2}{6}\)[/tex].
Now, we can add the two fractions:
[tex]\[\frac{2}{6} + \frac{1}{6} = \frac{3}{6}\][/tex]
This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
[tex]\[\frac{3}{6} = \frac{1}{2}\][/tex]
Therefore, together, Jack and Connor ate [tex]\(\frac{1}{2}\)[/tex] of the nachos.
A hyperbola centered at the origin has a vertex at (-6, 0) and a focus at (10,0).
Answer:
I believe the answer is x= +or- 18/5
Answer:
X = +- 18/5
Step-by-step explanation:
Please help math middle school level
Answer:
7 yd
Step-by-step explanation:
You are finding the perimeter. Your answer should include yd (yd² is for area, yd³ is for 3d images).
Note that the two lines segments (? & 9) is parallel to the other line segment (16). Find the ?:
? + 9 = 16
? + 9 (-9) = 16 (-9)
? = 16 - 9
? = 7
7 yd is your answer
~
5 cm
What is measure of angle A?
3 cm
Enter your answer as a decimal in the box.
Round only your final answer to the nearest
hundredth
4 cm
Answer:
The graph is missing, so there are two options m∠A = 36.87° or m∠A = 53.13°
Step-by-step explanation:
Assuming that 3 cm, 4 cm and 5 cm are the length of the sides of a triangle, then a right triangle is formed, in which 5 cm is the length of the hypotenuse and 3 cm and 4 cm are the length of the legs.
Angle A is either the angle between 4 cm and 5 cm sides or between 3 cm and 5 cm sides. For the first case:
cos(A) = adjacent/hypotenuse =
cos(A) = 4/5
A = arccos(4/5) = 36.87°
For the second case:
cos(A) = 3/5
A = arccos(3/5) = 53.13°
The measure of angle [tex]\( A \)[/tex] is approximately [tex]\( 53.13^\circ \)[/tex].
Given a right triangle [tex]\( \triangle ABC \)[/tex] with the following side lengths:
[tex]\( AB = 3 \) cm[/tex]
[tex]\( BC = 4 \) cm[/tex]
[tex]\( AC = 5 \) cm[/tex]
We need to find the measure of angle [tex]\( A \)[/tex].
Since [tex]\( \triangle ABC \)[/tex] is a right triangle, and the side lengths 3, 4, and 5 satisfy the Pythagorean theorem [tex](\( 3^2 + 4^2 = 5^2 \))[/tex], we can proceed to use trigonometric ratios to find the measure of angle [tex]\( A \)[/tex].
Using Trigonometric Ratios
The trigonometric function tangent is often used in right triangles. The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side.
For angle [tex]\( A \)[/tex]:
[tex]\[\tan(A) = \frac{\text{opposite}}{\text{adjacent}} = \frac{BC}{AB} = \frac{4}{3}\][/tex]
To find the measure of angle [tex]\( A \)[/tex], we use the arctangent (inverse tangent) function:
[tex]\[A = \tan^{-1}\left(\frac{4}{3}\right)\][/tex]
[tex]\[A \approx \tan^{-1}(1.3333) \approx 53.13^\circ\][/tex].
The complete question is:
What is measure of angle A?