Answer:
La nota de Carolina es 15 puntos.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de ecuaciones lineales que tienen más de una incógnita, relacionadas mediante las ecuaciones.
En los sistemas de ecuaciones, se debe buscar los valores de las incógnitas. Al reemplazar en las ecuaciones, deben dar la solución planteada.
En este caso se debe plantear un sistema de ecuaciones, donde las incógnitas son:
x: nota de Carolinay: nota de CarmenAmbas notas juntas es igual a 34 puntos. Expresado matemáticamente es:
x + y= 34
Se sabe que Carmen obtuvo 4 puntos más que Catalina. Esto es:
y= x + 4
Entonces el sistema de ecuaciones a resolver es:
[tex]\left \{ {{x+y=34} \atop {y=x+4}} \right.[/tex]
A través del método de sustitución debes despejar una de las incógnitas en una de las ecuaciones y sustituir su valor en la siguiente. En este caso, ya tienes despejada la incógnita y en la segunda ecuación. Por lo que sustituyes esta expresión en la primer ecuación:
x+ x+4=34
Resolviendo obtienes:
x + x= 34 - 4
2*x=30
x= 30÷ 2
x=15
Sustituyendo este valor en la segunda ecuación obtienes:
y= x+4
y= 15 +4
y= 19
Recordando que "x" representa la nota de Carolina e "y" la nota de Carmen, entonces la nota de Carolina es 15 puntos y la nota de Carmen es 19 puntos.
A robot moves 3\text{ m}3 m3, start text, space, m, end text, turns more than 90\degree90°90, degree clockwise, moves 4\text{ m}4 m4, start text, space, m, end text more, turns clockwise again, then moves 3.6\,\text{m}3.6m3, point, 6, start text, m, end text. The robot ends where it started, as shown.
How far did the robot turn the first time?
Do not round during your calculations. Round your final answer to the nearest degree.
Answer:120
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
khan
3. The ratio of the side lengths of a pentagon is 1:3:4:6:9, and the perimeter is 115 yds. What is the measure of the 3rd longest side?
Answer:
20 yards
Step-by-step explanation:
By the given ratio, the side measurements are 1x, 3x, 4x, 6x, and 9x
We are given the perimeter of this shape is 115. Therefore, 1x+3x+4x+6x+9x=115.
We can solve that for x, so we can find each side measurements' numerical value.
(1+3+4+6+9)x=115
(23)x=115
x=115/23
x=5
So the side measurements are:
1x=1(5)=5
3x=3(5)=15
4x=4(5)=20
6x=6(5)=30
9x=9(5)=45
The third longest sife is 20 yards.
The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet
Complete question :
The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet. Find length of the ladder.
Answer:
17
Step-by-step explanation:
From Pythagoras :
Hypotenus = sqrt(opposite² + adjacent²)
From the diagram
l = sqrt((l-9)² + 15²)
l² = (l² - 18x + 81 + 225)
Square both sides
l² = l² - 18x + 306
l² - l² = 306 - 18x
18l = 306
l = 306/18
l = 17
A rectangle has a width of 8cm and a length given by the expression 2n +3. What is the correct expression to find the area of the rectangle?
Answer:
16n + 24
Step-by-step explanation:
Area of a rectangle= Length × width
= (2n+3) × 8
= 16n + 24
£864.00 to be accrued
after £800 is invested with
2% pa simple interest.
Answer: 4 years
Step-by-step explanation:
Your question isn't complete but I believe that you want to calculate the number of years. This will be:
Simple Interest = PRT/100
where,
Interest = 864 - 800 = 64
Principal = 800
Rate = 2%
Therefore, 64 = 800 × 2 × T /100
Cross multiply
64 × 100 = 1600T
6400 = 1600T
T = 6400/1600
T = 4
Therefore, time will be 4 years
The perimeter of a square (perimeter = 4 times one side) is less than 16 inches. One side of the square measures x. what are the viable solutions for the value of x?
Answer:
C
Step-by-step explanation:
The perimeter of the square has to be only positive values, and so there has to be restrictions on the values. We can rule out answers A and B. Because the perimeter the values of x have to be less than 4. If they were greater than 4, then 4x>16. So we can rule out answer d. The correct answer is C.
I need help fast and for real no bots
Answer: d. 201.06
Step-by-step explanation:
To find area of a circle we use the equation 2pi(r) or in this case 2*pi(16)= 804.25in^2 but since we are looking for the shaded region which is 1/4 or one-fourth of the circle so divide 804.25/4 to get 201 or specifically 201.06
What is the surface area of this right rectangular prism with dimensions of 8 inches by 4 inches by 14 inches?
a. 310
b. 400
c. 525
d. 650
Answer:
400
Step-by-step explanation:
The area of sides and add then up
Which of the following equations could be the line of best fit?
A. x = 100
B. y = 100
C. y = x + 100
D. y = x - 100
The real answer is B
I'm stuck. plz help I dont know how
Answer:
1) regular price ⇒ $X
Sale price:75,24
Regular price: 100, X
2) The Ratio of the numbers in the first column equals the to ratio
of numbers in the second one
so.. [tex]\frac{75}{124}=\frac{100}{x} \\[/tex]
X=100 ×24/75
X=$32
Regular price-sale price=32-24=$8
hope it helps...
8) What is X2 (119 - x) 1 You do! ( 3x +11)
Answer:
X2 (119 - x) = 119[tex]x^{2}[/tex]-[tex]x^{3}[/tex]
Step-by-step explanation:
are all vertical lines parallel?
Answer: Yes
Step-by-step explanation: All vertical lines have the same slope and because of that they are always parallel.
help pleaseeeeeeeeeee
plssss help
use the property that it says to solve the proportion ty
Answer:
the answer is 45 over 6
Step-by-step explanation:
A shortcut is "2 x _____ is 6", which is 3.
Multiply 15 by 3 also, to get 45,
45/6
Plz help I’ll mark brainliest:$
(1) x = -2 y = -8
(2) x = -1 y = -4
(3) x = 0 y = 0
(4) x = 1 y = 4
(5) x = 2 y = 8
Those are the answers for what y is so now i think you have to plug it in to the right side of the chart
Simplify 4(3n + 2b + k)
a. 12nbk
b. 12n + 2bk
c. 12n + 8b + 4k
d. 24bkn
Answer:
C
Step-by-step explanation:
4(3n+2b+k)
12n+8b+4k
So it would be C.
---
hope it helps
Someone help please
Answer:
it is 1000x+2000
Step-by-step explanation:
Mrs. Canales has 1,248 student pictures to displayaround the school. She plans to put them on 24 poster boards with the same amountof pictures on each poster board. How many student pictures will Mrs.Canales place on each poster board?
Answer:
52
Step-by-step explanation:
Its simple, its just division because she is asking how many for EACH(key word) so 1,248/24 equals 52 giving your answer.
mark brainliesttt??
plsssssd help me find the anwser
Round 4,368 to the nearest ten
Answer:
4,370
Step-by-step explanation:
.....just round the tenths place (6) up sense 8 is above 5 it rounds up so
4,370
sorry for bad explanation
A phone company charges a monthly fee of $35.00 and $0.10 per text message. Bridget wants to pay less than $1200.00 total for her monthly phone bill over a 12-month period. What is the most number of text she can send to stay within her budget for the year? Question 11 options: 11,650 11,649 7,800 7,799
A tub contained 80 gallons
of water. The water drained from
the tub at a rate of 5 gallons every 4
minutes. At this rate, how many
minutes did it take
for all the water to
drain from the tub?
Answer:
its 64 because 4x16= 64
Step-by-step explanation:
If four is added to a half of a
number. The result is equal to 2.
What is the number?
Answer:
-2
Step-by-step explanation:
4 + negative 2 (or -2) = 2
Susan found the equation of the best fit line for the data shown in the scatterplot. The slope of the line of best fit is
Answer:
Negative
Step-by-step explanation:
From the scatter plot displayed, we could clearly observe the direction of the trend line as it produces a negative slope. For high values of y, the values of x are low and similarly, high values of x have low y values. Therefore, this kind of relationship between the two variables is considered negative.
6,6 and 7 units down and 5 units left where is t'
Answer:
it's 1,-1
Step-by-step explanation:
hoped I helped. I'm good at these.
40
in.
in?
What is the area of this trapezoid?
b2 = 5 in.
h = 4 in.
2 in.
3 in.
b = 10 in.
1 3/4 cups of flour for one batch but he wants to make 1 1/2 batches. How many more cups of flour will he need
Answer:
[tex]2\frac{5}{8} cups = 1\frac{1}{2}\ batches[/tex]
Step-by-step explanation:
Given
[tex]1\frac{3}{4} cups = 1\ batch[/tex]
Required
Number of cups for [tex]1\frac{1}{2}[/tex] batches
[tex]1\frac{3}{4} cups = 1\ batch[/tex]
Multiply both sides by [tex]1\frac{1}{2}[/tex]
[tex]1\frac{1}{2} * 1\frac{3}{4} cups = 1\ batch * 1\frac{1}{2}[/tex]
[tex]1\frac{1}{2} * 1\frac{3}{4} cups = 1\frac{1}{2}\ batches[/tex]
Express fractions as improper fractions
[tex]\frac{3}{2} * \frac{7}{4} cups = 1\frac{1}{2}\ batches[/tex]
[tex]\frac{21}{8} cups = 1\frac{1}{2}\ batches[/tex]
Express fraction as improper fraction
[tex]2\frac{5}{8} cups = 1\frac{1}{2}\ batches[/tex]
I WILL MARK BRAINLIEST
Answer:
A.
Step-by-step explanation:
Consider the table of values and the equation, which both represent a function,
Which function has the greater rate of change?
And could you explain how you found the answer?
Answer:
y = 5x - 2
Step-by-step explanation:
✅Rate of change = change in y/change in x
Rate of change of the table of values using two pairs of values from the table (2, 8) and (3, 11):
Rate of change = (11 - 8)/(3 - 2) = 3/1
Rate of change = 3
✅Rate of change of the equation, y = 5x - 2.
The equation is represented in the slope-intercept form, y = mx + b.
Where, m = slope/rate of change
Therefore, rate of change if the equation would be 5.
Rate of change = 5
✔️The function that has the greater rate of change would therefore be y = 5x - 2
A buyer for a grocery chain inspects large truckloads of apples to determine the proportion p of apples in the shipment that are rotten. Unless there is clear evidence that this proportion is less than 0.06, she will reject the shipment. To reach a decision she will test the hypotheses
 ,  . To do so, she selects an SRS of fifty apples from the over 20000 apples on the truck.
Suppose that only two of the apples sampled are found to have major defects, and she proceeds with the test. The P-value of her test is
Answer:
P value = 0.23527 which is greater than 0.10
Step-by-step explanation:
Given :
Phat = proportion of rotten apple = 2/50 = 0.04
1 - phat = 0.96
p = 0.06
Tstatistic = (Phat - p) / sqrt[(Phat(1-Phat))/n]
Tstatistic = (0.04 - 0.06)/sqrt[(0.04(0.96))/50]
Tstatistic = (-0.02) / 0.0277128
Tstatistic = - 0.7216
Pvalue of Tstatistic
P(Z < - 0.7216) = 0.23527 (Pvalue calculator)