Sam has 3x + 4 dollars saved. Tessa has saved 7x + 16 dollars. Together they
have $110 saved. How much money have they each saved individually?
Answers
Step-by-step explanation:
3x + 4 + 7x + 16 = 110
10x = 90
x = 9
therefore, Sam = $31 and Tessa = $79
Topic: Algebraic Equations
If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!
Answer:
Sam: 31
Tessa: 79
Step-by-step explanation:
3x+4+7x+16=110
10x+20=110
10x=110-20
10x=90
x=9
Money Sam saved
=3(9)+4
=27+4
=31
Money Tessa saved
=7(9)+16
=63+16
=79
Related Questions
Cat has a budget of $50 for school supplies. He needs to buy 5 binders, which cost $7 each. He plans to spend his remaining money on pencils, which cost $2 each. Set-up and solve Enano quality to determine how many pencils pet can buy.
Answers
Answer:
The least amount of pencils that can be bought is 7
Step-by-step explanation:
Step one:
Budget=$50
the cost of one binder= $7
then 5 binders will cost= 7*5= $35
the balance will be 50-35= $15
Step two:
let the number of pencils that can be bought be x
The cost of each pencil = $2
the remaining amount from the budget to get pencils is $15
Hence the number of pencils that can be bought is
x=15/2
x=7.5
The least amount of pencils that can be bought is 7
help pls asap!!!!!!!!!!!!!
Answers
Answer:
E' (1, -2)
Step-by-step explanation:
This is a counterclockwise rotation of 270, or a clockwise rotation of 90. A point that undergoes a 270 degree rotation follows this pattern:
(x, y) --> (y, -x)
(2, 1) --> (1, -2)
Which of the following transformations has the same result as a rotation of 90º CW?
a. dilation of scale factor of 9
b. rotation of 270º CCW
c. reflection about a horizontal line
d. translation down and to the right
Answers
Answer:
B...i'm pretty sure that this Is the right one
I WILL GIVE BARINLEST WHO HELP ME OK
Answers
Answer:
100
Step-by-step explanation:
multiplication, 20*5.
Answer:
i would go with 100
Step-by-step explanation:
20 times 5
help!!! 20 points and brainliest!!!
please give sensible answer!
URGENT!!!
Answers
(2) The sum of angles in a quad is always 360.
Take line RST and you get the value of angle RSP as 180 - 110 which is 70. This is due to them being linear pairs. Angles formed by a straight line is always 180 degrees!
110 + x = 180
x = 70
Now for y
Since we found values for all the 3 angles, which are 140, 110, 70, the 4th one is gonna be the sum of all the 3 angles subtracted from 360
140 + 110 + 70 + y = 360
y = 360 - (140 + 70 + 110)
y = 50 <- That's the answer.
(2) 2 of the angles are already given. If you look, angle U is 90 degrees. That's what the sign represents.
Angle Q (In the quad) is going to be 180 - 110 (Linear pairs) = 70
Since we found 3 angles the 4th one (angle R) is going to be 360 - (90 + 50 + 70) which is 360 - 210 which is 150.
Since angle R in the quad is 150, due to linear pair property, 3x = 180 - 150
3x = 30
x = 30/3 = 10
x = 10 <- That's the answer :D
Pls Help I will mark brainliest.
Answers
Answer:
It would be B.
Step-by-step explanation:
divide Y by X.
SOMEONE HELP. I WILL GIVE BRAINLIEST (I will report foolish answers)
Answers
Answer:
second A
Step-by-step explanation:
They are alternate interior angles
A company rents out 11 food booths and 20 game booths at the county fair. The fee for a food booth is $75 plus $4 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answers
Answer:
SHUT THE HELL UP
Step-by-step explanation:
Answer:
80×75+7+4x
Step-by-step explanation:
it's just a expression
Please help me with this!!!
Answers
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3700 seats. The students filled 52% of the seats in the theater. How many 6th graders went on the trip?
Answers
Answer: 1924
Step-by-step explanation:
Number if seats in the theater = 3700
Percentage of seats filled by students in the theater = 52%
The number of 6th graders that went on the trip will be gotten by multiplying 52% by 3700. This will be:
= 52% × 3700
= 52/100 × 3700
= 0.52 × 3700
= 1924
1924 students went on the trip
what is the difference between mutiplying and adding polynomials
Answers
Answer:
When you add polynomials, you combine only like terms together. When you multiply polynomials, you multiply all pairs of terms together.
Step-by-step explanation:
.
Answer:
adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about
complete factorization for -20x - 5y
Answers
Answer:
-5 (4x+y)
Step-by-step explanation:
Factor out -5, and -20/-5=4, -5/-5=1.
How can Lakota describe the data on the dot plot?
Choose all that apply.
spread
gap
peak
color
size of dots
cluster
Answers
Answer:
a,b,c,f
Step-by-step explanation:
The data described on the dot plot will be spread, gap, peak, and cluster. Then the correct options are A, B, C, and F.
What is the dot plot?A statistical chart called a dot chart or dot plot is made up of data points that are represented on a very basic scale, usually using filled-in circles. The dot chart comes in two widely used but quite different forms.
A statistical chart made up of data points drawn on a relatively basic scale is known as a dot diagram, sometimes known as a dot plot. One of the simplest statistical plots is the dot plot, which is typically applied to tiny data sets. They can be used to draw attention to outliers, gaps skew in the distribution and clusters.
The data described on the dot plot will be spread, gap, peak, and cluster. Then the correct options are A, B, C, and F.
More about the dot plot link is given below.
https://brainly.com/question/21862696
#SPJ6
The function p is defined as p(x) = x2 – 3x. If the
function q is defined as q(x) = p(x) – 4, what is the
value of q(10) ?
A) -30
B) 6
C)
66
D) 70
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]q(x) = {x}^{2} - 3x - 4[/tex]
[tex]q(10) = ( {10})^{2} - (3 \times 10) - 4 [/tex]
[tex]q(10) = 100 - 30 - 4[/tex]
[tex]q(10) = 70 - 4[/tex]
[tex]q(10) = 66[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus the correct answer is (( C )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The temperature is -10 degrees and increases 5 degrees. What temperature is it now.
Answers
Answer:
-5 degrees
Step-by-step explanation:
-10+5= -5
Answer:
-5 degrees
Step-by-step explanation:
Current temperature = initial temperature + increased temperature
Current temperature = [tex]-10+5[/tex]
Current temperature = [tex]-5[/tex]
What is the domain and range of these graphs ?
Answers
Plz help me agh! It’s linear stuff
Answers
Answer:
(1/2)x - y = -2
General Formulas and Concepts:
Pre-Alg
Equality PropertiesAlg I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStandard Form: Ax + By = C
Step-by-step explanation:
Step 1: Define equation
Slope-Intercept Form: 2 + (1/2)x = y
Step 2: Find Standard Form
Rewrite: y = (1/2)x + 2Subtract 1/2x on both sides: y - 1/2x = 2Factor negative: -(1/2x - y) = 2Divide both sides by -1: 1/2x - y = -2PLEASE ANSWER ASAP I NEED HELP.
IT WILL BE MUCH APPRECIATED
find the product (x+4)(x-3)
Answers
Answer:
Work shown below!
Step-by-step explanation:
(x + 4)(x - 3) = [tex]x^{2} -3x+4x-12=x^{2} +x-12[/tex]
Answer:
3
Step-by-step explanation:
2×-6=4×-12
-2. -2
-6=2×-12
+12. +12
6=2×
/2 /2
×=3
We call a natural number "nice" if there are only even digits in its recording. How many "nice" four-digit numbers are there?
Answers
Answer:
I suppose that this refers to numbers like:
N = abcd
Where a, b, c and d are single digits.
We want to find the number of 4-digit numbers such that:
a, b, c and d are even numbers.
So let's count the number of options for each digit, where we impose that the possible digits must be even.
a: Here we have the options {2, 4, 6, 8} ( 0 is an even digit, but if we take a = 0, then this would be a 3 digit number) Then we have 4 options for a.
b: Here we have the options {0, 2, 4, 6, 8}. 5 options in total.
c: Here we have the options {0, 2, 4, 6, 8}. 5 options in total.
d: Here we have the options {0, 2, 4, 6, 8}. 5 options in total.
The total number of possible combinations will be equal to the product of the number of options for each selection.
C = 4*5*5*5 = 500
There are 500 "nice" numbers of 4-digits.
The level of water in a draining pool can be modeled with the function d(t)=12(.72)^t, where d is the depth of water, measured in feet, and t is the amount of time it's been draining, measured in days. Inayah claims that the pool is draining at a rate of 1.36%per hour. Is she correct? Explain
Answers
Answer:
She is not correct, the claim is wrong
Step-by-step explanation:
Here, we want to check if a claim
made is correct
We can represent the exponential function as;
y = I( 1 - r)^t
So in this case;
1 - r = 0.72
r = 1 - 0.72
r = 0.28
This is same as 28%
So what this mean is that we expect a decrease of 28% per day
There are 24 hours on a day
So the decrease per hour will be 28%/24 = 1.167%
So as we can see the claim is wrong
The model of the level of water in a draining pool is an illustration of an exponential function.
Inayah's claim is incorrect, because the water drains at 28% per hour
The function is given as:
[tex]\mathbf{y = 12(.72)^t}[/tex]
An exponential function is represented as:
[tex]\mathbf{y = a(1 - r)^t}[/tex]
Where r represents the rate.
So, by comparison
[tex]\mathbf{1 - r = 0.72}[/tex]
Collect like terms
[tex]\mathbf{- r = 0.72 - 1}[/tex]
[tex]\mathbf{- r = -0.28}[/tex]
Multiply both sides by -1
[tex]\mathbf{r = 0.28}[/tex]
Express as percentage
[tex]\mathbf{r = 28\%}[/tex]
This means that, the water drains at 28% per hour
Hence, Inayah's claim is incorrect
Read more about exponential functions at:
https://brainly.com/question/15352175
!!HELP: 20 POINTS!! An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takes. The total cost of the electrician's services can be determined using the equation C=65+60t, where t is the number of hours the electrician spends at the house working. What is the slope of the equation and what is its interpretation in the context of the problem?
Answers
-60 t = 65-c —> divide both sides of the equation by -60
t = -13/12 + 1/60 c —> Write the solution t in parametric form
Answer:
t = -13/12 + 1/60 c , c eR
Uhm I’m not really sure about my answer but i hope it helps!
Sorry if it’s wrong..
Stay safe!
Find all values of x that make the triangles congruent. Explain.
When x=___, AB=CD=___ and AC=BD= ___, which means that AB≅CD and AC≅BD, BC≅BC by the Reflexive Property of Congruence. So, the triangles are congruent by the SSS Congruence Theorem.
I got x=5, but I'm confused about the AB=CD=___ and AC=BD=___. Could someone explain?
Answers
Answer:
Yes, you were correct with x=5. AB=CD=25 and AC=BD=23
Step-by-step explanation:
You already have x=5.
The first question is AB=CD=__ so you can just look at AB and you see it says 5x. You just substitute in the 5 for the x because you already got that. 5 times 5 = 25 and there is your first answer.
AC=BD=__ is your next question and you just look at AC and see "5x-2" and substitute in the x again. So you'll have 5(5)-2 which is 25-2 and your answer will be 23.
Yes, it is correct with x=5.It comes AB=CD = 25 and AC = BD=23.
Given that,
X = 5.We need to find out the AB = CD, And AC = BD.Based on the above information, the calculation is as follows:
AB = CD
Here AB = 5x
= 5(5)
= 25
So AB = CD = 25
Now
AC = BD
Here
AC = 5x - 2
= 5(5) - 2
= 25 - 2
=23
So AC = BD = 23
Therefore we can conclude that Yes, it is correct with x=5.It comes AB=CD = 25 and AC = BD=23.
Learn more: brainly.com/question/13549064
Just part A please as soonnn as possible I need help!!! Thanks!
Answers
Answer: -1 ≤ x ≤ 4.
Step-by-step explanation: To solve this problem, we first add 7 to the inequality: -4 ≤ 4x ≤ 16. Then we divide the entire equation by 4 to get -1 ≤ x ≤ 4.
ANSWER FAST Which statement about numbers is true? All whole numbers are rational numbers. All rational numbers are integers. All rational numbers are whole numbers. All integers are whole numbers
Answers
Answer:
The statement "(a) all whole numbers are rational numbers" is true.
Step-by-step explanation:
A rational number is the number which can be expressed in the from of [tex]\frac p q[/tex], where p, q are integers and q\neq0.
(a.) As all the whole numbers (0,1,2,3...) can be expressed in the form of p/q having q=1.
Hence, the statement "(a) all whole numbers are rational numbers" is true.
(b). As the rational numbers can have the fractional value but any integers don't have fractional value, so all the rational numbers are not integers.
Hence, the statement "(b). All rational numbers are integers" is not true.
(c). As the rational numbers can have the fractional value but any whole numbers don't have fractional value, so all the rational numbers are not whole numbers.
Hence, the statement "(c). All rational numbers are whole numbers." is not true.
(d). Integers( ...,-2,-1,0,1,2,...) can be negative, but the whole numbers (0,1,2,...) can't be negative. So, all integers can't be whole numbers.
Hence, the statement "(d). All integers are whole numbers" is not true.
Answer:
A
Step-by-step explanation:
Patricia frequently misspells the word MISSPELL. How many ways are there to misspell the word MISSPELL if all of the correct letters are used, but are placed in the wrong order?
Answers
Answer:
10079
Step-by-step explanation:
There are 8!/(2!*2!) = 10080 ways to arrange the letters of MISSPELL. There is only 1 right way to spell MISSPELL correctly so there are 10080-1 = 10079 ways to spell MISSPELL incorrectly.
-2.97 is the solution to which subtraction problem?
What is the atomic number of copper?
Answers
Answer:
the atomic number of copper equals 29
Use the compound angle formulae to find the following in surd form: tan 225°
Answers
Answer:
On the trig unit circle,
tan 225 = tan (45 + 180) = tan 45 = 1
What is the area of shape B?
Answers
Answer:
my answer is incorrect
Step-by-step explanation:
Since the two shapes are similar, you can answer this question with a proportion.
[tex]\frac{12}{200} = \frac{15}{area} \\12area = 200*15\\area = \frac{200*15}{12} = 250[/tex]
Another way you could solve it is to find the percentage growth of the height of the area.
[tex]\frac{15-12}{12} = \frac{3}{12} = 25[/tex] percent growth.
We can multiply the area of A by 1.25 to find the area of B
[tex]200*1.25 = 250[/tex]
edit: I was incorrect, it is not linear.
It would be [tex]200*(1.25)^2[/tex]
Answer:
312.5Step-by-step explanation:
12²=200cm²
15²=??
(15²×200)÷12²
=312.5
help please :DDDD kinda confused
Answers
Answer:
7 to the 7th power
Step-by-step explanation:
To get your answer you add your two exponents together and that becomes your new exponent. Your base number stays the same..
The answer is 7 ⁷
Step-by-step explanation: 7 ⁴ is 343 and 7 ³ is 2401 so if you multiply those together it is
823,543. 7 ⁷ in total is 823,543
i’ll give extra points pls help
Answers
Hope this helps
Answer:
A
Step-by-step explanation:
all triangles equal 180°, it gives you two angles on each triangles. if you add them together and subtract that from 180 you'll get the final angle. the angles on both triangles Are 45,63, and 72. (they add up to 180) and because both triangles have two angels that are the congruent. they are similar by the Angle angle postulate.
