13. a point (-2,3) is reflected in the x - axis. find the image of the point.
a. (-3,-2)
b. (-3,2)
c. (-2,-3)
d. (-2,3)
14. a farmer feeds 20 goats with 500 kg of cassava. how many goats can be fed with 200 kg of cassava?
a. 2
b. 5
c. 8
d. 10
15. in an examination, abu answered nine questions in 2 hours. he spent 20 minutes on the first question and the same time on each of the remaining questions. how many minutes did he spend on each of the other questions?
a. 8.0 minutes
b. 10.0 minutes
c. 12.0 minutes
d. 12.5 minutes
16. a trader sold half of a piece of cloth and used two - fifths of the remaining to sew a dress. what fraction of the cloth was left?
a. 1/10
b. 3/10
c. 1/5
d. 1/2
17. solve 2^x = 8 * 2^0.
a. x = 3
b. x = 2
c. x=-2
d. x=-3
18. a boy walked round a circular pond once. if the radius of the pond is 28 m, find the distance covered. take π = 22/7
a. 44 m
b. 88 m
c. 176 m
d. 252 m
19. the points m(1,3) and n(4,4) are in the number plane. find the vector mn.
a. (3 2)
b. (3 - 2)
c. (5 8)
d. (5 - 8)
20. find the rule for the mapping:
1 2 3 4... t
1 9 20 31 42... -
a. t→10t - 1
b. t→8t + 1
c. t→11t - 2
d. t→7t + 2
21. if 2y = 5 - 3x, find x when y = 1.
a. - 2 1/3
b. - 1
c. 0
d. 1
22. given that 0.03 * y = 2.4, find the value of y.
a. 0.08
b. 0.8
c. 8.0
d. 80.0
23. find the gradient of the line which passes through the points (2,3) and (-4,5).
a. - 3
b. - 1/3
c. 1/3
d. 3
24. two interior angles of a triangle are (3x - 10)° and (4x + 20)°. find an expression for the third angle.
a. (170 - 7x)°
b. (150 - 5x)°
c. (120 - 7x)°
d. (100 - 5x)°
25. if a=( - 2 1) and b=( - 5 - 3), find 2a - b.
a. (1 5)
b. (-9 - 1)
c. (5 1)
d. (-1 - 1)
26. it costs a carpenter gh¢ 25.00 to make a chair. how much should it be sold to make a profit of 40%?
a. gh¢ 15.00
b. gh¢ 35.00
c. gh¢ 40.00
d. gh¢ 50.00

Question

Accepted Answer

13.
# Explanation:
## Step1: Recall reflection rule
When a point $(x,y)$ is reflected in the $x -$axis, the rule is $(x,-y)$.
For the point $(-2,3)$, applying the rule gives $(-2,-3)$.
# Answer:
C. $(-2, - 3)$

14.
# Explanation:
## Step1: Set up proportion
Let $x$ be the number of goats that can be fed with 200 kg of cassava.
We have the proportion $\frac{20}{500}=\frac{x}{200}$.
## Step2: Cross - multiply and solve
$500x = 20	imes200$, so $x=\frac{20	imes200}{500}=8$.
# Answer:
C. 8

15.
# Explanation:
## Step1: Convert 2 hours to minutes
2 hours = 120 minutes.
## Step2: Subtract time for first question
Time for remaining 8 questions is $120 - 20=100$ minutes.
## Step3: Find time per remaining question
Time per remaining question is $\frac{100}{8}=12.5$ minutes.
# Answer:
D. 12.5 minutes

16.
# Explanation:
## Step1: Let the original amount of cloth be 1
The trader sold half, so remaining is $1-\frac{1}{2}=\frac{1}{2}$.
## Step2: Calculate amount used for dress
Amount used for dress is $\frac{2}{5}	imes\frac{1}{2}=\frac{1}{5}$.
## Step3: Calculate remaining fraction
Remaining fraction is $\frac{1}{2}-\frac{1}{5}=\frac{5 - 2}{10}=\frac{3}{10}$.
# Answer:
B. $\frac{3}{10}$

17.
# Explanation:
## Step1: Rewrite 8 as a power of 2
$8 = 2^{3}$, so $2^{x}=8	imes2^{0}=2^{3}	imes1 = 2^{3}$.
Then $x = 3$.
# Answer:
A. $x = 3$

18.
# Explanation:
## Step1: Recall circumference formula
The distance around a circle (circumference) is $C = 2\pi r$.
Given $r = 28$ m and $\pi=\frac{22}{7}$, then $C=2	imes\frac{22}{7}	imes28=176$ m.
# Answer:
C. 176 m

19.
# Explanation:
## Step1: Use vector formula
If $M(1,3)$ and $N(4,4)$, then $\overrightarrow{MN}=\begin{pmatrix}4 - 1\4 - 3\end{pmatrix}=\begin{pmatrix}3\1\end{pmatrix}$.
# Answer:
A. $\begin{pmatrix}3\1\end{pmatrix}$

20.
# Explanation:
## Step1: Check each option
For option A:
When $t = 1$, $10t-1=10	imes1 - 1 = 9$; when $t = 2$, $10	imes2-1 = 19
eq20$.
For option B:
When $t = 1$, $8t + 1=8	imes1+1 = 9$; when $t = 2$, $8	imes2 + 1=17
eq20$.
For option C:
When $t = 1$, $11t-2=11	imes1-2 = 9$; when $t = 2$, $11	imes2-2 = 20$; when $t = 3$, $11	imes3-2=31$; when $t = 4$, $11	imes4-2 = 42$.
# Answer:
C. $t
ightarrow11t - 2$

21.
# Explanation:
## Step1: Substitute $y = 1$ into the equation
If $2y=5 - 3x$ and $y = 1$, then $2	imes1=5 - 3x$.
## Step2: Solve for $x$
$2=5 - 3x$, so $3x=5 - 2=3$, and $x = 1$.
# Answer:
D. 1

22.
# Explanation:
## Step1: Solve for $y$ in the equation $0.03	imes y=2.4$
$y=\frac{2.4}{0.03}=\frac{240}{3}=80$.
# Answer:
D. 80.0

23.
# Explanation:
## Step1: Recall gradient formula
The gradient $m$ of a line passing through $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.
Here $(x_1,y_1)=(2,3)$ and $(x_2,y_2)=(-4,5)$, so $m=\frac{5 - 3}{-4 - 2}=\frac{2}{-6}=-\frac{1}{3}$.
# Answer:
B. $-\frac{1}{3}$

24.
# Explanation:
## Step1: Recall sum of interior angles of a triangle
The sum of interior angles of a triangle is $180^{\circ}$.
Two angles are $(3x - 10)^{\circ}$ and $(4x + 20)^{\circ}$.
The third angle $A=180-(3x - 10)-(4x + 20)=180 - 3x+10 - 4x - 20=(170 - 7x)^{\circ}$.
# Answer:
A. $(170 - 7x)^{\circ}$

25.
# Explanation:
## Step1: Calculate $2a$
If $a=\begin{pmatrix}-2\1\end{pmatrix}$, then $2a=\begin{pmatrix}-4\2\end{pmatrix}$.
## Step2: Calculate $2a - b$
If $b=\begin{pmatrix}-5\-3\end{pmatrix}$, then $2a - b=\begin{pmatrix}-4-(-5)\2-(-3)\end{pmatrix}=\begin{pmatrix}1\5\end{pmatrix}$.
# Answer:
A. $\begin{pmatrix}1\5\end{pmatrix}$

26.
# Explanation:
## Step1: Calculate the selling price for a 40% profit
The cost price is GH₵25.00.
The selling price $S$ for a 40% profit is $S=(1 + 0.4)	imes25=1.4	imes25 = 35$.
# Answer:
B. GH₵35.00

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Recall reflection rule

Step1: Set up proportion

Step2: Cross - multiply and solve

Step1: Convert 2 hours to minutes

Step2: Subtract time for first question

Step3: Find time per remaining question

Answer: