You need to multiply the cost per text message by the number of messages (x) add that to the fixed charge.
The total of those need to be less than or equal to the amount she wants to spend.
The equation would be written as:
0.30x + 12 <= 40
Find the seventh term of the geometric sequence 1, 2, 4, ... and the sum of the first seven terms. t7= S7=
Answer:
Seventh term is 64
Sum of the first seven terms is 127
Step-by-step explanation:
The common ratio is 2
[tex]a_{n} = a_{1} r^{n - 1}[/tex]
n = 7 and the first term is 1. So,
[tex]a_{7} = 1(2^{7 - 1} ) = 2^{6} = 64[/tex]
Seventh term is 64
[tex]S_{n} = \frac{a_{1} (r^{n} -1)}{r - 1}[/tex]
[tex]S_{7} = \frac{1(2^{7} -1)}{2 - 1}[/tex]
[tex]= \frac{128 - 1}{1} = 127[/tex]
Sum of the first seven terms is 127
sorry but the last answer is a bit glitched out
Answer:
Because of the options you have, I believe it is GJ
Step-by-step explanation:
Hope that helps!
can anyone help with this???
Answer:
X= 13
A=104
C=26
Step-by-step explanation:
the equation is 8x+2x+50=180
10x=130
x=13
does anyone know what this is ?
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relations between trig functions and angle.
Tan = Opposite/Adjacent
tan(θ) = y/x
Sin = Opposite/Hypotenuse
sin(θ) = y/4
The given relation is ...
tan(θ) = 2·sin(θ)
y/x = 2(y/4)
2 = x . . . . . . . multiply by (2x/y)
_____
Additional comment
Then the angle can be found from the relation ...
Cos = Adjacent/Hypotenuse
cos(θ) = x/4 = 2/4 = 1/2
θ = arccos(1/2) = 60°
and the value of y is ...
y = 4·sin(60°) = 2√3
4. Simplify the expression
2(10) + 2(x-4).
(A) 2x + 16
(B) x+12
© 2x + 12
(D) x + 16
Answer:
C. 2x + 12
Step-by-step explanation:
2(10) + 2(x-4)
= 20 + 2x - 8
= 2x + 20 - 8
= 2x + 12
=. Diego and Priya are each saving money. Diego starts with $80 in his savings account and adds $5
per week. Priya starts with $30 in her savings account and adds $15 each week.
After three weeks, who has more money in their savings account? Explain how you know.
a.
Answer:
diego. 80+(5x3)= 95
it isn't priya because 30+(5x3)=45
mean median mode and range,4,8,6,4,4,1,1
In the triangle below x= cm round to the nearest tenth 15 is the hypotenuse 35 is a angle and 90 in an angle. Please help
Answer:x= 38.079
Step-by-step explanation:
Select three expressions that are equivalent to 12y + 18 by factoring,
6(2 + 3y)
2(6 + 9)
209 + 6y)
6(3 + 2y)
3(4y + 6)
Answer:
3(4y + 6)
6(3 + 2y)
2(9+6y)
Step-by-step explanation:
When factored, all of them are equivalent to 12y + 18.
Answer:
6(2 + 3y), 6(3 + 2y), and 3(4y + 6)
Step-by-step explanation:
6(2 + 3y)= 18y+12
2(6 + 9)=30
209 + 6y)= can't factor
6(3 + 2y)= 12y+18
3(4y + 6)=12y+18
hope this helps :)
Triangle D E F is shown. Angle D E F is a right angle. The length of hypotenuse DF is 13, the length of E F is 5, and the length of E D is 12.
What is the length of the side opposite ∠D?
units
sin(D) =
Answer:
5 and 5/13
Step-by-step explanation:
What is the length of the side opposite ∠D?
✔ 5
units
sin(D) =
✔ 5/13
14 = -2s -8
Solve for s
Answer:
s = -11
Step-by-step explanation:
14 = -2s - 8
22 = -2s
2s = -22
s = -11
14= -2s -8
+8 +8 Add 8 to both sides to isolate -2s
22= -2s
--- ----
-2 -2 Divide -2 by both sides
-11=s This is the answer.
PLEASE HELP ME ON THIS ITS THE LAST ONE FOR THE DAY
Answer:
z=95
Step-by-step explanation:
z-28=67
+28 +28
x=95
all you have to do is make both side of the eqaution balanced
if you add 28 to one side you do it to the other side as well
Find the coordinates of the intersection of the diagonals of rectangle WXYZ with the given vertices. W (-1, 7), X (8,7), Y (6,-2), Z (-3,-2).
(-1,7) X (8,7) Y ( 6-2), ( -3 -2).
Which table and graph represent the equation y = 3X?
—————————
a.table B and graph A
b.table B and Graph B
c.table A and graph B
d.table A and graph A
Answer:
d. table A and graph A
Step-by-step explanation:
y=3x
y = 3X is represented by graph B .
y = 3X is represented by table A .
Hence option C is correct .
Given, Equation : y = 3X
Now, to get the values of y substitute x.
Firstly table A:
y = 3X
x = 1 : y = 3
x = 2 : y = 6
x = 3 : y = 9
Thus table A represents the equation .
Next graph B :
Starting point of graph B is origin.
Coordinates of origin : (0,0)
Equation of graph B : y = 3X
Thus graph B represents the equation .
Therefore option C is correct .
Know more about equations,
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Expand: logh(9jk) Log Subscript h Baseline 9 times log Subscript h Baseline j times log Subscript h Baseline k Log Subscript h Baseline 9 + log Subscript h Baseline j + log Subscript h Baseline k Log 9 + log j + log k
Answer:
log h 9 + log h j +log h k
Step-by-step explanation:
i got it right on edg
Answer:
it is B for all u speed run edge people
Step-by-step explanation:
big luck in life
. What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y S4?
A.(-1, -3)
B.(10, -1)
C.(-4, 6)
D.(-2,-8)
3. Which of the following is not a solution to this system?
Answer:
(-1, -3)
Step-by-step explanation:
What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y < 4?
Using the coordinate point (-1, 3)
If x = -1 and y = 3
Substitute into the expressions and check if they are true
2x - 7y >5
= 2(-1)-7(-3)
= -2 + 21
= 19
Since 19 is greater than 5, hence the inequality 19 > 5 is true
Substituting into 3x - y < 4
3(-1)-(-3)
= -3 + 3
= 0
Since 0 < 4, hence this is also true for the inequality.
The coordinate point that satisfies the inequality is therefore (-1, -3)
The base and corresponding height of a parallelogram are 75 cm and 25 cm. If the other base is 50 cm, find out its corresponding height.
Answer:
Height of the parallelogram = 37.5 cm
Step-by-step explanation:
As given,
Base of a parallelogram = 75 cm
Height of a parallelogram = 25 cm
As,
we know that
Area = Base × Height
= 75 × 25
= 1875 cm²
As the parallelogram is same
So, Area = Base × Height
⇒1875 = 50 × Height
⇒ Height = [tex]\frac{1875}{50}[/tex] = 37.5 cm
So, we get
Height of the parallelogram = 37.5 cm
Solve the two-step inequality and match the answer to the graph
Answer:
(see below; answers at the bottom)
Step-by-step explanation:
-4x + 7 ≥ 27
-4x ≥ 20
-x ≥ 5
Whenever you multiply or divide by a negative number in an inequality, flip the sign:
x ≤ -5
x/1 - 9 < -10
x - 9 < -10
x < -1
3x - 10 < -25
3x < -15
x < -5
5 (x - 2) > -15
Use Distributive Property:
5x - 10 > -15
5x > -5
x > -1
A) x < -5
So, A) 3x - 10 < -25.
B) x ≤ -5
So, B) -4x + 7 ≥ 27.
C) x < -1
So, C) x/1 - 9 < -10.
D) x > -1
So, D) 5 (x - 2) > -15.
If using the method of completing the square to solve the quadratic equation
x2 + 7x – 27 = 0, which number would have to be added to "complete the
square"?
To determine the constant that makes the expression (x² + kx) a perfect square,
Take the coefficient of the second term which is k and ÷2
In this case, it is (7/2)²
At the end it looks like
x² + 7x + (7/2)² = 27 + 49/4
(x + 7/2)² = 157/4
The number is added is 7/2² or 49/4.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
x² + 7x – 27 = 0.
Now, we have to half the coefficient of x and then add and subtract the square of half the coefficient of x
So, x² + 7x – 27 +7/2² - 7/2² = 0.
( x+ 7/2)² – 27- 49/4 = 0.
( x+ 7/2)² = 157/4
Hence, the number is added is 7/2² or 49/4.
Learn more about equation here:
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find a ⋅ b
a = 7i - 4j, b = 4i + 3j
Answer:
28i^2 + 5ij - 12j^2
Step-by-step explanation:
(7i-4j)(4i+3j)
7i times 4i is 28i^2
7i times 3j is 21ij
-4j times 4i is -16ij
-4j times 3j is -12j^2
In equation it looks like this:
28i^2+21ij-16ij-12j^2
Simplify 21ij and -16ij
21ij-16ij is 5ij
So the answer is:
28i^2 + 5ij - 12j^2
Hope this helps!
Answer:
The answer is 16
Step-by-step explanation:
Which equation is true?
Answer:
i think its the 3rd option
Solve. Use paper to show your work. Enter your answer in the box.
4\frac{5}{6}-2\frac{1}{2}=4
6
5
−2
2
1
=
4
4
Answer: illegel input- too many equals signs
Step-by-step explanation:
Find the value of k, represented as a decimal rounded to the nearest tenth.
5/7 = 12/k
Answer:
We conclude that the value of k represented as a decimal rounded to the nearest tenth is: [tex]k = 16.8[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{5}{7}=\frac{12}{k}[/tex]
We need to determine the value of k, represented as a decimal rounded to the nearest tenth.
Let us solve the expression
[tex]\frac{5}{7}=\frac{12}{k}[/tex]
Apply cross-function multiply: if [tex]\frac{a}{b}=\frac{c}{d}[/tex] then [tex]a\cdot \:d=b\cdot \:c[/tex]
[tex]5k=7\cdot \:12[/tex]
[tex]5k=84[/tex] ∵ 7 · 12= 84
Divide both sides by 5
[tex]\frac{5k}{5}=\frac{84}{5}[/tex]
Simplify
[tex]k=\frac{84}{5}[/tex]
[tex]k = 16.8[/tex] (Rounded to the nearest 0.1 or the Tenths Place)
Therefore, we conclude that the value of k represented as a decimal rounded to the nearest tenth is: [tex]k = 16.8[/tex]
help PLEASE!!! [URGENT]
PLZZ HELP ME IM DOING A TEST RNNNN.
Answer:
5(x)+5(y)=10
10(x)+2(y)=12
Step-by-step explanation:
i just got done with that same thing
pregón de servicio
kjjj
Answer:
what
Step-by-step explanation:
Rewrite the function by completing the square.
f(x) = x^2 + 14x + 64
Step-by-step explanation:
step 1. (x^2 + 14x + 49) + 15
step 2. (x + 7)^2 + 15.
A circular mirror has a diameter of 16.5 inches. What is the circumference of the mirror? Round to the nearest hundredth
Answer:
C≈51.84in
Step-by-step explanation:
C=2πr
d=2r
Solving for C
C= πd= π·16.5≈51.83628in
6(-5x - 16) = 30y + 84
Order the values of the differences from least to greatest. First, write the fractions as decimals. StartFraction 4 Over 5 EndFraction is and Negative 1 and one-half is . Next, plot the numbers on the number line. The greatest number is . Using the students' names, the correct order is .
Complete Question:
Ms. Perez's biology class grew sunflowers to learn about plants. During the first week, the average sunflower grew 3 inches. The table shows the difference from the average for three students.
Order the values of the differences from least to greatest.
Student: Raj. Difference (in.): 4/5
Student: Clara. Difference (in.): -1 1/2
Student: Jacob. Difference (in.): 0.9
Answer:
[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]
The greatest is: 0.9
By student names: Clara, Raj and Jacob
Step-by-step explanation:
See comment for complete question
Given
Differences:
[tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]
Required
Order from least to greatest
We have: [tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]
First convert fractions to decimal
[tex]\frac{4}{5} = 0.8[/tex]
[tex]-1\frac{1}{2}= -1.5[/tex]
[tex]-\frac{3}{4} = -0.75[/tex]
So, the differences become:
[tex]0.8[/tex], [tex]-1.5[/tex], [tex]0.9[/tex]
Now arrange from least to greatest
[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]
From the above representation,
The greatest is: 0.9
By student names, we have:
Clara, Raj and Jacob
This is done by simply replacing the numbers with the student name.
See attachment for number line
Answer:
4/5 is 0.8 , -1 1/2 is -1.5 , The greatest number is 1.3 , mia, raj, clara, jacob
Step-by-step explanation: